c**5 + 8/5*c**4 - 2/5*c + 0 + 8/5*c**y - 12/5*c**3.
-2*c*(c - 1)**4/5
Let b = 2 + 1. Factor 2/11*p + 4/11*p**2 + 2/11*p**b + 0.
2*p*(p + 1)**2/11
Let h = -49 - -49. Factor h + 0*u + 3/4*u**2.
3*u**2/4
Let k be 4/84*5/((-5)/(-6)). Factor 0 - 4/7*y**4 + k*y**5 + 0*y**2 + 0*y**3 + 0*y.
2*y**4*(y - 2)/7
Suppose 16/5*p - 4/5*p**2 - 4/5*p**3 + 16/5 = 0. Calculate p.
-2, -1, 2
Let q(c) be the first derivative of 7*c**5/90 - 4*c**4/9 + 4*c**3/9 + c**2/2 - 1. Let y(v) be the second derivative of q(v). Let y(i) = 0. What is i?
2/7, 2
Suppose -10 = -x - 3. Suppose 5*f - f = 2*z - 2, x = 2*z + f. Determine n so that 4*n**2 + 2*n**4 - 16/3*n**z + 0*n - 2/3 = 0.
-1/3, 1
Let j be -2 - ((2 - 1) + -1). Let x be (2 - j) + (-2)/(-2). Determine r so that 4*r**3 - r**4 + r**4 - 2*r - 2*r**x = 0.
-1, 0, 1
Let s(k) = 25*k**4 + 4*k**3 - 60*k**2 + 20*k. Let x(v) = -5*v**4 - v**3 + 12*v**2 - 4*v. Let z = 3 - -1. Let f(m) = z*s(m) + 22*x(m). Factor f(c).
-2*c*(c - 1)*(c + 2)*(5*c - 2)
Let t(u) = -u**2 - 7*u - 3. Let z be t(-8). Let p = -8 - z. Factor -1/2*x**2 + 1/4*x**4 + 1/4 + 0*x + 0*x**p.
(x - 1)**2*(x + 1)**2/4
Factor 6/13*t**2 - 2/13*t**3 + 0*t - 8/13.
-2*(t - 2)**2*(t + 1)/13
Determine u so that -1/2*u**2 - 9/2 - 3*u = 0.
-3
Let z(y) be the third derivative of 1/210*y**7 + 5*y**2 + 0*y + 1/15*y**5 + 0*y**3 + 1/30*y**6 + 0 + 0*y**4. Find n such that z(n) = 0.
-2, 0
Let o = 792/5 - 158. Let 0*k + 2/5*k**3 + 0 + o*k**2 = 0. Calculate k.
-1, 0
Find t, given that 255*t**3 - 18*t**2 - 512*t**3 + 96 + 260*t**3 = 0.
-2, 4
Let v(y) be the first derivative of 2*y**5/45 - 4*y**3/27 + 2*y/9 + 4. Factor v(s).
2*(s - 1)**2*(s + 1)**2/9
Let t(f) be the second derivative of -4/15*f**3 + 1/10*f**4 + 1/75*f**6 - 4/5*f**2 + 0 + 2/25*f**5 - f. Determine p so that t(p) = 0.
-2, -1, 1
Let o(g) be the second derivative of -3*g**5/20 - g**4 - 5*g**3/2 - 3*g**2 - 3*g + 1. Factor o(p).
-3*(p + 1)**2*(p + 2)
Let t(m) be the first derivative of 100*m**3/3 + 40*m**2 + 16*m + 1. Find a such that t(a) = 0.
-2/5
Let h(a) = -4*a**2 + 2*a. Let b(c) = 21*c**2 - 11*c. Suppose 5*y - 2 - 17 = 4*m, y + 49 = -4*m. Let g(d) = m*h(d) - 2*b(d). Solve g(q) = 0.
0
Let b(z) be the first derivative of 5*z**4/4 - 5*z**3/3 - 10. Find s, given that b(s) = 0.
0, 1
Let o(s) = -s**2 + 6*s. Let x(k) = -7*k - 1. Let c be x(-1). Let d be o(c). Solve d*i + 2/5*i**2 + 0 + 2/5*i**4 + 4/5*i**3 = 0.
-1, 0
Let q(i) be the second derivative of -2*i**7/35 + 4*i**6/75 + i**5/25 - 28*i. Factor q(k).
-4*k**3*(k - 1)*(3*k + 1)/5
Let q = -5 - -8. Let p(h) be the first derivative of 0*h**2 - 1/4*h**4 + 1/10*h**5 - 1 + 1/6*h**q + 0*h. Determine g so that p(g) = 0.
0, 1
Let s be 3/(78/56) - 4/26. Let -8/3*m - 2/9*m**3 + 16/9 + 4/3*m**s = 0. What is m?
