(y + 1)**4/3
Suppose 17*x - 22*x + 40 = 0. Let u = 11 + -6. Factor x*n**3 + 0*n**2 + 0*n**2 + n**3 - 3*n**u + 6*n**2.
-3*n**2*(n - 2)*(n + 1)**2
Factor -21/2*u**3 - 45*u**2 - 54*u - 12.
-3*(u + 2)**2*(7*u + 2)/2
Let q(z) = -43*z - 3*z**2 + 29 + 3*z**2 + 2*z**2. Let i(d) = -4 + 24*d - 4*d**2 - 10*d - 6 + 3*d**2. Let n(g) = -7*i(g) - 2*q(g). What is r in n(r) = 0?
2
Let f be ((-1)/21*4)/(-1*(-30)/(-45)). Find z, given that 8/7 - 16/7*z**2 + 8/7*z**4 - f*z - 2/7*z**5 + 4/7*z**3 = 0.
-1, 1, 4
Let f(m) be the second derivative of -m**6/105 + 3*m**5/35 - 2*m**4/7 + 8*m**3/21 - 113*m. Factor f(j).
-2*j*(j - 2)**3/7
Let g(r) = -r**3 + 6*r**2 + 15*r + 11. Let d be g(8). Factor 3*u + 5*u**d + 4*u**2 + 6*u**2 - 9 - 5*u**2 - 4*u**3.
(u - 1)*(u + 3)**2
Let j(a) = 25*a + 627. Let h be j(-25). Let m(u) be the third derivative of 1/30*u**6 - 1/6*u**4 + 1/15*u**5 + 0 - 2/3*u**3 + u**h + 0*u. Factor m(i).
4*(i - 1)*(i + 1)**2
Let g = -10160 + 10162. Suppose 2/5*c**g + 4/5*c**3 + 0 + 0*c + 2/5*c**4 = 0. Calculate c.
-1, 0
Let i = -10 - -21. Suppose -5*k - i = 3*z - z, 2*k = -6. Factor 3/4*c**z - 1/4 - 1/2*c.
(c - 1)*(3*c + 1)/4
Determine v, given that -35*v**3 - 31*v**3 + 8*v**4 + 2*v + 12*v**4 - 14*v + 58*v**2 = 0.
0, 3/10, 1, 2
Let q(f) be the first derivative of -15*f**3 + 55*f**2/2 - 10*f - 231. Factor q(h).
-5*(h - 1)*(9*h - 2)
Let f(m) = -m + 1. Let q(s) = s - 3. Let o be q(0). Let t be f(o). Suppose -27*x + 18*x**2 + 27/2 + 1/2*x**t - 5*x**3 = 0. What is x?
1, 3
Let o(z) = z**2 + 21*z + 85. Let a be o(-16). Let r(s) be the second derivative of 3/10*s**5 + 0*s**4 + 1/10*s**6 - a*s + 0 - 3/2*s**2 - s**3. Factor r(p).
3*(p - 1)*(p + 1)**3
Let c(s) = -7*s**4 - 5*s**3 - 13. Let o(l) = 10*l**4 + 7*l**3 - l**2 + 19. Let m(d) = -7*c(d) - 5*o(d). Suppose m(y) = 0. What is y?
-2, -1, 1, 2
Suppose 393*w = -3*v + 389*w + 36, -v - 2*w + 16 = 0. Factor -20/3*b**2 + 0 + 5*b**3 + 0*b + 5/3*b**v.
5*b**2*(b - 1)*(b + 4)/3
Let t(q) be the third derivative of q**7/105 + q**6/30 - q**4/6 - q**3/3 - 48*q**2. Factor t(m).
2*(m - 1)*(m + 1)**3
Let a(w) be the third derivative of -1/90*w**5 + 0*w**4 + 4/9*w**3 + 0*w - 8*w**2 + 0. Suppose a(n) = 0. What is n?
-2, 2
Let -19/3*n - 1/3*n**2 - 34/3 = 0. What is n?
-17, -2
Let v(w) be the third derivative of w**5/330 - 20*w**4/33 + 1600*w**3/33 - 104*w**2. Factor v(u).
2*(u - 40)**2/11
Let y(r) = 2*r**3 - 11*r**2 - r + 32. Let q be y(5). Let f(t) be the first derivative of -7 + 0*t - 1/12*t**3 - 1/8*t**q. Determine c so that f(c) = 0.
-1, 0
Let a(k) be the second derivative of -k**6/420 + k**5/70 - k**4/42 + 2*k**2 - 8*k. Let h(g) be the first derivative of a(g). Factor h(b).
