 + 9/2*d**2 = 0. Calculate d.
-5, -2, -1, 0
Factor 240*c**2 - 8 + 16*c + 24 - 252*c**2.
-4*(c - 2)*(3*c + 2)
Let x(r) be the second derivative of 0 + 1/4*r**3 + 1/24*r**4 + 1/2*r**2 - 4*r. Solve x(t) = 0.
-2, -1
Let 13/3*f**2 - 29/3*f**4 + 16/3 + 14*f - 13*f**3 - f**5 = 0. What is f?
-8, -1, -2/3, 1
Let u(z) = -63*z + 8508. Let r be u(135). Let -48/5*f**r - 27/5*f**5 + 15*f + 18*f**2 - 18*f**4 + 0 = 0. What is f?
-5/3, -1, 0, 1
Suppose -x - 2*k - 3 = 3, -3*x + 18 = -3*k. Determine p, given that 17 - 64*p**x + 186*p - 9 - 108 + 4*p + 6*p**3 = 0.
2/3, 5
Let r(w) be the second derivative of -20*w**2 - 39*w + 1/4*w**5 - 10/3*w**3 + 5/6*w**4 + 0. Solve r(c) = 0 for c.
-2, 2
Suppose 55 + 67 = 2*i. Suppose -i*t + 49*t = -24. What is g in -21/4*g**4 - 27/4*g**5 + 33/4*g**3 - 3/2*g + 21/4*g**t + 0 = 0?
-1, 0, 2/9, 1
Let z(n) = -14*n + 5. Let j be z(-1). Factor -j - 1 - 6*u**2 + u**2 - 5 + 30*u.
-5*(u - 5)*(u - 1)
Let k = -1/35 - -11/35. Factor -6/7*u**3 - k*u - 10/7*u**2 + 2/7.
-2*(u + 1)**2*(3*u - 1)/7
Let l be 13*-1 - (-5 + 12/3). Let d = 15 + l. Factor 0 + 2/5*n**d + 4/5*n**2 + 0*n - 6/5*n**4.
-2*n**2*(n - 1)*(3*n + 2)/5
Suppose 3*t = -4*l + 6, -4*l = -5*t + 37 + 5. Let d(n) be the first derivative of 1/5*n + 1/15*n**3 - t + 1/5*n**2. Find m, given that d(m) = 0.
-1
Let v = -2/23737 - -23749/142422. Factor 7/6*s + 1/3 + v*s**4 + 3/2*s**2 + 5/6*s**3.
(s + 1)**3*(s + 2)/6
Suppose -a = n - 18, 5*n + 78 = 4*a + 3*n. Let k = a - 17. Factor -2*j**k - 1 + 4 - j**2.
-3*(j - 1)*(j + 1)
Let u(z) be the first derivative of 12 - z + 1/18*z**4 + 2/3*z**2 + 1/3*z**3. Let k(i) be the first derivative of u(i). Find o such that k(o) = 0.
-2, -1
Let z = -3345 - -387989/116. Let w = -1/58 - z. Determine q, given that -1/4*q**3 + 0 - w*q**5 - 1/2*q**4 + 0*q + 0*q**2 = 0.
-1, 0
Suppose 12 = 4*n - 0*n. Let y(g) = -g**3 - 26*g**2 + 58*g + 75. Let d be y(-28). Factor -d*j**2 + 0*j**3 - 20*j**n + 0*j**3 - j**2 - 5*j**4.
-5*j**2*(j + 2)**2
Let l(y) = 0*y**2 - 10*y + y**2 + 2 + y**3 - 10*y**2. Let r be l(10). Factor 1/5*f**r - 8/5*f + 16/5.
(f - 4)**2/5
Let w(s) be the third derivative of s**7/315 - 13*s**6/90 + 193*s**5/90 - 26*s**4/3 + 16*s**3 - 7*s**2 + 2*s. Suppose w(q) = 0. What is q?
1, 12
What is p in 9*p**3 - 934*p - 2*p**5 + p**3 + 926*p = 0?
-2, -1, 0, 1, 2
Suppose 0 = 3*w + 2*k - 8, -3*w - k + 18 = 2*w. Suppose -2*i**5 + 9*i**4 + 2*i**2 - 35*i**w + 5*i**3 + 13*i**3 - 4*i + 12*i**5 = 0. Calculate i.
-2/5, 0, 1
Let f(v) be the third derivative of v**7/490 - v**6/24 - 31*v**5/140 - 23*v**4/56 - v**3/3 + 5*v**2 + 5. Find y such that f(y) = 0.
-1, -1/3, 14
Let a(j) be the second derivative of j**4/36 - 22*j**3/9 + 242*j**2/3 + 50*j. Factor a(q).
(q - 22)**2/3
Let x(i) be the third derivative of -i**8/84 + 4*i**7/15 - 5*i**6/6 + 4*i**5/5 - 107*i**2 - 3*i. Factor x(s).
