-5*c*(c + 1)**2
Let d be ((-28)/(-10))/(1666/1428). Let 4*h**3 + 12/5*h**4 + 8/5 - d*h - 8/5*h**5 - 4*h**2 = 0. What is h?
-1, 1/2, 1, 2
Suppose -15 = -9*s + 6*s. Suppose 8*i**2 - s - 20*i - 21*i**3 - 5*i**4 + i**3 - 38*i**2 = 0. What is i?
-1
Let 1/7*x**5 - 1/7*x**4 - 3/7*x**3 + 2/7*x + 1/7*x**2 + 0 = 0. Calculate x.
-1, 0, 1, 2
Let p(k) = k**3 + 11*k**2 + 26*k + 20. Let m be p(-8). Factor 1/4*a**2 + 1/2*a - 1/2*a**3 + 0 - 1/4*a**m.
-a*(a - 1)*(a + 1)*(a + 2)/4
Let q be (2/(-4))/((-2)/304). Let f be -1 - q/(-18) - 3. Let -2/9*w**2 - 2/9*w + f + 2/9*w**3 = 0. Calculate w.
-1, 1
Let v(m) be the first derivative of m**5/510 + 11*m**4/204 + 10*m**3/51 + 13*m**2/2 - 7. Let k(d) be the second derivative of v(d). Factor k(b).
2*(b + 1)*(b + 10)/17
Let w(d) be the second derivative of -1/12*d**4 + 1/6*d**3 + 15*d + 0 + 0*d**2. Let w(k) = 0. Calculate k.
0, 1
Let h(k) be the first derivative of -k**4/12 - k**3/3 - 20*k + 5. Let s(t) be the first derivative of h(t). Factor s(p).
-p*(p + 2)
Suppose 0 = 3*u + 4*t - 139, 2*u + 3*t - 88 = 5*t. Let h = u + -41. Factor 2/9*b**5 - 2/3*b**h - 2/9*b**2 + 0 + 2/3*b**3 + 0*b.
2*b**2*(b - 1)**3/9
Factor 1/2*k - 1/3 + 1/6*k**2 - 1/2*k**3 + 1/6*k**4.
(k - 2)*(k - 1)**2*(k + 1)/6
Let q(i) = -3*i + 2. Let w be q(2). Let l = w - -15. Suppose 11 - l + 0*t**2 - 4*t**2 - 4*t**3 = 0. What is t?
-1, 0
Determine d, given that 21*d**2 + 12*d**2 + 9*d**2 - 45*d**2 - 1083 - 114*d = 0.
-19
Factor 18/5*j - 4/5*j**3 + 24/5*j**2 + 2/5*j**5 + 0 - 8/5*j**4.
2*j*(j - 3)**2*(j + 1)**2/5
Suppose j - 4*j + 9 = 0. Solve m**5 - 4*m**4 - 3*m**4 + 4*m**2 + 8*m**j + 12*m**4 = 0 for m.
-2, -1, 0
Let i = 2093 - 27207/13. Factor 12/13 - 10/13*w + i*w**2.
2*(w - 3)*(w - 2)/13
Let c(t) = t**5 - t**3 + 2*t**2 + t. Let n(l) = 7*l**5 + 20*l**4 + 7*l**3 - 14*l**2 + l. Let d(b) = -c(b) + n(b). Factor d(j).
2*j**2*(j + 2)**2*(3*j - 2)
Let j(w) be the third derivative of w**8/224 + 3*w**7/280 - 19*w**6/240 + 3*w**5/20 + w**4/4 + w**2. Let k(b) be the second derivative of j(b). Factor k(u).
3*(u + 2)*(2*u - 1)*(5*u - 3)
Let c be ((-4880)/(-2928))/(2*(-1)/(-15)). Suppose -5/2*a**2 - c + 15*a = 0. Calculate a.
1, 5
Let u(n) = -n**3 + 4*n**2 - 4*n + 3. Let s(q) = -4*q**2 + 2*q - 2. Let m(y) = -3*s(y) - 2*u(y). Solve m(l) = 0 for l.
-1, 0
Let h(x) be the third derivative of x**5/15 - x**4/6 + x**3/3 + 300*x**2. Let a(s) = -4 + 6 - 3. Let i(v) = -2*a(v) - h(v). Determine j, given that i(j) = 0.
0, 1
Let a(y) = -7*y + 4*y + 2 + y**2 + 2*y + 7*y. Let k be a(6). Factor -2400*q**4 - k*q - 543*q**2 - 147*q**2 - 1152*q**5 - 8 - 46*q - 1880*q**3.
-2*(3*q + 2)**2*(4*q + 1)**3
Let q = -6055/3 - -2020. Suppose 20*v**3 + 40/3*v**2 + q*v**5 + 0*v + 10*v**4 + 0 = 0. Calculate v.
