4*k**f = 0. Calculate k.
-1, 0
Let q = -111 + 113. Suppose r = -r - q*g - 2, 4*g + 12 = 0. What is p in -9/2*p**3 - 1/2*p**5 + 5/2*p**4 + 0 + 7/2*p**r - p = 0?
0, 1, 2
Suppose -5*f - 3*j + 2*j = -18, -5*f + 5*j = 0. Find z such that 0*z**2 + 4*z**2 - 33*z**4 + 69*z**4 - 24*z**f = 0.
0, 1/3
Let g(w) = w**5 - w**4 - w**3 - w**2. Suppose 0 = -2*s - 34 + 10. Let t(q) = -16*q**5 + 16*q**4 + 24*q**3 - 8*q**2 + 8*q. Let r(o) = s*g(o) - t(o). Factor r(u).
4*u*(u - 1)**3*(u + 2)
Suppose 25*o - 58 = 17. Let x be (-3)/(-4) - (-2)/8. Factor -2*w**o - 3*w**2 - x + 1 - w**3 + 6*w.
-3*w*(w - 1)*(w + 2)
Let d(r) be the first derivative of -r**5 + 10*r**4 + 215*r**3/3 + 145*r**2 + 120*r - 429. Factor d(b).
-5*(b - 12)*(b + 1)**2*(b + 2)
Let u(s) be the first derivative of -s**6/27 + 2*s**5/9 - 7*s**4/18 + 2*s**3/9 + 97. Determine o so that u(o) = 0.
0, 1, 3
Let u(a) be the third derivative of 7*a**6/900 - a**5/60 - a**4/30 + 3*a**3 - 22*a**2. Let c(i) be the first derivative of u(i). Find v such that c(v) = 0.
-2/7, 1
Let l(h) = -12*h**3 + 37*h**2 - 144*h + 126. Let v(j) = -19*j**3 + 55*j**2 - 216*j + 188. Let z(r) = 8*l(r) - 5*v(r). Suppose z(t) = 0. Calculate t.
2, 17
Suppose 0 - 32*x - 53 - 1472*x**2 - 32*x + 1471*x**2 - 10 = 0. What is x?
-63, -1
Let j(v) be the third derivative of 0*v - 3/2*v**3 - 1/60*v**5 + 19*v**2 + 1/4*v**4 + 0. Let j(n) = 0. Calculate n.
3
Let h be ((-115)/10)/(1*11/322). Let f = h + 337. Factor -f*y + 0*y**2 + 2/11 + 4/11*y**3 - 2/11*y**4.
-2*(y - 1)**3*(y + 1)/11
Let k(z) = 18*z + 472. Let y be k(-26). Let r(m) be the first derivative of 0*m**y + 0*m + 0*m**3 + 0*m**2 - 1/5*m**5 + 12. Factor r(d).
-d**4
Factor -3*g**3 + 15/4*g**2 + 0 + 3/4*g**4 - 3/2*g.
3*g*(g - 2)*(g - 1)**2/4
Let r(n) = n - 1. Let w(o) be the third derivative of o**7/42 - o**6/8 - o**5/12 + 7*o**4/12 + o**3/6 - 33*o**2. Let h(f) = r(f) + w(f). Factor h(l).
5*l*(l - 3)*(l - 1)*(l + 1)
Let o(c) be the third derivative of 0 + 2/105*c**7 - 6*c**2 + 0*c**3 + 0*c + 1/168*c**8 + 0*c**6 - 1/12*c**4 - 1/15*c**5. Factor o(y).
2*y*(y - 1)*(y + 1)**3
Determine d, given that 0*d + 2/7 - 2/7*d**2 = 0.
-1, 1
Let f be (-7 - 32) + (2 - 0). Let a = f + 37. Factor 0 + a*i**2 + 2/9*i**3 - 2/9*i.
2*i*(i - 1)*(i + 1)/9
Let d(j) be the second derivative of j**6/120 - 3*j**5/20 + 5*j**4/8 + 25*j**3/6 - 375*j**2/8 + 12*j + 10. Factor d(t).
(t - 5)**3*(t + 3)/4
Suppose -10*m + 5*m + 10 = 0. Let k(o) be the first derivative of o**3 + 0*o + 3/5*o**5 + 0*o**m + 3/2*o**4 + 4. Solve k(z) = 0.
-1, 0
Let o be (-5)/7*382/(-955). Solve 0 - o*h**2 - 6/7*h = 0 for h.
-3, 0
Let m be 30/(-7) - 10/(-35). Let d(a) = -6*a**3 + 9*a**2 - 18. Let u(g) = -7*g**3 + 8*g**2 + g - 18. Let f(r) = m*d(r) + 3*u(r). Let f(k) = 0. Calculate k.
