0. What is d?
-1, 3, 10
Suppose 5*k = 287 + 228. Let m = k - 305/3. Determine r so that -10/3*r**4 + 2*r**5 + 10/3*r**2 + 0 - m*r - 2/3*r**3 = 0.
-1, 0, 2/3, 1
Let g be ((42/(-3))/14)/((-2)/4). Suppose -l**2 - g + 7/2*l - 1/2*l**3 = 0. Calculate l.
-4, 1
Let o = -828 - -832. Let x(g) be the second derivative of -5/108*g**o + 0 - g + 1/18*g**3 + 1/9*g**2. Factor x(h).
-(h - 1)*(5*h + 2)/9
Suppose u = 90 - 89. Let s be (-36)/(-24)*u/(6/2). What is r in -3/2*r - s - 1/2*r**3 - 3/2*r**2 = 0?
-1
Let c(n) be the second derivative of n**6/40 - 3*n**5/16 + 3*n**4/16 + 9*n**3/8 + n - 10. Factor c(x).
3*x*(x - 3)**2*(x + 1)/4
Suppose -3*i + 3*t - 149 = -131, t - 6 = 2*i. Find d, given that 0*d**3 - 3/2*d**5 + 0*d + 0*d**2 + i + 9/2*d**4 = 0.
0, 3
Let t(f) = f**2 - f - 5. Let r be t(5). Suppose 0 = 3*o + 2*o - r. Determine d, given that -3*d**3 + 11*d**4 + 4*d**2 - 15*d**3 + 40*d**5 + 3*d**4 - 4*d**o = 0.
-1, 0, 1/4, 2/5
Let q be 675 - (-3 - (1 - 4)). Let t = 1377/2 - q. Determine g, given that 5*g**3 + 1/2*g**4 + t + 27*g + 18*g**2 = 0.
-3, -1
Let m(c) be the second derivative of 3*c**5/80 + 5*c**4/16 + c**3/2 + 2*c + 80. Find n such that m(n) = 0.
-4, -1, 0
Let s be (-1)/(-6) + (-29 - 2184/(-72)). Factor 1/2*j**3 - s*j**2 + 0*j + 2.
(j - 2)**2*(j + 1)/2
Let t(b) be the second derivative of 0 - 28/5*b**3 - 4/5*b**2 + 22*b - 147/10*b**4. Factor t(d).
-2*(21*d + 2)**2/5
Let x be (5 - 34/8) + (-15)/(-4). Find v such that -x*v**3 - 1/2*v**2 + 10/3*v - 2/3 = 0.
-1, 2/9, 2/3
Let t(k) = 12*k**3 - 311*k**2 - 588*k - 293. Let c(h) = 13*h**3 - 314*h**2 - 587*h - 292. Let f(w) = -7*c(w) + 8*t(w). Factor f(j).
5*(j - 60)*(j + 1)**2
Let f(v) = v**2 + 2*v + 1. Let l be f(-3). Let s(o) be the first derivative of 0*o + 2/9*o**3 - 1/6*o**2 - 1/12*o**l - 5. Determine n so that s(n) = 0.
0, 1
Let t(y) be the first derivative of -y**9/2016 + y**8/336 - y**7/168 + y**5/48 - y**4/24 + 2*y**3/3 + 9. Let k(f) be the third derivative of t(f). Factor k(l).
-(l - 1)**4*(3*l + 2)/2
Let s be ((-3)/4)/(60/(-160)). Factor -4/7 + 4/7*n**s + 0*n.
4*(n - 1)*(n + 1)/7
Suppose 53*g - 57*g = -12. Determine v, given that -100*v**g - 5*v**4 - 500*v**2 + 683 - 683 = 0.
-10, 0
Let w = -52 - -55. Factor 0*q**2 + q**5 + 4*q**3 - 3*q - 2*q**5 - 2*q**2 + w*q**4 - q**4.
-q*(q - 3)*(q - 1)*(q + 1)**2
Let b be (-6)/21 - (-1180)/210. Let c(h) be the first derivative of 0*h**2 + b*h**3 + 4/5*h**5 + 4*h**4 + 0*h + 3. Solve c(p) = 0 for p.
-2, 0
Let x be -3 + 5 + 6 + -3. Let z(u) = 15*u**2 - 6. Let k(o) = 8*o**2 - 3. Let y(g) = x*z(g) - 9*k(g). Find a, given that y(a) = 0.
-1, 1
Let z(a) be the second derivative of 0*a**2 + 3/20*a**5 - 11*a + 0 - 1/2*a**3 - 1/10*a**6 + 1/4*a**4. Factor z(u).
-3*u*(u - 1)**2*(u + 1)
Solve -16*b - 3*b**2 + 4*b**3 + 8 - 16 + 5*b**2 = 0 for b.
