rmine p so that -n*p**3 + 0 - 11*p + 35/2*p**2 = 0.
0, 2/3, 11
Let t(p) be the second derivative of p**5/60 + p**4/24 - p**3 + 5*p**2 - 25*p. Let d(m) be the first derivative of t(m). Factor d(o).
(o - 2)*(o + 3)
Let h = 201683/80 - 2521. Let o(b) be the second derivative of -3/2*b**2 - 2*b - 1/8*b**4 - h*b**5 + 7/8*b**3 + 0. Factor o(d).
-3*(d - 1)**2*(d + 4)/4
Determine x so that 42/11*x + 40/11 + 2/11*x**2 = 0.
-20, -1
Let c = 140 - 127. Let v be c/6 + (-68)/34. Factor v*j**2 + 1/3*j + 1/6.
(j + 1)**2/6
Suppose -18 = -9*z + 27. Suppose -m = 2 - z. Factor -4/7 + 8/7*l**2 + 0*l + 0*l**m - 4/7*l**4.
-4*(l - 1)**2*(l + 1)**2/7
Suppose -116 = -5*u + 244. Let o be (-13)/((-1365)/u) - (-2)/(-7). Factor 2/5*q**3 + 0 + o*q**2 + 0*q - 2*q**4 + 6/5*q**5.
2*q**2*(q - 1)**2*(3*q + 1)/5
Suppose -311 = 13*g - 350. Solve 0 - 4*m - 14/3*m**2 + 12*m**g - 10/3*m**4 = 0 for m.
-2/5, 0, 1, 3
Find a, given that 0*a + 48/7*a**2 + 0 - 3/7*a**5 + 0*a**4 + 36/7*a**3 = 0.
-2, 0, 4
Let o(h) be the second derivative of 1/15*h**6 - 3/4*h**3 + 5/4*h**4 - 6*h + 0 + 23/40*h**5 + 0*h**2. Let o(r) = 0. Calculate r.
-3, 0, 1/4
Let q be -17*(-437)/17595 - (2 - 48/27). Factor 1/5*r**2 + 3/5*r - 3/5*r**3 + q*r**4 - 2/5.
(r - 2)*(r - 1)**2*(r + 1)/5
Let d = 52707/5 - 10540. Determine f so that 2/5*f + 0 + 9/5*f**3 + 1/5*f**5 + f**4 + d*f**2 = 0.
-2, -1, 0
Factor 0 - 1/9*p**3 + 5/9*p**2 + 14/9*p.
-p*(p - 7)*(p + 2)/9
Let v = 1612 - 14506/9. Determine l, given that -2/3*l**3 + 2/9 - v*l**2 + 2/3*l = 0.
-1, -1/3, 1
Suppose -13 = 4*c + q, 18 = -2*c - 2*c - 2*q. Let n be c/8 + (-57)/(-12). Determine a so that 0 + 3*a**2 - n*a**3 - 1/2*a = 0.
0, 1/3
Let i(k) = k**4 + 2*k**3 + k**2 - k. Let f(d) = -6*d**4 - 19*d**3 - 18*d**2 + 50*d + 50. Let o(q) = f(q) + 5*i(q). What is a in o(a) = 0?
-5, -1, 2
Let p(c) be the third derivative of -c**6/60 + 3*c**5/10 + 4*c**4 + 52*c**3/3 - 30*c**2 + 2*c. Let p(q) = 0. What is q?
-2, 13
Let s(w) be the first derivative of w**3 + 33*w**2/2 + 90*w - 297. Let s(f) = 0. What is f?
-6, -5
Let z(m) = -3*m**2 + 9*m + 122. Let t be z(8). What is v in -2/5*v**3 - 6/5*v + 8/5*v**t + 0 = 0?
0, 1, 3
Let d = 32 - 4. Factor -16 - 29*h - d*h**2 - 16*h - 47*h - 8.
-4*(h + 3)*(7*h + 2)
Let h(a) = -7*a**2 - 427*a - 417. Let d be h(-60). Factor -6*f**d + 3/4*f**4 + 27/4 + 33/2*f**2 - 18*f.
3*(f - 3)**2*(f - 1)**2/4
Suppose 6*m + 3 = 3*m, -5*t + 18 = 2*m. Let z(j) be the first derivative of 16/3*j**3 - 2 - j**t + 0*j - 8*j**2. Find b such that z(b) = 0.
0, 2
Suppose 13*r - 20 = 8*r. Factor -20*d**r + 7*d + 50*d**3 + 13*d - 10*d**3 - 36*d**2 - 4 - 4*d**2 + 4*d**5.
4*(d - 1)**5
Suppose -8 = 4*x - 5*c, 32 = 5*x + 5*c - 3. Factor -x*q**2 - 27*q + 27*q.