-4*s**2*(s - 12)*(s - 1)**2
Let g be 4 + (-8)/(-12) + -4. Let z = -10 - -13. Factor 1/3 + 1/3*w**4 - g*w**2 + 0*w**z + 0*w.
(w - 1)**2*(w + 1)**2/3
Let l(h) be the first derivative of 2*h**2 + 31 - 2/5*h**5 + 8/3*h**3 + 0*h + 3/4*h**4 - 1/6*h**6. Factor l(k).
-k*(k - 2)*(k + 1)**2*(k + 2)
Let p(u) be the first derivative of u**5/10 + u**4/8 - 5*u**3/2 - 9*u**2/4 + 27*u - 36. Suppose p(t) = 0. What is t?
-3, 2, 3
Let f(g) be the first derivative of 5*g**3/3 - 25*g**2 + 125*g + 3. Suppose f(k) = 0. What is k?
5
Factor -13 - 77*y - y + 188 - 55*y - 5*y**2 - 37*y.
-5*(y - 1)*(y + 35)
Let o be (-1020)/(-1610) - 12/42. What is c in o*c**2 + 2/23 + 10/23*c = 0?
-1, -1/4
Suppose -2*g - 16 = -3*s, -s = g + 2*g + 13. Determine t so that -33*t + 18*t - 2*t**s - 18 - t**2 = 0.
-3, -2
Find q, given that -5*q + 20*q**2 + 6 + 22*q**2 - 43*q**2 = 0.
-6, 1
Let a = -2/75 - -52/75. Let w be (-10)/(-4) - (-9)/(-18). Factor -a*s**w - 2/3*s + 0.
-2*s*(s + 1)/3
Let c(d) = d**5 + d**4 - d**2. Let r(g) = -4*g**5 - g**4 - 2*g**3 - 7*g**2 + 9*g. Let f(t) = 5*c(t) + r(t). Determine i, given that f(i) = 0.
-3, 0, 1
Let o(v) be the third derivative of -v**6/96 - 5*v**5/4 + 205*v**4/32 - 155*v**3/12 - 546*v**2. Find t such that o(t) = 0.
-62, 1
Let m = -114 + -24. Let i = -136 - m. Factor i*j + 4/5 + 2/5*j**3 + 8/5*j**2.
2*(j + 1)**2*(j + 2)/5
Let w(t) be the second derivative of t**5/5 + 481*t**4/6 + 9680*t**3 + 14400*t**2 + 4*t - 127. Solve w(p) = 0 for p.
-120, -1/2
Let r = 33 - 31. Factor 7*t**3 - 4*t**3 + 15*t + 20*t**2 + r*t**3.
5*t*(t + 1)*(t + 3)
Factor -4*r**2 + r**4 - 4*r + 0*r**3 + 1/4*r**5 + 0.
r*(r - 2)*(r + 2)**3/4
Let k be (3 + 3)*2*2. Let s be (-1)/(-4) + 858/k. Factor 8*m**2 + 25*m**4 - 15 + 15 - s*m**3 - 9*m**4.
4*m**2*(m - 2)*(4*m - 1)
Suppose 35*t - 46*t = -22. Let z(c) be the first derivative of 1/9*c**6 + 3*c**t - 4/3*c - 32/9*c**3 - 6 - 4/5*c**5 + 7/3*c**4. Factor z(p).
2*(p - 2)*(p - 1)**4/3
Let v(p) be the second derivative of 3*p + 0 - 2*p**2 + 71/4*p**5 + 27/14*p**7 - 67/4*p**4 + 8*p**3 - 93/10*p**6. Suppose v(y) = 0. Calculate y.
2/9, 1
Let q(u) = -u**3 + 30*u**2 + 88*u - 764. Let o be q(32). Suppose 0*l + 0 + 0*l**2 + 2/3*l**3 + 8/9*l**o = 0. Calculate l.
-3/4, 0
Let y = -42197 - -42199. Solve -2/7*z**5 + 0*z**y + 0*z + 2/7*z**4 + 0 + 4/7*z**3 = 0.
-1, 0, 2
Let m = 1/57371 - -8376163/172113. Factor m*n**3 + 0 + 96*n - 304*n**2 - 2*n**4.
-2*n*(n - 12)**2*(3*n - 1)/3
Suppose -2*n + j = -1, -2*n = -22*j + 27*j + 5. What is r in -2/3*r**3 + 4/9*r**4 + n - 8/9*r**2 + 2/9*r**5 + 8/9*r = 0?
-2, 0, 1
Factor 165/2*l + 0 + 213/2*l**2 + 51/2*l**3 + 3/2*l**4.
