34 = -4*s - 2*r, -4*r - 4 = -t*s - 12. Solve -v**3 - v**2 + 4*v**3 - 27*v - 81 + s*v**2 + 4*v**2 = 0 for v.
-3, 3
Let z = 92 + -89. Suppose -749 = -z*u - 743. Find o such that -3/2*o - 1/2*o**2 + u = 0.
-4, 1
Let j(h) be the second derivative of 21/2*h**3 - 9/10*h**6 - 1/2*h**4 - 2 - 33/10*h**5 + 1/14*h**7 + 33/2*h**2 + 18*h. Factor j(q).
3*(q - 11)*(q - 1)*(q + 1)**3
Suppose 5*m - 72 = -3*y, -4*y + 74*m + 64 = 78*m. Factor -13/4*a - 3/4*a**2 + 5/2 + 5/4*a**3 + 1/4*a**y.
(a - 1)**2*(a + 2)*(a + 5)/4
Let o be (760/1330)/(2/14*6). Factor -34/3*m**2 + 10/3*m**4 + 2/3*m**5 + o*m**3 - 16/3 - 44/3*m.
2*(m - 2)*(m + 1)**3*(m + 4)/3
Let g = 3619/1354 - 794/677. Factor -g*k**2 + 0 - 21/2*k.
-3*k*(k + 7)/2
Let r(i) be the second derivative of -1/120*i**5 + 8 - i - 7/9*i**3 - 2*i**2 - 5/36*i**4. Let r(a) = 0. Calculate a.
-6, -2
Suppose -2*f = -362 + 66. Suppose -4*b = -s - 3*s + 104, -f = -5*s - b. Factor -s + 14*a - 22 - 19*a**2 + 2 + 18*a**2.
-(a - 7)**2
Let a(p) be the second derivative of -p**6/15 - 57*p**5/50 - 71*p**4/15 + 44*p**3/5 + 72*p**2/5 + 1142*p. Let a(n) = 0. Calculate n.
-6, -2/5, 1
Let w(h) = -h**2 + 3*h. Let a(c) = 5*c**3 - 2*c**2 + 3*c - 1. Let j be a(1). Let u(k) = -6*k**2 + 83*k - 1156. Let s(d) = j*w(d) - u(d). Factor s(v).
(v - 34)**2
Let t = -688132 + 688134. Factor 1/3*c**4 + 4/3*c**3 - 7/3*c**t - 10/3*c + 0.
c*(c - 2)*(c + 1)*(c + 5)/3
Solve 6*u**4 + 272*u**2 - 11888*u + 212*u**3 + 11744*u + 14*u**4 = 0.
-9, -2, 0, 2/5
Let b be 3/(-6)*676/65*-5. Suppose 53*j = 66*j - b. Determine x so that 2/3*x**4 + 2/9*x**3 - 4/9*x**j + 0*x + 0 = 0.
-1, 0, 2/3
Let l(p) = 4*p**5 + 18*p**4 - 20*p**3 - 24*p**2 + 15*p + 7. Let z(s) = s**5 - s**4 + s**3 - s**2 - s + 1. Let o(n) = l(n) + z(n). Find t such that o(t) = 0.
-4, -1, -2/5, 1
Let x(u) = -15*u**3 - 51*u**2 - 537*u - 477. Let n(z) = 33*z**3 + 103*z**2 + 1075*z + 953. Let c(l) = 6*n(l) + 13*x(l). Let c(y) = 0. Calculate y.
-7, -1, 23
Find o, given that -597*o**3 - 67*o**5 + 589*o**3 + 69*o**5 - 4*o**4 + 16*o**2 = 0.
-2, 0, 2
Let y(r) be the second derivative of -r**4/60 - 7*r**3/15 + 51*r**2/10 - 319*r. Factor y(a).
-(a - 3)*(a + 17)/5
Let b be 326/20 + (-16 - 0). Let c(x) be the third derivative of 8/3*x**4 + 19/5*x**5 + b*x**6 - 8*x**3 + 0*x + 0 - 34*x**2. Let c(v) = 0. Calculate v.
-6, -2/3, 1/3
Let t(b) be the second derivative of 243*b**6/2 + 20169*b**5/4 + 11025*b**4/2 + 7310*b**3/3 + 540*b**2 + 6*b - 7. Factor t(v).
5*(v + 27)*(9*v + 2)**3
Let g(b) be the third derivative of -1/70*b**7 + 0*b**3 + 0*b - 114 + 5/4*b**4 - 2*b**2 + 1/20*b**6 + 13/20*b**5. Find i such that g(i) = 0.
-2, -1, 0, 5
Let h be 2/(3 + -1)*(0 + 5). Suppose h*z + 0 + 6 = -r, 5*z + 10 = 0. Factor 0 + 0*c + 16/5*c**2 - 4/5*c**r + 12/5*c**3.