-2, 0
Suppose -3*k = -2 - 7. Factor -5*o**2 - 4*o**4 + 7*o**k + 3*o**3 - o**4.
-5*o**2*(o - 1)**2
Let a be 25 - 0 - 4/(-2). Let s = a + -25. Determine k, given that -3*k**2 + 8*k**s - k**2 = 0.
0
Suppose 69*l = 175 + 32. Let 18/13*i - 4/13 - 8/13*i**l - 6/13*i**2 = 0. What is i?
-2, 1/4, 1
Let z(v) be the third derivative of 4*v**3 - 1/6*v**5 + 3/20*v**6 + 0 + 1/105*v**7 - 26*v**2 + 0*v - 1/168*v**8 - 4/3*v**4. Find u such that z(u) = 0.
-2, 1, 3
Let j(o) = o**3 + 5*o**2 - 7*o - 3. Let g be j(-6). Factor 92*f**2 - 6*f**g + 3 - 92*f**2 - 3*f**4 + 6*f.
-3*(f - 1)*(f + 1)**3
Let q(h) be the first derivative of h**6/12 - h**5/4 + 5*h**3/6 - 5*h**2/4 + 2*h - 8. Let l(z) be the first derivative of q(z). Factor l(n).
5*(n - 1)**3*(n + 1)/2
Let h(w) = 4*w + 51. Let p be h(-12). Factor -7*b**3 + 3*b**3 - 4*b**4 + 14*b**5 - p*b**4 - 3*b**4.
2*b**3*(b - 1)*(7*b + 2)
Let l(a) be the second derivative of 7*a**4/48 + a**3/3 + 91*a. Let l(s) = 0. Calculate s.
-8/7, 0
Let 3/4*f**4 + 9*f**2 + 21/2*f - 21/2*f**3 - 39/4 = 0. What is f?
-1, 1, 13
Let g be 5*(1/5 + 1). Let k be ((-222)/(-70))/3 + g/(-30). Factor 4/7 + k*m**3 - 2/7*m - 8/7*m**2.
2*(m - 1)**2*(3*m + 2)/7
Let w(v) be the third derivative of -1/90*v**5 + 1/9*v**4 + 0*v + v**2 + 0*v**3 + 0. Factor w(y).
-2*y*(y - 4)/3
Let b(j) = -2*j**4 - 8*j**3 - 6*j**2 + 6*j + 4. Let r(t) = -2*t**3 - 3*t**2 + t + 1. Let i(q) = -b(q) + 2*r(q). Let i(g) = 0. Calculate g.
-1, 1
Let m be -3 - (3 - 3) - -39. Suppose -6*p = -8*p + m. Factor -2*v**2 + 5*v + 4*v - p + 3*v.
-2*(v - 3)**2
Let v(g) be the third derivative of g**7/16380 - g**6/4680 - g**5/390 + 7*g**4/24 - 3*g**2. Let d(o) be the second derivative of v(o). Factor d(w).
2*(w - 2)*(w + 1)/13
Let x(p) be the first derivative of -3/5*p**3 - 3/5*p**2 + 0*p - 3/20*p**4 - 19. What is z in x(z) = 0?
-2, -1, 0
Let l be (-2 - (-9)/3)/9. Let n(w) be the second derivative of 3*w + 0*w**2 - l*w**4 + 0 + 0*w**3 + 1/15*w**5. Factor n(o).
4*o**2*(o - 1)/3
Let p = -9 - -12. Suppose 2*m = 5*a - 11, -p*a - 3 = -3*m - 2*a. Find z such that -8*z**m + 2*z**2 - 14*z**4 - 13*z + 17*z - 24*z**3 = 0.
-1, 0, 2/7
Let n(w) be the first derivative of -49*w**4/2 - 896*w**3 + 780*w**2 - 224*w + 78. Factor n(g).
-2*(g + 28)*(7*g - 2)**2
Let p(k) be the second derivative of 2*k**7/105 + k**6/10 + k**5/5 + k**4/6 - 11*k**2/2 + 3*k. Let z(h) be the first derivative of p(h). Factor z(w).
4*w*(w + 1)**3
Let s be ((-2)/10)/((-16)/64). Solve -28/5*d - 48/5*d**3 + s + 64/5*d**2 = 0.
1/3, 1/2
Let z(t) = -t**3 + 10*t**2 - 31*t - 6. Let v(g) = -g**3 + 10*g**2 - 30*g - 5. Let q(r) = -6*v(r) + 5*z(r). What is x in q(x) = 0?
0, 5
Let o(c) be the second derivative of -2*c**7/21 + c**6/5 + c**5 - 8*c**3/3 - 3*c**2 + 2*c + 24. Find h such that o(h) = 0.
-1, -1/2, 1, 3
Solve -12/7*p**2 + 24/7*p + 2/7*p**3 - 16/7 = 0.
