 - 119*c - 1. Let t(d) = -d**4 - d**3 + 2*d**2 - d + 1. Let a(u) = -i(u) - t(u). Suppose a(q) = 0. What is q?
-2, -1, 0, 15
Let g = 90 + -90. Suppose 7*b = 5*b. What is r in b*r - 1/4*r**2 + g = 0?
0
Factor -5/3*l**2 + 8 + 58/3*l.
-(l - 12)*(5*l + 2)/3
Let t(p) = 5*p + 8. Let y be t(-7). Let u = 32 + y. Factor 4*z**2 - 6*z**2 + z + 0*z - u*z.
-2*z*(z + 2)
Let y = -54 + 56. Solve -2*d**3 - 2*d**2 - 2*d + 4*d**y + 3*d**3 - d**2 = 0 for d.
-2, 0, 1
Let i = -7727/2 + 3864. Factor -f**2 - i*f**3 + 1/2*f + 1.
-(f - 1)*(f + 1)*(f + 2)/2
Let f(w) be the second derivative of 0*w**2 + 0*w**3 + 1/170*w**5 - 20*w + 0*w**4 + 0. Factor f(k).
2*k**3/17
Factor 1/4*y**3 - 867/4 + 31/4*y**2 + 187/4*y.
(y - 3)*(y + 17)**2/4
Let v(f) be the second derivative of -f**7/12600 + f**6/900 - 5*f**4/4 - 2*f. Let w(h) be the third derivative of v(h). Factor w(c).
-c*(c - 4)/5
Let o be (-2)/((-52)/16 + 3). Suppose -5*j + 33 - o = 0. Let y(a) = 4*a**3 - 4*a**2 - 5*a + 3. Let w(k) = k**3 + 1. Let d(u) = j*w(u) - y(u). Factor d(l).
(l + 1)**2*(l + 2)
Let f(i) be the second derivative of -i - 39/2*i**6 - 20/3*i**3 + 69/2*i**5 + 0 - 35/3*i**4 + 0*i**2. Determine g, given that f(g) = 0.
-2/13, 0, 2/3
Let c(r) = 2*r**2 + r + 1. Let j be c(-1). Suppose -3 = -3*q + t, -j*q + t + 3*t = 8. Solve 33 + m**2 - 24*m + q*m**2 + 15 = 0 for m.
4
Let u = -24748 - -98993/4. Factor u*b**4 + 0*b**2 + 0*b + 3/2*b**3 - 1/4*b**5 + 0.
-b**3*(b - 3)*(b + 2)/4
Let c = 5777/6 + -1925/2. Factor c*w**3 - 4/3*w**2 - 2/3 + 5/3*w.
(w - 2)*(w - 1)**2/3
Let y = 45918 + -45918. Solve 0*a**3 + y - 2/7*a**4 + 2/7*a**2 + 0*a = 0 for a.
-1, 0, 1
Let z(j) be the third derivative of 0*j - 3*j**2 - 3/2*j**4 + 0 - 27*j**3 - 1/30*j**5. Factor z(r).
-2*(r + 9)**2
Let x(b) = -b**5 + 9*b**4 - 43*b**3 + 60*b**2 - 22*b. Let h(j) = -j**4 + j**3 + j. Let i(o) = 3*h(o) - x(o). Factor i(d).
d*(d - 5)**2*(d - 1)**2
Factor 10*q - 33*q - 4*q**2 + 20 + 16*q + 23*q.
-4*(q - 5)*(q + 1)
Suppose -1082*s + 1073*s = -99. Let t(m) be the first derivative of s - 1/5*m**2 + 4/15*m**3 - 1/10*m**4 + 0*m. Factor t(w).
-2*w*(w - 1)**2/5
Let f be (-6)/(-15)*30/6. Let h(y) = -8*y + y + 4*y - 3*y**f - 3*y. Let l(j) = j. Let g(c) = -h(c) + 3*l(c). Determine a, given that g(a) = 0.
-3, 0
Suppose -65 = -5*f - 5*q, -4*f - 3*q + 22 = -25. Suppose 6*d - 2*d = f. Factor x**2 - 3*x + d*x - x + 0*x**2.
x*(x - 2)
Let b(q) be the third derivative of -q**9/5040 + q**8/2800 + q**7/1400 - q**6/600 - 5*q**3 - 19*q**2. Let d(r) be the first derivative of b(r). Factor d(v).
-3*v**2*(v - 1)**2*(v + 1)/5
Let o(y) be the second derivative of -1/3*y**4 + 7*y + 0*y**2 + 0 + 2/15*y**6 - 2/3*y**3 + 1/5*y**5. Find w such that o(w) = 0.
