et i(a) = a**2 + 9*a - 48. Let r be i(-13). Suppose h + r*p = 11, 0*p = -3*h - 2*p + 13. Let 0 + 1/3*q**h - 1/3*q - 1/3*q**2 + 1/3*q**4 = 0. What is q?
-1, 0, 1
Let f be 2 - (-69)/(-156) - 1885/1508. What is m in 6/13*m - 2/13*m**3 + 0*m**2 + f = 0?
-1, 2
Suppose -5*o = -8*o. Suppose o*n**3 - 2*n**2 - n - 3*n**3 + 2*n**3 + 4*n = 0. What is n?
-3, 0, 1
Let w(i) be the second derivative of -i**6/90 + 2*i**5/15 + i**4/12 - 13*i**3/9 + 8*i**2/3 - 2*i - 39. Determine d, given that w(d) = 0.
-2, 1, 8
Let o be -3 - (0 + 22)/(-1). Suppose -4*j - 3*z = 1, -4 = -5*z - o. Determine q so that 1 + 3*q + j*q**4 - 4*q**3 + 1 + q - 4 = 0.
-1, 1
Let t = 1915 - 13404/7. Let a(q) = -q**3 - 4*q**2 - 3*q + 4. Let o be a(-3). Determine x so that 0*x + 0 - 1/7*x**2 + t*x**o + 0*x**3 = 0.
-1, 0, 1
Solve 0 - 2/15*j**2 + 6/5*j**3 + 2/15*j**4 - 6/5*j = 0.
-9, -1, 0, 1
Let x(c) be the third derivative of 7*c**5/330 - 17*c**4/44 + 14*c**3/33 + 7*c**2 - 2. Suppose x(j) = 0. Calculate j.
2/7, 7
Factor 24/7 + 0*b - 6/7*b**2.
-6*(b - 2)*(b + 2)/7
Suppose 8*n = 196 - 196. Let z(f) be the first derivative of 0*f**3 + 1/4*f**4 - 1/2*f**2 + n*f + 3. Factor z(p).
p*(p - 1)*(p + 1)
Let m(a) = 11*a + 58. Let u be m(-13). Let g be u/51*4/(-30). Factor 0 + 2/9*l**2 + g*l.
2*l*(l + 1)/9
Let s(z) = -20*z**4 - 230*z**3 - 445*z**2 - 280*z - 15. Let m(h) = -3*h**4 - 33*h**3 - 64*h**2 - 40*h - 2. Let t(i) = -15*m(i) + 2*s(i). Factor t(b).
5*b*(b + 1)*(b + 2)*(b + 4)
Let v(l) = -2*l**3 - 2*l**2 + 2. Let s(f) = 15*f**3 + 30*f**2 - 36*f - 14. Let p(r) = 2*s(r) + 14*v(r). Determine y so that p(y) = 0.
-18, 0, 2
Let r(l) = -l - 3. Let p be (23 + -21)/((-4)/10). Let q be r(p). Determine w so that -5*w**4 - 5*w**5 + 3*w**2 + 5*w**3 - 2*w**q + 10*w**3 + 4*w**2 - 10*w = 0.
-2, -1, 0, 1
Let d be (-3 + -1)*636/(-4664). Factor -2/11*j**2 - d*j - 4/11.
-2*(j + 1)*(j + 2)/11
Let z = -6 - -8. Suppose 3*p - 5 = -f + 3, 8 = -z*f. Determine u, given that -4/9*u**2 - 2/9*u**p - 10/9*u**3 + 0 + 4/9*u**5 + 0*u = 0.
-1, -1/2, 0, 2
Let x(b) be the third derivative of -b**7/280 - b**6/32 + 21*b**5/80 - 23*b**4/32 + b**3 + 2*b**2 - 25. Factor x(m).
-3*(m - 1)**3*(m + 8)/4
Let s(k) be the second derivative of -k**5/130 + k**4/39 + k**3/39 - 2*k**2/13 - 577*k. Factor s(h).
-2*(h - 2)*(h - 1)*(h + 1)/13
Find y, given that 2 + 31/2*y - 22*y**2 + 9/2*y**3 = 0.
-1/9, 1, 4
Let u be (5 - (-4 + 4)) + -3. Factor -12*q + 4*q**2 - q**2 + q**u.
4*q*(q - 3)
Let d(u) = -57132*u**2 - 798*u + 7. Let x(f) = -6*f - 2. Let v(h) = d(h) + 5*x(h). Find y such that v(y) = 0.
-1/138
Suppose n = -4*i + 915 - 935, n - i - 5 = 0. Determine v, given that -10/3*v**3 - 5/3*v**4 + n - 5/3*v**2 + 0*v = 0.
