*h**5 - 752*h = 0 for h.
-2, 2/7, 1, 3
Let d(r) = -16*r**2 - 9*r - 2*r + 7*r + 11 - 10*r. Let j(h) = 3*h**2 + 3*h - 2. Let p(g) = -2*d(g) - 11*j(g). Let p(u) = 0. What is u?
-5, 0
Let g be (196/(-42))/((-2)/3). Suppose -4*o + 5*u + g = -0, 3*u = 3. Solve -8*v**2 + v**5 + 6*v**2 + v + v**3 + 2 - 3*v**o + v**4 - 1 = 0.
-1, 1
Let o(u) = u - 5. Let t be o(8). Let x be 0/(-4) + (-24)/(-2). Factor -d**2 + 7*d**2 + x + 12*d - t*d**2.
3*(d + 2)**2
Let f = -15/101 + -8929/404. Let j = -22 - f. Factor 3/4 - 1/2*p**2 - j*p**4 - p**3 + p.
-(p - 1)*(p + 1)**2*(p + 3)/4
Suppose 163*m = -3*m - 16*m - 49*m. Let -18/7*z**2 - 4/7*z + m - 8/7*z**3 = 0. What is z?
-2, -1/4, 0
Let g(x) = 2*x - 15. Let z be g(0). Let r be z/(-6) - 1/(-2). Factor -r - 3*a**2 - 3*a - 3*a - a + a.
-3*(a + 1)**2
Let u(p) be the second derivative of 0*p**2 + 0*p**3 + 0 - 3/80*p**5 - 23*p - 1/16*p**4. Factor u(w).
-3*w**2*(w + 1)/4
Let j(h) be the third derivative of h**7/70 - h**6/10 - h**5/20 + h**4/2 - 2*h**2 - 30. Find p such that j(p) = 0.
-1, 0, 1, 4
Let t(z) be the first derivative of 5*z**6/4 + 3*z**5/10 - 21*z**4/4 + 4*z**3 + 201. What is b in t(b) = 0?
-2, 0, 4/5, 1
Let y(l) be the first derivative of l**4/4 - 7*l**3/3 + 11*l**2/2 - 25*l - 79. Let p be y(6). Factor p - 25/2*k**2 + 15/2*k.
-5*(k - 1)*(5*k + 2)/2
Let m(v) be the third derivative of -v**7/560 + v**6/320 + v**5/40 - v**4/16 + 43*v**2 + 3. What is b in m(b) = 0?
-2, 0, 1, 2
Let n(b) be the third derivative of 1/42*b**7 + 0*b + 0*b**4 + 0*b**3 - 16*b**2 + 1/12*b**6 + 1/12*b**5 + 0. Factor n(a).
5*a**2*(a + 1)**2
Factor -k**3 + 9*k**3 - 5*k**3 - 7*k**2 - 2*k**3.
k**2*(k - 7)
Let z(t) be the second derivative of 0 - 1/6*t**4 - 1/15*t**5 + 4/3*t**3 - 2*t**2 + t. Let a(d) be the first derivative of z(d). Factor a(j).
-4*(j - 1)*(j + 2)
Let x(m) = 21*m**4 - 58*m**3 + 3*m**2 + 45*m - 24. Let a(r) = -5*r**4 + 14*r**3 - r**2 - 11*r + 6. Let o(y) = 26*a(y) + 6*x(y). Factor o(n).
-4*(n - 3)*(n - 1)**2*(n + 1)
Let i(s) be the first derivative of -s**4/16 - s**3/3 + 16*s**2 + 192*s + 60. Factor i(k).
-(k - 12)*(k + 8)**2/4
Let y(c) be the first derivative of -7/6*c**6 + 8/3*c**3 + 0*c + 2/5*c**5 - 5 - 2*c**2 + 21/4*c**4. Find f, given that y(f) = 0.
-1, 0, 2/7, 2
Suppose -14*h = -9*h - 15. Let x be (-141)/(-63) - (48/28)/h. Determine k, given that -7*k**2 - x*k**4 - 11/3*k - 17/3*k**3 - 2/3 = 0.
-1, -2/5
Let q(z) = 120*z**4 - 270*z**3 - 460*z**2 - 70*z + 35. Let c(j) = -7*j**4 + 16*j**3 + 27*j**2 + 4*j - 2. Let v(k) = 35*c(k) + 2*q(k). Factor v(u).
-5*u**2*(u - 5)*(u + 1)
Let o(q) be the first derivative of 121*q**6/27 + 506*q**5/45 + 28*q**4/3 + 8*q**3/3 - 158. Factor o(m).
2*m**2*(m + 1)*(11*m + 6)**2/9
Let s be (-1260)/6 - (-1 + -2 - -1). Let q = -1454/7 - s. Let 0 + 54/7*m**2 + 18/7*m**3 + q*m**4 + 54/7*m = 0. What is m?