-3*q**2
Let v(m) be the third derivative of 1/320*m**6 - 3*m**2 - 1/48*m**4 + 1/120*m**5 + 0*m + 10 - 1/420*m**7 + 1/2688*m**8 + 0*m**3. Factor v(i).
i*(i - 2)**2*(i - 1)*(i + 1)/8
Let v be 2/10 + (-7)/((-210)/(-2976)). Let q = -296/3 - v. Factor 2*s**2 + 4/3*s + 4/3*s**3 + q*s**4 + 1/3.
(s + 1)**4/3
Let t(z) be the first derivative of z**6/33 + 14*z**5/55 + 15*z**4/22 + 26*z**3/33 + 4*z**2/11 - 699. What is c in t(c) = 0?
-4, -1, 0
Solve -2/5*y**3 + 14/5*y + 392/5 - 4*y**2 = 0 for y.
-7, 4
Suppose -29*b + 32*b - 225 = 0. What is w in w**2 + 4*w**2 + 30*w - 12*w**2 - b + 4*w**2 = 0?
5
Let d(h) be the first derivative of h**4/20 + 2*h**3/15 + h**2/10 - 10. Factor d(k).
k*(k + 1)**2/5
Suppose -4*v + 3*p + p - 1240 = 0, 0 = 3*v - 2*p + 929. Let t be (-21)/(-49) + v/(-63). Let t*h + 4/3*h**2 - 4/3*h**3 - 16/3 = 0. What is h?
-2, 1, 2
Let w(v) be the second derivative of -37*v + 11/5*v**5 + 8/21*v**7 + 0*v**2 + 0 + 2/3*v**4 + 26/15*v**6 + 0*v**3. Let w(y) = 0. What is y?
-2, -1, -1/4, 0
Let k(y) be the second derivative of 289*y**6/210 - 17*y**5/35 + y**4/21 - 27*y + 5. Determine n, given that k(n) = 0.
0, 2/17
Let c(b) = 2*b - 6. Let h be c(3). Suppose 4*m + 5*t - 11 = 0, 0 = 4*m + 3*t - 13 - h. Factor -4/7*u**3 + 16/7*u**2 + 4/7 + 2/7*u**5 - 2*u - 4/7*u**m.
2*(u - 1)**4*(u + 2)/7
Let t(g) be the second derivative of g**6/15 + 2*g**5/5 - 5*g**4/6 + 333*g. Factor t(x).
2*x**2*(x - 1)*(x + 5)
Let j(b) be the third derivative of -2/3*b**4 + 1/15*b**6 + 2/105*b**7 - 11*b**2 + 8/3*b**3 + 0*b - 1/5*b**5 + 0. Factor j(d).
4*(d - 1)**2*(d + 2)**2
Let x(q) be the third derivative of -1/15*q**5 + 0 - 98/3*q**3 - 3*q**2 + 7/3*q**4 + 0*q. Determine s so that x(s) = 0.
7
Let b(k) be the first derivative of 1/2*k**2 + 1/16*k**4 + 0*k - 24 - 5/12*k**3. Factor b(o).
o*(o - 4)*(o - 1)/4
Let q be 3/((-3)/7)*(-12)/21. Solve 0*d**q - 13*d**3 - 3*d**3 - 12*d**2 + 80*d + 9 - 59 - 2*d**4 = 0.
-5, 1
Let r = -250420/7 + 35776. Suppose -8/7*g**3 + r*g**2 - 8/7*g + 2/7 + 2/7*g**4 = 0. Calculate g.
1
Let b be (-57)/(-15) + 24/(-30). Let d be (-2 - 0)/((-4)/3). Let b*y - 3/2*y**2 - d = 0. Calculate y.
1
Let i = -1234/1555 + -2/311. Let k = i - -6/5. Factor -2/5*g**2 - k*g + 2/5*g**4 + 0 + 2/5*g**3.
2*g*(g - 1)*(g + 1)**2/5
Let r = 319/10 + -158/5. Let h(f) be the first derivative of -2/5*f**3 - 3/20*f**4 + r*f**2 + 2 + 6/5*f. Let h(j) = 0. What is j?
-2, -1, 1
Let d(x) = -x**3 + x**2 - 10*x - 32. Let f be d(-2). Factor -1/3*t**2 + 0*t - 1/6*t**4 + 1/2*t**3 + f.
-t**2*(t - 2)*(t - 1)/6
Let r(c) = c**2 + 12*c - 23. Let t be r(-14). Factor 22*h**2 + 7*h**4 + 37*h**5 + 3 + 28*h**t - 13*h - 18*h**3 - 66*h**5.
-(h - 3)*(h - 1)**4
Let l(q) be the first derivative of 2*q**5/35 - 3*q**4/14 - 2*q**3/21 + 3*q**2/7 + 245. Factor l(a).
2*a*(a - 3)*(a - 1)*(a + 1)/7
What is r in 4*r**3 - 80 + 2*r**4 - 84*r**2 - 164*r + 0*r**3 + 0*r**3 + 2*r**4 = 0?
