(9*g + 2)
Let w(b) be the third derivative of 0*b + 0 + 4/15*b**3 - 12*b**2 - 1/50*b**5 - 1/300*b**6 + 0*b**4. Find h such that w(h) = 0.
-2, 1
Let k(p) = -4*p - 6. Let w be k(-1). Let x(s) = 3*s**3 - 80*s**2 + 5*s + 5. Let a(i) = -2*i**3 + 40*i**2 - 2*i - 2. Let y(z) = w*x(z) - 5*a(z). Factor y(c).
4*c**2*(c - 10)
Let o be (0 - 0/(-4 - -3)) + 0. Factor -11 - 3*n**2 - 6 - 12*n + 5 + o*n**2.
-3*(n + 2)**2
Find f, given that 12 + 10125/2*f**3 + 270*f + 2025*f**2 = 0.
-2/15
Factor 16/7*v**3 - 2/7*v**2 - 16/7*v + 0 + 2/7*v**4.
2*v*(v - 1)*(v + 1)*(v + 8)/7
Let t(s) be the third derivative of 144/7*s**3 - 1/210*s**6 + 0 - 18/7*s**4 + 0*s - 25*s**2 + 6/35*s**5. Factor t(c).
-4*(c - 6)**3/7
Let i be (-2)/20*((-5728)/(-28))/(-4). Let f = -33/7 + i. Factor 4/5 + f*q**2 - 6/5*q.
2*(q - 2)*(q - 1)/5
Let c be -97 + ((-4)/3)/(3/(-9)). Let b = c + 96. What is f in 0 - 2/9*f + 2/9*f**b + 0*f**2 = 0?
-1, 0, 1
Let d be 1498/6 - (1 + -5 + 8). Let a = 248 - d. Determine g, given that -2/3 + 7/3*g + 2/3*g**2 - a*g**3 = 0.
-1, 2/7, 1
Let b(g) be the first derivative of 3*g**5/20 + g**4/16 - g**3/2 - 3*g**2/8 + 15*g - 40. Let a(d) be the first derivative of b(d). Determine h so that a(h) = 0.
-1, -1/4, 1
Solve 226981 + 9514*b - 17*b**3 + 14*b**3 + 1649*b + 183*b**2 + 4*b**3 = 0 for b.
-61
Suppose 25*r = 28*r - 18. Let k(y) be the third derivative of 2/15*y**5 - 1/24*y**4 - 3*y**2 + 0 - 2/15*y**r + 0*y + 0*y**3. Factor k(g).
-g*(4*g - 1)**2
Solve -5*m**2 + 180 + 16*m**2 - 60*m - 6*m**2 = 0 for m.
6
Let q be (-12)/2*-10*13/195. Let h(b) be the first derivative of 3 + 0*b**2 - 2/9*b**3 + 0*b - 3/4*b**q. Factor h(t).
-t**2*(9*t + 2)/3
Let d be 94/(-282)*(-1 + 2/(-6) - -1). Let -d*v**2 + 2/9*v + 8/9 = 0. Calculate v.
-2, 4
Factor 15/2*r**2 - 3/4*r**3 + 27 - 99/4*r.
-3*(r - 4)*(r - 3)**2/4
Let h(f) be the third derivative of f**5/60 + f**4/24 + 10*f**2. Let d(y) = -3*y**2 - 6*y - 4. Let g(z) = d(z) + 2*h(z). Factor g(o).
-(o + 2)**2
Factor 0*v - 15*v**2 - 35/3*v**4 - 25*v**3 - 5/3*v**5 + 0.
-5*v**2*(v + 1)*(v + 3)**2/3
Let p(r) be the first derivative of 26*r**5/55 - 37*r**4/22 + 2*r**3 - 7*r**2/11 - 4*r/11 + 491. Factor p(l).
2*(l - 1)**3*(13*l + 2)/11
Let k(h) be the third derivative of h**6/720 - 7*h**5/180 + 35*h**4/144 - 11*h**3/18 + 362*h**2. Determine m, given that k(m) = 0.
1, 2, 11
Let d(y) = y**2 + 2*y - 33. Let b be d(-12). Let o = -171/2 + b. Factor 1/2*p**2 - p - o.
(p - 3)*(p + 1)/2
Suppose -10*k + 38 = 18. Let v(w) be the first derivative of 3/4*w**4 + 4*w + 0*w**2 - k - 7/3*w**3. Factor v(j).
(j - 2)*(j - 1)*(3*j + 2)
Suppose -5*j = -4 + 59. Let v = j - -13. Factor -25*x - 5 - 25*x**4 + 16*x**v + 6*x**2 - 50*x**3 - 5*x**5 - 43*x**2 - 29*x**2.
