rst derivative of -9*t**4/8 + 2*t**3 + 15*t**2/4 - 3*t - 13. Factor g(i).
-3*(i - 2)*(i + 1)*(3*i - 1)/2
Factor 0 + 4/5*g**2 + 2/5*g.
2*g*(2*g + 1)/5
Factor -21/4*r**3 - 3/4*r + 0 + 15/4*r**2 + 9/4*r**4.
3*r*(r - 1)**2*(3*r - 1)/4
Let y(z) = z**4 - z**3 - z**2. Let x(s) = -2*s**5 + 3*s**4 + s**3 - 3*s**2 - 2*s. Let k(r) = -x(r) + 3*y(r). Determine c so that k(c) = 0.
-1, 0, 1
Let k(u) be the third derivative of -u**9/756 - u**8/560 + u**7/840 - u**3/2 + 2*u**2. Let o(b) be the first derivative of k(b). Find m, given that o(m) = 0.
-1, 0, 1/4
Let w be 1/(-1) - -13*14. Let c = w + -317/2. Determine j, given that -37/2*j**3 + c*j**5 + 0 - 6*j**4 + 0*j**2 + 2*j = 0.
-2/3, -2/5, 0, 1/3, 1
Factor -6/11*l**3 - 2/11 - 14/11*l**2 - 10/11*l.
-2*(l + 1)**2*(3*l + 1)/11
Let o(t) be the first derivative of -t**7/21 - t**6/5 - t**5/5 - t - 1. Let y(a) be the first derivative of o(a). Let y(n) = 0. What is n?
-2, -1, 0
Let j(u) = -u**2 + 10*u + 13. Let h be j(11). Let s(p) be the first derivative of 0*p**3 - 1 + 0*p + 1/10*p**4 - 1/5*p**h. Solve s(f) = 0.
-1, 0, 1
Let h(s) be the third derivative of s**5/15 - s**4 + 10*s**3/3 - 4*s**2. Factor h(v).
4*(v - 5)*(v - 1)
Factor 21*t**3 - 16*t**3 + 344 + 715*t + 501 - 125*t**2.
5*(t - 13)**2*(t + 1)
Factor -4/3*a**2 + 0 - 2*a + 2/3*a**3.
2*a*(a - 3)*(a + 1)/3
Factor z**4 - 158 - 10*z - 20*z**3 + 158 + 4*z**4 + 25*z**2.
5*z*(z - 2)*(z - 1)**2
Factor 1/11*t**2 - 5/11*t**3 + 5/11*t + 0 - 1/11*t**4.
-t*(t - 1)*(t + 1)*(t + 5)/11
Suppose -3*j - 8 = -7*j. Solve 7*n + j*n**2 - 2*n - 2*n + n = 0 for n.
-2, 0
Determine u, given that 6/11*u**5 + 38/11*u**4 + 48/11*u + 8/11 + 90/11*u**3 + 98/11*u**2 = 0.
-2, -1, -1/3
Let a be 2/(-11) + (-624)/(-286). Let u(b) be the second derivative of a*b**4 - 3/2*b**3 - 4/5*b**5 + 0 + 1/2*b**2 + b. Factor u(l).
-(l - 1)*(4*l - 1)**2
Let j(p) be the second derivative of p**7/4200 + p**6/1200 - p**4/3 - 4*p. Let q(d) be the third derivative of j(d). Factor q(l).
3*l*(l + 1)/5
Suppose 3*p - 4 = 2*p. Suppose 0*i - 8 = -p*i. Factor n**2 - i*n**3 + 3*n**3 - n + 0*n**3 - 1.
(n - 1)*(n + 1)**2
Suppose -2*t + 7 = -b, 3*t = -3*b - 0 + 6. Suppose -5*d + 8*d - 15 = 0. Determine y so that y**2 - d*y**t + 4/5 + 16/5*y = 0.
-2/5, 1
Suppose 0 = -8*r - 4*r + 36. Factor -2/5*h**2 + 2/5 + 2/5*h - 2/5*h**r.
-2*(h - 1)*(h + 1)**2/5
Let h(f) = f - 5. Let m be h(7). Let u(z) be the third derivative of -1/20*z**5 + 0*z + 0*z**3 - 1/12*z**4 + 0 + 1/60*z**6 + z**m. Factor u(t).
t*(t - 2)*(2*t + 1)
Suppose -3/2 - 3/2*y**2 - 3*y = 0. Calculate y.
-1
Let r be -5*1/(15/(-6)). Let h be (3 + (-26)/12)*(-3)/(-10). Factor h*b + 1/4*b**r + 0.
b*(b + 1)/4
Suppose -5 = -2*s - 1. Factor 0 - 2*y**s + 3 - 3 - 2*y.
-2*y*(y + 1)
Let c = 29/13 + 1772/39. Let u = 48 - c. Factor -2/3*p**2 + 0*p**3 + 1/3*p - u*p**5 + 2/3*p**4 + 0.
