55 - 1007*c**4/66 + 84*c**3/11 - 2789*c. Let x(l) = 0. Calculate l.
-252, 0, 1/4
Find r such that -5/4*r**2 - 1505/4*r - 375 = 0.
-300, -1
Suppose -5*s = -11*s + 18. Determine j, given that -20 - 4 + 0*j**3 + 3*j**4 + 0*j**s - 33*j**2 - 54*j = 0.
-2, -1, 4
Let c(m) = -m**3 - 7*m**2 + 18*m + 6. Let j be c(-9). Let i(w) = -j - 11 + 18 + w. Let a(t) = t**2 + 5*t + 4. Let u(b) = a(b) - 6*i(b). Factor u(q).
(q - 2)*(q + 1)
Let w(g) be the second derivative of 0 + 1/3*g**3 + 1/24*g**4 + 0*g**2 - 31*g. Factor w(k).
k*(k + 4)/2
Let t(h) be the third derivative of h**6/1260 - h**5/42 - 95*h**3/6 - 17*h**2 - 3. Let s(n) be the first derivative of t(n). Factor s(w).
2*w*(w - 10)/7
Let r(p) be the first derivative of p**6/36 + 2*p**5/15 - 5*p**3/9 - p**2/12 + p - 139. Determine k, given that r(k) = 0.
-3, -2, -1, 1
Suppose 0*i - 18 = -3*i + w, -5*i + 34 = -3*w. Let -60*o**2 - o + 57*o**2 - i*o + 24 = 0. Calculate o.
-4, 2
Let l(q) be the third derivative of 3*q**5/8 + 959*q**4/8 - 64*q**3 - 7*q**2 - 239*q. Solve l(d) = 0 for d.
-128, 2/15
Suppose -9*l + 100 = 73. Let r(w) be the second derivative of -1/5*w**5 + 0*w**l + 0*w**2 + 2/3*w**4 + 0 - 4*w. What is x in r(x) = 0?
0, 2
Let u(s) be the third derivative of s**8/56 - 128*s**7/105 + 1271*s**6/60 + 359*s**5/5 - 583*s**4/3 - 968*s**3/3 + 4*s**2 + 675. Let u(j) = 0. What is j?
-2, -1/3, 1, 22
Let f = -109 + 116. Factor -9*n - 21*n + 31 - 2*n**2 + f*n**2 - 6.
5*(n - 5)*(n - 1)
Suppose 672 = 100*l - 99*l. Suppose -l = -2*z - 4*t, 5*z - 2*z + t = 1018. Suppose 200*m**2 + 75*m - 2 - z*m**2 - 8 = 0. What is m?
1/4, 2/7
Let z(c) = 76*c**3 + 12*c**2 + 215*c - 471. Let a(u) = -862*u**3 - 132*u**2 - 2364*u + 5182. Let s(k) = -6*a(k) - 68*z(k). Factor s(t).
4*(t - 13)*(t - 2)*(t + 9)
Determine h, given that -15653*h**3 + 3 - 6805*h**3 + 5 + 9682*h**2 + 48050*h**5 - 8864*h**3 - 528*h + 6510*h**4 = 0.
-1, 1/31, 2/5
Let o(z) = 664*z**2 - 2*z. Let t(b) = -2*b**3 + 654*b**2 - 3*b. Let x(s) = -3*o(s) + 2*t(s). Suppose x(l) = 0. What is l?
-171, 0
Let a(q) = 20*q**2 - 353*q. Let k(z) = 5*z**2 - 118*z. Let t(l) = 2*a(l) - 7*k(l). Factor t(h).
5*h*(h + 24)
Let t(r) be the first derivative of 5*r**6/6 + 11*r**5 + 95*r**4/2 + 260*r**3/3 + 60*r**2 + 781. What is d in t(d) = 0?
-6, -2, -1, 0
Suppose 8/3*i**4 + 502/15*i + 20*i**2 + 92/15 - 934/15*i**3 = 0. Calculate i.
-2/5, -1/4, 1, 23
Let y(d) be the first derivative of -d**4/8 + 127*d**3/6 - 992*d**2 - 2048*d + 734. Factor y(i).
-(i - 64)**2*(i + 1)/2
Suppose 6*a**2 + 34/5*a + 2/5*a**4 - 34/5*a**3 - 32/5 = 0. Calculate a.
-1, 1, 16
Let d(y) be the first derivative of 105 - 8/85*y**5 + 3/17*y**4 + 24/17*y**3 + 27/17*y**2 + 0*y - 1/51*y**6. Determine r so that d(r) = 0.
