94*k**2. Factor d(h).
2*(h - 18)*(h + 2)**2/13
Let i(w) be the first derivative of -w**3/6 + 8*w**2 - 128*w + 33. Suppose i(g) = 0. What is g?
16
Let d be 3 + 2 - 1425/(-15). Factor 8*t**3 - 8*t + d*t**4 - 80*t**4 - 9*t**2 - 11*t**2.
4*t*(t - 1)*(t + 1)*(5*t + 2)
Let i(r) = -r**3 - 13*r**2 - 11*r - 6. Let k be i(-12). Let v = k + 20. Let 92*y**3 - 19*y**2 - 28*y**4 + 3*y**2 - 64*y**v + 16*y = 0. What is y?
0, 2/7, 1, 2
Find d such that 1/2*d**2 - 1/2*d + 0 = 0.
0, 1
Suppose -4*r = 2*q - 7 + 17, -4*r + 5*q = -11. Let u(b) = b. Let k(g) = -3*g**2 - 15*g. Let i(c) = r*k(c) - 15*u(c). Solve i(t) = 0.
0
Let c(f) be the third derivative of -f**6/30 + 11*f**5/180 - f**4/36 + 69*f**2. Factor c(k).
-k*(3*k - 2)*(4*k - 1)/3
Let d(m) be the third derivative of 0*m - 3*m**3 + 0 + 1/8*m**6 - 1/8*m**4 - 13*m**2 + 13/20*m**5 - 3/70*m**7. Let d(y) = 0. Calculate y.
-1, 2/3, 3
Factor 26*b - 6*b + 42*b + 4*b**2 - 6*b.
4*b*(b + 14)
Factor 3*l**2 + 1/3*l - 3 - 1/3*l**3.
-(l - 9)*(l - 1)*(l + 1)/3
Let x(n) be the third derivative of -n**9/15120 - n**8/840 - 13*n**7/2520 - n**6/120 + n**4/8 + 23*n**2. Let m(j) be the second derivative of x(j). Factor m(i).
-i*(i + 1)**2*(i + 6)
Suppose -s - 35 = 5*i - 11, -3*i = 3*s + 12. Let r(k) = 1. Let p(b) = -4*b**2 + 8*b. Let w(u) = s*p(u) - 4*r(u). Suppose w(m) = 0. What is m?
1
Let a be 147/(-4) - (-3 + 26/8). Let w = 39 + a. Factor 2/5*j**w + 0 - 2/5*j.
2*j*(j - 1)/5
Let i = 7 - 1. Let l be (1 - -2) + 3/(-3). What is r in 4 - 45*r + 5*r**l + i*r**3 + 31*r - r**2 = 0?
-2, 1/3, 1
Let d(y) be the first derivative of y**3 - 51*y**2/2 - 306. Factor d(r).
3*r*(r - 17)
Let p be 1 + (-1 - 6/(-14)). Suppose 114*t - 15*t = 297. Factor -3/7*r**t + 3/7*r - p*r**2 + 3/7.
-3*(r - 1)*(r + 1)**2/7
Suppose f + 13 = -5*m, m + 11 = -0*f + 4*f. Let q = 1 - -1. Factor -10*o - 24*o**3 - 16*o**4 - 4*o**3 - 28*o**f + q*o + 8*o**4.
-4*o*(o + 1)*(o + 2)*(2*o + 1)
Let m(u) be the first derivative of -4*u**5/5 + 39*u**4 - 152*u**3/3 + 680. Find b, given that m(b) = 0.
0, 1, 38
Let c be 525/50 - (11 + -1). Let h(w) be the second derivative of -1/2*w**4 + 0 + w + 0*w**2 - c*w**3. Suppose h(f) = 0. Calculate f.
-1/2, 0
Let f(q) be the first derivative of -q**7/350 - q**6/200 + q**5/50 - 49*q**2/2 + 33. Let c(l) be the second derivative of f(l). Let c(o) = 0. Calculate o.
-2, 0, 1
Let r be (-8541)/(-8190) - (-1)/10. Factor -4/7*s**3 + 4/7*s + r - 8/7*s**2.
-4*(s - 1)*(s + 1)*(s + 2)/7
Let c(h) be the third derivative of h**5/30 + 17*h**4/6 + 289*h**3/3 + 5*h**2 + 2. Solve c(q) = 0 for q.
-17
Let r(q) be the first derivative of -1/4*q**4 - q**3 + 2*q + 1/2*q**2 + 9 + 1/5*q**5. Factor r(l).
(l - 2)*(l - 1)*(l + 1)**2
Let w(q) = q - 5. Let s be w(10). Suppose 35 + 12 = s*z - 2*y, 2*y - 34 = -4*z. Determine o, given that z + 2*o**2 - 9*o - 3 + 17*o = 0.
