the second derivative of 0*f**2 + 0*f**5 - 4*f + 0 - 1/6*f**4 + 1/15*f**x + 0*f**3. What is s in b(s) = 0?
-1, 0, 1
Suppose 44*i**5 - 200*i**2 - 8 + 123*i**3 - 24*i**2 + 312*i**3 + 76*i - 139*i**3 - 184*i**4 = 0. What is i?
2/11, 1
Let m be 2 + 1 - (-176)/12. Let r = -263/21 + m. Solve 8/7*h**2 + 36/7*h**3 - r*h - 8/7 = 0.
-1, -2/9, 1
Let v(x) be the second derivative of x**4 + 1405*x**3/3 + 234*x**2 - 4397*x. Solve v(a) = 0.
-234, -1/6
Determine f so that -20/3*f - 16 - 2/3*f**2 = 0.
-6, -4
Suppose 0 = 3*n + 2*t - 356, 0 = -8*n + 6*n + t + 228. Let c = -102 + n. Let 2*f - 16 + 30*f - c*f - 2*f**2 = 0. Calculate f.
1, 8
What is k in 121/5 - 308/5*k + 196/5*k**2 = 0?
11/14
Let q(m) be the second derivative of -m**7/147 + 16*m**6/105 + m**5/70 - 8*m**4/21 + 1013*m. Solve q(l) = 0.
-1, 0, 1, 16
Suppose -17*m = 303*m + 752*m. Solve -6*b - 3/2*b**2 + m = 0 for b.
-4, 0
Find h, given that 14*h**3 + 2286*h - 397*h**2 + 1/2*h**4 - 3807/2 = 0.
-47, 1, 9
Let x(r) = 44*r**4 - 52*r**3 + 32*r**2 + 272*r + 8. Let u(f) = -17*f**4 + 17*f**3 - 11*f**2 - 90*f - 3. Let b(m) = 8*u(m) + 3*x(m). Factor b(q).
-4*q*(q - 2)*(q + 3)*(q + 4)
Let h(f) = 42 - 82 + 39 + f**4 + 0*f**4. Let k(z) = -12*z**4 - 6*z**3 + 3*z**2 + 6*z + 9. Let r(o) = 9*h(o) + k(o). Factor r(l).
-3*l*(l - 1)*(l + 1)*(l + 2)
Let p(b) be the third derivative of b**6/120 + 119*b**5/60 + 24*b**4 + 114*b**3 + b**2 - 3*b - 13. Find a such that p(a) = 0.
-114, -3, -2
Let d(s) be the second derivative of -39*s**7/280 + 19*s**6/30 + s**5/10 + 4*s**3/3 - 11*s**2 + 7*s - 2. Let u(z) be the second derivative of d(z). Factor u(k).
-3*k*(k - 2)*(39*k + 2)
Let d = 54 - 52. Suppose 143*o - 143*o - 2*o**d + 5*o**2 + 3*o**3 = 0. What is o?
-1, 0
Suppose 168 = -38*r + 45*r. Let w be r/112*(1/6 + 1). Find k, given that -1/2*k + 1/4 + w*k**2 = 0.
1
Let 68/5*i + 32/5*i**2 - 84/5 = 0. Calculate i.
-3, 7/8
Let f(i) be the first derivative of -i**6/6 - i**5/4 + 5*i**4/12 + 5*i**3/6 + 168*i + 70. Let o(r) be the first derivative of f(r). Factor o(k).
-5*k*(k - 1)*(k + 1)**2
Let l(f) = -5*f**3 - f**2 - 10*f + 6. Let w(q) = -8*q**3 + q**2 - 11*q + 3. Let n(c) = 3*l(c) - 2*w(c). Determine g, given that n(g) = 0.
-2, 1, 6
Let n = 2294 - 2292. Let u be 49/4 + 2/(-8). Factor -8*z**n + 12 + 3*z**2 + 8*z**2 - u*z.
3*(z - 2)**2
Let o(c) = -7*c**3 - 32*c**2 - 11*c + 32. Let g(k) = 3*k**3 + 15*k**2 + 6*k - 16. Let x(w) = 9*g(w) + 4*o(w). Suppose x(t) = 0. Calculate t.
-2, 1, 8
Factor -66582*y - 196830 - 1626/5*y**2 - 2/5*y**3.
-2*(y + 3)*(y + 405)**2/5
Let b(z) be the first derivative of 3*z**4/4 + 1854*z**3 + 1718658*z**2 + 708087096*z - 2814. Factor b(c).
3*(c + 618)**3
Let o(d) be the second derivative of -d**4/12 - d**3/3 + 323*d**2/2 - 601*d + 3. Factor o(k).
