 - 10*g**3 = 0 for g.
-2, 1
Let y be (-3)/(-2) - ((-3)/2)/3. Factor 2*l**2 + 8*l + 7*l**2 - 8*l**y + 12.
(l + 2)*(l + 6)
Let q(s) be the second derivative of 1 - 20/3*s**3 - 5/2*s**4 + 0*s**2 + 40*s - 1/4*s**5. Solve q(m) = 0 for m.
-4, -2, 0
Let u(x) be the second derivative of -x**8/840 - x**7/70 - x**6/15 - x**5/6 - x**4/4 + 11*x**3/3 + 4*x. Let z(c) be the second derivative of u(c). Factor z(f).
-2*(f + 1)**3*(f + 3)
Factor 4*a**2 + 129564 + 3*a**2 + 1950*a + 60561 - 2*a**2.
5*(a + 195)**2
Let g(o) be the third derivative of o**5/60 + o**4 + 23*o**3/6 - 3*o**2 - 17. What is d in g(d) = 0?
-23, -1
Let w(i) be the second derivative of -i**6/150 - 2*i**5/25 - 3*i**4/20 + 3*i**3/5 - 6*i - 6. Factor w(b).
-b*(b - 1)*(b + 3)*(b + 6)/5
Let h be 3 + 2691/(-270) - -7. Let t(q) be the third derivative of 1/6*q**4 + 0 + q**2 + h*q**6 + 0*q - 2/15*q**5 + 0*q**3. Suppose t(g) = 0. What is g?
0, 1
Let d(t) be the first derivative of -2*t**6/15 - t**5/5 + 4*t**4/3 + 8*t**3/3 - 15*t + 2. Let g(v) be the first derivative of d(v). Let g(c) = 0. Calculate c.
-2, -1, 0, 2
Let x(q) = -q - 1. Let p(t) = -4*t**2 - 14*t - 6. Suppose 0 = -3*h - 2*d + 24, 5*h - 3 - 21 = 2*d. Let n(j) = h*x(j) - p(j). Factor n(u).
4*u*(u + 2)
Let r be -1*85/35 - 3/(-7). Let v be (-12)/9*(r + -1). Let 1/3*n**v + 0*n + 2/3*n**2 - n**3 + 0 = 0. What is n?
0, 1, 2
Let m be (-1 + -2)/(8/40). Let z(d) = -7*d**4 + 10*d**3 - d**2 - 5*d - 2. Let y(c) = -c**5 + c**4 + c**2. Let f(p) = m*y(p) - 3*z(p). What is r in f(r) = 0?
-1, -2/5, 1
Let y = 27 - 23. Suppose -3*s = 2*g - 12, -6 - 10 = -y*s + 5*g. What is k in s - 6*k**2 + 3*k**4 - k**5 + 3*k**3 - 2*k**3 - k**2 = 0?
-1, 1, 2
Suppose -30 = 5*t + 5*z, -8*z = -3*t - 4*z - 11. Let u be 3 + 5 + 30/t. Let 1/7*m**u - 2/7 + 1/7*m = 0. Calculate m.
-2, 1
Let n(h) be the third derivative of h**8/112 - 3*h**7/70 - h**6/4 - h**5/10 + 9*h**4/8 + 5*h**3/2 + 166*h**2. Factor n(x).
3*(x - 5)*(x - 1)*(x + 1)**3
Let y = 12 - 0. Let t be (-8)/y*57/(-2). Factor -t + 27 + 12*s + 6*s**2 + 0*s + s**3.
(s + 2)**3
Suppose 2*u - 6*u = 5*c + 709, -2*c + 4*u - 306 = 0. Let v be (-14)/77 - c/11. Factor 45*y**5 + 15*y**4 + v*y**5 - 18*y**5 - 9*y**4 - 4*y**3.
2*y**3*(4*y - 1)*(5*y + 2)
Let i(q) be the second derivative of q**4/60 - q**3/6 + 3*q**2/5 - 188*q. Suppose i(y) = 0. Calculate y.
2, 3
Let m(w) be the first derivative of w**6/6 - w**5/5 - 5*w**4/4 + 5*w**3/3 + 2*w**2 - 4*w + 79. Suppose m(c) = 0. Calculate c.
-2, -1, 1, 2
What is w in 6 - 22 - 22*w + 30*w + 44*w + 14*w**2 = 0?
-4, 2/7
Let f(w) be the third derivative of 0*w - 1/160*w**5 - w**2 + 1/8*w**3 - 1/64*w**4 + 0. Factor f(z).
-3*(z - 1)*(z + 2)/8
Determine w, given that 1/10*w**2 + 129/10*w + 0 = 0.
-129, 0
Factor 62/5*m**2 + 66/5 + 26*m - 2/5*m**3.