-5*(x + 1)**5
Suppose 4*p - 20 = 84. Solve 20*s**2 - 75*s**2 + p*s**4 - 10*s - 15*s**5 + 23*s**3 - 91*s**4 - 118*s**3 = 0 for s.
-2, -1, -1/3, 0
Let y(u) be the second derivative of u**7/84 - u**6/10 - 3*u**5/2 + 275*u**4/12 - 375*u**3/4 - 246*u. Factor y(w).
w*(w - 5)**3*(w + 9)/2
Let r be 18/(-15) + 3210/1800. Let j(y) be the first derivative of -9/16*y**4 + 1/4*y**5 - 1/4*y**2 - 1/24*y**6 + r*y**3 + 0*y + 2. Factor j(o).
-o*(o - 2)*(o - 1)**3/4
Let h(a) be the first derivative of -1/3*a**6 - 1/2*a**4 - 5 + 0*a + 0*a**2 + 0*a**3 - 4/5*a**5. Find j such that h(j) = 0.
-1, 0
Solve -4/3 - 2/3*v**2 - 2*v = 0 for v.
-2, -1
Let v be ((-30)/(-25))/((-4)/(-10)). Let y be v/(1 - -2) - 1. What is r in y + 1/3*r + 1/3*r**2 = 0?
-1, 0
Suppose -12 = -2*d + 8. Factor 3*q**2 + 0*q**2 - 6*q - 7*q**2 - d*q.
-4*q*(q + 4)
Let u(j) be the third derivative of -j**5/150 - j**4/5 - 12*j**3/5 - 680*j**2. Factor u(m).
-2*(m + 6)**2/5
Let h(q) be the first derivative of -q**6/15 + q**5/6 + q**4/18 - 5*q**3/9 + 2*q**2/3 + 6*q + 3. Let r(y) be the first derivative of h(y). Solve r(i) = 0 for i.
-1, 2/3, 1
Suppose -22 + 149 = 27*p + 46. Solve -2/5 + 1/2*n**2 + 3/10*n**p - 3/10*n - 1/10*n**4 = 0.
-1, 1, 4
Factor 1/2*d**2 + 1089/2 + 33*d.
(d + 33)**2/2
Let i(h) = 55*h**4 + 235*h**3 + 168*h**2 + 32*h + 5. Let k(a) = -27*a**4 - 118*a**3 - 84*a**2 - 16*a - 2. Let j(n) = -2*i(n) - 5*k(n). Factor j(u).
u*(u + 4)*(5*u + 2)**2
Factor -4*x**2 - 156 - 300 - 72*x + 132.
-4*(x + 9)**2
Factor 32/9 + 4/3*d - 2/9*d**2.
-2*(d - 8)*(d + 2)/9
Suppose -2*d = 51 - 47. Let o be (3 + -3)*(9/(-6) - d). Factor -3/4*w**2 + 3/2*w + o.
-3*w*(w - 2)/4
Let x(l) be the second derivative of -l**7/7 - 16*l**6/15 - 23*l**5/10 + l**4 + 28*l**3/3 + 8*l**2 + 17*l + 1. Solve x(c) = 0 for c.
-2, -1/3, 1
Let g = 3973 + -3973. Solve -4/3 + g*h + 1/3*h**2 = 0 for h.
-2, 2
Let l(c) be the third derivative of c**5/90 + 43*c**4/18 + 1849*c**3/9 - 92*c**2. Factor l(g).
2*(g + 43)**2/3
Let s be (-28*(-33)/220 + -3)*(-30)/(-117). Solve 2/13*b**2 + s*b - 8/13*b**3 + 0 - 6/13*b**4 = 0 for b.
-1, 0, 2/3
Suppose 2*m = 9*u - 10*u, 5*u = -2*m. Suppose 0 = -0*b + 2*b + 4*t - 20, -3*t + 10 = -b. Factor 1/6*z**b + u + 1/6*z.
z*(z + 1)/6
Let -707*s**2 - 17*s - 6 - 34 + 712*s**2 - 18*s = 0. What is s?
-1, 8
Let r(p) = -7*p**2 - 16*p + 57. Let x(j) = -12*j**2 - 32*j + 113. Let u(c) = 7*r(c) - 4*x(c). Let b be u(11). Determine t so that -1/3*t**b - 2/3*t + 0 = 0.
-2, 0
Let j = 903 - 901. Let x(r) = -4*r**2 - 2*r + 18*r - 3 + 10. Let m(c) = -c**2 + 5*c + 2. Let k(g) = j*x(g) - 7*m(g). Suppose k(s) = 0. Calculate s.
-3, 0
Let o(l) be the second derivative of l**7/294 - l**6/21 + 9*l**5/140 + 116*l. Suppose o(r) = 0. Calculate r.
