j - 1)*(j + 1)*(j + 7)/3
Let r be (-26)/(-65) + (-256)/(-10). Let u = r + -23. Factor 0*p**5 - p**2 - 3*p**5 + 2*p**3 - u*p**3 + 4*p**5 + p**4.
p**2*(p - 1)*(p + 1)**2
Let h(q) be the second derivative of -3*q**7/14 - 67*q**6/10 - 1047*q**5/20 + 287*q**4/4 + 66*q**3 + 7095*q. Suppose h(v) = 0. What is v?
-12, -11, -1/3, 0, 1
Suppose -7*a - 6150 = 23*a. Let z = a + 215. Factor 5/2*n**2 + z*n + 10.
5*(n + 2)**2/2
Let g be 7/(-1)*186/(-434). Let x be 6/(-9)*(-18)/22. Solve x*l**g - 8/11*l + 0 - 8/11*l**2 = 0 for l.
-2/3, 0, 2
Let j = 265/32 + -253/32. Determine m so that j*m**4 + 0 + 0*m + 1/4*m**3 - 5/8*m**5 + 0*m**2 = 0.
-2/5, 0, 1
Let v(w) be the first derivative of -24*w - 8*w**2 + 10/3*w**3 + 82 + 1/2*w**4. Find x, given that v(x) = 0.
-6, -1, 2
Suppose 225 - 258*t + 3/2*t**4 + 297/4*t**3 - 171/4*t**2 = 0. Calculate t.
-50, -2, 1, 3/2
Let v(p) be the second derivative of -p**5/80 - 145*p**4/48 - 107*p**3/6 - 71*p**2/2 + 10605*p. Factor v(t).
-(t + 1)*(t + 2)*(t + 142)/4
Suppose 2 + 4 = 2*g - n, -2*g = -5*n + 2. Suppose -g*i - 5*v + 10 = -i, 4*i + 2*v - 18 = 0. Factor 239 - 247 - 2*j**3 + j**2 + i*j**2.
-2*(j - 2)**2*(j + 1)
Let u(l) be the first derivative of -13/2*l**2 + 1/4*l**4 - 1/5*l**5 + 6*l + 7/3*l**3 - 38. Factor u(n).
-(n - 2)*(n - 1)**2*(n + 3)
Suppose 0 = -7*f - 9330 + 9421. Let u(n) be the first derivative of 0*n + f*n**4 - 13 + 24/5*n**5 + 2/3*n**6 + 16*n**3 + 8*n**2. Suppose u(c) = 0. Calculate c.
-2, -1, 0
Let d(k) be the third derivative of -k**6/630 + k**5/30 - 2*k**4/7 - 49*k**3/6 + 39*k**2 + 3. Let y(n) be the first derivative of d(n). Let y(r) = 0. What is r?
3, 4
Let d be 240/90*12/56. Let y be 384/(-126) + 5 - (-2)/6. Let -48/7*b**2 + d*b**3 - y*b + 0 + 12/7*b**4 = 0. Calculate b.
-2, -1/3, 0, 2
Let q(t) = -t**3 + 2*t**2 - 3*t - 2. Let b(m) = -m**2 - 1. Let r = 57 - 51. Let i(z) = r*b(z) - 3*q(z). Factor i(x).
3*x*(x - 3)*(x - 1)
Let k(n) = -22*n - 129. Let f be k(-32). Let o = 1151/2 - f. Let 3*b + o*b**2 + 9/2 = 0. Calculate b.
-3
Let q(k) be the first derivative of k**4 - 8*k**3 + 10*k**2 + 48*k + 3186. Let q(o) = 0. What is o?
-1, 3, 4
Suppose 4*q + 12 = -0*q - 4*u, -5*q - 3*u - 9 = 0. Let s = 164580/23 + -822854/115. Find p such that 0*p**2 + 0 + q*p - s*p**3 + 26/5*p**4 = 0.
0, 1/13
Solve 478*h**2 + 596*h**2 - 48 + 476*h**3 - 113*h**2 + 47*h**4 + 448*h + 41*h**4 - 125*h**2 = 0 for h.
-2, -3/2, 1/11
Let h(o) be the third derivative of 1/210*o**5 + 0 + 144*o**2 + 0*o**4 + 1/420*o**6 + 0*o**3 + 0*o. Factor h(c).
2*c**2*(c + 1)/7
Let s(x) be the second derivative of -x**7/21 + 2*x**6/5 - 7*x**5/10 - x**4 + 8*x**3/3 + 258*x - 4. Solve s(f) = 0.
-1, 0, 1, 2, 4
Let a(f) be the first derivative of 34*f**5/35 - 83*f**4/14 + 184*f**3/21 + 12*f**2/7 + 5081. Solve a(m) = 0.
