.
-3*h*(h - 2)*(h - 1)**2
Let x(c) be the third derivative of 12*c + 2*c**4 + 0 - 1/15*c**5 + 26/3*c**3 + 2*c**2. Suppose x(v) = 0. What is v?
-1, 13
Suppose -4*b - 4*w = b + 6, w + 2 = -b. Let c(f) = 24*f - 164. Let i be c(7). Let -i*y - y**2 + 0*y**b + y = 0. What is y?
-3, 0
Let s(g) = g**3 + g**2. Let o(q) = -9*q**3 - 9*q**2 + 6*q. Let m(w) = o(w) + 6*s(w). Factor m(k).
-3*k*(k - 1)*(k + 2)
Let t be 1 + -6 + 1*(-459)/(-85). What is o in -6/5*o**4 + 4/5*o**2 + t - 6/5*o + 2/5*o**5 + 4/5*o**3 = 0?
-1, 1
Let y(p) be the second derivative of -18*p - 3*p**3 + 1/4*p**4 + 0*p**2 + 0. Factor y(k).
3*k*(k - 6)
Suppose -2*v - 3*l + 1 = 5, -4*v + l = 8. Let w = 1/2 - v. Let -w*i**4 - 5/2*i**3 + 5/2*i**2 + 5/2*i + 0 = 0. Calculate i.
-1, 0, 1
Let h(a) = 18*a + 3. Suppose -2*m = 4*j - 6 + 2, -2*j + 4*m = 8. Let r be h(j). Factor -3*b**2 - 3/4*b**r + 0 - 3*b.
-3*b*(b + 2)**2/4
Let d(i) be the second derivative of i**6/15 - 6*i**5/5 + 5*i**4/3 + 4*i**3 - 11*i**2 + 96*i. Factor d(j).
2*(j - 11)*(j - 1)**2*(j + 1)
Let r(z) be the second derivative of -5*z**4/12 + 5*z**2/2 - 17*z - 2. Solve r(v) = 0 for v.
-1, 1
Suppose -3/2*i + 1/4*i**2 - 10 = 0. Calculate i.
-4, 10
Factor -8*b - 21*b + 3*b**2 - 3*b - 36 + 13*b**2 - 12*b**2.
4*(b - 9)*(b + 1)
Factor -2*q + 1/4*q**2 + 0.
q*(q - 8)/4
Let i = 7426/4635 - 2/927. Suppose -i*u + 12/5*u**2 + 2/5*u**4 + 2/5 - 8/5*u**3 = 0. What is u?
1
Suppose 0*v + 0 - 1/4*v**5 + 3/4*v**2 + 5/4*v**4 - 7/4*v**3 = 0. What is v?
0, 1, 3
Let j(q) be the third derivative of q**5/30 + 7*q**4/12 + 2*q**3 + 2*q**2 - 11*q. Factor j(i).
2*(i + 1)*(i + 6)
Let p = -4710/7 + 23718/35. Factor 114/5*m**2 + 84/5*m + p + 15*m**3 + 24/5*m**4 + 3/5*m**5.
3*(m + 1)**2*(m + 2)**3/5
Let k(d) = d**4 - 29*d**3 + 11*d**2 + 17*d - 18. Let u(w) = w**4 + w**3 - 2*w**2 + w + 2. Let r(n) = -k(n) - 6*u(n). Let r(b) = 0. What is b?
-1, 2/7, 1, 3
Suppose 5*m = 1 + 14. What is b in 0*b**m - 206*b**4 + 6*b**3 + 208*b**4 = 0?
-3, 0
Let s be (28 - (1 - 0))*(-147)/(-882). Factor -1 + 7/2*v + s*v**2.
(v + 1)*(9*v - 2)/2
Find h, given that -2/17*h**2 - 20/17 - 14/17*h = 0.
-5, -2
Let b(p) be the third derivative of 0*p**3 + 1/135*p**6 - 1/27*p**4 - 1/270*p**5 + 0*p + 20*p**2 + 1/945*p**7 + 0. Let b(m) = 0. Calculate m.
-4, -1, 0, 1
Let y(x) be the first derivative of x**7/168 + x**6/60 - x**4/24 - x**3/24 - 5*x - 9. Let h(j) be the first derivative of y(j). Factor h(r).
r*(r - 1)*(r + 1)**3/4
Factor 27*r**3 + r - 16*r**4 + 15 + 16*r**2 - 15 - 5*r - 23*r**3.
-4*r*(r - 1)*(r + 1)*(4*r - 1)
Let a = 1543764544/465 - 3319926. Let v = 78/31 + a. Factor -4/15*p + 0*p**2 + 2/15 - 2/15*p**4 + v*p**3.
-2*(p - 1)**3*(p + 1)/15
Let p = 269 + -209. Factor -40 - p*o**2 + 80*o + 20*o**3 - 5/2*o**4.