-3, -1, 0, 3
Suppose 4*w = 3*b - 3, w - 5*w - 1 = -b. Suppose 2*v - 7 = c, -b = -4*c - 5. Let n**3 + 0*n**4 - 3*n**5 + n**4 + 2*n**2 - v*n**4 + 2*n**5 = 0. Calculate n.
-2, -1, 0, 1
Let g(y) = -y**3 - 10*y**2 - 12*y - 8. Let b be g(-6). Let v = 82 + b. Find r such that 2/3*r**4 - 40/3*r + 16/3 + 12*r**v - 14/3*r**3 = 0.
1, 2
Let r be 20/(-18)*6534/(-3630). Suppose 15*o**r + 3125 + 375*o + 1/5*o**3 = 0. What is o?
-25
Let f(s) = s**2 - 89*s + 1. Let w(a) = 6*a**2 - 1247*a + 806. Let k(x) = -20*f(x) + 4*w(x). Determine z so that k(z) = 0.
1, 801
Suppose 942*h = -2*q + 937*h - 47, 0 = 3*q - 3*h - 45. Factor 2/3*o**3 + 2/3*o + q - 8/3*o**2.
2*(o - 3)*(o - 2)*(o + 1)/3
Let d(g) be the first derivative of g**3/18 + 8*g**2 - 315*g/2 - 7009. Determine z, given that d(z) = 0.
-105, 9
Let d(t) be the first derivative of t**4/2 + 262*t**3/3 - 2288*t**2 + 18816*t + 13843. Factor d(j).
2*(j - 8)**2*(j + 147)
Let w(r) be the first derivative of -r**3/3 + 35*r**2 - 69*r - 1267. Factor w(p).
-(p - 69)*(p - 1)
Let -24/7*d**3 - 88/7*d + 12*d**2 - 2/7*d**4 + 30/7 = 0. What is d?
-15, 1
Let o be ((-5)/2)/((-245)/392). What is l in 4804*l**2 - 4828*l**2 + o + 6*l + 0 + 14*l**3 = 0?
-2/7, 1
Let c = 19/56 - -1229/56. Factor c*z**2 - 2/7*z**3 - 4056/7*z + 35152/7.
-2*(z - 26)**3/7
Let o = -1211 + 1215. Let f(w) be the first derivative of -3 - 12/5*w**5 + 3*w**2 - 11*w**3 + 39/4*w**o + 0*w. Factor f(y).
-3*y*(y - 2)*(y - 1)*(4*y - 1)
Let f(m) be the third derivative of -m**8/2016 + m**7/180 + m**6/360 - 7*m**5/180 - m**4/144 + 7*m**3/36 + 2*m**2 - 859. Determine v, given that f(v) = 0.
-1, 1, 7
Let w(f) = -7*f**2 + 153*f + 100. Let m(n) = -n**2 - n - 12. Let u(q) = 5*m(q) - w(q). Solve u(s) = 0.
-1, 80
Let y = -320 + 343. Factor 18 - y*k + 11557*k**3 - 6*k**2 - 11554*k**3 + 8*k.
3*(k - 3)*(k - 1)*(k + 2)
Let b(k) = 4*k**4 - 607*k**3 - 1753*k**2 - 13. Let t(g) = g**4 - 202*g**3 - 583*g**2 - 4. Let c(v) = 4*b(v) - 13*t(v). Suppose c(z) = 0. Calculate z.
-63, -3, 0
Suppose -6 = 4*c - 14. Factor -5*k**3 - k**3 + 5*k + 4*k**c + 5*k**3.
-k*(k - 5)*(k + 1)
Let k(r) be the second derivative of -r**6/75 - 283*r**5/50 - 281*r**4/10 - 841*r**3/15 - 56*r**2 + 3748*r. Solve k(g) = 0.
-280, -1
Let v(o) be the third derivative of 1/630*o**7 + 1/90*o**6 - 83*o**2 + 0*o + 0 - 2/9*o**4 + 8/3*o**3 - 4/45*o**5. What is d in v(d) = 0?
-6, -2, 2
Let g(c) be the second derivative of c**7/126 - 7*c**6/2 + 313*c**5/30 + c**4/18 - 209*c**3/6 + 313*c**2/6 + 1468*c. Suppose g(u) = 0. What is u?
-1, 1, 313
Let v be 144/(-27) - 8/(-6). Let q be 0 + (-10)/(-1 + v). Factor 2 - k**3 + 4*k**2 - 5*k - k - q*k + 3*k.
-(k - 2)*(k - 1)**2
Let q(o) be the first derivative of 5*o**6/6 - 17*o**5 + 195*o**4/2 - 160*o**3/3 - 320*o**2 + 985. Determine f so that q(f) = 0.
