*n + 57. Let d(c) = t*a(c) - 2*i(c). Let d(x) = 0. What is x?
-1, 3
Let a(n) = -6*n - 262. Let b be a(-44). Let c(t) be the first derivative of -37 + 2/15*t**3 + 6/5*t**b - 14/5*t. Let c(k) = 0. What is k?
-7, 1
Suppose 1352*n + 1142*n + 896*n = -2410*n. Solve -102/7*q**3 + 0*q**2 + n*q + 3*q**5 - 351/7*q**4 + 0 = 0 for q.
-2/7, 0, 17
Find f such that 3*f**3 + 3/5*f**4 - 99/5*f - 54/5 - 33/5*f**2 = 0.
-6, -1, 3
Let o(i) be the first derivative of -i**5/60 - 2*i**4/3 + 25*i**3/18 - 87*i + 75. Let x(w) be the first derivative of o(w). Factor x(u).
-u*(u - 1)*(u + 25)/3
Let d be (0 + 0)*(2/6)/1. Let k(t) be the third derivative of 0*t**4 + 1/168*t**7 + 0*t**5 + 1/96*t**6 + 0 - 6*t**2 + 0*t + d*t**3. Factor k(w).
5*w**3*(w + 1)/4
Let u = 336602/5 + -67318. Solve 16/5 + u*n + 2/5*n**2 = 0 for n.
-4, -2
Let y(i) be the second derivative of -i**6/15 + 241*i**5/10 - 239*i**4/2 + 715*i**3/3 - 238*i**2 - 4266*i. Factor y(a).
-2*(a - 238)*(a - 1)**3
Let l(v) be the third derivative of v**5/120 - 847*v**4/24 - 565*v**3/4 - 160*v**2 + 27*v. Factor l(w).
(w - 1695)*(w + 1)/2
Let x(k) = 16*k**2 - 105892*k + 77898036. Let w(y) = 7*y**2 - 47063*y + 34621348. Let a(c) = -20*w(c) + 9*x(c). Suppose a(r) = 0. Calculate r.
1471
Let p(j) = j**3 - 10*j**2 - 5325*j + 42730. Let f be p(8). Factor -39/4*t - 45/2 + 3/4*t**f.
3*(t - 15)*(t + 2)/4
Let q(b) be the second derivative of -b**4/60 - 44*b**3/15 + 18*b**2 + 2156*b. Factor q(s).
-(s - 2)*(s + 90)/5
Let s(t) = 10*t**3 + 139*t**2 - 5*t + 133. Let p be s(-14). Let x(j) be the first derivative of -1/7*j**3 - 24/7*j - 27/14*j**2 + p. Factor x(v).
-3*(v + 1)*(v + 8)/7
Let a = 16/3 + -38/15. Suppose -807 = -1211*b + 942*b. Factor 4/5*r**b + 14/5*r + 4/5 + a*r**2.
2*(r + 1)*(r + 2)*(2*r + 1)/5
Let r = 3757/11280 + 1/3760. Let k(x) be the first derivative of 8/9*x**3 + 0*x + r*x**4 + 2/45*x**5 - 3 + 8/9*x**2. Find a, given that k(a) = 0.
-2, 0
Let y(o) = 5*o**2 - 281*o + 252. Let c(r) = 13*r**2 - 835*r + 756. Let f(b) = -4*c(b) + 11*y(b). Factor f(d).
3*(d - 1)*(d + 84)
Let f(v) be the first derivative of -343*v**6/9 - 19698*v**5/5 + 4249*v**4 - 14600*v**3/9 + 232*v**2 - 8504. Suppose f(o) = 0. What is o?
-87, 0, 2/7
Let p(u) be the second derivative of u**6/120 - 7*u**5/80 + 3*u**4/16 + 7*u**3/24 - 5*u**2/4 - 820*u. What is r in p(r) = 0?
-1, 1, 2, 5
Let k(v) = v**3 + 24*v**2 + 258*v + 4711. Let f be k(-22). Suppose 4/7 + 8/7*x**2 + 2/7*x**f + 10/7*x = 0. Calculate x.
-2, -1
Let m(o) be the third derivative of o**7/630 - o**6/10 + 19*o**5/12 + 361*o**4/36 + 2*o**2 - 562. Factor m(a).
a*(a - 19)**2*(a + 2)/3
Find i such that 1/6*i**3 + 0 - 23/3*i + 15/2*i**2 = 0.
-46, 0, 1
Let y(c) = 435*c**3 - 2465*c**2 + 1695*c + 1470. Let o(g) = 27*g**3 - 154*g**2 + 106*g + 92. Let r(v) = 95*o(v) - 6*y(v). What is s in r(s) = 0?
