x + t*x**7 + 0. What is d in q(d) = 0?
-1, -2/3
Let w(a) be the second derivative of 5*a**7/42 + a**6/6 - 3*a**5/2 + 5*a**4/6 + 25*a**3/6 - 15*a**2/2 - 42*a. Factor w(z).
5*(z - 1)**3*(z + 1)*(z + 3)
Let m(c) be the first derivative of 34/9*c**2 - 11 - 16/9*c - 16/27*c**3. Factor m(h).
-4*(h - 4)*(4*h - 1)/9
Let j = -1723/7 + 247. Let q(g) be the second derivative of -1/4*g**4 + 0 + 4*g - j*g**2 + 8/7*g**3. Solve q(z) = 0 for z.
2/7, 2
Let f be (19/57)/(3/18). Factor 0 + 1/4*a**f + a.
a*(a + 4)/4
Let o be 1/(((-2)/4)/(10 - 11)). Factor -1/8*r + 1/8 - 1/4*r**o.
-(r + 1)*(2*r - 1)/8
Solve 80/3 - 76/3*x + 22/3*x**2 - 2/3*x**3 = 0.
2, 4, 5
Let a be ((-8)/(-216))/((-5)/(-30)). Factor 0*h**2 + 2/9*h**4 + 0*h**3 + 0*h - a*h**5 + 0.
-2*h**4*(h - 1)/9
Let c(y) = -7*y**5 + 19*y**4 - 83*y**3 + 133*y**2 + 26*y. Let h(u) = u**5 - 3*u**4 + 14*u**3 - 22*u**2 - 4*u. Let k(f) = -6*c(f) - 39*h(f). Factor k(q).
3*q**2*(q - 2)**2*(q + 5)
Let u = 9129 - 9127. Factor -20/3*y**u - 2/3 + 10/3*y + 2/3*y**5 + 20/3*y**3 - 10/3*y**4.
2*(y - 1)**5/3
Let a(y) be the third derivative of -7/30*y**7 + 21/20*y**6 + 0*y + 29/20*y**5 + 2*y**3 + 0 - 19/6*y**4 - 24*y**2. Factor a(o).
-(o - 3)*(o + 1)*(7*o - 2)**2
Let t(u) be the third derivative of -u**6/360 + u**5/45 + 11*u**4/72 + u**3/3 - 2*u**2 + 23. Suppose t(a) = 0. What is a?
-1, 6
Suppose -263 + 2120*p - 2288*p + 3*p**2 + 816 + 1799 = 0. What is p?
28
Let p(m) be the third derivative of 0 - 1/20*m**5 + 0*m + 2*m**2 + 3/2*m**3 - 1/4*m**4. Factor p(b).
-3*(b - 1)*(b + 3)
Suppose 7*m - 9 = 4*m. Suppose -2*k = 13*k - 60. Factor k*z**2 - 11*z - 7*z + 20*z - 6*z**m.
-2*z*(z - 1)*(3*z + 1)
Let o(q) be the third derivative of q**6/660 + 7*q**5/330 + 4*q**4/33 + 4*q**3/11 - 109*q**2. Factor o(d).
2*(d + 2)**2*(d + 3)/11
Suppose 122*g = 130*g. Factor 0*k**3 - 2/13 + g*k - 2/13*k**4 + 4/13*k**2.
-2*(k - 1)**2*(k + 1)**2/13
Let -2/3*m**2 + 62 - 184/3*m = 0. What is m?
-93, 1
Let j(n) be the first derivative of n**6/180 - n**5/40 + n**3/9 - 8*n + 9. Let g(l) be the first derivative of j(l). Factor g(s).
s*(s - 2)**2*(s + 1)/6
Let k(j) = 5*j**4 - 2*j**2 + 3*j. Let c(r) = -4*r**4 + 2*r**2 - 2*r. Let i(p) = 3*c(p) + 2*k(p). Solve i(d) = 0.
-1, 0, 1
Suppose 19/2*y + 0 - 1/2*y**2 = 0. What is y?
0, 19
Suppose -6*w + 12 = 4*z - 4*w, 5*w + 10 = 0. Suppose -c + 12 = 3*c + 2*o, o + 12 = z*c. Factor 2*l**2 + 2*l + 1/2*l**c + 0.
l*(l + 2)**2/2
Solve -2/5*a**3 - 46816/5*a - 47432/5 + 614/5*a**2 = 0.
-1, 154
Let y(j) be the first derivative of 2*j**3/3 - 24*j**2 + 46*j - 225. Factor y(x).
2*(x - 23)*(x - 1)
Let k be ((-212)/265)/((-14)/5). Suppose -2*c + 8 = 2. Solve 0 + k*h - 4/7*h**2 + 2/7*h**c = 0.
