y**5/45 - 11*y**4/36 - 2*y**3 + 31*y**2 + 2*y. Factor t(r).
2*(r - 2)*(r + 1)*(r + 9)/3
Let l(t) be the third derivative of -t**8/84 + 20*t**7/21 + 65*t**6/6 + 122*t**5/3 + 56*t**4 + 170*t**2 - 7*t. Let l(f) = 0. What is f?
-3, -2, -1, 0, 56
Let q(s) be the second derivative of -19*s**6/6 - 9*s**5 + 115*s**4/12 + 30*s**3 - 10*s**2 - 2*s - 1335. What is z in q(z) = 0?
-2, -1, 2/19, 1
Let o(z) be the third derivative of 58/3*z**4 - 13/3*z**5 + 0 - 55*z**2 - 56/3*z**3 + 7/30*z**6 + 0*z. Let o(m) = 0. Calculate m.
2/7, 2, 7
Let i(x) be the third derivative of x**2 - 1/360*x**6 + 0 - 2/3*x**3 + 2/9*x**4 - 1/60*x**5 - 40*x. Determine f, given that i(f) = 0.
-6, 1, 2
Suppose 104 = n + 100. Suppose 17*j**2 + 3*j + j**n + 100*j**3 + 6 - 197*j**3 + 14*j + 104*j**3 = 0. Calculate j.
-3, -2, -1
Let h = -892645 + 892648. Find n such that -72 + 246*n - 220*n**2 + 50/3*n**h = 0.
3/5, 12
Factor -2485/4*f + 45 - 245/2*f**2.
-5*(7*f + 36)*(14*f - 1)/4
Suppose 1 = w, -4*v - 2*w = -0*v - 10. Suppose g = -4*m + 3, -4*g - v*m = -4*m - 12. Factor 28*d - 61*d - 17*d**g + 48*d**2 - 4*d**3 + 6.
-3*(d - 1)**2*(7*d - 2)
Let c(m) be the third derivative of m**7/945 + m**6/135 - 4*m**4/27 - 16*m**3/27 - 338*m**2. Find i such that c(i) = 0.
-2, 2
Let f(n) = 2*n**3 + n**2 - 2*n + 3. Let r(c) = 55*c**3 + 3105*c**2 - 1070*c + 60. Let t(x) = 20*f(x) - r(x). Let t(o) = 0. What is o?
-206, 0, 1/3
Let c(j) = 3334*j - 46674. Let u be c(14). Determine h, given that h**u + 0 - 10*h + 1/5*h**4 + 8/5*h**3 = 0.
-5, 0, 2
Let g be -24 + ((-188)/(-6))/(1477/2532). Solve g*m - 5408/7 - 2/7*m**2 = 0 for m.
52
Let d = 41154 + -41149. Let p(h) be the third derivative of 0*h**d + 1/105*h**7 + 4*h**2 + 1/120*h**6 + 1/336*h**8 + 0*h**3 + 0*h**4 + 0 + h. Factor p(q).
q**3*(q + 1)**2
Let t(w) = 4*w**3 + 85*w**2 - 69*w - 66. Let q be t(-22). Let q*x**2 - 3/8*x**3 + 3/4 + 9/8*x = 0. What is x?
-1, 2
Let t(k) be the third derivative of 1/240*k**5 + 0 - 145*k**2 + 0*k**3 + 1/96*k**4 + 0*k. Suppose t(p) = 0. What is p?
-1, 0
Suppose 0*o - 1/4*o**5 + 13/4*o**4 + 0 - 17/2*o**3 - 12*o**2 = 0. Calculate o.
-1, 0, 6, 8
Suppose -9*y + 5*y + 116 = 2*s, 3*y = s + 87. Suppose 9*z = y*z - 60. Determine x, given that 0 + 2/5*x + 6/5*x**z - 8/5*x**2 = 0.
0, 1/3, 1
Let q be 76/((1/3)/((56/(-14))/(-24))). Let h(w) be the third derivative of -1/90*w**5 + 0 + 0*w + 1/18*w**4 + q*w**2 + 1/3*w**3. What is s in h(s) = 0?
-1, 3
Let x = 55 + -53. Suppose 2*g + x*g = 44. Determine o, given that -g - 3*o**2 - 7 - 16*o - 5*o = 0.
-6, -1
Factor 46/13 + 4/13*v**2 + 50/13*v.
2*(v + 1)*(2*v + 23)/13
Let r = -129 + 134. Factor -104*p + r - 108*p + 162*p + 45*p**2.
5*(p - 1)*(9*p - 1)
Determine i, given that -165/2*i**2 - 423/2*i - 135 + 3/2*i**4 - 9/2*i**3 = 0.
-3, -1, 10
Let l(u) be the first derivative of -10/3*u**3 - 105 + 0*u - 1/6*u**4 + 0*u**2. Factor l(h).
