t b(w) = 21*w**2 - 19*w + 3. Suppose -3*f + 3 = 24. Let d(i) = -31*i**2 + 29*i - 5. Let l(r) = f*b(r) - 5*d(r). Factor l(q).
4*(q - 1)*(2*q - 1)
Let v(u) be the second derivative of u**7/15120 - u**6/864 - u**5/120 + u**4/4 - 18*u. Let c(z) be the third derivative of v(z). Factor c(d).
(d - 6)*(d + 1)/6
Let k(q) = -q**2 + 11*q + 135. Let a be k(18). Let d(w) be the first derivative of 0*w**5 - 1/5*w**4 + 0*w**3 + 1/15*w**6 + 0*w - a + 1/5*w**2. Factor d(p).
2*p*(p - 1)**2*(p + 1)**2/5
Let h(r) be the first derivative of -r**7/945 + r**6/540 + r**5/270 - r**4/108 - 5*r**2/2 + 9. Let c(b) be the second derivative of h(b). Solve c(o) = 0 for o.
-1, 0, 1
Let j be (-8)/(-1)*1 + 4192/(-917). Find d, given that -27/7*d**5 + 6*d**3 - 45/7*d**4 + 36/7*d**2 - j*d + 0 = 0.
-2, -1, 0, 2/3
Let r(q) be the first derivative of 10/3*q**3 - 6 - 2*q**2 + 0*q - 2/5*q**5 - 3/2*q**4 + 1/3*q**6. Find d, given that r(d) = 0.
-2, 0, 1
Let j(u) = -u**3 - 3*u**2 + 3*u - 6. Let l be j(-4). Let b be 3 + 135/(-21) - l*2. Factor -b*g + 2/7*g**2 + 2/7.
2*(g - 1)**2/7
Let j = -6 - -5. Let v = 2 + j. Let n(z) = z**3 + z + 1. Let t(x) = -2*x**2 + 1. Let w(b) = v*t(b) - n(b). Factor w(d).
-d*(d + 1)**2
Suppose 0 = 4*j + 5*q, -12 = -4*j - 2*q - 0*q. Let f be 3/(6/2) + 1. Factor w**3 + 4*w**f - w**2 + 6*w**3 - j*w**2.
w**2*(7*w - 2)
Let y(a) = a**2 + 40*a - 105. Let v(d) = 2*d**2 + 40*d - 106. Let w = -23 + 23. Let z be (-4 - -4) + (6 - w). Let b(q) = z*y(q) - 5*v(q). Factor b(o).
-4*(o - 5)**2
Suppose -5*g = -1 - 39. Find r such that -r**3 + 15*r + 40*r + 6*r**3 - 22 - g - 30*r**2 = 0.
1, 2, 3
Let g(c) be the second derivative of c**4/3 + 2*c**3/3 - 4*c**2 + 90*c. Factor g(x).
4*(x - 1)*(x + 2)
Let w(t) = -t**2 - 14*t + 88. Let x be w(-21). Let i = x - -178/3. Solve -b**2 - b**3 - 1/3*b - i*b**4 + 0 = 0.
-1, 0
Let i(t) be the third derivative of t**6/720 + t**5/20 - t**4/144 - t**3/2 + 9*t**2 - 20*t. Determine r, given that i(r) = 0.
-18, -1, 1
Let z be (-10)/(-35) - 1161/21. Let p(i) = 5*i**2 - 6*i - 6. Let c(v) = -45*v**2 + 55*v + 55. Let o(k) = z*p(k) - 6*c(k). Factor o(s).
-5*s**2
Let m(i) = 3*i**2 - 18*i - 21. Let k(w) = w + 1. Let x(t) = -12*k(t) - m(t). Factor x(f).
-3*(f - 3)*(f + 1)
Let u be -1 + (29/(-30) - (5 - 7)). Let t(h) be the first derivative of -3 + 1/20*h**4 + u*h**6 + 0*h - 1/5*h**2 - 1/5*h**3 + 3/25*h**5. Factor t(c).
c*(c - 1)*(c + 1)**2*(c + 2)/5
Let j(n) = n**3 - n**2 - n - 1. Let o(y) = -20*y**3 + 20*y**2 + 20*y + 30. Suppose -8*u - 125 = -13*u. Let w(g) = u*j(g) + o(g). Factor w(k).
5*(k - 1)**2*(k + 1)
Let g be 6/(-5) - (294/10)/(-21). Factor 0*h - g*h**2 + 4/5.
-(h - 2)*(h + 2)/5
Let l(p) be the first derivative of 5*p**4/4 - 70*p**3/3 + 114. Solve l(h) = 0.
0, 14
Let w(p) = 2*p**2 + 18*p - 29. Let z be w(-11). Suppose i = 2*c, -33*c + 38*c - z = -5*i. Solve 0 - 2/3*s**i + 2*s = 0.