-1, 2, 3
Let v(j) be the first derivative of j**6/720 - j**5/120 - 2*j**3/3 - 7. Let l(s) be the third derivative of v(s). Factor l(c).
c*(c - 2)/2
Suppose 2*z + g - 5 = 0, -5*g = -5*z + 61 - 26. Let h(s) be the second derivative of -2/9*s**z + 0*s**2 + 0 + s - 2/9*s**3. Factor h(j).
-4*j*(2*j + 1)/3
Suppose -5*j - 37354 - 7261 = 0. Let s = 35935/4 + j. Factor -9*r**3 + 3/4*r**4 + 81/2*r**2 - 81*r + s.
3*(r - 3)**4/4
Let o be (-2)/28 + 4510/20020. Let i be 1/4 - 10/104. Factor o*q - i*q**3 + 4/13*q**2 - 4/13.
-2*(q - 2)*(q - 1)*(q + 1)/13
Let g = 28492 + -142448/5. Factor 3/5*b**4 - 6/5*b + 9/5 - g*b**2 + 6/5*b**3.
3*(b - 1)**2*(b + 1)*(b + 3)/5
Let f = -1/3125 - -3128/9375. Suppose 0 = -2*a - 6, 5*j - a + 2*a - 7 = 0. What is k in 2/3 - f*k**j - 1/3*k = 0?
-2, 1
Factor -791*j**4 + 787*j**4 - 4*j**5 - 2*j**3 - 4 + 8*j**2 - 4*j + 10*j**3.
-4*(j - 1)**2*(j + 1)**3
Let p(k) = -13*k**5 - 10*k**4 + 4*k**3 + k**2 - 9*k + 9. Let t(s) = -s**5 - s**4 - s + 1. Let v = -19 + 37. Let i(g) = v*t(g) - 2*p(g). Let i(l) = 0. What is l?
-1, -1/4, 0, 1
Let j(u) = 8*u**3 - 6*u**2 + 6*u - 2. Let q(i) = -7*i**3 + 6*i**2 - 6*i + 2. Suppose 2 = -9*n - 52. Let x(s) = n*q(s) - 5*j(s). Let x(f) = 0. What is f?
1
Let h(g) be the first derivative of g**4/2 + 86*g**3/15 - 18*g**2/5 + 328. Factor h(p).
2*p*(p + 9)*(5*p - 2)/5
Let j(f) = -2*f. Let r(a) = -a**2 - 3*a - 10. Let v(h) = 20*j(h) - 4*r(h). Solve v(z) = 0.
2, 5
Let h(k) = -2*k**2 - k - 2. Let n be h(-2). Let f(u) = -u**3 - 8*u**2 + u + 11. Let o be f(n). Factor 3*j**3 - 10*j**3 + 3*j**o.
-4*j**3
Let r(n) = 2*n**3 + 448*n**2 - 1366*n - 905. Let i be r(-227). Let q be (-1)/(-3) + 1 + 0. Factor -16/3*c - 19/3*c**i - 7/3*c**4 - 25/3*c**2 - q - 1/3*c**5.
-(c + 1)**3*(c + 2)**2/3
Determine o, given that 0 + 8/3*o**3 + 0*o - 2/3*o**5 + 0*o**2 + 2*o**4 = 0.
-1, 0, 4
Let p = -2704 + 2707. Let -3/5*i**2 + 0*i - 3/5*i**4 + 6/5*i**p + 0 = 0. What is i?
0, 1
Let l be (-2)/8 + 361/(-76). Let v(t) = -t**5 - t**4 - 5*t**2 + 5*t + 5. Let h(m) = -m**5 - m**4 - 7*m**2 + 7*m + 7. Let n(r) = l*h(r) + 7*v(r). Factor n(g).
-2*g**4*(g + 1)
Let m(r) = -2*r**3 - 6*r**2 - 2*r - 1. Let t(s) = -s**2 - 1. Suppose 0 = 2*g + 2*g - 12. Let d(x) = g*m(x) - 3*t(x). Factor d(o).
-3*o*(o + 2)*(2*o + 1)
Let t(r) be the first derivative of -2*r**3/21 - 2*r**2/7 + 6*r/7 - 492. Factor t(h).
-2*(h - 1)*(h + 3)/7
Suppose -4*r - 3*n + 2 = -13, -3*n - 33 = -4*r. Determine s, given that r*s**2 - 303*s + 283*s - s**2 = 0.
0, 4
Let a be (-70)/805 + 4/46. Let i(k) be the second derivative of -1/60*k**5 - 1/18*k**4 + 2*k + a + 1/18*k**3 + 1/3*k**2. Factor i(o).
-(o - 1)*(o + 1)*(o + 2)/3
Let i(d) be the first derivative of -d**5/50 + 17*d**4/120 - d**3/3 + d**2/5 - 43*d + 39. Let r(v) be the first derivative of i(v). Factor r(g).
