= 0.
0, 1, 3
Suppose 69*q = 66*q + 2136. Let z = 712 - q. Solve 1/2 + z*u - 1/2*u**2 = 0 for u.
-1, 1
Let m(w) be the third derivative of 0 - 25/24*w**4 + 1/12*w**5 - 8*w**2 + 13/6*w**3 - 1/360*w**6 + 0*w. Let f(j) be the first derivative of m(j). Factor f(g).
-(g - 5)**2
Let k(g) be the second derivative of g**4/42 - 684*g**3/7 + 1052676*g**2/7 - 2080*g. Determine y so that k(y) = 0.
1026
Let m(b) = -b - 16. Let y be m(-18). Suppose -y*x + 6 = 5*c - 50, 2*c - 32 = 4*x. Find i such that -14*i + 2*i - c + 3*i**2 + 0 + 3*i**3 + 0 = 0.
-2, -1, 2
Let o(i) be the second derivative of i**7/12600 + i**6/1200 - i**5/15 - 2*i**4/3 + 7*i**3/6 - i + 5. Let q(b) be the third derivative of o(b). Factor q(j).
(j - 5)*(j + 8)/5
Let c(k) = -k**3 + 5110*k**2 + 3243601*k - 1623079. Let w(f) = -5105*f**2 - 3243602*f + 1623078. Let l(r) = -2*c(r) - 3*w(r). Factor l(u).
(u + 1274)**2*(2*u - 1)
Suppose -3*t + j + 7 = -0*j, 0 = 5*t + j - 25. Suppose -3*p + 3*r + 12 = 0, -3*p + 0*r - r + t = 0. Factor 4/7*d**p - 6/7 + 10/7*d.
2*(d + 3)*(2*d - 1)/7
Let h(k) = -38*k + 2474. Let z be h(65). Let a(n) be the first derivative of -1/2*n**2 + 1/10*n**5 + z + 5/6*n**3 - 1/2*n**4 + 0*n. Factor a(o).
o*(o - 2)*(o - 1)**2/2
Let s(k) be the first derivative of -25/9*k**3 + 13/15*k**5 + 0*k + 125/3*k**2 + 64 - 1/18*k**6 - 15/4*k**4. Find i, given that s(i) = 0.
-2, 0, 5
Let j(b) = -95*b + 4089. Let t be j(43). Let r(i) be the second derivative of -1/12*i**3 + 0*i**2 + 0 + 6*i + 1/40*i**5 + 0*i**t. Solve r(p) = 0 for p.
-1, 0, 1
Let w(z) = -z**2 - 5*z + 15. Let g(o) = -19. Let n(l) = 15. Let m(v) = 3*g(v) + 4*n(v). Let p(r) = -5*m(r) + w(r). Let p(d) = 0. Calculate d.
-5, 0
What is t in 20*t**4 + 2715*t**2 - 2823*t**2 + 144 - 16*t**4 - 16*t - 24*t**3 = 0?
-2, 1, 9
Let v(g) = 2*g**2 - 2*g - 4. Suppose 0 = 145*b - 136*b + 45. Let l(s) = 2*s**2 - 4 - 7 - 2*s + 7. Let h(u) = b*l(u) + 4*v(u). Find w such that h(w) = 0.
-1, 2
Factor 689832/7*f + 30764/7*f**2 + 3312738/7 + 2/7*f**4 - 536/7*f**3.
2*(f - 143)**2*(f + 9)**2/7
Let x be (27 - (-1 + 7)) + 4. Factor 3364*k**3 - 1190*k**2 - 864*k - 39 - x - 1246*k**2.
4*(k - 1)*(29*k + 4)**2
Let p(x) = x**2 - 22*x + 24. Let h be p(21). Suppose j - 5 = -w, 0 = h*w + w - 2*j + 10. Determine v so that 0 + w*v + 2/13*v**4 + 4/13*v**2 + 6/13*v**3 = 0.
-2, -1, 0
Let k(l) be the second derivative of -l**4/12 - l**3 - 4*l**2 + 23*l - 1. Find m such that k(m) = 0.
-4, -2
Let s = 586069/56360 + 15/11272. Let 54/5*u - s - 2/5*u**2 = 0. What is u?
1, 26
Let h(s) = -25*s**2 - 3062*s + 1167404. Let v(y) = 66*y**2 + 9184*y - 3502208. Let g(q) = -8*h(q) - 3*v(q). Factor g(j).
2*(j - 764)**2
Suppose -11/4*m**4 + 39/4*m**2 - 31/4*m**3 + 5 + 19*m + 3/4*m**5 = 0. What is m?
