+ w*q - q**5 - 14*q**4 + 5*q**5 - 50*q**2 - 2*q**5 - 8.
2*(q - 2)**2*(q - 1)**3
Let r(h) be the first derivative of -15*h**4/4 + 8*h**3 - 9*h**2/2 - 63. Factor r(n).
-3*n*(n - 1)*(5*n - 3)
Let r(d) = -6*d**2 + 2*d - 1. Let z(k) = -k**2 + 1 - 96*k + 96*k. Let u(v) = 2*r(v) - 14*z(v). Factor u(j).
2*(j - 2)*(j + 4)
Let t(g) be the first derivative of g**7/840 - g**6/120 + g**5/60 + g**3 + 9. Let n(a) be the third derivative of t(a). Factor n(i).
i*(i - 2)*(i - 1)
Let o(w) be the second derivative of w**9/3780 - w**8/1680 - w**7/315 - 2*w**4/3 - 6*w. Let u(a) be the third derivative of o(a). Solve u(t) = 0 for t.
-1, 0, 2
Let q(i) be the first derivative of -i**5/40 + i**4/16 + i**3/8 - i**2/2 + i/2 - 117. Let q(s) = 0. Calculate s.
-2, 1, 2
Factor 1/3*h - 1/3 - 1/3*h**3 + 1/3*h**2.
-(h - 1)**2*(h + 1)/3
Determine c so that 49*c**4 - 275*c**3 - 45/2*c + 332*c**2 - 5/2*c**5 - 81 = 0.
-2/5, 1, 9
Let x be -4 - 3/((-6)/8). Determine z, given that 10*z**2 + 25*z**3 + 5*z**5 + 46*z**4 - 26*z**4 + x*z**3 = 0.
-2, -1, 0
Suppose q + 3*b - 8 + 3 = 0, 4*q = b + 7. Let t(c) be the second derivative of 3/40*c**5 - 1/8*c**3 + c + 0*c**q - 1/56*c**7 + 0*c**4 + 0*c**6 + 0. Factor t(y).
-3*y*(y - 1)**2*(y + 1)**2/4
Let l(d) be the first derivative of -d**8/2800 + d**7/700 - d**6/600 - 13*d**3/3 + 11. Let i(b) be the third derivative of l(b). Determine h so that i(h) = 0.
0, 1
Factor 31 + 21 + 18 - 65 - 5*u**2.
-5*(u - 1)*(u + 1)
What is i in -15*i + 162/5 - 3/5*i**2 = 0?
-27, 2
Suppose -3*i + 4*k + 82 = 5*k, i - 32 = -5*k. Suppose -i*t = -29*t. What is w in 0*w**2 - 4/3*w + t + 1/3*w**3 = 0?
-2, 0, 2
Let b be 132/154*2/3. Factor -24/7*c**2 + b*c**3 + 48/7*c - 32/7.
4*(c - 2)**3/7
Solve -24/5*v**3 + 0*v + 0 + 2/5*v**5 + 0*v**2 + 8/5*v**4 = 0 for v.
-6, 0, 2
Let r be ((-1)/3)/(7/(-357)). Let m = r + -15. Let -3*w**3 + 3*w**m - 4*w**4 + 4*w + w**4 - w = 0. What is w?
-1, 0, 1
Let h(g) be the first derivative of 7 + 2/9*g**3 - 2/3*g**2 + 0*g. Factor h(i).
2*i*(i - 2)/3
Factor -2497*w + 255*w**2 + 9965 - 1838*w + 21178 - 5*w**3 - 6578.
-5*(w - 17)**3
Let y be (((-4403)/68)/37)/(6/(-16)). Solve 11/12*t**4 + 43/12*t**3 + 73/12*t**2 + y*t + 1/12*t**5 + 4/3 = 0.
-4, -1
Let y(n) be the first derivative of -2*n**3/9 + 154*n**2/3 - 11858*n/3 - 271. Factor y(s).
-2*(s - 77)**2/3
Factor 40 + 1352*n - 1610*n**2 + 245*n**3 - 274*n - 160 - 218*n.
5*(n - 6)*(7*n - 2)**2
Let b = 852 - 848. Let w(p) be the third derivative of 0*p**b + 1/315*p**7 + 0 + 0*p**3 - 1/135*p**5 + 0*p + 1/108*p**6 - 2*p**2. Factor w(g).
2*g**2*(g + 2)*(3*g - 1)/9
Let m(x) be the second derivative of 1/90*x**6 + 1/18*x**3 + 0 + 0*x**2 + 1/20*x**5 - 12*x + 1/12*x**4. Find v, given that m(v) = 0.
-1, 0
Let i(y) = -11*y**5 + 24*y**3 + 15*y**2 - 5. Let b(f) = 6*f**5 - 12*f**3 - 9*f**2 + 3. Let c(r) = -5*b(r) - 3*i(r). Find x such that c(x) = 0.
