0 = 3*d - 5*l - 21. Suppose 14*q = 16 + d. Factor -2/5*f + 0 - 4/5*f**q.
-2*f*(2*f + 1)/5
Let y(o) be the first derivative of o**6/30 - 6*o**5/25 + 2*o**4/5 - 205. Factor y(x).
x**3*(x - 4)*(x - 2)/5
Let f = -34 + 36. Factor -3*c**3 - c - c + 5*c**3 - 4*c**f + 4.
2*(c - 2)*(c - 1)*(c + 1)
Let l(h) be the third derivative of 1/6*h**6 - 10/9*h**3 - 29/45*h**5 + 7/6*h**4 + 32*h**2 + 0*h - 4/315*h**7 + 0. Suppose l(o) = 0. Calculate o.
1/2, 1, 5
Let o(l) be the second derivative of 0*l**2 + 25*l + 3/14*l**7 + 0*l**4 + 4/5*l**6 - 1/2*l**3 + 0 + 9/10*l**5. Factor o(u).
3*u*(u + 1)**3*(3*u - 1)
Suppose 0 = 4*b - 27 + 7. Suppose 3*v - b*d + 9 = 0, 3*v + 0*d = 2*d. Determine o, given that -14 - o + 0*o**2 + 2*o**v - 15*o + 46 = 0.
4
Let j = -142972/3 - -47658. Factor j*p**2 + 0 - 2/9*p**3 + 8/9*p.
-2*p*(p - 4)*(p + 1)/9
Let j(r) be the first derivative of -r**4/10 + 6*r**3/5 - 27*r**2/5 + 54*r/5 + 473. Factor j(k).
-2*(k - 3)**3/5
Let d(z) be the first derivative of 5/3*z**3 + 0*z + 16 - 5*z**2. Factor d(m).
5*m*(m - 2)
Factor -6*b**3 - b + 0 - 9/2*b**2 - 5/2*b**4.
-b*(b + 1)**2*(5*b + 2)/2
Let h(r) be the third derivative of r**5/240 + 17*r**4/96 - 257*r**2. Factor h(j).
j*(j + 17)/4
Let k = -2715/2 + 1360. Solve 1/2*l**3 + 1/2*l**4 - 3/2*l**2 - 1 - k*l = 0 for l.
-1, 2
Let g(s) be the second derivative of -s**4/18 - 61*s**3/9 + 62*s**2/3 + 34*s. Factor g(l).
-2*(l - 1)*(l + 62)/3
Suppose 0 = -3*o - 5*j + 18, 43*j + 24 = 4*o + 45*j. Let a(m) be the second derivative of 0 - 5/12*m**4 - o*m + 4/3*m**3 + 2*m**2. Suppose a(k) = 0. What is k?
-2/5, 2
Suppose 3*i + 5*q = -4, 0 = -6*i + 2*i - 5*q - 2. Let 2 + 2*k**2 - i - 6*k + 4 + 0 = 0. What is k?
1, 2
Let x(d) = -d**2 + 18 + 21*d**2 - 8*d - 19*d**2. Let i be x(5). Find w such that -9/2*w + 3/2 - 3/2*w**i + 9/2*w**2 = 0.
1
Let y(c) be the first derivative of c**6/14 - 12*c**5/35 + 9*c**4/14 - 4*c**3/7 + 3*c**2/14 + 497. Factor y(z).
3*z*(z - 1)**4/7
What is i in 21/2*i**3 - 1/2*i**4 + 19 - 37/2*i**2 - 21/2*i = 0?
-1, 1, 2, 19
Factor -24/5 + 1/5*x**2 - 2/5*x.
(x - 6)*(x + 4)/5
Suppose 0 = i - 3*m - 32 - 54, -5*i + 470 = -5*m. Let g = 101 - i. Determine r, given that -9/7*r**2 + 6/7*r + 0 + 3/7*r**g = 0.
0, 1, 2
Let h(n) be the first derivative of 9*n - n**3 + 6*n**2 - 3/2*n**4 - 9. Factor h(a).
-3*(a + 1)**2*(2*a - 3)
Let l(j) be the third derivative of j**8/23520 - j**7/2940 - j**6/2520 + j**5/140 + 5*j**4/12 + 37*j**2. Let q(f) be the second derivative of l(f). Factor q(w).
2*(w - 3)*(w - 1)*(w + 1)/7
Let b(f) = 56*f**2 - 104*f + 44. Let m(i) = -8*i**2 + 15*i - 6. Let h(g) = 6*b(g) + 44*m(g). Factor h(n).
-4*n*(4*n - 9)
Suppose -32 = -4*k - 5*a, 24 - 19 = 3*k - a. Let l(w) be the third derivative of 1/210*w**6 - 2/105*w**5 + 0*w + 0*w**4 + 0 + 6*w**2 + 0*w**k. Factor l(n).
