 + 16.
-3*j*(j - 38)
Let y(l) be the third derivative of l**5/100 + 11*l**4/20 + 57*l**3/10 + 7*l**2 - 8. Find a, given that y(a) = 0.
-19, -3
Factor 0 + 1/3*b**3 + 5*b - 17/3*b**2 + 1/3*b**4.
b*(b - 3)*(b - 1)*(b + 5)/3
Let v = 627 + -625. Let q(p) be the first derivative of 1 + 2/21*p**3 + 2/35*p**5 - 4/7*p - 3/14*p**4 + 3/7*p**v. Find f, given that q(f) = 0.
-1, 1, 2
Let n = -523/95 + 116/19. What is t in -n - 1/5*t**2 - 4/5*t = 0?
-3, -1
Suppose 3/4*t**2 + 69/4*t**3 + 75/8*t**5 - 3/8 - 195/8*t**4 - 21/8*t = 0. What is t?
-1/5, 1
Suppose -2*h + 19 = -5*t - 9, t = -4. Factor 7*v - 2*v - 8*v**3 + 4*v**2 + 5*v + 4 + 25*v**h - 33*v**4 - 2*v**5.
-2*(v - 1)*(v + 1)**3*(v + 2)
Let m(u) = 30*u**3 + 301*u**2 + 810*u + 145. Let a(h) = -15*h**3 - 150*h**2 - 405*h - 72. Let w(d) = -5*a(d) - 3*m(d). Determine r so that w(r) = 0.
-5, -1/5
Let f = -2251/2 + 1375357/1222. Let v = 9782/1833 + f. Find u, given that -20/3*u**2 - v - 32/3*u - 4/3*u**3 = 0.
-2, -1
Factor -254*j + 2 + 2*j**2 + 515*j - 257*j.
2*(j + 1)**2
Let g(f) be the third derivative of -f**6/200 + 7*f**5/100 + 7*f**4/10 + 2*f**3 + 107*f**2. Determine t so that g(t) = 0.
-2, -1, 10
Let g(h) be the first derivative of h**7/210 - h**6/60 + h**5/60 + 5*h**2/2 + 3. Let z(x) be the second derivative of g(x). Find w, given that z(w) = 0.
0, 1
Let -1/8*r**3 - 2*r**2 - 8*r + 0 = 0. What is r?
-8, 0
Find g, given that 31*g**3 - 58*g**3 - 156*g**2 + 8*g**3 + 1440*g + 23*g**3 + 1600 = 0.
-1, 20
Let r(p) be the second derivative of 0*p**3 - 1/50*p**5 + 1/30*p**4 - 11*p + 0 - 1/75*p**6 + 1/105*p**7 + 0*p**2. Find x such that r(x) = 0.
-1, 0, 1
Find l such that 136/7*l**3 + 86/7*l + 2 + 16/7*l**4 + 180/7*l**2 = 0.
-7, -1/2
Let y(i) be the third derivative of i**8/672 + 3*i**7/140 + i**6/12 + 2*i**5/15 + i**4 - 18*i**2. Let x(h) be the second derivative of y(h). Factor x(k).
2*(k + 1)*(k + 4)*(5*k + 2)
Let y(v) be the second derivative of v**7/105 + 2*v**6/25 + 11*v**5/50 + v**4/5 + 4*v + 12. Solve y(d) = 0.
-3, -2, -1, 0
Suppose 3*z + 5*i = 4, -70 = z - 3*i - 76. Solve 4/5*n**4 + 1/5*n + 6/5*n**z + 4/5*n**2 + 1/5*n**5 + 0 = 0 for n.
-1, 0
Let y be 113/565 + 0/(-1). Factor 3/5*l**2 + 0 - 3/5*l**3 + 1/5*l**4 - y*l.
l*(l - 1)**3/5
Let i(s) be the second derivative of s**4/4 - s**3/18 + 26*s - 7. Factor i(n).
n*(9*n - 1)/3
Determine l so that l - 24*l**2 - 4*l**4 - 1594*l**3 + 32 + 1614*l**3 - 17*l = 0.
-1, 2
Let x(w) be the first derivative of 4*w**3/3 - 4*w + 154. Suppose x(t) = 0. What is t?
-1, 1
What is g in -17*g + 3*g**2 + 107*g + 78*g + 2352 = 0?
-28
Let l(y) be the second derivative of -1/3*y**3 + 0*y**4 + 12*y + 1/30*y**5 + 1/2*y**2 + 0. Let s(c) be the first derivative of l(c). Factor s(o).
2*(o - 1)*(o + 1)
Let z be (-77)/(-14) + (-3)/2. Suppose -z*s = 2*p - 18 + 2, 0 = -p - 4*s + 6. Solve -9*c**5 + 4*c**4 - p*c**4 + 9*c**3 - 3*c + 3*c**3 + 6*c**2 = 0 for c.
