 - 7*v(w). Let z be o(21). What is a in 1/2*a**z + 0 - 1/2*a**3 + a = 0?
-1, 0, 2
Let m(t) = -39*t**2 + 34*t + 23. Let f(y) = 55*y**2 - 50*y - 35. Let p(c) = -5*f(c) - 7*m(c). Factor p(w).
-2*(w - 7)*(w + 1)
Let u be (69/138)/(1/24). Suppose -u = h - 3*h + 3*r, r = -h + 1. Factor 3/5*q - 9/5*q**2 - 3/5*q**h + 9/5.
-3*(q - 1)*(q + 1)*(q + 3)/5
Solve 1101128/11 + 2/11*l**2 + 2968/11*l = 0.
-742
Let s(k) be the first derivative of -7*k**4/4 + 17*k**3/3 - 5*k**2 + 825. Factor s(o).
-o*(o - 1)*(7*o - 10)
Let z(f) = -25*f**2 - f - 2. Let a(x) = -153*x**2 + 156*x - 2187. Let b(u) = -a(u) + 6*z(u). Factor b(y).
3*(y - 29)*(y - 25)
Solve -2*s**5 + 16349*s**3 + 116*s + 16*s**4 - 16373*s**3 - 64*s**2 + 12*s = 0 for s.
-2, 0, 2, 4
Let b be 1/(288/18) + 339/(-48) + 392 + -10. Suppose -3/5*j**2 - b + 30*j = 0. Calculate j.
25
Suppose 0 = 3*j, 4*n - j = -0 + 8. Let x(b) = b**5 + 2*b**4 - 9*b**3 + 13*b**2 + 5*b - 12. Let m(t) = -t**4 + t. Let y(i) = n*x(i) + 6*m(i). Solve y(w) = 0.
-3, -1, 1, 2
Let u(p) be the first derivative of 1/6*p**4 + 30*p - 50 + 1/15*p**6 + 0*p**3 + 0*p**2 - 1/5*p**5. Let r(f) be the first derivative of u(f). Factor r(m).
2*m**2*(m - 1)**2
Suppose 0 = 3*a - 27 + 18. Factor -51*d + 166*d**4 - 170*d**4 - 67*d**2 - 15*d**3 - 9 - 14*d**a.
-(d + 1)*(d + 3)**2*(4*d + 1)
Let w be ((-9)/5)/((-23)/(-115)). Let a be 8/((-120)/w)*(-1)/(-3). Find g, given that 2/5 + 3/5*g + a*g**2 = 0.
-2, -1
Suppose -3*s = -6*s - 4*u - 16, -4*u + 4 = -2*s. Let d(h) = 2*h**2 + 4*h - 13. Let v be d(s). Find c, given that -4/7*c + 0 - 1/7*c**4 + 3/7*c**v + 0*c**2 = 0.
-1, 0, 2
Let f(y) be the first derivative of y**5/140 + 9*y**4/28 + 4*y**3 - 14*y**2 + 66*y - 110. Let m(h) be the first derivative of f(h). Solve m(t) = 0 for t.
-14, 1
Suppose 3*p + 4 = 6331*x - 6335*x, -5*p = -3*x - 32. Suppose j**2 + 0 + 0*j + 7/2*j**p - j**5 - 7/2*j**3 = 0. What is j?
0, 1/2, 1, 2
Let a(m) be the second derivative of -m**5/20 - 79*m**4/12 - 1435*m**3/6 + 5043*m**2/2 - 2568*m. Solve a(x) = 0.
-41, 3
Let q(k) = -35*k**3 - 31*k**2 + 330*k - 6. Let x(w) = 495*w**3 + 435*w**2 - 4620*w + 85. Let n(p) = -85*q(p) - 6*x(p). Find c, given that n(c) = 0.
-11, 0, 6
Suppose g - x + 10 = 12, 21*g - 61 = 2*x. Factor 17/3*l**g - 10/3*l**4 + 0*l + 1/3*l**5 + 0 - 8/3*l**2.
l**2*(l - 8)*(l - 1)**2/3
Let u be ((-2900)/40 + 72)/((-23)/4). Factor 6/23 + u*b**2 - 8/23*b.
2*(b - 3)*(b - 1)/23
Suppose -89 = -10*j - 49. Factor 1591*b**j + 0 - 1594*b**4 + 0 + 45*b**3.
-3*b**3*(b - 15)
Let h(k) = k - 1. Let i(f) = 15*f**3 - 35*f**2 + 12*f - 2. Let n = 38 + -37. Let y(o) = n*i(o) - 2*h(o). Factor y(p).
5*p*(p - 2)*(3*p - 1)
Let c be 6*23/66 - 16/(1 + 175). Find f such that 105/8*f - 51/8 + 3/8*f**3 - 57/8*f**c = 0.