-2, -1, -1/3, 2, 5
Let c = -40 + 45. Suppose -5*k - 3*u - c = 0, u - 11 + 10 = -3*k. Factor -1/8*t - 1/4 + 1/8*t**k.
(t - 2)*(t + 1)/8
Let d(h) = 9*h**3 + 821*h**2 - 3329*h + 3365. Let i(q) = -5*q**3 - 410*q**2 + 1664*q - 1684. Let n(o) = -4*d(o) - 7*i(o). Let n(s) = 0. What is s?
-418, 2
Let u(f) = 2*f**3 - 7*f**2 + 34*f - 91. Suppose 9*k = -189 + 216. Let l be u(k). Factor 12/5*v**l + 3*v + 3/5.
3*(v + 1)*(4*v + 1)/5
Suppose -127 - 83 = -10*u. Factor 21 + 72*h + u*h**2 + 3*h**3 + 6*h**2 + 27.
3*(h + 1)*(h + 4)**2
Suppose 0 = 15*q - 14*q - 24. Suppose -a + 3*d + q = 0, -a - 4*d + 4 = 15. Suppose -22 + 15 + 14*o + 2*o**2 - a = 0. Calculate o.
-8, 1
Let y(f) be the third derivative of f**6/160 + 13*f**5/40 + 25*f**4/32 + 203*f**2 - 4*f. Factor y(k).
3*k*(k + 1)*(k + 25)/4
Let w(q) be the first derivative of q**6/75 - 2*q**4/15 + 119*q + 105. Let t(x) be the first derivative of w(x). Determine i so that t(i) = 0.
-2, 0, 2
Factor -249/5*d + 0 - 36/5*d**2.
-3*d*(12*d + 83)/5
Suppose -4 = 2*r - 10. Let q(a) = a**3 - 2*a**2 - 2*a - 1. Let c be q(r). Find x, given that 15*x**c + 12*x**3 - 38*x**2 - 5*x**2 + 8*x = 0.
0, 1/3, 2
Let p(n) = 21*n**3 - 45*n**2 + 60*n. Let g(l) be the second derivative of 3*l**5/10 - 13*l**4/12 + 17*l**3/6 - 98*l. Let o(j) = -18*g(j) + 5*p(j). Factor o(m).
-3*m*(m - 2)*(m - 1)
Let l = 8079 + -282764/35. Let n(p) be the first derivative of 0*p - 1/21*p**3 - l*p**5 + 0*p**2 + 1/14*p**4 - 27. Factor n(b).
-b**2*(b - 1)**2/7
Factor -1/10*i**3 + 0 + 19/10*i**2 - 17/5*i.
-i*(i - 17)*(i - 2)/10
Let v be ((-184)/(-6) - 12 - 6)/(48/18). Factor -9/2*j - v + 1/4*j**2.
(j - 19)*(j + 1)/4
Let u be 102/(-153) + 11 + (-110)/15. Determine t so that -3/7*t**u + 0*t + 0 - 3/7*t**2 = 0.
-1, 0
Let d(z) be the second derivative of -z**7/98 - 9*z**6/70 - 12*z**5/35 + 15*z**4/7 + 16*z**3 + 288*z**2/7 + 498*z - 1. Let d(n) = 0. What is n?
-4, -2, 3
Suppose 40/11*r - 32/11*r**3 + 10/11*r**4 + 6/11*r**2 - 8/11 = 0. What is r?
-1, 1/5, 2
Let y(g) = -3*g**3 - 55*g**2 + 56*g + 124. Let u(t) = 7*t**3 + 109*t**2 - 112*t - 250. Let d(n) = -4*u(n) - 9*y(n). Factor d(k).
-(k - 58)*(k - 2)*(k + 1)
Factor -2/5*x**2 - 46/15*x - 28/15.
-2*(x + 7)*(3*x + 2)/15
Let z(v) be the second derivative of 0 - 1/4*v**5 + 0*v**3 + 0*v**2 + 47*v - 5/12*v**4. Solve z(f) = 0 for f.
-1, 0
Let n(x) be the first derivative of -x**5/270 - 5*x**4/108 + 2*x**3/9 - 12*x**2 - 89. Let i(w) be the second derivative of n(w). Find s, given that i(s) = 0.
-6, 1
Let k(d) = 7*d**3 - 212*d**2 + 13225*d - 6. Let t(w) = -w**3 - 3*w**2 + 1. Let i(v) = 5*k(v) + 30*t(v). Let i(j) = 0. Calculate j.
0, 115
Suppose 1187 - 1237 - 165*h**2 + 2*h**3 + 167*h**2 - 50*h = 0. What is h?
-5, -1, 5
Let -1/4*q**2 + 327/4*q + 82 = 0. What is q?