-p*(p - 1)**3*(p + 1)/3
Let h(x) be the first derivative of 3/10*x**4 + 3/25*x**5 + 3/5*x - 2/5*x**3 - 1/10*x**6 - 3/10*x**2 - 6. What is k in h(k) = 0?
-1, 1
Let d be (2/5)/((-133)/(-285)). Determine h, given that -2/7 + 6/7*h + 2/7*h**3 - d*h**2 = 0.
1
Let a = -24 + 34. Suppose -x - a = -3*x. Factor -q**2 + x*q - 5*q.
-q**2
Let w be (14/8)/((-5)/(-20)). Let u(g) = -g**2 + 7*g. Let b be u(w). Factor b*f**3 + 4/3*f**4 + 0 - 2/3*f + 2/3*f**5 - 4/3*f**2.
2*f*(f - 1)*(f + 1)**3/3
Factor 81 - 6*s - 27*s**2 - 81 - 21*s**3.
-3*s*(s + 1)*(7*s + 2)
Let q be 2/(-14)*12 - (-6)/3. What is i in -8/7*i**5 + 22/7*i**4 + 0 - 18/7*i**3 + 2/7*i**2 + q*i = 0?
-1/4, 0, 1
Let b(z) be the second derivative of -z**6/50 - 9*z**5/20 - 63*z**4/20 - 49*z**3/10 - 7*z - 2. Factor b(l).
-3*l*(l + 1)*(l + 7)**2/5
Let n(j) = -j**2 + 1. Let s(b) = b**2 - b. Let v = 7 + -22. Suppose 0*g + 15 = -5*g. Let f(x) = g*n(x) + v*s(x). Factor f(l).
-3*(l - 1)*(4*l - 1)
Factor -2/3*i**2 - 5*i + 1/3*i**3 + 12.
(i - 3)**2*(i + 4)/3
Let n(k) = k**5 + k**4 + 3*k**3 + k**2 + k. Let b(p) = -2*p**5 - 3*p**4 - 7*p**3 - 3*p**2 - 2*p. Let g(h) = -3*b(h) - 5*n(h). Suppose g(u) = 0. Calculate u.
-1, 0
Let o(q) be the second derivative of 0 + 1/18*q**4 - 1/3*q**2 - 1/60*q**5 + 1/18*q**3 + 4*q. Factor o(h).
-(h - 2)*(h - 1)*(h + 1)/3
Solve 17*h**4 + h**3 + h**5 - 13*h**4 + 2*h**5 = 0.
-1, -1/3, 0
Let a(u) = 8*u**3 - 16*u**2 - u + 9. Let x(h) = -2*h**3 + 4*h**2 - 2. Let t(z) = 4*a(z) + 18*x(z). Factor t(p).
-4*p*(p - 1)**2
Suppose -72 = -0*t - 4*t. Suppose -8 = -2*d - 3*z, 4*d + 3*z + 2 = t. Solve -y**4 + 5*y**2 + 3*y**d + y**2 - 2*y - 6*y**3 = 0 for y.
0, 1
Let l be 7/(-63) - (-217)/252. Determine s, given that -3/4*s**2 - l*s + 0 + 3/4*s**4 + 3/4*s**3 = 0.
-1, 0, 1
Let q(s) be the third derivative of -s**6/270 - s**5/60 + s**4/18 - 5*s**3/6 + 3*s**2. Let p(v) be the first derivative of q(v). Factor p(f).
-2*(f + 2)*(2*f - 1)/3
Let n = -339/4 - -1021/12. Factor 0*b + 0 + 2/3*b**2 + n*b**4 + b**3.
b**2*(b + 1)*(b + 2)/3
Let r = 67 - 67. Find z such that 0 - 9/4*z**3 + r*z - 3/4*z**2 + 3*z**4 = 0.
-1/4, 0, 1
Let c be -4*(2/2 - 2). Let t be 0/(-2*4/c). Determine d so that 2/9*d - 8/9*d**3 + 2/3*d**2 + t = 0.
-1/4, 0, 1
Factor 64/5*n - 24/5 - 2*n**2.
-2*(n - 6)*(5*n - 2)/5
Let s(g) = -10*g**5 - 40*g**4 - 53*g**3 - 47*g**2 - 3*g - 7. Let y(j) = -5*j**5 - 20*j**4 - 26*j**3 - 24*j**2 - j - 4. Let m(i) = -4*s(i) + 7*y(i). Factor m(z).
5*z*(z + 1)**4
Let w(c) = -c**2 + c - 1. Let f(d) = -3*d**5 + 6*d**4 - 3*d**3 + 2*d**2 - 2*d + 2. Let h = -27 - -29. Let k(v) = h*w(v) + f(v). Let k(i) = 0. What is i?