4*n**2*(n - 2)/7
Let f be 96/64*10/3. Let v(h) be the third derivative of -1/630*h**7 + 0*h**4 + 1/90*h**5 - 1/18*h**3 + 0 + 0*h**6 - f*h**2 + 0*h. Factor v(d).
-(d - 1)**2*(d + 1)**2/3
Let z(j) = 5*j**2 + 4*j - 6. Let k(c) = c**2. Let o = 61 + -55. Let m(f) = o*k(f) - 2*z(f). Factor m(g).
-4*(g - 1)*(g + 3)
Let i(w) be the second derivative of 0*w**2 + 2/21*w**7 - 2/15*w**6 + 16*w + 0 + 13/3*w**4 - 7/5*w**5 - 4*w**3. Let i(k) = 0. What is k?
-3, 0, 1, 2
Let l(g) be the second derivative of -5/4*g**4 + 12*g - 5/3*g**3 + 5/2*g**2 + 0. Let l(z) = 0. Calculate z.
-1, 1/3
Let y(p) be the third derivative of p**6/24 - 3*p**5/4 - 5*p**4/24 + 15*p**3/2 + 25*p**2 - 1. Suppose y(m) = 0. Calculate m.
-1, 1, 9
Let m(i) be the second derivative of -i**7/10 - 3*i**6/4 + 27*i**5/20 + 5*i**4/4 - 11*i**2/2 + 15*i. Let k(j) be the first derivative of m(j). Factor k(c).
-3*c*(c - 1)*(c + 5)*(7*c + 2)
Let a be (-1870)/(-165) + 30/(-3). Suppose 8/3*f**2 - 10/3*f + a - 2/3*f**3 = 0. Calculate f.
1, 2
Let o(m) be the first derivative of -m**4/3 + 52*m**3/9 - 44*m**2/3 + 201. Factor o(r).
-4*r*(r - 11)*(r - 2)/3
Let o(m) = -61*m**2 + 1160*m - 17. Let j be o(19). Let 1/3*v**4 + 4/3*v**2 - 5/3 + j*v - 2*v**3 = 0. What is v?
-1, 1, 5
Let l(q) be the second derivative of -q**5/5 - 4*q**4/3 - 2*q**3/3 + 12*q**2 - 25*q. Factor l(d).
-4*(d - 1)*(d + 2)*(d + 3)
Let x(r) = 31*r**3 + 411*r**2 + 982*r - 11520. Let a(n) = -6*n**3 - 82*n**2 - 196*n + 2304. Let h(u) = -11*a(u) - 2*x(u). Find g, given that h(g) = 0.
-12, 4
Let f(m) be the third derivative of -m**8/1512 + 8*m**7/945 - 4*m**6/135 - 49*m**2 + 3*m. Factor f(j).
-2*j**3*(j - 4)**2/9
Let z(x) be the second derivative of x**5/35 - 2*x**4/21 - 10*x**3/21 + 12*x**2/7 + 14*x + 7. Let z(t) = 0. Calculate t.
-2, 1, 3
Let h(k) be the first derivative of -2/21*k**3 + 0*k**2 - 9 + 2/7*k. Determine d so that h(d) = 0.
-1, 1
Let p(w) be the second derivative of w**9/3024 - w**8/672 + w**7/504 + 13*w**4/12 + 11*w. Let x(h) be the third derivative of p(h). Factor x(q).
5*q**2*(q - 1)**2
Let a(w) be the first derivative of -5*w**3/3 + 760*w**2 - 115520*w - 14. What is t in a(t) = 0?
152
Suppose -79 = -11*o - 2. What is y in 0*y**2 + 2*y**2 + 12 + o*y + 33*y + 10*y**2 = 0?
-3, -1/3
Suppose -4*l - 2*m - 2*m - 8 = 0, 5*m = -3*l - 16. Suppose -t + l = -0*t. Suppose -t*w + w - 1 + 3 - 4*w**2 + 2 + 2*w**3 = 0. Calculate w.
-1, 1, 2
Let t(y) be the third derivative of y**8/336 - y**7/21 + 7*y**6/40 + y**5/15 - 7*y**4/6 + 498*y**2. Factor t(n).
n*(n - 7)*(n - 2)**2*(n + 1)
Suppose 22*h = 19*h - 480. Let v = h + 162. Suppose 0*x - 4/9*x**v + 0 - 2/9*x**3 = 0. Calculate x.
-2, 0
Let u be 3/9 - (-19)/(-228). Let c(s) be the first derivative of 17/12*s**3 + 0*s**2 - s + u*s**5 + 9/8*s**4 + 1. Factor c(m).
