(f) be the first derivative of u(f). Let z(h) = 0. What is h?
-1
Let x(b) = 11*b**4 - 4*b**3 - 6*b**2 + 6. Let k(z) = z**4 + z**3 - z**2 + 1. Let o(i) = -6*k(i) + x(i). Factor o(r).
5*r**3*(r - 2)
Let s(u) = 2*u**4 - 2*u**3 - 4*u**2 + 4*u - 4. Let r(b) = -3*b**4 + b**3 + 4*b**2 - 5*b + 5. Let v(y) = -4*r(y) - 5*s(y). Solve v(z) = 0.
-2, -1, 0
Let b(l) be the first derivative of 3/2*l**2 + 0*l**3 + 4 - 2*l - 1/4*l**4. Find v such that b(v) = 0.
-2, 1
Let t = -2/75 + 4/25. Factor 2/5*m - 2/15 - 2/5*m**2 + t*m**3.
2*(m - 1)**3/15
Let v = -54239/360 + 452/3. Let t(n) be the third derivative of v*n**6 - 1/180*n**5 - 3*n**2 + 1/18*n**3 + 0 - 1/72*n**4 + 0*n. Determine r so that t(r) = 0.
-1, 1
Factor 4/3*x**3 + 8/3*x + 10/3*x**2 + 2/3.
2*(x + 1)**2*(2*x + 1)/3
Let z(w) be the third derivative of w**8/40320 + w**7/5040 - w**5/15 + 2*w**2. Let n(r) be the third derivative of z(r). Factor n(t).
t*(t + 2)/2
Let p be 2/((-1)/(-3)*2). Let o = 69/4 + -17. Factor c**p + 9/4*c**2 + o + 3/2*c.
(c + 1)**2*(4*c + 1)/4
Let v(t) = 20*t**4 - 44*t**3 + 44*t**2 - 16*t + 4. Let s(u) = -u**5 - 20*u**4 + 45*u**3 - 45*u**2 + 15*u - 4. Let l(z) = -4*s(z) - 5*v(z). Solve l(k) = 0.
1
Suppose 0 = -22*g + 19*g. Let r(n) be the third derivative of g*n**3 + 0*n + 3*n**2 + 0 + 1/135*n**5 + 1/108*n**4 + 1/540*n**6. Let r(t) = 0. What is t?
-1, 0
Let m(j) be the third derivative of -1/18*j**3 + 0*j + 0 - 2*j**2 + 0*j**5 + 1/630*j**7 - 1/180*j**6 + 1/36*j**4. Let m(y) = 0. What is y?
-1, 1
Suppose -8/7 - 2/7*j**3 - 10/7*j**2 - 16/7*j = 0. Calculate j.
-2, -1
Suppose 0*o + 0 + 3/5*o**5 - 3/5*o**3 - 3/5*o**4 + 3/5*o**2 = 0. What is o?
-1, 0, 1
Let h(f) = f**2 + 3*f + 2. Let b be h(-2). Suppose b*g = -4*g + 8. Find q such that -4 + 10*q + 0*q + 11*q**g + 3*q**2 = 0.
-1, 2/7
Factor -2*f**2 + 2 - 4*f + 10*f + 6*f - 20.
-2*(f - 3)**2
Let k = -17 + 19. Factor 0 - 3 - 7*z**k - z**3 + 5 + 10*z**2 + 5*z - z**4.
-(z - 2)*(z + 1)**3
Let j be (-26)/(-24) + (0 - 12/16). Determine o so that -1/3*o**2 - 1/3*o**3 + 0 + j*o**4 + 1/3*o = 0.
-1, 0, 1
Let c(v) = -v**3 - 7*v**2 + 7*v - 2. Let t be c(-8). Suppose 12 - j**2 - 22*j + 5*j**2 + t*j = 0. What is j?
1, 3
Let k be (-6)/(-15) + 3/5. Factor 3 - 3 - k - 2*s**2 + 3.
-2*(s - 1)*(s + 1)
Let a = 13 - 61/5. Factor -2/5*w**2 - 2/5 + a*w.
-2*(w - 1)**2/5
Factor -1/3*k - 1/2 + 1/6*k**2.
(k - 3)*(k + 1)/6
Let c = 5 - 4. Suppose 14 = 5*s + n, 5*n - c = 4*s - 18. Determine a so that -s*a**2 + 1 + a**3 - 4*a**3 + a**3 = 0.
-1, 1/2
Let q = -14 - -15. Let f = q + -1. Let f + 2/5*o - 2/5*o**3 + 2/5*o**2 - 2/5*o**4 = 0. Calculate o.
-1, 0, 1
Let c(y) = -22*y**3 + 10*y**2 - 2. Let o(u) = -45*u**3 + 21*u**2 - 5. Let r(t) = 5*c(t) - 2*o(t). Factor r(i).