-(k - 17)*(k + 19)
Let r(t) = -t - 1. Let p be r(-9). Solve -7*l**2 - 14*l + 36*l**3 - p - 15*l**3 - 22*l**3 = 0 for l.
-4, -2, -1
Suppose 3602 = -9*k + 13385. Let o = k - 1084. Factor -8/17*c**o - 2/17*c**5 + 0*c**2 + 0*c - 8/17*c**4 + 0.
-2*c**3*(c + 2)**2/17
Let k = -27909 + 27909. Let o(y) be the second derivative of 1/21*y**4 + 12*y + 1/70*y**5 + k + 24/7*y**2 - 20/21*y**3. Determine w so that o(w) = 0.
-6, 2
Let m = -1/2906 - -2996089/8718. Let s = 345 - m. Factor s + 4*b - 5*b**2 + 4/3*b**3.
(b - 2)**2*(4*b + 1)/3
What is u in -36096*u**2 + 590*u**3 + 760*u - 7591 + 43691 - 4*u**4 - 1350*u**3 = 0?
-95, -1, 1
Let -3287*o**2 + 6570*o**2 - 3322*o**2 + 39*o**3 - 468 + 3*o**4 - 543*o = 0. Calculate o.
-13, -3, -1, 4
What is y in -199 + 19406*y**3 - 65 + 2*y**4 - 22*y + 66*y**2 - 4*y**4 - 19388*y**3 - 196*y = 0?
-4, -1, 3, 11
Let j = -9982 - -9984. Determine g, given that -10/3*g**2 + 0 - 4/9*g - j*g**5 - 58/9*g**4 - 22/3*g**3 = 0.
-1, -2/9, 0
Let o(p) be the third derivative of 1/40*p**6 + 0*p**3 + p + 0 - 1/10*p**5 - 37*p**2 + 1/8*p**4. Factor o(h).
3*h*(h - 1)**2
Let i be ((-354)/(-59) - (0 + (-48)/(-9)))/1. Factor 1058/3 + i*q**2 - 92/3*q.
2*(q - 23)**2/3
Let o(s) = 990*s - 5935. Let v be o(6). Let q(i) be the second derivative of 0 + 8/3*i**3 - 9*i + 16*i**2 - 7/6*i**4 + 1/10*i**v. Suppose q(k) = 0. What is k?
-1, 4
Let a be (13272/(-11060))/((-3)/10). Find x, given that -4/5*x + 2*x**a + 0 + 2/5*x**2 + 16/5*x**3 = 0.
-1, 0, 2/5
Suppose 8*s - 1356 = -1180. Let z be (4/s)/((-32)/(-44)). Let z*d + 1/4*d**2 - 1/2 = 0. What is d?
-2, 1
Factor -1363*b + 900*b + 3*b**2 - b**3 + 17*b**2 + 1092*b.
-b*(b - 37)*(b + 17)
Factor 36*g**2 + 4*g**4 + 4*g**4 - 4*g**4 + 1631*g**3 - 1607*g**3.
4*g**2*(g + 3)**2
Let n be ((-125)/(-15))/((-15)/(-90)). Factor 40*j**3 + 12*j**2 + 517*j**4 - 515*j**4 - n*j**3.
2*j**2*(j - 3)*(j - 2)
Suppose l = 5*l - 32. Let v be ((-2)/l)/((-4)/48). Factor 9*o**2 - 48*o**2 + 10 + 4*o**v + 5 - 33*o + 5*o**3.
3*(o - 5)*(o + 1)*(3*o - 1)
Let 1/2*c**4 + 81/2*c - 81/2*c**3 - 40 + 79/2*c**2 = 0. What is c?
-1, 1, 80
Let l(k) be the first derivative of -k**3/9 + 39*k**2/2 - 116*k/3 - 2251. Factor l(j).
-(j - 116)*(j - 1)/3
Let o be 272/384 + -4*2/12. Let j(k) be the third derivative of 0*k**4 - o*k**5 - 18*k**2 + 0*k + 5/3*k**3 + 0. Determine y so that j(y) = 0.
-2, 2
Let m = -18333/4 - -165061/36. Determine a, given that -m*a + 2/9*a**2 + 8/3 = 0.
2, 6
Let p(z) be the third derivative of z**6/24 + z**5/3 + z**2 - 91*z. Factor p(d).
5*d**2*(d + 4)
Let z = -52165 - -52168. Find k such that 24/11*k**2 + 4/11*k**4 - 58/11*k + 58/11*k**z - 28/11 = 0.
-14, -1, -1/2, 1
Let f = -18550 + 37101/2. Factor -f + 21/4*p**3 - 43/4*p - 5*p**2.
