**3 + 3/4*h**4 = 0.
-1, 0, 1, 2
Let b(n) = n**2 + 63*n + 841. Let u be b(-19). Factor 1/5*l**2 + 1/5*l**3 + 0*l - 1/5*l**u - 1/5*l**4 + 0.
-l**2*(l - 1)*(l + 1)**2/5
Let f = 295 - 292. Let j(g) be the first derivative of 9/28*g**4 - 4 + 0*g**2 - 9/35*g**5 - 1/7*g**f + 1/14*g**6 + 0*g. Let j(v) = 0. Calculate v.
0, 1
Let 66/7 + 19/7*z - 1/7*z**2 = 0. Calculate z.
-3, 22
Let x(z) be the first derivative of -13 - z**5 - 31 + 5*z**3 + 8 - 5*z**2 + 5. Factor x(s).
-5*s*(s - 1)**2*(s + 2)
Determine o, given that 7 + 1/2*o**3 - 27/2*o + 6*o**2 = 0.
-14, 1
Suppose 0 = -4*w - 0*w + 12. Factor -7*q**2 + 3*q + 3*q - 6*q - w*q.
-q*(7*q + 3)
Let o(c) = -75*c**2 + 7*c + 18. Let j(g) = -525*g**2 + 51*g + 126. Let z(u) = 4*j(u) - 27*o(u). Let z(p) = 0. What is p?
-2/5, 3/5
Factor -5/4*u**2 + 45/4*u - 10.
-5*(u - 8)*(u - 1)/4
Let m(f) = f. Let j(n) = 45*n**4 - 93*n**3. Suppose 4*d = -d. Suppose d = -u + 4 - 3. Let w(a) = u*j(a) + 12*m(a). Suppose w(r) = 0. What is r?
-1/3, 0, 2/5, 2
Suppose -9*m = -19 + 1. Factor 2/3*b**m + 0*b**3 - 1/3*b + 1/3*b**5 + 0 - 2/3*b**4.
b*(b - 1)**3*(b + 1)/3
Let a(n) be the third derivative of 0 - 7/12*n**5 + 0*n + 1/6*n**6 + 0*n**3 - 5/12*n**4 - 10*n**2. Let a(m) = 0. What is m?
-1/4, 0, 2
Solve 0*b + 0 - 2/19*b**3 - 44/19*b**2 = 0.
-22, 0
Suppose 0 = -3*c - 5 + 11. Suppose 0 = -3*r + r + 8. Determine a so that 107 + r*a**2 - 107 + 2*a**3 - c*a**4 = 0.
-1, 0, 2
Let a(d) = -127*d - 887. Let z be a(-7). Factor -2/9*r**z + 4/3*r - 2.
-2*(r - 3)**2/9
Let j(x) = 2*x - 8*x**2 + 2*x - x**3 - 14*x + x - 10. Let t be j(-7). Factor -21*o + 15*o**3 + 24*o + 3*o**t - 6*o**3 + 9*o**2.
3*o*(o + 1)**3
Factor 12/7 + 2/7*h**3 - 2*h + 0*h**2.
2*(h - 2)*(h - 1)*(h + 3)/7
Let u(w) = w**2 + 8*w + 15. Let n be u(-6). Factor 2*x**2 + 6*x**2 - 2*x**n + x + 3*x + 6*x**3.
4*x*(x + 1)**2
Let p(k) = -64*k**5 + 188*k**4 - 256*k**3 + 48*k**2. Let v(q) = 21*q**5 - 63*q**4 + 85*q**3 - 16*q**2. Let t(x) = 5*p(x) + 16*v(x). Factor t(c).
4*c**2*(c - 2)**2*(4*c - 1)
Let a = -249/4 + 1277/20. Find m such that 6/5*m**2 - 1/5*m**3 - 12/5*m + a = 0.
2
Factor 112/3*r**3 - 4/3*r**4 + 0 + 0*r - 784/3*r**2.
-4*r**2*(r - 14)**2/3
Let c(y) be the first derivative of 28*y**3/3 - 822*y**2 - 472*y - 231. Determine u, given that c(u) = 0.
-2/7, 59
Suppose -5/3*m**3 + 2/3*m**2 + 5/6*m**5 - 1/3*m**4 - 1/3 + 5/6*m = 0. Calculate m.
-1, 2/5, 1
Let d(h) = -44*h**3 + 6*h**2 - 36*h - 54. Let t(x) = 2*x**3 + 2*x**2. Let k(l) = -2*d(l) - 36*t(l). Let k(y) = 0. What is y?
-3/4, 3
Let g(h) be the third derivative of -2*h**7/105 + h**5/15 - 75*h**2. Factor g(z).
-4*z**2*(z - 1)*(z + 1)
Factor 4/3*m + 0 + 1/3*m**3 - 5/3*m**2.
m*(m - 4)*(m - 1)/3
Let b = 101 + 562. Let d be b/1001 + (-1)/11. Factor d*v**2 + 4/7*v**4 + 12/7*v**3 - 8/7 - 12/7*v.
