2*q**3 - 39*q**2 + 22*q = 0. What is q?
2/5, 2/3
Let c be (-2 + (-166)/(-6))/(-12 - -11). Let o = 26 + c. What is g in g**3 + 0 + 0*g + o*g**2 + 2/3*g**4 = 0?
-1, -1/2, 0
Let f(s) = -24*s**3 + 167*s**2 + 16*s - 61. Let q be f(7). Factor -3/5 + 7/10*u - 1/10*u**q.
-(u - 6)*(u - 1)/10
Factor 238*w + 3*w**2 + 294*w - 436*w + 188 - 2*w**2.
(w + 2)*(w + 94)
Let z(p) = 2*p**2 + 3*p. Suppose -5*i = 2*q - 4, 5*i - 22 = 4*q - 0*i. Let o be z(q). Factor 1 + 10 + o*f - 3*f**2 - 20 + 3.
-3*(f - 2)*(f - 1)
Suppose 307*c - 160 = 227*c. Let o(k) be the second derivative of 0*k**3 - 27*k + 0*k**c + 0 + 3/5*k**5 - 2/3*k**4 - 2/15*k**6. Find s such that o(s) = 0.
0, 1, 2
Let c(i) be the third derivative of 0 - 1024/9*i**3 + 16/9*i**4 - 1/90*i**5 + i**2 + 47*i. Factor c(j).
-2*(j - 32)**2/3
Let l(f) = 16*f + 356. Let j be l(-16). Suppose -3*d**4 + 11*d + 6*d - j - d**4 - 26*d**2 + 143*d - 32*d**3 + 2*d**2 = 0. What is d?
-5, 1
Let n(l) be the third derivative of -l**8/504 + l**7/45 - 19*l**6/180 + 5*l**5/18 - 4*l**4/9 + 4*l**3/9 - 2445*l**2. Suppose n(h) = 0. What is h?
1, 2
Let l(f) be the second derivative of -f**5/60 + 35*f**4/18 - 1313*f**3/18 + 3718*f**2/3 + 1117*f. Let l(o) = 0. Calculate o.
13, 44
Factor 1/3*b**3 - 144 + 99*b - 18*b**2.
(b - 48)*(b - 3)**2/3
Suppose 136*i - 80 - 127 = 65. Find v, given that -6/7*v**4 - 4/7*v**3 - 2/7*v**5 + 2/7 + 6/7*v + 4/7*v**i = 0.
-1, 1
What is y in -5/6*y**5 - 27*y**4 - 358*y + 1061/6*y**3 - 85/3*y**2 - 380/3 = 0?
-38, -1, -2/5, 2, 5
Let g(o) = -16*o + 599. Let j be g(35). Let h be (-415)/(-35) - (-2 - j/(-21)). Determine n, given that -4/3 - h*n**2 - 8*n - 16/3*n**3 = 0.
-1, -1/4
Let c(k) = k**2 + 8*k - 1. Let r be c(0). Let m(z) = z**2 - 5. Let g(i) = -2*i**2 - 39*i - 25. Let t(j) = r*g(j) - 3*m(j). Solve t(v) = 0 for v.
-1, 40
Let o(y) be the second derivative of y**4/84 - 11*y**3/42 - 6*y**2/7 + 1860*y - 1. Determine a, given that o(a) = 0.
-1, 12
Let r be 7/(18/(-4)*18/(-162)). Find k such that 121*k**3 - 24*k**4 - 4*k**5 - r*k**2 - 3*k**2 - 100*k + 72 - 17*k**3 - 31*k**2 = 0.
-9, -1, 1, 2
Factor 435*y - 148 - 146 - 45*y**2 + 17*y**2 + 16*y**2 + 21*y**2.
3*(y + 49)*(3*y - 2)
Let g = 1935 + -1916. Let u(x) be the first derivative of 3/5*x**2 - g + 1/15*x**3 + x. Find m such that u(m) = 0.
-5, -1
Let o be 387972/182*17/3. Let a = o - 12054. Determine g, given that 54*g**2 - a*g - 21*g**3 + 24/7 = 0.
2/7, 2
Let z(q) be the third derivative of 16 - 2/15*q**5 + 0*q - 1/6*q**4 + 1/30*q**6 - 7*q**2 + 4/3*q**3. Determine n, given that z(n) = 0.
-1, 1, 2
Let s = -29 - -20. Let p(f) = f**3 + 10*f**2 + 7*f - 14. Let k be p(s). Suppose 4*h**3 - 17*h**2 - 52*h - 4 - 4*h**2 - 7*h**2 + 4*h**k - 20 = 0. What is h?