-4/9, 2
Let t(h) = h**2 + 2*h + 1. Suppose -v + q - 1 = 0, -14*v + 3*q - 4 = -12*v. Let c(o) = o**2 - 16*o - 32. Let x(a) = v*c(a) - 4*t(a). Factor x(m).
-3*(m + 2)*(m + 6)
Let n(b) = 101*b**2 + 886*b + 12. Let q(x) = -98*x**2 - 886*x + 1. Let h(s) = 3*n(s) + 4*q(s). Factor h(t).
-(t + 10)*(89*t - 4)
Let d be (-6)/(-57) - 17/(-19). Suppose -3*f - 21 = -w, 4*w - 28 = -2*f - 0*f. Determine h so that -h**2 + 14 - 2 + d - 3 + w*h = 0.
-1, 10
Let p(o) = -2*o**3 + 218*o**2 + 7616*o + 84726. Let r(w) = -2*w**3 - w**2 + 27. Let f(g) = -p(g) + 2*r(g). Factor f(d).
-2*(d + 28)**2*(d + 54)
Let i(j) = -3*j**2 + 2*j - 6. Let w(q) = -4*q**3 + 167*q**2 + 198*q - 37826. Let l(x) = -5*i(x) - w(x). Factor l(g).
4*(g - 26)**2*(g + 14)
Let c(h) = h**2. Let z(g) be the second derivative of 5*g**4/6 + 5*g**3/3 - 6*g**2 - 27*g - 2. Let p(q) = -2*c(q) + z(q). What is m in p(m) = 0?
-2, 3/4
Let f(x) = 8*x**2 - 580*x - 1132. Let v(h) = -23*h**2 + 1740*h + 3402. Let t(c) = 17*f(c) + 6*v(c). Suppose t(w) = 0. Calculate w.
-2, 292
Let q = 239935 + -239931. Find z, given that -2/5*z + 3/5*z**q - 3/5*z**2 + 29/5*z**3 + 0 - 27/5*z**5 = 0.
-1, -2/9, 0, 1/3, 1
Let b(s) be the third derivative of -s**5/240 - 79*s**4/96 - 13*s**3/4 + 585*s**2 + 2*s. Find g such that b(g) = 0.
-78, -1
Let u(j) be the second derivative of -j**5/8 + 5*j**4/6 + 325*j**3/12 + 165*j**2 + 2*j - 175. Factor u(b).
-5*(b - 11)*(b + 3)*(b + 4)/2
Let w(i) be the second derivative of i**6/180 + i**5/10 - 35*i**4/24 + 16*i**3/9 + 15*i**2 + 1254*i. Let w(y) = 0. What is y?
-18, -1, 2, 5
Let u = 50 + -48. Factor 8 + 50*l**u - 2*l - 49*l**2 - l - 6*l.
(l - 8)*(l - 1)
Suppose -5*n - 4*m = -136, -4*n + 113 = 4*m + 1. Let l be n/(-30)*15/(-6). Factor -3*q + 151*q**3 - 78*q**3 + 3*q**4 + 9*q**l - 82*q**3.
3*q*(q - 1)**3
Let a be (-32)/48*((-14)/(-2) + -1). Let r(d) = 7*d**2 + 29*d + 2. Let p(w) = 7*w**2 + 31*w + 4. Let y(q) = a*p(q) + 3*r(q). Suppose y(l) = 0. Calculate l.
-5, -2/7
Suppose 4*b - 7*a + 11*a = 0, -3*b + 8*b + 3*a = 2*a. Solve -2*q + b*q**2 + 0 - 1/2*q**5 + 0*q**4 + 5/2*q**3 = 0 for q.
-2, -1, 0, 1, 2
Let f(o) be the first derivative of o**7/2940 - 2*o**6/315 + 13*o**5/420 - o**4/14 + o**3/3 - 92. Let a(h) be the third derivative of f(h). Factor a(i).
2*(i - 6)*(i - 1)**2/7
Let n be (-11)/1 + (0 - -16). Factor 0*y - 2/7*y**3 + 0*y**2 - 2/7*y**n + 0 + 4/7*y**4.
-2*y**3*(y - 1)**2/7
Let w(q) be the first derivative of 3*q**5/35 + 15*q**4/7 + 99*q**3/7 - 30*q**2/7 - 300*q/7 - 3554. Suppose w(c) = 0. What is c?
-10, -1, 1
Let m(h) = 22*h**3 + 30462*h**2 - 60718*h + 30438. Let l(z) = 2*z**3 + 2769*z**2 - 5520*z + 2767. Let d(c) = -68*l(c) + 6*m(c). Suppose d(w) = 0. Calculate w.
-1382, 1
Let m(s) be the first derivative of -s**5 - 357*s**3 - 1254*s**3 - 21970*s**2 - 79*s**3 - 142805*s - 10 - 65*s**4 + 16. Factor m(r).
