16*-4 + (54/12 - 4). Let i(m) be the second derivative of -5/12*m**4 - 5*m**3 + w*m**2 - 24*m + 0. Solve i(q) = 0 for q.
-7, 1
Let i(g) be the first derivative of g**4/6 + 11*g**3/9 + 13*g**2/6 + 4*g/3 + 366. Factor i(x).
(x + 1)*(x + 4)*(2*x + 1)/3
Let k be 168/(-48)*(-6)/360. Let z(j) be the second derivative of -1/24*j**3 - 1/4*j**2 + k*j**6 - 19/80*j**5 + 0 + 5/16*j**4 - 7*j. Factor z(p).
(p - 1)**3*(7*p + 2)/4
Let a(b) be the first derivative of 2*b**5/15 - 14*b**4 + 110*b**3/3 - 82*b**2/3 - 2384. What is h in a(h) = 0?
0, 1, 82
Let l(c) be the first derivative of 1/10*c**4 + 0*c - 17/5*c**2 - 32/15*c**3 - 170. Factor l(d).
2*d*(d - 17)*(d + 1)/5
Let y(i) = -2*i**2 + 2*i - 2. Let j(l) = 7*l**2 + 2806*l + 1976842. Let g(w) = j(w) + 3*y(w). Factor g(r).
(r + 1406)**2
Let y(n) = -n**3 - 9*n**2 - 2*n - 20. Let a be y(-9). Let w be (a/(20/6))/(73/(-365)). Factor -72*h**3 - 4*h**w + 106*h**2 + 18*h**4 - 44*h - 10*h - 2*h + 8.
2*(h - 2)*(h - 1)**2*(9*h - 2)
Let t(l) be the second derivative of -27*l**5/100 - 17*l**4/10 + 436*l**3/5 - 288*l**2/5 - 2286*l. Suppose t(x) = 0. Calculate x.
-12, 2/9, 8
Suppose 0*h**2 + 5900*h + 2*h**2 - 5768*h + 2178 = 0. Calculate h.
-33
Let b(m) be the third derivative of 11*m**2 + 1078/45*m**5 + 0*m + 0 + 8/9*m**3 + 343/10*m**7 + 56/9*m**4 + 686/15*m**6. Suppose b(i) = 0. What is i?
-2/7, -2/21
Let u(g) = -9*g**4 + 1297*g**3 + 2901*g**2 + 1899*g + 292. Let x(c) = -c**3 + 2*c**2 - c. Let r(i) = -2*u(i) - 6*x(i). Determine h, given that r(h) = 0.
-1, -2/9, 146
Let z(i) be the second derivative of 1/50*i**6 - 3/20*i**4 + 1/5*i**2 + 1/100*i**5 + 1/10*i**3 - 103*i + 0. Factor z(u).
(u - 1)**2*(u + 2)*(3*u + 1)/5
Suppose 42294*u - 24 = 42288*u. Factor 4/3*p**2 + 8/3*p - u.
4*(p - 1)*(p + 3)/3
Factor 54 + 2/5*k**3 + 222/5*k - 46/5*k**2.
2*(k - 15)*(k - 9)*(k + 1)/5
Let k(r) = -17*r - 93. Let m be k(-6). Suppose -5*q + z = -15, -8*q - 4*z = -m*q - 16. Find p, given that 0 + 1/6*p**q - 1/3*p - 1/2*p**2 + 0*p**3 = 0.
-1, 0, 2
Let o = -1120703 + 1120713. Solve -11/3*x + o + 1/3*x**2 = 0 for x.
5, 6
Let w(a) = 1605*a**2 - 1590*a + 9. Let b(k) = -7*k - 1. Let s(f) = 3*b(f) + w(f). Determine p so that s(p) = 0.
2/535, 1
Let h = -30883/279 + 3459/31. Find v, given that h*v + 0 + 4/9*v**3 + 4/3*v**2 = 0.
-2, -1, 0
Suppose -9*x + 177 = -165. Suppose -2*g = 4*t - x, 5*t - 31 = g - 2*g. Let -3*o**2 + 7*o**2 - 16 + g*o + o = 0. What is o?
-4, 1
Suppose -8*g = 13682 - 2490. Let s = -1396 - g. Suppose -3/7*u**2 + 0*u**s + 0 + 2/7*u + 1/7*u**4 = 0. Calculate u.
-2, 0, 1
Find v, given that 0 - 2/3*v**3 - 2/3*v**4 + 16/3*v**2 + 8*v = 0.
-2, 0, 3
Let u be 1 + (-1)/(3/18*-2). Determine y so that 5 - 947*y**4 - 10*y**2 - 936*y**u + 1888*y**4 = 0.