-1, 0
Let j(r) = 7*r - 39. Let o be j(6). Let -39*d**o - d - 16 + 16*d**4 + 53*d - 12*d**2 - 25*d**3 = 0. What is d?
-1, 1/2, 4
Suppose 0 = 4*y + y - 15. Suppose y*m + 16 = 7*m. Determine r so that 0 - 5*r + r + 1 - 2*r**2 + m*r**3 + 1 = 0.
-1, 1/2, 1
Find q, given that 2/17*q - 30/17*q**2 + 14/17*q**3 + 10/17 + 4/17*q**4 = 0.
-5, -1/2, 1
Let y - 1/3*y**2 + 4/3 = 0. What is y?
-1, 4
Let f(b) be the third derivative of b**6/540 - b**5/270 - b**4/18 + 97*b**2. Factor f(z).
2*z*(z - 3)*(z + 2)/9
Let g(z) be the first derivative of 12 - 7/2*z**4 - 16/7*z**2 + 0*z - 16/3*z**3. Solve g(s) = 0.
-4/7, 0
Let j(t) be the second derivative of -3*t**4/16 - 7*t**3/24 + t**2/4 + 619*t. Factor j(x).
-(x + 1)*(9*x - 2)/4
Let u(q) be the second derivative of 23*q - 1/12*q**7 - 1/2*q**3 - 11/24*q**4 + 0*q**2 + 33/40*q**5 - 3/20*q**6 + 0. Solve u(x) = 0.
-3, -2/7, 0, 1
Let y = -61/16 - -799/176. Let z = y - 37/66. Suppose 1/2*i**3 + 1/3*i**2 + z*i**4 + 0*i + 0 = 0. Calculate i.
-2, -1, 0
Let w = -4 + 10. Suppose -w = -d - 2*d. Find m, given that 12 + 2*m**2 + 20*m - 2*m**d - 8*m**2 + 0*m**2 = 0.
-1/2, 3
Let i(j) = -j - 8. Let f be i(-8). Suppose -t - 77 + 79 = f. Solve 2/9 - 2/9*m - 2/9*m**t + 2/9*m**3 = 0 for m.
-1, 1
Let b(o) be the third derivative of 0 + 1/180*o**5 + 0*o**3 + 1/36*o**4 + 12*o**2 + 0*o. Factor b(l).
l*(l + 2)/3
Let u(d) = 4*d**3 + 1272*d**2 - 108375*d + 3070625. Let s(v) = -25*v**3 - 8905*v**2 + 758625*v - 21494375. Let y(g) = -3*s(g) - 20*u(g). Factor y(h).
-5*(h - 85)**3
Factor 8 + 3/5*f - 1/5*f**2.
-(f - 8)*(f + 5)/5
Let f(i) be the first derivative of -9*i**3 + 1005*i**2/2 - 222*i + 141. Let f(z) = 0. Calculate z.
2/9, 37
Let r be ((-30)/(-12))/(10/48). What is p in 3260*p**2 - 3296*p**2 - 4*p + r*p = 0?
0, 2/9
Let r = 211 - 211. Suppose v - 6 + 4 = r. Factor 0*m**v - 2/11*m**5 - 4/11*m**4 - 2/11*m**3 + 0 + 0*m.
-2*m**3*(m + 1)**2/11
Let v(i) = -28*i**2 + 35*i + 17. Suppose 0 = -6*o + 12 + 24. Let k(l) = -9*l**2 + 12*l + 6. Let q(h) = o*v(h) - 17*k(h). Factor q(m).
-3*m*(5*m - 2)
Let d(f) = f**4 - 6*f**3 + 16*f - 6. Let r(s) = -s**3 + 1. Let k(n) = d(n) - 2*r(n). Let m(y) be the first derivative of k(y). Factor m(o).
4*(o - 2)**2*(o + 1)
Factor 2/9*w**4 - 10/9*w**3 + 0*w + 4/3*w**2 + 0.
2*w**2*(w - 3)*(w - 2)/9
Let h(g) = 4*g**4 - 4*g**3 - 8*g**2 + 6*g. Let d(k) = 17*k**4 - 17*k**3 - 32*k**2 + 22*k. Let a(f) = 6*d(f) - 26*h(f). Factor a(w).
-2*w*(w - 2)**2*(w + 3)
Factor 2/13*m**3 + 0 - 12/13*m - 2/13*m**2.
2*m*(m - 3)*(m + 2)/13
Let w(o) be the second derivative of -2*o + 0 + 0*o**2 + 1/15*o**3 - 1/30*o**4. Solve w(d) = 0 for d.
0, 1
Let j = 273 - 866. Let k = j - -6529/11. What is h in -10/11*h**2 + 8/11*h**4 + 6/11*h + 2/11 - k*h**3 = 0?
-1, -1/4, 1
Determine d, given that -121/8*d**5 - 149*d**3 - 649/8*d**4 - 2 - 107*d**2 - 26*d = 0.
