15621185 + 1070122809 + 3261636*v - 103*v**3 + 332*v**3 + 5418*v**2 - 115*v**3 - 111*v**3.
3*(v + 602)**3
Factor 87*v**3 - 183*v**2 + 15*v**2 - 4194 + 2101 + 2075 - 273*v.
3*(v - 3)*(v + 1)*(29*v + 2)
Suppose -2*d = 3*h - 27, -2*d + 0*d - 4*h + 22 = 0. Suppose -3*r + 10*r = d. Find n such that -3*n**2 - 3*n**2 - 2*n**r - 4*n**3 - 4*n + 4*n**3 = 0.
-2, -1, 0
Let g(z) be the third derivative of z**5/450 + 53*z**4/180 + 8*z**3 - 222*z**2 - 15*z. Suppose g(l) = 0. What is l?
-45, -8
Determine n so that 0 - 3116/3*n**3 + 202800*n - 201760*n**2 - 4/3*n**4 = 0.
-390, 0, 1
Let a(h) be the third derivative of 1/240*h**6 - 20*h + 1/2*h**3 + 0 - 1/20*h**5 + h**2 - 1/48*h**4. Determine z, given that a(z) = 0.
-1, 1, 6
Let q be 2 + (-1 - -6) + (3 - 7). Factor 10*z + 11*z**q + 25*z**2 + 17*z**3 - 8*z**4 - 17*z**4 - 38*z**3.
-5*z*(z - 1)*(z + 1)*(5*z + 2)
Let l be (-2)/15 - 310/(-75). Factor -d**l - 8*d**4 - 136*d**2 + d**4 + 104*d**3 - 322*d**2 - 450 + 780*d.
-2*(d - 5)**2*(2*d - 3)**2
Let s(v) be the first derivative of -99*v**5/25 - 303*v**4/20 + 291*v**3/5 - 441*v**2/10 - 6*v + 1724. Find i such that s(i) = 0.
-5, -2/33, 1
Let l = -998 - -966. Let k(h) = -h**2 - 38*h - 190. Let o be k(l). Find a such that 2/15*a**o - 2/5*a + 4/15 = 0.
1, 2
Let x = -7232 + 7232. Factor 25/4*d**3 + 0*d + 15/2*d**2 + x + 5/4*d**4.
5*d**2*(d + 2)*(d + 3)/4
Find m such that -1272*m + 1/2*m**5 - 944*m**2 - 640 - 308*m**3 - 36*m**4 = 0.
-2, 80
Let w(n) = n**3 - 4*n**2 - n + 4. Let t(a) = -a**4 + 22*a**3 - 122*a**2 + 106*a + 251. Let b(u) = 2*t(u) - 4*w(u). Factor b(y).
-2*(y - 9)**2*(y - 3)*(y + 1)
Let r(b) be the first derivative of -3*b**5/10 + 21*b**4/2 - 104*b**3 + 396*b**2 - 648*b - 5136. Determine p, given that r(p) = 0.
2, 6, 18
Let n(z) = -z**2 - z - 1. Let v(q) = -2*q**4 - 2*q**3 + 18*q**2 - 18*q - 2. Let l = -97 - -99. Let t(u) = l*v(u) - 4*n(u). Solve t(a) = 0 for a.
-4, 0, 1, 2
Find f such that 374/7*f - 6/7*f**4 + 1130/7*f**3 - 214*f**2 + 0 = 0.
0, 1/3, 1, 187
Let c(a) be the first derivative of a**3 - 3/8*a**2 + 168 - 3*a + 3/16*a**4. Factor c(f).
3*(f - 1)*(f + 1)*(f + 4)/4
Suppose 0 = 452*k - 55*k - 624 - 170. Suppose 41/4*v**k - 3/4*v + 5/4*v**4 - 5/2 - 33/4*v**3 = 0. Calculate v.
-2/5, 1, 5
Let d(l) be the second derivative of -l**5/190 + 235*l**4/114 + l**3/57 - 235*l**2/19 - 2588*l. Find n such that d(n) = 0.
-1, 1, 235
Let n(v) be the third derivative of -2*v**7/105 + 9*v**5/5 - 9*v**4 - 2097*v**2. Suppose n(j) = 0. What is j?
-6, 0, 3
Let z(w) be the second derivative of 1/147*w**7 - 2*w - 1/35*w**5 - 6 + 2/7*w**4 - 4/105*w**6 + 0*w**2 + 3/7*w**3. Factor z(k).
2*k*(k - 3)**2*(k + 1)**2/7
Find i such that -15 - 8147*i**2 + 4089*i**2 - 5*i**4 + 4078*i**2 - 10*i**3 + 10*i = 0.