-1, 0, 2, 8
Let i be 10/3*(-3)/6*((-8643)/(-335) - 27). Find y, given that 1/3*y**3 - 3 + 5*y - 7/3*y**i = 0.
1, 3
Let z(w) be the third derivative of -w**6/120 - 13*w**5/20 + 169*w**4/24 - 43*w**3/2 - 18*w**2 - 32. Determine q, given that z(q) = 0.
-43, 1, 3
Let u(c) be the second derivative of 52/27*c**3 - 5 - 1/54*c**4 + 14*c - 676/9*c**2. Factor u(d).
-2*(d - 26)**2/9
Solve -1/3*v**3 + 38 + 89/3*v + 14/3*v**2 = 0 for v.
-3, -2, 19
Let l(g) = 237*g + 1189. Let q be l(-5). Let x(a) be the second derivative of 0 + 7/6*a**3 + 1/12*a**q + 3*a**2 - 19*a. What is n in x(n) = 0?
-6, -1
Let n(b) = -b**3 + 4*b**2 + 10*b + 15. Let t be n(6). Factor 3819*a**3 - 36 - 96*a - 3804*a**t - 6*a**2 - 3*a**2.
3*(a - 3)*(a + 2)*(5*a + 2)
Let b(d) be the first derivative of 1/4*d**3 - 3/8*d**2 - 3/2*d - 39. Factor b(u).
3*(u - 2)*(u + 1)/4
Let p(r) = -37*r**2 + 27013*r + 26935. Let m(x) = 5*x**2 - 3377*x - 3367. Let q(l) = 23*m(l) + 3*p(l). Suppose q(u) = 0. What is u?
-841, -1
Determine b, given that -46/5*b**4 + 242/5 - 2/5*b**5 - 196/5*b**2 + 286/5*b - 284/5*b**3 = 0.
-11, -1, 1
Let i be (96/(-9))/((-32)/48). Factor 345*f**3 - 110*f**3 + 132*f**2 - 176 + 4*f**4 - 159*f**3 - 132*f**3 + i*f.
4*(f - 11)*(f - 2)**2*(f + 1)
Suppose -77/4*w + 37/4*w**2 + 1/4*w**3 + 39/4 = 0. What is w?
-39, 1
Let a = 867 - 849. Let g(r) be the second derivative of -a*r + 0*r**3 + 2/33*r**4 + 0*r**2 + 2/55*r**5 + 1/165*r**6 + 0. Find w, given that g(w) = 0.
-2, 0
Let f(c) be the first derivative of -3*c**5/20 - 3*c**4 - 21*c**3/2 + 147*c**2 - 46*c + 121. Let a(s) be the first derivative of f(s). Factor a(d).
-3*(d - 2)*(d + 7)**2
Suppose -99*d + 354/5*d**2 - 3/5*d**5 + 18/5*d**3 + 189/5 - 63/5*d**4 = 0. Calculate d.
-21, -3, 1
Let a be (8/(-20) - (-4992)/(-720))*(-18)/16. Factor 0 - a*z**2 + 1/2*z.
-z*(33*z - 2)/4
Let h be ((-13)/65)/(-2*(-3)/(-60)). Suppose h*f - 3*z = 18, -5*f + 0*f = 5*z + 5. Let 1/2*a**2 - 1/4*a - 1/2 + 1/4*a**f = 0. Calculate a.
-2, -1, 1
Factor 23*p**2 + 96*p + 288 - 288 - 22*p**2.
p*(p + 96)
Let z(l) be the third derivative of -l**8/100800 + l**7/4200 + 7*l**6/3600 - 21*l**5/20 - 191*l**2. Let f(h) be the third derivative of z(h). Factor f(v).
-(v - 7)*(v + 1)/5
Let q be ((-3)/(-8))/(6/48). Let i = -4/17 + 54/85. Find t such that 4/5*t**q - i + 6/5*t**2 + 0*t = 0.
-1, 1/2
Let c(v) = 19*v**2 - 3144*v - 3145. Let s(w) = 8*w**2 - 1572*w - 1572. Let k(m) = 4*c(m) - 9*s(m). Factor k(y).
4*(y + 1)*(y + 392)
Factor -855/2*f + 219/4*f**2 + 1083/4 + 12*f**4 + 90*f**3.
3*(f - 1)**2*(4*f + 19)**2/4
Let c(g) be the first derivative of -1152*g**6 - 140/3*g**3 + 2*g**2 - 113 - 5184/5*g**5 + 396*g**4 + 0*g. What is y in c(y) = 0?
-1, 0, 1/12
Let r(l) = 7*l**3 + 307*l**2 - 2647*l + 10. Let a(z) = -2*z**3 - 154*z**2 + 1318*z - 4. Let q(n) 