-2*h**2*(h + 15)/3
Let j(q) = 25*q - 3. Let r be j(1). Let p be (-66)/r*(1 + 10/(-6)). Factor -123*l**4 + 132*l**4 - 21*l**3 - 3*l + 18*l**p - 3*l**2.
3*l*(l - 1)**2*(3*l - 1)
Let h be 24 + ((-6)/18 - 16/6). Solve 75 + 6*r**3 - 195*r + 138*r**2 + 26*r**5 + 6*r**5 - 35*r**5 - h*r**4 = 0 for r.
-5, 1
Let s be (-4 - -1) + 200/60. Let o = -3396 - -10189/3. Factor -2/3*z + o + s*z**2.
(z - 1)**2/3
Let t = 1082 - 744. Factor 2*d**2 - 188 + t - 3*d + d**2 - 168.
3*(d - 3)*(d + 2)
Let p(r) be the third derivative of -r**5/100 + r**4/8 + 42*r**3/5 - 370*r**2. Factor p(c).
-3*(c - 12)*(c + 7)/5
Suppose 5*s = -2*x + 6*x + 32, 4*s - 3*x - 25 = 0. Determine d, given that -527*d + 127*d + 96 + 376*d**2 + 2*d**4 + 6*d**s - 124*d**3 + 4*d**4 = 0.
1/3, 2, 6
Let b(w) be the second derivative of 2/15*w**5 + 0*w**2 + 1/9*w**3 + 2/45*w**6 + 1/189*w**7 - w + 0 + 5/27*w**4. Factor b(y).
2*y*(y + 1)**3*(y + 3)/9
Suppose -215 = -5*j - 38*j. Factor -j*z**4 - z**5 - 16*z**2 - 2*z + 3*z**5 + 9*z**4 + 12*z**2.
2*z*(z - 1)*(z + 1)**3
Suppose -3*f = 25 - 31, -4*l = -5*f + 2. Let g(x) = -x**3 + 8*x**2 - 8*x + 9. Let r be g(7). Factor r*j - 6*j**l - 23*j**3 + 2*j**2 + 25*j**3.
2*j*(j - 1)**2
Let a = -6144 + 73729/12. Let o(i) be the second derivative of -1/2*i**2 + 4*i + 0 + a*i**3 + 1/24*i**4. Suppose o(t) = 0. What is t?
-2, 1
Let r be 1*(1 + 3) + (0 - 3). Let q be r + 0 - (-11 + 10). Determine z so that -3*z**5 + 6*z**2 + 179*z - 4*z**4 - q*z**4 - 176*z = 0.
-1, 0, 1
Suppose -10*j = -4062 - 2298. Let g be (-154)/(-120) + (-53)/j. Factor 3/5*x**2 - 9/5*x + g.
3*(x - 2)*(x - 1)/5
Let a(c) be the second derivative of c**6/6 - 5*c**5 - 195*c**4/4 - 490*c**3/3 - 250*c**2 - 490*c. Factor a(x).
5*(x - 25)*(x + 1)*(x + 2)**2
Let n = 266694 + -800005/3. Factor -1102/3*v - 4/9*v**3 + n*v**2 - 841/9.
-(v - 29)**2*(4*v + 1)/9
Let l(v) be the third derivative of v**6/80 - 17*v**5/40 + 63*v**4/16 + 81*v**3/4 + 72*v**2 + 7*v. Let l(f) = 0. What is f?
-1, 9
Suppose 0 = 52*l + 124 - 332. Suppose -89*i**2 + 45*i + 35*i**l - 46*i**2 - 5*i**5 - 45*i**3 + 225*i = 0. Calculate i.
-2, 0, 3
Suppose -17174*t - 3888 - 11420948*t**3 - 8880*t**2 + 2463*t**4 - 4234*t + 15*t**5 + 11426240*t**3 = 0. Calculate t.
-162, -2, -1/5, 2
Let p(t) be the first derivative of -5*t**3/3 + 1005*t**2/2 - 1000*t + 4548. Factor p(v).
-5*(v - 200)*(v - 1)
Factor -272/3 - 1/3*j**2 + 91*j.
-(j - 272)*(j - 1)/3
Find n, given that -8 - 112/3*n + 18*n**3 - 14/3*n**5 - 86/3*n**2 + 38/3*n**4 = 0.
-1, -2/7, 2, 3
Suppose -70*p + 36 = -71*p + 3*k, 4*k = 36*p + 48. Factor 7/6*q**3 - 2/3*q - 4/3*q**2 + p + 5/6*q**4.
q*(q - 1)*(q + 2)*(5*q + 2)/6
Let s = -9593/198 - -1105/22. Factor 0 - 98*b**4 - 184/9*b**2 + s*b + 700/9*b**3.
