+ 0 - t**2 = 0.
0, 5
Let g(l) be the third derivative of -l**8/42 - 19*l**7/105 + 61*l**6/60 - 7*l**5/15 + 82*l**2 - 2*l. What is u in g(u) = 0?
-7, 0, 1/4, 2
Suppose -2*i = 5*o + 74 - 90, o - 5*i = -13. Let h(c) be the first derivative of -1/3*c - 8 - 1/9*c**3 - 1/3*c**o. Factor h(b).
-(b + 1)**2/3
Let r(a) be the second derivative of 1/12*a**4 - 7/6*a**3 - 24*a + 0 + 0*a**2. Determine g so that r(g) = 0.
0, 7
Let w = 58 + -58. Let x(n) be the third derivative of w*n - 2*n**2 + 0 + 1/4*n**4 + 1/2*n**3 + 1/20*n**5. Factor x(j).
3*(j + 1)**2
Let a(r) = -19*r - 49*r**3 + 28*r**3 - 22*r**2 + 44*r**3 + 18*r. Let g(k) = 93*k**3 - 87*k**2 - 3*k. Let j = 7 + -3. Let x(w) = j*g(w) - 15*a(w). Factor x(u).
3*u*(3*u - 1)**2
Let x(l) be the third derivative of -l**7/126 + l**6/8 - 5*l**5/12 + 35*l**4/72 - l**2 - 5. What is y in x(y) = 0?
0, 1, 7
Let o(m) = 5*m**4 + 6*m**3 + 32*m**2 + 58*m + 31. Let f = 34 - 38. Let l(r) = 9*r**4 + 13*r**3 + 65*r**2 + 115*r + 61. Let i(v) = f*l(v) + 7*o(v). Factor i(c).
-(c + 1)*(c + 3)**3
Let t = 1872 - 3743/2. Determine v, given that 0 + t*v**2 - v = 0.
0, 2
Let w(s) be the third derivative of 0*s**4 - 1/80*s**5 + 0*s**3 - 2*s**2 + 0 + 1/160*s**6 + 0*s. Factor w(k).
3*k**2*(k - 1)/4
Let d = -9 + 2. Let g = d + 11. Factor -11*w + w**g - 2*w**3 + 6*w + 5*w.
w**3*(w - 2)
Let x = 30332/5 - 6066. Let 0 + 0*o + x*o**2 = 0. What is o?
0
Suppose 5*v - 6 = -1. Let n(z) = 2*z**2 - z + 1. Let j be n(v). Let 2*t - 2*t**j - 88*t**3 - 4*t + 2*t**4 + 90*t**3 = 0. Calculate t.
-1, 0, 1
Let h(w) be the second derivative of -w**6/30 - 17*w**5/10 - 21*w**4 + 108*w**3 - 79*w + 2. Let h(i) = 0. Calculate i.
-18, 0, 2
Solve 12800/17*k - 2/17*k**4 - 318/17*k**3 + 0 - 12480/17*k**2 = 0.
-80, 0, 1
Let b(z) be the first derivative of 1/20*z**4 - 3/10*z**2 - 4*z + 0*z**3 - 5. Let m(h) be the first derivative of b(h). Factor m(a).
3*(a - 1)*(a + 1)/5
Let k(t) = 10*t + 5. Let n be k(2). Solve -n*s**4 + 2*s**5 - 8*s**3 - 4*s**5 + 33*s**4 = 0 for s.
0, 2
Let l be (1379/98 - 7) + -7. Let v(r) be the first derivative of -4/21*r**3 - 1/7*r**2 + 0*r - l*r**4 + 7. Find t such that v(t) = 0.
-1, 0
Let w(z) be the second derivative of z**6/135 + z**5/18 + 7*z**4/54 + z**3/9 + 2*z - 19. Factor w(j).
2*j*(j + 1)**2*(j + 3)/9
Let j(i) be the first derivative of i**3/2 + 126*i**2 + 10584*i - 126. Factor j(c).
3*(c + 84)**2/2
Suppose -60/7*c**2 - 64/7*c - 16/7*c**3 - 22/7 + 2/7*c**4 = 0. Calculate c.
-1, 11
Let b be 4/(-18) + 96/189. Let t be 66/154*2/3. Factor 2/7*m**4 + 10/7*m**3 - t*m**2 - 8/7 - 16/7*m - b*m**5.
-2*(m - 2)**2*(m + 1)**3/7
Let l(j) be the second derivative of -3/5*j**5 + 0*j**3 + 0 - 15*j - 2/21*j**7 - 1/3*j**4 - 2/5*j**6 + 0*j**2. Find y such that l(y) = 0.