-3, -1, 1
Suppose 48 = 342*y - 345*y. Let k(b) = 8*b + 128. Let s be k(y). Suppose 2/7*u**2 + s*u - 8/7 = 0. What is u?
-2, 2
Let v(f) be the first derivative of 2*f**3/33 + 5*f**2/11 - 208*f/11 - 1175. Suppose v(t) = 0. What is t?
-13, 8
Suppose -3*x = 6 - 3, 10 = 3*v - x. Suppose -o - 9 = v*p, -5*p + 2 - 17 = 2*o. Solve 3/4*t**5 + o - 3/2*t + 15/4*t**2 - 3/4*t**4 - 9/4*t**3 = 0.
-2, 0, 1
Let z(p) be the first derivative of 112 - 30*p**2 - 2*p**5 - 80/3*p**3 + 175/4*p**4 - 25/6*p**6 + 0*p. Let z(m) = 0. Calculate m.
-3, -2/5, 0, 1, 2
Let m(k) be the third derivative of k**9/3024 - k**4/6 + 3*k**3/2 - 6*k**2 - 2. Let i(q) be the second derivative of m(q). Suppose i(d) = 0. Calculate d.
0
Let o(w) = 60*w**2 + 10 - w - 55*w**2 - 4. Let p(v) = 6*v**2 - v + 8. Let h(l) = -5*o(l) + 4*p(l). Factor h(n).
-(n - 2)*(n + 1)
Solve 30976 + 3*q**2 - 12*q**2 - 704*q - 14*q**2 + 27*q**2 = 0.
88
Let r(s) be the second derivative of s**4/3 - 728*s**3 - 3*s + 119. Suppose r(x) = 0. What is x?
0, 1092
Let q(o) be the second derivative of -10*o**2 + 5*o**3 + 1/8*o**5 + 0 - 5/4*o**4 + 5*o. Suppose q(i) = 0. What is i?
2
Suppose 22 = 5*i + 2. Suppose -b = -i*x + 1, -8*b + 16 = -4*b + 4*x. Solve 3/4*c**4 - 9*c**b - 81*c + 81/2*c**2 + 243/4 = 0 for c.
3
Let k(j) be the third derivative of j**6/320 + 61*j**5/80 - j**4/16 - 61*j**3/2 - 832*j**2 + 2. Factor k(g).
3*(g - 2)*(g + 2)*(g + 122)/8
Let p(s) be the first derivative of 3*s**3 - 2*s**3 - 4*s + 281 + 33*s**2 + 127*s - 3*s. Suppose p(c) = 0. Calculate c.
-20, -2
Let v(t) be the third derivative of 13*t**7/525 + 37*t**6/300 - 37*t**5/15 + 14*t**4/15 - 6*t**2 - 20*t. Solve v(z) = 0 for z.
-7, 0, 2/13, 4
Let n(a) = a**3 + 7*a**2 - 4*a - 26. Let k be n(-7). Find b, given that 126*b**2 + b + 40 + 9*b - 131*b**k = 0.
-2, 4
Let k(a) be the first derivative of -1/11*a**6 + 0*a**2 - 6/11*a**5 + 0*a - 14 - 21/22*a**4 - 6/11*a**3. Factor k(x).
-6*x**2*(x + 1)**2*(x + 3)/11
Let b(u) be the third derivative of 245*u**6/24 + 301*u**5/6 + 148*u**4/3 + 64*u**3/3 + 2726*u**2. Let b(a) = 0. What is a?
-2, -8/35
Let u(k) = 10*k**2 + 38*k + 124. Let m(q) = 8*q**2 + 38*q + 123. Let i(h) = -4*m(h) + 3*u(h). Factor i(s).
-2*(s + 4)*(s + 15)
Let l(m) be the second derivative of -m**4/4 + 39*m**3/2 - 162*m**2 + 233*m + 12. Factor l(a).
-3*(a - 36)*(a - 3)
Suppose -32*h = -1553 - 15. Let b be (14/h)/(20/14). Determine j so that 1/5*j**2 - 1/5*j**4 + b*j**3 - 1/5*j + 0 = 0.
-1, 0, 1
Suppose 3*a - u + 3 = 11, 5*a - 18 = 4*u. Factor -6*k + 7*k**4 - k**5 + 226*k**3 - 5*k**a - 2*k**4 - 219*k**3.
-k*(k - 6)*(k - 1)*(k + 1)**2
Factor -90/11*b**3 + 0 - 2/11*b**4 - 174/11*b**2 - 86/11*b.
-2*b*(b + 1)**2*(b + 43)/11
Let k(i) be the second derivative of i**7/11340 - i**6/810 + i**5/180 + 101*i**4/12 - 16*i + 4. Let q(c) be the third derivative of k(c). Factor q(a).
