 + 2*k**3.
2*(k - 2)*(k + 1)**2
Let n(f) be the third derivative of -f**8/448 + 2*f**7/5 - 98*f**6/5 + 621*f**2. Factor n(t).
-3*t**3*(t - 56)**2/4
Find r, given that -8*r**2 - 6477*r + 6533*r + 9*r**2 - 116 = 0.
-58, 2
Let f = -192 + 197. Let r(w) = -3*w**4 + 5*w**3 + w**2 - 3. Let q(j) = -4*j**4 + 6*j**3 + 2*j**2 - 4. Let h(l) = f*q(l) - 6*r(l). Find v, given that h(v) = 0.
-1, 1
Suppose -143*t - 4*u + 591 = -140*t, -383 = -2*t + u. Suppose t - 160 = 11*v. What is f in 0 - 1/3*f**4 + 1/3*f**v - 4/3*f + 4/3*f**2 = 0?
-2, 0, 1, 2
Let x(v) be the first derivative of -3*v**5/5 + 189*v**4/2 - 4653*v**3 + 64638*v**2 - 350892*v - 3135. Factor x(t).
-3*(t - 57)**2*(t - 6)**2
Let s(l) = 5*l**4 + l**3 - 2*l**2 + 1. Let b(o) = 25*o**4 - 413*o**3 + 236*o**2 + 164*o + 3. Let j(w) = b(w) - 3*s(w). What is a in j(a) = 0?
-2/5, 0, 1, 41
Let g(h) = 5*h**4 + 1205*h**3 + 72688*h**2 + 43200*h - 2. Let f(m) = -10*m**4 - 2411*m**3 - 145360*m**2 - 86400*m + 5. Let y(j) = 2*f(j) + 5*g(j). Factor y(a).
a*(a + 120)**2*(5*a + 3)
Let c(f) be the third derivative of -f**5/630 - 179*f**4/252 + 20*f**3/7 + 206*f**2. Factor c(t).
-2*(t - 1)*(t + 180)/21
Let v = 119 - -397. Let q = -516 + v. Find l, given that q*l**2 + 0 + 2/9*l**3 - 2/9*l = 0.
-1, 0, 1
Let c(k) be the first derivative of -k**4/54 - 5*k**3/27 - 2*k**2/3 + 30*k + 67. Let o(q) be the first derivative of c(q). Find x such that o(x) = 0.
-3, -2
Suppose -5*c = 4*v - 378, 304 = 12*c - 8*c + 4*v. Suppose -c + 74 = -5*h. Solve 4/5*m**2 + 1/5*m**3 + 4/5*m + h = 0 for m.
-2, 0
Suppose 3*k + 9 - 33 = 3*t, 4*t + 23 = k. Let h be 0 - (-7 - (t + 1)). Find n such that 2/13*n**2 + 4/13*n**h + 2/13*n**4 + 0 + 0*n = 0.
-1, 0
Let b = 25 - 25. Let d(q) = q**3 - 2*q**3 + 0*q**3 + 1 + q + b. Let s(n) = -16*n**3 - 4*n**2 + 20*n + 20. Let a(u) = 20*d(u) - s(u). Let a(z) = 0. What is z?
0, 1
Let k be (-7)/(-2)*(-1 + 3). Suppose -k*x - 5*x + 4*x**2 - 9*x**2 + 2*x = 0. Calculate x.
-2, 0
Let l(g) be the first derivative of 1/24*g**4 - 32 - 1/6*g**3 + 0*g + 1/6*g**2. Determine p so that l(p) = 0.
0, 1, 2
Let r(c) = -18*c**3 - 4707*c**2 - 197237*c + 14137. Let g(h) = -28*h**3 - 7060*h**2 - 295855*h + 21203. Let z(s) = -5*g(s) + 7*r(s). Factor z(a).
(a + 84)**2*(14*a - 1)
Let n(y) be the second derivative of -15*y**2 - y**6 - 13*y**4 + 37/2*y**3 + 1/14*y**7 - y + 51/10*y**5 + 19. Factor n(r).
3*(r - 5)*(r - 2)*(r - 1)**3
Let y(m) = 107*m**4 + 331*m**3 - 20*m**2 - 969*m - 648. Let i(v) = -46*v**4 - 165*v**3 + 9*v**2 + 485*v + 324. Let z(u) = -7*i(u) - 3*y(u). Factor z(w).
(w - 2)*(w + 1)**2*(w + 162)
Let a be (-162)/12*-2*(-3)/(-3). Suppose -12 = -a*w + 24*w. Factor -3/2*l**2 + 0*l**3 + 3/4 + 3/4*l**w + 0*l.
