/7*m**2 - 8/7.
-2*(m - 2)*(m + 1)*(7*m - 2)/7
Let w = -10/539 - 1321/5390. Let n = 3/22 - w. Solve 0*k**3 + 2/5*k**4 + 0*k + 0 - n*k**2 = 0.
-1, 0, 1
Suppose 0 = -3*m - 12, -98*f + 95*f - 3*m - 6 = 0. Factor 20/3 - 15*v**5 + 65*v**4 + 95*v**f - 40*v - 335/3*v**3.
-5*(v - 1)**3*(3*v - 2)**2/3
Let w(c) = -2*c**2 - 12*c + 18. Let o(i) = 3*i**2 + 18*i - 27. Let v(k) = -5*o(k) - 7*w(k). Let t be v(-7). Factor t - 4/3*h + 2/9*h**2.
2*(h - 3)**2/9
Let d(n) be the first derivative of -9 + 5/9*n**4 + 1/27*n**6 + 5/9*n**2 - 2/9*n - 2/9*n**5 - 20/27*n**3. Solve d(m) = 0.
1
Let m(p) = -5*p**3 - p**2 - p - 1. Let x be m(-1). What is k in -45*k**3 + 10 + 4*k**4 + 7*k**2 - 11*k**x + 3*k**2 - 13*k**4 + 45*k = 0?
-2, -1, -1/4, 1
Let i(n) = -3*n - 6. Let a = 7 + -13. Let z be i(a). Find q such that 2*q**2 + 0*q**2 - 5 + 13 - z*q + 10 = 0.
3
Let r(t) be the third derivative of t**9/362880 - t**8/60480 - t**7/30240 + t**6/2160 + t**5/30 + 8*t**2. Let g(v) be the third derivative of r(v). Factor g(p).
(p - 2)*(p - 1)*(p + 1)/6
Let y(n) be the second derivative of -7/15*n**5 - 25*n - 10/63*n**7 - 4/5*n**6 + 0 + 0*n**2 + 0*n**3 + 2/3*n**4. Suppose y(q) = 0. Calculate q.
-3, -1, 0, 2/5
Suppose -2*s = -12*s + s. Find p such that 2/15*p**5 + 4/15*p**2 - 2/5*p**3 + 0*p + 0*p**4 + s = 0.
-2, 0, 1
Let h(y) be the first derivative of -y**3/3 - 6*y**2 - 27*y + 316. What is u in h(u) = 0?
-9, -3
Let y(z) be the third derivative of 5*z**8/336 - z**7/42 - z**6/4 - z**5/6 + 25*z**4/24 + 5*z**3/2 + 261*z**2. Factor y(f).
5*(f - 3)*(f - 1)*(f + 1)**3
Let c = -3609 + 3609. Factor -1/7*t**2 + c + 1/7*t**3 - 2/7*t.
t*(t - 2)*(t + 1)/7
Factor -11*u**3 + 1/2*u**4 + 72 + 97/2*u**2 + 132*u.
(u - 12)**2*(u + 1)**2/2
Let i(v) be the second derivative of -v**5/60 + v**4/4 - 3*v**3/2 + 3*v**2/2 + 5*v. Let c(h) be the first derivative of i(h). Factor c(q).
-(q - 3)**2
Let d be ((-4788)/231 - -22)*(-2)/(-4). What is y in -1/11*y**3 - 3/11 - d*y - 5/11*y**2 = 0?
-3, -1
Let y(v) = -v**5 - v**3 + 2*v + 1. Let m(i) = 4*i**5 - 17*i**4 + 11*i**3 - 2*i - 1. Let n(s) = -3*m(s) - 3*y(s). Factor n(j).
-3*j**3*(j - 5)*(3*j - 2)
Let o(h) = -h**2 - 15*h - 51. Let n be o(-7). Let j(l) be the third derivative of 0*l + 0 - 6*l**2 + 0*l**4 + 1/36*l**3 - 1/360*l**n. Let j(q) = 0. What is q?
-1, 1
Let w be (-9 + 0)/(1 - 2). Let g = 321 - 313. Factor 2*u**3 - g + w - 8*u - 2*u**2 + 0*u**2 + 7.
2*(u - 2)*(u - 1)*(u + 2)
Let v(h) = 5*h**3 + 65*h**2 + 578*h. Let p(c) = 4*c**3 + 66*c**2 + 578*c. Let y(b) = 3*p(b) - 2*v(b). Solve y(w) = 0 for w.
-17, 0
Suppose 12 = 4*o - 4*w, -2*o + w - 4*w - 19 = 0. Let b be (-288)/54*o/4. Solve 5/3*u**2 - b*u - 1/3*u**3 + 4/3 = 0.
1, 2
Let k(f) be the second derivative of -16/7*f**3 + 39*f + 1/70*f**6 + 6/7*f**4 - 6/35*f**5 + 0 + 24/7*f**2. Factor k(d).
3*(d - 2)**4/7
Suppose 2*u = 7*u + t + 5, 0 = 3*u - 2*t + 16. Let j(g) = -g**2 + 4. Let c be j(u). Factor 0*q + c - q**4 + 1/2*q**2 + 1/4*q**3 - 3/4*q**5.
-q**2*(q + 1)**2*(3*q - 2)/4
Let t(f) = 9*f**2 + 7*f + 3. Let q(c) = 28*c**2 + 20*c + 8. Let b(o) = -5*o - 4. Let i be b(-4). Let n(a) = i*t(a) - 5*q(a). Factor n(w).