-2, -1, 3
What is n in 3*n + 23*n**3 + 2*n**4 - 15*n - 2*n**5 + 0*n - 9*n**3 + 4*n**2 - 6*n**2 = 0?
-2, -1, 0, 1, 3
Factor 36100*r + 54872 + 17419*r**3 + 3335*r**2 + 1453*r**2 + 4*r**4 - 17183*r**3.
4*(r + 2)*(r + 19)**3
Let v be (-47 + (-4560)/(-96))*4. Let -6*b**3 - 2*b**2 + 0 + 4/3*b + v*b**5 - 2/3*b**4 = 0. What is b?
-1, 0, 1/3, 2
Let k(h) be the third derivative of -h**7/70 + h**6/40 + 8*h**2 + 81. Factor k(l).
-3*l**3*(l - 1)
Factor 32986*r - 59448*r - 101*r**3 + 798*r**2 - 79672*r + 4705274 + 99*r**3.
-2*(r - 133)**3
Let s(b) be the first derivative of 2*b**3/27 + 280*b**2/9 + 39200*b/9 - 5449. Solve s(l) = 0.
-140
Determine u, given that 1478/3*u**4 + 39698496 + 40183116*u**2 + 79639056*u + 729145/3*u**3 + 1/3*u**5 = 0.
-492, -1
Let x(i) be the second derivative of 5*i**6/12 + 83*i**5/8 - 619*i**4/24 + 197*i**3/12 - 9*i**2/2 - 31*i - 17. Suppose x(c) = 0. Calculate c.
-18, 1/5, 1
Let o(m) be the second derivative of m**4/4 - 657*m**3 + 1294947*m**2/2 + 273*m + 2. Suppose o(s) = 0. Calculate s.
657
Let l(i) = -115*i - 803. Let k be l(-7). Let p(t) be the first derivative of 3/20*t**4 + 8/5*t + 4 + 14/15*t**3 + k*t**2. Factor p(w).
(w + 2)**2*(3*w + 2)/5
Suppose -8*m = -13 - 19. Suppose 14*v - 30 = m*v. Factor -20 - 6*b + 13 + 16 - v*b**2.
-3*(b - 1)*(b + 3)
Suppose 2*m - 31 = -5*t - 8, 4*t - m - 21 = 0. Suppose -21*i - t*c = -18*i - 12, i + 4*c = -3. Suppose 84/5*y**2 - i*y + 6/5 = 0. Calculate y.
1/4, 2/7
Suppose 3*q - 1595 = -1550. Suppose q*f + 13*f = 17*f. Find g such that 3/5*g**2 + 0*g + 3/5*g**4 + 6/5*g**3 + f = 0.
-1, 0
Let i be ((-11)/22)/(10*(-175)/26000). Factor -338/7 - 2/7*x**2 + i*x.
-2*(x - 13)**2/7
Let r(i) be the third derivative of -i**6/40 - 2*i**5/5 + 175*i**4/8 + 187*i**3 + 5973*i**2. Find o, given that r(o) = 0.
-17, -2, 11
Let l(f) = f**3 + 14*f**2 - 49*f - 3. Let r be l(3). Let c(w) be the first derivative of w**2 + 0*w - 9 + 1/18*w**4 - 4/9*w**r. Let c(d) = 0. What is d?
0, 3
Let j(u) = u**3 + 14*u**2 - 14*u + 21. Let w be j(-15). Suppose -w*d = -d - 735. What is t in 3*t**5 + 11*t**4 - t**4 + 7*t**3 + 143*t**2 - 4*t - d*t**2 = 0?
-2, -1, 0, 2/3
Let g = 252 + -528. Let x be (-20)/(-6)*(-207)/g. Suppose -x*l + 1/4 - 9*l**3 + 33/4*l**2 = 0. Calculate l.
1/4, 1/3
Let l = -4545288229/2457 + 1849934. Let u = -1/189 - l. Factor u*o**3 - 36/13 - 6/13*o + 8/13*o**2.
2*(o - 2)*(o + 3)**2/13
Find i such that 3042/5 - 156/5*i + 2/5*i**2 = 0.
39
Let h(l) = -5*l**5 + 2*l**4 - l**3 - 8*l**2 + 16*l + 8. Let n(c) = -14*c**5 + 7*c**4 - 5*c**3 - 23*c**2 + 47*c + 22. Let i(y) = -11*h(y) + 4*n(y). Factor i(t).
-t*(t - 3)*(t - 2)**2*(t + 1)
Let f(t) = 9*t**4 + 5*t**3 + 14*t**2 - 4*t - 32. Let i(q) = 11*q**4 + 7*q**3 + 12*q**2 - 4*q - 32. Let d(u) = -6*f(u) + 5*i(u). Factor d(l).