-2/17, 0, 2, 3
Let m(q) = q. Let i be m(0). Let u be (-1027)/(-553) - (-2)/14. Factor -2/7*v**3 + 0 + i*v**u + 2/7*v.
-2*v*(v - 1)*(v + 1)/7
Let u = -33079 + 99242/3. Let h(k) be the third derivative of u*k**3 + 1/150*k**5 + 6*k**2 + 0*k - 1/6*k**4 + 0. Suppose h(t) = 0. What is t?
5
Suppose -1605/2*h**3 + 6750*h + 0 - 189/4*h**4 - 3/4*h**5 - 1575*h**2 = 0. Calculate h.
-30, -5, 0, 2
Let r be ((-5)/(-8))/((-2)/(-6)). Let b = -1297641/4 + 324417. Suppose 9/4 - b*j**2 + r*j**3 + 21/8*j = 0. What is j?
-2/5, 1, 3
Let h(i) = -1088*i**2 + 233*i - 17. Let r(n) = 2175*n**2 - 465*n + 33. Let z = 14 - 22. Let x = z - -13. Let d(g) = x*r(g) + 9*h(g). Factor d(l).
3*(19*l - 2)**2
Factor 179/4*q**2 + 0 - 1/2*q**3 + 45/2*q.
-q*(q - 90)*(2*q + 1)/4
Let i(m) be the third derivative of -8*m**7/105 + 483*m**6/10 - 43802*m**5/5 + 32761*m**4/6 + 893*m**2. Determine b so that i(b) = 0.
0, 1/4, 181
Let c(v) = -19*v - 418. Let r be c(-22). Let o(q) be the first derivative of r*q + 27/2*q**2 + 4 - 6*q**3 + 3/4*q**4. What is k in o(k) = 0?
0, 3
Find o, given that 67/2*o**2 + 1 - 135/2*o = 0.
1/67, 2
Let o = 1173683 + -1173681. Solve 48/13 + 92/13*p**o - 14/13*p**3 + 154/13*p = 0 for p.
-1, -3/7, 8
Suppose 0 = -10*i - 6363 + 983. Let g = 542 + i. Factor 2/5*p**3 - 1/10*p**5 + 0 + 3/10*p**g + 0*p**2 + 0*p.
-p**3*(p - 4)*(p + 1)/10
Let l(r) be the second derivative of r**6/120 + 9*r**5/80 - 7*r**4/24 - 3*r**3/2 + 5*r**2 + 865*r. Solve l(c) = 0.
-10, -2, 1, 2
Suppose 49116 + 89559 + 897*k + 3*k**2 + 393*k + 4*k**2 - 4*k**2 = 0. What is k?
-215
Let g be 19*((-81)/18)/(-9) + -8. Let c(x) be the first derivative of -g*x**2 + 0*x + 2/3*x**3 + 26 - 1/12*x**4. Solve c(b) = 0 for b.
0, 3
Suppose -5*j = o - 14, 8*o - 6*o = -5*j + 48. Factor -o*z**2 + 220 - 38*z**2 + 77*z**2 - 225*z.
5*(z - 44)*(z - 1)
Let d = -4 - -26. Suppose -16*i + 2596 = -1164. Determine z, given that i*z**3 + 20 + 121*z - 16*z**4 - d*z + 91*z**4 + 26*z + 265*z**2 = 0.
-1, -4/5, -1/3
Suppose 17*s - 1053 = -10*s. Let i be -2 - (s/(-6) - 10/(-20)). Factor -1/3*j**2 + 2/3*j + 1/3*j**i + 0 - 2/3*j**3.
j*(j - 2)*(j - 1)*(j + 1)/3
Let i(v) = v**3 + 6*v**2 + 2*v + 14. Let s be i(-6). Suppose -4*k + 14 = 4*g + s, 0 = -3*k - 5*g + 11. Factor -13 + 4 + 1 + 28*t**k - 20*t.
4*(t - 1)*(7*t + 2)
Let p be (1962/(-9156))/((-9)/28). Suppose 0*h**2 - h + p + 1/3*h**3 = 0. What is h?
-2, 1
Let h(k) be the third derivative of k**7/42 + 13*k**6/24 + 5*k**5/6 - 5*k**4 + 736*k**2. Suppose h(g) = 0. Calculate g.
-12, -2, 0, 1
Let a(s) be the third derivative of -17/96*s**4 + 1/30*s**6 - 159*s**2 - 5/12*s**3 + 0*s + 1/120*s**5 + 1/105*s**7 + 0 + 1/1344*s**8. What is j in a(j) = 0?
-5, -2, -1, 1
Suppose 50*c - 297 + 49 = -148. Factor -6/11*z**c - 14/11*z + 12/11.