3*l*(l + 1)*(l + 5)*(l + 11)/2
Let z = -661 + 661. Factor 0 + z*a**3 - 1/4*a**4 + 0*a + 1/4*a**2.
-a**2*(a - 1)*(a + 1)/4
Let o = -737 + 739. Let -16/7*a + 16/7 + 4/7*a**o = 0. What is a?
2
Let v(b) be the second derivative of b**7/42 - b**6/5 + 13*b**5/20 - b**4 + 2*b**3/3 - 11*b. Determine l so that v(l) = 0.
0, 1, 2
Let l(g) be the second derivative of -g**5/60 - g**4/6 - g**2/2 + 16*g. Let o(r) be the first derivative of l(r). Factor o(m).
-m*(m + 4)
Let v(s) be the third derivative of -s**8/672 + s**7/210 + s**6/30 + s**5/60 - 7*s**4/48 - s**3/3 + 2*s**2 + 27*s. Let v(i) = 0. What is i?
-1, 1, 4
Let i(m) be the second derivative of 19*m**4/18 + 97*m**3/9 + 10*m**2/3 - 437*m. Factor i(l).
2*(l + 5)*(19*l + 2)/3
Let g be ((-6)/(-4))/((-189)/48 + 4). Let k be (135/g)/((-3)/(-4)). Let -6*i**4 - k*i**2 + 12*i**3 + 3/2*i + 0 = 0. Calculate i.
0, 1/2, 1
Let i(z) be the third derivative of z**7/105 - z**6/20 - 4*z**5/5 + 20*z**4/3 - 155*z**2. Determine j, given that i(j) = 0.
-5, 0, 4
Suppose -3*r + 45 = -5*p + 12, 4*r - 12 = -4*p. Let t be (r/(-5))/(9/(-30)). Factor 3*l**2 - l**2 + 3*l**4 - t*l**2 - 4*l**2 + 3*l**3.
3*l**2*(l - 1)*(l + 2)
Suppose -4*q = p - 11, 0*q - 7 = p - 5*q. Find b, given that 0*b**2 - 3*b - 2*b + p*b**2 - 3 + 3*b**3 + 2*b = 0.
-1, 1
Factor -2/13*w**2 - 88/13 + 90/13*w.
-2*(w - 44)*(w - 1)/13
Find o such that 1 + 12*o**2 - 1 - 6*o - 2*o**5 - 10*o**2 + 8*o**3 + 4 - 6*o**2 = 0.
-2, -1, 1
Let m(h) = 2*h**2 + 8*h - 6. Let x be m(-5). Suppose 2*p = -n + 2*n + 8, -x*p + 6 = 3*n. Factor 2*i - 2*i**2 + 2/3*i**p - 2/3.
2*(i - 1)**3/3
Suppose -4*r + 14 = 3*r. Factor 40 - 36*n - 6*n**r + 11*n**2 - 32 + 11*n**2.
4*(n - 2)*(4*n - 1)
Let i(p) be the third derivative of 7/3*p**4 - 1/15*p**5 - 98/3*p**3 - 35*p**2 + 0 + 0*p. Determine k, given that i(k) = 0.
7
What is z in 3/5*z - 2/5*z**3 - 3/5*z**4 + 1/5 - 1/5*z**5 + 2/5*z**2 = 0?
-1, 1
Let z(n) be the second derivative of -14641*n**6/120 - 25289*n**5/10 - 43681*n**4/2 - 301796*n**3/3 - 260642*n**2 - 286*n. Let z(s) = 0. What is s?
-38/11
Let g(b) = b**4 - b**2. Let d(k) = -11*k**4 - 15*k**3 + 5*k**2 + 15*k + 6. Suppose 3*t = -10 + 16. Let u(y) = t*g(y) + d(y). What is n in u(n) = 0?
-1, -2/3, 1
Let b(y) = y**3 - y - 15. Let p be b(0). Let c be 1 + (-6)/p + (-26)/(-10). Factor -2/3*k**2 + c*k - 6.
-2*(k - 3)**2/3
Suppose -3*c - 5 + 17 = 0. Let d(z) be the first derivative of 4 - 4/5*z**2 + 1/5*z**c + 0*z + 4/15*z**3. What is m in d(m) = 0?
-2, 0, 1
Let f be (-18)/135 - ((-26)/60 + 3/(-15)). Solve -5/4*s**4 + 0 + 0*s + f*s**3 + 0*s**2 + 3/4*s**5 = 0 for s.
0, 2/3, 1
Let b(l) = 93*l**2 - 84*l**2 - 21*l - 11 - 9. Let r(m) = -5*m**2 + 11*m + 10. Let i(n) = -3*b(n) - 5*r(n). Factor i(j).
-2*(j - 5)*(j + 1)
Let g(c) be the third derivative of c**8/1344 - 11*c**7/840 + c**6/20 + 3*c**5/20 + 67*c**2. Solve g(h) = 