s be r(0). Let d be s/(-2) - (-45)/10. Factor -7*u**3 + 2*u**d + u**4 + 35*u - 31*u.
u*(u - 2)*(u - 1)*(3*u + 2)
Let f = -411653 - -6998103/17. Factor 18/17*m + 0 + f*m**2.
2*m*(m + 9)/17
Solve 2002866*g**3 - 2002867*g**3 + 49*g**2 + 55 + 86*g**2 + 82 + 273*g = 0.
-1, 137
Factor 2/3*j**2 - 2/21*j**3 + 2*j - 18/7.
-2*(j - 9)*(j - 1)*(j + 3)/21
Let a(k) be the third derivative of k**5/30 + 3*k**4/8 + 2*k**2 - 56*k. Let j(l) = -2*l + 0*l + 3*l. Let f(y) = a(y) - 5*j(y). Factor f(n).
2*n*(n + 2)
Solve -478/21*b + 10/21*b**3 - 56*b**2 + 236/7 = 0 for b.
-1, 3/5, 118
Find t, given that -40*t - 5*t**4 - 45 + 552*t**3 - 542*t**3 - 15 + 35*t**2 = 0.
-2, -1, 2, 3
Let p(t) = -3*t - 21. Suppose 10*r - 5*r = -60. Let i be p(r). Suppose 44*z**2 - i*z - 49*z**2 + 3 + 17 = 0. What is z?
-4, 1
Let w(b) = -24*b**4 - 50*b**3 + 32*b**2 + 14*b + 14. Let c(v) = 5*v**4 + 10*v**3 - 6*v**2 - 3*v - 3. Let k(m) = 28*c(m) + 6*w(m). Solve k(d) = 0.
-6, 0, 1
Let b(s) = -s**3 + 7*s**2 - 9*s - 3. Let i be b(4). Let n be (-6 - i)/((-175)/14 - 1). Factor -2/9*c - 2/3*c**2 + 2/9 + n*c**3 - 4/9*c**4.
-2*(c - 1)**3*(2*c + 1)/9
Let d be (1728/(-891))/((-4)/78) + 2*(0 + -4). Solve 126/11*v**2 - 8/11*v**4 + 72/11 - d*v + 138/11*v**3 = 0.
-2, 1/4, 1, 18
Suppose 2*j + 35 = -a, -19 = -2*a - j - 104. Let f = -40 - a. Factor -8*g + 5 + f*g**2 - 2*g + 0 + 0*g.
5*(g - 1)**2
Let i(d) = -15*d**4 - 813*d**3 - 1938*d**2 - 510*d. Let j(t) = -2*t**4 + t**2 - t. Let x(p) = -i(p) + 18*j(p). Find r such that x(r) = 0.
-2, -2/7, 0, 41
Let c be ((-24)/180*3)/((-752)/360 - -2). Suppose 7/6*k**3 + c*k**2 + 29/6*k + 5/3 - 1/6*k**4 = 0. What is k?
-1, 10
Let k(n) be the second derivative of n**6/30 + 2*n**5/5 + n**4 - 592*n. Determine l, given that k(l) = 0.
-6, -2, 0
Let w(y) be the third derivative of y**5/15 + 5*y**4/12 - 4*y**3 - 24*y**2 + 2. Let c be w(-4). Find j, given that 2/11*j**2 + c + 4/11*j = 0.
-2, 0
Let h(u) be the first derivative of u**7/294 - u**6/21 + 3*u**5/35 + 6*u**4/7 + 73*u + 76. Let w(z) be the first derivative of h(z). Find x such that w(x) = 0.
-2, 0, 6
Let i(r) be the second derivative of 177/20*r**5 + 0 - 17*r + 0*r**2 - 77/15*r**6 + 7/6*r**7 + 8/3*r**3 - 22/3*r**4. Solve i(y) = 0 for y.
0, 4/7, 1
Let k be (-1974)/49350 - 27/(-50). Factor -1/4*v**2 - k*v - 1/4.
-(v + 1)**2/4
Let r(o) be the first derivative of -1/30*o**5 + 5/3*o**2 - o**3 - 46 - 4/3*o + 7/24*o**4. Solve r(x) = 0.
1, 2
Factor -1/6*s**2 - 201601/6 - 449/3*s.
-(s + 449)**2/6
Factor 38088/5 + 202/5*w**2 + 5888/5*w + 2/5*w**3.
2*(w + 9)*(w + 46)**2/5
Factor 1/7*q**2 - 138/7*q + 272/7.
(q - 136)*(q - 2)/7
Let i(w) = 31*w**4 + 225*w**3 + 486*w**2 - 36*w - 33. Let l(t) = 29*t**4 + 226*t**3 + 487*t**2 - 38*t - 36. Let o(n) = -4*i(n) + 5*l(n). Solve o(d) = 0.
