
Suppose 0*s + 4*s - v = 3, -4*v = 2*s - 24. Let k(y) = -y**3 - 7*y**2 + 2. Let w be k(-7). Determine l so that -2*l**2 + 2*l**w + 0*l**s + 2*l**2 - 2 = 0.
-1, 1
Let q be -1 - (-19 + (-2)/(-1)). Let b = -10 + q. Suppose -x**2 + b*x + 3*x**2 - 1 + 5 = 0. What is x?
-2, -1
Factor 71*l**2 + 9*l - 38*l**2 + 8 - 40*l**2 - l**4 - 9*l**3.
-(l - 1)*(l + 1)**2*(l + 8)
Let s(u) be the third derivative of u**8/1176 - u**7/735 - u**6/420 + u**5/210 + 6*u**2. Find l, given that s(l) = 0.
-1, 0, 1
Let q = -2 + 4. Factor -3*b**3 - 3*b**5 + 12*b**3 + 0*b**3 + 6*b**q.
-3*b**2*(b - 2)*(b + 1)**2
Factor 12*u**4 + 4*u**3 + 4*u**5 + 3*u + 54*u**2 - 66*u**2 - 3*u - 8*u.
4*u*(u - 1)*(u + 1)**2*(u + 2)
Let i(c) be the second derivative of c**4/24 + c**3/12 - c**2/2 - 8*c. Let i(n) = 0. Calculate n.
-2, 1
Let l(j) be the first derivative of 3*j**5/5 - 2*j**3 + 3*j - 20. Suppose l(n) = 0. Calculate n.
-1, 1
Suppose 0*j + j = 2. Find o, given that o + 10*o**2 - 12*o**j + 4 + o = 0.
-1, 2
Let l(r) = 6*r**2 - 27*r - 15. Let d be l(5). Factor -4/7*s**3 + d*s + 0 + 4/7*s**2 - 4/7*s**4 + 4/7*s**5.
4*s**2*(s - 1)**2*(s + 1)/7
Suppose -6 = -5*j - 3*h + 5*h, -2*j + 12 = -4*h. Determine s so that s**2 + 0*s**2 + j*s**2 + s**2 + 4*s = 0.
-2, 0
Suppose -3*j - 14 = -4*g, 3*g + 5*j = -2*g. Let y be 0*g/(-4) + 4. Solve -2*p**3 - 2/3*p**y + 0 - 2*p**2 - 2/3*p = 0.
-1, 0
Suppose -9/2 + 3*w**2 + 3/2*w**4 - 6*w + 6*w**3 = 0. What is w?
-3, -1, 1
Let v(o) be the second derivative of -o**9/37800 - o**8/8400 + o**7/6300 + o**6/900 + o**4/6 - 3*o. Let q(s) be the third derivative of v(s). Factor q(j).
-2*j*(j - 1)*(j + 1)*(j + 2)/5
Let x(u) be the first derivative of -u**4/34 + 4*u**3/17 - 12*u**2/17 + 16*u/17 + 3. Factor x(w).
-2*(w - 2)**3/17
Let z(s) = s**3 - s**2. Let x(v) = v**5 - v**4 - 8*v**3 + 8*v**2 + v - 1. Let j(t) = t + 11. Let p be j(-12). Let b(r) = p*x(r) - 6*z(r). Factor b(f).
-(f - 1)**3*(f + 1)**2
Let y(x) be the first derivative of -1/60*x**5 + 0*x + 0*x**2 + 1/720*x**6 + 1/12*x**4 + 2/3*x**3 + 2. Let o(s) be the third derivative of y(s). Factor o(z).
(z - 2)**2/2
Let l(v) = -v + 1. Let n(q) = q**2 + 6*q - 1. Let s be n(-6). Let c be l(s). Factor 1/2*i - 1/2*i**4 + 0 - 1/2*i**3 + 1/2*i**c.
-i*(i - 1)*(i + 1)**2/2
Let q = 34/67 + -1/134. Suppose -1/4*c**3 + 3/4*c**2 - 1/4*c**4 + q + 5/4*c = 0. What is c?
-1, 2
Let h(a) be the third derivative of a**5/80 + 3*a**4/8 + 9*a**3/2 - 2*a**2. Let h(q) = 0. What is q?
-6
Let z(a) be the second derivative of 0 + 1/10*a**6 + 1/4*a**4 + 6*a + 0*a**3 + 0*a**2 + 3/10*a**5. Factor z(g).
3*g**2*(g + 1)**2
Let b(a) be the third derivative of a**6/288 - a**5/240 - a**4/144 + 14*a**2. Suppose b(i) = 0. Calculate i.
-2/5, 0, 1
Let z(u) = u**2 + u - 1. Let p(y) = 4*y**3 - 8*y**2 - 20*y. Let c(w) = p(w) + 8*z(w). Factor c(t).