3*(l - 1)**2*(l + 1)**2/4
Let y(s) be the third derivative of 0 - 2*s - 2*s**2 + 0*s**3 - 1/60*s**4 + 11/300*s**5 - 3/200*s**6. Factor y(c).
-c*(c - 1)*(9*c - 2)/5
Let v(l) be the first derivative of -961*l**3/3 + 1550*l**2 - 2500*l - 78. Factor v(i).
-(31*i - 50)**2
Factor -325/2 - 12*w**3 - 89*w**2 - 1/2*w**4 - 240*w.
-(w + 1)*(w + 5)**2*(w + 13)/2
Factor 19*w**4 + 255*w**2 + 22*w**4 - 108*w - 104*w**3 - 83*w**3 - 61*w**5 + 60*w**5.
-w*(w - 36)*(w - 3)*(w - 1)**2
Let w be -3*(-222)/18 - -3. Solve -w*h**2 - 9 + 25*h**4 + 3*h + 9 - 35*h**3 + 17*h = 0 for h.
-1, 0, 2/5, 2
Let l(j) = 154*j - 151. Let h be l(1). Let c(k) be the first derivative of 1/15*k**5 + 2/3*k**2 - 1/3*k**4 - 4/3*k + 1/3*k**h - 8. Factor c(w).
(w - 2)**2*(w - 1)*(w + 1)/3
Let y be (-4)/(-7) - (0 - 0). Let i = -42688 + 42690. Solve y + 8/7*r**3 + 4/7*r**5 - 12/7*r**4 + 8/7*r**i - 12/7*r = 0.
-1, 1
Let w(u) = -40*u**3 - 705*u**2 - 1575*u - 873. Let o(l) = -l**3 - l**2 - 2*l - 11. Let v(p) = 36*o(p) + 4*w(p). Factor v(s).
-4*(s + 12)*(7*s + 9)**2
Suppose 245 = 5*x - 5*l, 3*x = 343*l - 345*l + 142. Let q(y) be the first derivative of -8*y**2 + 0*y - 4/3*y**3 - x. Let q(j) = 0. What is j?
-4, 0
Let p(u) be the second derivative of -u**4/12 + 151*u**3/22 - 41*u**2/11 + 618*u. Factor p(h).
-(h - 41)*(11*h - 2)/11
Let v(i) = 6*i**2 + 883*i - 700. Let q(p) = 2*p**2 + 881*p - 700. Let c(g) = -9*q(g) + 8*v(g). Factor c(l).
5*(l - 28)*(6*l - 5)
Let y(k) be the second derivative of -k**7/105 - 98*k**6/15 + 738*k**5/25 - 739*k**4/15 + 493*k**3/15 + 6713*k. Solve y(t) = 0 for t.
-493, 0, 1
Let z(u) be the second derivative of -u**6/60 + u**5/80 - 65*u**3/6 + 139*u. Let y(n) be the second derivative of z(n). Factor y(f).
-3*f*(4*f - 1)/2
Suppose w - 18 = -a, 4*w = 3*a - 35 + 128. Solve -w*j + 39*j - j**2 - j**2 - 2*j - 24 = 0.
2, 6
Let h(v) be the second derivative of -249*v**5/4 + 5*v**4/6 + 167*v - 4. What is f in h(f) = 0?
0, 2/249
Let p(d) be the first derivative of d**5 + 95*d**4/2 - 145*d**3 - 710*d**2 - 800*d - 2980. Factor p(r).
5*(r - 4)*(r + 1)**2*(r + 40)
Let c(l) be the second derivative of 0*l**2 - 64*l - 1/12*l**4 - 8/3*l**3 + 0. Factor c(w).
-w*(w + 16)
Let r = 68 - 54. Factor r*h**4 - 55*h**3 + 11*h - 3*h + 16*h**2 + 17*h**3.
2*h*(h - 2)*(h - 1)*(7*h + 2)
Suppose 5*g - a = -4*a - 23, -2 = -2*g - 4*a. Let w = -3 - g. Factor 6*b**3 - 2*b**w - 5*b**2 + 6*b**4 + 2*b**2 - b**2.
2*b**2*(b + 2)*(2*b - 1)
Let g(h) = -h**2 + 15*h + 16. Let j be g(16). Suppose 4*u = 8 - j. What is f in -13*f + 5*f**u - 51 + 33*f + 51 = 0?
-4, 0
Solve 3/4*k**5 + 141/4*k**3 - 42*k**2 - 27*k - 9*k**4 + 60 = 0 for k.
-1, 2, 4, 5
Let i(l) be the third derivative of -2*l**2 - 1/560*l**7 + 125/16*l**3 - 3/8*l**5 + 0*l - 25/32*l**4 - 44 - 7/160*l**6. Determine a, given that i(a) = 0.