-8, -3, -2/7, 1/3
Let g(h) be the second derivative of h**5/570 - h**4/19 + 15*h**2/2 - h + 44. Let l(s) be the first derivative of g(s). Solve l(z) = 0.
0, 12
Let 5*b - 14/3*b**3 + 8/3*b**2 - 1/3*b**5 - 8/3*b**4 + 0 = 0. What is b?
-5, -3, -1, 0, 1
Let i(d) be the second derivative of 2/147*d**7 + 0*d**2 + 1/21*d**4 - 90*d + 0 + 4/21*d**3 - 3/35*d**5 - 2/105*d**6. Solve i(p) = 0.
-1, 0, 1, 2
Let a(w) = -w**2 - 8*w - 7. Let o be a(-8). Let c(k) = -3*k - 9. Let x be c(o). Factor x*u**2 - 4*u + 6*u - 14*u**2.
-2*u*(u - 1)
Let w(j) be the second derivative of j**6/60 + 21*j**5/8 + 201*j**4/8 + 297*j**3/4 - 50*j - 6. What is m in w(m) = 0?
-99, -3, 0
Let o(l) = 520*l**2 + 7*l - 11. Let v(w) = 990*w**2 + 13*w - 23. Let a(k) = 5*o(k) - 3*v(k). Factor a(c).
-2*(5*c + 1)*(37*c - 7)
Suppose -9 = -8*m + 7. Suppose 1 = 6*f - 65. Find n such that 3*n - 13*n + f*n + n**m = 0.
-1, 0
Let g(v) be the second derivative of -v**7/8820 - v**6/2520 + v**4/3 - 4*v + 1. Let d(m) be the third derivative of g(m). Factor d(j).
-2*j*(j + 1)/7
Let k = 445410 - 445410. Determine u, given that -4/15*u**5 + 6/5*u**4 + k*u**2 + 8/15*u - 22/15*u**3 + 0 = 0.
-1/2, 0, 1, 2
Let z(t) = -4*t - 57. Let j be z(-14). Let f(w) = -w**2 + w - 1. Let r(y) = -y**2 - 224*y - 4105. Let a(o) = j*r(o) - 2*f(o). Let a(x) = 0. Calculate x.
-37
Let j(x) = -x**2 - 1093*x + 80. Let c(b) = 3*b**2 + 3091*b - 239. Let o(l) = 6*c(l) + 17*j(l). Solve o(v) = 0.
-2, 37
Let h = 6/3881 - -3863/11643. Let j(t) be the first derivative of 28 + 1/12*t**4 + 1/3*t + h*t**3 + 1/2*t**2. Solve j(y) = 0.
-1
Let r(u) be the third derivative of 0 - 5/32*u**4 + 1/8*u**3 - 91*u**2 + 1/20*u**5 + 0*u. Solve r(k) = 0.
1/4, 1
Let q = -67117 + 67119. Factor 0 - 1/6*a**q + 0*a.
-a**2/6
Let f(p) be the third derivative of p**6/140 + 307*p**5/420 + 149*p**4/42 + 295*p**3/42 + 20*p**2 + 2*p - 28. Suppose f(r) = 0. What is r?
-295/6, -1
Let u(v) be the second derivative of 0*v**2 - 2/21*v**4 + 3*v + 4/21*v**3 + 1/70*v**5 - 1. Factor u(x).
2*x*(x - 2)**2/7
Find d, given that -2/5*d**3 - 494/5*d**2 - 6150*d - 30258/5 = 0.
-123, -1
Let l(i) be the second derivative of -5/42*i**7 - 30*i**2 + 0 - 20/3*i**3 + 283*i + 65/12*i**4 - 1/6*i**6 + 9/4*i**5. Determine f, given that l(f) = 0.
-2, -1, 1, 3
Let b(v) be the first derivative of -5*v**2 + 90 + 1/2*v**4 + 4/3*v**3 - 12*v. Factor b(f).
2*(f - 2)*(f + 1)*(f + 3)
Suppose -12*n = 11*n - 46. Factor -2*p**4 - 5*p**3 + 6223*p**2 + n*p + 0*p**3 - 6224*p**2.
-p*(p + 1)*(p + 2)*(2*p - 1)
Suppose 11*r + 6*r = 34. Suppose -14 = s - 4*n, 0 = r*s - 2*n + 4. Factor -5/3*h**s + 14/3 - 11*h.
-(h + 7)*(5*h - 2)/3
Let q = -46339 - -46344. Determine s so that -1/5*s + 2/5*s**3 - 1/5*s**q + 0*s**4 + 0*s**2 + 0 = 0.