4*(t - 2)*(t + 1)**2
Let v(q) = -q**2 - q + 1. Let i(z) be the third derivative of -z**5/20 - 5*z**4/24 - 4*z**2. Let b(o) = -i(o) + 2*v(o). Determine h, given that b(h) = 0.
-2, -1
Let a(s) be the first derivative of -8*s**2 + 0*s + 83*s**4 - 294*s**6 - 168/5*s**5 + 3 + 16/3*s**3. What is c in a(c) = 0?
-1/3, 0, 2/7
Factor 3*m**4 - m**4 - 3*m**4 + 5*m**4 - 4*m**2.
4*m**2*(m - 1)*(m + 1)
Let l(d) be the first derivative of d**4/18 - 2*d**3/27 + 2. Determine j, given that l(j) = 0.
0, 1
Suppose -3*f + 10 = -5. Factor w**4 + 2*w**4 + 5*w - f*w.
3*w**4
Let z(t) be the second derivative of 4*t**2 + 1/5*t**5 + 0*t**4 - 8*t + 0 - 2*t**3. Determine i, given that z(i) = 0.
-2, 1
Let r(f) be the second derivative of f**5/50 - f**4/10 + 2*f**3/15 - 13*f. Factor r(v).
2*v*(v - 2)*(v - 1)/5
Solve -14/5*q**3 - 12/5*q**2 + 0 - 2/5*q**4 + 0*q = 0.
-6, -1, 0
Let z(a) = -5*a - 1. Let d be z(-1). Let l(f) be the second derivative of -1/36*f**d + 1/60*f**5 + 0*f**2 - f + 0*f**3 + 0. Find h, given that l(h) = 0.
0, 1
Let t(f) be the first derivative of -15/2*f**2 - 6*f + 3/4*f**4 + 3/5*f**5 - 3*f**3 + 3. Solve t(z) = 0 for z.
-1, 2
Let f(j) be the second derivative of j**5/50 + j**4/30 - 2*j**3/15 + 6*j. Determine m, given that f(m) = 0.
-2, 0, 1
Let f(w) be the first derivative of w**3/18 + 5*w**2/6 + 25*w/6 - 15. Factor f(o).
(o + 5)**2/6
Solve 9 - 24*c + 3*c**2 - 15 + 54 = 0.
4
What is y in 5*y**4 - 8*y**4 - 5*y**2 + 6*y**4 + 3*y**3 - y**2 = 0?
-2, 0, 1
Let j(b) be the second derivative of 0*b**4 + 0 + 1/6*b**3 - 1/3*b**2 - 1/60*b**5 - 2*b. Let j(a) = 0. Calculate a.
-2, 1
Let g(u) = -u + 3. Let m(x) = -3*x + 8. Let t(h) = 8*g(h) - 3*m(h). Let q(p) = -p**2 + 3*p. Let w(k) = q(k) - 4*t(k). Suppose w(z) = 0. Calculate z.
-1, 0
Let x = 985/2937 + -2/979. Factor -1/6*a + 1/6 - x*a**2.
-(a + 1)*(2*a - 1)/6
Suppose 3*k - 4*a = -k - 8, -5*a = -25. Suppose 6*i - k*i**3 + 4*i**2 + 2 - 5 - i**2 - 3*i = 0. Calculate i.
-1, 1
Let -400 - 2/5*m**3 - 12*m**2 - 120*m = 0. Calculate m.
-10
Let j(f) = -f**2 + f - 1. Let u(m) = m**2 + 4*m - 9. Let s(o) = 4*j(o) - u(o). Let s(p) = 0. What is p?
-1, 1
Let l(h) = h**3 - 12*h**2 + 10*h - 19. Let q be l(11). Let z = q + 30. Let 0 + 0*x - 2/9*x**3 + 2/9*x**4 + z*x**2 = 0. Calculate x.
0, 1
Let i(c) be the third derivative of 4*c**2 - 1/300*c**6 + 0*c**4 + 0*c + 0*c**3 + 0 - 1/150*c**5. Solve i(u) = 0 for u.
-1, 0
Let x(c) be the second derivative of -c**7/4620 + c**6/396 - 7*c**5/660 + c**4/44 - 7*c**3/6 - 7*c. Let n(w) be the second derivative of x(w). Factor n(a).
-2*(a - 3)*(a - 1)**2/11
Suppose -51/8*m**3 - 6*m**2 + 0 - 3/2*m - 15/8*m**4 = 0. What is m?
-2, -1, -2/5, 0
Factor 0*l + 0 - 5/6*l**2.
-5*l**2/6
Let r be 160/(-120)*(-9)/20. Determine p, given that -4/5 - 1/5*p**4 + 4/5*p + r*p**2 - 2/5*p**3 = 0.
