 - 2*f**2 + 3*f**2.
-3*(f - 25)*(f + 4)
Let b(h) = 2*h**3 + h - 1. Let v(z) = 25*z**4 - 10*z**3 - 20*z**2 - 25*z + 25. Let t(x) = -25*b(x) - v(x). Factor t(y).
-5*y**2*(y + 2)*(5*y - 2)
Let t(v) be the first derivative of 2*v**2 + 4/5*v**5 + 14 - v**4 - 4*v**3 + 8*v. Factor t(q).
4*(q - 2)*(q - 1)*(q + 1)**2
Let u(h) be the third derivative of h**5/180 - h**4/24 - 5*h**3/9 - 30*h**2 - 2*h. Factor u(c).
(c - 5)*(c + 2)/3
Let u(w) be the first derivative of -5*w**3/9 - 35*w**2 - 205*w/3 - 475. Factor u(a).
-5*(a + 1)*(a + 41)/3
Suppose 29*s + 34*s - 43*s = 0. Let q(m) be the first derivative of -7 + 0*m - m**4 + 4/3*m**3 + s*m**2. Determine o, given that q(o) = 0.
0, 1
Suppose -5*u - 2*r = -52, 17 = 2*u + 5*r - 8. Suppose 7*n = 11 + u. Let -8/9*l**n - 4/9*l + 0 + 2/9*l**4 + 10/9*l**2 = 0. What is l?
0, 1, 2
Let z be (-2)/3 + 1638/27. Let f be (-18)/63 + z/14. Solve 16*v - 7*v**2 + v**2 - 10*v**2 + f*v**3 = 0 for v.
0, 2
Let d(q) be the second derivative of -19*q**4/60 - 11*q**3/6 + 3*q**2/5 + 2*q - 27. Solve d(n) = 0 for n.
-3, 2/19
Let t = -7699/10 + 770. Let 1/10*j + 0 + t*j**2 = 0. Calculate j.
-1, 0
Let q = -69 + 71. Let j(u) = 2*u**2 - 3*u - 4. Let k be j(3). Determine z so that -z + 2*z**2 + 2 + 2*z**3 + z**2 - k*z**q - z**3 = 0.
-1, 1, 2
Let z(w) be the third derivative of -w**5/60 + 2*w**3/3 + 44*w**2. Suppose z(o) = 0. Calculate o.
-2, 2
Let y(m) = 5*m**3 + 12*m**2. Let n(a) = -15*a**3 - 37*a**2. Let i(b) = -2*n(b) - 7*y(b). Factor i(r).
-5*r**2*(r + 2)
Let g(d) be the second derivative of -d**5/20 + d**4/2 + d**2 + 3*d. Let r be g(6). Suppose 3*m + r*m + 2*m**3 - 3*m - 4*m**2 = 0. What is m?
0, 1
Find c, given that 0 + c**2 + 2/3*c + 0*c**3 - 1/3*c**4 = 0.
-1, 0, 2
Let d(c) = 3*c**2 + 20*c + 96. Let b(l) = -10*l**2 - 60*l - 286. Let u(y) = -6*b(y) - 21*d(y). Factor u(s).
-3*(s + 10)**2
Let b be 5526/54 - 4/3. Let m = -97 + b. What is z in 1/2*z - 1/2*z**3 + 3/2*z**2 - 3/2*z**m + 0 = 0?
-1, -1/3, 0, 1
Let y(v) be the second derivative of 0*v**2 - 1/4*v**5 + 1/3*v**6 + 5/42*v**7 + 0*v**3 + 8*v + 0 - 5/6*v**4. Factor y(m).
5*m**2*(m - 1)*(m + 1)*(m + 2)
Suppose 0 = 4*t - 2*t. Factor 28*i**3 + t*i**5 - 15*i**3 - 16*i**3 + 3*i**5.
3*i**3*(i - 1)*(i + 1)
Let p(o) be the first derivative of 17 - 5/4*o**3 + 69/8*o**2 + 15/2*o. Let p(m) = 0. Calculate m.
-2/5, 5
Suppose 0 = p, 1 = -5*x + 4*p + 6. Let i = x - -3. Factor i*y + y**3 - y**2 - 7 - 6*y + 7.
y*(y - 2)*(y + 1)
Suppose 0 = -l + 4*l + 4*x - 25, x - 19 = -5*l. Suppose 13*f**3 - 4*f**3 - 5*f**l - 2*f**3 + 64 - 12*f**2 = 0. Calculate f.
-2, 4
Let j be (-16)/(-132)*-15*(-13 + 832/65). Determine p, given that 14/11*p + 6/11*p**2 + j - 14/11*p**3 - 10/11*p**4 = 0.
-1, -2/5, 1
Factor -3*d**3 + 0 + 0*d**4 + 3/2*d**5 + 3/2*d + 0*d**2.