2*(a - 3)*(a - 1)/9
Suppose 0 = -4*i + 5*i + 5. Let h(u) = 2*u**2 + u - 6. Let q be h(i). Factor -q*g**3 + g**4 + 20*g**3 + 2*g**5 + 14*g**3 + 2*g**2.
g**2*(g - 1)*(g + 2)*(2*g - 1)
Let g be (-1456)/72 + (-2)/(-9). Let l be (-30)/g - (-42)/4. Find c, given that -4 + l - 38*c + 38*c - 6*c**2 + 2*c**3 = 0.
-1, 2
Let l = 25 - 31. Let p = l + 8. Let 11*c**5 + 9*c**5 - 5*c**4 - 40*c**3 + 10*c**p - 5 + 12*c + 8*c = 0. Calculate c.
-1, 1/4, 1
Let c(u) be the first derivative of 0*u**2 + 0*u - 212 + 2/85*u**5 + 0*u**4 + 0*u**3 + 1/51*u**6. Determine y, given that c(y) = 0.
-1, 0
Let y(u) be the second derivative of -5/12*u**4 + 35/6*u**3 - 51*u + 1/2*u**6 - 5*u**2 - 7/4*u**5 + 0. Find a, given that y(a) = 0.
-1, 1/3, 1, 2
Let j = -6801 + 3196469/470. Let w = j + 1417/3290. Factor 3/7*o**4 + w*o**3 + 0 + 0*o**2 + 0*o.
3*o**3*(o + 1)/7
Suppose 11*j + 49*j = 0. Let y(w) be the first derivative of -7 + 1/10*w**4 + j*w + 9/5*w**2 - 4/5*w**3. Find u, given that y(u) = 0.
0, 3
Factor -6030/7*a**2 + 2/7*a**3 + 4548126/7*a - 4542098/7.
2*(a - 1507)**2*(a - 1)/7
Let u = -92 + -12. Let n be ((-80)/(-24))/(u/(-195)). Factor -5/4*p**2 - n - 15/2*p.
-5*(p + 1)*(p + 5)/4
Let s(a) be the third derivative of a**6/90 - a**5/60 - a**4/2 + 19*a**3/6 - a**2 + 10*a. Let v(f) be the first derivative of s(f). Let v(x) = 0. Calculate x.
-3/2, 2
Let j(m) = -2*m + 2. Let b be j(-1). Let z be 20/5 - (b - 2). Suppose 50*d**z + 13*d - 28*d - 60*d**3 - 5*d**5 + 13*d**4 + 17*d**4 = 0. Calculate d.
0, 1, 3
Let o be ((-12)/5670 - 0)/(2*(-3)/3). Let p(b) be the third derivative of -1/270*b**6 + 0*b**4 + 0*b**5 + 0 + 0*b - o*b**7 + 0*b**3 + 14*b**2. Factor p(m).
-2*m**3*(m + 2)/9
Let k = -23 - -5. Let s(b) = -b + 1. Let x(m) = -16*m**2 - 4*m**2 - 58 + 12*m - 5*m**2 + 67*m. Let v(g) = k*s(g) - 2*x(g). Suppose v(y) = 0. Calculate y.
7/5
Suppose -9*i + 6 = -12. Suppose -102*o**4 + 5*o**3 - 61*o**3 - 102*o**4 - 76*o**i - 16*o + 16 + 192*o**4 = 0. Calculate o.
-2, -1, 1/3
Suppose 2*u - 2*m - 20 = 0, 13 - 11 = 3*u + 4*m. Let d(c) be the first derivative of -2/3*c - 2/15*c**5 - 4/3*c**3 - u - 4/3*c**2 - 2/3*c**4. Factor d(g).
-2*(g + 1)**4/3
Let g(o) be the third derivative of -o**6/420 - 8*o**5/21 + 169*o**4/28 - 258*o**3/7 + 10*o**2 + 17*o. Factor g(b).
-2*(b - 3)**2*(b + 86)/7
Let o be (30/(-5))/6 + 4 - 1. Solve -23*g - 9*g - 63 - 15 + 3*g**o - 43*g = 0 for g.
-1, 26
Suppose -y + 4*y - 15 = 0. Let s be 25/(-20)*-8 + -5. Factor 0*n**2 - 36*n**4 - 24*n**3 + 24*n**s - 4*n**2 - 40*n**y.
-4*n**2*(n + 1)**2*(4*n + 1)
Factor 13 + 1/5*y**2 - 66/5*y.
(y - 65)*(y - 1)/5
Suppose 0 = -z - 3*j + 11, z + 7*j + 7 = 10*j. Factor 0*k**z - 71*k + 32 + 47*k + 4*k**2.
4*(k - 4)*(k - 2)
Suppose 