-4*c**2*(c - 4)*(c + 1)/5
Let i(g) be the third derivative of g**7/700 + g**6/200 - g**5/25 + 3*g**4/40 + 44*g**3/3 + g**2 - 11. Let k(h) be the first derivative of i(h). Factor k(x).
3*(x - 1)*(x + 3)*(2*x - 1)/5
Let t(l) = -5*l**3 - 146*l**2 - 141*l + 12. Let i(h) = -145*h**2 - 5*h**3 - 7*h + 5 - 68*h + 5 - 65*h. Let y(g) = 6*i(g) - 5*t(g). Let y(u) = 0. Calculate u.
-27, -1, 0
Let q be 3*2/9*3. Suppose -6*g + g + 15 = -k, -g = q*k + 8. Determine u so that 32/13 + 18/13*u**g - 2/13*u**3 - 48/13*u = 0.
1, 4
Let a be ((-6)/(-9))/((-78)/(-936)). Let f(v) be the third derivative of 1/1260*v**7 - 1/360*v**5 + 0 + 0*v**4 + a*v**2 + 0*v**3 + 0*v**6 + 0*v. Factor f(h).
h**2*(h - 1)*(h + 1)/6
Let j(c) = -7*c + 110. Let p be j(16). Let a(l) = l**3 + 2*l. Let q(x) = -2*x**3 + 5*x**2 - 31*x - 125. Let d(i) = p*q(i) - 6*a(i). Factor d(m).
-2*(m - 5)*(m + 5)**2
Factor 2/3*p**2 + 0 + 574/3*p.
2*p*(p + 287)/3
Let p be 3/(-12)*(-8)/(10/(-5)). Let f be -8 - 152/16*p. Factor 3*a**2 - 4*a + 0*a**3 - 1/2*a**4 + f.
-(a - 1)**3*(a + 3)/2
Let j(i) = 58*i**3 - 115*i**2 + 38*i + 13. Let n(y) = -57*y**3 + 110*y**2 - 37*y - 12. Let a(m) = -2*j(m) - 3*n(m). What is f in a(f) = 0?
-2/11, 1
Suppose 67676*l**2 + 9*l - 3*l**5 + 1 - 6*l**3 + 26 - 67718*l**2 + 15*l**4 = 0. What is l?
-1, 1, 3
Suppose 5*m - 1/2*m**3 + 3/2*m**2 - 12 = 0. What is m?
-3, 2, 4
Suppose -3*m = -20 + 5. Let a be (0 + -21)*(-6)/3. Factor -18*d**4 + 23*d - 6 + 22*d**2 + 4*d + 3*d**m + a*d**3 - 70*d**2.
3*(d - 2)*(d - 1)**4
Let u = -137551/4 + 34388. Solve -3/2 - u*o + 1/4*o**2 = 0.
-2, 3
Let w = 207 - 202. Factor -7*g**4 + 3*g + 10*g**3 - 12*g**2 + 4*g**5 + 8*g**3 - w*g**4 - g**5.
3*g*(g - 1)**4
Let r(b) be the third derivative of -b**6/540 + b**5/45 - 5*b**4/108 - 22*b**2 + 141*b. Suppose r(g) = 0. What is g?
0, 1, 5
Suppose 0 = 4*b - 4*z - 4, 5*b - 2*z - 12 = -1. Suppose d - 27 = -3*h, 4*h - b*d - 23 = -0*d. Factor -26 + v**2 - 2*v**2 - 2 - h*v + 12.
-(v + 4)**2
Let i(g) = -92*g + 223. Let k be i(17). Let d = -2667/2 - k. Factor 3/2*f**2 + 9*f + d.
3*(f + 1)*(f + 5)/2
Let v(b) be the third derivative of -b**5/30 - 685*b**4/12 + 3*b**2 + b - 2. Factor v(i).
-2*i*(i + 685)
Let s(x) = -156*x**3 + 3366*x**2 + 751*x + 39. Let q(r) = 2*r**3 - r - 1. Let y(w) = 6*q(w) - 2*s(w). Find d such that y(d) = 0.
-1/9, 21
Let s(b) = 81*b**4 + 1272*b**3 + 649*b**2 - 470*b + 60. Let x(u) = -81*u**4 - 1270*u**3 - 648*u**2 + 471*u - 60. Let v(i) = 5*s(i) + 6*x(i). Factor v(n).
-(n + 1)*(n + 15)*(9*n - 2)**2
Let o be 4/(-3) + 120688/(-24). Let q = -75416/15 - o. Let 2/15*v**3 + 4/3*v**2 + q*v + 16/15 = 0. What is v?
-8, -1
Let a(s) be the first derivative of -14 - 19*s - 10/3*s**3 + 12*s**2 - 1/3*s**4. Let v(b) be the first derivative of a(b). Solve v(x) = 0.