2
Let t = -780 - -169258/217. Let j = 1073/1302 - t. Factor -1/3 - 1/6*n + 5/3*n**2 - 2/3*n**3 - 4/3*n**4 + j*n**5.
(n - 1)**3*(n + 1)*(5*n + 2)/6
Let k(m) = 8*m**4 + 24*m**3 + 52*m**2 + 36*m - 4. Let x(n) = -14 - n**2 + 7 + 8 - n**4 - n. Let b(v) = k(v) + 4*x(v). Suppose b(p) = 0. What is p?
-2, 0
Let r = -3413/143 + 315/13. Suppose r*g**2 + 2/11*g**3 + 2/11*g + 0 = 0. Calculate g.
-1, 0
Let a(c) be the third derivative of -c**5/60 + c**4/8 + 2*c**3/3 - 2*c**2 - 182. Factor a(d).
-(d - 4)*(d + 1)
Let v(p) = -p**2 - 6*p + 16. Let h be v(-8). Suppose -s - 3*s = -h*s. Let 0*z**2 - 1/3*z**3 + s*z + 0 = 0. Calculate z.
0
Let a = 16580/681 + -3/227. Let f(v) be the first derivative of -1/6*v**6 - 11/5*v**5 - 2 - a*v**3 - 16*v - 28*v**2 - 43/4*v**4. Solve f(r) = 0 for r.
-4, -1
Determine l so that -162/13*l + 0 + 2/13*l**2 = 0.
0, 81
Let p = -12746 + 101977/8. Find s such that -3/8*s**3 - p*s**2 + 3/2 + 0*s = 0.
-2, 1
Let t be 81/4 + (-2)/8. Factor 14*i**4 - 8*i**2 - 2*i**3 - 2*i**4 - t*i**5 - 2*i**3 + 20*i**4.
-4*i**2*(i - 1)**2*(5*i + 2)
Let g be 30/4*8/(-12). Let x(i) = i**2 + i + 1. Let n be x(g). Suppose -19*s**2 + s**5 + 0*s**3 + 5*s**3 + n*s**2 + 4*s**4 = 0. What is s?
-2, -1, 0
Let 0*o - 64/19 + 44/19*o**2 + 2/19*o**4 - 18/19*o**3 = 0. What is o?
-1, 2, 4
Let t(w) = 3*w**3 - 4*w**2 - 27*w - 56. Let p(l) = l**3 - 2*l**2 - 1. Let h(g) = -2*p(g) + t(g). Factor h(u).
(u - 6)*(u + 3)**2
Let y = -169 + 171. Let p(i) be the third derivative of 3/7*i**3 - 5*i**y + 0 + 1/210*i**5 - 1/14*i**4 + 0*i. Factor p(b).
2*(b - 3)**2/7
Let x(i) be the first derivative of 0*i**2 - 1/5*i**3 - 3/20*i**4 + 0*i + 13. Factor x(t).
-3*t**2*(t + 1)/5
Suppose 0 + 2/7*q**5 + 0*q - 2/7*q**4 + 0*q**2 - 4/7*q**3 = 0. Calculate q.
-1, 0, 2
Suppose 3 = 3*w + 3*v, -3*w + 3 = 2*v - 0*v. Let h(l) = -49*l + 247. Let p be h(5). Determine k so that -1/2*k + w - 1/2*k**p = 0.
-2, 1
Let q be 24/16*(-8)/(-6). Determine x, given that -x**2 + x**4 + x**4 - 2*x**2 + x**q = 0.
-1, 0, 1
Let k(p) be the second derivative of -p**7/14 - 11*p**6/90 + 5*p**5/12 + 5*p**4/12 - 8*p**3/9 - 2*p**2/3 + 454*p. Solve k(j) = 0.
-2, -1, -2/9, 1
Let q be (-15)/2 - (197 - 205). Let d**4 + 0*d - q*d**5 + 0*d**2 + 0 + 0*d**3 = 0. What is d?
0, 2
Suppose -j - 2*i - 6 = 0, j + 3*i - 1 + 11 = 0. Factor 35*t**j - 4*t - 15*t + 58*t - 9*t.
5*t*(7*t + 6)
Let y be (-7)/14 + (-33)/(-6). Solve 8*i**3 - 20 - 34*i**2 - 20*i - y*i**4 + 2*i**3 + 49*i**2 = 0.
-1, 2
Let w(p) = p**5 - p**3 - p**2 + p. Let g(q) = -3*q**5 - 4*q**4 + 7*q**3 + 9*q**2 - 9*q. Let i(b) = -g(b) - w(b). Factor i(r).
2*r*(r - 1)**2*(r + 2)**2
Let n(w) be the second derivative of -2*w**6/15 - 2*w**5/5 + 4*w**3/3 + 2*w**2 - 15*w - 1. What is v in n(v) = 0?
-