0, 3
Suppose 6*n - 5*n = 0. Suppose -3 = -3*z + v, n = -5*z + 3*v + 2*v - 5. Factor i**3 + 4*i**2 - 3*i**z + 0*i**3.
i**2*(i + 1)
Suppose 4*h = 6 + 2. Let k = 540 - 534. Let q(m) = m**3. Let z(p) = 54*p**5 + 162*p**4 + 177*p**3 + 92*p**2 + 22*p + 2. Let u(f) = h*z(f) + k*q(f). Factor u(o).
4*(o + 1)**2*(3*o + 1)**3
Suppose -2*h - 1 = q - 19, 0 = q - h - 3. Suppose 2*l - f - 4 = 0, -l - 3*f + 8 + q = 0. Find z, given that -5*z**4 - 8*z**3 - 7*z**l + 4*z**2 + 16*z**4 = 0.
0, 1
Factor -7889*i - 2*i**3 - 15*i**4 + 3*i**5 + 15*i**2 + 7907*i - 19*i**3.
3*i*(i - 6)*(i - 1)*(i + 1)**2
What is t in -52*t + 30 + 118*t**2 + 3*t**4 - 43*t**2 - 27*t**3 - 29*t = 0?
1, 2, 5
Find c, given that 0 - 262/9*c**3 - 2/9*c**4 + 530/9*c**2 - 266/9*c = 0.
-133, 0, 1
Solve 2/13*n**5 - 4/13*n**3 + 0 - 2/13*n**4 + 0*n + 0*n**2 = 0 for n.
-1, 0, 2
Let k(w) = 3*w**2 - 34*w - 35. Let u be k(15). Let -4*i**3 + 15*i**4 - u*i**5 + 14*i**3 + 135*i**5 = 0. What is i?
-2, -1, 0
Find x, given that 387*x**2 - 195*x**2 - 30*x - 197*x**2 = 0.
-6, 0
Let q be (2/(-4))/((-2)/12). Let u(k) = 7*k**2 + k + 10. Let r(t) = t**2 + 1. Let o(h) = q*u(h) - 24*r(h). Factor o(j).
-3*(j - 2)*(j + 1)
Let k(h) be the second derivative of -h**5/10 + h**4/6 + 4*h**3/3 - 4*h**2 + h + 9. Let k(a) = 0. Calculate a.
-2, 1, 2
Let f(s) be the third derivative of -s**6/480 + s**5/240 + 7*s**4/32 - 15*s**3/8 + 72*s**2. Determine d, given that f(d) = 0.
-5, 3
Let i be ((-46)/8 - -5)/((-430)/(-64) - 7). Factor -4*f**2 - i - 2/3*f**3 - 6*f.
-2*(f + 1)**2*(f + 4)/3
Let i(f) = 6*f**3 - 10*f**2 + 34*f - 46. Let d(a) = -a**3 + 2*a**2 - 7*a + 9. Let g be ((-4)/3)/((-1)/12). Let t(p) = g*d(p) + 3*i(p). Factor t(r).
2*(r - 1)**2*(r + 3)
Let b be 92/(-20) - -3 - -2. Let a = -135 - -137. Determine x so that -2/5*x**a + b*x**3 + 0*x + 0 = 0.
0, 1
Let f(i) be the third derivative of -15*i**2 + 0 + 1/1365*i**7 - 1/390*i**5 - 1/78*i**4 + 1/390*i**6 + 0*i**3 + 0*i. Suppose f(t) = 0. Calculate t.
-2, -1, 0, 1
Let w(o) be the third derivative of 9/80*o**5 + 0 + 1/8*o**3 - 5/32*o**4 + 0*o + 1/140*o**7 - 26*o**2 - 7/160*o**6. Find a, given that w(a) = 0.
1/2, 1
Let i(t) = -3*t - 25. Let u be i(-8). Let j be 3 + ((-1)/u)/(-1). Factor 0 + 1/5*d**3 + 2/5*d - 3/5*d**j.
d*(d - 2)*(d - 1)/5
Let i(l) be the first derivative of -5*l**3/9 - 380*l**2/3 - 28880*l/3 + 53. Let i(g) = 0. What is g?
-76
Let m(f) be the first derivative of -f**2 - 11 + 1/6*f**3 + 2*f. Factor m(b).
(b - 2)**2/2
Let v(a) = -a**2 + 4*a. Let n be v(4). Suppose n*s = 5*s - 10. Solve -4*g**2 + 7*g**2 + 2 + 3*g**2 - 8*g + 2*g - s*g**3 = 0.
1
Let l(r) be the first derivative of 0*r**2 + 16*r - 4/3*r**3 - 12. Factor l(u).