-6, 1
Let t(n) be the second derivative of -440*n**4/63 - 106*n**3/63 - n**2/7 + 39*n - 11. Suppose t(j) = 0. What is j?
-3/40, -1/22
Let c be (-141)/(-45) - (-19 + 35/((-1785)/(-986))). Let -24/5 - 34/5*x + 34/5*x**2 + 66/5*x**3 + c*x**4 - 8/5*x**5 = 0. What is x?
-1, 3/4, 4
Let l(w) = -5*w**2 + 9*w - 4. Let v be l(4). Let c be (6 + -3 + 0)*(-12)/v. Solve c*i**2 - 3/4 + 1/4*i - 1/4*i**3 = 0 for i.
-1, 1, 3
Suppose 3*t = -4*q - 4, 0*q + 24 = t - 5*q. Let w(z) be the first derivative of -12 + 5/12*z**t - 5/3*z + 5/9*z**3 - 5/6*z**2. Let w(p) = 0. Calculate p.
-1, 1
Suppose -335 - 579 = -232*m + 14. Let i = 1 - -2. Let -2/15*s**i + 2/15*s - 2/15*s**2 + 0 + 2/15*s**m = 0. Calculate s.
-1, 0, 1
Let z(y) be the second derivative of 0 + 69*y - 1/3*y**4 - 24*y**2 + 16/3*y**3. Solve z(f) = 0.
2, 6
Let t(c) be the second derivative of -c**4/12 + 4*c**3/3 - 3*c**2 + 21*c. Let u be t(6). What is r in 4*r**4 - 12*r**3 - 22*r + 22*r + 2*r**2 + u*r**2 = 0?
0, 1, 2
Let l(k) = -k**3 - 21*k**2 - 32*k + 127. Let j be l(-19). Suppose -j*i - 5*i = -26*i. Factor i + 0*y + 0*y**2 + 2/11*y**4 + 0*y**3.
2*y**4/11
Let u = 172029 - 2924437/17. Solve 14/17*f + 6/17*f**3 + 36/17 - u*f**2 = 0.
-2/3, 1, 9
Let g(n) = -2*n**4 - n**3 + n**2 + 2. Let t(i) = 10*i**4 - 157*i**3 + 1009*i**2 + 12696*i - 6. Let q(z) = 3*g(z) + t(z). Suppose q(y) = 0. Calculate y.
-6, 0, 23
Let o(f) be the second derivative of -f**4/2 - 994*f**3/3 - 331*f**2 + 3*f + 231. Suppose o(h) = 0. What is h?
-331, -1/3
Let y(d) be the second derivative of -2*d**6/45 + 301*d**5/15 - 7699*d**4/3 + 134398*d**3/9 - 88804*d**2/3 - 46*d - 54. What is r in y(r) = 0?
1, 2, 149
Factor -30*i**4 + 16*i**4 - 6216*i**3 - 8578672*i**2 + 1236824183*i - 728977410882 + 1333924*i**2 - 4989603647*i + 12*i**4.
-2*(i + 777)**4
Let o(t) be the second derivative of -2*t**6/135 + 17*t**5/90 + 236*t**4/27 + 361*t**3/9 + 70*t**2 + 127*t + 29. Determine w so that o(w) = 0.
-10, -3/2, -1, 21
Factor 28/3*x**4 + 0*x**2 + 0 + 2/3*x**5 + 0*x - 64/3*x**3.
2*x**3*(x - 2)*(x + 16)/3
Suppose 94*u**3 + 278/3*u**2 - 26/3*u**5 - 24 - 10*u**4 - 144*u = 0. Calculate u.
-3, -2, -2/13, 1, 3
Suppose -54*y - 48 = -70*y. Determine p so that -381*p**2 - 947*p**3 - 2827*p + 8295*p - 6241 + 950*p**y - 5666 + 6817*p = 0.
1, 63
Let a = -1 - -1. Let q be -4 + (-5688 + 5669)*((-1)/4*1 - 0). Factor 0*v**2 + a*v - q*v**3 + 1/4*v**4 + 0.
v**3*(v - 3)/4
Let a be -1 + 416/23 - (-152)/(-1748). Let g(r) be the second derivative of a*r + 0*r**2 - 2/15*r**6 - 1/5*r**5 + 0*r**3 + 2/3*r**4 + 0. Factor g(d).
-4*d**2*(d - 1)*(d + 2)
Let z(h) be the first derivative of -91 - 65*h**2 + 229/18*h**3 + 1/30*h**5 - 13/12*h**4 + 150*h. Factor z(p).
(p - 10)**2*(p - 3)**2/6
Solve -69*r**3 - 5029/2*r**2 - 1/2*r**4 - 9246*r - 8978 = 0 fo