34*i + 2012. Let w be l(-15). Let u = 223/21 - 31/3. Let -2*a - 18/7*a**w - 4/7 - 10/7*a**3 - u*a**4 = 0. What is a?
-2, -1
Find g such that -43/4*g - 1/2*g**2 + 0 = 0.
-43/2, 0
Suppose 950*b**4 + 49*b**2 + 56*b**2 - 3*b**5 - 438*b**4 + 207*b**3 - 413*b**4 = 0. Calculate b.
-1, 0, 35
Let k(g) be the third derivative of -g**7/70 + 13*g**6/120 + 53*g**5/30 + 43*g**4/6 + 12*g**3 + 242*g**2 + 3. Determine a, given that k(a) = 0.
-2, -2/3, 9
Let y(o) be the third derivative of o**6/60 - 107*o**5/30 + 211*o**4/12 - 35*o**3 - 1206*o**2. Factor y(i).
2*(i - 105)*(i - 1)**2
Suppose y - 4*b = -28, 5*b - 12 - 23 = -5*y. Let p(a) be the third derivative of y*a + 0 + 3/8*a**4 - 9*a**2 + 0*a**5 + a**3 - 1/40*a**6. Factor p(l).
-3*(l - 2)*(l + 1)**2
Let n be 4/18*422 + (-12)/(-54). Determine x so that -194 - 4*x**2 - 388 + 128*x + n - 536 = 0.
16
Let 1779/8*r - 3/8*r**2 + 1785/4 = 0. Calculate r.
-2, 595
Factor 208033/2*j + 3/2*j**3 - 1579/2*j**2 - 69169/2.
(j - 263)**2*(3*j - 1)/2
Let y(g) be the second derivative of -g**6/10 + 237*g**5/20 + 165*g**4/4 - 243*g**3/2 - g + 236. Suppose y(r) = 0. What is r?
-3, 0, 1, 81
Suppose 396*c - 386*c - 10 = 40. Factor -51/2*d**3 + 0*d - 6*d**c + 0 - 6*d**2 - 30*d**4.
-3*d**2*(d + 4)*(2*d + 1)**2/2
Let n(f) be the third derivative of f**6/900 - 11*f**5/300 + f**4/6 - 4*f**3/3 - 41*f**2. Let t(a) be the first derivative of n(a). Factor t(g).
2*(g - 10)*(g - 1)/5
Let z(w) be the first derivative of -w**6 - 2*w**5/5 + 5*w**4/6 - 2*w**3/9 + 589. Find u such that z(u) = 0.
-1, 0, 1/3
Suppose 2*u + 10*u - 24 = 0. Factor -32 - 39*y - 50*y + 77*y + u*y**2.
2*(y - 8)*(y + 2)
Let c(a) = -15575*a**3 - 6525*a**2 - 140*a. Let m(g) = -2225*g**3 - 932*g**2 - 20*g. Let z(p) = -8*c(p) + 55*m(p). Factor z(i).
5*i*(5*i + 2)*(89*i + 2)
Let o = -22/209685 + 102706/29955. Let 0*m + 3/7*m**4 + o*m**3 + 0 + 36/7*m**2 = 0. What is m?
-6, -2, 0
Let r = 799 + -796. Suppose 85 - 16*b**2 + 4*b**3 + 0*b**4 + 2*b**4 - 103 + 3*b**4 - 36*b - r*b**4 = 0. What is b?
-3, -1, 3
Let f = -974 - -814. Let u be ((-2)/25)/(16/f). Solve 8/5*k - u*k**3 + 0 + 4/5*k**2 = 0.
-1, 0, 2
Let 8*x**2 + 862*x - 16*x**2 - 3704 + 3233*x - 386 + 3*x**2 = 0. Calculate x.
1, 818
Find g such that -26/5*g + 56 - 2/5*g**2 = 0.
-20, 7
Let v = -29551/110 - -15518/55. Determine q so that -3*q**2 + 171/2*q**4 + v - 117/2*q + 141*q**3 + 27/2*q**5 = 0.
-3, -1, 1/3
Let l be 3/(-2)*6*(-4)/(-36). Let u(h) = -50*h - 46. Let m be u(l). Find t, given that 4/9*t**2 - 8/9*t**5 - 2/9*t**m - 2/9 + 16/9*t**3 - 8/9*t = 0.
-1, -1/4, 1
Let j(p) be the third derivative of 0*p**5 + 20 + 0*p**3 + 0*p - 1/24*p**4 + 1/120*p**6 - 2*p**2. Factor j(v).
v*(v - 1)*(v + 1)
Let i(v) be the third derivative of 2/735*v**7 - 5/42*v**4 + 1/42*v**6 + 1/35*v**5 - 8/21*v**3 + 0*v - 16 - v**2. Factor i(q).
