**3 - 12*t**2 + t**3.
-3*(t + 1)**2*(t + 2)
Solve 1/4*x**4 + 63/4*x**2 - 23/4*x**3 + 5 - 61/4*x = 0 for x.
1, 20
Factor 5*d - d**2 + 8*d + 24 - 3*d.
-(d - 12)*(d + 2)
Factor 18*b + 66*b**3 - 15*b**2 - 17*b**3 - 46*b**3.
3*b*(b - 3)*(b - 2)
Let a(h) = 5*h**4 + 44*h**3 - 326*h**2 + 756*h - 493. Let y(f) = -2*f**4 - 22*f**3 + 162*f**2 - 378*f + 246. Let p(s) = -3*a(s) - 7*y(s). Factor p(i).
-(i - 9)**2*(i - 3)*(i - 1)
Let o(z) = -2*z**4 + 12*z**2 + 11*z - 1. Let u(y) = -2*y**4 - y**3 + y**2 - y + 1. Let j(g) = -3*o(g) - 3*u(g). Factor j(r).
3*r*(r - 2)*(r + 1)*(4*r + 5)
Suppose 0 = 4*k - 3*k - 26. Let b be (-2 - -4) + (k - -2). Find s such that -40*s + 35*s**2 + 4 + 4 + 27*s**2 - b*s**3 = 0.
2/5, 2/3, 1
Let l(p) = -2*p**2 - 2. Let t(g) = 17*g**2 - 11*g - 10. Let k(b) = -2*l(b) + t(b). Determine c, given that k(c) = 0.
-1/3, 6/7
Let x(d) be the second derivative of -d**7/630 + 2*d**5/15 - 13*d**4/12 + 5*d. Let y(o) be the third derivative of x(o). Let y(a) = 0. What is a?
-2, 2
Suppose -200 = 8*t - 12*t. Let n be (-3)/(-2)*t/45. Let -7/3*k**4 + 0 + 2/3*k**2 - n*k**3 + 0*k = 0. Calculate k.
-1, 0, 2/7
Suppose -65*v = -73*v + 16. Let y(j) be the second derivative of 0 + 1/90*j**5 - 1/27*j**4 - j + 1/27*j**3 + 0*j**v. Find f, given that y(f) = 0.
0, 1
Let p(s) = -s**3 + 10*s**2 + 11*s + 4. Let c be p(11). Suppose 4 = -c*h + 20. Factor -w - w**4 + 3*w + 2*w**h - 3*w**2.
w*(w - 1)**2*(w + 2)
Let b(m) be the third derivative of -m**7/42 + 5*m**6/8 + 17*m**5/12 - 25*m**4/8 - 40*m**3/3 + 12*m**2 - 12. Factor b(c).
-5*(c - 16)*(c - 1)*(c + 1)**2
Let o(n) be the first derivative of -n**4/4 + 4*n**3/3 + 5*n**2/2 + 5*n + 8. Let r be o(5). Factor -r*s**2 + 13*s**2 + s**4 - 12*s**4 + 2*s**5 + 5*s**4.
2*s**2*(s - 2)**2*(s + 1)
Let q(r) be the first derivative of -r**3/12 - 79*r**2/4 - 6241*r/4 + 121. Factor q(l).
-(l + 79)**2/4
Let p(n) = -16*n**5 + 120*n**4 + 276*n**3 - 192*n**2 - 260*n + 84. Let k(i) = i**4 - i**2 + 3. Let j(x) = -4*k(x) + p(x). Let j(b) = 0. Calculate b.
-2, -1, 1/4, 1, 9
What is r in 4*r + 137*r**4 - 284*r**4 + 141*r**4 + 6*r**2 - 2*r**3 - 2*r**5 = 0?
-2, -1, 0, 1
Let y(i) be the second derivative of i**7/147 + 16*i**6/105 + 9*i**5/14 - 27*i**4/7 - 165*i. Factor y(a).
2*a**2*(a - 2)*(a + 9)**2/7
Suppose -27 = -26*a + 51. Let r(o) be the third derivative of 2/3*o**a + 1/15*o**5 - 1/3*o**4 + 0*o + 3*o**2 + 0. What is c in r(c) = 0?
1
Let m(w) be the third derivative of -w**6/1140 + 2*w**5/285 + 5*w**4/76 - 6*w**3/19 + 667*w**2. Factor m(b).
-2*(b - 6)*(b - 1)*(b + 3)/19
Let y(o) be the second derivative of -o**4/12 - o**3/3 + 15*o + 2. Suppose y(g) = 0. Calculate g.
-2, 0
Let h(r) be the third derivative of r**6/300 - r**5/50 + 4*r**3/15 + 221*r**2. What is u in h(u) = 0?
