0/3*v + 0 = 0.
0, 5
Let i be ((-4)/(-2))/(((-8)/6)/(-2)). Factor 9*w**2 + 4*w + i*w - 10*w**2 - 3*w - 3.
-(w - 3)*(w - 1)
Let r be 1*(-10)/3*3. Let a be r/(-8)*(-144)/(-120). Factor 0*p**3 + 3/2*p**4 + 0 + 0*p - a*p**2.
3*p**2*(p - 1)*(p + 1)/2
Factor -189*k - 180*k - 33*k**2 + 466*k + 5*k**3 - 27*k**2 - 162*k.
5*k*(k - 13)*(k + 1)
Let w(c) be the second derivative of 0*c**6 + 1/189*c**7 + 9*c + 0 + 0*c**3 + 0*c**2 + 0*c**5 + 0*c**4. Factor w(y).
2*y**5/9
Let a(j) = 6*j - 48. Let d be a(8). Factor -15*l**3 - 20*l**2 - 4*l + d*l + 10*l**3 + 9*l + 20.
-5*(l - 1)*(l + 1)*(l + 4)
Let v(h) be the second derivative of -9*h**7/14 + 57*h**6/10 - 3*h**5/2 - 13*h**4 + 12*h**3 + 57*h. Determine a so that v(a) = 0.
-1, 0, 2/3, 6
Let d(s) = s**2 + 30*s - 33. Let f(j) = 9*j**2 + 300*j - 330. Let u(t) = 21*d(t) - 2*f(t). Solve u(a) = 0 for a.
-11, 1
Suppose 0 = 2*g + 6*l - 2*l - 92, l = g - 43. Let w = g + -44. Find t such that 0*t + 5/4*t**5 - 7/4*t**4 + 1/2*t**3 + w + 0*t**2 = 0.
0, 2/5, 1
Let i(u) = u - 4. Let d be i(8). Let t(a) = 6*a**2 + 6*a. Let z(s) = 7*s**2 + 6*s - 1. Let r(w) = d*z(w) - 5*t(w). Factor r(y).
-2*(y + 1)*(y + 2)
Let p(z) be the second derivative of 0*z**3 - 5*z + 1/147*z**7 - 2/105*z**6 + 0 + 0*z**2 - 1/70*z**5 + 1/21*z**4. Determine r so that p(r) = 0.
-1, 0, 1, 2
Let q = 14 - 8. Determine i, given that 5*i + 2*i**2 + q + 4*i - i = 0.
-3, -1
Let a(p) = -p**2 + 2*p + 4. Let b be a(-3). Let m(r) = -r - 9. Let c be m(b). Factor c - o + 2*o**3 + 2 - 4*o**2 + 0*o**2 - o.
2*(o - 2)*(o - 1)*(o + 1)
Let r(c) be the first derivative of 0*c + 0*c**2 - 3*c**3 + 3/2*c**4 - 1/5*c**5 + 1. Factor r(v).
-v**2*(v - 3)**2
Let y be (8 + -1)*-1 + 21/3. Let j(b) be the third derivative of 1/2*b**4 + 0*b + y - 1/20*b**5 - 1/40*b**6 + 2*b**3 + 11*b**2. Factor j(i).
-3*(i - 2)*(i + 1)*(i + 2)
Solve 8*a + 141*a**2 + 19*a**3 + 4*a**4 + 130*a**2 - 4 - 244*a**2 = 0.
-2, -1, 1/4
Suppose -350*n + 16 = -342*n. Let f(h) be the third derivative of -10*h**n + 0*h**4 + 0*h + 0 + 1/90*h**5 - 4/9*h**3. Let f(p) = 0. Calculate p.
-2, 2
Suppose 4*l = r + 31, 0*l + 2*l + 3*r - 19 = 0. Suppose 0 = -3*g - 4 + 16, -4*g + l = -4*j. What is a in -8/3 + 8/3*a - 2/3*a**j = 0?
2
Let u(a) be the first derivative of -1/18*a**3 - 10 - 9*a + 1/36*a**4 + 0*a**2. Let z(w) be the first derivative of u(w). Factor z(d).
d*(d - 1)/3
Suppose -3*o + 5*t = -85, -o + 5*t = -4*o + 95. Let z be 2/5*o/3. Let 4*x**3 - x - x**4 + x**4 - x - x**2 + 3*x**z = 0. What is x?
-1, 0, 2/3
Let n(g) be the third derivative of g**5/20 + g**4/12 - g**3/6 + 3*g**2. Let v be n(2). Factor -5*p**2 - 13 + 5*p**2 - 5*p**2 + v*p + 3.
-5*(p - 2)*(p - 1)
Let o(s) = 14*s**3 + 12*s**2 - 7*s. Let c(g) = 5*g**3 + 4*g**2 - 2*g. Let r(q) = -7*c(q) + 2*o(q). Factor r(y).
