 + o*d + 10*d + 12*d**2.
5*d*(d + 2)
Let f be 9/(-12) - (225/12)/(-5). Let h(y) be the second derivative of -1/3*y**f - 7/30*y**6 - 2*y - 11/12*y**4 + 0*y**2 - 4/5*y**5 + 0. Factor h(m).
-m*(m + 1)**2*(7*m + 2)
Suppose 12*g - 185 - 1279 = 0. Let p be 1 + 38/(-63) + g/(-427). Factor p*j**3 - 1/9*j + 0*j**2 + 0.
j*(j - 1)*(j + 1)/9
Let y be (-53)/(-11) + 20/110. Factor m - m**2 - y*m + 0*m - 4.
-(m + 2)**2
Let a(w) = -2*w - 2. Let c be a(-3). Suppose 0 = -10*g - 2 + 32. Determine f so that 7*f**2 + 4*f - 4*f + c*f - 5*f**g + 4*f - 4 = 0.
-1, 2/5, 2
Let g(j) = j**3 + j**2 - 1. Let o(n) = -2 + 26*n**5 - n + 4*n**3 - 46*n**5 + 2*n**2 + 19*n**5. Let s(p) = 2*g(p) - o(p). What is r in s(r) = 0?
-1, 0, 1
Let a(s) be the third derivative of -s**10/30240 + s**9/7560 - s**8/6720 - s**4/4 + 11*s**2. Let n(h) be the second derivative of a(h). Factor n(p).
-p**3*(p - 1)**2
Let r be (-352)/(-66)*18/24. Let x(d) be the second derivative of -1/10*d**5 + 0*d**2 + 0*d**3 + 13*d + 0 - 1/6*d**r. Factor x(m).
-2*m**2*(m + 1)
Let r be (15/6)/(-5)*-6. Suppose 8*s - 10 = r*s. Factor 6*b**3 + 4*b - 7*b**3 - 2 - 3*b + 2*b**s.
-(b - 2)*(b - 1)*(b + 1)
Let z be (-16)/(-24) + 20/6. Suppose -m = z*m - 10. Factor m*j**5 - 20*j**2 - 11*j**4 + 2*j - 7*j**3 + 27*j**3 + j**4 - 2 + 8*j.
2*(j - 1)**5
Let b(c) be the first derivative of 2*c**4 + 0*c**2 + 4/5*c**5 + 4/3*c**3 + 6 + 0*c. Factor b(p).
4*p**2*(p + 1)**2
Let x(u) be the third derivative of -u**6/150 + 8*u**5/75 - 17*u**4/30 + 4*u**3/3 - 2*u**2 + 11. Solve x(j) = 0.
1, 2, 5
Let 2*a**4 + 21*a**5 + 2*a**4 - 12*a**5 + 36*a**3 + 44*a**2 + 16*a - 13*a**5 = 0. Calculate a.
-1, 0, 4
Let d(w) be the second derivative of -29*w - 2/21*w**3 - 5/21*w**2 + 0 - 1/126*w**4. Factor d(c).
-2*(c + 1)*(c + 5)/21
Let x be 10 - 92*5/50. Factor x + 4*k**2 - 6/5*k**3 - 18/5*k.
-2*(k - 2)*(k - 1)*(3*k - 1)/5
Let y = 66 - 64. Let k be 418/7 + 4/14. Factor k*z + 2 - 52*z**2 - 8 - y.
-4*(z - 1)*(13*z - 2)
Let o be 32/4 + (1 - (-1 - -7)). Let y(w) be the second derivative of -1/12*w**4 + w - 4/3*w**o + 0 - 8*w**2. Solve y(a) = 0.
-4
Factor -16*f + 63*f**3 - 59 - 64*f**3 + 71 + 7*f**2.
-(f - 3)*(f - 2)**2
Suppose -m = -7 + 5. Suppose -5*d**2 - 3*d**2 + 2*d**m + 16*d - 16 + 2*d**2 = 0. Calculate d.
2
Let h(z) be the first derivative of -10 - 4/27*z**3 + 1/9*z - 1/18*z**2 + 1/9*z**4. Factor h(g).
(g - 1)*(2*g - 1)*(2*g + 1)/9
Suppose -18*a + 10*a = 31*a. Let f(w) be the first derivative of -5 - 1/5*w**3 + a*w**2 + 3/5*w. Let f(k) = 0. What is k?
-1, 1
Let s(y) = -5*y**3 - 5*y + 9*y**3 - 8*y**3 - 4 + 9 + 2*y**2. Let p(h) = -h**3 + h**2 - h + 1. Let n(r) = -10*p(r) + 2*s(r). Solve n(v) = 0.
0, 3
Let f(r) be the second derivative of -r**4/78 - 3*r**3/13 + 10*r**2/13 + 2*r - 86. Determine a so that f(a) = 0.