-2*b*(b - 2)*(b - 1)/7
Let i(s) = -2*s**3 - 2*s**2 - 34*s + 38. Let v(u) = -u**3 - u**2 - 11*u + 13. Let q(r) = -4*i(r) + 11*v(r). Let q(j) = 0. Calculate j.
-3, 1
Suppose g - 8 = 3*v, -g - 10 = 4*v - 4. Suppose 1/7*j**g + 8/7 - 6/7*j = 0. What is j?
2, 4
Let o(v) be the first derivative of 6*v**5/5 - 11*v**4/3 + 10*v**3/3 + 17*v + 31. Let l(q) be the first derivative of o(q). Factor l(y).
4*y*(y - 1)*(6*y - 5)
Let l(j) be the second derivative of 4/5*j**5 + 2*j**2 - 16*j + 0 - 7/3*j**4 + 4/3*j**3. Find m such that l(m) = 0.
-1/4, 1
Let u(i) be the second derivative of i**7/252 - i**6/45 + i**5/30 - 4*i + 20. Determine g so that u(g) = 0.
0, 2
Let b(w) be the third derivative of -w**5/210 - w**4/7 - 9*w**3/7 + 487*w**2. Factor b(o).
-2*(o + 3)*(o + 9)/7
Let g = -3529 + 6857/2. Let t = -97 - g. Solve -8*j**5 - 1/2 - 7/2*j + 4*j**4 - t*j**2 + 23/2*j**3 = 0 for j.
-1, -1/4, 1
Let q(r) = 4*r**3 - 10*r**2 + 12*r - 1. Let n be q(6). Let f be (1656/n)/(6/20). Factor 3/5*o**2 + f + 24/5*o.
3*(o + 4)**2/5
Suppose -2*x + 4*j = 16 - 4, 4*x - 2*j = 0. Suppose -5*p = -x*p. Let 2/11*g - 2/11*g**3 + p*g**2 + 0 = 0. What is g?
-1, 0, 1
Find v, given that 10*v**4 - 11*v**2 + v**5 - 3*v**2 - 2*v + 4*v**2 - 14*v + 0*v**2 + 15*v**3 = 0.
-8, -2, -1, 0, 1
Let c(h) be the third derivative of -1/10*h**5 + 0*h + 1/60*h**6 + 0*h**4 + 0 + 0*h**3 - 19*h**2. Let c(x) = 0. Calculate x.
0, 3
Suppose i + 25 = 5*q, 0 = 6*q - 3*q - 3*i - 15. Let w(y) be the second derivative of 0 - 2*y**3 - 3*y - 3/20*y**q + y**4 + 0*y**2. Suppose w(d) = 0. What is d?
0, 2
Let s(y) be the second derivative of y**7/1155 + y**6/330 - 5*y**2 - 23*y. Let q(z) be the first derivative of s(z). Find j such that q(j) = 0.
-2, 0
What is s in 0*s + 5/2*s**2 - 1/2*s**3 + 0 = 0?
0, 5
Let w(j) = j**2 + 10*j - 9. Let h be w(-11). Find f, given that 1 - 6 + 5*f - 5*f**3 + 9*f**h - 4*f**2 = 0.
-1, 1
Let i(q) be the first derivative of 5*q**4/4 - 50*q**3/3 + 30*q**2 + 360*q + 97. Suppose i(l) = 0. What is l?
-2, 6
Suppose -2*g - 32 = -3*g. Suppose -g = -2*y - 0*y. Determine t so that y*t - 8 + 14*t**2 + 0 + 7 - 7 - 10*t**3 = 0.
-1, 2/5, 2
Let o(p) = p**5 + 2*p**2 - 1. Let q(x) = -2*x**5 - 3*x**4 + 9*x**3 + 2*x**2 - 2. Let u(n) = 10*o(n) - 5*q(n). Determine f so that u(f) = 0.
-2, 0, 1/4, 1
Let q be (-324)/(-12) + (-4047)/152. Determine g, given that -3/8*g**4 - 1/8*g**5 - 1/8*g + 3/4*g**2 - q + 1/4*g**3 = 0.
-3, -1, 1
Let d(a) be the first derivative of a**4/8 + 89*a**3/6 + 22*a**2 - 258. Factor d(w).
w*(w + 1)*(w + 88)/2
Let r = 3493/15597 + -3/1733. Factor 0 + r*c**4 - 2/9*c**2 - 2/9*c**3 + 2/9*c.
2*c*(c - 1)**2*(c + 1)/9
Find z such that 4950*z**2 - 98*z**4 - 1143*z**2 + 301*z**4 + 411*z**3 + 12393*z - 93*z**4 - 95*z**4 + 4374 = 0.
-9, -2/5
Let a(f) be the second derivative of -f**4/18 - 3*f**3/5 - 2*f**2/3 - 12*f + 2. What is r in a(r) = 0?