-3, 0
Let z = 2326/3 + -9229/12. Suppose -z + 35/4*d + 1/4*d**3 - 11/4*d**2 = 0. What is d?
1, 5
Let m(p) be the third derivative of 4*p**3 + 0*p + 8/15*p**5 - 13/6*p**4 - 12*p**2 + 0 - 1/30*p**6. Factor m(f).
-4*(f - 6)*(f - 1)**2
Let k(z) be the first derivative of 0*z - 2/13*z**2 - 2/13*z**4 + 23 - 2/65*z**5 - 10/39*z**3. Factor k(t).
-2*t*(t + 1)**2*(t + 2)/13
Determine p so that 233*p + 24671 - 24671 - 3*p + 5*p**2 = 0.
-46, 0
Let l(r) be the second derivative of -r**6/135 - 2*r**5/45 + 7*r**4/18 - 4*r**3/27 - 28*r**2/9 + 82*r. Determine u, given that l(u) = 0.
-7, -1, 2
Suppose -117 = -8*s - 117. Factor -9/2*n**2 + 3/2*n**4 + 0*n**3 - 3*n + s.
3*n*(n - 2)*(n + 1)**2/2
Let v(i) be the first derivative of -i**5/4 + 9*i**4/8 + i**3 - 6*i**2 + 8. Let c(y) be the second derivative of v(y). Factor c(b).
-3*(b - 2)*(5*b + 1)
Let f(m) be the second derivative of -8*m - 1/720*m**6 + 1/6*m**3 + 0*m**2 + 1/240*m**5 + 0 + 1/24*m**4. Let y(z) be the second derivative of f(z). Factor y(h).
-(h - 2)*(h + 1)/2
Solve -21/4*h**5 + 0 + 0*h - 15/4*h**4 + 12*h**3 - 3*h**2 = 0 for h.
-2, 0, 2/7, 1
Let o = 2803/35 - 399/5. Determine r so that -74/7*r**3 - 20/7*r**4 - 32/7 - o*r**5 - 128/7*r**2 - 104/7*r = 0.
-4, -2, -1
Let k(u) be the third derivative of u**5/540 - 85*u**4/108 + 7225*u**3/54 - 9*u**2 + 7*u. Factor k(h).
(h - 85)**2/9
Suppose -112*t - 77 + 22138*t**4 + 34*t**3 + 12*t**2 + 6*t**3 - 3 - 22142*t**4 = 0. Calculate t.
-1, 2, 10
Let n(c) = 2*c + 48. Let d be n(-21). Find x such that -d + 0*x**3 + 3 - 5*x**2 + 230*x - x**3 - 237*x = 0.
-3, -1
Suppose -3*c = -6 - 0. Solve 17 + d**3 + 3*d**c - 8 + 3*d - 8 = 0 for d.
-1
Let k(q) be the second derivative of -q**7/63 + 4*q**6/225 + q**5/150 + 56*q. Factor k(s).
-2*s**3*(s - 1)*(5*s + 1)/15
Let t(y) = y**2 - y. Let c be t(1). Let o = -183 + 188. Factor c*d**2 + 0*d - 3/4*d**4 + 0 - 3/4*d**o + 3/2*d**3.
-3*d**3*(d - 1)*(d + 2)/4
Let p(m) be the first derivative of 5*m**3/3 + 10*m**2 + 15*m + 118. Factor p(c).
5*(c + 1)*(c + 3)
Suppose -5*w - 7*b + 2*b + 25 = 0, 0 = -5*w + 3*b + 25. Let k be 9/w - ((-12)/(-15) + -1). Solve 2*y**k + 2/3*y**3 - 8/3 + 0*y = 0 for y.
-2, 1
Suppose -l = -4*v - 7, -9 - 5 = -4*l + 2*v. Find k, given that -12*k - 7*k + 16*k + 6*k**3 - l*k**5 = 0.
-1, 0, 1
Factor -3*p**3 + p**4 - 139 + 139 - 4*p**4.
-3*p**3*(p + 1)
Let c(j) = j**3 - j**2. Let l(y) = 10*y**3 - 9*y**2. Suppose -s = 2 - 5. Let b(r) = s*l(r) - 21*c(r). Suppose b(h) = 0. What is h?
0, 2/3
Let u = 43 - 40. Let m(k) = k**3 + k**2 + 3. Let b be m(0). Find d such that -7*d - d**2 + 2*d**u + b*d - d**2 = 0.
-1, 0, 2
Let o be (12/14)/((3/(-21))/(-1)). Suppose x - 3*k - 14 = 0, -4*x + o*k + 16 = 4*k. Solve -3/5*y**3 - 6/5*y**x + 0 - 3/5*y = 0 for y.