-10, 1
Solve 11*j**3 - 20*j**3 + 4*j + 8 - 6*j**2 + 4*j**3 - j**4 = 0.
-2, 1
Let d = 160 + -290. Let f = d + 133. Factor -1/3*o**4 - 16/3*o - 8/3*o**f - 6*o**2 - 5/3.
-(o + 1)**3*(o + 5)/3
Let w(i) be the second derivative of 243/16*i**2 + 9/8*i**3 + 1/32*i**4 + 29*i + 0. Factor w(q).
3*(q + 9)**2/8
Let s be 8/(-6) + 95/60. Let o(g) be the first derivative of -2/7*g - 16/21*g**3 + 11/14*g**2 + 5 + s*g**4. Find i, given that o(i) = 0.
2/7, 1
Suppose 22 - 24 = -2*o. Let u(z) = -z**2 - z + 1. Let a(j) = 6*j**2 + j - 10. Let v(m) = o*a(m) + 5*u(m). Factor v(n).
(n - 5)*(n + 1)
Suppose -5*m = 2 + 3, -5*m = -4*c + 25. Solve -9*d**5 - c*d**3 + 13*d**5 + 4*d - 3*d**3 = 0 for d.
-1, 0, 1
Let r(q) be the second derivative of -9/20*q**5 + 1/2*q**4 - 1 - 7*q - 1/6*q**3 + 0*q**2 + 2/15*q**6. Factor r(u).
u*(u - 1)**2*(4*u - 1)
What is t in -35*t + 482 - 296 - 236 - 5*t**2 = 0?
-5, -2
Suppose 0 + 0*s - 7/10*s**4 - 1/10*s**5 - s**3 + 0*s**2 = 0. Calculate s.
-5, -2, 0
Suppose -4*t - 4*t = -3*t. Let n be ((t/(-3))/(-3))/3. Solve 3/2*r + n - 3/2*r**2 = 0.
0, 1
Let o(w) = -16*w**3 - 39*w**2 - 2*w + 1. Let y(m) = -33*m**3 - 77*m**2 - 6*m + 3. Let d(x) = 7*o(x) - 4*y(x). Factor d(g).
5*(g + 1)**2*(4*g - 1)
Let w(z) = -z - 2. Let m be w(-8). Let r(p) = 4*p**4 + 8*p**3 + 10*p**2 - 6*p - 6. Let c(q) = q**4 + q**3 + q**2 - q - 1. Let g(y) = m*c(y) - r(y). Factor g(h).
2*h**2*(h - 2)*(h + 1)
Solve -1 + 3*n - 73*n - 4*n**2 - 47 + 2*n**3 + 2*n - 14*n**2 = 0.
-2, -1, 12
Let z(t) be the first derivative of 1/20*t**5 + 1/2*t - 7/8*t**2 - 5/16*t**4 + 3/4*t**3 - 18. Find y such that z(y) = 0.
1, 2
Let t be 749275/40800 - 1/32. Factor -5/3*n**2 + t - 50/3*n.
-5*(n - 1)*(n + 11)/3
Let o(l) = 4*l**2 - 304*l - 5764. Let y(z) = 10*z**2 - 608*z - 11525. Let h(n) = -9*o(n) + 4*y(n). Factor h(i).
4*(i + 38)**2
Let m be (3*4)/(-2) - (-4320)/648. Factor -4/3*h**4 - m*h + 0 - 8/3*h**2 - 10/3*h**3.
-2*h*(h + 1)**2*(2*h + 1)/3
Suppose 63 = -11*l + 492. Let w = -37 + l. Determine v, given that 0 - 4/9*v**3 - 2/9*v**4 + 4/9*v + 2/9*v**w = 0.
-2, -1, 0, 1
Solve 9 - 3/2*y**2 - 25/2*y = 0.
-9, 2/3
Let x(l) be the first derivative of -4*l**3/3 - 56*l**2 + 113. Factor x(u).
-4*u*(u + 28)
Factor 16/7 - 8/7*h**3 + 50/7*h - 58/7*h**2.
-2*(h - 1)*(h + 8)*(4*h + 1)/7
Determine t so that -25*t**3 - 30*t**4 - 63*t**3 + 12*t**2 + 130*t**3 - 31*t**3 - 4*t - 25*t**5 = 0.
-1, 0, 2/5
Let l = 421/78610 + -2/3369. Let q(x) be the third derivative of l*x**5 + 0*x - 1/42*x**4 + 0 + 6*x**2 + 0*x**3. Factor q(n).
2*n*(n - 2)/7
Solve -12*o**3 - 43*o**2 + 75*o**2 - 21*o**2 + o = 0 for o.
-1/12, 0, 1
Let p(v) = 3. Let y(d) = -d**2 - 36*d + 58. Let a(f) = -21*p(f) + 3*y(f). Solve a(s) = 0 for s.