0, 1
Let f(v) = 34*v**2 + 27*v - 50. Let o(u) = -3*u**2 + 2*u. Let q(d) = 2*f(d) + 22*o(d). Determine k, given that q(k) = 0.
-50, 1
Let b(l) be the third derivative of l**7/1155 - l**6/165 - 13*l**5/330 + l**4/33 + 4*l**3/11 - 273*l**2. Suppose b(d) = 0. What is d?
-2, -1, 1, 6
Suppose 0 = -5*i + 3*s + 16, 2*i = s - 0*s + 6. Determine b so that 24*b**2 - 8 + 2 - 27*b**i - 11*b = 0.
-3, -2/3
Suppose -3*m - 3*t = -5 + 2, -3*m + 3*t = -15. Let n(u) be the first derivative of -3/5*u**2 + 0*u + 4/15*u**3 + m + 1/10*u**4. Suppose n(s) = 0. Calculate s.
-3, 0, 1
Let s(d) be the second derivative of 3*d**7/1960 - 11*d**6/840 + 3*d**5/70 - d**4/14 - 5*d**3/2 + 4*d. Let k(h) be the second derivative of s(h). Factor k(f).
3*(f - 2)*(f - 1)*(3*f - 2)/7
Let j(x) be the first derivative of x**6/14 + 54*x**5/35 + 285*x**4/28 + 218*x**3/7 + 342*x**2/7 + 264*x/7 - 687. Solve j(d) = 0 for d.
-11, -2, -1
Solve 4*g**4 - 8*g**2 - 240*g**5 - 4 + 6*g**3 + 238*g**5 + 4 - 8*g = 0 for g.
-1, 0, 2
Suppose -k = -5*j + 24, -4*j + 13 = -3. Let w be (-1)/k*(0 - -2). Suppose -w*g**2 - 2 - 2*g = 0. Calculate g.
-2
Let p be (-500)/(-30) - 4 - 11. Factor -40/3*w + 80/3 + p*w**2.
5*(w - 4)**2/3
Let p(n) be the second derivative of -9*n**5/25 - 43*n**4/15 - 52*n**3/15 + 16*n**2/5 - 31*n. Factor p(v).
-4*(v + 1)*(v + 4)*(9*v - 2)/5
Find i such that -3/2*i**3 + 3/2*i**4 + 3/4*i + 3/4*i**5 - 3*i**2 + 3/2 = 0.
-2, -1, 1
Let j be 187/(-34)*2/(-1). Let -3*q + j*q**3 - 6*q**3 + 8*q**2 + q**5 - 11*q**3 = 0. What is q?
-3, 0, 1
Let q(i) be the first derivative of 0*i**2 - 3/28*i**4 - 1/35*i**5 - 2/21*i**3 + 0*i - 10. Let q(m) = 0. What is m?
-2, -1, 0
Let o(t) be the third derivative of 0 - 13*t**2 - 64/3*t**3 + 0*t - 1/30*t**5 + 4/3*t**4. Determine l so that o(l) = 0.
8
Let g = -297 + 297. Let q(l) be the second derivative of 10*l + 8/33*l**3 + 0 + 1/11*l**4 - 1/165*l**6 + 3/11*l**2 + g*l**5. Factor q(b).
-2*(b - 3)*(b + 1)**3/11
Factor -65/4*i - 1/8*i**2 - 4225/8.
-(i + 65)**2/8
Let t(n) = -n**2 + 12*n + 9. Let y(i) be the first derivative of -2*i**3/3 + 6*i**2 + 9*i + 8. Let x(o) = -5*t(o) + 4*y(o). What is g in x(g) = 0?
-3, -1
Let w = 3706 - 7407/2. Factor 0*q + 0 - w*q**2.
-5*q**2/2
Let w(u) be the first derivative of -3*u**4/28 + 4*u**3/7 + 3*u**2/2 - 30*u/7 + 33. Let w(k) = 0. Calculate k.
-2, 1, 5
Let h be 18/(-3) + 704/96. Let m(r) be the first derivative of 0*r**2 + 8 + 0*r + r**4 - h*r**3. Factor m(a).
4*a**2*(a - 1)
Let j = 569/7 + -81. Let l = 381 - 379. Find b, given that j - 1/7*b**l - 1/7*b = 0.
-2, 1
Let a(c) be the third derivative of c**7/840 + c**6/48 + 3*c**5/20 + 13*c**4/12 - 13*c**2. Let b(d) be the second derivative of a(d). Factor b(n).
3*(n + 2)*(n + 3)
Let p be 6/15 + 304/190. Factor -10/3*f + 1/3*f**p + 25/3.
