Let y be 1200/(-90) + 6 + 8. Factor 0 + 4/3*l - y*l**2 + 2/3*l**4 - 4/3*l**3.
2*l*(l - 2)*(l - 1)*(l + 1)/3
Find s such that 66/13 + 10*s + 62/13*s**2 - 2/13*s**3 = 0.
-1, 33
Solve -10/3 - 5/3*p + 5/3*p**2 = 0 for p.
-1, 2
Let q be -124*(-4)/32*2. Suppose q - 35 = -2*b. Solve 0 + 0*n**b + 2/11*n**3 - 2/11*n = 0.
-1, 0, 1
Let w(x) be the first derivative of 4/7*x**3 + 0*x**2 - 27 + 5/14*x**4 + 2/35*x**5 + 0*x. Solve w(g) = 0.
-3, -2, 0
Factor -o**2 - 16 + 56*o - 24 + o**2 - 15*o**3 + 4*o + 10*o**2.
-5*(o - 2)*(o + 2)*(3*o - 2)
Let u(q) be the first derivative of q**6/360 + q**5/120 - q**4/12 + 26*q**3/3 - 39. Let w(z) be the third derivative of u(z). Solve w(g) = 0.
-2, 1
Let j(y) = -4*y**5 - 4*y**2 - 3*y - 6. Let k(d) = 15*d**5 - d**4 + 16*d**2 + 11*d + 22. Let z(p) = 22*j(p) + 6*k(p). Factor z(q).
2*q**2*(q - 2)**2*(q + 1)
Solve 9/4*o - 1/2*o**2 - 1 = 0.
1/2, 4
Let j(o) = 9*o**2 + 1. Let m be j(1). Suppose -4*u + 8 = -3*l, m = 2*l - 4*l + 5*u. Factor 1 + 1 - 9*x**2 + 12*x - 5 + l.
-3*(x - 1)*(3*x - 1)
Let l(k) be the second derivative of -6*k + 9/130*k**5 + 0 - 5/78*k**4 + 7/195*k**6 - 3/13*k**3 - 2/13*k**2. Let l(v) = 0. What is v?
-1, -2/7, 1
Let g(u) = -5*u**3 + 628*u**2 + 49277*u - 7. Let f(a) = 3*a**3 - 314*a**2 - 24637*a + 4. Let k(n) = -7*f(n) - 4*g(n). Factor k(c).
-c*(c + 157)**2
Let u(p) = 189*p**3 + 693*p**2 + 359*p + 48. Let s(w) = 95*w**3 + 127*w + 24 + 14*w + 122*w**2 + 38*w + 225*w**2. Let n(l) = 7*s(l) - 3*u(l). Factor n(z).
2*(z + 3)*(7*z + 2)**2
Factor -2/13*w**5 - 384/13*w - 30/13*w**4 - 168/13*w**3 + 0 - 32*w**2.
-2*w*(w + 3)*(w + 4)**3/13
Suppose 417*s - 42 = 396*s. Let p(g) be the third derivative of -1/30*g**5 + 0*g**3 + 0*g + 8*g**s + 0 + 1/12*g**4. Factor p(t).
-2*t*(t - 1)
Let 21*g + 32887*g**2 - 32892*g**2 - 6*g = 0. What is g?
0, 3
Let n(s) be the first derivative of s**4/8 - s**3/15 - 78. Determine r so that n(r) = 0.
0, 2/5
Suppose 2378 = 21*y + 2336. Factor 7/3*b + 0*b**2 - y - 1/3*b**3.
-(b - 2)*(b - 1)*(b + 3)/3
Let k be (0/2)/((4 - 9)/(-5)). Let v(o) be the third derivative of 1/180*o**5 + 0*o**3 + 1/720*o**6 + 3*o**2 + 0*o + k + 1/144*o**4. Factor v(u).
u*(u + 1)**2/6
Let f(o) be the third derivative of 1/560*o**8 + 0*o - 10*o**2 + 0 + 0*o**3 + 1/1050*o**7 - 1/200*o**6 + 0*o**4 - 1/300*o**5. Find n such that f(n) = 0.
-1, -1/3, 0, 1
Let f(q) be the first derivative of 0*q**2 + 1/10*q**6 + 0*q - 10 - 3/20*q**4 + 3/25*q**5 - 1/5*q**3. Let f(s) = 0. What is s?
-1, 0, 1
Let l be (12/8*-2)/1. Let v be -4 - 168/(-40) - l/5. Factor 0 + 0*o - v*o**4 + 0*o**2 + 4/5*o**3.
-4*o**3*(o - 1)/5
Let c(x) be the second derivative of -3*x**5/140 + 5*x**4/14 - 9*x**3/14 - 2*x + 11. Let c(b) = 0. Calculate b.