-1, 2
Let r = -41/40 - -3/20. Let s = -11/40 - r. Factor 0*u + 6/5*u**2 + s*u**3 + 0.
3*u**2*(u + 2)/5
Suppose 0 = 2*o + 5*h - 350, 356 = -o + 3*o + 2*h. Let k be o/9 + (-1)/(-1). Factor 54*y**2 + 6*y + 3*y**4 - 63*y + 0*y**4 - 3*y + 24 - k*y**3.
3*(y - 2)**3*(y - 1)
Let v be (3 + 16150/(-5385))*-9. Let b = v + 6495/3949. Factor -2/11*f**3 - 6/11*f - b + 10/11*f**2.
-2*(f - 3)**2*(f + 1)/11
Let b be 10/35 - ((-57)/21 - 1). Let k(r) be the first derivative of 2/15*r**5 - 2/9*r**3 + 6 + 0*r + 1/3*r**2 - 1/6*r**b. Factor k(w).
2*w*(w - 1)**2*(w + 1)/3
Let f = 52 - 51. Determine j so that -3*j**2 - 9*j - 3*j + f - 13 = 0.
-2
Let m be (9/12)/((-75)/(-60)). Let n(x) be the third derivative of -1/10*x**4 + 0*x + 0 + 1/150*x**5 + 2*x**2 + m*x**3. Factor n(u).
2*(u - 3)**2/5
Suppose 0 = 2*u - 2*k + 4 + 46, u = 4*k - 34. Let z = 22 + u. Find t, given that -4*t**3 + 4*t**2 + z*t**3 - 22*t**2 - 10*t**2 - 36 - 60*t = 0.
-3, -1
Factor -7/2*g**3 + 0 - 2*g + 8*g**2.
-g*(g - 2)*(7*g - 2)/2
Let l be (30/(-8))/((-15)/20 + 0). Let c(u) be the third derivative of -1/60*u**l + 0*u + 5*u**2 + 0 + 1/6*u**4 - 2/3*u**3. Factor c(y).
-(y - 2)**2
Let m be ((-9)/((-36)/8))/9. Let s(i) be the first derivative of -2/3*i**2 + 2*i - 1 - m*i**3. Solve s(f) = 0 for f.
-3, 1
Let a(v) be the third derivative of -1/42*v**4 + 1/70*v**6 - 2/105*v**5 + 0 + 0*v**3 + v**2 + 0*v. Suppose a(h) = 0. What is h?
-1/3, 0, 1
Solve 92/5*z**2 + 28/5 + 374/15*z - 14/15*z**3 = 0.
-1, -2/7, 21
Let l(i) be the first derivative of -3*i**5/5 + 6*i**4 - 15*i**3 + 297. Suppose l(o) = 0. Calculate o.
0, 3, 5
Let k(d) = 8*d**2 - 15*d**3 - 6*d**2 - 15 + 10*d + 13*d**2. Let p(x) = -8*x**3 + 7*x**2 + 5*x - 7. Let u(q) = 3*k(q) - 5*p(q). Factor u(b).
-5*(b - 2)*(b - 1)*(b + 1)
Let q(k) = 6*k**4 + 9*k**3 - 3*k**2 - 18*k. Let l(s) = 7*s**4 + 7*s**3 - 3*s**2 - 19*s. Let z(m) = 3*l(m) - 4*q(m). Factor z(v).
-3*v*(v - 1)*(v + 1)*(v + 5)
Suppose -2*n = -19 - 31. Factor -2*f + 2*f**4 - f**4 - n*f**3 + 21*f**3 + 5*f**2.
f*(f - 2)*(f - 1)**2
Let c(l) be the first derivative of -3*l**5/5 + 3*l**4/4 + 12*l**3 + 6*l**2 - 48*l - 383. Find k such that c(k) = 0.
-2, 1, 4
Let x(d) = -3*d - 2. Let u be x(-2). Let i(l) = -l**3 + 3*l**2 + 5*l. Let n be i(u). Factor 2 - 2*y + 2*y**4 - 6*y**5 + 2*y**5 - n*y**2 + 4*y**3 + 2*y**5.
-2*(y - 1)**3*(y + 1)**2
Let w(o) be the first derivative of -o**4/3 + 4*o**3/3 + 2*o**2/3 - 4*o - 71. Suppose w(j) = 0. What is j?
-1, 1, 3
Determine i, given that 100/7*i - 96/7 - 4/7*i**2 = 0.
1, 24
Let u(w) be the second derivative of 3/4*w**2 - 3/20*w**5 + 0*w**6 + 1/56*w**7 + 0 + 3/8*w**3 + 6*w - 1/8*w**4. Determine a so that u(a) = 0.
