q(12). Suppose -n*i + 4*i = 0. Let 3/5*k**3 + 0*k + 0 + i*k**2 + 3/5*k**4 = 0. What is k?
-1, 0
Let s = -61 - -61. Let k be (2/4*s)/(130/65). Suppose 2/3*t**2 + k*t**4 + 4/3*t**3 - t - 2/3 - 1/3*t**5 = 0. What is t?
-1, 1, 2
Let c be (9/(-75))/(5/(-25)). Let r(u) be the first derivative of 9/4*u**4 - 9/2*u**2 - 1 + c*u**5 + u**3 - 6*u. Let r(o) = 0. What is o?
-2, -1, 1
Suppose 5*c = 16*c - 7*c. Let k(j) be the second derivative of -5/7*j**3 + 3*j - 1/6*j**4 - 1/70*j**5 + c - 9/7*j**2. Suppose k(z) = 0. Calculate z.
-3, -1
Let b(v) be the first derivative of v**5/30 + v**4/9 + 9*v + 12. Let q(a) be the first derivative of b(a). Find t, given that q(t) = 0.
-2, 0
Let b(i) = 18*i**2 + 180*i - 57. Let o(p) = -19*p**2 - 181*p + 56. Let k(j) = -2*b(j) - 3*o(j). Find s such that k(s) = 0.
-9, 2/7
Suppose 0 = -2*s - 10, 0*j - 3*j + 64 = -5*s. Let i = -10 + j. Suppose 0*k**5 - 5*k**i + 6*k**4 - k**3 + 10*k**5 + 2*k**3 = 0. Calculate k.
-1, 0, 2/5
Factor 4*t**3 + t**4 + 2*t**5 + 2*t**5 + 7*t**4.
4*t**3*(t + 1)**2
Let p be (-210)/(-27) - 4/(-18). Let t be 4/18 - (-241)/9. Factor p*c**4 + 7*c**4 + 4*c**5 - 5*c**5 + 4*c**5 + 21*c**2 + t*c**3 + 6*c.
3*c*(c + 1)**3*(c + 2)
Let j(r) = -4*r**3 - r**2. Let w(x) = 95*x**3 + 70*x**2 + 245*x + 195. Let i(a) = 25*j(a) + w(a). Solve i(l) = 0.
-3, -1, 13
Factor -10 - 5/6*g + 5/6*g**2.
5*(g - 4)*(g + 3)/6
Let v = 67 - 64. Let g(p) be the third derivative of -1/2*p**v - 3*p**2 + 0*p - 1/40*p**5 + 0 + 3/16*p**4. Suppose g(r) = 0. Calculate r.
1, 2
Determine j so that 132*j + 90 + 242/5*j**2 = 0.
-15/11
Let t = 27195/4 + -6786. Find j, given that t*j**3 + 27/2*j**4 + 15/4*j**5 - 3*j + 0*j**2 + 0 = 0.
-2, -1, 0, 2/5
Let d(f) be the third derivative of 1/8*f**4 - 1/40*f**6 - 17*f**2 + 0 - 1/10*f**5 + 0*f + f**3. Factor d(h).
-3*(h - 1)*(h + 1)*(h + 2)
Let z(u) be the first derivative of -u**7/7980 - u**6/1710 + u**5/1140 + u**4/114 + 13*u**3/3 - 12. Let o(a) be the third derivative of z(a). Factor o(d).
-2*(d - 1)*(d + 1)*(d + 2)/19
Suppose -7*x = -2*x - 15. Let i be 1/3 + 14/x. Let 2*o**3 - 8*o**3 + i*o**2 - 2*o**3 + 18*o + o**2 + 4 = 0. Calculate o.
-1, -1/4, 2
Let l(m) be the second derivative of 0 + 13*m + 2/39*m**3 + 3/13*m**2 - 1/78*m**4. Suppose l(t) = 0. Calculate t.
-1, 3
Let t = -115393/15 - -7696. Let c = -9/5 + t. Factor 0 - c*y**2 + 14/3*y**3 + 0*y.
2*y**2*(7*y - 2)/3
Let x(v) = -2*v - 2. Let y(l) = 2*l**5 - 12*l**4 - 2*l**3 + 12*l**2 + 12*l + 12. Let t(r) = -6*x(r) - y(r). Find j, given that t(j) = 0.
-1, 0, 1, 6
Let b(n) be the first derivative of -5*n**6/39 + 24*n**5/65 - 9*n**4/26 + 4*n**3/39 - 202. Determine c, given that b(c) = 0.
0, 2/5, 1
Let f(x) = -x**4 - 6*x**3 + 3*x**2 - 4*x. Let w(q) = q**3 - q**2 + q. Let u = -40 - -41. Let l(v) = u*f(v) + 4*w(v). Find a, given that l(a) = 0.