3*d*(d - 1)**2*(d + 1)**2/2
Let o(d) = 181*d + 3620. Let m be o(-20). Suppose 9/8*w + m - 3/2*w**2 + 3/8*w**3 = 0. Calculate w.
0, 1, 3
Let y(o) = o**3 - 55*o**2 - o + 55. Let t be y(55). What is u in 0*u**2 - 4/3*u**4 - 2/3*u**3 + t - 2/3*u**5 + 0*u = 0?
-1, 0
Factor 17*a**3 + 495*a**2 - 255*a - 80 - 7*a**3 - 170.
5*(a - 1)*(a + 50)*(2*a + 1)
Let q(a) be the third derivative of -1/240*a**5 + 3*a**2 + 0*a - 1/240*a**6 + 0*a**3 + 1/840*a**7 + 1/48*a**4 + 0. Find f such that q(f) = 0.
-1, 0, 1, 2
Let u = 12735/7 - 1819. Determine c, given that -32/7*c**2 - u*c**5 - 4/7 - 4*c**3 - 18/7*c - 12/7*c**4 = 0.
-2, -1
Let b(c) be the second derivative of c**6/36 + c**5/30 - c**4/12 - c**3/9 + c**2/12 - 5*c. Determine q so that b(q) = 0.
-1, 1/5, 1
Let n(f) = -8*f**3 + 2*f**2 + 17*f. Let t(i) = 3*i**3 - i**2 - 6*i. Let k be 134/(-11) - -1 - (-4)/22. Let h(g) = k*t(g) - 4*n(g). Solve h(z) = 0 for z.
0, 1, 2
Let z be ((-6)/(-36))/(13/156). Let r(n) be the second derivative of 0 - 1/120*n**5 + 0*n**4 + 1/36*n**3 + 0*n**z - 6*n. Factor r(k).
-k*(k - 1)*(k + 1)/6
Let h(t) = -5*t**2 - 7*t + 4. Let g(d) = 4*d**2 + 7*d - 4. Let l(p) = 6*g(p) + 5*h(p). Let f be l(6). Factor 19*u**2 - 179*u + 8 - 61*u**f + 195*u.
-2*(3*u - 2)*(7*u + 2)
Factor 0*r**3 - 3*r - 11/6*r**2 - 4/3 + 1/6*r**4.
(r - 4)*(r + 1)**2*(r + 2)/6
Let u(j) be the third derivative of -j**5/15 - 5*j**4 - 150*j**3 - j**2 - 113. Find t such that u(t) = 0.
-15
Factor -3*g**3 + 176 - 39 + 797*g**2 + 52 - 827*g**2 + 27 - 36*g.
-3*(g - 2)*(g + 6)**2
Let t(h) be the second derivative of h**7/210 - h**5/100 + 10*h + 2. Factor t(k).
k**3*(k - 1)*(k + 1)/5
Factor -69/5*n**4 + 3/5*n**5 - 180*n**2 + 96*n**3 + 0*n + 0.
3*n**2*(n - 10)**2*(n - 3)/5
Let 51/2*x**4 - 103/2*x**3 - 9/2*x**5 - 16*x + 89/2*x**2 + 2 = 0. Calculate x.
1/3, 1, 2
Let z(x) be the first derivative of 2*x**3/3 - 2*x**2 - 30*x + 31. Find n such that z(n) = 0.
-3, 5
Let h(y) = -y**2 + 2*y - 1. Let j(a) = -3*a**3 - 348*a**2 - 9039*a - 18. Let m(l) = -18*h(l) + j(l). Let m(z) = 0. What is z?
-55, 0
Let m(s) be the third derivative of -s**5/330 - 13*s**4/33 - 676*s**3/33 + 347*s**2. Find f such that m(f) = 0.
-26
Suppose 58*p - p**2 - 146*p + 5*p**2 + 242 + 242 = 0. Calculate p.
11
Let y(c) = -c**3 + 4*c - 5 - 5*c**2 - 3*c + 0*c. Let i(h) = -h**3 - 6*h**2 + h - 6. Suppose -35*b + 54*b - 95 = 0. Let d(u) = b*i(u) - 6*y(u). Factor d(m).
m*(m - 1)*(m + 1)
Let 31/4 - 31/4*b**2 - 1/4*b + 1/4*b**3 = 0. Calculate b.
-1, 1, 31
Let u(y) be the third derivative of -y**6/240 - y**5/120 - 172*y**2. Factor u(g).
-g**2*(g + 1)/2
Let j(n) be the second derivative of -n**4/4 + n**3/2 + 45*n**2 + 3*n + 30. Solve j(r) = 0 for r.
-5, 6
Let d = -25 + 34. Find k, given that -12*k**3 - k**4 + 18*k**3 - 2*k**2 + d*k**4 = 0.