-4*i**2*(5*i - 2)
Let k be 15/(-10)*(-5 - -1). Suppose -10 = -5*o - 5*b, b = -o - o + k. Factor 0*a + 1 - o*a + 2*a + a**2.
(a - 1)**2
Let x(z) be the second derivative of z**2 + 1/20*z**5 + 0 + z + 5/6*z**3 + 1/3*z**4. Find j such that x(j) = 0.
-2, -1
Let q(z) = 4*z**5 + 2*z**4 - 2*z**3 - 4*z**2 + 2. Let k(s) = 21*s**5 + 10*s**4 - 10*s**3 - 21*s**2 + 11. Let a(y) = -2*k(y) + 11*q(y). What is f in a(f) = 0?
-1, 0, 1
Suppose 24 = -2*p - 5*i + 5, 0 = p - 4*i - 23. Let g(c) be the first derivative of 3/5*c**4 + 1/5*c**p - 3/5*c**2 - 2 - 9/25*c**5 + 0*c. What is y in g(y) = 0?
-2/3, 0, 1
Let y(h) = -2*h**2 + 17*h - 23. Let r(i) = -i**2 + 8*i - 11. Let k be (-10)/6 - 2/6. Let c(l) = k*y(l) + 5*r(l). Find w, given that c(w) = 0.
3
Let 1/5*a**3 - 1/5*a**2 + 0 + 0*a = 0. What is a?
0, 1
Let c(g) be the first derivative of g**7/420 + g**6/180 - g**5/60 - g**4/12 + 5*g**3/3 - 6. Let x(i) be the third derivative of c(i). Factor x(m).
2*(m - 1)*(m + 1)**2
Let d = 5 + -2. Find a, given that -a - 1 + a**2 - 30*a**d + 11*a**3 + 20*a**3 = 0.
-1, 1
Let h(k) be the first derivative of -k**5/20 + k**4/4 - k**3/2 - k**2/2 + 3. Let o(l) be the second derivative of h(l). Determine q, given that o(q) = 0.
1
Suppose -3*i - 13 - 17 = 0. Let w = -78 - -76. Let f(p) = 4*p**2 + 6*p. Let c(v) = -v**2 - v. Let x(n) = i*c(n) + w*f(n). Determine t, given that x(t) = 0.
0, 1
Let l(x) be the second derivative of -x**5/30 - x**4/6 + 3*x**2/2 - 2*x. Let r(i) be the first derivative of l(i). Factor r(k).
-2*k*(k + 2)
Let o(w) = -w**2 + 9*w - 18. Let d be o(4). Determine c so that -2/3*c**3 - 2/3*c + 0 + 4/3*c**d = 0.
0, 1
Let f(z) = z**3 - 4*z**2 + 5*z - 4. Let o be f(3). Suppose -o*m - 2 = 3*j, -5*m = 2*j + 3*j + 10. Factor 2*c**5 - 6*c**3 + 6*c**3 - j*c**4.
2*c**4*(c - 1)
Let z(x) = -x**2 - 8*x - 3. Let s be z(-7). Solve -6*q**2 - 3*q**5 + 3*q**4 - q**4 + 3*q + s*q**4 = 0.
-1, 0, 1
Let n(s) = -2*s**2 + 2*s + 4. Let p(d) = 4*d**2 - 5*d - 9. Suppose 0 = x, 0*x = h + 3*x + 4. Let o(y) = h*p(y) - 9*n(y). Determine v so that o(v) = 0.
-1, 0
Let o(m) be the first derivative of 1/2*m**2 - 1/4*m**4 + 1 + 1/6*m**3 - 1/2*m. Factor o(a).
-(a - 1)*(a + 1)*(2*a - 1)/2
Let x(j) be the first derivative of 2/3*j**3 - 1/2*j**4 + 0*j + 1/3*j**6 - 2/5*j**5 - 2 + 0*j**2. Factor x(y).
2*y**2*(y - 1)**2*(y + 1)
Let v(g) be the first derivative of -3/8*g**2 + 3 + g**3 + 0*g. Factor v(m).
3*m*(4*m - 1)/4
Suppose 5*i + 5*q = 25, -11 = -i - 2*q + 3*q. Solve -3*o**3 - 3*o - 2 + i - 6 - 6*o**2 = 0.
-1, 0
Let h(a) be the first derivative of a**8/1848 - 2*a**7/1155 + a**6/660 + a**2 - 1. Let v(w) be the second derivative of h(w). Determine g, given that v(g) = 0.
0, 1
Let t(w) be the second derivative of 1/10*w**5 + 1/6*w**4 + 7*w - w**2 - 1/3*w**3 + 0. Let t(g) = 0. What is g?