4*(v - 1)*(v + 1)**2*(v + 2)/7
Let t(g) be the first derivative of -2*g**5/5 + g**4 + 8*g**3 - 40*g**2 + 64*g + 82. Solve t(n) = 0.
-4, 2
Let t be (7/(-7))/((-2)/46). Factor -8 + 22*f - 16*f**3 - 33*f + 4*f**5 + 8*f**2 + t*f.
4*(f - 1)**3*(f + 1)*(f + 2)
Let x(n) be the third derivative of -11/12*n**6 + 7/3*n**5 + 0 + 10/3*n**3 - 5/336*n**8 - 5*n**2 + 0*n - 85/24*n**4 + 4/21*n**7. Let x(p) = 0. What is p?
1, 4
Let a(o) = 8*o**3 + 12*o**2 - 4*o - 8. Let s(c) = 17*c**3 + 25*c**2 - 7*c - 15. Let w(t) = -5*a(t) + 2*s(t). Factor w(x).
-2*(x - 1)*(x + 1)*(3*x + 5)
Let h be (1/30)/(23/759). Factor -h*k**3 - 3/10*k**4 - 1/5 - 9/10*k - 3/2*k**2.
-(k + 1)**3*(3*k + 2)/10
Let m(s) be the first derivative of 1/24*s**6 - s + 1/2*s**4 + 13 + 3/10*s**5 - 9/8*s**2 - 1/6*s**3. Factor m(g).
(g - 1)*(g + 1)**3*(g + 4)/4
Suppose -3*i - 5*d + 214 = -2*i, 4*i - d = 814. Determine m, given that -5*m**2 - 80*m**4 + i*m**3 - 324*m**3 - 5 + 37*m - 7*m = 0.
-1, 1/4
Let y(o) be the first derivative of 7*o**6/3 + 22*o**5/25 - 16*o**4 - 16*o**3/3 + 16*o**2 - 32*o/5 + 108. Determine h, given that y(h) = 0.
-2, -1, 2/7, 2/5, 2
Let v(n) be the first derivative of 2*n**5 - 35*n**4/4 + 35*n**3/3 - 5*n**2 - 74. Factor v(f).
5*f*(f - 2)*(f - 1)*(2*f - 1)
Let t = 45/22 + -62/33. Factor -1/6*r**3 + t*r - 1/6*r**2 + 1/6.
-(r - 1)*(r + 1)**2/6
Let s(o) = -o - 8. Let r be s(-7). Let p(f) = 1. Let c(u) = u**2 + 6*u + 13. Let b(d) = r*c(d) + 4*p(d). Suppose b(w) = 0. What is w?
-3
Let d be (-14)/(-9)*(-60)/(-14). Find k, given that 0 - d*k**3 + 28/3*k**2 - 8/3*k = 0.
0, 2/5, 1
Let y(z) be the third derivative of 0*z + 0*z**3 - 1/6*z**5 - 5/24*z**6 - 1/21*z**7 + 0*z**4 + 0 - 4*z**2. Determine r so that y(r) = 0.
-2, -1/2, 0
Factor 1/9*h**3 + 46/9*h**2 + 425/9*h - 2500/9.
(h - 4)*(h + 25)**2/9
Let a = 35 - 20. Factor -8*y**2 - 6 + 16*y + a - 4*y**2 + 7.
-4*(y - 2)*(3*y + 2)
Let c(l) be the first derivative of -20/3*l**3 + 3*l**4 - 32 + 0*l + 2/3*l**6 + 4*l**5 - 8*l**2. Factor c(q).
4*q*(q - 1)*(q + 1)**2*(q + 4)
Let i(f) = -f**3 + f**2 + 1. Let h(k) = 8*k**3 - 7*k**2 - k - 7. Let a(d) = -3*h(d) - 21*i(d). What is o in a(o) = 0?
-1, 0, 1
Let g(f) = -f**3 - 6*f**2 - 8*f - 6. Let d be g(-5). What is i in 25*i**4 + d*i**3 - 10*i**3 - 15*i**5 - 9*i**3 = 0?
0, 2/3, 1
Let u(q) = 22*q**5 - 14*q**4 + 44*q**2 - 34*q. Let i(z) = 18*z**5 - 14*z**4 + z**3 + 43*z**2 - 33*z. Let d(x) = 6*i(x) - 5*u(x). Solve d(g) = 0.
-7, -2, 0, 1
Let n(j) be the third derivative of -j**8/840 - 2*j**7/525 - 43*j**2. Solve n(f) = 0.
-2, 0
Let f be (2/(-10) - 0) + 851/2990. Let h = f - -3/26. Determine w so that -h*w**2 + 2/5 + 1/5*w = 0.
-1, 2
Suppose g - 11 = -2*n, -23 = 4*n - 7*n + 5*g. Factor -n*y + 3*y**2 - 24 + 21 - 21.
