*2 + 6*x**3 - x**3.
x*(x + 2)*(7*x - 2)
Let d = 13/33 - -3/11. Let f(p) = 3*p + 38. Let m be f(-11). Suppose 0*g**3 - 4/3*g**2 - d*g**m + 2/3*g + 0 + 4/3*g**4 = 0. What is g?
-1, 0, 1
Let w**3 - 1/5*w**4 - 1/5*w**5 + 0 - 3/5*w**2 + 0*w = 0. What is w?
-3, 0, 1
Let j be (3212/1120)/(-11) - (-8)/28. Let b(g) be the second derivative of -9*g - 5/12*g**3 - 1/2*g**2 - j*g**5 + 0 - 1/6*g**4. Let b(d) = 0. What is d?
-2, -1
Let r(y) be the first derivative of y**6/27 + 16*y**5/45 + y**4 + 32*y**3/27 + 5*y**2/9 + 179. Solve r(u) = 0.
-5, -1, 0
Let b be 0/(48/(-30) - 6/15). Suppose b*j - j = j. Factor 2/3*q**3 + j + 2/3*q + 4/3*q**2.
2*q*(q + 1)**2/3
Let k(r) = r**3 - r**2 - 3*r + 5. Let c be k(2). Factor 2*s**3 + 8*s**c + 9*s**2 + 5*s**3 + 6*s - 30*s**2.
3*s*(s - 1)*(5*s - 2)
Let o(x) be the third derivative of 7*x**5/15 - 13*x**4/6 - 4*x**3/3 + 53*x**2. Factor o(r).
4*(r - 2)*(7*r + 1)
Let j(p) be the second derivative of 7*p**5/4 + 205*p**4/6 - 20*p**3 + 258*p. Suppose j(f) = 0. What is f?
-12, 0, 2/7
Let y(f) be the first derivative of -2/27*f**3 - 1/54*f**4 - 1 + 1/3*f**2 + 4*f. Let w(g) be the first derivative of y(g). Factor w(u).
-2*(u - 1)*(u + 3)/9
Solve -34/5*y - 36/5 + 2/5*y**2 = 0 for y.
-1, 18
Determine k, given that 27/2*k**2 - 3*k**3 - 3/2*k**4 - 12 + 3*k = 0.
-4, -1, 1, 2
Let c(j) be the first derivative of -j**6/54 + 17*j**5/9 + j**4/36 - 85*j**3/27 - 150. Suppose c(x) = 0. What is x?
-1, 0, 1, 85
Factor 2/7*i**3 - 40/7 + 4/7*i**2 - 38/7*i.
2*(i - 4)*(i + 1)*(i + 5)/7
Let w = -952 + 955. Suppose 3*y - 4*x = -14, 2*y = 3*y - 2*x + 8. Solve -1 + 9*b**y + 10 - 3*b**w - 5 - 1 - 9*b = 0.
1
Let v = -46 - -50. Factor 2*y + 0*y**2 - 3*y + y**3 - 1 - y**v + 3*y**2 - 1.
-(y - 2)*(y - 1)*(y + 1)**2
Let q(m) = -19*m**2 - 2 + 0 + 2 - 1 - 11*m. Let y(u) = -9*u**2 - 6*u - 1. Let r(a) = 4*q(a) - 9*y(a). Factor r(p).
5*(p + 1)**2
Suppose 82 = 16*f - 14. Let y(n) be the first derivative of 0*n**2 + 0*n + f + 1/20*n**4 - 2/15*n**3. Factor y(g).
g**2*(g - 2)/5
Suppose 0 = 21*j + 608 - 692. Let h(k) be the first derivative of 0*k + 4/7*k**3 + j + 2/7*k**2 - 9/28*k**4 - 1/5*k**5. Let h(p) = 0. What is p?
-2, -2/7, 0, 1
Let v(t) = t**4 - t**3 - 4. Let z(o) = 2*o**4 + 26*o**3 - 36*o**2 - 152*o + 136. Let a(u) = 6*v(u) - z(u). Find d, given that a(d) = 0.
-2, 1, 4, 5
Let x(z) be the second derivative of z**7/1400 - z**6/600 + 5*z**3/6 + 12*z. Let m(l) be the second derivative of x(l). Factor m(k).
3*k**2*(k - 1)/5
Let i(t) = -t**2 - 10*t - 19. Let x be i(-8). Let a be x/2*8/(-3). Determine q so that -67*q**3 - 4*q + 3*q**3 + 3*q**a - 34*q**2 - 16*q**3 - 35*q**4 = 0.
-2, -1/4, 0
Let u(s) be the first derivative of 13/18*s**3 - 3 - 1/4*s**4 + 1/30*s**5 - s**2 + 2/3*s. Let u(x) = 0. What is x?