-2, -1/2, 2
Let i(k) be the second derivative of -k**5/50 - 14*k**4/5 - 784*k**3/5 - 21952*k**2/5 + 266*k. What is w in i(w) = 0?
-28
Suppose -8*n - 18 = 38. Let g be (88/n)/(-8) + -1. Factor 20/7*w**2 + 16/7*w - g.
4*(w + 1)*(5*w - 1)/7
Solve -39/2*w**2 + 615/8*w**4 + 0*w + 0 - 3/2*w**5 + 471/8*w**3 = 0.
-1, 0, 1/4, 52
Factor -2/9*y**2 + 440/9*y - 24200/9.
-2*(y - 110)**2/9
Let q(z) be the first derivative of -4*z**3 + 9*z**2 - 27*z/4 - 9. Find t such that q(t) = 0.
3/4
Suppose -10*o + 5*o + g = 599, -3*g - 363 = 3*o. Let m be (-12)/(-2) - (-576)/o. What is w in 3/5*w + 3/5*w**4 - m*w**3 + 3/5*w**5 + 3/5 - 6/5*w**2 = 0?
-1, 1
Let v = 40748/5 + -8148. Factor -8/5*y**3 + 2/5*y**4 + 8/5*y + 6/5*y**2 - v.
2*(y - 2)**2*(y - 1)*(y + 1)/5
Let d be (22/(-10) + 2)*(-360)/252. Factor d*x + 0 + 2/7*x**2.
2*x*(x + 1)/7
Let q(i) be the first derivative of -15/4*i**4 + 2*i**3 + 0*i**2 + 0*i + 26 + 6/5*i**5. Suppose q(t) = 0. What is t?
0, 1/2, 2
Let t(z) be the third derivative of z**5/60 + 5*z**4/3 + 200*z**3/3 + 182*z**2. Factor t(c).
(c + 20)**2
Let u(l) be the third derivative of -l**6/30 - l**5/12 + 7*l**4/24 + l**3/3 - 6*l**2. Factor u(g).
-(g - 1)*(g + 2)*(4*g + 1)
Let n(i) be the second derivative of -i + 0*i**2 + 0*i**3 + 1/14*i**4 - 3/140*i**5 + 0. Factor n(u).
-3*u**2*(u - 2)/7
Let -203*y - 220*y + 3164*y**2 - 1580*y**2 - 1581*y**2 = 0. What is y?
0, 141
Suppose -5*a + 3*n + 83 = 14, 4*a - 60 = 4*n. Suppose 2*q = 4*q + 3*r + 4, 5*q = -2*r + a. Factor -2/9*p**q + 4/9*p**3 + 0*p**2 - 4/9*p + 2/9.
-2*(p - 1)**3*(p + 1)/9
Let z(j) be the third derivative of -j**8/960 - j**7/210 - 11*j**6/1440 - j**5/240 - 5*j**3/3 + 13*j**2. Let p(h) be the first derivative of z(h). Factor p(i).
-i*(i + 1)**2*(7*i + 2)/4
Let -2*k - 3 - 1/4*k**2 = 0. Calculate k.
-6, -2
Let w(m) be the second derivative of -5*m**7/21 - 31*m**6/105 + 43*m**5/70 + 5*m**4/6 - 8*m**3/21 - 4*m**2/7 + 26*m. Solve w(o) = 0 for o.
-1, -2/7, 2/5, 1
Suppose -21*h**3 - 960*h + 11*h**3 - 1600 - 84*h**2 + 8*h**3 = 0. What is h?
-20, -2
Let a(y) be the second derivative of 11*y + 5/12*y**4 - 35/6*y**3 + 0*y**2 + 0. Determine q so that a(q) = 0.
0, 7
Let v(o) = 22*o**3 + 72*o**2 + 141*o + 73. Let k(g) = -5*g**3 - 18*g**2 - 35*g - 18. Let i(c) = -18*k(c) - 4*v(c). Factor i(s).
2*(s + 1)**2*(s + 16)
Let l(z) be the third derivative of -z**10/10080 - z**9/2520 - z**8/2240 - 7*z**4/24 - 17*z**2. Let g(o) be the second derivative of l(o). Factor g(j).
-3*j**3*(j + 1)**2
Let w = 91 + -89. Factor 138 + 23*v + 37*v - 3*v**w - 438.
-3*(v - 10)**2
Let w = 57 - 43. Let k be (-4)/((-1)/1) + 0. Factor -38*l**3 - 6*l**5 - w*l**k - l - 50*l**2 + 4*l**5 - 8 - 31*l.
-2*(l + 1)**3*(l + 2)**2
Let p(w) = -4*w**4 - 2*w**3 + 10*w**2 - 10*w + 6. Let y(d) = -d**4 + d**3 + d - 1. Let t(o) = -p(o) - 6*y(o). Determine m, given that t(m) = 0.
