77)*(a - 1)/11
Let s be (-4 - 245330/(-61065))/(1/203). Let q = -2/1357 + s. Factor 8/3*c**2 + 16/3*c + 4/9*c**3 + q.
4*(c + 2)**3/9
Let c(j) be the second derivative of j**7/42 - 83*j**6/30 - 51*j**5/4 - 257*j**4/12 - 43*j**3/3 - 3*j - 43. Factor c(r).
r*(r - 86)*(r + 1)**3
Solve 204/7*u**3 + 4/7*u**4 + 64/7 - 68/7*u**2 - 192/7*u - 12/7*u**5 = 0.
-4, -1, 1/3, 1, 4
Let d(p) = 2*p**2 + 25*p - 9. Let l = 43 - 56. Let f be d(l). Solve 340*t - 60 - 840*t**3 - 195*t**2 - 175*t**4 + 117*t**4 - 187*t**f = 0 for t.
-3, -1, 2/7
Determine o, given that 8/11*o**4 + 0 + 88620/11*o**2 - 1682/11*o**3 - 22050/11*o = 0.
0, 1/4, 105
Let l = 10402 + -10371. Let u(g) be the first derivative of l + 7/11*g**2 - 2/33*g**3 - 12/11*g. Factor u(j).
-2*(j - 6)*(j - 1)/11
Let y be 7/7 - (-34 - -33). Let q(h) be the second derivative of -1/12*h**4 - 4*h + 0 - h**y - 1/2*h**3. What is l in q(l) = 0?
-2, -1
Let v = -144952524711/48920 - -14815264/5. Let r = v + 2/1223. Factor -3/8*g**2 + 0 - r*g.
-3*g*(g + 1)/8
Let l(c) be the third derivative of c**8/5040 - c**7/90 - c**6/12 - 2*c**5/15 + 26*c**2. Let n(g) be the third derivative of l(g). Factor n(v).
4*(v - 15)*(v + 1)
Find t, given that 1888/5*t - 6962/15*t**2 - 384/5 = 0.
24/59
Suppose -2*b + 116 = -5*d + 6, 2*b + 4*d = 110. Factor 2*x**4 - 19*x**2 - 2*x**4 + 3*x**4 + 216*x - 30*x**3 + b*x**2.
3*x*(x - 6)**2*(x + 2)
Let y(s) be the second derivative of s**5/10 - 4*s**4/3 + 11*s**3/3 + 20*s**2 - 2116*s. Factor y(v).
2*(v - 5)*(v - 4)*(v + 1)
Let p(q) be the third derivative of q**6/24 - q**5/6 - 25*q**4/8 + 30*q**3 - q**2 + 381. Suppose p(g) = 0. Calculate g.
-4, 3
Suppose -5885*u + 1398 + 552 + 3647 - 5*u**2 + 779 - 486 = 0. What is u?
-1178, 1
Find k such that -12/11*k**4 + 144/11*k**2 + 216/11*k - 2/11*k**3 + 32/11 = 0.
-2, -1/6, 4
Factor -665*f**4 + 50*f**4 - 2766*f**2 + 992*f**3 - 507 + 638*f**3 - 978*f**3 + 1250*f**3 + 1911*f + 75*f**5.
3*(f - 1)**3*(5*f - 13)**2
Let j be 5 + ((-44)/(-4) - -4). Factor 43*s**2 - 21*s**2 + 2*s**2 + 4*s**3 + j*s.
4*s*(s + 1)*(s + 5)
Let r(x) be the second derivative of 1/112*x**7 + 0*x**2 - 1 + 0*x**4 + 0*x**3 + 8*x - 1/80*x**6 + 0*x**5. Factor r(h).
3*h**4*(h - 1)/8
Let s(p) = p**2 - 21*p - 91. Let n be s(21). Let c be (n + 93)/(24/10). Factor c*k**3 + 0 + 0*k - 1/3*k**2 - 1/2*k**4.
-k**2*(k - 1)*(3*k - 2)/6
Let x(r) be the first derivative of -2*r**3/27 - 134*r**2/3 + 2712. Solve x(u) = 0 for u.
-402, 0
Find x such that 1312*x**2 + 252 + 505*x**4 + 922*x**4 - 3699*x**4 - 2621*x**4 + 3329*x**2 - 3315*x**3 - 225*x**5 + 3540*x = 0.
-21, -1, -2/3, -2/25, 1
Let g be 8*7/700 - (-58968)/72900. What is l in 48*l**4 + 100*l**2 - 146/9*l + g - 216*l**3 = 0?
1/6, 4
Let r(k) = -k**4 - k**2 + k + 1. Let p(g) = 68*g**3 + 56*g**2 - 64*g - 60. Let m(s) = -p(s) + 4*r(s). Find o, given that m(o) = 0.