(f - 5)**2/3
Let p = 12 - 9. Factor 6*v**3 + 8 - 2*v**3 - 3*v**p + 12*v + 6*v**2.
(v + 2)**3
Let m(h) be the third derivative of h**6/1200 + h**5/150 - 13*h**4/80 + 9*h**3/10 - 37*h**2 + h. Factor m(z).
(z - 3)*(z - 2)*(z + 9)/10
Let p = -5/8947 - -26861/35788. Factor 1/4*q**4 + q - p - q**3 + 1/2*q**2.
(q - 3)*(q - 1)**2*(q + 1)/4
Factor -5*d**2 - 4*d**2 - 7*d + 0*d**2 - 6 + 7*d**2 + d**2.
-(d + 1)*(d + 6)
Let g be 1 + ((-495)/(-243) - 3). Let i(h) be the second derivative of 0 + g*h**3 + 0*h**2 + 3*h - 1/27*h**4. What is k in i(k) = 0?
0, 1/2
Let l(k) be the first derivative of k**5/300 - k**3/30 + k**2/2 + 4*k + 52. Let o(m) be the second derivative of l(m). Suppose o(t) = 0. What is t?
-1, 1
Let m(d) be the third derivative of 2*d**2 - 1/24*d**4 + 0*d**5 - 40 - 1/840*d**7 + 0*d + 1/160*d**6 + 0*d**3. Solve m(t) = 0.
-1, 0, 2
Let s = -4/33 - -263/264. Let m(u) be the first derivative of 2*u**3 + 3/4*u**2 + s*u**4 + 5 - u. Let m(o) = 0. What is o?
-1, 2/7
Let r(i) = -5*i**2 - i + 9 - 10 - 8*i - 6. Let x(t) = t**2 + t + 1. Let j(c) = r(c) + 3*x(c). Factor j(l).
-2*(l + 1)*(l + 2)
Let a(t) be the second derivative of -t**7/126 - 11*t**6/90 - 11*t - 7. Solve a(k) = 0.
-11, 0
Let b(x) = x**3 - x + 1. Let t(y) = -6*y**3 - y**2 + 6*y - 6. Let m(v) = 14*b(v) + 2*t(v). Let m(c) = 0. Calculate c.
-1, 1
Let z(v) = v**2 - 7*v - 5. Let w(j) = -3*j - 3. Let n(g) = -5*w(g) + 3*z(g). Factor n(q).
3*q*(q - 2)
Factor -5968 + 20*m + 5*m**3 + 5968 - 11*m**2 - 9*m**2.
5*m*(m - 2)**2
Let j(u) be the second derivative of -3*u**7/56 - u**6/8 + 13*u**5/16 + 155*u**4/48 + 10*u**3/3 + 3*u**2/2 + 1090*u. Let j(f) = 0. Calculate f.
-2, -1/3, 3
Let k(h) be the first derivative of -h**6/360 + h**5/180 + 5*h**4/72 + h**3/6 - 7*h**2/2 - 1. Let l(g) be the second derivative of k(g). Factor l(c).
-(c - 3)*(c + 1)**2/3
Let f(v) be the first derivative of -5*v**5 + 5*v**4 + 5*v**3/3 + 83. Determine a so that f(a) = 0.
-1/5, 0, 1
Let r(a) = 2*a**2 + 12*a + 4. Let y be r(-6). Suppose y = -5*j + 7*j. What is d in 1/3*d**j + 0 + 0*d = 0?
0
Let h = 1454 + -1450. Factor 0*v - 4/11*v**2 + 0 + 10/11*v**3 - 8/11*v**h + 2/11*v**5.
2*v**2*(v - 2)*(v - 1)**2/11
Let i(p) be the first derivative of -p**3/7 + 69*p**2/7 + 288*p/7 - 844. Determine n, given that i(n) = 0.
-2, 48
Let m(g) be the first derivative of 289*g**4/20 - 1003*g**3/15 + 212*g**2/5 - 48*g/5 + 40. Find o such that m(o) = 0.
4/17, 3
Let w(o) be the first derivative of -4*o**3/9 - 157*o**2/6 - 13*o - 59. Let w(g) = 0. What is g?
-39, -1/4
Let p(d) = 2*d**3 + d**2 - 1. Let w be p(1). Factor 2*u + 10*u + u**3 + 4 + 6*u**w - 3 + 7.
(u + 2)**3
Let p(h) be the second derivative of 1/12*h**3 + 0 - 1/24*h**4 + 21*h + 0*h**2. Let p(f) = 0. Calculate f.
0, 1
Let j(m) = 3*m**3 - 40*m**2 - 273*m - 327. Let h(y) = -2*y**3 + 20*y**2 + 137*y + 163. Let 