3*(y - 4)*(y + 2)
Let t(y) = 3*y**4 - 12*y**3 - 23*y**2 + 12*y - 5. Let r(i) = -4*i**4 + 12*i**3 + 24*i**2 - 16*i + 6. Let o(m) = -5*r(m) - 6*t(m). Determine v so that o(v) = 0.
-4, -1, 0
Let z = 7 - 7. Suppose -2*b + 3*f = 3*b - 1, -5*b + f + 7 = z. Factor t**5 + 0*t + 3*t + b*t**4 - 2*t**2 - 4*t.
t*(t - 1)*(t + 1)**3
Let -50/9 + 2/9*q**5 + 68/9*q**2 + 28/9*q**3 - 10/3*q - 2*q**4 = 0. What is q?
-1, 1, 5
Determine j, given that -3/4*j**2 + 99/2*j - 3267/4 = 0.
33
Let c(k) be the first derivative of -k**3/9 + 100*k**2/3 - 10000*k/3 + 39. Factor c(o).
-(o - 100)**2/3
Let f(c) be the second derivative of c**7/42 - c**6/45 - 11*c**5/180 + c**4/27 + 2*c**3/27 + 32*c - 1. Factor f(g).
g*(g - 1)**2*(3*g + 2)**2/9
Let a(z) be the second derivative of 242*z**7/147 - 649*z**6/210 - 52*z**5/35 + 613*z**4/84 - 46*z**3/7 + 18*z**2/7 + 385*z. What is q in a(q) = 0?
-1, 1/4, 6/11, 1
Let d(k) be the third derivative of 0*k**3 + 0 + 0*k**6 - 1/15*k**5 + 11*k**2 + 2/315*k**7 - 1/9*k**4 + 0*k. Factor d(m).
4*m*(m - 2)*(m + 1)**2/3
Let l(a) = -13*a**2 + 107*a - 387. Let p(o) be the third derivative of o**5/10 - 9*o**4/4 + 97*o**3/3 + 26*o**2. Let c(m) = 2*l(m) + 5*p(m). Factor c(i).
4*(i - 7)**2
Let l(f) be the second derivative of -3/70*f**5 - 1/14*f**4 - 1/105*f**6 + 0 + 26*f + 0*f**2 - 1/21*f**3. Let l(j) = 0. What is j?
-1, 0
Let c(f) = -2*f**3 - 8*f**2 - 8*f - 2. Let v(z) = -2*z**3 - 8*z**2 - 8*z - 3. Let k(d) = -3*c(d) + 2*v(d). Factor k(r).
2*r*(r + 2)**2
Factor -220/3*j + 308/9*j**2 + 56 + 4/9*j**4 - 20/3*j**3.
4*(j - 7)*(j - 3)**2*(j - 2)/9
Let c be ((-1)/4)/(3 + (-148)/48). Let g = 5 + 0. Determine a, given that -5*a**4 + 0*a**c - a**4 + g*a**4 + a**3 = 0.
0, 1
Let g be 55/33 - 38/24. Let n(y) be the third derivative of 4*y**2 + 1/60*y**6 - 1/3*y**3 + 0*y + 1/40*y**5 + 0 - g*y**4 + 1/420*y**7. Factor n(f).
(f - 1)*(f + 1)*(f + 2)**2/2
Factor 40 - 2*f - 16*f**2 - 25*f**3 + 3*f**4 - 2*f - 8*f**4 + 24*f - 14*f**2.
-5*(f - 1)*(f + 2)**3
Let h(b) be the third derivative of 7*b**6/780 - 92*b**5/195 + 95*b**4/12 - 26*b**3/3 + 235*b**2. Factor h(f).
2*(f - 13)**2*(7*f - 2)/13
Suppose 2*n - 2 = 0, -4*n + 57 - 53 = -5*q. Find f such that -2/3*f**3 + 0 - 2/3*f**5 + 0*f**2 - 4/3*f**4 + q*f = 0.
-1, 0
Let h = -15232/3 - -5080. Factor -12*f + 12*f**3 - h*f**2 + 8/3.
4*(f - 1)*(f + 1)*(9*f - 2)/3
Suppose -7*q - 3 = -6*q. Let l(k) = 2*k**2 + 5*k + 2. Let p be l(q). Factor 6*v**3 + p - 4*v**3 + 3 - 6*v**2.
2*(v - 2)**2*(v + 1)
Let t(s) be the third derivative of s**9/272160 - s**8/45360 - s**7/4536 + s**6/540 - s**5/15 + 5*s**2. Let u(g) be the third derivative of t(g). Factor u(w).
2*(w - 3)*(w - 1)*(w + 2)/9
Factor -4/5*l**2 + 2/5*l + 0 + 1/2*l**3 - 1/10*l**4.
-l*(l - 2)**2*(l - 1)/10
Suppose 2*u + 264 = -u. Let x = 91 + u. Let 