-1, 1
Let j(d) = 4*d**3 + 44*d**2 + 81*d + 36. Let u(b) = -2*b**3 - 22*b**2 - 40*b - 18. Let k = 98 - 100. Let h(y) = k*j(y) - 5*u(y). Factor h(w).
2*(w + 1)**2*(w + 9)
Let q(n) be the third derivative of n**8/840 - n**7/420 - n**6/45 + n**5/15 + 25*n**3/3 - 3*n**2 - 13*n. Let m(b) be the first derivative of q(b). Factor m(r).
2*r*(r - 2)*(r - 1)*(r + 2)
Suppose -3/4*z**3 + 87/2 - 351/4*z + 45*z**2 = 0. Calculate z.
1, 58
Suppose 1/4*g**3 - 1587/2 - 13*g**2 + 805/4*g = 0. Calculate g.
6, 23
Let v(m) be the second derivative of -m**9/7560 - m**8/240 + m**7/84 - m**4/4 - m**2 - 119*m. Let p(f) be the third derivative of v(f). Solve p(d) = 0.
-15, 0, 1
Let c(a) be the third derivative of -5*a**8/336 + 3*a**7/14 - 5*a**6/8 + 7*a**5/12 + 700*a**2. Factor c(u).
-5*u**2*(u - 7)*(u - 1)**2
Suppose 0 = 4*i + 48, 0 = -2*f + 4*i + 6*i - 5*i + 76. Factor -2/3*g**2 + f*g + 26/3.
-2*(g - 13)*(g + 1)/3
Let r(m) be the first derivative of m**2 - 1/6*m**4 + 13 + 15*m + 1/20*m**5 - 1/6*m**3. Let q(k) be the first derivative of r(k). Factor q(n).
(n - 2)*(n - 1)*(n + 1)
Let n(g) = g**3 - 1132*g**2 + 75983*g + 588826. Let m(z) = 2*z**3 - 1132*z**2 + 75982*z + 588784. Let y(s) = 3*m(s) - 2*n(s). Factor y(o).
4*(o - 145)**2*(o + 7)
Let b(m) be the second derivative of -m**7/210 - 2*m**6/75 - m**5/20 - m**4/30 + m - 332. Let b(i) = 0. Calculate i.
-2, -1, 0
Let g be ((-33)/((-726)/308))/(6 + 5). Let g*b**2 + 6/11 + 16/11*b + 4/11*b**3 = 0. Calculate b.
-3/2, -1
Let b(m) be the first derivative of -m**4/126 + 4*m**3/7 - 108*m**2/7 + 91*m - 141. Let j(y) be the first derivative of b(y). Suppose j(g) = 0. What is g?
18
Let b(l) be the first derivative of -16 + 2/5*l**5 + 0*l**2 + 0*l**3 + 1/15*l**6 + 2/3*l**4 - 21*l. Let c(t) be the first derivative of b(t). Factor c(i).
2*i**2*(i + 2)**2
Let c(n) be the third derivative of 19*n - 25/33*n**3 + 1/660*n**6 - 1/30*n**5 - n**2 + 35/132*n**4 + 0. Determine g so that c(g) = 0.
1, 5
Let k(i) be the second derivative of 1/4*i**4 - 1/14*i**7 + 6*i**2 - 4 + 4*i**3 + 6*i - 21/20*i**5 - 1/2*i**6. Find l such that k(l) = 0.
-2, -1, 1
Suppose -5*c = -5*r - 95, 2*r = -2*c + 7*r + 53. Factor 18 - 2 - 9*q**2 - c*q + 7*q**2.
-2*(q - 1)*(q + 8)
Determine m, given that -1060*m**3 + 1160 - 2920*m - 5/2*m**5 + 2660*m**2 + 325/2*m**4 = 0.
1, 2, 58
Let s(l) be the third derivative of l**6/30 + 88*l**5/15 - 271*l**4/6 + 364*l**3/3 + 101*l**2 - l. Factor s(b).
4*(b - 2)*(b - 1)*(b + 91)
Let f(a) = 10*a**2 - 3*a - 1. Let z be f(-2). Suppose 48*b - z*b = 12. Factor b*n**2 + 2*n**2 + 16*n - 7*n**2 - 16 - 3*n**2.
-4*(n - 2)**2
Let o(w) be the third derivative of 3*w**6/10 + 632*w**5/15 + 682*w**4/3 + 544*w**3/3 + 1195*w**2. Factor o(m).
4*(m + 2)*(m + 68)*(9*m + 2)
Let m be 64/612 + 38*(-21)/(-6783). Factor 10/9*p - m*p**2 + 4/3.