4*(q - 1)*(q + 1)**2*(q + 4)/7
Let r = -627389/6 - -104565. Let 1/2*q**2 - 1/6*q + r*q**3 - 1/2 = 0. Calculate q.
-3, -1, 1
Let t = -2806 - -117853/42. Let k(v) be the third derivative of -12*v**2 + 0 - 25/2*v**4 + 0*v - 13/12*v**5 - 30*v**3 - t*v**7 + 5/12*v**6. Factor k(y).
-5*(y - 6)**2*(y + 1)**2
Let t(d) be the third derivative of -d**6/120 - d**5/30 + 13*d**4/8 - 12*d**3 - 138*d**2 + 7*d. Find u such that t(u) = 0.
-8, 3
Let s(i) be the second derivative of -i**5/10 + 67*i**4/6 + 316*i**3 - 77*i - 16. Find f such that s(f) = 0.
-12, 0, 79
Suppose 78*w = 120*w - 163 + 37. Let m(a) be the first derivative of 9/8*a**2 - 30 + 0*a + 1/4*a**w. Solve m(q) = 0.
-3, 0
What is x in 56*x - 183*x + 211 - 3*x**3 + 84*x**2 - 170*x + 5 = 0?
1, 3, 24
Factor 20*d**4 - 10*d + 25*d**4 - 12 + 22*d**4 + 28*d**4 + 14*d**2 + 10*d**3 - 97*d**4.
-2*(d - 6)*(d - 1)*(d + 1)**2
Let t(o) = 18310*o + 347895. Let p be t(-19). Factor -5*s**2 + p + 1/2*s - 1/2*s**3.
-(s - 1)*(s + 1)*(s + 10)/2
Let h(w) = 25*w + 10. Let t be h(5). Suppose 8*o = -o + t. Factor -o - 10*n + 4*n + 5*n**2 + n - 5*n.
5*(n - 3)*(n + 1)
Let q(o) be the third derivative of -16/35*o**7 - 972*o**3 + 82/15*o**6 - 567/2*o**4 - 29*o**2 - 18/5*o**5 + 0*o + 1 + 1/84*o**8. Suppose q(m) = 0. Calculate m.
-2, -1, 9
Let g**4 - 937*g - 132*g**2 + 471*g + 176 - 41*g**3 + 462*g = 0. What is g?
-2, 1, 44
Suppose -d - 9 = -3*k, 79*k = 80*k + d - 11. Suppose 14/3 + 1/3*w**2 - k*w = 0. Calculate w.
1, 14
Let i(t) = -t**2 + 23*t - 108. Let w be i(7). Suppose w*p - 8 = -0*p + k, 2*k - 8 = -4*p. Factor -1/2*a**5 - 1/2*a**3 - 5*a**2 + 2*a**4 + p*a + 4.
-(a - 2)**3*(a + 1)**2/2
Let q = -19439/18 - -9814/9. Solve 3 + 3/2*k**4 + q*k**3 - 3/2*k - 3*k**5 - 21/2*k**2 = 0 for k.
-2, -1/2, 1
Let -82140*m**2 + 0 - 1/5*m**4 + 222*m**3 + 10130600*m = 0. Calculate m.
0, 370
Let l(r) be the first derivative of r**5/4 + 645*r**4/8 - 4935. Factor l(u).
5*u**3*(u + 258)/4
Suppose 3*z - 41661 = -3*b, 2*z - 33798 = 5*b - 6017. Factor -68 + 13850*t + 429 - z*t + t**2.
(t - 19)**2
Let x(i) be the third derivative of i**7/4200 + i**6/50 - i**5/8 - 28*i**4/3 + 11*i**2 - 1. Let p(l) be the second derivative of x(l). Factor p(w).
3*(w - 1)*(w + 25)/5
Let w(t) = -3*t**3 + 6*t. Let q(n) = 2*n**3 + 867*n**2 - 250569*n + 24137569. Let k(c) = 5*q(c) + 5*w(c). Factor k(o).
-5*(o - 289)**3
Let p = -544768 + 5992450/11. Factor 98/11 + 4*n**2 - 24/11*n**3 + p*n**4 + 168/11*n.
2*(n - 7)**2*(n + 1)**2/11
Let c(w) = 2*w**2 - w + 2. Let y(d) = 3*d - 6. Let z be y(2). Let t be c(z). Determine m so that -m**2 + t*m + 2957*m**3 + 0*m**4 + m**4 - 2959*m**3 = 0.
-1, 0, 1, 2
Let z be (3/(-4))/((-405)/29232). Let b = -264/5 + z. Suppose -13/9*r + 36*r**4 - 2/9 + 23*r**3 + b*r**2 = 0. What is r?