-5*(o - 2)**4/2
Let d(l) be the first derivative of -l**6/90 - l**5/10 - l**4/3 + 17*l**3/3 + 23. Let h(y) be the third derivative of d(y). Find u, given that h(u) = 0.
-2, -1
Let v be (-2)/20 - 3417104/(-1440). Let j = v + -2370. Determine w so that 0*w + 0 + 2*w**5 + j*w**3 - 40/9*w**4 - 4/9*w**2 = 0.
0, 2/9, 1
Let x = 2521/1669104 + 5/2768. Let v = 5431/1206 - x. Determine s so that s + 0 + 11/2*s**2 + v*s**3 = 0.
-1, -2/9, 0
Suppose 0 = 3*g - 9. Let z = 86 - 59. What is b in -30*b**g - 6 - 42*b**3 + 9*b + z*b**3 - b**2 + 43*b**2 = 0?
-2/5, 1/3, 1
Let d(r) be the third derivative of -r**5/360 + r**4/24 - 55*r**2. Factor d(k).
-k*(k - 6)/6
Let t(s) be the first derivative of 7*s**4/3 - 10*s**3 + 4*s**2 + 2*s + 29. Let b(h) be the first derivative of t(h). Determine u so that b(u) = 0.
1/7, 2
Let m(h) be the second derivative of h**9/10080 - h**7/840 + h**5/80 - 3*h**4/4 - 3*h. Let a(r) be the third derivative of m(r). Solve a(v) = 0.
-1, 1
Let i(t) be the first derivative of 0*t + 3/28*t**4 - 1/14*t**2 - 32 + 2/21*t**3. Factor i(c).
c*(c + 1)*(3*c - 1)/7
Find k such that -51*k - k**2 + 7 + 3 + 96*k - 36*k = 0.
-1, 10
Let o(n) be the first derivative of 27*n**4/32 + 3*n**3/2 + n**2 - 3*n + 21. Let d(u) be the first derivative of o(u). Factor d(g).
(9*g + 4)**2/8
Let x = 30 - 28. Factor 10*v**3 + v**2 + v**2 + 10 + 27*v**2 + 35*v + 6*v**x.
5*(v + 1)*(v + 2)*(2*v + 1)
Factor 130*n + 35*n**4 - 35*n**2 - 42*n**2 - 55*n**3 - 215 + 135 + 5*n**5 - 18*n**2 + 60*n.
5*(n - 1)**3*(n + 2)*(n + 8)
Let u(i) = i. Let r be 2/5 + 84/(-60). Let c(d) = 2*d**2 + 3*d - 4. Let s(n) = r*c(n) + 5*u(n). Factor s(z).
-2*(z - 2)*(z + 1)
Let i be ((-10933)/116)/((-285)/2). Let q = i + 1/190. Let q*w + 2/3*w**2 - 2/3 - 2/3*w**3 = 0. What is w?
-1, 1
Suppose -33 = -7*m - 4*m. Let a be (168/189)/(8/m + -2). Let 2/3 + 10/3*d**4 + 16/3*d**3 - 4*d**2 - 4*d**5 - a*d = 0. What is d?
-1, -1/2, 1/3, 1
Let o(x) be the second derivative of x**5/130 - 5*x**4/39 - 11*x**3/39 + 8*x. Find q such that o(q) = 0.
-1, 0, 11
Let d(i) = -3*i. Suppose -5*y = h - 3*h - 1, -14 = 4*h + 2*y. Let u(j) = 3*j - 6*j - 170*j**2 + 171*j**2. Let p(t) = h*u(t) + 2*d(t). Let p(m) = 0. Calculate m.
0, 1
Let f be 75/(-30)*(-114)/(-40). Let a = -43/8 - f. Determine g, given that -1/4 + a*g**2 - g**3 - 1/2*g = 0.
-1/4, 1
Let p = 35 - 32. What is d in -12*d**2 - 13*d**2 - d**2 - 20*d - 2*d**3 + 8 - 5*d**p = 0?
-2, 2/7
Let j(o) be the third derivative of 1/10*o**5 - 5*o**2 + 1/112*o**8 + 0 + 3/20*o**6 + 3/2*o**3 + 0*o - 1/14*o**7 - 7/8*o**4. Let j(z) = 0. Calculate z.
-1, 1, 3
Let h(y) be the second derivative of -y**7/189 + y**6/45 + 23*y**5/90 + 11*y**4/18 + 14*y**3/27 - y + 2. Determine x, given that h(x) = 0.
-2, -1, 0, 7
Let c(g) = -4*g**3 - 18*g**2 - 66*g - 76. Let q(j) = j**3 - j**2 + 2. Let w(h) = c(h) + 2*q(h). Let w(l) = 0. What is l?