-y**2*(7*y + 4)
Let z = 9 - 7. Determine i, given that 3*i + i**z - 4 + i - i = 0.
-4, 1
Let m be (0 - 1 - 6)/(4/(-8)). Factor -10*w**3 + 20*w**2 + 7*w - 7*w**4 + 2*w**4 - m*w + 47*w.
-5*w*(w - 2)*(w + 2)**2
Let v(k) = 5*k**3 + 17*k**2 + 31*k + 7. Let y(t) = 11*t**3 + 35*t**2 + 67*t + 13. Let n(g) = 5*v(g) - 2*y(g). Solve n(m) = 0 for m.
-3, -1
Let k = 1 - -1. Suppose 3*f = 2*v - 28, k*v - 5*f - 63 + 27 = 0. Factor -v*c**2 + 4*c**5 - 3*c + 0*c - c + 8*c**4.
4*c*(c - 1)*(c + 1)**3
Find c such that 30 - 35/2*c + 5/2*c**2 = 0.
3, 4
Let g(k) be the third derivative of 0*k - k**3 + 0*k**5 + 0 + 5*k**2 + 0*k**4 + 1/180*k**6 + 1/420*k**7. Let y(n) be the first derivative of g(n). Factor y(o).
2*o**2*(o + 1)
What is s in -52/3*s + 1/6*s**5 + 11/6*s**4 + 40/3 + 31/6*s**3 - 19/6*s**2 = 0?
-5, -4, 1
Let w = -7/44 - -25/572. Let m = w + 41/130. Determine u so that -m*u**2 - 2/5*u + 0 = 0.
-2, 0
Let s(m) = -32*m**2 - 54*m - 2. Let x(z) = 11*z**2 + 18*z. Let r(y) = -4*s(y) - 11*x(y). Suppose r(u) = 0. Calculate u.
-2, -4/7
Let n(b) be the third derivative of -b**5/45 - b**4 - 18*b**3 - 30*b**2 + b. Factor n(z).
-4*(z + 9)**2/3
Let u be 4/(-10)*(-13)/26. Let p(i) be the second derivative of -i + 2/3*i**3 + 0*i**2 - 2/3*i**4 + 0 + u*i**5. Factor p(j).
4*j*(j - 1)**2
Let b(j) be the first derivative of -j**4/2 - 82*j**3/3 - 79*j**2 - 78*j - 105. Find y, given that b(y) = 0.
-39, -1
Suppose 274 = 3*f + h, f + 15 = 3*h + 93. Determine b, given that 176*b - f*b - 92*b - 2*b**2 = 0.
-3, 0
Let d = -4750 - -4752. Factor 0 + 2/21*u**d + 2/7*u.
2*u*(u + 3)/21
Let j = -4751/24 - -198. Let a(y) be the first derivative of -2 - 1/8*y**4 + j*y**6 + 1/8*y**2 + 0*y**3 + 0*y**5 + 0*y. Solve a(u) = 0 for u.
-1, 0, 1
Solve 0*q**3 - 35*q**2 - 2*q**3 - 6*q**3 + 8 - 14*q + 7*q**3 + 42*q**2 = 0.
1, 2, 4
Factor -3*a - 25/7*a**3 - 48/7*a**2 + 2/7.
-(a + 1)**2*(25*a - 2)/7
Let s(f) = f**3 - f**2 - 5*f + 5. Let o(r) = 3 - 15*r**2 + 33*r**2 - 3*r - 19*r**2. Suppose -3*d - 30 = -6*d. Let l(i) = d*o(i) - 6*s(i). Factor l(y).
-2*y**2*(3*y + 2)
Suppose 0 = -19*f - 44*f + 13*f. Suppose f*k - 8/5*k**3 - 2/5*k**4 + 0 - 8/5*k**2 = 0. Calculate k.
-2, 0
Let z(b) be the third derivative of b**9/7560 - b**7/1260 - 7*b**4/12 + 22*b**2. Let r(j) be the second derivative of z(j). Factor r(t).
2*t**2*(t - 1)*(t + 1)
Let m be 53/(-6)*3/12*78. Let o = -172 - m. Factor o + 1/4*q**4 + 0*q**3 - 1/2*q**2 + 0*q.
(q - 1)**2*(q + 1)**2/4
Let n be 6 + (-1 - -3) + 0. Let o = 32 + -29. Suppose n*b**3 + 7*b**o - 12*b**3 = 0. Calculate b.
0
Let u(w) = w**4 - w**3 + 1. Let f(v) = 12*v**4 + 23*v**3 + 28*v**2 - 162*v + 110. Let x(c) = -4*f(c) + 44*u(c). Determine q, given that x(q) = 0.
-33, -3, 1
Let u(t) be the third derivative of t**6/1020 + 2*t**5/85 + 4*t**4/17 + 64*t**3/51 + 2*t**2 + 563*t. Solve u(l) = 0.