-1, 0, 2/5, 1
Let x(j) = -j**5 - j**3 + j**2 + 2*j - 1. Let d(h) = -3*h**4 - 12*h**3 + 6*h**2 + 12*h - 3. Let m(l) = -d(l) + 3*x(l). Solve m(n) = 0 for n.
-1, 0, 1, 2
Let l = 350841 + -145598937/415. Let w = l + 1/83. Find x, given that 3/5*x**4 + 0 + 0*x + w*x**2 + 3/5*x**3 + 1/5*x**5 = 0.
-1, 0
Let i(v) be the first derivative of 9*v**4 + 20*v**3/7 - 22*v**2/7 - 12*v/7 - 51. Factor i(j).
4*(3*j + 1)**2*(7*j - 3)/7
Let x = 28 - 29. Let a(f) = -9*f**2 + 11*f. Let m(o) = -o**2 + o + 1. Let v(p) = x*a(p) + 2*m(p). Find d such that v(d) = 0.
2/7, 1
Let u(m) be the second derivative of m**5/90 - 11*m**4/54 + 8*m**3/9 + 4*m**2 - 483*m. Determine n, given that u(n) = 0.
-1, 6
Let y be (120/216)/(35/42). What is w in -y*w**3 - 2/9*w**4 + 2/9*w**5 + 0 - 4/9*w + 10/9*w**2 = 0?
-2, 0, 1
Factor 0 - 3/4*u**4 - 36*u + 0*u**3 + 21*u**2.
-3*u*(u - 4)*(u - 2)*(u + 6)/4
Suppose 28*r - 50408*r**2 + 50388*r**2 + 35 + 107*r = 0. What is r?
-1/4, 7
Let i be (108/21)/((-6)/(-28)). Let z = i + -18. Factor -2*j**4 + 0*j - z*j**5 - j**4 + 0*j.
-3*j**4*(2*j + 1)
Let r = -239 + 239. Let b(h) be the first derivative of r*h + 8/21*h**3 + 2/7*h**4 - 10/3*h**6 - 86/35*h**5 - 3 + 0*h**2. Find j such that b(j) = 0.
-1/2, -2/5, 0, 2/7
Let c = 3596 - 3594. Let 1/4*n**5 + 3/4*n**4 + n - 5/4*n**3 + 0 - 3/4*n**c = 0. What is n?
-4, -1, 0, 1
What is s in -963*s + 274*s + s**2 + 441*s - 5*s**2 = 0?
-62, 0
Let x = -832 + 834. Factor 0 + 8/9*y**3 + 0*y - 2/9*y**x.
2*y**2*(4*y - 1)/9
Let j = 21870269/225 + -97201. Let k = j + 2/75. Factor 2/9*o**2 + 0 - 4/9*o**3 + 4/9*o - k*o**4.
-2*o*(o - 1)*(o + 1)*(o + 2)/9
Suppose 5*z + 78 = -2. Let o be 2/8*(-8 - z). Determine y so that 8/7*y**4 + 8/7*y**o - 12/7*y**3 - 2/7*y**5 - 2/7*y + 0 = 0.
0, 1
Let y be (-1)/8 - (-340)/160. Let w(g) be the third derivative of 7/8*g**4 + 0*g + 1/5*g**5 - 5*g**y + 3/2*g**3 + 0. Factor w(x).
3*(x + 1)*(4*x + 3)
Let m(o) be the second derivative of 2/3*o**3 + 11*o + 0*o**2 + 1/3*o**4 + 0. Factor m(h).
4*h*(h + 1)
Let g(u) be the first derivative of -u**6/6 - 19*u**5/5 - 57*u**4/2 - 224*u**3/3 - 64*u**2 - 219. Find l such that g(l) = 0.
-8, -2, -1, 0
Let i(y) = 63*y**2 - 1026*y - 110. Let c(j) = 3*j**2 - 3*j - 1. Let a(p) = -2*c(p) + i(p). Find h, given that a(h) = 0.
-2/19, 18
Let q(h) be the third derivative of -h**7/315 - 19*h**6/180 - 56*h**5/45 - 16*h**4/3 - 67*h**2. Factor q(z).
-2*z*(z + 3)*(z + 8)**2/3
Let z = 15 - 16. Let y be (1 - z) + (-6)/(-2). Let 22*g**2 - 30*g**2 - 4*g + 0*g - g**4 - y*g**3 = 0. What is g?
-2, -1, 0
Let l = -16889/5 - -3378. Factor 0 - 1/5*o**4 - l*o + 1/5*o**3 + 1/5*o**2.
-o*(o - 1)**2*(o + 1)/5
Let d be (-231)/