(m + 1)**2*(m + 2)*(5*m - 2)/4
Let i be (-33)/(-12) + (5 - (-95)/(-20)). Suppose -12*l = -i*l. Find v such that l - 8/3*v**2 - 4/3*v**3 + 4/3*v + 8/3*v**4 = 0.
-1, 0, 1/2, 1
Let u(i) = 4*i - 8*i**2 + 5 + 3*i**3 - i**3 + 5*i**3 - 3*i**3. Let s(m) = -2*m**3 + 4*m**2 - 2*m - 2. Let x(j) = -5*s(j) - 2*u(j). Determine q so that x(q) = 0.
0, 1
Let f(p) be the first derivative of p**4/20 - p**3/15 - 4*p**2 + 112*p/5 - 214. Determine j so that f(j) = 0.
-7, 4
Suppose f = 57*j - 56*j - 1, -4*f - 5*j + 5 = 0. Let u(z) be the first derivative of 1/44*z**4 + f*z**3 + 9 + 0*z - 1/22*z**2. Suppose u(q) = 0. What is q?
-1, 0, 1
Let m = 82/7 - 293/28. Factor 0*d + 1/4*d**3 + m*d**2 + 0.
d**2*(d + 5)/4
Let m = 17679/2 + -8837. Factor -9/2 - 1/2*o**3 - 3/2*o + m*o**2.
-(o - 3)**2*(o + 1)/2
Let y(k) = 15*k**3 + 3*k**2 - 6*k + 6. Let s(v) = 33*v**3 + 5*v**2 - 13*v + 13. Let c(i) = -6*s(i) + 13*y(i). Factor c(u).
-3*u**2*(u - 3)
Let d(w) = w**2 + 7*w - 6. Let s be d(-8). Let o(b) be the first derivative of 0*b + 7/6*b**3 + 9/8*b**4 + s - 1/2*b**2. Find q, given that o(q) = 0.
-1, 0, 2/9
Let f = 58 - 54. Find r such that 7*r - f*r - r**2 + 4*r = 0.
0, 7
Let s(r) = 71*r**2 + 59*r + 14. Let l(p) = 143*p**2 + 117*p + 27. Suppose 2*z + z + 20 = -2*t, -5*z - 4*t = 36. Let n(i) = z*l(i) + 7*s(i). Factor n(f).
-5*(3*f + 1)*(5*f + 2)
Let a(p) be the second derivative of -p**6/30 - p**5/10 + p**4/12 + p**3/3 - 6*p. Factor a(r).
-r*(r - 1)*(r + 1)*(r + 2)
Suppose -5*d + 5*y = -15 - 5, -2*y = -5*d + 17. Let q(i) be the first derivative of 125/7*i + d + 5/7*i**3 - 75/14*i**2 - 1/28*i**4. Factor q(c).
-(c - 5)**3/7
Let j(p) = -252*p - 249. Let m be j(-1). Suppose -4/3*q**2 + 0*q**m + 0*q + 2/3 + 2/3*q**4 = 0. What is q?
-1, 1
Factor -12*x**5 - 931*x**3 + 144*x**4 + 618*x**3 + 9*x**5 - 1422*x**3 + 7*x**3.
-3*x**3*(x - 24)**2
Let g(c) be the second derivative of c**5/15 - 10*c**4 - 2*c**3/9 + 60*c**2 + 369*c. Determine x, given that g(x) = 0.
-1, 1, 90
Let j(t) be the second derivative of 24*t + 0*t**2 + 3/4*t**5 + 0 + 5/4*t**4 + 5/6*t**3 + 1/6*t**6. Let j(f) = 0. Calculate f.
-1, 0
Factor 4/7*r**4 - 52/7*r**3 + 76*r - 168 + 116/7*r**2.
4*(r - 7)**2*(r - 2)*(r + 3)/7
Let l be ((-2)/42*-1)/(-15*6/(-270)). Let 0*z + 1/7*z**2 - l = 0. Calculate z.
-1, 1
Let b(k) be the third derivative of k**5/6 + 5*k**4/24 - 5*k**3/6 + 2*k**2 + 25. Factor b(d).
5*(d + 1)*(2*d - 1)
Suppose 55*b = 42*b + 39. Factor 0 - 4/7*n**2 - 4/7*n**4 + 1/7*n + 6/7*n**b + 1/7*n**5.
n*(n - 1)**4/7
Let l(m) = -m + 2. Let d(v) = 4*v + 8. Let a be d(-2). Let r be l(a). Solve -2/7 - 2/7*f + 2/7*f**3 + 2/7*f**r = 0.
-1, 1
Let q(x) be the third derivative of -x**6/900 - x**5/50 - 2*x**3/3 - 13*x**2. Let z(s) 