(l - 2)**2*(l + 1)*(l + 8)
Let v(p) be the second derivative of -p**8/3360 - p**7/168 - p**6/80 - 2*p**3 - 3*p**2 - 13*p - 7. Let h(o) be the second derivative of v(o). Factor h(w).
-w**2*(w + 1)*(w + 9)/2
Let p = 1044 + -593. Suppose -v + p + 2319 = 5*w, -v = 3*w - 1662. Find f such that -554*f - 5*f**2 + w*f + 5*f**3 = 0.
0, 1
Suppose 0 = 2*y + 3*y - 15. Suppose 0 = 2*q + y*l, 0 = 4*q + 4*l - l. Factor q*x + 2/15*x**2 - 2/15.
2*(x - 1)*(x + 1)/15
Let k(i) be the first derivative of i**6/18 + 47*i**5/15 + 41*i**4/4 - 391*i**3/9 + 110*i**2/3 - 4103. Suppose k(r) = 0. What is r?
-44, -5, 0, 1
Let s(p) be the third derivative of -1/12*p**5 - 58*p**2 + 0*p + 15/2*p**3 + 0*p**4 + 0. Factor s(t).
-5*(t - 3)*(t + 3)
Let w be (-12)/5*(-26 + (24 - 8)). Let p(q) be the first derivative of -3*q**4 - 32/3*q**3 + 16*q + 7/5*q**5 + w*q**2 - 35. Factor p(l).
(l - 2)**2*(l + 2)*(7*l + 2)
Let f(t) be the third derivative of -t**6/450 - t**5/60 - t**4/20 + 11*t**3/3 - 77*t**2. Let h(g) be the first derivative of f(g). What is x in h(x) = 0?
-3/2, -1
Let t(h) be the first derivative of -8/5*h**5 - 10/3*h**6 + 0*h**3 + 0*h**2 + 0*h + 0*h**4 + 35. Factor t(w).
-4*w**4*(5*w + 2)
Suppose 4*p - 2*k = -p + 13, k = p + 1. Let d(u) be the third derivative of 0*u + 21*u**2 + 125/6*u**3 + 0 + 1/12*u**p - 25/12*u**4. Factor d(h).
5*(h - 5)**2
Suppose 5*i = 4*y - 713, -148 = i - 5*y - 18. Let f be (-3)/(-20) + (-87)/i. Let f*r**2 + 75/4 + 15/2*r = 0. What is r?
-5
What is p in 0*p - 10/7*p**3 - 8/7*p**2 + 0 - 2/7*p**4 = 0?
-4, -1, 0
Determine b so that -1020 + 45*b**4 - 124*b**4 + 2184*b + 36*b**4 - 213*b**3 + 46*b**4 - 708 - 246*b**2 = 0.
-4, 1, 2, 72
Factor -3/5*f + 0 - 1/5*f**3 - 4/5*f**2.
-f*(f + 1)*(f + 3)/5
Let z(f) be the third derivative of f**6/30 + 74*f**5/15 + 154*f**4 - 11760*f**3 + 3257*f**2. Let z(d) = 0. What is d?
-42, 10
Let g(b) be the first derivative of -4*b**3/27 + 608*b**2/9 - 92416*b/9 - 744. Determine k so that g(k) = 0.
152
Let r = 220427/11 + -20053. Let x = -692/55 - r. Factor 0 + 4/5*u**2 + x*u - 4/5*u**3.
-4*u*(u - 2)*(u + 1)/5
Suppose 74*f - 1160 = 66*f. Suppose -27*x = -f + 10. Determine r so that 0*r + 2/3*r**3 - 8/3*r**2 + 8/3*r**4 + 0 - 2/3*r**x = 0.
-1, 0, 1, 4
Factor 854931*o - 856767*o + 3*o**4 + 5*o**2 + 235*o**3 + 224*o**3 - 17*o**2.
3*o*(o - 2)*(o + 2)*(o + 153)
Let -1/4*f**2 - 23/2 - 25/4*f = 0. What is f?
-23, -2
Let d(c) = -c**3 + 12*c - 3. Let z be d(-3). Let j be z/(-15)*2*(-15)/(-12). Suppose -4/11*n - 2/11 - 8/11*n**3 + 14/11*n**j = 0. Calculate n.
-1/4, 1
Factor 2/7*u**4 + 90738/7 - 180624/7*u + 848/7*u**3 + 89036/7*u**2.
2*(u - 1)**2*(u + 213)**2/7
Suppose -39*c = 18*c + 5*c + 14*c. Let r(s) be the third derivative of 0*s**4 + 1/40*s**5 + 0*s + 17*s**2 + 0*s**3 + c. Find v such that r(v) = 0.
0
Let q = -7224