0, 1, 9
Let 0 + 2/5*w**3 - 2/5*w + 0*w**2 = 0. Calculate w.
-1, 0, 1
Let u(n) = n**3 - 5*n**2 - 6*n + 4. Let q be u(6). Suppose -2*z - 2 = g, 0*z = -2*z + 2*g + q. Factor 1/4*l**4 + 3/4*l**3 + 0*l + z + 1/2*l**2.
l**2*(l + 1)*(l + 2)/4
Let p(x) be the first derivative of -5*x**3 + 3*x**2 - 49. Find o such that p(o) = 0.
0, 2/5
Factor -9/2 - 3/2*f**2 + 3/2*f**3 - 15/2*f.
3*(f - 3)*(f + 1)**2/2
Let m = 49/36 + -11/12. Let q(j) be the first derivative of -88/45*j**5 + 20/9*j**4 + 4 - 7/9*j**2 + 4/9*j - m*j**3 + 5/9*j**6. Let q(u) = 0. What is u?
-2/5, 1/3, 1
Suppose 34*q = 633 - 633. Suppose -5/2*m**3 + q*m + 0 - 35/4*m**4 - 15/4*m**5 + 0*m**2 = 0. Calculate m.
-2, -1/3, 0
Let a be (2/(-4) - -3) + 1/2. Let c(t) be the first derivative of -5*t**a + 3*t**4 - 3 + 3/2*t**2 + 0*t. Factor c(d).
3*d*(d - 1)*(4*d - 1)
Let z(w) = w**5 + w**4 - 15*w**3 - 38*w**2 + 67*w + 3. Let u(g) = g**4 + g**3 + 2*g**2 - g - 1. Let l(v) = -3*u(v) - z(v). Suppose l(p) = 0. Calculate p.
-4, 0, 2
Let s(k) = -6*k**2 - 213*k + 110. Let t be s(-36). Let -200/3*z**t - 6 + 40*z = 0. What is z?
3/10
Let q = 165/13 - 309/52. Find d such that q + 0*d - 9/2*d**2 - 2*d**3 - 1/4*d**4 = 0.
-3, 1
Let v(o) be the third derivative of o**7/42 + 19*o**6/24 - 21*o**5/4 + 325*o**4/24 - 55*o**3/3 - 128*o**2. Solve v(y) = 0.
-22, 1
Let o(u) be the first derivative of -3*u**5/10 - 51*u**4/8 - 63*u**3/2 + 243*u**2/4 - 87. Solve o(b) = 0 for b.
-9, 0, 1
Let q(i) be the third derivative of i**6/160 + i**5/20 + 10*i**2. Factor q(j).
3*j**2*(j + 4)/4
Let b(h) be the third derivative of h**5/450 + h**4/180 - 2*h**3/15 - 63*h**2. Find y, given that b(y) = 0.
-3, 2
Let x(m) be the second derivative of -12*m + 0*m**2 - 5/6*m**4 - 5/6*m**3 + 0*m**5 + 1/3*m**6 + 5/42*m**7 + 0. Let x(i) = 0. What is i?
-1, 0, 1
Let c(b) be the third derivative of 1/60*b**5 + 0 - 1/360*b**6 + 0*b - 1/36*b**4 + 0*b**3 - 30*b**2. Factor c(w).
-w*(w - 2)*(w - 1)/3
Let m(l) be the second derivative of -l**9/4536 + l**8/2520 + l**7/630 - l**3 + 13*l. Let p(y) be the second derivative of m(y). Factor p(u).
-2*u**3*(u - 2)*(u + 1)/3
Let s(o) be the first derivative of -5*o**4/4 + 565*o**3/3 + 886. Factor s(r).
-5*r**2*(r - 113)
Let r(a) be the third derivative of a**5/20 - 33*a**4/4 + 629*a**2. Factor r(u).
3*u*(u - 66)
Let k be 4/(-24 - 504/(-20)). Solve -n**2 + 13/3*n + k = 0 for n.
-2/3, 5
Let y(t) be the first derivative of 6*t + 1/10*t**6 + 8 + 6*t**2 + 6*t**3 + 9/10*t**5 + 13/4*t**4. Let q(f) be the first derivative of y(f). Factor q(j).
3*(j + 1)**2*(j + 2)**2
Let t(b) be the first derivative of -b**7/630 + b**6/180 - b**5/180 - 5*b**2 - 2. Let q(y) be the second derivative of t(y). Determine i, given that q(i) = 0.
0, 1
Let d(j) be the first derivative of j**7/2940 - j**6/140 + 9*j**5/140 - 9*j**4/28 + 11*j**3/3 + 15. Let o(a) be the third derivative of d