0, 1, 9
Let q = -1559 - -9359/6. What is g in -1/6 + 5/3*g**3 + 1/6*g**5 - 5/3*g**2 + 5/6*g - q*g**4 = 0?
1
Let f = 24 - 84. Let m be (84/(-7))/f*10/7. Solve -6/7*o + 0 + m*o**2 = 0.
0, 3
Let g(f) be the third derivative of f**8/1680 + 2*f**7/175 + 47*f**6/600 + 13*f**5/75 - 2*f**4/5 - 32*f**3/15 + f**2 - 23. Factor g(m).
(m - 1)*(m + 1)*(m + 4)**3/5
Suppose 809 = -13*z - 491. Let i be -5 + z/(-12) + -3. Determine v, given that v**2 - 1/3*v + i*v**4 - v**3 + 0 = 0.
0, 1
Let v = 22 + -17. Let a(x) = -9*x**4 - 3*x**3 + 10*x**2 - 2*x - 11. Let r(m) = m**2 + m + 1. Let n(f) = v*r(f) + a(f). Let n(p) = 0. Calculate p.
-1, 2/3, 1
Let g(s) = -2*s**3 + 10*s**2 + 2*s - 13. Let r(d) = 0 - 40 + 30*d**2 - 5*d + 10*d - 2*d**3 - 3*d**3. Let x(v) = -10*g(v) + 3*r(v). What is j in x(j) = 0?
-1, 1, 2
Let m be 5/(-1) - ((-1953)/648 - 2). Let a(j) be the third derivative of 0 + 0*j**3 + 0*j - 3*j**2 - 1/360*j**5 + m*j**4. Factor a(i).
-i*(i - 2)/6
Let t(x) be the first derivative of -x**4/8 + 7*x**3/6 - 18*x + 399. Factor t(p).
-(p - 6)*(p - 3)*(p + 2)/2
Let g(q) be the third derivative of -q**7/315 + q**6/45 + 14*q**5/45 + 8*q**4/9 + 339*q**2. Factor g(c).
-2*c*(c - 8)*(c + 2)**2/3
Suppose 10*w**2 + 2*w - 101*w**3 - 48*w**2 + 38 - 107*w**3 + 206*w**3 = 0. What is w?
-19, -1, 1
Suppose -124*p**2 - 192*p**2 - 288*p - 5*p**5 + 48*p - 259*p**2 - 435*p**3 - 105*p**4 = 0. What is p?
-16, -3, -1, 0
Factor 38 - 35*q + 5*q + 14 + 3*q**2 - q**2.
2*(q - 13)*(q - 2)
Let h(p) = -p**4 - p**3 + p**2 + 1. Let k(n) = -2*n**4 + 17*n + 90*n**3 - 2*n + 14*n**2 - 7 - 110*n**3. Let l(y) = -5*h(y) + k(y). Let l(q) = 0. What is q?
-1, 1, 4
Determine w, given that 485*w**4 + 3*w**5 - 38*w**4 + 65983*w**3 + 511*w**4 - 9103*w**3 - 241*w**4 + 1478400*w**2 - 1536000*w = 0.
-80, 0, 1
Let u(x) = 990*x - 5. Let g be u(-3). Let h be (-4)/34 - 1200/g. Factor h*j + 0*j**3 - 4/7*j**2 + 4/7*j**4 + 0 - 2/7*j**5.
-2*j*(j - 1)**3*(j + 1)/7
Let y(j) be the second derivative of -j**7/3780 - j**6/60 - 9*j**5/20 + 5*j**4/3 - 13*j. Let f(w) be the third derivative of y(w). Let f(h) = 0. What is h?
-9
Let g(a) be the first derivative of -3*a**5/20 - 3*a**4/4 - a**3/4 + 9*a**2/4 - 92. Find o such that g(o) = 0.
-3, -2, 0, 1
What is x in 8/3*x + 0 - 40/9*x**2 - 2/9*x**4 + 2*x**3 = 0?
0, 1, 2, 6
Let z(j) = j**2 + j. Let k = 8 + -4. Let c(q) = -5*q**2 - 7*q. Let v(r) = k*z(r) + c(r). Find b, given that v(b) = 0.
-3, 0
Let x be (6/4)/((-15)/(-40)). Suppose -21 = -x*n - 5. Factor 0 + n + 9*y - 2 + 3*y**2 + 4.
3*(y + 1)*(y + 2)
Let j be (-3005)/(-25) + 3/(-15). Let a = 120 - j. Let -1/3*v - 1/3*v**3 - 2/3*v**2 + a = 0. What is v?
-1, 0
Let w(b) be the third derivative of -b**6/900 + 2*b**5/225 + b**4/36 + 8*b**2 + 12. Factor w(p).
-2*p*(p - 5)*(p + 1)/15
Suppose d + 49*k = 47*k - 5, 0 = 4*d - k - 16. Factor -4/7*v**2 + 0 - 2/7*v - 2/7*v**d.