-3, -1
Let k = -3/371 - -395/2968. Let w(x) be the third derivative of 1/12*x**5 + 0*x - 1/3*x**3 - k*x**4 + 3*x**2 + 0. Determine n so that w(n) = 0.
-2/5, 1
Suppose -48 = 2*j - 5*j. Factor -3*q**4 - 8 - 48*q**2 + q**4 - 24 - 64*q - j*q**3.
-2*(q + 2)**4
Factor -1/4*u**3 + 15/2*u - 13/4*u**2 + 0.
-u*(u - 2)*(u + 15)/4
Let r(n) be the third derivative of -3*n**6/140 - 16*n**5/35 - 61*n**4/84 - 10*n**3/21 + 33*n**2 + 4*n. Factor r(l).
-2*(l + 10)*(3*l + 1)**2/7
Let w(y) be the second derivative of -1/36*y**4 + 2/9*y**3 + 0*y**2 - 5*y + 0. What is d in w(d) = 0?
0, 4
Let k(y) = -77*y**2 - 388*y - 501. Let t(c) = 309*c**2 + 1551*c + 2001. Let d(v) = 9*k(v) + 2*t(v). Determine h so that d(h) = 0.
-13/5
Let i be (-3)/(-1) - 0/243. Factor 22/9*r**i + 0 + 14/9*r**5 - 4/9*r**2 - 32/9*r**4 + 0*r.
2*r**2*(r - 1)**2*(7*r - 2)/9
Factor 2*p**4 + 22*p**3 + 52*p - 2*p**5 + 6*p**2 - 16 - 49*p**2 - 15*p**2.
-2*(p - 2)*(p - 1)**3*(p + 4)
Let m = -504/5 + 1517/15. Suppose -o**2 + 0*o + m*o**3 + 4/3 = 0. What is o?
-1, 2
Let c = -13 + 13. Let s(w) be the second derivative of 0*w**3 + 0*w**2 - 1/10*w**6 + 0*w**5 - w + c + 1/4*w**4. Determine z, given that s(z) = 0.
-1, 0, 1
Let t = 1063/6 + -177. Let l(f) be the first derivative of -2 + 15/2*f**5 - 125/12*f**6 + 0*f + t*f**3 - 15/8*f**4 + 0*f**2. Factor l(q).
-q**2*(5*q - 1)**3/2
Let r be 1 + 8/(-9) - 1/9. Factor r*d + 0 - 6/5*d**2 + 3/5*d**4 + 3/5*d**3.
3*d**2*(d - 1)*(d + 2)/5
Suppose 15*n = 19 + 26. Find y, given that 5/2*y**2 + 0 + 1/2*y**n + 2*y = 0.
-4, -1, 0
Let p(w) = -w**3 + 10*w**2 - 10*w - 6. Let m be p(8). Find h, given that -45*h**4 + 0 - 30*h**2 - 18*h**3 + 0 - 12*h**5 + 3 - m*h**3 = 0.
-1, 1/4
Let n(q) = -15*q**3 + 32*q**2 + 12*q. Let i(s) = -76*s**3 + 160*s**2 + 60*s. Let c be ((-6)/(-8))/(1 - 6/8). Let m(f) = c*i(f) - 16*n(f). Factor m(r).
4*r*(r - 3)*(3*r + 1)
What is r in 20*r**4 + 293*r**3 - 452*r**3 - 24*r - 44*r**5 - 20*r**2 + 227*r**3 = 0?
-1, -6/11, 0, 1
Let j = -15 - -17. Find d, given that -3*d**j + 1918 - 1918 - 12*d = 0.
-4, 0
Let r(t) be the second derivative of -t**5/60 + t**4/8 - t**3/3 - 3*t**2 + 7*t. Let q(f) be the first derivative of r(f). Factor q(v).
-(v - 2)*(v - 1)
Let w be ((-4)/(-5))/(-4*10/500). Let r be (-7)/((-35)/w) - (-6 - -2). Let 2/5*t**r - 2/5 - 2/5*t**3 + 2/5*t = 0. What is t?
-1, 1
Let k(l) be the third derivative of 2*l**7/35 + 7*l**6/60 - 2*l**5/15 - 5*l**4/12 - 547*l**2. Factor k(t).
2*t*(t + 1)**2*(6*t - 5)
Factor 11*l + 3*l**4 - 6*l - 108 + 105*l**2 - 41*l + 4*l**3 + 32*l**3.
3*(l - 1)*(l + 1)*(l + 6)**2
What is k in 0*k + 25/2*k**3 + 0*k**2 - 5/2*k**5 - 10*k**4 + 0 = 0?
-5, 0, 1
Let w(x) be the first derivative of -x**5/20 - x**4/16 + x**3/3 + x**2/2 - 44. What is n in w(n) = 0?