-2*(z + 3)*(3*z - 2)/11
Suppose k - 2 = 2*l - 3, 0 = 2*k + 3*l - 26. Let r(j) = 2*j**3 - 9*j**2 - j + 11. Let z be r(k). Factor -4*i**2 + 20*i**2 - z*i + 4*i**3 + 229*i.
4*i*(i - 1)*(i + 5)
Let q(f) be the third derivative of f**5/60 + 113*f**4/12 + 40*f**2 + 1. Factor q(c).
c*(c + 226)
Factor -27*t**2 - 257*t**2 - 5*t**4 - 1034*t**3 - 399*t**2 + 2561*t**3 + 73*t**2.
-t**2*(t - 305)*(5*t - 2)
Let k(a) be the third derivative of a**5/105 + 95*a**4/21 + 752*a**3/21 + 4*a**2 + 1. Find v, given that k(v) = 0.
-188, -2
Let m be 76/(-133) + -7 + (10 - -3). Factor 0*t + 12/7*t**2 + 40/7*t**4 + 0 + 2*t**5 + m*t**3.
2*t**2*(t + 1)**2*(7*t + 6)/7
Let i = 247624016/19 + -2597575309789/199310. Let k = -1/1049 + i. Let k*b**3 - 1/10*b - 7/5*b**4 + 1/5 - 9/5*b**2 = 0. What is b?
-2/7, 1/2, 1
Let b be (-928)/(-22) + 10/(-55). Suppose -3*k + 12 = 4*p - 3*p, -p = -5*k - 52. Determine y so that -p*y - 73*y**2 + 11 + b*y**3 - 27 - 9*y**4 + 83*y = 0.
1, 4/3
Let v(t) be the second derivative of 1/15*t**4 + 7*t + 3/100*t**5 + 1/30*t**3 + 1 + 0*t**2. Determine l so that v(l) = 0.
-1, -1/3, 0
Let p(j) be the second derivative of -j**4/8 - 171*j**3/4 + 129*j**2 - 12*j - 55. Factor p(b).
-3*(b - 1)*(b + 172)/2
Let l(u) be the first derivative of 11/8*u**2 + 23/8*u - 1/24*u**3 - 161. Factor l(d).
-(d - 23)*(d + 1)/8
Let h = -489 - -494. Find v such that -200 - 151*v + v - 30*v - 15*v**2 - h*v**2 - 10*v**2 + 5*v**3 = 0.
-2, 10
Let p(c) = -105*c**3 - 1690*c**2 - 6874*c - 628. Let o(j) = 1470*j**3 + 23660*j**2 + 96235*j + 8790. Let r(i) = -6*o(i) - 85*p(i). What is n in r(n) = 0?
-8, -2/21
Let y = 30 + -28. Determine x so that 2*x**2 + 4*x**2 + 2*x**3 - 7*x**y - 8 + 7*x**2 = 0.
-2, 1
Let a be 0 + 11 + 11256/(-1072). Let z(j) be the second derivative of 0*j**2 + 1/15*j**6 + 0 + 0*j**3 + a*j**4 - 2/5*j**5 - 13*j. Factor z(y).
2*y**2*(y - 3)*(y - 1)
Let k(p) = -p**3 - 1. Let m be k(-2). Let a = -3 + m. What is v in -a*v + 3*v**3 - 6 + v - 4*v - 2*v = 0?
-1, 2
Let d = -18876 - -54062/3. Let l = 862 + d. Factor 40/3 - l*t - 10/3*t**2 + 5/3*t**3.
5*(t - 2)**2*(t + 2)/3
Let o(j) be the second derivative of -j**9/1512 + j**8/210 - j**7/140 + 22*j**3 - 175*j. Let a(t) be the second derivative of o(t). Let a(b) = 0. Calculate b.
0, 1, 3
Let h(y) be the third derivative of -1/240*y**6 + 3*y**3 - 11/16*y**4 + 0*y + 32*y**2 + 1/12*y**5 + 0. Factor h(t).
-(t - 4)*(t - 3)**2/2
Let h(v) = 5*v**2 + 27*v - 96. Let m(d) = -2*d + 1. Let r = -205 - -211. Let l(j) = r*m(j) + h(j). Factor l(s).
5*(s - 3)*(s + 6)
Find t such that -1/5*t**2 - 207/5 + 72/5*t = 0.
3, 69
Let u = 160728/65 - 32130/13. Solve 8/5*v**2 - 14/5*v + u = 0.
3/4, 1
Let m(a) be the second derivative of 18 + 1/3*a**4 + 76*a**3 - 7*a + 6498*a**2. Factor m(z).
4*(z + 5