2
Let k = -4 - 1. Let r(c) = 2 + 1 + 2 + 4*c - c**2. Let t(b) = 2*b + 2. Let d(n) = k*t(n) + 2*r(n). Determine a so that d(a) = 0.
-1, 0
Let l(t) be the first derivative of -t**8/420 - t**7/105 + t**5/15 + t**4/6 - 2*t**3 - 5. Let o(g) be the third derivative of l(g). Find a such that o(a) = 0.
-1, 1
Let l(q) be the third derivative of 0*q + 4*q**2 - 1/660*q**6 - 1/1848*q**8 + 0 + 0*q**3 + 0*q**4 + 0*q**5 + 2/1155*q**7. Suppose l(n) = 0. What is n?
0, 1
Let d(y) be the first derivative of -75*y**5/8 + 75*y**4/8 - 15*y**3/4 + 3*y**2/4 - 8*y + 3. Let r(v) be the first derivative of d(v). Factor r(g).
-3*(5*g - 1)**3/2
Let b(i) be the second derivative of 5*i**4/12 - 5*i**3 + 45*i**2/2 - 5*i + 4. Let b(q) = 0. What is q?
3
Let x(p) be the first derivative of -1/5*p**5 - 3/4*p**4 - 1/2*p**2 + 0*p - 4 - p**3. Factor x(s).
-s*(s + 1)**3
Find u such that -u**2 - 24*u + 24*u + 5*u**2 + 4*u**3 - 24*u = 0.
-3, 0, 2
Let o(a) be the second derivative of -375*a**7/14 + 55*a**6/2 + 14*a**5 + 5*a**4/3 - 12*a. Suppose o(p) = 0. What is p?
-2/15, 0, 1
Let p(b) = -7*b**2 + 58*b - 239. Let s(r) = -6*r**2 + 57*r - 240. Let a(c) = 3*p(c) - 4*s(c). Factor a(w).
3*(w - 9)**2
Suppose -7*a = -3*a. Let q be a + 2/(-10)*-2. What is n in -q - 4/5*n - 2/5*n**2 = 0?
-1
Find n, given that -210*n**2 + 98*n**3 + 87*n + 40*n - 32 - 51*n + 68*n = 0.
4/7, 1
Let a(v) be the first derivative of 2/5*v**2 + 0*v - 2/15*v**3 + 3. Suppose a(n) = 0. Calculate n.
0, 2
Let v be -1 - (-5)/3 - (-6)/(-9). Let i(z) be the second derivative of 0*z**2 + 1/18*z**4 + v - 1/60*z**5 - 2*z + 0*z**3. Let i(c) = 0. Calculate c.
0, 2
Let o(q) be the first derivative of -q**6/90 + q**4/36 - 7*q + 7. Let a(d) be the first derivative of o(d). Determine b, given that a(b) = 0.
-1, 0, 1
Let q(m) = 6*m**2 - 12*m - 9. Let c(h) = 3*h**2 - 6*h - 4. Let n be (-26 + -1)*5/(-15). Let f(z) = n*c(z) - 4*q(z). Solve f(y) = 0 for y.
0, 2
Let q(u) be the first derivative of -u**8/5880 + u**7/1470 - u**6/1260 - 2*u**3/3 - 1. Let n(b) be the third derivative of q(b). Factor n(k).
-2*k**2*(k - 1)**2/7
Let p = 4 - -4. Let d be (-12)/p*(-2)/6. Factor 0*t + d*t**3 + 1/2*t**2 - 1/2*t**5 + 0 - 1/2*t**4.
-t**2*(t - 1)*(t + 1)**2/2
Suppose 0 = l + 4 + 12. Let z be ((-2)/(-4))/((-4)/l). Solve -2/5*d**z - 2/5 - 4/5*d = 0.
-1
Find a such that -1/3*a - 2/9 + 0*a**4 + 4/9*a**3 - 1/9*a**5 + 2/9*a**2 = 0.
-1, 1, 2
Let m(t) = -7*t**2 + 112*t - 968. Let h(c) = -36*c**2 + 561*c - 4839. Let w(d) = 4*h(d) - 21*m(d). Factor w(v).
3*(v - 18)**2
Let k(t) = 9*t - 14. Let g be k(2). Factor -12/5*l + 72/5*l**2 + 15*l**g + 0 - 27*l**3.
3*l*(l - 1)*(5*l - 2)**2/5
Let d(j) be the second derivative of j**6/10 + 9*j**5/20 + j**4/2 + 7*j. Factor d(o).