-37, 1
Let g be (1/4)/((-490)/357). Let q = 1/56 - g. What is p in 0*p - 1/5*p**4 + q*p**2 - 1/5*p**3 + 1/5*p**5 + 0 = 0?
-1, 0, 1
Suppose 9*m = 6*m - 108. Let w be (1*2/(-24))/(9/m). Factor -w*o**2 - 2/3*o - 1/3.
-(o + 1)**2/3
Suppose -4*h - 7 = -15. Let a be 1 - 0 - (-6 + 4). Factor -2*p**3 - h*p**2 - a*p + 1 + 5*p + 4*p**2 - 3.
-2*(p - 1)**2*(p + 1)
Let b be (-30)/135 - (-4)/18. Determine a so that 7 - 3*a - 4*a**2 + a**2 + b*a - 1 = 0.
-2, 1
Determine s so that -1934*s**4 - 1934*s**4 + 20*s**2 + 5*s**5 + 3853*s**4 = 0.
-1, 0, 2
Let q(g) be the third derivative of g**8/168 + 8*g**7/105 + 3*g**6/10 + 8*g**5/15 + 5*g**4/12 + 112*g**2. Suppose q(f) = 0. Calculate f.
-5, -1, 0
Let i = 56 - 54. Suppose 9*h**5 + 7*h**2 - 4*h**i + 27*h**3 + h**2 + 2*h**2 + 30*h**4 = 0. What is h?
-2, -1, -1/3, 0
Let a(l) be the third derivative of l**7/1400 + l**6/200 + 3*l**5/200 + l**4/40 - 11*l**3/6 - 5*l**2. Let i(q) be the first derivative of a(q). Factor i(r).
3*(r + 1)**3/5
Let u be (-324)/108 + 6 + 0. Let y be (64/(-36))/2 + 1. Factor -y + 1/9*p**2 + 1/9*p**u - 1/9*p.
(p - 1)*(p + 1)**2/9
Let s(o) be the first derivative of o**5/120 + o**4/12 - 5*o**3/12 - 23*o**2 + 18. Let r(a) be the second derivative of s(a). Let r(h) = 0. What is h?
-5, 1
Determine f, given that -35 + 98*f - 65 - 8*f**3 - 45*f**2 + 3*f**3 - 218*f = 0.
-5, -2
Let h be 1/5 - (-18)/10. Determine g so that -15/4*g**4 + 19/4*g**h + 3*g - 2*g**3 - g**5 - 1 = 0.
-2, -1, 1/4, 1
Let q(z) be the first derivative of -6*z + 18 + 1/2*z**4 + 2*z**3 - z**2. Find t such that q(t) = 0.
-3, -1, 1
Let i be (-1)/(-4) + 210/(-840). Suppose -2/3*c**2 + i - 1/3*c**3 - 1/3*c = 0. Calculate c.
-1, 0
Suppose -t + c - 41 = -4*t, 0 = -2*t - c + 26. Let n**4 + 2*n**4 - 24 - 1233*n + 1221*n + 18*n**2 + t*n**3 = 0. Calculate n.
-2, 1
Let u(c) = -1. Let v(a) = -a - 5. Let p(j) = -4*u(j) + v(j). Let t be p(-4). Factor -4*b**5 - b**2 + b**5 + 0*b**5 - t*b**4 + 4*b**2 + 3*b**3.
-3*b**2*(b - 1)*(b + 1)**2
Let r(q) be the second derivative of -11*q**5/20 + 7*q**4/3 - 23*q**3/6 + 3*q**2 - 20*q + 1. Find s, given that r(s) = 0.
6/11, 1
Let g = 12 - 6. Suppose g*a = 18 - 0. Factor -a*w**2 + 5 - 8*w - 5 + w**2.
-2*w*(w + 4)
Let s(b) be the second derivative of -b**6/30 + b**5/20 + b**4/12 - b**3/6 + 205*b. Factor s(y).
-y*(y - 1)**2*(y + 1)
Let s(f) = 5*f**4 + 59*f**3 - 3*f**2 - 6*f - 3. Let a(d) = 24*d**4 + 294*d**3 - 14*d**2 - 28*d - 14. Let u(i) = -3*a(i) + 14*s(i). Factor u(b).
-2*b**3*(b + 28)
Suppose 16*g + 105 = 201 - 48. Factor -1/2*h**2 + 1/2*h**g - h + 0.
h*(h - 2)*(h + 1)/2
Let f be 0 - 2 - (8 + -20). Let d be (15/f)/((-2)/(-4)). Factor 0 + 3*i**2 - 6*i + d*i**3 + 0.
3*i*(i - 1)*(i + 2)
Let q(l) be the third derivative of -l**6/24 + 2*l**5 - 30*l**4 - 86*l**2. Factor q(t).
-5*t*(t - 12)**2
Let d be 1