-2, -1, -2/11
Let j = 729 - 727. Let a(u) be the third derivative of -1/360*u**5 + 0 - 6*u**j + 0*u - 1/72*u**4 - 1/36*u**3. Factor a(x).
-(x + 1)**2/6
Factor 102*r**3 - 117410 - 103*r**3 - 8748*r - 40054 - 162*r**2.
-(r + 54)**3
Let g(s) be the first derivative of -5*s**3/3 + 20*s**2 + 45*s + 240. Factor g(i).
-5*(i - 9)*(i + 1)
Let s(b) be the third derivative of -3*b**5/140 - b**4/56 + 16*b**2 - 1. Determine z, given that s(z) = 0.
-1/3, 0
Let b(l) = -8*l**2 + 12*l. Let y(g) = g. Let i(c) = -b(c) - 4*y(c). Let w(x) = 9*x**2 - 17*x. Let n(t) = -5*i(t) + 4*w(t). Solve n(o) = 0 for o.
0, 3
Factor 20*c**2 - 38*c**3 + 373*c - 14*c**3 - 118*c**2 - 421*c - 2*c**4.
-2*c*(c + 1)**2*(c + 24)
Let c be -8 - 247/(-91)*3. Factor -1/7*g + 1/7*g**3 - c*g**2 + 0 + 1/7*g**4.
g*(g - 1)*(g + 1)**2/7
Let z = 2827/7075 + 3/7075. Factor z*u - 3/5 + 1/5*u**2.
(u - 1)*(u + 3)/5
Let r be 8 + (-14 - 68/(-11)). Determine m, given that -4/11 + r*m**2 - 2/11*m = 0.
-1, 2
Let i(a) be the third derivative of -a**9/7560 + a**7/420 + a**6/180 + a**4/3 + 12*a**2. Let t(p) be the second derivative of i(p). Solve t(r) = 0 for r.
-1, 0, 2
Let u be (-16)/(-10) + (-12095)/(-2050). Factor 3/4*g**3 - 6*g**2 - u - 57/4*g.
3*(g - 10)*(g + 1)**2/4
Let z(d) = d**3 + d**2 - 10*d. Let y be z(3). Let s(n) = -7*n + 44. Let m be s(y). Let 0 + 1/3*a**m + 0*a = 0. What is a?
0
Let j = -22 - -24. Suppose 0*g = g - 5, -5*p - j*g = -20. Factor 5*d**p - 4*d**2 + 0*d**2 - 6*d - 4*d**2.
-3*d*(d + 2)
Factor -8*l**2 + 27 - 2*l**2 + 9*l**2 + 6*l.
-(l - 9)*(l + 3)
Factor 0 - 34/3*k**2 + 0*k - 2/3*k**3.
-2*k**2*(k + 17)/3
Let f(u) = -4*u**3 + u**2 + 15*u - 12. Let k(d) = 12*d**3 - 4*d**2 - 44*d + 36. Let r(c) = 16*f(c) + 5*k(c). Factor r(w).
-4*(w - 1)**2*(w + 3)
Let c(f) be the third derivative of -f**6/30 + f**5/3 - 2*f**4/3 + 72*f**2 - 2. Determine r so that c(r) = 0.
0, 1, 4
Let z = -185 - -191. Let p(c) be the third derivative of 0*c + 0*c**3 - 1/120*c**z + 1/120*c**5 + 0 + 0*c**4 + 4*c**2 + 1/420*c**7. Let p(u) = 0. Calculate u.
0, 1
Let f be (((-4)/(-14))/(-3 - -1))/(220 + -221). Factor -2/7*z + 0 + 2/7*z**3 + f*z**4 - 1/7*z**2.
z*(z - 1)*(z + 1)*(z + 2)/7
Let l(z) be the third derivative of z**8/6720 - z**7/840 + z**6/240 + z**5/6 + 4*z**2. Let i(x) be the third derivative of l(x). Factor i(a).
3*(a - 1)**2
Let o = -7457 + 22582/3. Let t = o + -70. Let -2/3 + 0*v**2 - v + t*v**3 = 0. Calculate v.
-1, 2
Let f(z) be the second derivative of z**6/6 + 7*z**5/4 + 55*z**4/12 + 25*z**3/6 - 3*z + 19. Find j such that f(j) = 0.
-5, -1, 0
Solve -366*y + 3*y**2 + 216*y + 73 + 74 = 0.
1, 49
Suppose 0*g = -4*g + 8. Suppose -2*y + 16 = g*y. Suppose -l**2 + 4*l**y + 0*l**2 - 3*l**2 - 2*l + 2*l**5 = 0. What is l?
-1, 0, 1
Let t(g) be the third derivative of -2*g**7/735 -