-1, 0, 1
Suppose 0 = -5*k - 10, j - 226*k + 2 = -229*k. Solve 33/2*o**2 + 5*o**3 + 20*o + 8 + 1/2*o**j = 0 for o.
-4, -1
Let t = 3843 - 42261/11. Factor -t + 6/11*f**3 + 30/11*f - 24/11*f**2.
6*(f - 2)*(f - 1)**2/11
Factor -4*k + 7/2*k**2 + 1/2*k**3 + 0.
k*(k - 1)*(k + 8)/2
Let x = -4/255 - 36967/510. Let m = x + 74. Determine k so that 0 - m*k**2 + 3*k = 0.
0, 2
Factor 147 + 14*p + 1/3*p**2.
(p + 21)**2/3
Factor -2/5*u**2 + 0*u + 2/5*u**4 + 0*u**3 + 0.
2*u**2*(u - 1)*(u + 1)/5
Suppose -46*t + 51*t - 425 = 0. Let v = t + -247/3. Suppose -14/3*y**3 - v + 32/3*y - 10/3*y**2 = 0. What is y?
-2, 2/7, 1
Let f(s) be the second derivative of s**8/1680 - 2*s**7/35 + 12*s**6/5 - 288*s**5/5 + s**4/2 + 5*s. Let j(w) be the third derivative of f(w). Solve j(y) = 0.
12
Suppose 3*m + u = 6*u + 22, 2*u = -3*m - 13. Let i(y) = 2*y + 5. Let j be i(m). Factor -2/7*z + 4/7*z**4 - 10/7*z**j + 8/7*z**2 + 0.
2*z*(z - 1)**2*(2*z - 1)/7
Let g(q) be the first derivative of 9/2*q**4 + 18*q**2 - 12*q - 2 - 13*q**3 - 3/5*q**5. Find h, given that g(h) = 0.
1, 2
Let p(k) be the first derivative of -k**4/20 + 4*k**3/3 + k**2/10 - 4*k - 20. What is n in p(n) = 0?
-1, 1, 20
Suppose -5 + 6 = 14*k - 27. Determine j, given that -1 - 11/5*j - 2/5*j**k = 0.
-5, -1/2
Suppose -b - 4*b + 5*s = -45, 2*s + 13 = b. Let z be (-2)/b + 85/25. Factor -8 + 2*a**z + 10*a - 16*a**2 + 18*a - 18*a**3.
-4*(a + 2)*(2*a - 1)**2
Let h = -851 + 1. Let l be 2/17 + (-240)/h. Factor 2/5*x**2 - l + 2/5*x**3 - 2/5*x.
2*(x - 1)*(x + 1)**2/5
Let o(k) = k**5 + 3*k**4 - 8*k**2 - 3*k. Let a(i) = -i**5 - 3*i**4 + i**3 + 9*i**2 + 4*i. Let u = -59 + 62. Let h(x) = u*a(x) + 2*o(x). Factor h(t).
-t*(t - 2)*(t + 1)**2*(t + 3)
Let r(q) = -35*q**2 + 155*q + 25. Let t(m) = -3*m**2 + 13*m + 2. Let z = 24 - -1. Let h(w) = z*t(w) - 2*r(w). Factor h(d).
-5*d*(d - 3)
Let a(r) be the first derivative of -2*r**3/15 + 39*r**2/5 - 198. Factor a(k).
-2*k*(k - 39)/5
Let -30/13*h**2 - 32/13*h - 8/13 + 8/13*h**4 + 8/13*h**3 = 0. Calculate h.
-2, -1/2, 2
Let d = -4890/11 - -34241/77. Let d*l**2 - 8/7*l + 16/7 = 0. What is l?
4
Let o(h) = h + 29. Let t be o(-21). Let v = -12 + 23. Find p such that p**2 + v*p**3 - t*p**3 - 2*p**3 + 2*p - 4*p = 0.
-2, 0, 1
Let o(r) be the first derivative of -r**4/3 + 2*r**3 - 4*r**2 - 6*r + 10. Let q(a) be the first derivative of o(a). Let q(s) = 0. Calculate s.
1, 2
Suppose 0 = 14*n - 12*n - 4. Let m(r) be the first derivative of 4 + 3/2*r + 1/2*r**n - 1/6*r**3. Determine f so that m(f) = 0.
-1, 3
Let b(g) be the first derivative of g**7/210 + 38*g**3/3 + 6. Let j(d) be the third derivative of b(d). Find f such that j(f) = 0.
0
Let o(b) be the first derivative of -b**7/5040 - 7*b**6/2160 - b**5/90 + b**4/9 - 34*b**3/3 - 31. Let x(c) be the third derivative of o(c). Factor x(r).
-(r - 1)*(r + 4)**2/6
Factor -435/4*p**2 - 21*p + 9.