-1, 0
Let w(s) be the first derivative of 6/11*s + 3 - 2/33*s**3 + 2/11*s**2. Suppose w(u) = 0. Calculate u.
-1, 3
Let z = 5 - 3. Factor -6*x**4 + 11*x**2 - 3*x**z - 20 + x**4 + 10*x**3 - 20*x + 7*x**2.
-5*(x - 2)**2*(x + 1)**2
Let v(w) be the second derivative of w**5/4 - 5*w**3/2 - 5*w**2 + 84*w. Find d, given that v(d) = 0.
-1, 2
Let s = 4 + -2. Suppose 11*w - 41*w = -60. Factor w*o**s + o**2 - 4*o + 10*o - 3*o**3.
-3*o*(o - 2)*(o + 1)
Let h(i) be the second derivative of i**5/20 - 2*i**4/3 + 7*i**3/6 + 5*i**2/2 + i. Let j be h(7). What is g in -g**2 - j*g**2 + 6 + 3*g**2 + 6*g + 3 = 0?
-1, 3
Let k = -3509/15 + 234. Let j(y) be the third derivative of -8/9*y**3 + 1/3*y**4 + 0*y + 0 - k*y**5 - 3*y**2 + 1/180*y**6. Factor j(v).
2*(v - 2)**3/3
Let m(b) = b**2 - 181*b - 171. Let u(j) = 36*j + 34. Let n(p) = -4*m(p) - 22*u(p). Factor n(g).
-4*(g + 1)*(g + 16)
Let c be -3 + 4 - (-2)/(-2). Suppose c*z - 3*z = -21. Solve -5 + 2*n - n**3 - 2*n**2 - n + z + 0*n = 0.
-2, -1, 1
Let g = -153 - -1381/9. Let k = 86/19 - 356/171. Find t, given that g + 28/9*t**2 - k*t = 0.
2/7, 1/2
Factor -12*k**2 + 192 - 5*k - 3*k**2 - 5*k**3 - 5*k - 192.
-5*k*(k + 1)*(k + 2)
Let g = 9 - 14. Let l = -3 - g. Factor d**l + d**2 + 14 - 14.
2*d**2
Suppose 25*z - 25*z + 147 + 3*z**3 - 51 - 4*z**4 - 15*z**3 + 112*z + 24*z**2 = 0. Calculate z.
-2, 3
Let f be 0 + 1/4*(3 + 5 + -6). Let -f*r**3 - 1/2*r**2 + 1/2 + 1/2*r = 0. Calculate r.
-1, 1
Let q(l) = 8*l**2. Let j(a) = 9*a**2 + a. Let p(m) = -4*j(m) + 5*q(m). Determine c, given that p(c) = 0.
0, 1
Let i be 0/16 - (-2)/14 - 4/28. Let j = -8 + 11. Factor 0 - a**5 - a**j + 5/2*a**4 + 0*a + i*a**2.
-a**3*(a - 2)*(2*a - 1)/2
Find t, given that -17/2*t - 15 - 1/2*t**2 = 0.
-15, -2
Determine y, given that -48 - 168*y + 49*y**2 - 195*y**2 - 99*y**2 - 3*y**5 - 129*y**3 + 26*y**2 - 33*y**4 = 0.
-4, -1
Let z(m) be the first derivative of m**7/1260 + m**6/144 + m**5/120 - 5*m**4/144 - m**3/9 + 11*m**2 - 9. Let p(g) be the second derivative of z(g). Factor p(i).
(i - 1)*(i + 1)**2*(i + 4)/6
Let r(y) be the second derivative of 3/40*y**5 + 7*y + 0 + 1/4*y**3 + 1/4*y**4 + 0*y**2. Determine n, given that r(n) = 0.
-1, 0
Let m = 55 - 40. Factor 16*y**2 + m*y - 5*y**3 + 11 - 11 - 6*y**2.
-5*y*(y - 3)*(y + 1)
Let f(u) be the second derivative of 0 + 4*u**3 - 3/2*u**4 - 4*u**2 - 3*u. Factor f(q).
-2*(3*q - 2)**2
Solve 54/13*k**2 + 2/13*k**4 - 18/13*k**3 - 54/13*k + 0 = 0 for k.
0, 3
Suppose 0*y = -5*y - 140. Let g = y + 30. What is i in 0*i + 2/9*i**g + 0 - 8/9*i**3 = 0?
0, 1/4
Let b(o) = -1. Let i(g) = -17*g + 2 + 5*g**2 - g**2 + 6*g - 3*g. Let n(r) = -4*b(r) + i(r). Factor n(l).
2*(l - 3)*(2*l - 1)
Let s = -34351 + 34353. Factor -4/3*u - s + 2/3*u**2.