-1, 328
Factor 18167 - 3626 + 5*y**4 + 20422 - 870*y**3 - 8057*y**2 + 46762*y**2 + 2017 - 74820*y.
5*(y - 86)**2*(y - 1)**2
Let u(v) = v**2 + v - 1. Let s be ((-15)/(-9))/((-5)/(-15)). Let m(n) = -35*n**2 - 91*n + 17. Let o(z) = s*u(z) + m(z). Solve o(k) = 0.
-3, 2/15
Let q = 147 + -139. Solve q - 6*a - 24*a**2 - 27*a**2 + 79*a**2 - 27*a**2 = 0 for a.
2, 4
Factor -250*i + 20*i**2 + 17*i**2 + 1875 - 12*i**2 - 349*i - 26*i + 5*i**3.
5*(i - 5)**2*(i + 15)
Let y(l) be the first derivative of l**6/30 - 2*l**5/3 + 16*l**4/3 - 64*l**3/3 + 43*l**2/2 - 30. Let z(c) be the second derivative of y(c). Factor z(o).
4*(o - 4)**2*(o - 2)
Suppose 0*z + q = 2*z - 132, 0 = 2*z - 2*q - 130. Let j = z - 65. Suppose 30*v**3 + 5*v + 2*v**4 + 20*v**5 - 22*v**4 - 15*v**5 - 20*v**j = 0. What is v?
0, 1
Let m = 10 - 6. Suppose 93 = 25*b - 7. Solve 2*r**2 - 43*r**4 + 8 + 39*r**4 - m*r**3 + 20*r + 14*r**2 - b*r**2 = 0.
-1, 2
Let r(z) be the third derivative of z**5/210 - 43*z**4/42 + 1840*z**3/21 + 2607*z**2. Factor r(q).
2*(q - 46)*(q - 40)/7
Let s = 1746/37 + -45708/851. Let j = 4332/161 - s. Find p such that -162/7 + 324/7*p - 8/7*p**4 + 72/7*p**3 - j*p**2 = 0.
3/2, 3
Let a = 168 - 166. Factor -2*g**2 + 20*g - a*g**2 + 39 - 29 - 22 - 4*g**3.
-4*(g - 1)**2*(g + 3)
Suppose -6*c = 120 - 156. Factor -c*z**2 + 0*z**3 + 6*z + z**3 + 1 - 3*z + 9*z**2.
(z + 1)**3
Factor -54412 - 1164*s + 94730 - 46*s**2 - 43*s**2 + 72590 + 92*s**2.
3*(s - 194)**2
Let t = -4/89267 - -178546/267801. Solve -t - 2*b**2 + 2/3*b**3 + 2*b = 0.
1
Let u(w) be the second derivative of w**6/40 + 33*w**5/10 + 1091*w**4/8 + 1353*w**3 + 45387*w**2/8 - 17*w - 23. Determine d, given that u(d) = 0.
-41, -3
Let p(y) be the first derivative of y**8/840 + y**7/420 - y**6/180 - y**5/60 + 61*y**3/3 + 39. Let c(s) be the third derivative of p(s). Solve c(v) = 0 for v.
-1, 0, 1
Let o(t) be the first derivative of 13*t**6/200 + t**5/100 - 26*t**3 + 62. Let i(k) be the third derivative of o(k). Determine q, given that i(q) = 0.
-2/39, 0
Let l(q) be the third derivative of q**6/300 + 91*q**5/150 + 79*q**4/5 - 3*q**2 - q - 32. Factor l(h).
2*h*(h + 12)*(h + 79)/5
Let u be (-234)/(-540)*3/26. Let k(i) be the first derivative of -2/5*i**2 + 20 + u*i**4 - 1/15*i**3 + 4/5*i. Solve k(y) = 0.
-2, 1, 2
Let o(v) be the first derivative of -v**7/168 + 19*v**6/36 - 361*v**5/24 + 15*v**3 + 44. Let x(t) be the third derivative of o(t). What is q in x(q) = 0?
0, 19
Let q = -1/2062 + 13427/49488. Let t(b) be the third derivative of 0 - 26*b**2 - q*b**4 - 1/2*b**3 + 0*b - 1/15*b**5 - 1/240*b**6. Factor t(m).
-(m + 1)**2*(m + 6)/2
Let c be 2582/(-5164)*(1 + -1). Factor 0*s**2 + 1/2*s**4 + c*s + 0*s**3 + 0.
s**4/2
Let h be 20/6*(-2064)/43. Let j be 137/52 - h/(-128). Factor 0*z + 0 - j*z**5 + 0*z**2 + 4/13*z**3