-5*(r + 13)**4
Factor -76995328/7*r - 5158686976/7 - 1/7*r**4 - 430944/7*r**2 - 1072/7*r**3.
-(r + 268)**4/7
Factor 0 + 136/3*b**3 - 2*b - 406/3*b**2.
2*b*(b - 3)*(68*b + 1)/3
Factor -159*n + 392*n + 4*n**3 + 49*n**2 - 22 + 96 - 114*n.
(n + 1)*(n + 2)*(4*n + 37)
Let p(r) be the second derivative of 9*r**5/10 - 89*r**4/3 - 40*r**3/3 - 72*r + 21. Factor p(j).
2*j*(j - 20)*(9*j + 2)
Let k(h) be the third derivative of -1/28*h**8 + 1/10*h**7 - 3*h**5 - 63/4*h**4 + 14*h - 27/2*h**3 + 2*h**2 + 0 + 5/4*h**6. Suppose k(s) = 0. What is s?
-3, -1, -1/4, 3
Factor 800 + 7217*w**2 - 10459 + 412*w**3 + 15*w**4 + 3571*w**2 - 52765 + 7956*w - 11*w**4.
4*(w - 2)*(w + 3)*(w + 51)**2
Let o(b) be the third derivative of -1/210*b**7 - 3/5*b**5 + 0*b + 1 + 18*b**2 + 1/10*b**6 + 0*b**3 + 0*b**4. Suppose o(s) = 0. Calculate s.
0, 6
Determine w so that -48/5 + 2*w**2 + 2/5*w**3 - 4/5*w = 0.
-4, -3, 2
Suppose -6*c - 40 = -16*c. Let 4*r**2 - c*r**5 - 86*r**4 - 46*r**3 + 34*r**3 + 98*r**4 = 0. Calculate r.
0, 1
Let n(s) be the first derivative of -s**4/22 + 152*s**3/33 - 13. Let n(u) = 0. What is u?
0, 76
Let v be ((-6)/30)/((-18)/1602) + 2. Solve -138/5*c**2 - v*c**3 + 24/5 - 21/5*c**4 - 36/5*c = 0 for c.
-2, -1, 2/7
Let h(m) = -m**5 - m**4 - 2*m**3 + m**2 + m - 2. Let w(q) = -8*q**5 - 20*q**4 - 24*q**3 + 6*q**2 + 6*q - 12. Let z(x) = -6*h(x) + w(x). What is u in z(u) = 0?
-6, -1, 0
Let o(d) = -7*d**2 + 170*d - 23. Let j(x) = -x**2 - 25*x + 24. Let m be j(-25). Let h be o(m). Factor -h - 5*f - 1/4*f**2.
-(f + 10)**2/4
Suppose 5*k - 458 = 4*t - 488, -66 = -8*k - 5*t. Solve -4/3*p**k + 0 + 50/3*p**3 - 56*p**4 + 24*p**5 + 0*p = 0 for p.
0, 1/6, 2
Factor 340*c - 137 + 65*c**3 - 313*c**2 + 73*c**2 - 23 - 5*c**4.
-5*(c - 8)*(c - 2)**2*(c - 1)
Find s, given that 10*s**2 - 1648*s**5 + 553*s**5 + 548*s**5 - 9*s + 546*s**5 + 10*s**3 - s**4 - 9 = 0.
-3, -1, 1, 3
Suppose 0 - 100/3*r**3 + 2/3*r**4 - 912*r + 328*r**2 = 0. Calculate r.
0, 6, 38
Let b(h) be the second derivative of 14/3*h**3 + 0 + 119*h + 1/3*h**4 + 12*h**2. Factor b(m).
4*(m + 1)*(m + 6)
Let c(v) = 9*v**3 - 153*v**2 + 417*v + 540. Let p(w) = -16*w**3 + 295*w**2 - 834*w - 1080. Let i(b) = -5*c(b) - 3*p(b). Factor i(u).
3*(u - 36)*(u - 5)*(u + 1)
Let -89*x - 1/2*x**4 - 87/2*x**2 + 0 + 45*x**3 = 0. Calculate x.
-1, 0, 2, 89
Suppose 176*w = 174*w + 3*c + 3163, -2*w - 10*c = -3046. Factor w - 56*a + 1/2*a**2.
(a - 56)**2/2
Let u(c) be the first derivative of 12/25*c**5 + 1/10*c**6 + 0*c + 0*c**2 - 4/5*c**3 - 3/20*c**4 + 122. Suppose u(k) = 0. What is k?
-4, -1, 0, 1
Suppose -10*r = 3*r - 26. Suppose d**r + 26*d - 1 - 26*d = 0. What is d