3*o**2*(o + 1)*(o + 2)
Suppose -2*z - 10 = -0*z - 5*u, z = 5*u - 15. Suppose 4*c + z*k - 32 = 0, k + 1 - 5 = 0. Factor 3*b**c + 4*b**5 - 3*b**5 - 4*b**3.
b**3*(b - 1)*(b + 1)
Let a be (1/1)/((-1)/(-3)). Let t = a + -1. Factor -t*h**2 + 0 + 1 + 3*h - h + 3.
-2*(h - 2)*(h + 1)
Let 0*w + 2/3*w**5 + 5/6*w**4 + 1/6*w**3 + 0*w**2 + 0 = 0. Calculate w.
-1, -1/4, 0
Let j be ((-2)/(-45))/(12/15). Let z(f) be the second derivative of 0*f**2 + 1/30*f**5 + 0 + 1/45*f**6 - j*f**4 - 2*f - 1/9*f**3. Factor z(h).
2*h*(h - 1)*(h + 1)**2/3
Suppose h - 4 = -2*c, -5*h - 1 = 2*c + c. What is x in 1/2 - 1/4*x**c + 0*x**2 + 3/4*x = 0?
-1, 2
Let k = 31 + -32. Let j be (2/3)/(3 + k). Solve -1/2*r + 1/6*r**2 + j = 0.
1, 2
Determine b, given that -3*b**4 + 6 - 2*b - 13*b + 9*b**2 + 0 + 3*b**3 = 0.
-2, 1
Suppose 5*d = 6*d - 2. Suppose -2*t + 6 - d = 0. Factor 0 - 1/3*j**t - 1/3*j.
-j*(j + 1)/3
Let t(x) be the third derivative of -x**8/30240 + x**7/7560 + x**5/60 - 2*x**2. Let h(k) be the third derivative of t(k). Find q, given that h(q) = 0.
0, 1
Suppose -5 = -3*j + 1. Factor -11/5*h**3 - 13/5*h**j + 0 - 2/5*h.
-h*(h + 1)*(11*h + 2)/5
Let z(d) be the first derivative of -3*d - 1/6*d**4 + 1/3*d**3 + 0*d**2 - 1/10*d**5 + 1 + 1/15*d**6. Let y(m) be the first derivative of z(m). Factor y(i).
2*i*(i - 1)**2*(i + 1)
Let r(s) be the second derivative of -3*s**5/80 - s**4/8 - s**3/8 - 13*s. Factor r(b).
-3*b*(b + 1)**2/4
Suppose -7 = -l + 6. Let p = l - 10. Factor -2/3*b - 2/3*b**2 + 2/3*b**p + 2/3.
2*(b - 1)**2*(b + 1)/3
Factor -2/15*h**4 + 2/5*h**2 + 0*h**3 + 4/15*h + 0.
-2*h*(h - 2)*(h + 1)**2/15
Let x(i) = i**3 + 5*i**2 + 3*i - 2. Let y be x(-4). Suppose -f**2 - 1 + 2*f**2 - 2*f - 2*f**y = 0. Calculate f.
-1
Let q be (44/10)/((-2)/10). Let j = -19 - q. Let -5/2*i**j + 1 - 7/2*i + 1/2*i**4 + 9/2*i**2 = 0. Calculate i.
1, 2
Let -2*d - d**3 - 2*d**3 - 2*d**2 + 7*d**2 = 0. What is d?
0, 2/3, 1
Let d(f) = 5*f**4 - 13*f**3 - 5*f**2 + 13*f - 3. Let x(p) = -p**4 + p**3 + p**2 - p + 1. Let r(c) = d(c) + 3*x(c). Determine h so that r(h) = 0.
-1, 0, 1, 5
Suppose -v + 2 = -2*i + 10, 0 = 3*i + 2*v - 5. Let -z**3 - 19*z**3 - 3 - 9*z**2 - 11*z + 26*z - 7*z**i = 0. Calculate z.
-1, 1/3
Let q = 5006/6853 - 2/623. Factor 2/11*h**2 + q*h + 6/11.
2*(h + 1)*(h + 3)/11
Let d = -2 - 2. Let m = -2 - d. Suppose -6*n**5 + 8*n**5 + 4*n - n**m - 2*n**4 + 3*n**2 - 6*n**3 = 0. What is n?
-1, 0, 1, 2
Let w(i) be the second derivative of -i**9/3024 + i**8/1680 - i**3/6 + i. Let h(n) be the second derivative of w(n). Solve h(a) = 0.
0, 1
Let a(c) = 2*c - c**3 - 8 + 3 + 6. Let r be a(-1). Factor -1/2*z**3 + 1/2*z + r + 0*z**2.
-z*(z - 1)*(z + 1)/2
Let g(o) = o + 12. Let z be g(-6). Let h be (24/20)/((-2)/(-10)). Determine t so that h - z - 3*t**2 - 3*t = 0.
-1, 0
Let k(q) = -q**3 - 20*q**2 - 4*q - 5 + 14*q**