2*(u - 3)*(u + 1)/3
Let w(j) = j**3 - 6*j**2 + 2*j - 8. Let y be w(6). Let k be (4 - (-180)/(-42))/((-1)/7). Factor k*l**4 + 0*l**4 + 1 + y*l - 4*l**3 - 3.
2*(l - 1)**3*(l + 1)
Let -12 + 2*r**5 - 4*r**3 + 8*r - r**5 - 11*r**3 + 3*r**4 + 2*r**5 - 3*r**2 + 16*r = 0. Calculate r.
-2, 1
Let u(j) be the second derivative of -3*j**7/14 + 11*j**6/10 - 27*j**5/20 - 7*j**4/4 + 6*j**3 - 6*j**2 + 269*j. Find v such that u(v) = 0.
-1, 2/3, 1, 2
Let l = -204 - -210. Suppose -9*x + 6 = -l*x. Factor -3/2*o - 3/4*o**x - 3/4.
-3*(o + 1)**2/4
Let r(l) = -l**3 - 10*l**2 + 15*l + 16. Let g be r(-11). Let z = g - -40. Factor z*q**2 - 12*q**4 + 4*q**5 + 8*q**3 - 8*q - 3*q**3 - q**3.
4*q*(q - 2)*(q - 1)**2*(q + 1)
Let j = -16 - -18. Let k(i) = 3*i - 2. Let y be k(j). Suppose y*t**3 - 6*t**3 - 6 - t**3 + 9*t = 0. What is t?
-2, 1
Let n(h) be the third derivative of h**7/1785 - 7*h**6/1020 - h**5/17 - h**4/51 + 40*h**3/51 + 251*h**2. Find l, given that n(l) = 0.
-2, 1, 10
What is g in -222815*g**5 + 222820*g**5 + g**4 + 4*g**4 = 0?
-1, 0
Let t(z) be the second derivative of z**8/5880 + z**7/1470 + z**6/1260 + 3*z**3/2 + 8*z. Let c(q) be the second derivative of t(q). Factor c(o).
2*o**2*(o + 1)**2/7
Let b(z) be the first derivative of z**6/450 - z**5/600 + 11*z**3/3 - 18. Let u(v) be the third derivative of b(v). Solve u(f) = 0.
0, 1/4
Let x(d) = -30*d**3 - 90*d**2 + 85*d. Let r(v) = -5*v**3 - 15*v**2 + 14*v. Let s(t) = -35*r(t) + 6*x(t). Suppose s(c) = 0. What is c?
-4, 0, 1
Let k(h) = -8*h**3 + 16*h - 1 - 4*h**2 + h**2 - 4*h**2 + 4*h**2. Let m(x) = 39*x**3 + 15*x**2 - 81*x + 6. Let f(z) = 21*k(z) + 4*m(z). Factor f(i).
-3*(i - 1)*(i + 1)*(4*i + 1)
Suppose -108*z + 35*z = -32*z - 31*z. Find n, given that -3/5*n**4 + z*n**2 + 0*n + 1/5*n**3 + 0 = 0.
0, 1/3
Let u be (-9)/(-27) - ((-348)/(-45) + -9). Solve 1/5*j**4 + 6/5*j**3 + u*j**2 - 6/5*j - 9/5 = 0 for j.
-3, -1, 1
Let l(k) = -4*k**2 - 136*k + 2. Let b be l(-34). Factor 0 + j**b + j**3 + 2/9*j.
j*(3*j + 1)*(3*j + 2)/9
Let w = 9113/4 + -2278. Let u(b) be the second derivative of 0*b**2 - 9*b + 5/12*b**4 + w*b**5 + 0 + 0*b**3. Factor u(o).
5*o**2*(o + 1)
Let j(x) be the second derivative of 3/20*x**5 + 1/4*x**3 + 5/16*x**4 + 1/40*x**6 + 0 + 5*x + 0*x**2. Factor j(g).
3*g*(g + 1)**2*(g + 2)/4
Let u(t) be the second derivative of -3/32*t**4 + 1/16*t**3 + 9/160*t**5 - 1/80*t**6 + 0 + 11*t + 0*t**2. Determine i, given that u(i) = 0.
0, 1
Find y, given that -4 + 6*y**2 + 5 - 7 + 37*y - 23*y - 14*y**3 = 0.
-1, 3/7, 1
Let o(j) be the first derivative of -2*j**5/85 + j**4/34 + 2*j**3/17 - 5*j**2/17 + 4*j/17 - 227. Find k, given that o(k) = 0.
-2, 1
Let v(w) be the second derivative of -w**5/100 + 3*w**4/10 - 27*w**3/10 + 15*w. Factor v(c).
-c*(c - 9)**2/5
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