0, 1
Let m(y) be the first derivative of 2*y**5/5 + 5*y**4/2 + 14*y**3/3 + 3*y**2 - 4. Solve m(h) = 0 for h.
-3, -1, 0
Let c(k) = -2*k**3 + 12*k**2 + 66*k + 72. Let a(n) = -6*n**3 + 37*n**2 + 199*n + 216. Let w(y) = -4*a(y) + 14*c(y). Find o such that w(o) = 0.
-2, 9
Suppose 4*v - 4*k + 20 = -96, 5*v - 3*k = -143. Let w be 4/(-14) + (-64)/v. What is q in 0*q + 2*q**3 - 2/3*q**2 + 2/3*q**5 - w*q**4 + 0 = 0?
0, 1
Suppose 36 = -2*g - 2*g - 4*d, -5*d - 37 = 4*g. Let k be (15/70)/((-3)/g). Let -2/7*r**3 + 2/7*r + 4/7*r**2 - k = 0. What is r?
-1, 1, 2
Let c(v) be the first derivative of -2*v**6/3 - 16*v**5/5 - 3*v**4 + 16*v**3/3 + 8*v**2 + 8. Find k, given that c(k) = 0.
-2, -1, 0, 1
Let n(u) be the second derivative of u**6/255 + u**5/170 - u**4/34 - u**3/51 + 2*u**2/17 + 9*u. Let n(b) = 0. What is b?
-2, -1, 1
Suppose -2*l - 10 = -5*o + 15, o = 5. Let m(t) be the third derivative of 0*t**3 + l*t - 1/60*t**5 + 0 + 4*t**2 + 0*t**4. Factor m(y).
-y**2
Let h be 21/6 - (-1)/2. Let a be (1/8)/(2/h). Determine b, given that 0 + a*b**2 + 0*b = 0.
0
Let j(c) be the first derivative of -c**4/26 + 4*c**3/39 - c**2/13 - 10. Suppose j(u) = 0. Calculate u.
0, 1
Solve -4/5*t**2 + 2/5 - 4/5*t**3 + 2/5*t**4 + 2/5*t + 2/5*t**5 = 0 for t.
-1, 1
Suppose 0 = -3*x + f + 6, -3*f + 6 = 3*x + f. Let k(s) be the third derivative of -1/36*s**4 - s**x + 0*s**3 + 1/45*s**5 + 0 - 1/180*s**6 + 0*s. Factor k(i).
-2*i*(i - 1)**2/3
Let d(s) be the first derivative of 4 - 343/18*s**4 + 98/3*s**3 + 6*s - 21*s**2. Factor d(u).
-2*(7*u - 3)**3/9
Suppose 6*z - 2*z = 2*h - 10, 5*z - 20 = -4*h. Let i(o) be the first derivative of 1/5*o**h - 4 - 1/2*o**4 + 0*o**2 + 0*o + 1/3*o**3. Let i(m) = 0. What is m?
0, 1
Let h(k) = 4*k + 39. Let q be h(-9). Let l(j) be the first derivative of 7/4*j**4 + 8*j + 18*j**2 + 10*j**q - 1. Factor l(d).
(d + 2)**2*(7*d + 2)
Let a(j) = j**3 + j**2 - j - 1. Let b = -5 + -1. Let s(v) = -10*v**3 + 2 + 3*v + 7*v - 8*v**2 + 6. Let z(o) = b*a(o) - s(o). Factor z(q).
2*(q - 1)*(q + 1)*(2*q + 1)
Let t be ((-26)/10)/(2/(-5)) + -6. Let 3/4*l + 1/4*l**2 + t = 0. Calculate l.
-2, -1
Factor -n - 11*n**2 + 7*n**2 + 9*n.
-4*n*(n - 2)
Let c(d) be the first derivative of 2*d**5 + 17*d**4 + 698*d**3/15 + 204*d**2/5 + 72*d/5 - 10. Factor c(g).
2*(g + 3)**2*(5*g + 2)**2/5
Let i(a) = a**3 + a**2 + a + 4. Let r be i(0). Let x be (2/4)/(8/r). Solve -k - 3/2*k**2 - 1/4*k**4 - x - k**3 = 0 for k.
-1
Suppose b + 14 = 3*i, -21 = -5*i + 4*b + 7. Suppose 6*l + 2*l**2 - 2*l - i*l = 0. What is l?
0
Let a(z) be the second derivative of -z**4/6 + 32*z**3/3 - 256*z**2 + 18*z. Factor a(t).
-2*(t - 16)**2
Let p(i) be the second derivative of 1/50*i**5 - 1/5*i**2 - 2*i - 1/10*i**4 + 1/5*i**3 + 0. What is x in p(x) = 0?
1
Let k(s) = -s + 8. Let x be k(6). Let t(y) = -8 + 11 - x. Let n(o) = 225*o**4 - 30*o**3 - 84*o**2 + 24*