-2*(m - 33)*(m + 1)**2/5
Let h(z) be the first derivative of z**4 + 14/9*z**3 + 0*z + 3 + 0*z**2 - 2/15*z**5. Find s, given that h(s) = 0.
-1, 0, 7
Let h(b) be the third derivative of 0*b + 0 + 1/4*b**3 - 5/64*b**4 + 19*b**2 + 1/160*b**5. Factor h(n).
3*(n - 4)*(n - 1)/8
Let a(q) be the first derivative of 3*q + 4/5*q**5 + 5/4*q**4 + 7/2*q**2 - 4 - 19/3*q**3. Factor a(w).
(w - 1)**2*(w + 3)*(4*w + 1)
Let m be 2384/48 + 1/3. Suppose -10*o**4 - 4*o**5 - 96*o**3 - 128*o**2 + 60*o - m*o - 74*o - 22*o**4 = 0. Calculate o.
-2, 0
Let x(y) be the first derivative of -15 + 1/42*y**6 + 0*y - 1/7*y**2 + 1/28*y**4 - 1/7*y**3 + 3/35*y**5. Factor x(z).
z*(z - 1)*(z + 1)**2*(z + 2)/7
Let o(n) be the third derivative of n**8/2240 - n**6/240 + 7*n**4/24 - 8*n**2. Let r(y) be the second derivative of o(y). Factor r(g).
3*g*(g - 1)*(g + 1)
Determine j so that 0 + 4/3*j - 1/3*j**2 = 0.
0, 4
Let d(o) be the first derivative of o**6/90 - o**5/45 + 3*o**2/2 + 9. Let l(b) be the second derivative of d(b). Let l(g) = 0. Calculate g.
0, 1
Let 2*d**2 - 417*d - 233*d - 9632 - 7*d**2 - 6970 - 4523 = 0. Calculate d.
-65
Let o(t) be the first derivative of 0*t + 2/5*t**3 - 3/10*t**4 - 1/5*t**2 - 19 + 2/25*t**5. Factor o(b).
2*b*(b - 1)**3/5
Suppose n + 23 = 4*k, k = -0*k - 3*n - 4. Let -20*f**4 + 4*f - 43*f**3 - 3*f**k - 20*f**2 - 2*f**5 - 9*f + 13*f**3 = 0. Calculate f.
-1, 0
Let q(l) = -l**2 + l. Let p be q(2). Let n = p - -5. Let k(z) = -1. Let v(s) = -4*s**2 - 12*s - 11. Let c(y) = n*k(y) - v(y). Let c(x) = 0. What is x?
-2, -1
Let v(j) be the second derivative of 289*j**4/9 - 68*j**3/3 + 6*j**2 - 3*j + 1. Find a, given that v(a) = 0.
3/17
Let q(h) be the third derivative of -h**4/24 + 4*h**3/3 - 2*h**2. Let w be q(6). Factor 2*b**2 + 5*b - 2 - w*b**3 - 7*b + 4*b.
-2*(b - 1)**2*(b + 1)
Let d(o) be the third derivative of -o**7/630 - o**6/45 - 7*o**5/180 - 5*o**2 + 2*o. Factor d(g).
-g**2*(g + 1)*(g + 7)/3
Let y(a) = -a**2 + 108*a - 8. Let q(l) = -36*l + 3. Let n(s) = 8*q(s) + 3*y(s). Determine c so that n(c) = 0.
0, 12
Factor -28*t**3 + 288*t**2 + 29*t**3 - 572*t**2 + 282*t**2.
t**2*(t - 2)
Let a(u) = u**2 - u - 3. Let j be a(4). Suppose 0 = 6*f - 3*f - j. Factor 4*t**f - 8 + 0*t - 16*t**2 + 15*t + 8*t - 3*t.
4*(t - 2)*(t - 1)**2
Let s be 166/54 - 68/918. Let o(u) be the first derivative of 8/65*u**5 + 0*u**2 + 0*u - 8 - 4/39*u**s + 1/13*u**6 - 5/26*u**4. Find z such that o(z) = 0.
-2, -1/3, 0, 1
Suppose 0*d - 3*d - 3*s + 3 = 0, 0 = -s + 3. Let w be d*-1*(-1)/(-1). Factor -5*n**3 + 6*n - n**3 + n**2 - 3*n**w + 0 + 2.
-2*(n - 1)*(n + 1)*(3*n + 1)
Let u = 11755207/3717 + -28466/9. Let x = -3/59 - u. Factor -x*z + 6/7*z**2 - 4/7.
2*(z - 1)*(3*z + 2)/7
Let t be (8 + (-279)/36)*1. Factor 0*d + 0 - t*d**2.