-2, 0, 2
Let s(r) be the third derivative of 1/180*r**6 - 1/36*r**4 + 0 + r - 1/630*r**7 + 2*r**2 + 1/18*r**3 + 0*r**5. Let s(f) = 0. What is f?
-1, 1
Let s(x) be the second derivative of -x**6/900 + x**5/300 + 5*x**3/2 + 22*x. Let y(o) be the second derivative of s(o). Solve y(a) = 0.
0, 1
Let v(c) be the second derivative of 3*c**6/10 + 21*c**5/10 + 13*c**4/4 - 3*c**3 - 2*c + 1. Solve v(g) = 0 for g.
-3, -2, 0, 1/3
Suppose -10*l + 8 = -8*l. Factor 0*w**3 - l*w**3 - 313*w + 329*w.
-4*w*(w - 2)*(w + 2)
Solve 1760/3*j**2 + 54*j**4 + 0 + 968/3*j + 318*j**3 = 0 for j.
-22/9, -1, 0
Let r(m) = -4*m**3 - m**2 + 1. Let s be r(-1). Solve -b**4 - 15*b**2 + 12*b**2 + 0*b**4 + 5*b - s*b + 3*b**3 = 0 for b.
0, 1
Let t(q) = -2*q**4 + 2*q**3 - 2*q**2. Let p = 36 + -42. Let d(o) = -o**2 - o**3 + 3*o**3 - 2*o**4 - o**3. Let v(z) = p*d(z) + 4*t(z). What is x in v(x) = 0?
-1, 0, 1/2
Suppose -m + 24 = 4*d, -2*m = 2*d + 289 - 307. Factor -10*j**m + 0 - 28*j**3 - 88/5*j**2 - 16/5*j.
-2*j*(j + 2)*(5*j + 2)**2/5
Let o = -10345 - -10345. Factor 2*i**4 + o + 2*i**2 - 1/2*i - 3*i**3 - 1/2*i**5.
-i*(i - 1)**4/2
Suppose 0 + 0*y + 4/5*y**4 + 0*y**2 - 2/5*y**5 + 0*y**3 = 0. Calculate y.
0, 2
Factor -371/8*u**2 + 8649/2 + 1/8*u**3 + 4278*u.
(u - 186)**2*(u + 1)/8
Factor -2*m**2 - 275*m - 340 + 7*m**2 + 683 - 343.
5*m*(m - 55)
Let c = -1 - -6. What is z in -1/3*z**2 + 1/3*z**c + 0 - z**3 + 1/3*z**4 + 2/3*z = 0?
-2, -1, 0, 1
Let 0 - 9/2*f**3 + 3/2*f**2 + 9/2*f - 3/2*f**4 = 0. Calculate f.
-3, -1, 0, 1
Let o(j) = j**3 + j**2 - 7*j - 5. Let s be ((-2)/6)/((-3)/45). Let u(n) = 2*n**3 + n**2 - 10*n - 7. Let z(g) = s*u(g) - 7*o(g). Determine c so that z(c) = 0.
-1/3, 0, 1
Let r be 264/121 + (-4)/22. Suppose 2 = -r*s + 10. Let -3/2 + 9/2*o**s + 6*o - 6*o**3 - 3*o**2 = 0. Calculate o.
-1, 1/3, 1
Let q(j) = -j**2 + j + 17. Let x be q(0). Suppose -2*u + 5*f = -x, 0 = 2*u - 3*f + 2 - 13. Factor -u + 10 - 3*n**2 - 2*n + 16*n - 8*n.
-3*(n - 3)*(n + 1)
Let b(w) = 1. Suppose g + 1 = 2*g. Let s(y) = 7 - 1 + 1 - 2*y**2 + 5*y**2 + 5*y. Let j(n) = g*s(n) - 5*b(n). Factor j(u).
(u + 1)*(3*u + 2)
Factor 59924 + 288*z**2 - 9216*z + 38380 - 3*z**3 + 0*z**3.
-3*(z - 32)**3
Let s(x) be the second derivative of x**7/84 - 17*x**6/60 + 47*x**5/20 - 95*x**4/12 + 161*x**3/12 - 49*x**2/4 - 49*x. Factor s(c).
(c - 7)**2*(c - 1)**3/2
Let z = -6 + 8. Let v(k) be the first derivative of -9*k**z - 5 + k**3 + k**4 - 3*k - 10*k**3 - 5*k**4 + k**4. Solve v(j) = 0 for j.
-1, -1/4
Let o be 12/8 + 42 + -36. Let h(c) be the first derivative of -5*c - 5/4*c**4 - 5*c**3 - o*c**2 + 6. Factor h(v).