-1, 0
Let o(b) = b + 8. Let p be o(-4). Solve -36*y**2 + 36*y**2 + 6*y**p - y**4 + 20*y**3 = 0.
-4, 0
Let f(w) be the first derivative of w**3/15 + 2*w**2/5 + 4*w/5 - 145. Determine i so that f(i) = 0.
-2
Suppose 21*a - 12 - 72 = 0. Let k(s) be the third derivative of 6*s**2 + 0*s**5 + 0*s**3 + 1/315*s**7 + 0*s + 0*s**a + 0 + 1/180*s**6. Solve k(z) = 0.
-1, 0
Let r(h) be the third derivative of -h**7/1680 - 5*h**6/192 - 9*h**5/40 - 41*h**4/48 - 5*h**3/3 - 659*h**2. Solve r(t) = 0.
-20, -2, -1
Let m(n) be the second derivative of -15*n**7/14 + 17*n**6/2 - 11*n**5/2 - 115*n**4/6 + 155*n**3/6 - 25*n**2/2 - 214*n. Find h, given that m(h) = 0.
-1, 1/3, 1, 5
Let m = 6 - 29. Let p = 26 + m. Solve 4*w**2 + 0*w**3 - 2*w**2 - w**p - 3*w**2 = 0.
-1, 0
Let h = -89 - -169. Suppose 5*m = -3*m + h. What is z in -2*z + 9*z**3 - z**5 + 12*z**4 - 8*z**2 + 5*z**5 - m*z - z**3 - 4 = 0?
-1, 1
Suppose 0 = 5*i - 20*h + 25*h - 30, 5*i = 3*h + 22. Factor 1/5*z**2 + 1/10*z**i + 0 + 1/2*z**3 + 2/5*z**4 + 0*z.
z**2*(z + 1)**2*(z + 2)/10
Let b = -1478 + 1482. Let t(h) be the third derivative of 5/2*h**b - 13/12*h**5 + 0*h + 1/4*h**6 + 12*h**2 + 0 - 10/3*h**3 - 1/42*h**7. Factor t(o).
-5*(o - 2)**2*(o - 1)**2
Let l(o) be the second derivative of o**5/20 + 7*o**4/36 - 7*o**3/18 - o**2/2 + o - 96. Solve l(d) = 0.
-3, -1/3, 1
Let -21/4*b + 1/4*b**3 + 1/4*b**2 - 45/4 = 0. Calculate b.
-3, 5
Let j(h) be the third derivative of -h**5/12 - 55*h**4/24 + 272*h**2. Factor j(l).
-5*l*(l + 11)
Suppose 8*o - 6*o = 280. Let f be 200/o*(-1 + (-22)/(-10)). Solve -12/7*s - 16/7*s**4 - 4/7 + 20/7*s**2 + f*s**3 = 0 for s.
-1, -1/4, 1
Let p(j) be the third derivative of j**7/140 - j**6/20 - 11*j**5/20 + j**4/4 + 21*j**3/4 + 716*j**2. Let p(g) = 0. What is g?
-3, -1, 1, 7
Let s = -1175 - -1177. Let h = 41 + -39. What is c in 2*c**h + 0 + 3/2*c**5 - 7/2*c**3 + s*c - 2*c**4 = 0?
-1, -2/3, 0, 1, 2
Let u(m) be the first derivative of m**4/28 + 8*m + 10. Let n(k) be the first derivative of u(k). Factor n(j).
3*j**2/7
Let v(n) = -12*n**3 - 266*n**2 - 160*n + 82. Let y(p) = 12*p**3 + 265*p**2 + 158*p - 81. Let x(a) = 7*v(a) + 6*y(a). Factor x(h).
-4*(h + 1)*(h + 22)*(3*h - 1)
Let n = -40522 + 203353/5. Let i = -148 + n. Suppose 1/5*l**2 + 2/5*l - i = 0. What is l?
-3, 1
Let c be -11 + 9 + 9 - 22/4. Factor 0*w + c*w**2 + 0.
3*w**2/2
Suppose 2*n**4 + 8*n - 63/2*n**2 + 0 + 30*n**3 = 0. What is n?
-16, 0, 1/2
Let k = 0 - -18. Factor -8*y + 18*y**4 - 49*y + k - 15*y**4 + y**3 - 28*y**3 + 63*y**2.
3*(y - 6)*(y - 1)**3
Let r(c) be the first derivative of c**5/10 + c**4/3 + c**3/3 - 30*c + 5. Let t(f) be the first derivative of r(f). Let t(a) = 0. Calculate a.
-1, 0
Let z be -7 - 342/42*-1. Determine u so that -8/7*u + 2/7*u**3 - 2/7*u**2 + z = 0.