-d**2/4
Let d(o) be the first derivative of 1/8*o**4 + 0*o - 10 + 1/6*o**3 + 0*o**2. Solve d(u) = 0 for u.
-1, 0
Suppose 8 = -4*b, -12 = -2*u - 15*b + 16*b. Let t(o) be the second derivative of 0*o**2 - 1/90*o**6 - 1/36*o**4 + 0 + 6*o + 0*o**3 - 1/30*o**u. Factor t(g).
-g**2*(g + 1)**2/3
Let g(s) be the second derivative of -s**4/60 - 14*s**3/15 + 6*s**2 - 87*s. Let g(k) = 0. What is k?
-30, 2
What is s in -2/7*s**4 + 0*s**2 - 2/7*s**3 + 0 + 0*s = 0?
-1, 0
Find f such that 20/3*f**2 + 0 - 28/9*f**3 - 4*f + 4/9*f**4 = 0.
0, 1, 3
Let u(f) be the first derivative of -2*f**5/5 - 7*f**4/4 - f**3 + 4*f**2 + 4*f + 96. Factor u(y).
-(y - 1)*(y + 2)**2*(2*y + 1)
Let m = -4/11 - -35/66. Let d(i) be the third derivative of 0 + m*i**4 - 1/30*i**5 + 0*i - 3*i**2 - 1/3*i**3. Factor d(r).
-2*(r - 1)**2
Suppose -30*u**2 + 10*u**4 + 55*u**3 - 80 + 989*u - 769*u - 170*u**2 - 5*u**5 = 0. What is u?
-4, 1, 2
Suppose 4*m = -0*m. Let n be 7 + 9/(-6)*592/222. Let 0 + 5*x**n + m*x**2 + 0*x + 5/2*x**4 = 0. What is x?
-2, 0
Factor 0 - 3/7*q**4 + 0*q**3 + 0*q + 27/7*q**2.
-3*q**2*(q - 3)*(q + 3)/7
Determine i, given that 240/7*i - 24/7*i**3 - 4/7*i**4 + 44/7*i**2 - 400/7 = 0.
-5, 2
Factor 5*g**2 + 42 + 38 - 159*g + 74*g.
5*(g - 16)*(g - 1)
Let l(x) be the second derivative of x**6/135 + 3*x**5/10 + 5*x**4/2 - 25*x**3 + 86*x - 2. Suppose l(i) = 0. What is i?
-15, 0, 3
Suppose 2*x + 2*m + 6 = 0, -12*x + 2*m = -8*x. Let g(q) = 3*q + 6. Let k be g(x). Let 32/3*n - 4/3 - 77/3*n**2 + 49/3*n**k = 0. What is n?
2/7, 1
Let k(c) be the third derivative of -22*c**2 - 1/36*c**5 + 1/630*c**7 + 0 + 1/24*c**4 + 0*c + 1/360*c**6 + 0*c**3. Factor k(o).
o*(o - 1)**2*(o + 3)/3
Let k(m) be the second derivative of -m**7/10080 + m**6/288 - 5*m**5/96 - 13*m**4/12 + 14*m. Let s(g) be the third derivative of k(g). Factor s(h).
-(h - 5)**2/4
Let t be (35/15 + -4)*(-5)/125. Let m(y) be the third derivative of -4*y**2 + 0 + t*y**5 + 1/6*y**4 + 0*y**3 + 0*y. Factor m(h).
4*h*(h + 1)
Let m(c) = 2*c. Let j be m(3). What is o in -12*o**2 - 12 - 16*o**3 + j - 4*o**4 + 6 = 0?
-3, -1, 0
Let y(u) be the first derivative of u**4/18 + 10*u**3/27 - 2*u**2/3 - 96. Find j such that y(j) = 0.
-6, 0, 1
Let h = 18 + -14. Let o(g) be the third derivative of 1/42*g**7 + g**2 + 0*g**3 + 0*g**h + 0 + 0*g - 1/30*g**5 - 1/40*g**6. Solve o(u) = 0.
-2/5, 0, 1
Let k(s) = s**2 - s + 1. Let u(r) = -8*r**2 + 28*r + 4. Let t(l) = -12*k(l) - u(l). Factor t(h).
-4*(h + 2)**2
Let b be 14/(-21) + 4/6. Let l(v) = -v**3 - 3 + b + 3 - 1 - v**4. Let t(j) = -17*j**4 - 13*j**3 - 11. Let r(z) = -22*l(z) + 2*t(z). Find x, given that r(x) = 0.
-1/3, 0
Let 4/7*z**2 - 4*z + 0 = 0. Calculate z.
0, 7
Let x(z) be the first derivative of -8/39*z**3 - 3/26*z**4 + 1 + 4/13*z + 1/13*z**2. 