-1, 0, 1/3, 1
Suppose 88 - 9*i**2 + 9*i**3 - 4*i**4 + 44*i + 7*i**4 - 42*i**3 - 22 + 49*i = 0. What is i?
-1, 2, 11
Let b(m) = -3*m**2 - 16*m - 12. Let w(n) = 8*n + 11 + 3*n**2 + 7*n - 4 + 5. Let t(k) = -3*b(k) - 4*w(k). Solve t(v) = 0.
-2
Let d(v) be the first derivative of v**4/2 + 14*v**3/3 - 24*v**2 - 360*v - 73. Factor d(m).
2*(m - 5)*(m + 6)**2
Let a(w) = -w**3 - 2*w**2 - 2*w - 2. Let u be a(-2). Suppose -u*j = l + l - 2, -4*j - 16 = 0. Factor c - 4 - 3 + c**2 + l + 0*c.
(c - 1)*(c + 2)
Suppose 92 - 2 = 18*r. Let n(b) be the second derivative of -1/3*b**3 + 0*b**r + 1/30*b**6 + 0 - 1/4*b**4 + 0*b**2 - b. Suppose n(c) = 0. Calculate c.
-1, 0, 2
Let b(r) be the first derivative of 4*r**5/5 - 8*r**3/3 + 2*r - 10. Let g(f) = 5*f**4 + f**3 - 9*f**2 - f + 1. Let a(d) = -3*b(d) + 2*g(d). Factor a(u).
-2*(u - 2)*(u - 1)*(u + 1)**2
Factor -1/2*n**3 - 315/2*n**2 - 1157625/2 - 33075/2*n.
-(n + 105)**3/2
Find a such that 7*a - 4*a**2 - 9*a**2 + a**3 + 11*a - 6*a = 0.
0, 1, 12
Let a(s) = -2*s - 3. Let r be a(-6). Suppose 0 = -3*l, 5*d - l - 10 = -0*l. Factor -d*b + r*b**3 - 19*b**3 + 9*b**3 + 3*b**2.
-b*(b - 2)*(b - 1)
Suppose 2*d + d - 12 = 0. Let n(g) be the second derivative of 0 + 1/60*g**5 - 1/6*g**2 - 1/18*g**3 - 5*g + 1/36*g**d. Find y such that n(y) = 0.
-1, 1
Let m be -5 + 52/6 + -1*(-8)/(-4). What is y in 30 - 35*y + 25/3*y**3 - 5/3*y**2 - m*y**4 = 0?
-2, 1, 3
Let v = -33 - -44. Factor -3*f**3 + 24 + v*f - f - 6*f**2 + 2*f.
-3*(f - 2)*(f + 2)**2
Let s(k) = -k**4 - 3*k**2 - 4*k. Let x(l) = 4*l**4 + 9*l**2 + 13*l. Suppose 5*y - 12 = 18. Let a(p) = y*x(p) + 21*s(p). Factor a(c).
3*c*(c - 2)*(c + 1)**2
Let q(w) = -91*w**3 - 189*w**2 - 176*w - 45. Let r(k) = -18*k**3 - 38*k**2 - 35*k - 9. Let x(t) = 6*q(t) - 33*r(t). Factor x(u).
3*(u + 1)*(4*u + 3)**2
Let z be (-2)/4*(-19 - -15). Let y be -1 + 1 + (-19)/(-38). Factor 0*i**3 - i**4 + 0 + 1/2*i + i**z - y*i**5.
-i*(i - 1)*(i + 1)**3/2
Factor 32 - 1/3*x**2 + 46/3*x.
-(x - 48)*(x + 2)/3
Suppose -405*l**3 - 379*l**3 + 56 - 231*l**2 - 36*l**5 - 352*l**4 - 76*l - 164*l**2 - 153*l**2 - 52*l**2 = 0. Calculate l.
-7, -1, 2/9
Let q(y) = -y**4 - y**3 + y**2 + y - 1. Let b(m) = -13*m**3 - 26*m**2 - 13*m + 1. Let c(s) = b(s) + q(s). Find h such that c(h) = 0.
-12, -1, 0
Let n(k) = -k**2 + k. Let s(j) = -j**2 + 2*j - 1. Let z(x) = -2*n(x) + s(x). Let p(q) = -q**4 - q**2 + 2. Let y(t) = 4*p(t) + 12*z(t). Factor y(i).
-4*(i - 1)**2*(i + 1)**2
Let p = 121 - 115. Let t(f) be the third derivative of 0 + 0*f + 0*f**5 - 4*f**2 + 0*f**3 - 1/180*f**p + 1/36*f**4. Suppose t(w) = 0. What is w?