-2, 1, 2
Let s(r) be the third derivative of r**8/33600 - r**6/3600 - 7*r**4/8 + 17*r**2. Let g(q) be the second derivative of s(q). Factor g(c).
c*(c - 1)*(c + 1)/5
Let z(j) be the first derivative of 10*j**6/3 - 152*j**5/5 + 29*j**4 + 832*j**3/3 - 248*j**2 - 320*j - 740. Determine h so that z(h) = 0.
-2, -2/5, 1, 4, 5
Let u(t) be the third derivative of -3*t**2 - 1/18*t**4 + 1/90*t**5 + 0*t + 0 + 1/9*t**3. Factor u(l).
2*(l - 1)**2/3
Factor -109*o**4 + 12*o + 54*o**4 + 10*o**2 - 38*o**3 + 28*o**2 + 63*o**4.
2*o*(o - 3)*(o - 2)*(4*o + 1)
Let u be (1/(-3))/(-1)*0/(-36). Let -3/8*d**2 + 3/8*d**4 + 0*d + 0 + u*d**3 = 0. What is d?
-1, 0, 1
Let 28*p**2 + 363/2*p**4 - 2*p - 253/2*p**3 + 0 = 0. Calculate p.
0, 2/11, 1/3
Let p(i) be the third derivative of i**8/5040 - i**7/630 - i**5/60 - 8*i**2. Let x(r) be the third derivative of p(r). Factor x(w).
4*w*(w - 2)
Let d be 726/242*(0 - -1)/(-2 - -4). Factor -3*i - 6*i**3 + 0 - d*i**4 - 15/2*i**2.
-3*i*(i + 1)**2*(i + 2)/2
Let m = 21 - 19. Factor -2 + 2 + m + 4*b**2 + 2*b**3 - 3*b**3 - 5*b.
-(b - 2)*(b - 1)**2
Let y(r) be the third derivative of 0*r - 11*r**2 + 0 - 1/63*r**4 + 1/630*r**5 - 5/63*r**3. Factor y(i).
2*(i - 5)*(i + 1)/21
Let c(j) be the third derivative of -1/40*j**6 - 32*j**2 + 0*j + 3/20*j**5 + 0 - 1/210*j**7 + 0*j**3 - 5/24*j**4. Factor c(q).
-q*(q - 1)**2*(q + 5)
Let p be -2 + -65 - ((-12)/4 - -6). Let b be p/15 - (-5 - 0). Determine o, given that -b*o**5 - 2/3*o**3 - 2/3*o**2 - 1/3 + o**4 + o = 0.
-1, 1
Let h = 142/11 - 688/55. Let m = -15 - -17. Factor 0 + 0*b - 2/5*b**m + h*b**3.
2*b**2*(b - 1)/5
Let 30*w**2 + 3*w**2 - 63*w**3 + 18*w + 131*w**3 + 3*w**4 - 50*w**3 = 0. Calculate w.
-3, -2, -1, 0
Let a(d) = 12*d**2 - 4*d - 16. Let b = -88 + 96. Let j = 0 + -3. Let t(u) = 4*u**2 - u - 5. Let l(h) = b*t(h) + j*a(h). Factor l(f).
-4*(f - 2)*(f + 1)
Let s be (38/(-6)*3)/(2/(-6)). Solve -8*i**2 + 57*i**4 + 8 - 4*i**5 - 12*i + 16*i**3 - s*i**4 = 0.
-2, -1, 1
Let o be 9*((-2)/(-7))/((-6)/(-7)). Let r(s) be the third derivative of 0 + 1/2*s**4 - 4/3*s**o + 3*s**2 - 1/15*s**5 + 0*s. Solve r(u) = 0 for u.
1, 2
Let q(k) be the second derivative of k**9/151200 + k**8/67200 - k**4/2 - 10*k. Let s(x) be the third derivative of q(x). Determine y so that s(y) = 0.
-1, 0
Let c(i) be the third derivative of -1/40*i**4 - 1/300*i**5 - 1/1050*i**7 + 0*i + 1/200*i**6 + 0 + 1/15*i**3 + i**2. Determine g so that c(g) = 0.
-1, 1, 2
Let b be (3/2)/((-6)/(-272)). Let u be (-18)/(-20)*(b/12 - 4). Factor 3/2*q**3 + u + 9/2*q + 9/2*q**2.
3*(q + 1)**3/2
Let g(r) = -3*r + 0 + 8*r**2 + 4*r + 5*r - 2. Let j(h) = 7*h**2 + 5*h - 1. Let u(l) = -6*g(l) + 7*j(l). Let t(v) = -1. Let s(c) = 10*t(c) + 2*u(c). Factor s(k).
2*k*(k - 1)
Find y, given that -2*y**2 - 67*y + 3*y**2 - 2*y - 109*y