-5, -2/5
Suppose -s + 1 + 4 = 0. Suppose -10*t + 30 = -s*t. Find f such that 10*f + 2*f**3 + 6*f**2 - 4*f**2 + t*f**2 + 4 = 0.
-2, -1
Let w(s) = -17*s**3 - 91*s**2 - 22*s. Let h(q) = -q**3. Let n(v) = 5*h(v) - w(v). Factor n(u).
u*(3*u + 22)*(4*u + 1)
Let u(b) be the second derivative of -8*b**7/21 + 32*b**6/15 + 51*b**5/5 - 11*b**4/3 - 80*b**3/3 - 24*b**2 - 461*b. Let u(z) = 0. Calculate z.
-2, -1/2, 1, 6
Let r = -24 + 27. Factor 0*c**2 - r + 9*c**2 - 4*c - 6*c + 4*c.
3*(c - 1)*(3*c + 1)
Let t(w) be the third derivative of w**7/630 - w**6/72 + w**5/36 + 5*w**4/72 - w**3/3 + w**2 + 29*w. Suppose t(q) = 0. What is q?
-1, 1, 2, 3
Determine l, given that 0*l**4 + 3*l**2 + 17*l**5 - 6*l**4 + 3*l**2 - 3*l**3 - 14*l**5 = 0.
-1, 0, 1, 2
Let k(n) = -5*n**2 + 12*n - 21. Let f be k(6). Let z be (-10)/2 - f/21. Factor -2/7*t**2 - 8/7 + z*t.
-2*(t - 2)**2/7
Let u(n) be the second derivative of 3*n**5/20 - 3*n**4/2 - 63*n**3/2 + 588*n**2 - 522*n. Find r, given that u(r) = 0.
-8, 7
Let o(n) be the second derivative of -n**5/80 - 17*n**4/48 + 18*n. Suppose o(k) = 0. What is k?
-17, 0
Determine w, given that 75/2*w**2 - 117/2*w**4 - 135*w**3 - 6*w**5 + 0*w + 0 = 0.
-5, 0, 1/4
Let m(g) = g**2 - 56*g - 2578. Let d be m(86). Suppose -8*s + 0 + 4*s**d - 1/2*s**3 = 0. Calculate s.
0, 4
Suppose 5*b + 30 = 5*j, 0 = -2*j - 2*j + 3*b + 21. Let -j*m**2 - 3*m - m + 5*m**2 + 8*m = 0. What is m?
-2, 0
Let c(a) be the second derivative of a**5/150 - 4*a**4/45 + 7*a**3/15 - 6*a**2/5 - 6*a + 21. Factor c(r).
2*(r - 3)**2*(r - 2)/15
Let a(s) = -s**4 - 5*s**3 + 1. Let d(v) = 12*v**5 + 113*v**4 + 233*v**3 - 216*v**2 - 260*v + 103. Let x(l) = 3*a(l) - d(l). Suppose x(u) = 0. What is u?
-5, -1, 1/3, 1
Find x such that -x**3 + 2 + 7 + 4*x - 9 - 3*x**2 = 0.
-4, 0, 1
Let u be (-2)/3 + 13/15. Let o be 34 + 2077/(-62) - (-1)/10. Solve 2/5 - u*d + o*d**3 - 4/5*d**2 = 0 for d.
-2/3, 1
Let w(p) be the second derivative of p**7/11340 - p**6/1080 + p**5/270 - 7*p**4/12 - 15*p. Let v(z) be the third derivative of w(z). Solve v(b) = 0 for b.
1, 2
Let f(k) = 13*k**3 + 74*k**2 - 179*k - 240. Let i(h) = -19*h**3 - 110*h**2 + 269*h + 360. Let x(q) = -7*f(q) - 5*i(q). Factor x(z).
4*(z - 3)*(z + 1)*(z + 10)
Suppose -13*c + 209 = 170. Let q(h) be the first derivative of h**2 + 0*h - 7/5*h**5 - 3*h**4 - h**c - 10. Factor q(p).
-p*(p + 1)**2*(7*p - 2)
Let j(w) be the first derivative of -w**6/420 - w**5/210 + w**4/21 + 4*w**3/21 + 7*w**2 + 16. Let m(g) be the second derivative of j(g). Factor m(c).
-2*(c - 2)*(c + 1)*(c + 2)/7
Factor -51/2*o**2 + 1/2*o**3 - 4913/2 + 867/2*o.
(o - 17)**3/2
Let g(w) be the first derivative of -w**3 + 168*w**2 - 9408*w + 70. Determine b so that g(b) = 0.
56
Let c(r) be the second derivative of -2*r**2 - 8/3*r**