-1, 0, 1/4
Let z(h) = -2*h. Suppose 3*d + i = -7, -2*d = d - 2*i - 5. Let o be z(d). Factor 7*w**2 - 3*w**o + 2*w**3 - 2*w**4 + 0*w**3.
-2*w**2*(w - 2)*(w + 1)
Let h = -958 + 963. Let r(k) be the second derivative of -2/3*k**3 + 0*k**4 - 7*k + 0 + 1/20*k**h + 0*k**2. Factor r(g).
g*(g - 2)*(g + 2)
Let n = -25 - -38. Let j be n/26 + (2 - (-3)/(-6)). What is v in -1/2*v**j + 0 + 1/2*v = 0?
0, 1
Let a(x) = 3*x - 10. Let k be a(3). Let b = 9 + k. Determine n, given that -3*n - 6*n**3 + 0*n + n**3 - 3 + b*n**3 + 3*n**2 = 0.
-1, 1
Let d(v) = -11*v**4 + 60*v**3 - 138*v**2 + 89*v - 17. Let x(i) = 4*i**4 - 20*i**3 + 46*i**2 - 30*i + 6. Let s(z) = -6*d(z) - 17*x(z). Factor s(t).
-2*t*(t - 1)**2*(t + 12)
Let d(j) = 53*j + 1. Let k(q) = 27*q. Let l(w) = 3*d(w) - 5*k(w). Let b(t) = t**2 - t - 1. Let r(u) = 9*b(u) + l(u). Let r(i) = 0. What is i?
-2, 1/3
Let m(w) be the first derivative of -w**5/5 - w**4/3 + 18*w - 47. Let o(k) be the first derivative of m(k). Suppose o(h) = 0. Calculate h.
-1, 0
Let a(n) be the second derivative of 0 - 39*n - 1/6*n**2 + 1/18*n**3 - 1/90*n**6 + 1/18*n**4 + 1/126*n**7 - 1/30*n**5. Factor a(d).
(d - 1)**3*(d + 1)**2/3
Find h such that 1/3*h**4 + 96*h**2 - 289/3 + 34/3*h**3 - 34/3*h = 0.
-17, -1, 1
Let h(t) be the third derivative of -t**6/72 - 3*t**5/20 + t**4/3 + 2*t**3 - 32*t**2. Let f(p) be the first derivative of h(p). Factor f(d).
-(d + 4)*(5*d - 2)
Suppose 45/4 - 3/8*z**3 - 3*z**2 + 69/8*z = 0. What is z?
-10, -1, 3
Let x = -155/2 - -69. Let t = x + 13. Factor 0 + 3/2*u**2 - t*u.
3*u*(u - 3)/2
Factor 0 + 104/5*z + 12*z**2 + 4/5*z**3.
4*z*(z + 2)*(z + 13)/5
Let d be 24/132 - 128/(-22). Determine f, given that 5*f + 9*f**2 - 11*f - d*f**2 = 0.
0, 2
Let i be (30/14)/((-3)/(-21)). Suppose a = 5*a - 5*f - i, -2 = -2*f. Find y such that -128/7*y**2 - 32/7*y - 50/7*y**a + 0 - 48/7*y**3 + 160/7*y**4 = 0.
-2/5, 0, 2
Let c(x) be the first derivative of -1/18*x**6 - 1/4*x**4 + 1/5*x**5 + 1/9*x**3 + 0*x**2 + 0*x + 12. Let c(v) = 0. Calculate v.
0, 1
Factor -v - 13154*v**5 + 36*v**4 + v - 60*v**3 - 100*v**2 + 13150*v**5.
-4*v**2*(v - 5)**2*(v + 1)
Let c(p) be the first derivative of -p**6/30 + p**5/5 - p**4/3 + 10*p + 29. Let m(y) be the first derivative of c(y). Factor m(z).
-z**2*(z - 2)**2
Let k(j) be the third derivative of -j**4/8 + j**3 - 2*j**2. Let a be k(2). Factor -1/3*p**2 + 1/3*p + a.
-p*(p - 1)/3
Let t(j) = -j**4 - 19*j**3 + 76*j**2 - 56*j. Let u(g) = -20*g**3 + 75*g**2 - 55*g. Let p(h) = -5*t(h) + 4*u(h). Determine l, given that p(l) = 0.
-6, 0, 1, 2
Let o(q) = 48*q**2 - 159*q - 2061. Let f(n) = 3*n**2 - 10*n - 129. Let z(b) = -33*f(b) + 2*o(b). Solve z(p) = 0 for p.
-5, 9
Factor -9/2 - 21/2*b**2 + 21*b - 6*b**3.
-3*(b - 1)*(b + 3)*(4*b - 1)/2
F