1, 2
Let t be (-10 - -12)*(1 - -13)/7. Factor -8/5 - t*n**2 - 28/5*n.
-4*(n + 1)*(5*n + 2)/5
Let n = 3713/1652 + 9/236. Solve 20/7*r**2 - n*r**5 + 4/7*r + 0 - 20/7*r**4 + 12/7*r**3 = 0 for r.
-1, -1/4, 0, 1
Let l(v) = -v**2 + 3*v + 1. Let s(w) be the third derivative of w**4/24 - 6*w**2. Suppose -3*z - 4 = 2. Let f(n) = z*l(n) + 6*s(n). Let f(h) = 0. Calculate h.
-1, 1
Factor 24/5*p**3 - 48/5*p + 0*p**2 + 0 - 3/5*p**5 + 0*p**4.
-3*p*(p - 2)**2*(p + 2)**2/5
Suppose 2*w - 34 = 2*p, 2*w - 12 = -2*w. Let u be 3/(-2)*-4*(-1)/p. Let -3/7*a**4 + 6/7*a**2 - 6/7*a**3 - u + 3/7*a**5 + 3/7*a = 0. Calculate a.
-1, 1
Let q(r) = -r**2 + 20*r + 1. Let v be q(20). Let i be v/(-5)*-1 + (-99)/(-55). Solve 1/5*u**i + 0 + 2/5*u - 1/5*u**3 = 0 for u.
-1, 0, 2
Let v(p) be the third derivative of p**5/60 + 7*p**4/12 - 16*p**3/3 + 10*p**2 + 5. Factor v(k).
(k - 2)*(k + 16)
Suppose -q + 3*q - 5*c = -9, -c = 1. Let z(o) = -4*o - 4. Let m be z(q). Factor -3*k + 2*k**2 - k + m*k + 50.
2*(k + 5)**2
Suppose -10*v + 20 = -6*v. Factor -387 + m**4 + m**3 - m**2 - m**v + 387.
-m**2*(m - 1)**2*(m + 1)
Let z(l) be the second derivative of l**5/5 - 4*l**4/3 + 10*l**3/3 - 4*l**2 - 7*l - 1. Solve z(m) = 0.
1, 2
Let j(r) be the first derivative of -r**6/1800 - 23*r**3/3 + 8. Let v(t) be the third derivative of j(t). Factor v(n).
-n**2/5
Let h = 0 + 2. Let q = -4255/6 - -4259/6. Factor 0 + 2/3*s + 8/3*s**4 + q*s**5 + 8/3*s**h + 4*s**3.
2*s*(s + 1)**4/3
Suppose -b - 3*o + 14 = -2*b, 0 = -5*b + o. Let m be 10/b + -3 - 1. Factor 2*z**2 - 6*z + m*z**3 - 5*z**2 + 0*z + 3*z**4.
3*z*(z - 1)*(z + 1)*(z + 2)
Let v = -646/77 - -60/7. Let -2/11 - v*k**2 - 4/11*k = 0. What is k?
-1
Let t(d) = d**3 - 108*d**2 - 110*d + 112. Let r be t(109). Factor 1/4*s**4 + 1 + r*s + 3/2*s**3 + 13/4*s**2.
(s + 1)**2*(s + 2)**2/4
Let g(u) = u**4 + 46*u**3 + 288*u**2 - 30*u - 289. Let l(c) = 3*c**3 + c. Let f(m) = -g(m) + 4*l(m). Suppose f(q) = 0. Calculate q.
-17, -1, 1
What is d in 0 - 39/7*d**4 - 9/7*d**5 + 39/7*d**3 + 39/7*d**2 - 30/7*d = 0?
-5, -1, 0, 2/3, 1
Determine a so that -3/4*a**5 - 33/2*a**4 - 336*a**2 - 147/4*a + 1029/2 - 249/2*a**3 = 0.
-7, -2, 1
Let c(d) be the second derivative of -d**7/147 - 2*d**6/35 - d**5/5 - 8*d**4/21 - 3*d**3/7 - 2*d**2/7 + 2*d + 2. Determine n, given that c(n) = 0.
-2, -1
Let r(j) be the third derivative of -j**5/60 + j**4/24 - j**3/6 - 33*j**2. Let f(o) = -2*o**3 + 2*o**2 + 2. Let c(u) = f(u) + 2*r(u). Let c(w) = 0. Calculate w.
-1, 0, 1
Let m(n) be the first derivative of 4/5*n**2 + 1/15*n**3 - 13 + 16/5*n. Factor m(h).
(h + 4)**2/5
Suppose -50*j - 5/4*j**2 + 105 = 0. Calculate j.
-42, 2
Let m = -2/7659 + 7679/76590. Factor 1/10*h**2 - m*h - 1/5.
