) be the first derivative of -3*w**5 + 9*w**4/4 + 7*w**3 - 9*w**2/2 - 6*w + 6. Find p such that c(p) = 0.
-1, -2/5, 1
Let q(v) = v**3 - v**2 + v. Let d(j) = -30*j**4 + 52*j**3 - 24*j**2 + 7*j. Let c(m) = -d(m) + 5*q(m). Find x, given that c(x) = 0.
0, 1/6, 2/5, 1
Let l(q) be the first derivative of -q**3 - 9*q**2/2 - 5. Solve l(n) = 0.
-3, 0
Let p = -483/2 + 245. Suppose -7/2*f**5 + 0*f + f**4 - f**2 + 0 + p*f**3 = 0. What is f?
-1, 0, 2/7, 1
Let j(o) be the first derivative of 4*o**3/3 - 2*o**2 - 8*o + 13. Solve j(g) = 0.
-1, 2
Find g such that 12*g**4 + 2*g**5 + 36*g**4 - 6*g**2 - 29*g**5 - 15*g**3 = 0.
-2/9, 0, 1
Suppose 4*f - 26 = -3*d, 5*d = 4*f - 3*f + 5. Determine c so that -4*c + 2 + 8*c**2 - 4*c**2 - d*c**2 = 0.
1
Let y(h) = 16*h**4 - 14*h**3 - 10*h**2 + 8*h + 6. Let z(m) = 47*m**4 - 42*m**3 - 31*m**2 + 24*m + 17. Let p(n) = 17*y(n) - 6*z(n). Factor p(q).
-2*q*(q - 2)*(q + 1)*(5*q - 2)
Let i be (2261/(-84))/(-17) + (-2)/8. Find t such that 0*t + i*t**2 + 0 + 2/3*t**3 = 0.
-2, 0
Let h(y) = 2*y**3 - 10*y**2. Let f(u) = 5*u**3 - 20*u**2. Let b(w) = -3*f(w) + 5*h(w). Factor b(z).
-5*z**2*(z - 2)
Let u be 5/1 - (-16)/(-8). Suppose -6*i - 2*i**u - 15/2*i**2 + 2 = 0. Calculate i.
-2, 1/4
Suppose -4*r - r + 85 = 0. Let q = r - 13. Determine o, given that -3/2*o**q + 1/2*o**2 + 0*o + o**3 + 0 = 0.
-1/3, 0, 1
Let k be (1/(32/(-24)))/(6/(-4)). Let -q**2 + 6*q + k*q**4 - 4 - 3/2*q**3 = 0. What is q?
-2, 1, 2
Suppose -5*n + 19 = -2*x, 4*x + 0*x = -2*n + 22. Factor 49*w - w + 27*w**n + 175*w**3 + 192*w**2 + 89*w**3 + 144*w**4.
3*w*(w + 2)**2*(3*w + 2)**2
Suppose 0 = -3*w - 3*t - 2*t + 30, -2*w + 20 = -5*t. Suppose 0 = -q + 3 - 0. Determine r, given that 3*r + 6*r**2 + r**q - w*r**3 + 3*r**4 - 3*r = 0.
0, 1, 2
Let z(q) be the second derivative of 1/30*q**5 + 3*q + 4/45*q**6 + 0 - 1/27*q**4 + 1/27*q**7 + 0*q**2 + 0*q**3. Determine j so that z(j) = 0.
-1, 0, 2/7
Let c(m) = -m**3 - 8*m**2 - 10*m - 6. Let w be c(-6). Let v be ((-2)/20)/(w/45). Determine k so that 0 - 1/2*k**3 + 1/4*k**4 + 0*k + v*k**2 = 0.
0, 1
Let j(h) be the third derivative of -1/135*h**5 + 0*h**3 + 1/1512*h**8 + 0 + 0*h + h**2 - 1/108*h**4 + 0*h**6 + 2/945*h**7. Factor j(u).
2*u*(u - 1)*(u + 1)**3/9
Suppose -4*a - 165 = -9*a. Let w be (-2)/10 - a/(-15). Determine g, given that -g**2 - g**3 + 0*g**5 - g**5 + w*g**5 + g**4 = 0.
-1, 0, 1
Let r(c) = -4*c**4 - 50*c**3 - 74*c**2 + 642*c - 510. Let w(u) = -u**3 + u**2 - u - 1. Let x(t) = r(t) + 2*w(t). Factor x(a).
-4*(a - 2)*(a - 1)*(a + 8)**2
Let x(a) be the third derivative of -a**9/3780 + a**8/1680 + 2*a**7/315 - a**6/45 - a**4/6 - a**2. Let c(n) be the second derivative of x(n). Factor c(l).