-2*(p - 6)*(p + 1)/9
Suppose 24*s + 37 = 2*s + 169. Let p(y) be the first derivative of 0*y**4 + 6/25*y**5 - 1/10*y**s - 2/5*y**3 + 0*y + 3/10*y**2 + 22. Factor p(b).
-3*b*(b - 1)**3*(b + 1)/5
Let w be (-73)/(-5) - (-52)/130. Let y(x) = x**2 - 22*x + 105. Let h be y(w). Factor 1/2*q**3 + h + 1/2*q + q**2.
q*(q + 1)**2/2
Suppose -t - t = -10. Let x(u) = 200*u + 402. Let r be x(-2). Find b such that -6*b + 3*b - b**r - t*b - 3*b**2 = 0.
-2, 0
Let p be -3 + ((-39)/(-15) - -1). Let y be 8460/144 + -59 - 41/(-20). Factor -p - y*u**3 + 9/5*u + 3/5*u**2.
-3*(u - 1)*(u + 1)*(3*u - 1)/5
Suppose -4*u = -20, 0 = 5*h - 7*u + 4*u + 15. Let k(g) = g**3 - g**2 - 2*g + 2. Let c be k(h). Factor y - 8*y**2 + 0*y**c - 3*y.
-2*y*(4*y + 1)
Let 1387*v**2 + 210 + 44*v**4 - 167*v**2 - 34*v**4 - 15*v**5 + 369*v**3 + 101*v**3 + 739*v + 246*v = 0. What is v?
-3, -2, -1, -1/3, 7
Let t(x) be the third derivative of x**2 - 26 + 0*x**4 + 1/420*x**7 + 0*x + 0*x**3 - 1/240*x**6 - 1/60*x**5. Factor t(z).
z**2*(z - 2)*(z + 1)/2
Factor 131220 - 810*r + 5/4*r**2.
5*(r - 324)**2/4
Suppose -13*i + 22*i = 27. Find h, given that 16*h**3 - 40*h**2 + 36*h**i - h**4 - 20*h - 77*h**3 - 4*h**4 = 0.
-2, -1, 0
Let n(t) = -12*t**2 - 1. Let r(w) = 70*w**2 + 114*w + 122. Let k(c) = 6*n(c) + r(c). Factor k(j).
-2*(j - 58)*(j + 1)
Let y(d) be the first derivative of -d**4/24 + d**3/2 - 7*d**2/6 + 14365. Solve y(t) = 0.
0, 2, 7
Let x(l) be the first derivative of -37/35*l**5 + 84 + 3*l**4 + 0*l + 8/7*l**2 - 68/21*l**3 + 5/42*l**6. Suppose x(d) = 0. What is d?
0, 2/5, 1, 2, 4
Let s(d) be the second derivative of d**4/30 - 194*d**3 + 423405*d**2 + 6*d - 75. Solve s(h) = 0 for h.
1455
Let a(g) be the first derivative of -50*g - 98 - 5/3*g**3 + 35/2*g**2. Let a(r) = 0. What is r?
2, 5
Suppose 28*a - 27*a = -85*a + 172. Let y(v) be the second derivative of -1/6*v**4 - 4*v**a - 4/3*v**3 + 0 - 37*v. Factor y(o).
-2*(o + 2)**2
Let a(g) = -2*g**2 - 2585*g - 90466. Let p be a(-36). Factor -84/11*l + 0 - 2/11*l**p.
-2*l*(l + 42)/11
Let p be (-931)/(-28) + -37 + 6 + 0. Find v, given that v**4 + p*v**3 + 0 + 1/4*v + 3/2*v**2 = 0.
-1, -1/4, 0
Let r = -223 - -227. Suppose -10*m**3 + 10*m - 255*m**4 + 123*m**4 - 4 + 10*m**2 + 126*m**r = 0. Calculate m.
-2, -1, 1/3, 1
What is n in -18*n - 36*n**2 + 42*n + 74*n**3 + 144 - 6*n**4 - 200*n**2 = 0?
-2/3, 1, 6
Suppose -3*w = 13*w - 192. Factor 4*b**5 - 64*b - 388*b**4 - w*b - 36 + 432*b**4 - 8*b**2 + 72*b**3.
4*(b - 1)*(b + 1)**3*(b + 9)
Factor -2764/9 + 1378/9*c + 2/9*c**2.
2*(c - 2)*(c + 691)/9
Find y such that 106/15*y**3 - 34/15*y - 22/5*y**2 + 0 - 2/5*y**4 = 0.
-1/3, 0, 1, 17
Let g(x) be the third derivative of -x**5/12 + 565*x**4/12 + 2300*x**3/3 - x**2 + 2302*x. Factor g(j).
-5*(j - 230)*(j + 