-16, -1, 1
Suppose -2358 = -1712*m + 533*m. Find z, given that 18/7*z**m + 0*z + 2/7*z**3 + 0 = 0.
-9, 0
Let h = 82 - 82. Suppose 25*o - 24*o - 2 = h. Factor 1/2*w**o + 0*w + 1/6*w**3 - 2/3.
(w - 1)*(w + 2)**2/6
Suppose -t = -4*l - 10 - 10, 3*t = 3*l + 24. Let p be -2*(l + (-55)/25 - -6). Factor p*h**2 - 6/5*h + 0.
2*h*(h - 3)/5
Suppose 0 = 10*l + 11*l - 63. Let 49*g**3 - 36*g**l - 12*g**3 + 6*g - 4*g**2 - 3*g = 0. Calculate g.
0, 1, 3
Suppose 12 = -3*y - 121*m + 123*m, m - 6 = -2*y. Factor -50/7*n**3 - 52/7*n**2 + y - 2/7*n.
-2*n*(n + 1)*(25*n + 1)/7
Let d(g) be the second derivative of g**7/14 - 3*g**6/5 + 27*g**5/20 + g**4 - 6*g**3 + 561*g. Factor d(q).
3*q*(q - 3)*(q - 2)**2*(q + 1)
Let s be ((-44)/(-154) - 3/(-14))*-52. Let q be (-2844)/572 - -5 - 4/s. Suppose q*o**2 - 48/11*o + 288/11 = 0. Calculate o.
12
Let o(v) = v**3 + 2*v**2 - v - 2. Let f(a) = 2*a**5 - 32*a**4 + 145*a**3 - 38*a**2 - 647*a - 430. Let w(u) = 2*f(u) + 2*o(u). Find i such that w(i) = 0.
-1, 6
Suppose 374 + 118*v**2 - 250*v - 122*v + 130*v**2 - 250*v**2 = 0. What is v?
-187, 1
Let c = -842/189 + 1304/189. Determine i so that c - 2/9*i**2 - 20/9*i = 0.
-11, 1
Let m = -3/19142 + -8795743/38284. Let b = m + 231. Factor 3/4*d**3 + 1/2 - 3/4*d - 7/4*d**2 + b*d**4.
(d - 1)*(d + 1)**2*(5*d - 2)/4
Let b be 82/574 + (300/(-140))/(-1 - 0). Factor 4/7*y + b - 2/7*y**2.
-2*(y - 4)*(y + 2)/7
Let l be (-520)/1352 + 51/65. Factor l*t + 0 + 11/5*t**2.
t*(11*t + 2)/5
Suppose 4*h + 30*l - 8 = 26*l, l + 22 = 3*h. Let n(f) = -33*f + 202. Let y be n(h). Let 1/7*v + 1/7*v**y - 2/7*v**3 + 1/7*v**5 + 1/7 - 2/7*v**2 = 0. What is v?
-1, 1
Let k(p) = -1186*p + 15420. Let i be k(13). Factor 8/3*h - 2/3*h**i - 8/3.
-2*(h - 2)**2/3
Let u = -175886 + 175888. Find m such that 4/7*m - 6/7 + 2/7*m**u = 0.
-3, 1
Let l be (-18)/(-10) + -10 + 9. Let v = -24017 - -24020. Suppose -n - 1/5*n**v + 2/5 + l*n**2 = 0. What is n?
1, 2
Let v = -986 - -991. Let q(u) be the second derivative of 1/2*u**3 + 0 + 4*u + 3/20*u**v + 0*u**2 - 1/2*u**4. Solve q(s) = 0.
0, 1
Suppose -84*z = 66*z - 300. Find n, given that -5/3*n**3 - 4 + 1/3*n**z - 1/3*n**4 + 17/3*n = 0.
-4, -3, 1
Let x = 4236 - 4205. Let c(r) be the second derivative of 0 + 3/10*r**5 + 0*r**2 - 4/3*r**3 + x*r - 2/3*r**4. Solve c(k) = 0 for k.
-2/3, 0, 2
Let m(g) be the third derivative of -g**5/80 - 47*g**4/8 - 93*g**3/2 - 43*g**2 - 5*g. Factor m(x).
-3*(x + 2)*(x + 186)/4
Let s(c) = 3*c**3 + 21*c**2 - 53*c - 267. Let v be s(-3). Factor 18/11*k**5 + 2/11*k**2 + 6/11*k**4 - 10/11*k**3 + 0 + v*k.
2*k**2*(k + 1)*(3*k - 1)**2/11
Suppose 0 = 99*t - 94*t + 100. Let h = -18 - t. What is y in 3/7*y**3 - 3/7*y - 3/7 + 3/7*y**h = 0?