-5*(v + 1)**3
Suppose -28*v = -23*v - 15. Let h(j) be the second derivative of -4*j - 2*j**2 + 1/3*j**4 + 0 + j**v. Determine a so that h(a) = 0.
-2, 1/2
Let n = 15 + -17. Let g(w) = -13*w**2 - 12*w + 1. Let o(h) = 4*h**2 + 4*h. Let p(b) = n*g(b) - 7*o(b). Factor p(u).
-2*(u + 1)**2
Solve 7/3*j**3 - 2/3*j - 13/3*j**2 + 0 = 0 for j.
-1/7, 0, 2
Let q = 28483056727924/11403 - 2497856422. Let m = -2/1629 - q. Factor 16/7 + 20/7*w**2 - m*w - 4/7*w**3.
-4*(w - 2)**2*(w - 1)/7
Let v = 4755 + -4751. Factor 9/8*d**3 + 0*d - 1/4*d**2 - 7/8*d**v + 0.
-d**2*(d - 1)*(7*d - 2)/8
Let t(d) be the third derivative of d**6/90 - d**5/12 - d**4/4 + 2*d**3 + 11*d**2. Let y(l) be the first derivative of t(l). Factor y(r).
2*(r - 3)*(2*r + 1)
Let z(q) be the second derivative of q**4/8 - 73*q**3/4 - 111*q**2/2 + 9*q - 4. Solve z(r) = 0.
-1, 74
Suppose 3*c - 4 = 11. Let -4*y**c + 15*y**4 + 12*y**3 - 60*y**3 - 39*y**4 - 32*y**2 = 0. Calculate y.
-2, 0
Solve 10/7 + 2/7*l**2 + 12/7*l = 0.
-5, -1
Let r be -2 - (-15)/(-12)*(-6 - -2). Let x(s) = 28*s**2 - 92*s + 92. Let i(f) = -4*f**2 + 13*f - 13. Let a(c) = r*x(c) + 20*i(c). What is d in a(d) = 0?
2
Let j be (-13 - (-117)/13) + (8 - 0). Let d(w) be the first derivative of 0*w + 40/3*w**3 - 6 + 25/4*w**j + w**5 + 10*w**2. Determine y, given that d(y) = 0.
-2, -1, 0
Let w = 1 + -1. Let k be (((-8)/30)/(2/(-3)))/((-3012)/(-3765)). Factor w - k*o + 1/4*o**2.
o*(o - 2)/4
Factor -2/21*w**4 + 8/21*w**3 - 4/7*w**2 + 8/21*w - 2/21.
-2*(w - 1)**4/21
Determine c so that 12675/8 + 3/8*c**2 + 195/4*c = 0.
-65
Let c(b) be the first derivative of -4*b**5/5 - 7*b**4 - 24*b**3 - 40*b**2 - 32*b - 80. Solve c(v) = 0.
-2, -1
Suppose 0 - 36/5*l + 18/5*l**4 - 18/5*l**2 + 2/5*l**5 + 34/5*l**3 = 0. What is l?
-6, -3, -1, 0, 1
Solve -377 + 350*u + 185*u**2 + 5*u**3 + 377 = 0.
-35, -2, 0
Let 1/6*k**3 - 5/2*k**2 - 11/2*k - 17/6 = 0. What is k?
-1, 17
Let u(o) be the first derivative of 5*o**4/8 - 25*o**3/3 + 65*o**2/4 + 60*o + 368. Let u(z) = 0. Calculate z.
-1, 3, 8
Let j(m) be the first derivative of -m**6/6 - m**5/10 + m**4/8 - 84. Determine k, given that j(k) = 0.
-1, 0, 1/2
Let t(r) be the first derivative of r**4/14 - 88*r**3/21 + 12*r**2 - 637. Factor t(k).
2*k*(k - 42)*(k - 2)/7
Let g(i) = 5*i**2 + 135*i + 126. Let c(s) = -35*s**2 - 945*s - 880. Let w(j) = 2*c(j) + 15*g(j). Factor w(z).
5*(z + 1)*(z + 26)
Let o(f) = -6*f**3 - f**2 - f. Let u(a) = 5*a**3 - 101*a**2 + 208*a - 104. Let y(x) = -o(x) - u(x). Suppose y(m) = 0. Calculate m.
-104, 1
Let 20*d**3 + 75/2*d**2 - 20*d + 5/2*d**4 - 40 = 0. What is d?
-4, -1, 1
Suppose -33*k**3 - 42 + 78*k**3 - 79*k + 103*k - 62*k**2 - 229*k = 0. Calculate k.
-7/5, -2/9, 3
Factor 16*i**3 + 46*i**2 + 14 - 10 + 18*i + 2*i - 14*i**2.
4*(i + 1)*(2*i + 1)**2
Let f(t) be the first derivative of t**4/4 + t**3/2 - 10*t 