-4
Let u(q) = 5*q**4 + 42*q**3 + 64*q**2 - 45*q - 6. Let m(h) = 9*h**4 + 85*h**3 + 127*h**2 - 89*h - 10. Let k(f) = -3*m(f) + 5*u(f). Factor k(r).
-r*(r + 2)*(r + 21)*(2*r - 1)
Let w = 2851019735/371 + -7684681. Let v = w + 44/53. Suppose v*z**3 - 96/7*z**2 + 36/7*z - 4/7 = 0. What is z?
1/4, 1
Factor -3/5*y**4 + 3/5 + 0*y**2 + 6/5*y**3 - 6/5*y.
-3*(y - 1)**3*(y + 1)/5
Let t(s) be the third derivative of -s**7/1470 + 2*s**6/105 + 17*s**5/420 + 166*s**2 - 2*s. Suppose t(w) = 0. What is w?
-1, 0, 17
Let a = 23008 - 23006. Factor 0 + 8/13*o**3 + 10/13*o**4 + 2/13*o**5 + 0*o**a + 0*o.
2*o**3*(o + 1)*(o + 4)/13
Suppose 16 = -i + 4*g, -i + 2*g - 7 = -1. Let z(h) be the second derivative of -h + 2/3*h**3 + 0 + 0*h**2 - 1/6*h**i. Factor z(c).
-2*c*(c - 2)
Let r(t) be the third derivative of t**9/35280 + 3*t**8/7840 + t**7/1176 - 7*t**4/24 - 5*t**2. Let s(p) be the second derivative of r(p). Factor s(i).
3*i**2*(i + 1)*(i + 5)/7
Let u = 1/181 + 179/362. Factor -5/2*h - 1/2*h**5 + 3/2 - u*h**4 + 3*h**3 - h**2.
-(h - 1)**3*(h + 1)*(h + 3)/2
Let m(w) be the first derivative of -6 - 5/4*w**2 + 1/6*w**3 + 0*w. Factor m(t).
t*(t - 5)/2
Let p(d) = d - 1. Let k(j) be the first derivative of -j**4/2 + 4*j**3/3 - j**2/2 - j - 27. Let m(y) = -2*k(y) - 6*p(y). Factor m(t).
4*(t - 2)*(t - 1)*(t + 1)
Let z(x) be the third derivative of x**8/224 + 13*x**7/70 + 9*x**6/10 + 7*x**5/4 + 23*x**4/16 - 124*x**2 + x. Let z(m) = 0. Calculate m.
-23, -1, 0
Let y be (-10*(-6)/45)/(2/(-3)). Let j(c) = 2*c**3 + 4*c**2 + 2. Let s be j(y). Factor 0 + 1/3*x + 1/3*x**s.
x*(x + 1)/3
Let x(t) be the third derivative of t**5/20 - 5*t**4/4 - 6*t**2 + 20*t. What is q in x(q) = 0?
0, 10
Let d(q) be the first derivative of -2*q**5/25 + q**4/4 + 11*q**3/15 + 2*q**2/5 + 206. Factor d(n).
-n*(n - 4)*(n + 1)*(2*n + 1)/5
Let s be ((-642)/(-9)*15/4)/2. Let j = 140 - s. Factor -5*x**3 + 0 - 5/2*x + 5/4*x**4 + j*x**2.
5*x*(x - 2)*(x - 1)**2/4
Suppose 3*b - 18 + 15 = 0. Solve 9*t**2 - 4 + 3 - 3*t**4 + b + 6*t**3 = 0.
-1, 0, 3
Let t(u) = -2*u**4 - 393*u**3 - 20818*u**2 + 5*u. Let p(m) = -m**4 - 198*m**3 - 10408*m**2 + 2*m. Let x(v) = -15*p(v) + 6*t(v). Find g, given that x(g) = 0.
-102, 0
What is q in 13/4*q**2 + 3*q + 0 + 1/8*q**4 + 9/8*q**3 = 0?
-4, -3, -2, 0
Let d(j) be the second derivative of 0*j**3 - 1/10*j**6 + 0 - 4*j - 3/20*j**5 + 0*j**4 + 0*j**2. Factor d(t).
-3*t**3*(t + 1)
Let b = 48 + -4. Let 4*i**5 + 118*i**3 + 4*i**5 + b*i**4 - 142*i**3 = 0. What is i?
-6, 0, 1/2
Let l = -14 + 13. Let m be (l/1 + -3)/(-2). Find w, given that -2*w + 4*w**2 - 6 - 2*w - m*w**2 + 0 = 0.
-1, 3
Let j = 7 + -5. Let l(t) = t**4 - t**3 - t**2 + 1. Let b(q) = 5*q**5 - 6*q**4 - 26*q**3 + 19*