-4, -1, 5
Let n(y) = 59*y**3 + 202*y**2 + 157*y + 20. Let b(f) = -710*f**3 - 2425*f**2 - 1885*f - 240. Let v(j) = -3*b(j) - 35*n(j). Factor v(l).
5*(l + 1)*(l + 2)*(13*l + 2)
Let v = 128785 + -35158241/273. Let q = v + 2/39. Factor -q*r + 4/7 - 6/7*r**2.
-2*(r + 1)*(3*r - 2)/7
Let s = 955/1872 + -7/144. Factor -4/13*a**2 + 0*a - 2/13*a**4 - s*a**3 + 0.
-2*a**2*(a + 1)*(a + 2)/13
Let l = -13 + 13. Suppose z + l = 4. Suppose -z*b + 4*b**3 - 5*b**2 + 0*b**4 + 3*b**4 + 3*b**2 - b**4 = 0. What is b?
-2, -1, 0, 1
Let r(u) be the third derivative of 0*u + 3*u**2 + 1/6*u**4 + 0 + 0*u**3 + 1/15*u**5. Factor r(v).
4*v*(v + 1)
Let s be (-9)/3*246/324. Let b = -16/9 - s. Factor 1/8*u + 1/8*u**5 + 0 + b*u**2 + 3/4*u**3 + 1/2*u**4.
u*(u + 1)**4/8
Let q = 19 - 17. Let t(y) = 3*y**2 - 3*y. Let n be t(q). Factor -12*b**2 + n*b - 14*b - 10*b + 8 - 2*b.
-4*(b + 2)*(3*b - 1)
Let p(k) = -1. Let r = -12 + 6. Let i(m) = 0*m**2 - 1 - 1 + 4*m**2 - 8*m**2. Let q(z) = r*p(z) + i(z). Determine g so that q(g) = 0.
-1, 1
Let z(c) = -12*c**5 + 30*c**4 - 39*c**3 - 15*c**2 + 24*c - 15. Let o(j) = j**5 - j**4 + j**3 + j**2 + j. Let u(k) = 9*o(k) + z(k). Factor u(w).
-3*(w - 5)*(w - 1)**3*(w + 1)
Factor 0 + 0*g**2 + 0*g + 5/2*g**3 + 3*g**4 + 1/2*g**5.
g**3*(g + 1)*(g + 5)/2
Let j(z) be the first derivative of 24*z**2 - 3*z**4 - 8 - 16*z - 16/3*z**3 + z**5. Solve j(v) = 0 for v.
-2, 2/5, 2
Let s(p) be the third derivative of p**5/50 + 41*p**4/60 - 4*p**3 - 185*p**2 + 1. Factor s(k).
2*(k + 15)*(3*k - 4)/5
Let k(r) = -r**3 + 6*r**2 + 8*r - 5. Let w be k(5). Suppose 6*q**2 + w*q**4 + 12*q**3 + 3*q**2 - 57*q**4 = 0. Calculate q.
-3, -1, 0
Let f(x) = x**3 + 39*x**2 - 97*x - 132. Let d(o) = -2*o**3 - 38*o**2 + 98*o + 132. Let v(t) = -3*d(t) - 2*f(t). Factor v(h).
4*(h - 3)*(h + 1)*(h + 11)
Let y be -1 - ((-2176)/180 + -3). Let q = y - 66/5. Let -80/9*i - 470/9*i**3 - q - 98/9*i**5 - 290/9*i**2 - 350/9*i**4 = 0. What is i?
-1, -2/7
Suppose 6 + 2/7*h**2 - 20/7*h = 0. Calculate h.
3, 7
Suppose 267 = 361*j - 174*j - 107. Factor -10/3*f - 4 - 2/3*f**j.
-2*(f + 2)*(f + 3)/3
Let k(b) be the second derivative of 1/30*b**4 + 0*b**2 + 10*b + 0 + 0*b**3. Factor k(l).
2*l**2/5
Let p(r) be the second derivative of r**5/5 - 5*r**4/3 + 4*r**3/3 + 16*r**2 - 4*r + 1. Factor p(a).
4*(a - 4)*(a - 2)*(a + 1)
Suppose -1 - 8 = -3*g. Suppose 9*u + 3 + 2 - 2*u**g + u**3 + 3*u**2 = 0. What is u?
-1, 5
Let d(w) be the second derivative of -w**5/220 + w**4/11 - 7*w**3/22 + 5*w**2/11 + 16*w + 18. Determine v so that d(v) = 0.
1, 10
Let i(q) be the first derivative of 2*q**6/15 - q**4/5 - 259. Factor i(h).
4*h**3*(h - 1)*(h + 1)/5
Let b = 9208/23045 - -2/4609. Let o(s) be the first derivative o