1, 17
Let p(h) = -17*h - 97. Let f be p(-6). Suppose -326*t**2 + 321*t**2 - 5*t**3 + 2*t**4 + 3*t**4 + f*t = 0. Calculate t.
-1, 0, 1
Let u = -323269 + 323273. Solve 18/7*t**3 - 8/7*t - 48/7 + 2/7*t**u + 36/7*t**2 = 0.
-6, -2, 1
Let v = -11 + 22. Let a = v - 9. Factor 0*o**3 - 96*o**a - 64*o - 5*o**4 + o**4 - 43*o**3 + 7*o**3.
-4*o*(o + 1)*(o + 4)**2
Let f = -198 - -195. Let w(i) = -4*i**2 + 67*i. Let r(o) = 3*o**2 + o. Let h(a) = f*r(a) - w(a). Factor h(z).
-5*z*(z + 14)
Factor 17280*k + 3276*k**2 + 3*k**4 - 1995 - 536 - 11988 + 177*k**3 - 6217.
3*(k - 1)*(k + 12)*(k + 24)**2
Let p(s) be the third derivative of s**7/42 + 7*s**6/24 + 5*s**5/4 + 15*s**4/8 - 3*s**2 + 37. Factor p(a).
5*a*(a + 1)*(a + 3)**2
Let l(u) be the third derivative of -u**5/240 - 23*u**4/96 + u**3 - 2*u**2 + 56*u. Find a such that l(a) = 0.
-24, 1
Let t(u) be the third derivative of -u**5/15 - 233*u**4/6 - 464*u**3/3 - 2*u**2 - 41*u + 5. Let t(b) = 0. What is b?
-232, -1
Let t(v) = v**2 - 14*v + 47. Let z be t(7). Let p(s) = -7*s**3 + 17*s**2 - 5*s - 1. Let g(y) = y**3 + y**2 - y + 1. Let m(a) = z*g(a) + p(a). Factor m(l).
-3*(l - 1)**2*(3*l + 1)
Let k(l) be the second derivative of 9/2*l**2 - 25/4*l**3 - 3/20*l**6 + 33/8*l**4 + 0 - 44*l + 1/14*l**7 - 39/40*l**5. Find w, given that k(w) = 0.
-3, 1/2, 1, 2
Suppose -8 = -2*z - 4. Suppose 0 = -4*q + 3*q + 2*r + 8, -z*r + 4 = 2*q. Factor -10*h + 4 + 2*h + q*h**2 + 2*h - 2*h.
4*(h - 1)**2
Factor 1/4*z**2 - 53*z - 107.
(z - 214)*(z + 2)/4
Suppose -49*u + 44*u = -100. Factor 14*x + u*x - 30*x**2 + 70 + 55*x**3 + 11*x - 60*x**3.
-5*(x - 2)*(x + 1)*(x + 7)
Suppose -956 = 21*t - 469 - 571. Suppose 0 - 16/3*z**3 - 8/3*z**2 - 2/3*z**5 + 0*z - 10/3*z**t = 0. What is z?
-2, -1, 0
Let l(d) = -4*d**4 - 56*d**3 - 399*d**2 - 604*d - 275. Let m(s) = -31*s**4 - 450*s**3 - 3191*s**2 - 4834*s - 2200. Let b(c) = -115*l(c) + 15*m(c). Factor b(o).
-5*(o + 1)**2*(o + 5)*(o + 55)
Let d = 7446 + -7446. Let h(s) be the first derivative of d*s**2 + 15*s**3 + 5/2*s**4 - 21 - 20*s - 3*s**5. Let h(w) = 0. What is w?
-1, 2/3, 2
Suppose -303*b - 260 = -313*b. Factor b*i**4 - 64*i**5 + 12*i**5 - 21*i**4 + 27*i**5.
-5*i**4*(5*i - 1)
Factor -106*b**2 + 178*b**2 - 3*b**3 + 10092 + 202*b**2 + 97*b**2 - 10440*b - 20*b**2.
-3*(b - 58)**2*(b - 1)
Let o(g) = -24*g**2 - 9214*g - 406. Let m(v) = 5*v**2 + 1843*v + 87. Let d(z) = 14*m(z) + 3*o(z). Factor d(c).
-2*c*(c + 920)
Let 4711*x**2 + 117*x + 6 - 6 - 4708*x**2 = 0. What is x?
-39, 0
Let w(c) = c**4 + 10. Let b(o) = -5*o**4 - 12*o**3 - 18*o**2 + 68*o - 99. Let d(r) = b(r) + 6*w(r). Factor d(u).
(u - 13)*(u - 1)**2*(u + 3)
Let s(n) = 17*n + 19. Let c be s(3). Let l = 110 - c. Factor 4*i**2 + i**2 + l*i - 35*i.