-1, 1, 2
Let h be 44/(-1848)*(-3)/135*2. Let n(q) be the third derivative of 0 + 1/27*q**3 + h*q**7 + 3*q**2 + 0*q + 0*q**4 + 0*q**6 - 1/135*q**5. Factor n(c).
2*(c - 1)**2*(c + 1)**2/9
Let n be ((-192)/84)/(-8) + (-1396)/35. Let f = 40 + n. Determine a so that 6/5*a**4 + f*a**3 + 0*a - 14/5*a**2 - 2/5*a**5 + 8/5 = 0.
-1, 1, 2
Let w(n) be the third derivative of -3*n**8/49 + 136*n**7/245 - 37*n**6/210 - 26*n**5/7 - 41*n**4/14 - 20*n**3/21 - 243*n**2. Find g, given that w(g) = 0.
-1, -1/6, 2, 5
Let 720*s**4 + 90*s**4 + 736*s**5 + 479*s**5 - 1096*s**3 - 7*s**2 + 1036*s**3 - 33*s**2 = 0. What is s?
-2/3, -2/9, 0, 2/9
Let h(w) be the third derivative of 0 + 3*w - 9*w**2 - 1/5*w**4 - 2/525*w**7 - 7/200*w**6 - 37/300*w**5 - 2/15*w**3. Suppose h(x) = 0. Calculate x.
-2, -1, -1/4
Let s(o) be the second derivative of -4/5*o**5 - 8*o**4 - 128/3*o**3 - 17*o - 1/30*o**6 + 0 - 128*o**2. Determine u, given that s(u) = 0.
-4
Let p(a) = 92*a**2 - 9792*a + 665884. Let z(q) = -10*q**2 + 1088*q - 73987. Let c(r) = -3*p(r) - 28*z(r). Factor c(n).
4*(n - 136)**2
Let i(f) be the second derivative of 0*f**3 - 1/60*f**5 + 0*f**2 - 8*f - 1/9*f**4 + 0. Solve i(w) = 0 for w.
-4, 0
Let w(g) be the third derivative of 1/1575*g**7 + 37/180*g**4 + 4/15*g**3 + 1/60*g**6 + 0*g + 13/150*g**5 + 0 + 42*g**2. Factor w(f).
2*(f + 1)**3*(f + 12)/15
Let l(p) be the third derivative of p**5/690 + p**4/23 + 20*p**3/69 + 17*p**2 + 2. Let l(r) = 0. Calculate r.
-10, -2
Let h(j) be the second derivative of 3/8*j**4 + 0*j**5 - 4*j + 0 + 3*j**2 - j**3 - 1/40*j**6. Let z(q) be the first derivative of h(q). Solve z(l) = 0.
-2, 1
Suppose -18*o = -13*o - 100. Factor -f - o*f + 10*f**2 + 26*f + 5*f**3.
5*f*(f + 1)**2
Let b(c) be the first derivative of c**8/840 + c**7/70 + c**6/20 + c**5/15 - 44*c**3/3 - 34. Let s(f) be the third derivative of b(f). Factor s(q).
2*q*(q + 1)**2*(q + 4)
Let u(b) = -347*b**3 + 294*b**2 - 84*b + 6. Let n(k) = 2*k**3 + 1. Let j(w) = -2*n(w) - u(w). Let j(m) = 0. Calculate m.
2/7
Let v be ((-6)/(-10))/(9/315). Let b be ((-14)/v)/(2/(-9)). Factor 0*i**4 + 1 + 3*i**5 + 2*i**2 + 2*i**3 - 3*i**4 - b*i - 2*i**5.
(i - 1)**4*(i + 1)
Solve -20/3*x - 10/9*x**3 - 16/9 - 6*x**2 = 0.
-4, -1, -2/5
What is c in -113*c - 166*c**2 + 46 - 2284*c**3 + 1135*c**3 + 1142*c**3 = 0?
-23, -1, 2/7
Let h(x) be the first derivative of 22 - 3/4*x**4 + x**3 - 36*x + 12*x**2. Factor h(q).
-3*(q - 2)**2*(q + 3)
Let d(p) be the second derivative of p**4/4 - 4*p**3 + 21*p**2/2 + 109*p. Solve d(v) = 0.
1, 7
Let z(s) = s + 26*s + 15 - 45 + 17*s**2. Let k(j) = -43 + 0*j**2 - 9*j**2 - 42 - 14*j + 100. Let a(p) = -7*k(p) - 4*z(p). Solve a(v) = 0 for v.
-3, 1
Suppose 3*w - 74 = 22. Suppose -3*i - w = -5*i. Determine y so that -25*y - 12 - 15 + 15 + i*y**2 + 69*y = 0.
-3, 1/4
Let s be (-13)/78 + (-2)/(-4). Let c(y) be the second derivative of -s*y**3 + 0 + 