-1, 0, 1
Let h be (18360/819)/30 - 12/26. Factor -h + 1/7*g**2 + 1/7*g.
(g - 1)*(g + 2)/7
Let l(a) be the second derivative of -7*a**5/40 + 9*a**4/2 - 5*a**3 - 9*a**2 + a - 2. Let z(r) be the first derivative of l(r). Factor z(t).
-3*(t - 10)*(7*t - 2)/2
Suppose 0 = 4*z - 9*v + 13*v, 3*v = -5*z + 6. Factor 0 - 2/9*j + 0*j**2 + 2/9*j**z.
2*j*(j - 1)*(j + 1)/9
Let w be -2 - 924/(-198)*3/2. What is z in 4/3*z**3 + 4/3*z**w + 0*z + 0*z**2 - 8/3*z**4 + 0 = 0?
0, 1
Let q(b) be the second derivative of b**5/30 + b**4/6 - 37*b**2/2 + 21*b. Let k(i) be the first derivative of q(i). Factor k(s).
2*s*(s + 2)
Let u(r) be the third derivative of -r**5/150 + r**4/4 + 15*r**2 + 3*r. Factor u(a).
-2*a*(a - 15)/5
Let y(v) be the first derivative of 1/10*v**5 + 1/4*v**4 + 1/6*v**3 - 10 + 0*v + 0*v**2. What is g in y(g) = 0?
-1, 0
Let t(m) be the third derivative of m**7/2100 - m**6/300 + m**4/15 - 19*m**3/6 - 10*m**2. Let q(x) be the first derivative of t(x). Factor q(d).
2*(d - 2)**2*(d + 1)/5
Determine c so that -6*c**2 + 16/3*c + 2/3 = 0.
-1/9, 1
Let n(a) = a**4 - a**3 - a**2 + a. Let c(t) = 0*t - 2*t**3 - 6*t**4 - 4*t + 3*t**3 + 3*t + 6*t**2. Let l(m) = c(m) + 2*n(m). Solve l(j) = 0.
-1, -1/4, 0, 1
Let x(r) be the second derivative of -r**5/200 + r**4/15 + r**3/60 - 2*r**2/5 + 52*r. Determine q, given that x(q) = 0.
-1, 1, 8
Let t(d) = d**3 - d**2 + 5*d + 1. Let s(u) = -16*u**3 + 120*u**2 + 572*u + 556. Let h(n) = -s(n) - 20*t(n). Factor h(j).
-4*(j + 1)*(j + 12)**2
Let g(r) be the third derivative of -r**5/30 - 37*r**4/6 - 1369*r**3/3 - 96*r**2. Suppose g(t) = 0. What is t?
-37
Let f(j) be the first derivative of 2*j**3/3 + 5*j**2 - 10*j - 4. Let o(u) = -u**2 + u + 1. Let d(g) = f(g) - 2*o(g). Solve d(s) = 0 for s.
-3, 1
Let x = 33 - -3. Let b be 3 + ((-39)/x + 1)*34. Solve -1/6*o**3 + 0 + 1/3*o**2 - b*o = 0.
0, 1
Let n(u) be the first derivative of -4*u**3/15 + 2*u**2/5 + 48*u/5 - 417. Factor n(l).
-4*(l - 4)*(l + 3)/5
Let f(t) be the third derivative of t**8/70560 + t**7/3528 + t**6/630 - 19*t**5/60 + 21*t**2. Let a(d) be the third derivative of f(d). Factor a(z).
2*(z + 1)*(z + 4)/7
Let h(b) = -345*b**3 + 149*b**2 - 23*b + 3. Let l(f) = 1 - 70*f**3 + 12 - 93*f + 597*f**2 - 1232*f**3 - 79*f**3. Let a(o) = 9*h(o) - 2*l(o). Factor a(z).
-(7*z - 1)**3
Let l(w) be the third derivative of -w**5/180 - 4*w**4/9 - 128*w**3/9 + 64*w**2. Find n such that l(n) = 0.
-16
Let f(k) be the first derivative of -k**4/4 + k**3 + 5*k**2 - 429. Let f(j) = 0. What is j?
-2, 0, 5
Let y = 66 + -64. Let d(u) = 12*u**5 - 29*u**4 - 4*u**3 + 33*u**2 - 6*u - 6. Let g(l) = l - 1. Let z(p) = y*d(p) - 4*g(p). Solve z(b) = 0.
-1, -1/4, 2/3, 1, 2
Let l(y) be the first derivative of -3*y**6/8 - 21*y**5/4 + 41*y**4/16 + 61*y**3/12 + 3*y**2/2 + 128. Let l(x) = 0. What is x?