-1, 1
Factor 0 - 11007432/5*l - 9384/5*l**2 - 2/5*l**3.
-2*l*(l + 2346)**2/5
Suppose 2/7*r**3 - 64/7 + 130/7*r - 68/7*r**2 = 0. Calculate r.
1, 32
Let g(p) be the second derivative of -p**5/40 - 67*p**4/6 - 265*p**3/12 + 267*p**2/2 - 23*p + 8. Suppose g(u) = 0. Calculate u.
-267, -2, 1
Let s(x) = 2180*x**3 - 116615*x**2 - 239795*x - 121005. Let l(d) = d**4 + 1090*d**3 - 58308*d**2 - 119897*d - 60503. Let m(z) = 5*l(z) - 3*s(z). Factor m(h).
5*(h - 110)**2*(h + 1)**2
Let q be (4 + 10/(-4))*-2. Let s(g) = -7*g**2 - g + 11. Let j = 26 + -36. Let b(z) = 22*z**2 + 2*z - 34. Let u(f) = j*s(f) + q*b(f). Factor u(c).
4*(c - 1)*(c + 2)
Let l(z) = 135*z**3 - 558*z**2 - 567*z - 117. Let q(w) = 271*w**3 - 1121*w**2 - 1132*w - 235. Let t(d) = -5*l(d) + 3*q(d). Find r, given that t(r) = 0.
-1/2, -8/23, 5
Find c such that -648/7*c - 636/7 + 465/7*c**2 + 9/7*c**3 = 0.
-53, -2/3, 2
Solve 565*r - 3*r**2 - 2*r**2 + 338 + 140*r + 1092 = 0 for r.
-2, 143
Let r(n) = 2*n**3 + 2*n**2 - 11*n - 11. Let a(g) = 2*g**2 + g - 1. Let h(z) = -3*a(z) + r(z). What is b in h(b) = 0?
-1, 4
Let q be (-1612)/117 - -14 - 28/(-63). Let y(t) be the first derivative of 29 + 4*t + q*t**3 + 1/4*t**4 - 7/2*t**2. Solve y(v) = 0 for v.
-4, 1
Let v = 335011 - 335011. Find o, given that 18/11*o**3 + 0 - 6/11*o**2 - 18/11*o**4 + 6/11*o**5 + v*o = 0.
0, 1
Let g(d) be the second derivative of d**4/78 - 6*d**3/13 + 17*d**2/13 + 3426*d. Determine w so that g(w) = 0.
1, 17
Let h(b) be the third derivative of -b**6/240 + 4*b**5/15 - 325*b**4/48 + 169*b**3/2 + b**2 - 11*b - 59. Factor h(j).
-(j - 13)**2*(j - 6)/2
Let v be 4200/336 - -2*(-4)/(-8). Factor -3/4*k**2 - 57/4*k - v.
-3*(k + 1)*(k + 18)/4
Let v = 72 + -69. Let -4876*q**2 - 8*q**v + 4*q**4 + 4876*q**2 = 0. What is q?
0, 2
Let y be 28/(-7)*(-46)/(-8). Let a = 37 - y. Suppose -32*f + 19*f**2 - 144*f**5 + 146*f**3 - a*f**4 - 8 - 4*f**2 + 23*f**2 = 0. What is f?
-1, -1/2, -1/4, 2/3
Let j(p) be the first derivative of -3*p**4/20 - 2*p**3/5 + 129*p**2/10 - 24*p + 2253. Factor j(d).
-3*(d - 5)*(d - 1)*(d + 8)/5
Let g(j) be the second derivative of j**5/90 - 17*j**4/27 + 224*j**3/27 - 416*j**2/9 + 114*j. Factor g(c).
2*(c - 26)*(c - 4)**2/9
Suppose 9*s = -s + 70. Suppose -o = 2*v + 1, -4*v - 4 = s*o - 3*o. Find h, given that 0*h**2 + 0 + v*h + 12/5*h**4 - 3/5*h**5 - 12/5*h**3 = 0.
0, 2
Let y(h) be the second derivative of h + 19*h**2 + 22 - 1/12*h**4 - 37/6*h**3. Find b, given that y(b) = 0.
-38, 1
Let n be 2*4/(64/40). Suppose 36*a**3 - 32*a**n - 11*a**2 - 11*a**2 + 40*a**4 + 22*a**2 + 36*a**5 = 0. Calculate a.
-9, -1, 0
Let x(v) = 940*v + 12*v**3 - 36*v**2 - 19*v**2 + 15*v**2 - 1016*v. Let g(u) = 4*u**3 - 13*u**2 - 26*u. Let t(h) = 8*g(h) - 3*x(h). Find k, given that t(k) = 0.
-1, 0, 5
Let x be 1/(