-2, -1, 0, 2
Let m = -377/6 + 64. Let s(g) be the first derivative of 0*g - 1/2*g**2 - 1/4*g**4 + 3/10*g**5 + 2 - m*g**3. Factor s(k).
k*(k - 2)*(k + 1)*(3*k + 1)/2
Let l(q) be the first derivative of q**5/60 - 3*q**3/2 + 17*q**2/2 + 3. Let d(g) be the second derivative of l(g). Factor d(c).
(c - 3)*(c + 3)
Let 32/3*a**3 - 40*a**2 + 128/3*a - 44/3 + 4/3*a**4 = 0. What is a?
-11, 1
Let y(x) be the first derivative of 5*x**3/3 - 45*x**2 + 325*x - 865. What is r in y(r) = 0?
5, 13
Let z = 375637/13 - 28895. Factor 0 + 16/13*t + z*t**2.
2*t*(t + 8)/13
Suppose 0 = -718*h + 733*h. What is d in h - 1/3*d**2 - d = 0?
-3, 0
Let p(d) be the second derivative of d**6/10 + 2*d**5/5 + d**4/2 - d**2/2 - 54*d. Find h, given that p(h) = 0.
-1, 1/3
Let w = -62 + 90. Let b = -1 + 4. Factor -11*i**b - 4 - w*i**2 + 4*i**3 - 20*i - 5*i**3.
-4*(i + 1)**2*(3*i + 1)
Let m(o) = -4*o**4 + 34*o**3 + 122*o**2 + 130*o + 42. Let l(f) = -8*f**4 + 69*f**3 + 245*f**2 + 261*f + 83. Let v(b) = 2*l(b) - 5*m(b). Factor v(g).
4*(g - 11)*(g + 1)**3
Let z = 392 - 387. Let l(d) be the second derivative of 3/100*d**5 - 1/10*d**3 + 0 - 1/50*d**6 + 1/20*d**4 - z*d + 0*d**2. Factor l(r).
-3*r*(r - 1)**2*(r + 1)/5
Let n = -2479 + 2483. Factor 0 + 0*q - 3/5*q**3 + 1/5*q**n + 2/5*q**2.
q**2*(q - 2)*(q - 1)/5
Let w(n) be the second derivative of n**5/5 + 32*n**4/3 - 2*n + 3. Factor w(l).
4*l**2*(l + 32)
Let d(h) = 47*h**4 + 225*h**3 - 1586*h**2 + 2320*h - 1061. Let u(i) = -9*i**4 - 45*i**3 + 317*i**2 - 465*i + 212. Let o(p) = 2*d(p) + 11*u(p). Factor o(t).
-5*(t - 3)*(t - 1)**2*(t + 14)
Suppose -4*z - 3*q = 0, 2*q = -5*z + q + 11. Solve 39*c**2 - 17*c**4 - 21*c - 15*c**z + 1 - 12*c**2 + 5 + 20*c**4 = 0 for c.
1, 2
Suppose -3*h + 0*h = 3*j - 27, -5*j - 55 = -5*h. Let g be ((-4)/10 - (-22)/5)/h. Factor g*d**2 + 0 + 0*d.
2*d**2/5
Let h(v) be the first derivative of -1/5*v + 1/15*v**3 + 0*v**2 - 8. Factor h(c).
(c - 1)*(c + 1)/5
Let v(h) be the first derivative of -h**5/240 + h**4/48 - 7*h**2/2 + 19. Let b(z) be the second derivative of v(z). Let b(w) = 0. What is w?
0, 2
Let p(i) be the second derivative of -i**6/90 - i**5/30 + 13*i**4/36 - 5*i**3/9 - 162*i. Factor p(q).
-q*(q - 2)*(q - 1)*(q + 5)/3
Let o(p) = -1 - p**3 + 4*p - 4 + 3*p**2 + 6. Let w be o(3). Factor d + 3*d**2 + 8 + d**2 + 0*d**2 - w*d.
4*(d - 2)*(d - 1)
Let -91*f**2 + f**5 + 74*f**3 - 15*f**4 + 175*f - 73*f**2 - 7*f - 64 = 0. Calculate f.
1, 2, 8
Factor 9*k**3 + 10*k + 0*k**3 + 43 + 627*k + 63 + 960*k**2.
(k + 106)*(3*k + 1)**2
Let y(c) be the second derivative of c**4/12 + 17*c**3/6 + 21*c**2 - 463*c. Factor y(a).
(a + 3)*(a + 14)
Suppose 4*x - 6*x = -10. Factor 9*z - 3 - 4*z**2 - z**3 - 5*z + 6*z**2 - x.
-(z - 2)**2*(z + 2)
Le