-5, 1
Suppose -3*g = -5 - 4. Let b be (-1246)/1068*(12/7 - 3). Factor -3/2 - 9/2*o - b*o**g - 9/2*o**2.
-3*(o + 1)**3/2
Let k = 566 - 563. Factor 9*r**2 + 23*r**3 + 20*r**2 + r**5 + 7*r**k + 33*r + 1 + 17*r**2 + 9*r**4 + 8.
(r + 1)**3*(r + 3)**2
Let q(s) = -s**3 - 10*s**2 - 5*s + 48. Let i be q(-3). Let d be (-10)/(-3) + (-2)/3. Determine f so that d + i*f - 2/3*f**2 = 0.
-2, 2
Suppose -99 + 4 = -5*h. Suppose 16 = i + m, 3*i - h = 2*m + 9. Suppose i*w**2 + 74*w - 45*w - 4*w**3 - 37*w = 0. Calculate w.
0, 1, 2
Let o = 6847474/7 - 978210. Factor 72/7*c**3 - 12/7 - 88/7*c**2 - 4*c**4 + o*c**5 + 52/7*c.
4*(c - 3)*(c - 1)**4/7
Let r be 14/(-6) - (9039/(-1656) + (-6)/(-16)). What is y in -r*y**4 - 4 + 12*y**2 + 20*y - 5*y**3 = 0?
-2, 2/11, 2
Let p(g) = 5*g**2 + 4460*g + 419635. Let r(y) = -2*y**2 - 1488*y - 139878. Let f(h) = 2*p(h) + 7*r(h). Factor f(b).
-4*(b + 187)**2
Let g(o) = 190*o - 945. Let r be g(5). Let q(m) be the second derivative of 4*m**2 + 1/5*m**r - 2/3*m**3 + 0 - 2/3*m**4 + 15*m. Factor q(j).
4*(j - 2)*(j - 1)*(j + 1)
Let p(o) be the first derivative of o**6/14 - 66*o**5/35 - 3*o**4/28 + 22*o**3/7 - 5572. Suppose p(y) = 0. What is y?
-1, 0, 1, 22
Let u be (-2518)/(-2219)*49/63. Let w = 2/317 + u. Factor 2/3*z**2 - 8/9 + w*z**3 - 8/9*z + 2/9*z**4.
2*(z - 1)*(z + 1)*(z + 2)**2/9
Let h be (124936/(-140))/(-46) - 17. Determine v, given that 8/5 + 2/5*v**2 - 1/5*v**4 - h*v + 3/5*v**3 = 0.
-2, 1, 2
Let z(w) = -40*w**4 - 98*w**3 - 319*w**2 - w + 416. Let y(q) = -34*q**4 - 98*q**3 - 318*q**2 - 2*q + 416. Let t(v) = -7*y(v) + 6*z(v). What is f in t(f) = 0?
-2, 1, 52
Let k(y) be the first derivative of -y**7/210 - y**6/8 - 9*y**5/20 - 13*y**4/24 + 125*y**2/2 + 19. Let f(d) be the second derivative of k(d). Factor f(z).
-z*(z + 1)**2*(z + 13)
Let o(j) = -1958*j - 3891. Let n be o(-2). Factor -15/2*w**4 - 1/2*w**5 - n*w**3 - 35*w**2 - 45/2*w - 11/2.
-(w + 1)**4*(w + 11)/2
Let d(b) be the first derivative of -b**4 - 56*b**3/3 + 2*b**2 + 56*b + 916. Determine j, given that d(j) = 0.
-14, -1, 1
Let 79/3*u - 38/3*u**2 - 40/3 - 1/3*u**3 = 0. What is u?
-40, 1
Let c be (-324)/405*(-4 - 15/(-5)). Let u(h) be the first derivative of 1/10*h**4 + 12/5*h**2 - c*h**3 - 16/5*h + 44. Suppose u(y) = 0. Calculate y.
2
Factor -39/2*n**2 - 162 - 126*n + 3/2*n**3.
3*(n - 18)*(n + 2)*(n + 3)/2
Let z be (-1023)/570 + 2 + (-39)/390. What is t in 0 + z*t**4 + 0*t + 0*t**2 + 12/19*t**3 = 0?
-6, 0
Let s = -855673 + 855675. Find t such that 3*t**s - 27 + 27/2*t - 3/2*t**3 = 0.
-3, 2, 3
Let u(w) be the first derivative of 5*w**5/36 - 5*w**4/18 + 2*w**3/9 - 109*w**2/2 - 103. Let y(r) be the second derivative of u(r). Factor y(b).
(5*b - 2)**2/3
Let f = 265098 + -265096. Factor 14/11 + 10/11*n**f + 26/11*n - 2/11*n**3.
-2*(n - 7)*(n + 1)**2/11