5*i*(i + 1)
Let b = -143617 + 143617. Determine q, given that 2*q**4 + 16/5*q**3 + 0 - 32/15*q**2 + 4/15*q**5 + b*q = 0.
-4, 0, 1/2
Let r(q) be the first derivative of -q**6/8 + 3*q**5/2 - 111*q**4/16 + 15*q**3 - 27*q**2/2 - 707. Factor r(j).
-3*j*(j - 3)**2*(j - 2)**2/4
Let k = -133229 + 133233. Find r, given that -5/2*r - 25/4*r**2 - 5/4*r**k + 0 - 5*r**3 = 0.
-2, -1, 0
Suppose -213*g + 123*g = -112*g + 88. Determine n, given that -40/11*n + 2/11*n**g - 32/11*n**2 + 0 - 2/11*n**3 = 0.
-2, 0, 5
Let d = 136621190/77 - 1774360. Let u = d - -436/7. Solve -12/11 + 14/11*s**2 - u*s = 0.
-2/7, 3
Let k be (2/(-12))/((-65)/4290). Suppose 2*c + 5*n = 31, 6*c = 9*c - 4*n + k. Let 0*t + 0 + 1/6*t**4 - 1/3*t**c + 0*t**2 + 1/6*t**5 = 0. Calculate t.
-2, 0, 1
Let j(p) be the third derivative of 1/1320*p**6 - 5*p**2 + 0 + 9/22*p**3 - 3/88*p**4 + 0*p - 1/220*p**5. Find x, given that j(x) = 0.
-3, 3
Let w(u) = -113*u**3 - 14167*u**2 - 334207*u - 66270. Let p(q) = -19*q**3 - 2361*q**2 - 55701*q - 11045. Let y(a) = 37*p(a) - 6*w(a). Factor y(f).
-5*(f + 47)**2*(5*f + 1)
Let n = 1/3 - -1/6. Let y(u) = -10*u**3 + 91*u**2 - 146*u - 6. Let k be y(7). Factor k - 3/2*j + n*j**2.
(j - 2)*(j - 1)/2
Let m(p) = 7 + 2*p**2 - 19*p + 10 - 8 + 5 + p**3 + 4*p. Let k be m(1). Determine r so that -2/9*r**3 + 128/9 - 32/3*r + 8/3*r**k = 0.
4
Factor 279/2*c**2 + 1/4*c**3 - 39200 + 19320*c.
(c - 2)*(c + 280)**2/4
Let b(u) be the first derivative of u**3/15 - 87*u**2/5 - 337. Find z such that b(z) = 0.
0, 174
Let x be (-753720)/(-726) - 4/(-2). Let q = x - 1040. Find a such that -2/11*a**2 + 0*a + q = 0.
-1, 1
Suppose 148 = -4*q + 220. Determine b, given that 15*b**4 + q*b + 30 - 45*b**2 - 5*b + 56*b - 69*b**3 = 0.
-1, -2/5, 1, 5
Solve 1/2*n**4 - n - 7/6*n**2 + 1/2*n**3 + 0 - 1/6*n**5 = 0.
-1, 0, 2, 3
Solve 18*b**3 + 500 + 1079*b - 4*b**3 + 321*b + 11*b**3 - 22405*b**2 + 22790*b**2 = 0 for b.
-10, -5, -2/5
Let t(o) = 5*o**2 + 920*o + 42338. Let u be ((-2)/(-10)*1)/(206/(-1030)). Let m(x) = -6. Let z(b) = u*t(b) - 3*m(b). Suppose z(y) = 0. Calculate y.
-92
Let r(k) be the first derivative of k**5/10 + 7*k**4/16 - 9*k**3/2 - 31*k**2/8 + 7*k + 494. Suppose r(a) = 0. Calculate a.
-7, -1, 1/2, 4
Let f(l) be the first derivative of -l**3/18 + 635*l**2/6 - 403225*l/6 - 4246. Factor f(r).
-(r - 635)**2/6
Let l be (996/63)/(32/(-384)). Let b = l - -11966/63. Determine g, given that 2/3*g + 0 - b*g**2 = 0.
0, 3
Let z(r) be the third derivative of 0 + 110*r - 2*r**2 - 1/140*r**5 - 9/14*r**4 - 34/7*r**3. Factor z(u).
-3*(u + 2)*(u + 34)/7
Factor -880*m**2 - 38*m**3 - 30*m**3 + 5*m + 94*m**3 + 880 - 31*m**3.
-5*(m - 1)*(m + 1)*(m + 176)
Determine g, given that -18/7*g**2 + 2/7*g**3 + 72/7 - 8/7*g = 0.
-2, 2, 9
Let d = 22/57 + 18/19. Let u be -684 + 683 + 11/9. Solve u*z**2 + 10/9*z - d = 0.
-6, 1
Let w(s) be t