-2*b*(7*b - 2)**2*(9*b - 2)/9
Suppose -169*n = -1700*n + 12252 + 14489 - 2245. Find t, given that -44*t**3 - 56*t + n + 13*t**4 + 72*t**2 - 3/2*t**5 = 0.
2/3, 2
Solve 22/13*l**3 + 0 - 12/13*l**4 + 48/13*l**2 - 56/13*l - 2/13*l**5 = 0 for l.
-7, -2, 0, 1, 2
Let n(j) be the second derivative of -j**5/120 + j**4/192 + 89*j**2/2 + 75*j. Let y(v) be the first derivative of n(v). Factor y(i).
-i*(4*i - 1)/8
Let c(i) = 7*i**4 + 3*i**3 + 22 + 9 - 15*i + 21*i**2 - 39. Let n(x) = -x**4 - x**3 - x**2 + x + 1. Let y(u) = -3*c(u) - 24*n(u). Suppose y(r) = 0. What is r?
-7, 0, 1
Let g(k) = -24*k**4 + 54*k**3 - 416*k**2 + 874*k - 620. Let u(p) = p**4 + 2*p**2 + p + 2. Let r(o) = 2*g(o) + 44*u(o). Factor r(j).
-4*(j - 18)*(j - 4)**2*(j - 1)
Let z(x) = -2*x**2 + 9*x + 8. Let r(o) = 3*o**2 - 17*o - 15. Let m(a) = -4*r(a) - 7*z(a). Let k be m(-2). Factor -3*h + 3*h - 6*h**2 + 5*h**3 - k*h**3.
3*h**2*(h - 2)
Let v be 12*10/(-15) - 5/((-1275)/2074). Determine b so that -v*b**2 - 44/15*b - 242/15 = 0.
-11
Let r(z) = -z**2 + 63*z - 233. Let j be r(4). Factor -1/4*u**5 - 3/4*u - 1/2*u**2 + 0*u**4 + 1/2 + u**j.
-(u - 1)**3*(u + 1)*(u + 2)/4
Factor -1264/9*v + 2/9*v**2 + 199712/9.
2*(v - 316)**2/9
Let d = -46 + 83. Suppose 0 = 35*s - d*s + 56. Let -151 - 147 + 298 + s*y + 4*y**2 = 0. Calculate y.
-7, 0
Let y = 1030516/5 - 206103. Suppose -y*v**3 - 1/5 - 3/5*v - 3/5*v**2 = 0. Calculate v.
-1
Factor 0 - 2/13*s**2 + 112/13*s.
-2*s*(s - 56)/13
Let z(f) = -2*f**3 - 172*f**2 - 166*f. Let a(d) = -2*d**3 - 174*d**2 - 166*d. Let k(t) = 2*a(t) - 3*z(t). Factor k(b).
2*b*(b + 1)*(b + 83)
Let d(w) = w. Suppose 2*u = 5*u - 6. Let n(g) = -g**2 + 12*g + 1 - 5*g - 4*g + 1. Let y(b) = u*d(b) - n(b). Factor y(p).
(p - 2)*(p + 1)
Factor -26241/5*v**2 + 10304*v + 322/5*v**3 - 1/5*v**4 - 5120.
-(v - 160)**2*(v - 1)**2/5
Let p = 632671/5 + -126534. Factor -3/5*o - p*o**2 + 4/5.
-(o - 1)*(o + 4)/5
Solve 27*l**2 + 23/2*l**3 - 1/2*l**4 - 100 - 46*l = 0.
-2, 2, 25
Suppose 0 = 124*l - 202*l + 156. Let m(k) be the second derivative of 1/3*k**l + 0 - 1/45*k**6 - 2*k + 0*k**4 - 1/15*k**5 + 2/9*k**3. Factor m(x).
-2*(x - 1)*(x + 1)**3/3
Let s(k) be the first derivative of k**5/2 - 1305*k**4/8 + 29025*k**3/2 - 249615*k**2/4 - 3994. Find m such that s(m) = 0.
0, 3, 129
Let b(k) be the second derivative of -k**6/40 - 9*k**5/5 - 69*k**4/8 - 17*k**3 - 135*k**2/8 - 7*k - 36. Solve b(f) = 0.
-45, -1
Factor -5/9*n**5 + 0 + 0*n**2 + 0*n - 1/3*n**4 + 2/9*n**3.
-n**3*(n + 1)*(5*n - 2)/9
Let s(a) be the second derivative of -3*a**5/10 + 26*a**4/3 + 235*a**3/3 - 84*a**2 + 3505*a. Suppose s(w) = 0. What is w?
-4, 1/3, 21
Factor 223*u**2 + 177*u**2 - 7*u**3 - 17*u**3 - 8*u**3 - 1484*u + 4*u**3 + 392.
-4*(