-(g - 2)**2*(4*g - 1)/10
Suppose -20 = -4*f - 4. Suppose 5*o - 13 = -k, 22 = f*o + 2*k - 7*k. Factor -2*l**2 - l + 3*l + o - 1 - 2*l**3.
-2*(l - 1)*(l + 1)**2
Let r(g) be the second derivative of 3/5*g**5 - 8*g**2 - 16/3*g**4 + 34/3*g**3 + 8*g + 0. Let r(m) = 0. What is m?
1/3, 1, 4
Let o(w) = 8*w**3 + 20*w**2 - 31*w + 3. Let a(g) = g**3 - 1. Let i(x) = -15*a(x) + 3*o(x). Factor i(v).
3*(v - 1)*(v + 8)*(3*v - 1)
Suppose 0 = 4*f - a - 2*a + 163, -5*f - 5*a - 195 = 0. Let n be ((-8)/(-7))/(f/(-28)). Solve 0 - 2/5*s**2 + n*s = 0.
0, 2
Factor 70*k + 70*k - 6 + 0 - 7*k**3 + 5*k**2 + k**4 - 133*k.
(k - 6)*(k - 1)**2*(k + 1)
Let w = -39 + 41. Factor 0*m - 8*m**3 + 12*m + 0*m**3 - 4*m**3 - 4 + 4*m**w.
-4*(m - 1)*(m + 1)*(3*m - 1)
Let z(a) be the first derivative of a**4/10 - 2*a**3/3 + 7*a**2/5 - 6*a/5 + 125. Find x such that z(x) = 0.
1, 3
Let p(s) be the second derivative of -s**4/28 + 15*s**3/14 + 81*s**2/7 + 345*s. Find q such that p(q) = 0.
-3, 18
Let v = 5/8 - 11/24. Let s(r) be the first derivative of 0*r + 7 - 1/3*r**3 - v*r**2 + 1/12*r**4 + 1/5*r**5. What is n in s(n) = 0?
-1, -1/3, 0, 1
Suppose 0 = 3*k - 10 + 1, -2*t + 3*k - 9 = 0. Let w(z) be the second derivative of t*z**3 - 6/5*z**2 + 3/20*z**4 - 3*z + 0 + 3/100*z**5. Factor w(v).
3*(v - 1)*(v + 2)**2/5
Let c be 4 + (-16)/4 + 1 - 190/228. Let d = 14 + -83/6. Factor d*l + 1/3 - 1/3*l**2 - c*l**3.
-(l - 1)*(l + 1)*(l + 2)/6
Find l such that 0 + 1/2*l**3 - 1/2*l + 0*l**2 = 0.
-1, 0, 1
Suppose 0 = v - 3*c + 15, 5*c = 2*v + 45 - 20. Let a = -314/7 - -45. Find p, given that v + a*p**2 + 0*p = 0.
0
Factor 9630 + 4*c**2 + 16732 - 7174 + 26980 - 808*c - 5364.
4*(c - 101)**2
Suppose 3*f + 5*j = 19, -4*f + 8*f - 30 = -2*j. Let h(s) be the first derivative of 1/7*s**3 + 27/7*s - f - 9/7*s**2. Factor h(u).
3*(u - 3)**2/7
Let y be 30/(-6) + ((-45)/(-12))/(6/8). Find u, given that 0*u + 0*u**2 + y + 5/4*u**4 - 1/2*u**3 + 3/4*u**5 = 0.
-2, 0, 1/3
Let w(t) = -t**3 - 5*t**2 - 2*t + 5. Let m be w(-4). Let j be 1*(6 + m - 3). Solve 31 + j*l + 30*l - 75*l**2 - 34 = 0 for l.
1/5
Let r(u) = 9*u**2 - 3*u - 12. Suppose 20 = 4*g + 4*h, 5*h + 15 = 3*g - 0*g. Let y(v) = 8*v**2 - 2*v - 11. Let j(b) = g*r(b) - 6*y(b). Solve j(w) = 0 for w.
-2, 1
Suppose 3*m - 381 = -3*i, -5*i + 678 = 4*m + 168. Determine y so that 28*y**5 + 125*y - m*y - 48*y**2 + 36*y**4 - 160*y**3 = 0.
-3, -2/7, 0, 2
Let u(v) be the first derivative of 1 + 1/4*v**4 - 1/2*v**3 + 0*v**2 + 3*v. Let c(g) be the first derivative of u(g). Solve c(t) = 0 for t.
0, 1
Let s be -33 - -30 - (-3 + -2). Factor 2/13*a**s + 8/13 - 8/13*a.
2*(a - 2)**2/13
Suppose -80*y - 3*y**2 - 104*y - 68*y - 2753 - 2344 - 195 = 0. Calculate y.
-42
Let w(c) = 2*c - 3 - c - 3*c + c. Let f be w(-8). Deter