(p - 2)*(p + 1)*(21*p + 1)/4
Let y = -3252721/6 + 542121. Let -y*p**3 - 5/6*p**2 + 0*p + 0 = 0. Calculate p.
-1, 0
Factor 75/7*f**3 - 3/7*f**4 + 0 - 36*f**2 + 0*f.
-3*f**2*(f - 21)*(f - 4)/7
Let m(l) be the first derivative of l**6/21 - 22*l**5/35 - 15*l**4/14 + 62*l**3/21 + 58*l**2/7 + 48*l/7 + 892. Let m(h) = 0. Calculate h.
-1, 2, 12
Factor -96/7 + 5*r - 1/7*r**2.
-(r - 32)*(r - 3)/7
Suppose -188 + 214 = -13*i. Let t be i/(-2 - (4 + (-201)/36)). Suppose 42/5*s**2 - t - 9/5*s**4 + 33/5*s**3 - 36/5*s - 6/5*s**5 = 0. What is s?
-2, -1/2, 1, 2
Let x(p) be the first derivative of -3*p**4/16 + 9*p**3/4 - 39*p**2/4 + 18*p - 1120. What is t in x(t) = 0?
2, 3, 4
Factor 2250*x**2 + 684*x**5 + 105*x**4 - 730*x**3 - 12 + 1262 + 235 - 689*x**5 - 3105*x.
-5*(x - 11)*(x - 3)**3*(x - 1)
Let z(j) be the first derivative of -j**4/9 + 28*j**3/9 - 80*j**2/3 + 60*j + 148. Let s(f) be the first derivative of z(f). Factor s(c).
-4*(c - 10)*(c - 4)/3
Let q(f) = -f**2 + 3*f**2 + 6 + 41 + 29*f + 9 - f**2. Let a be q(-2). Determine h, given that 0 + 28/5*h + 24/5*h**a - 4/5*h**3 = 0.
-1, 0, 7
Let i be (-783)/(-18) + 6/4. Let r be (-1)/((-1)/(3 + 3 + -4)). Solve 145*f + 31 - 55 - i*f - r*f**2 + 38*f**2 = 0.
-3, 2/9
Let c(a) = -91*a + 184. Let w be c(2). Factor w - 76*s + 8928*s**2 - 50 - 2*s**3 - 8958*s**2.
-2*(s + 1)*(s + 2)*(s + 12)
Let m be 6/(-28) - (-2)/4. Let y be -121 - (-89507)/721 - 0. Determine o, given that y*o - m*o**2 + 0 = 0.
0, 11
Let m be (-6640)/(-275) - 4/(-10). Let q be 2*1*(4 + -6 + (231 - 228)). Find l, given that -20/11*l**4 + m*l - 2/11*l**5 + 324/11 + 0*l**q - 60/11*l**3 = 0.
-3, 2
Let v(a) = 13*a**3 - 93*a**2 - 160*a - 6. Let h(y) = 2*y**3 - 11*y - 1. Let w(j) = -6*h(j) + v(j). Solve w(p) = 0.
-1, 0, 94
Let -448/3 + 4/3*p + 2/3*p**2 = 0. What is p?
-16, 14
Let c(v) be the third derivative of -v**7/280 + v**6/80 + 11*v**5/80 - 3*v**4/8 + 2219*v**2. Factor c(q).
-3*q*(q - 4)*(q - 1)*(q + 3)/4
Let q(u) be the first derivative of u**5 + 25*u**4/4 - 35*u**3/3 - 25*u**2/2 + 30*u - 531. Factor q(i).
5*(i - 1)**2*(i + 1)*(i + 6)
Let t(n) be the third derivative of 3/10*n**5 + 0*n**4 + 0*n**3 + 0 + 7/40*n**6 + 1/336*n**8 + 73*n**2 + 0*n + 4/105*n**7. Factor t(k).
k**2*(k + 2)*(k + 3)**2
Let m = 1774 + -1774. Let a(x) be the first derivative of 20 - 2*x**2 + 2/5*x**5 + x**4 + m*x - 2/3*x**3. Factor a(z).
2*z*(z - 1)*(z + 1)*(z + 2)
Let i = -2694820/7 + 385006. Find g, given that -6*g**3 - 264/7*g**2 + i*g + 12 = 0.
-7, -2/7, 1
Let h(o) be the second derivative of o**7/189 - 29*o**6/135 + 53*o**5/45 - 77*o**4/27 + 101*o**3/27 - 25*o**2/9 - o + 376. Suppose h(t) = 0. Calculate t.
1, 25
Let u = 9 + -36. Let w = -15 - u. Factor 8 + 4*a**2 + 20*a + a**2 + w.
5*(a + 2)**2
Let f(y) be the second derivative of 4*y**3 - y + 15 - 1/3*y**4 - 8*y**2 + 1/15