-1/3, -2/9, 1/4
Factor 3132/13 + 2/13*u**3 + 336/13*u**2 - 2070/13*u.
2*(u - 3)**2*(u + 174)/13
Let x(i) = 5*i**2 - 115*i + 636. Let o(j) = 45*j**2 - 1035*j + 5725. Let s(b) = -6*o(b) + 55*x(b). Let s(c) = 0. Calculate c.
9, 14
Let k(m) be the third derivative of -110*m**2 + 0 + 0*m + 1/120*m**5 - 1/48*m**4 - 1/6*m**3. Suppose k(z) = 0. Calculate z.
-1, 2
Suppose -2*d = 3*i + 13, -2*d - 4*i = 4 + 4. Let n be 13 + -10 - 822/d. Factor -36/7*u**2 - n + 216/7*u + 2/7*u**3.
2*(u - 6)**3/7
Suppose 0 = -13*p + 23*p + 3240. Let h = -324 - p. Factor 18/7*l**3 + 0*l + 4/7*l**2 + 10/7*l**5 + 24/7*l**4 + h.
2*l**2*(l + 1)**2*(5*l + 2)/7
Let r(v) be the third derivative of v**5/50 - 11*v**4/20 - 12*v**3/5 + 347*v**2. Let r(h) = 0. Calculate h.
-1, 12
Let z(d) be the third derivative of 1/3*d**3 + 0 + 1/30*d**5 - 94*d**2 - 1/6*d**4 + 0*d. Factor z(j).
2*(j - 1)**2
Let h(v) be the third derivative of -4*v**7/147 + 33*v**6/140 + v**5/42 - 3458*v**2. Find g such that h(g) = 0.
-1/20, 0, 5
Let g(t) = 2*t - 28. Let y be g(17). Determine h, given that -y*h - 4 + 22*h**2 + 35*h**4 - 16 + 6*h**3 - 37*h**4 = 0.
-2, -1, 1, 5
Let j = 356987 + -356985. Factor 8/3 - 2*w**j - 1/3*w**4 - 5/3*w**3 + 4/3*w.
-(w - 1)*(w + 2)**3/3
Suppose 15 + 23 = 34*j + 56 - 18. Determine b, given that 3/2*b**4 + 3/2*b + j + 9/2*b**2 + 9/2*b**3 = 0.
-1, 0
Determine b, given that 495*b - 3/2*b**2 - 81675/2 = 0.
165
Let v(d) be the first derivative of -9*d**3 - 219*d**2/8 - 3*d/2 + 436. Let v(y) = 0. Calculate y.
-2, -1/36
Let t(n) be the second derivative of n**6/10 + n**5 - 2*n**2 - 35*n. Let k(f) = 11*f**4 + 80*f**3 - 18. Let l(i) = 2*k(i) - 9*t(i). Let l(o) = 0. Calculate o.
-4, 0
Let f(v) = v**3 + 201*v**2 - 1659*v - 91. Let x be f(8). Factor 20 + 14/5*l**2 - 1/5*l**3 - x*l.
-(l - 5)**2*(l - 4)/5
Let i = -2206 - -1972. Let o be (i/63)/(-13)*2. Factor 8/7 - 6/7*m**2 - 8/7*m + o*m**3 + 2/7*m**4.
2*(m - 1)**2*(m + 2)**2/7
Factor -36209*h**4 + 18104*h**4 - 3 + 7*h**3 + 18104*h**4 + 33*h + 41*h**2 + 3.
-h*(h - 11)*(h + 1)*(h + 3)
Let c(z) = -z**2 + 23*z - 10. Let l be c(18). Let s be (-16)/l - 6/(-15). Factor 1/5*w**2 - s*w**3 + 0 - 1/5*w**4 + 1/5*w.
-w*(w - 1)*(w + 1)**2/5
Let x be 2/8 + (9/(-12))/(-1). Let s be x/12*93 + 2/8. Determine z so that -10*z**2 + 25*z + z + s - 6*z - 18*z**2 = 0.
-2/7, 1
Let 320/13*y + 6/13*y**2 - 108/13*y**3 - 216/13 - 2/13*y**4 = 0. Calculate y.
-54, -2, 1
What is n in -44/13*n**2 + 194/13*n**3 + 0 - 136/13*n**4 - 14/13*n**5 + 0*n = 0?
-11, 0, 2/7, 1
Let d(p) be the first derivative of p**3/4 - 4965*p**2/4 + 8217075*p/4 + 2597. Factor d(q).
3*(q - 1655)**2/4
Let 2/9*x**2 - 1036/3 - 1550/9*x = 0. Calculate x.
-2, 777
Let b = -8863 + 8863. Let i(h) be the third