(h - 2)*(h + 1)/10
Suppose 3*d + 5*s - 10 = 0, s + 3 - 22 = -4*d. Let i(m) be the third derivative of -1/90*m**d + 0*m + 1/180*m**6 + 0 + 0*m**4 + 0*m**3 + 6*m**2. Factor i(x).
2*x**2*(x - 1)/3
Suppose 188/7*a**2 + 192/7*a + 64/7 - 12/7*a**4 + 52/7*a**3 - 4/7*a**5 = 0. What is a?
-4, -1, 4
Let n(r) be the third derivative of -r**6/30 - 2*r**5/15 + 11*r**4/6 + 8*r**3 - r**2 - 91*r. Suppose n(a) = 0. Calculate a.
-4, -1, 3
Suppose -65/3 - 587/6*n - 3/2*n**2 = 0. Calculate n.
-65, -2/9
Let k(m) be the first derivative of -m**3/3 + m**2 - 3*m + 354. Let p(c) = -5*c + 8 + 0*c**2 + 3*c**2 - 1. Let g(q) = 5*k(q) + 2*p(q). Factor g(a).
(a - 1)*(a + 1)
Determine r, given that -2/11*r - 2/11*r**2 + 12/11 = 0.
-3, 2
Let r be 7 + (-21)/(-9)*462/147. Let -3 - r*z**2 + 23*z + 7/3*z**3 = 0. What is z?
1/7, 3
Let b(i) be the third derivative of -i**5/30 - i**4/24 - 11*i**2 - 3. Find z, given that b(z) = 0.
-1/2, 0
Let 164/3*q**2 + 0 + 1/3*q**3 + 6724/3*q = 0. What is q?
-82, 0
Suppose -g + 5 = t, -4 = -4*g + 4*t - 0*t. Let z(p) be the second derivative of 1/15*p**g + 7/50*p**5 + 0 + 0*p**2 - 1/6*p**4 + 6*p - 1/25*p**6. Factor z(o).
-2*o*(o - 1)**2*(3*o - 1)/5
Let j(h) = -7*h + 3*h + 14 + 2*h. Let y be j(7). Factor 0 - 3/4*n + y*n**2 + 3/4*n**3.
3*n*(n - 1)*(n + 1)/4
Let o(b) be the first derivative of -b**6/13 + 172*b**5/65 + 107*b**4/13 + 64*b**3/13 - 7*b**2 - 124*b/13 + 676. What is g in o(g) = 0?
-1, 2/3, 31
Let t be (-9)/6 + 14/4. Let u = -506/5 + 102. Find l such that 0*l**3 + 0*l + 2/5*l**4 + 2/5 - u*l**t = 0.
-1, 1
Let x = 24 + -18. Let r be (-1)/x - 560/(-1056). Solve -r*d + 24/11*d**3 + 0 - 14/11*d**4 - 6/11*d**2 = 0 for d.
-2/7, 0, 1
Let l(v) be the second derivative of -v**7/11340 - v**6/1620 - v**5/540 + 9*v**4/4 + 14*v. Let z(p) be the third derivative of l(p). Factor z(d).
-2*(d + 1)**2/9
Suppose 46*d - 24 = 20*d + 14*d. Factor -4/5*u**3 + 4/5*u**d + 0 + 0*u.
-4*u**2*(u - 1)/5
Let n = 24 + -22. Solve 34 - 8*u - 10 - 4*u**n - 12 = 0.
-3, 1
Let x(y) be the first derivative of 2*y**5/5 + y**4/2 - 4*y**3 - 4*y**2 + 16*y + 84. Factor x(l).
2*(l - 2)*(l - 1)*(l + 2)**2
Let s(m) be the first derivative of -m**3/6 + 21*m**2/2 - 441*m/2 + 527. Let s(n) = 0. What is n?
21
Suppose 60/7*w + 3/7*w**3 + 0 + 36/7*w**2 = 0. Calculate w.
-10, -2, 0
Suppose -2*w = 2*w - 24. Suppose s = 3*s - w. Factor 4*g**4 + 0*g**4 - s*g**4 - g**3 + 2*g**3.
g**3*(g + 1)
Let p(v) = v**2 - 17*v**3 + 11*v**3 + 0*v + v + 5*v**3 + 5. Let y(n) = n**3 - n - 4. Let t(a) = -2*p(a) - 3*y(a). Factor t(q).
-(q - 1)*(q + 1)*(q + 2)
Let u be 92/36 - 40/(-90). Suppose 2/9*z**u - 2/3*z - 4/9*z**2 + 0 = 0. What is z?
-1, 0, 3
Let a(t) be the second derivative of 0*t**2 + 1/150*t**5 + 1/900*t**6 + 0 + 1/60*t**4 + t - t**3. Let w(o) be the second derivative of a(o). Factor w(l).
2*(l + 1)**2/5
Let y(j) be t