-1, 0
Let z(m) be the third derivative of -2/5*m**6 - 2/15*m**7 + 5*m**2 + 0*m**3 + 5/3*m**5 - m**4 + 0 + 0*m. Factor z(h).
-4*h*(h - 1)*(h + 3)*(7*h - 2)
Let a(u) be the second derivative of u**5/5 + 4*u**4/3 - 8*u**3 + 103*u. Find s, given that a(s) = 0.
-6, 0, 2
Suppose 3*f + r + 22 = -80, 2*r = -5*f - 169. Let x = -104/3 - f. Factor x - 4/3*l**2 - l.
-(l + 1)*(4*l - 1)/3
Let u = 26 + -21. Suppose 5*r + 1 + 15 = 2*z, 4*r = u*z - 23. Let -4/3*q**5 + 1/3*q**2 + 11/3*q**4 + 0 + 1/3*q - z*q**3 = 0. Calculate q.
-1/4, 0, 1
Let t(w) be the first derivative of -w**6/24 - w**5/12 + 5*w**4/24 + 5*w**3/6 - 11*w**2 + 3. Let u(x) be the second derivative of t(x). Factor u(i).
-5*(i - 1)*(i + 1)**2
Suppose -5*m - 5 = -5*d, 0 = -m - 0*d - d + 3. Suppose 2*x - m = 5. Solve -29*t**2 - 27*t**x - 32*t - 10*t**2 - 38*t**2 - 4 - 22*t**3 = 0.
-1, -2/7
Let r = -12708 + 139790/11. Factor r*k**4 + 2/11*k**2 + 0 + 4/11*k**3 + 0*k.
2*k**2*(k + 1)**2/11
Let q(r) be the first derivative of 2*r**6/15 - 2*r**5/25 - 3*r**4/10 + 2*r**3/15 + r**2/5 + 85. Determine i so that q(i) = 0.
-1, -1/2, 0, 1
Let t(x) = x**3 + 12*x**2 + 28*x + 82. Let r be t(-10). Suppose 8/3*s - 2/3*s**4 + 2*s**r - 4/3*s**3 - 8/3 = 0. Calculate s.
-2, 1
Let y(u) be the third derivative of u**7/210 - 7*u**6/120 - 17*u**5/60 - 3*u**4/8 - 12*u**2 - 2. Factor y(k).
k*(k - 9)*(k + 1)**2
Let l(o) be the third derivative of -o**8/504 + o**7/63 - o**6/60 - o**5/18 + o**4/9 + 3*o**2 - 32*o. Suppose l(d) = 0. What is d?
-1, 0, 1, 4
Suppose -2*w = -2*d - 2, 3*d + 5 = 6*d - w. Let i(l) = -l**2 + 3*l. Let u be i(2). Let 3*r**2 + r**d + u*r - 3 + 3 = 0. What is r?
-2, -1, 0
Suppose 0 = -37*g + 25 + 49. Let i(x) be the first derivative of 0*x - 4/3*x**3 + 3/2*x**4 + 2 - 2/5*x**5 + 0*x**g. Factor i(f).
-2*f**2*(f - 2)*(f - 1)
Suppose -2*w = 5*b - b - 16, 5*w = 4*b - 2. Determine r so that 20/3*r**5 + 0 - 8/3*r - 2/3*r**4 - 40/3*r**2 - 18*r**b = 0.
-1, -1/2, -2/5, 0, 2
Let u(d) be the first derivative of 10 + 6*d + 0*d**3 - 1/10*d**5 + 1/30*d**4 + 0*d**2 + 4/75*d**6. Let i(a) be the first derivative of u(a). Factor i(p).
2*p**2*(p - 1)*(4*p - 1)/5
Let f be (-28)/(-7)*(-1)/(-4). Let t be (-85)/(-10)*f + -1. Factor 6 - t*s**2 - 12*s.
-3*(s + 2)*(5*s - 2)/2
Let y(u) be the third derivative of -u**8/1008 + 2*u**7/315 + u**6/45 - 7*u**5/90 - 7*u**4/72 + 5*u**3/9 + 220*u**2. Find r such that y(r) = 0.
-2, -1, 1, 5
Let r be (21/225)/((-9)/((-45)/2)). Let i(c) be the third derivative of -1/12*c**6 + r*c**5 - 1/4*c**4 + 4*c**2 + 0*c + 0*c**3 + 0 + 1/105*c**7. Factor i(o).
2*o*(o - 3)*(o - 1)**2
Let y be (10336/(-855))/16 + 4/(-40)*-12. Solve -y*k**2 + 0 + 4/3*k = 0 for k.
0, 3
Let l(r) be the second derivative of 1/120*r**6 +