-4*l*(l - 2)*(l - 1)*(l + 2)
Let y(r) be the second derivative of r**7/84 - r**6/60 - 3*r. Factor y(m).
m**4*(m - 1)/2
Let c(w) be the second derivative of w**4/24 + 7*w**3/12 - 15*w. Let c(z) = 0. What is z?
-7, 0
Let b(p) be the first derivative of 3 - 1/8*p**4 + 0*p**2 + 1/6*p**3 + 1/12*p**6 - 1/10*p**5 + 0*p. Suppose b(f) = 0. What is f?
-1, 0, 1
Suppose 10*z = 5*z. Suppose z*q - 18 = -3*q. Suppose 0*p**2 + p**4 - 3*p**2 + q*p**3 - 4*p**4 = 0. What is p?
0, 1
Let j = 146 + -1459/10. Let u(y) be the second derivative of -2/15*y**6 + 1/21*y**7 + 0*y**4 + j*y**5 + 0*y**3 + 0*y**2 + 0 + y. Factor u(k).
2*k**3*(k - 1)**2
Suppose -5*k = 4*p - 18, -3*k + 2*p - 3*p = -8. Factor 4/3*n**k - 2/9*n**3 + 16/9 - 8/3*n.
-2*(n - 2)**3/9
Let f(x) = 77*x**3 - 195*x**2 + 28*x - 17. Let k(b) = -26*b**3 + 65*b**2 - 9*b + 6. Let n(u) = 6*f(u) + 17*k(u). What is z in n(z) = 0?
0, 1/4, 3
Let a(k) be the third derivative of -k**5/120 - 7*k**4/24 - 49*k**3/12 + 3*k**2. Determine r, given that a(r) = 0.
-7
Let i(m) be the second derivative of m**6/45 - m**5/10 + m**4/9 + 9*m. Determine c so that i(c) = 0.
0, 1, 2
Suppose -w + 0*w - 9 = -3*c, 0 = -5*c + 3*w + 19. Suppose 10 = -h - 5*r, r + c = 2*h + 2*h. Solve -t**3 + t**2 + t + 0*t**4 + h*t**4 - t**4 = 0 for t.
-1, 0, 1
Let u(x) = 2*x**2 + 15*x - 8. Let k be u(-8). Let o(t) be the second derivative of 0*t**3 - 2*t + k - 1/12*t**4 + 0*t**2. Factor o(j).
-j**2
Solve 3 - 5*n**2 + n**2 + 7 - n**2 + 5*n = 0.
-1, 2
Let y be (2 + -5)*26/(-273). Factor -y*x**2 + 8/7 + 6/7*x.
-2*(x - 4)*(x + 1)/7
Let y = 59 + -34. Suppose -n + 3*x + y = -2*x, 4*x = 3*n - 20. Find i, given that -1/2*i**2 - i + n = 0.
-2, 0
Suppose -2*x**3 + 7 - 2 + 7 + 8*x**2 - 22*x + 4*x**3 = 0. Calculate x.
-6, 1
Let u(d) be the third derivative of 0*d**4 + 0*d + 0*d**3 - 3*d**2 + 1/45*d**5 + 0 - 1/60*d**6 + 1/315*d**7. Find l such that u(l) = 0.
0, 1, 2
Let x(z) be the first derivative of -25*z**6/6 - 17*z**5 - 105*z**4/4 - 55*z**3/3 - 5*z**2 - 2. Factor x(t).
-5*t*(t + 1)**3*(5*t + 2)
Let w be 80/(-32)*2/(-5). Let c be w - 1 - (0 + -2). Suppose 1/3*f**c - 1/3*f + 0 = 0. What is f?
0, 1
Let l(x) = 1. Let n(i) = -5*i**2 + 10. Let b(f) = -5*l(f) + n(f). Find p, given that b(p) = 0.
-1, 1
Let w be 8/(-6 + 2)*-3. Let p(g) be the first derivative of 0*g**3 - 2/5*g**5 - 2 + 1/5*g**w + 0*g**2 + 0*g + 1/5*g**4. What is f in p(f) = 0?
0, 2/3, 1
Let j(t) = -2*t**2 + 64*t + 208. Let g(i) = i**2 - 43*i - 139. Let x(u) = -8*g(u) - 5*j(u). Solve x(a) = 0 for a.
-6
Let f be (-2)/(-11) + 60/33. Suppose f*m = m + 3. Solve 0 - 1/2*b**4 + 1/4*b**5 + 0*b**2 + 0*b + 0*b**m = 0 for b.
0, 2
Let v(d) be the second derivative of -d**6/30 + 6*d. Solve v(q) = 0.
0
Let l be (-4)/(-6)*(18 + 0). Let n be ((-15)/l)/(1/(-4)). Solve -5*w - n + 3 - w**2 + 8*w**2 = 0.