-4*(u - 2)*(u + 2)
Let u = -593314 + 6521135/11. Let d = u + 485. Suppose -12/11*s**2 + 2/11*s**3 + 24/11*s - d = 0. What is s?
2
Let k(x) be the first derivative of x**8/1680 - x**7/840 - x**6/90 + x**5/30 - x**3 - 26. Let c(d) be the third derivative of k(d). Factor c(u).
u*(u - 2)*(u - 1)*(u + 2)
Let o(d) be the first derivative of -d**5/5 - 27*d**4/4 - 25*d**3 - 73*d**2/2 - 24*d + 260. Factor o(q).
-(q + 1)**3*(q + 24)
Let y(b) be the third derivative of 5*b**8/224 - 3*b**7/140 - 2*b**6/5 - 3*b**5/10 + 3*b**2 - 45. Solve y(z) = 0.
-2, -2/5, 0, 3
Let w(q) = q**2 + 2 - 8 - q + 5. Let g(p) = -3*p**3 - 9*p**2 + 9*p + 9. Let d(b) = g(b) + 6*w(b). Find j such that d(j) = 0.
-1, 1
Factor 26569/5 + 1/5*n**2 + 326/5*n.
(n + 163)**2/5
Let g be (-1)/(-12)*(-3)/6*22. Let l = 5/4 + g. Factor -1 - 2/3*m + l*m**2.
(m - 3)*(m + 1)/3
Let t(o) = 5*o**2 + 12*o + 7. Let x(w) = w + 7 + 2 - 8. Let q(c) = -t(c) + 2*x(c). Suppose q(g) = 0. What is g?
-1
Let i(u) = -10*u**3 + 4*u**2 + 26*u + 1. Let q(k) = 2*k**3 - k**2 - 5*k. Let y(d) = 2*i(d) + 11*q(d). Factor y(b).
(b - 2)*(b + 1)*(2*b - 1)
Let l = 4284 - 12847/3. Suppose l*s**5 + 10/3*s**3 + 20/3*s**4 - 5*s - 20/3*s**2 + 0 = 0. What is s?
-3, -1, 0, 1
Let z = -55 + 54. Let g be (-4)/(-4)*z - -4. Factor 0 - 1/4*v**g + 1/2*v + 1/4*v**2.
-v*(v - 2)*(v + 1)/4
Let i(w) be the first derivative of -1/1260*w**6 + 7 + 0*w**2 - 1/140*w**5 + 0*w**4 + 0*w - 8/3*w**3. Let m(d) be the third derivative of i(d). Factor m(l).
-2*l*(l + 3)/7
Let c = 1748 - 29696/17. Let u = -163/153 + c. Factor u*n**4 + n**2 - 7/9*n - 5/9*n**3 + 2/9.
(n - 2)*(n - 1)**3/9
Factor -13718 + 11*k**2 - 125*k**2 - 2373*k**3 + 2166*k + 2375*k**3.
2*(k - 19)**3
Let o be 0 - (1 + (-310)/150). Factor -8/15*y + o*y**2 + 2/3*y**3 + 0.
2*y*(y + 2)*(5*y - 2)/15
Let x be (-10849)/(-1197) + -3 + (-6)/(-27). Factor -x*t + 242/7 + 2/7*t**2.
2*(t - 11)**2/7
Let s(t) be the third derivative of -t**8/1680 - t**7/175 + 11*t**6/600 + t**5/5 - 5*t**4/6 - 6*t**2. Suppose s(p) = 0. Calculate p.
-5, 0, 2
Let x = -3957 + 3960. Let 2/3*j**5 - 2/3*j**4 - 2/3*j**x + 0*j + 2/3*j**2 + 0 = 0. What is j?
-1, 0, 1
Determine o, given that 0 - 6/7*o**3 + 2/7*o**4 - 2/7*o + 6/7*o**2 = 0.
0, 1
Let h = 45 - 19. Suppose h = 4*v + 2. Determine t so that -13*t**2 + 2*t + v*t**2 + 4*t**3 - 2*t**3 - 6*t**3 = 0.
-2, 0, 1/4
Let p(j) be the third derivative of j**7/3780 + j**6/540 + 7*j**4/12 - 20*j**2. Let w(y) be the second derivative of p(y). Factor w(s).
2*s*(s + 2)/3
Let u = 214 - 209. Let b(o) be the second derivative of 7/180*o**6 + 19/120*o**u + 0 - 6*o + 0*o**2 + 1/9*o**4 - 1/9*o**3. Factor b(s).
s*(s + 1)*(s + 2)*(7*s - 2)/6
Let x(w) be the third derivative of 2*w**9/2079 - w**8/1155 - w**7/660 - w**6/1980 + 11*w**3/6 + 