-2, 1
Let x = 9340 + -373569/40. Let g(r) be the second derivative of 0 - r**4 - 17/24*r**3 - 1/4*r**2 - x*r**5 - 19/60*r**6 - 3*r - 3/56*r**7. Factor g(j).
-(j + 1)**4*(9*j + 2)/4
Let k be (-5)/(-12) + 2/8. Let h be 0 + 4/(-8)*-4. Factor k*o**h + 1/3 - o.
(o - 1)*(2*o - 1)/3
Let g(o) be the first derivative of -o**6/24 - o**5/10 - o**4/16 + 8. Find k such that g(k) = 0.
-1, 0
Suppose -r + 3*n - 4 = r, -5*r = -5*n. Factor 0 + 3/4*w**3 + 1/2*w + w**r - 9/4*w**2.
w*(w - 1)*(w + 2)*(4*w - 1)/4
Let z be 4/(-22) - (-4)/22. Factor 7/2*x**5 + z + 0*x + 11/2*x**3 + x**2 + 8*x**4.
x**2*(x + 1)**2*(7*x + 2)/2
Let t(h) be the third derivative of h**8/3024 + h**7/945 + h**6/1080 + 50*h**2. Factor t(d).
d**3*(d + 1)**2/9
Let s(b) = -14*b**3 - 4*b**2 - 8*b - 6. Let z(g) = -g**3 + g**2 - g - 1. Let h(d) = -s(d) + 6*z(d). Solve h(x) = 0 for x.
-1, -1/4, 0
Let f(z) = 3*z**2 + 3*z - 2. Let n be f(1). Factor -6*i**n - 4*i**2 + 55*i - 55*i + 14*i**3.
-2*i**2*(i - 2)*(3*i - 1)
Let w = 4 - 2. Suppose -3*i = -4*i + w. What is t in -2*t**4 - 2*t**2 + t**2 - 2*t**3 + 2*t + 3*t**i = 0?
-1, 0, 1
Let x(p) be the third derivative of p**5/240 - p**4/32 + p**3/12 + 2*p**2 - 2*p. Factor x(t).
(t - 2)*(t - 1)/4
Let k(q) be the third derivative of -1/6*q**4 + 0*q**3 + 1/40*q**6 + 1/15*q**5 - 4*q**2 + 0 + 0*q. Suppose k(t) = 0. Calculate t.
-2, 0, 2/3
Let z(i) be the first derivative of 3*i**4/20 + i**3/5 - 3*i**2/2 + 9*i/5 + 9. Factor z(p).
3*(p - 1)**2*(p + 3)/5
Let w(d) = d**3 - 1. Let t(q) be the first derivative of -3*q**4/4 + q**3 + 9*q**2/2 + q + 6. Let y(u) = t(u) - w(u). Determine j, given that y(j) = 0.
-1, -1/4, 2
Let f(j) be the third derivative of -1/20*j**5 - 1/40*j**6 + 0 + 0*j + 0*j**4 - 3*j**2 + 0*j**3. Let f(b) = 0. Calculate b.
-1, 0
Let r = 1 + -1. Let i(m) be the third derivative of 1/480*m**6 - 1/12*m**3 + r*m**5 + 0 - 1/32*m**4 + 2*m**2 + 0*m. Factor i(d).
(d - 2)*(d + 1)**2/4
Let x(r) = 7*r**2 - 10*r + 9. Let z(j) = -j**2 + j - 1. Let i = -15 - -16. Let v(b) = i*x(b) + 6*z(b). Factor v(f).
(f - 3)*(f - 1)
Suppose -3*b - b + a + 6 = 0, -2*b - 2 = -3*a. Find h such that 0 + 0*h**b + 0*h - 4/9*h**3 - 10/9*h**5 + 14/9*h**4 = 0.
0, 2/5, 1
Let p(u) be the third derivative of 1/2016*u**8 + 0*u**3 + 0*u**4 + 0 + 0*u - u**2 - 1/360*u**5 - 1/420*u**7 + 1/240*u**6. Find y, given that p(y) = 0.
0, 1
Let g(y) be the first derivative of -y**2/2 + 7*y - 4. Let z be g(4). Determine w, given that -1/3*w**4 + w**2 + 1/3*w**z + 2/3 - 5/3*w = 0.
-2, 1
Let j be (-6)/3 + (-17)/(-5). Let a = -6/5 + j. Factor a*c**5 + 1/5*c**4 + 0*c - 1/5*c**3 - 1/5*c**2 + 0.
c**2*(c - 1)*(c + 1)**2/5
Let f(v) = v**2 - 5*v. Let p(b) = b**2 + 3*b + 1. Let n