-2/7, 1
Let c(h) be the third derivative of 0 - 1/48*h**4 + 2*h**2 + 1/24*h**3 + 0*h + 1/240*h**5. Determine m, given that c(m) = 0.
1
Let q(x) be the first derivative of -1 - x**2 - 1/240*x**5 + 0*x**4 + 0*x**3 - 1/160*x**6 + 0*x. Let r(i) be the second derivative of q(i). Factor r(g).
-g**2*(3*g + 1)/4
Let w(f) be the first derivative of f**8/168 - 2*f**7/105 + f**5/15 - f**4/12 + f**2 - 1. Let r(m) be the second derivative of w(m). What is x in r(x) = 0?
-1, 0, 1
Let b(p) be the third derivative of -1/200*p**6 + 0*p**3 + 0*p**4 + 2/175*p**7 + 3*p**2 + 3/560*p**8 + 0*p + 0 - 1/50*p**5. Suppose b(d) = 0. What is d?
-1, 0, 2/3
Factor -32*b**3 + 6*b**4 - 9*b**2 + 69*b**4 + 21*b**2 - 28*b**3.
3*b**2*(5*b - 2)**2
Let f(c) be the second derivative of c**7/189 + 4*c**6/135 + 2*c**5/45 - c**4/27 - 5*c**3/27 - 2*c**2/9 - 4*c. Determine t, given that f(t) = 0.
-2, -1, 1
Determine l so that -9/5*l**4 + 9/5*l**2 - 3/5*l**3 - 3/5*l**5 + 0 + 6/5*l = 0.
-2, -1, 0, 1
Let u = 45/4 + -11. Let m = 11 - 9. Find w, given that 0 + 1/4*w**m - u*w = 0.
0, 1
Let b(n) = -8*n**3 - 10*n**2 + 38*n - 14. Let h(s) = -17*s**3 - 19*s**2 + 76*s - 27. Let v(g) = 13*b(g) - 6*h(g). What is i in v(i) = 0?
-10, 1
Suppose 4*a + v - 8 = -2*v, 0 = 2*v. Determine d so that -2/9*d**a + 0*d + 2/9*d**4 + 2/9*d**5 + 0 - 2/9*d**3 = 0.
-1, 0, 1
Suppose 8*h - 3*h - 12 = 2*s, h = 4*s - 12. Find z, given that -2*z**2 + 6*z - 2*z**4 + 6*z - 12*z + s*z**3 = 0.
0, 1
Suppose -2*f + f + 3 = 0. Suppose 3*z = 5*r - 170, f*z + 2*z - 68 = -2*r. Factor -8*b**5 - 44*b**2 - 9*b + 0*b - 56*b**3 - 2 - r*b**4 - 7*b.
-2*(b + 1)**4*(4*b + 1)
Factor -4/3 - 11/3*s + s**2.
(s - 4)*(3*s + 1)/3
Let s = -1055 - -1057. What is l in -9/4*l**s - 3/4*l**3 - 9/4*l - 3/4 = 0?
-1
Let r(q) = 3*q + 6. Let s be r(0). Let j(a) be the second derivative of 0*a**2 + 0*a**4 - 1/20*a**5 + 1/30*a**s + 0 + 0*a**3 - a. Let j(h) = 0. What is h?
0, 1
Find y, given that -15*y - 13*y**2 + 5*y**4 - 2*y**2 + 5*y = 0.
-1, 0, 2
Find f such that -2/7*f**2 - 4/7*f - 2/7 = 0.
-1
Let k = 9 - 5. Suppose -u + 4*m = -k*u - 20, -3*m - 15 = 3*u. Factor 0*o**2 - o - o**2 + u*o.
-o*(o + 1)
Let t(i) be the second derivative of -1/12*i**4 + 9*i - 2*i**2 - 2/3*i**3 + 0. Factor t(n).
-(n + 2)**2
Suppose -4*p = p - 3*p. Let l(w) be the third derivative of 0 + 1/3*w**3 + p*w + 0*w**4 + 3*w**2 - 1/30*w**5. Let l(b) = 0. Calculate b.
-1, 1
Let s(v) be the third derivative of -v**7/105 - v**6/120 + v**5/10 + 7*v**4/24 + v**3/3 - 7*v**2. Find b, given that s(b) = 0.
-1, -1/2, 2
Solve 0*f**5 + 4*f**5 - 2*f + 8*f**4 - 8*f**2 + 0*f**4 - 2*f = 0 for f.
-1, 0, 1
Let z(j) be the first derivative of j**8/560 - 3*j**7/280 + j**6/40 - j**5/40 + 5*j**3/3 + 5. Let l(r) be the third derivative of z(r). Factor l(g).
3*g*(g - 1)**3
Let g(t) be the second der