-3*(5*p + 2)*(29*p - 6)/4
Let b(i) be the third derivative of -i**5/600 + i**4/40 - i**3/12 + 135*i**2 - i. Find x such that b(x) = 0.
1, 5
Let a be ((-6)/24)/(3/(-24)). Factor q**3 - 9*q**4 + 13*q**2 - 49*q**2 - 1 - 18*q - a - 31*q**3.
-3*(q + 1)**3*(3*q + 1)
Let p(u) be the second derivative of -u**7/63 + 4*u**6/45 + 11*u**5/30 + u**4/3 + 17*u - 3. Factor p(b).
-2*b**2*(b - 6)*(b + 1)**2/3
Let z(h) = -h**3 + 7*h**2 + 8*h + 6. Let q be z(8). Factor 258*b**3 + q*b - 69*b**4 - 33*b**2 + 21*b**5 - 6*b**2 - 177*b**3.
3*b*(b - 1)**3*(7*b - 2)
Let q(d) be the second derivative of d**5/14 - 41*d**4/21 + 352*d**3/21 - 128*d**2/7 + 104*d. Find r such that q(r) = 0.
2/5, 8
Let c be (-12)/1089*994/8 + -3. Let w = -2/363 - c. Suppose -2/11*x - 16/11*x**2 - 4*x**3 + 0 - 18/11*x**5 - w*x**4 = 0. What is x?
-1, -1/3, 0
Let u = 63 + -183. Let f = 122 + u. Factor -4/17*h - 2/17*h**f + 0.
-2*h*(h + 2)/17
Factor -368*c - 177*c + 95*c - 2*c**3 - 62*c**2 + 2*c**2.
-2*c*(c + 15)**2
Suppose -3*s + 4*q + 7 = 0, -5*q - 17 + 8 = -4*s. Let y(k) be the first derivative of 0*k + 0*k**4 + 2/5*k**5 + 0*k**2 - 2/3*k**3 - s. Factor y(n).
2*n**2*(n - 1)*(n + 1)
Suppose -4*y + 7*y - 3 = 3*u, 2*u = -2*y + 10. Factor -8 - 27*x**y + 7*x**3 - 71*x**2 + 23*x**2 - 36*x.
-4*(x + 1)**2*(5*x + 2)
Let w(x) = -x**2 + 10*x + 12. Let d be w(10). Suppose -10 = -d*l + 14. Determine i so that -8/13*i - 8/13 - 2/13*i**l = 0.
-2
Let o(m) be the first derivative of -m**4/8 - m**3/3 + 5*m**2 - 12*m + 194. Factor o(r).
-(r - 2)**2*(r + 6)/2
Let l(f) be the third derivative of f**7/42 + f**6/8 - f**5/6 - 5*f**4/2 - 20*f**3/3 - 593*f**2. Factor l(j).
5*(j - 2)*(j + 1)*(j + 2)**2
Let t(w) be the first derivative of 2 - 16/7*w**3 - 6/7*w + 3/4*w**4 + 33/14*w**2. Factor t(l).
3*(l - 1)**2*(7*l - 2)/7
Let r(v) be the first derivative of -3*v - 56/3*v**3 - 4*v**4 - 25/2*v**2 + 25. Factor r(g).
-(g + 3)*(4*g + 1)**2
Let j be (-36)/42 + 592/168. Let i(o) = -o**2 + 8*o - 14. Let s be i(4). Factor -j - 242/3*h**s - 88/3*h.
-2*(11*h + 2)**2/3
Let l = -5 + 7. Suppose -3*a**2 - 6*a + 2*a**2 + a**2 + 2*a**l = 0. Calculate a.
0, 3
Let u(y) = y + 1. Let l be u(1). Let d = -129 + 146. Let 4*z**2 - 3*z**2 + 5*z - 3*z**l - 18 - d*z = 0. What is z?
-3
Suppose -11*u = -102*u - 33*u. Find f such that u*f**4 + 0*f**2 + 5/3*f**3 - 1/3*f**5 + 0 - 4/3*f = 0.
-2, -1, 0, 1, 2
Suppose 19 = 5*g + 9. Solve -5 + 0*j + 3 + 2*j**g + 5*j + j - 6*j**3 = 0.
-1, 1/3, 1
Suppose 0*a - a = 4*a. Solve a*f**2 + 157 - 607 - 60*f - 2*f**2 = 0 for f.
-15
Let q be 25/25*9/(-6 - -9). Factor -2 - 4*f - 1/2*f**q - 5/2*f**2.
-(f + 1)*(f + 2)**2/2
Let x(z) be the first derivative of 5*z**4/8 + 275*z**3/6 + 1040*z**2 + 5070*z - 558. Factor x(m).
5*(m + 3)*(m + 26)**2/2
Fa