-4, -3
Suppose -8*x = -6*x - 13*x - 8*x. Factor 0*q - 1/3*q**2 + x.
-q**2/3
Let b be (-12)/(-3)*(12 + -11). Let f(u) = -10*u + 44. Let d be f(b). Find z, given that -z**3 - z + 1/4 + 3/2*z**2 + 1/4*z**d = 0.
1
Let n = 4325 - 4325. What is h in -2/3*h - 5/6*h**3 - 1/6*h**4 - 4/3*h**2 + n = 0?
-2, -1, 0
Determine v, given that -47*v - 5/4*v**2 + 19 = 0.
-38, 2/5
Let o(w) be the first derivative of -4 + 0*w - 1/13*w**2 - 1/26*w**4 + 4/39*w**3. Suppose o(m) = 0. What is m?
0, 1
Let u(z) be the third derivative of z**7/945 - z**6/90 + z**5/30 - z**4/27 + 6*z**2. Determine h so that u(h) = 0.
0, 1, 4
Factor 12*b - 143*b**2 - 8*b - 5 + 138*b**2 + 6*b.
-5*(b - 1)**2
Let a(t) = -t**4 - 7*t**3 - 10*t**2 + 7*t - 7. Let u(s) = -s + 1. Let v(h) = -5*a(h) - 35*u(h). Suppose v(q) = 0. What is q?
-5, -2, 0
Let l = 877 + -873. Let u(v) be the second derivative of 11/10*v**5 + 0 + 1/3*v**7 + 16/15*v**6 + v + 0*v**2 + 1/3*v**l + 0*v**3. Factor u(b).
2*b**2*(b + 1)**2*(7*b + 2)
Let a be -3*(-4 - -7 - 4). Factor 1/3*n**4 + 1/3*n**a + 0 - 2/3*n**2 + 0*n.
n**2*(n - 1)*(n + 2)/3
Let p(c) be the second derivative of c**7/231 + 2*c**6/55 + 9*c**5/110 + 2*c**4/33 - 5*c - 16. Suppose p(k) = 0. Calculate k.
-4, -1, 0
Let n(c) be the third derivative of 5/24*c**4 + 0*c + 1/6*c**5 - 33*c**2 + 0*c**3 + 0 + 1/24*c**6. Factor n(t).
5*t*(t + 1)**2
Let g = 10 - 7. Suppose 1 = -3*j + 4*y + g, 0 = -4*j + 2*y + 6. Factor -t**4 - 34*t + 31*t - j*t**4 + 3*t**3 + 3*t**2.
-3*t*(t - 1)**2*(t + 1)
Solve -7/3*l**2 - l**3 + 1/6*l**4 - 11/6*l - 1/2 + 1/6*l**5 = 0.
-1, 3
Suppose 3 = -f + 35. Let y be ((-6)/8)/((-84)/f). Factor y*z - 2/7*z**2 + 0.
-2*z*(z - 1)/7
Suppose 3*k = 4*c + 7, 4*c - 1 = -4*k + c. Suppose 5*a - k = 14. Factor y**2 + 25*y**3 - 21*y**a + 3*y**2.
4*y**2*(y + 1)
Let m(x) be the first derivative of -8*x**5/5 - 5*x**4 - 8*x**3/3 + 130. What is i in m(i) = 0?
-2, -1/2, 0
Suppose 228*n**3 - 152*n + 4*n**5 + 450*n - 5*n**2 + 84 + 48*n**4 + 397*n**2 - 2*n**5 + 4*n**4 = 0. Calculate n.
-21, -2, -1
Let t(z) = 25*z**2 - 6*z**2 - 5*z**2 - 8*z - 12. Let a = 4 - 5. Let g(x) = x**2 - x - 1. Let d(q) = a*t(q) + 12*g(q). Determine i so that d(i) = 0.
-2, 0
Factor -6/7 + 2/7*r**3 + 6/7*r**2 - 2/7*r.
2*(r - 1)*(r + 1)*(r + 3)/7
Let m be 3/(9/30 - (11 + -1 + -10)). Find c, given that -32/3*c**4 + 0 - 4/3*c + m*c**2 - 16*c**3 = 0.
-2, 0, 1/4
Let h = -30 + 26. Let l be 32/(-12)*h/8. Factor 2/3*b**5 + 4/3*b**3 - l*b**2 - 2*b + 2*b**4 - 2/3.
2*(b - 1)*(b + 1)**4/3
Let u be 2/5 + (-988)/20 + 2. Let l = 47 + u. Let 0 + 1/2*c**2 + l*c = 0. What is c?
0
Let q be 56/112 - 3/(-5 + 2). Let -27/2 + 27/2*x**2 + q*x**3 - 3/2*x = 0. Calculate x.
-9, -1, 1
Let p(r) be the th