-1, 0, 1
Let i(d) be the third derivative of d**6/30 + 14*d**5/15 - 77*d**4/2 + 144*d**3 - 371*d**2 + 2. Factor i(h).
4*(h - 9)*(h - 1)*(h + 24)
Let j(y) be the second derivative of y**5/120 + 5*y**4/16 + 13*y**3/6 - 53*y**2/2 - y + 2. Let c(v) be the first derivative of j(v). What is s in c(s) = 0?
-13, -2
Let p be ((-2)/(-18))/(31/837). Suppose p*y - 5 = -t + 6, 5*y + 2*t = 19. Factor -5/2*f**2 - 3/2*f**y + 1/2*f**5 + 0 - f + 1/2*f**4.
f*(f - 2)*(f + 1)**3/2
Find o, given that -2/5*o**2 + 5588/5*o - 3903218/5 = 0.
1397
Let u(s) be the third derivative of -s**6/24 + 47*s**5/12 - 175*s**4/3 - 5880*s**3 + 1246*s**2. Factor u(k).
-5*(k - 28)**2*(k + 9)
Let j = 324 - 322. Let m(q) be the third derivative of 0*q - 1/30*q**5 - 1/4*q**4 + 17*q**j - 2/3*q**3 + 0. Factor m(y).
-2*(y + 1)*(y + 2)
Let h(w) be the second derivative of w**5/30 + 101*w**4/18 - 104*w**3/9 - 68*w**2 - 141*w + 3. Let h(k) = 0. Calculate k.
-102, -1, 2
Let v(f) = 2*f**2 - 13*f + 26. Let o be v(3). Let y be 4 + (-83)/30 + (-2)/o. Suppose 1/2 + y*r**2 - 1/6*r**3 - 7/6*r = 0. Calculate r.
1, 3
Let v(c) = 8*c + 48. Let p be v(-5). What is m in -24 + 362*m - 1444*m**2 + p - 58*m = 0?
2/19
Factor 10*j + 5/4*j**2 + 20.
5*(j + 4)**2/4
Let f(a) be the third derivative of a**6/180 + 89*a**5/90 - a**4/4 - 89*a**3 + 731*a**2 + a + 2. Suppose f(q) = 0. Calculate q.
-89, -3, 3
Find b such that 3/2*b**5 + 210936*b**3 - 1125*b**2 - 421875/2*b + 1125*b**4 + 0 = 0.
-375, -1, 0, 1
Let h(s) = -65*s**3 + 20*s**2 + 195*s - 240. Let w(z) = -2*z**3 - 2*z + 1. Let q(p) = h(p) - 30*w(p). Factor q(g).
-5*(g - 9)*(g - 1)*(g + 6)
Let p(t) be the second derivative of 0*t**2 - 2/35*t**5 + 1/14*t**4 - 2*t - 43 + 6/7*t**3 - 1/105*t**6. Let p(m) = 0. Calculate m.
-3, 0, 2
Let o(z) be the third derivative of z**6/90 - 7*z**5/10 - 8*z**4/9 + 443*z**2. Factor o(m).
2*m*(m - 32)*(2*m + 1)/3
Let p(k) = -2*k**2 - 13*k - 20. Let r be p(-10). Let a = r - -92. Determine b so that -13*b - 16 + 2*b**5 + 12*b**4 + b**2 + 3*b**a - 2*b - 9*b + 22*b**3 = 0.
-2, -1, 1
Suppose 25*t + 231 = 28*t. Let u = -75 + t. Suppose 11*h**5 + 9*h**5 - 35*h**4 - 1867*h**u + 1887*h**2 + 5*h**5 - 40*h**3 = 0. Calculate h.
-1, 0, 2/5, 2
Let g = 175/793 + 18693/8723. Determine f so that -4/11*f**2 - g*f + 14/11 = 0.
-7, 1/2
Let o = 36563/135 - 1354/5. Let m(d) be the third derivative of -1/270*d**5 + 0*d + 8*d**2 + 0 + o*d**4 - 1/9*d**3. Find g, given that m(g) = 0.
1, 3
Determine o, given that -266/3 - 262/3*o**2 - 2/3*o**3 + 530/3*o = 0.
-133, 1
Suppose 1548*z = 1377*z + 342. Factor 7 - 11/4*f + 1/4*f**z.
(f - 7)*(f - 4)/4
Suppose 0 = -4*w + 8*j - 136, 624*w - 645*w + 4*j - 30 = 0. Find q, given that w*q**2 - 1/3*q**3 + 2 - 11/3*q = 0.
1, 2, 3
Suppose 16*j - 10*v = 15*j + 1723, -3*j + 5250 = -3*v. Let l = j 