-2*v*(v + 1)**2/7
Let c(m) be the second derivative of m**7/280 - m**5/40 - m**3 + 7*m. Let g(q) be the second derivative of c(q). Solve g(v) = 0.
-1, 0, 1
Let c(k) be the first derivative of 0*k + 3/4*k**4 - 2*k**3 + 3/2*k**2 + 13. Suppose c(u) = 0. Calculate u.
0, 1
Let t(j) be the first derivative of -j**3/18 + j**2/6 - j/6 - 975. Factor t(d).
-(d - 1)**2/6
Factor -2/3*k**2 + 8/9 + 19/9*k**3 - 28/9*k + 7/9*k**4.
(k - 1)*(k + 2)**2*(7*k - 2)/9
Let a = 895/669 - 1/223. Let r(c) be the second derivative of 5/18*c**4 - 16/9*c**3 + 5/6*c**5 + 0 + 3*c + a*c**2. Factor r(d).
2*(d + 1)*(5*d - 2)**2/3
Let l = -79 + 82. Let z(f) be the second derivative of -3*f**2 + 0 - 1/18*f**4 + 3*f - 2/3*f**l. Suppose z(c) = 0. What is c?
-3
Let w = -78 + 81. Factor -40 - 2*o + 36*o**w + 10*o**2 - 18*o - 31*o**3.
5*(o - 2)*(o + 2)**2
Let a(c) be the second derivative of -c**5/20 - 7*c**4/12 - 7*c**3/6 - 2*c**2 + c. Let s be a(-6). Solve 2*h + 6*h**s + 3*h**2 + 0*h**2 = 0 for h.
-2/9, 0
Let j be 3 - (126/(-15))/6 - 4. Let p = -2 + 4. Factor -j*a**3 - 4/5*a**p + 0 - 2/5*a.
-2*a*(a + 1)**2/5
Let t(q) = 9*q**2 + 6*q - 8. Let x(n) = n**2 + n. Let o(a) = a**3 + 12*a**2 + 13*a - 2. Let f be o(-11). Let g(j) = f*x(j) + 3*t(j). Factor g(h).
3*(h - 4)*(h + 2)
Let -165*z**2 + 3*z**4 + 139*z**2 - z**4 - 24*z = 0. Calculate z.
-3, -1, 0, 4
Factor -1/4*d**3 + 0 + 1/2*d + 1/4*d**2.
-d*(d - 2)*(d + 1)/4
Suppose 2*u - u - 679 = 4*l, -2*l - 337 = -3*u. Let f = l + 172. Determine h, given that -8/5*h - 12/5*h**f - 4/5*h**3 + 0 = 0.
-2, -1, 0
Factor -7*m**2 - m**2 + 4*m**2 + 5*m**4 + 15*m - 21*m**2 + 5*m**3.
5*m*(m - 1)**2*(m + 3)
Let 0*w + 2/5*w**4 + 0*w**2 + 0 + 4/5*w**3 = 0. What is w?
-2, 0
Let q be (80/24)/(-10)*(-6)/8. Factor -1/4 + q*o**2 + 0*o.
(o - 1)*(o + 1)/4
Let t(y) be the third derivative of y**7/420 - 13*y**6/80 + 179*y**5/60 + 10*y**4 - 200*y**3/3 + 171*y**2. Factor t(z).
(z - 20)**2*(z - 1)*(z + 2)/2
Let l(c) = -41*c**4 - 77*c**3 - 28*c**2 + 66*c + 36. Let m(o) = 8*o**4 + 15*o**3 + 5*o**2 - 13*o - 7. Let b(t) = 2*l(t) + 11*m(t). Suppose b(i) = 0. What is i?
-1, -5/6, 1
Let g = -16 - -18. Factor -5 + 2*p**2 + 4*p**2 - 5*p**3 + 5*p - p**g.
-5*(p - 1)**2*(p + 1)
Let b be (-4)/(-18) - 440/(-4500)*10. Let o(z) be the first derivative of 0*z + 2/3*z**3 + 0*z**2 + 5 + b*z**5 - 2*z**4. Solve o(l) = 0.
0, 1/3, 1
Let p(w) be the third derivative of w**6/240 - w**5/20 + w**4/6 - 5*w**2. Let p(z) = 0. Calculate z.
0, 2, 4
Let l(w) = -9*w**4 + 18*w**3 - 12*w**2 + 6. Let h(o) = 17*o**4 - 37*o**3 + 26*o**2 + o - 12. Let f(i) = 3*h(i) + 5*l(i). Suppose f(v) = 0. What is v?
-1/2, 1, 2
Suppose 4 = s - h, -2*s - 4*h = -7*h - 7. Suppose 0 = -s*f + f. Solve -d**2 - 2 + f*d**2 - d**2 - 4*d = 0 f