-1, 1
Factor -4*d**2 + 3*d**2 + 0*d - 3*d**2 + 8 + 4*d.
-4*(d - 2)*(d + 1)
Let 120*h**2 - 4*h**3 - 544*h + 4000 - 332*h + 264*h - 588*h = 0. Calculate h.
10
Factor 4/11*r + 0 + 6/11*r**3 + 10/11*r**2 - 2/11*r**5 - 2/11*r**4.
-2*r*(r - 2)*(r + 1)**3/11
Let r(z) be the third derivative of -1/165*z**6 - 1/1155*z**7 - 3*z**2 - 1/33*z**4 + 0 + 0*z - 1/33*z**3 - 1/55*z**5. Factor r(u).
-2*(u + 1)**4/11
Suppose -2*b = -4*p - 74, -4*b + 83 + 11 = -5*p. Let h = -16 - p. Suppose 2/5*m - 1/5*m**h - 1/5 = 0. What is m?
1
Factor 17*r - 2*r**2 + 21 - 7*r**2 + 13*r - 30.
-3*(r - 3)*(3*r - 1)
Let o be -9 + 16 + -4 + 0. Suppose -4*a - 3*m + 6 = -a, -a = -5*m - 20. Factor 1/3*c**2 + 0*c + 5/3*c**o + c**a + 7/3*c**4 + 0.
c**2*(c + 1)**2*(3*c + 1)/3
Let d = -3 + 1. Let z = 3 - d. What is p in -z*p**2 + 4*p**2 - 5*p**2 - 2*p = 0?
-1/3, 0
Let l = -13 + 16. Let k(s) be the first derivative of -6*s**3 + 6*s**2 - 3/5*s**5 + 3*s**4 - 2 - l*s. Find a such that k(a) = 0.
1
Let j = 2/11 - -38/33. Find s, given that 2/3*s**2 - j + 2/3*s = 0.
-2, 1
Suppose -j = 4*j - 30. Determine s so that j*s**3 + 2*s**3 + 3*s**3 - 2*s**3 - s = 0.
-1/3, 0, 1/3
Suppose -24/11*l - 2/11*l**4 - 12/11*l**3 - 26/11*l**2 - 8/11 = 0. Calculate l.
-2, -1
Let t(v) be the second derivative of -3*v**5/20 + v**3/2 + 3*v. Determine l, given that t(l) = 0.
-1, 0, 1
Let y(o) be the second derivative of -o**6/1620 - o**5/270 + o**3/3 + 8*o. Let z(x) be the second derivative of y(x). What is q in z(q) = 0?
-2, 0
Let h(a) = 3*a**3 + 9*a**2 - 12*a. Let c(t) = 2*t**3 + 10*t**2 - 12*t. Let u(s) = -6*c(s) + 5*h(s). Determine l so that u(l) = 0.
0, 1, 4
Let y(n) = -7*n + 38. Let l be y(5). Find q such that 3/2*q**5 + 3/2*q**3 + 9/2*q**2 + 0 - 9/2*q**4 - l*q = 0.
-1, 0, 1, 2
Let a(t) = 16*t**3 - 27*t**2 + 33*t + 5. Let h(y) = 4*y**3 - 7*y**2 + 8*y + 1. Let n(i) = -2*a(i) + 9*h(i). Factor n(u).
(u - 1)**2*(4*u - 1)
Let z(c) be the first derivative of 2*c**6/3 + 28*c**5/5 + 18*c**4 + 80*c**3/3 + 16*c**2 + 8. Suppose z(p) = 0. Calculate p.
-2, -1, 0
Let r be ((-6)/(-15))/(0 - 18/(-30)). Factor 0 + 0*a**2 + r*a**3 + 0*a.
2*a**3/3
Let o(j) be the first derivative of 2*j**5/5 - 3*j**4/2 + 2*j**3 - j**2 - 12. Find l, given that o(l) = 0.
0, 1
Let v = -6 + 9. Factor -q**4 + 7*q**2 - 17*q**3 - 6*q + 4*q**4 + 5*q**v + 8*q**2.
3*q*(q - 2)*(q - 1)**2
Determine u, given that -22/15 - 4/3*u + 2/15*u**2 = 0.
-1, 11
Let j(x) be the third derivative of x**8/112 - x**6/20 + x**4/8 - 14*x**2. Find n, given that j(n) = 0.
-1, 0, 1
Suppose 2*n + y - 15 = 0, -2*y - 10 = -4*n + 8. Let f(c) be the first derivative of 0*c**3 + 1/5*c**5 + 0*c**2 + 1 + 0*c - 1/2*c**4 + 1/6*c**n. Factor f(m).
m**3*(m - 1)*(m + 2)
Let v(n) be the second derivative of n**4/24 + 12*n. Factor v(i).
i**2/2
Determine r 