4*(w + 1)*(w + 2)
Factor 0 - 1/5*q**3 + 6/5*q**2 + 16/5*q.
-q*(q - 8)*(q + 2)/5
Suppose 5*q - 55 = -0*a + a, 0 = -5*q - 5*a + 55. Solve 4*g**4 - 2*g**2 - q*g**2 - 8*g + 5*g**2 - 4*g**2 = 0 for g.
-1, 0, 2
Suppose -y = 5*m - 2026, -3*m + 1915 - 696 = 4*y. What is s in -695*s**3 + m*s**4 - 205*s**2 - 405*s**2 + 110*s**3 + 340*s - 40 = 0?
-1, 2/9, 2
Let a(r) be the second derivative of r**6/135 - 7*r**5/90 - 4*r**4/27 + 214*r. Solve a(d) = 0 for d.
-1, 0, 8
Let a(g) be the third derivative of -g**11/20790 + g**10/12600 + g**9/15120 - g**5/6 + 21*g**2. Let p(o) be the third derivative of a(o). Factor p(z).
-4*z**3*(z - 1)*(4*z + 1)
Let r(m) be the first derivative of -m**4/2 - 6*m**3 + 10*m**2 - 76. Factor r(h).
-2*h*(h - 1)*(h + 10)
Let u(j) be the third derivative of -j**6/8 - 81*j**5/10 + 101*j**4/8 + 33*j**3 - 915*j**2. Determine b, given that u(b) = 0.
-33, -2/5, 1
Factor 11/3*c + 1/6*c**2 + 0 - 11/3*c**3 - 1/6*c**4.
-c*(c - 1)*(c + 1)*(c + 22)/6
Let u = -17 + 20. Let s = -27 + 51. What is h in -3*h**u - 6*h - 21*h**2 - s*h**3 + 12*h**3 = 0?
-1, -2/5, 0
Suppose v = -4*v + 60. Suppose 0*h - v = -4*h. Factor g + 3*g**2 + 2*g - 3*g**3 + h*g.
-3*g*(g - 2)*(g + 1)
Suppose -x + 6 = x. Let w(u) be the first derivative of 146 + 12*u + 4*u**x - 3*u**3 - 140 + 6*u**2. Factor w(f).
3*(f + 2)**2
Let k(h) = 4*h**2 - 66*h - 175. Let c(s) = -s**2 + 21*s + 58. Let q(i) = -21*c(i) - 6*k(i). Find y, given that q(y) = 0.
-8, -7
Let x = 611/2905 + -6/581. Suppose 1/5*o**4 - o**3 + 1/5*o**5 - 4/5 + 8/5*o - x*o**2 = 0. What is o?
-2, 1
Let k(i) = -10*i**2 - 60*i + 2. Let p be k(-6). Let q(f) be the first derivative of 0*f + 0*f**p - 2 - 4/5*f**5 + 8/3*f**3 + f**4. Find b, given that q(b) = 0.
-1, 0, 2
Suppose -3 + 17 = 2*g. Factor -4*k**2 + g - 3 - k + 3*k + 2*k**2.
-2*(k - 2)*(k + 1)
Let l(f) be the third derivative of -f**7/70 - 7*f**6/40 - 3*f**5/4 - 9*f**4/8 - 6*f**2 - 2*f. What is o in l(o) = 0?
-3, -1, 0
Let a(x) = 49*x**2 - 12*x + 15. Let s(l) = 41*l**2 - 11*l + 14. Let q(r) = -5*a(r) + 6*s(r). Factor q(p).
(p - 3)**2
Let d = 215/3 + -71. Let k(g) be the first derivative of -d*g**3 - 2*g - 3 + 2*g**2. Factor k(t).
-2*(t - 1)**2
Let k = 8167 + -57167/7. Factor 4/7*p + 0 + k*p**3 - 6/7*p**2.
2*p*(p - 2)*(p - 1)/7
Suppose 23*u + 44 = 25*u. Let x be (u - 16) + (-11)/2. Let x*p + 1/6*p**2 + 0 = 0. Calculate p.
-3, 0
Let b = 255 - 2547/10. Let z(d) be the second derivative of -2*d - 1/20*d**4 - b*d**2 + 0 - 1/5*d**3. Let z(g) = 0. What is g?
-1
Let a(r) be the second derivative of 3*r**5/20 + r**4 + 3*r**3/2 + 2*r - 70. Let a(x) = 0. Calculate x.
-3, -1, 0
Let o(h) be the second derivative of 9*h**5/5 + 29*h**4 + 110*h**3/3 + 18*h**2 - 110*h. Let o(m) = 0. Calculate m.
-9, -1/3
Let s(x) be the first derivative of -5*x + 1/7*x**4 + 4/21*x**3 + 1/105*x**6 + 1/7*x**2 - 4 + 2/35*x**5. Let c(p) be the first derivative of s(p). Factor c(n).
2*(n + 1)**4/7
Let y(q) = -q**3 + 0*q**3 - 3*q**2 + 2*q + 0*q**2 - 6*q. Let t be y(-3). Suppose -86*m**4 - 30*m**5 + 6*m**2 - 42*m**3 - t*m**5 - 2*m + 6*m = 0. What is m?
-1, -1/3, 0, 2/7
Let w be (-12)/18 + (-4)/(-6). Suppose w = -5*j + 11*j - 18. Determine p so that -2*p + 0*p - 3*p + 5*p**3 - 10 - 5*p**4 + 12*p**2 + j*p**2 = 0.
-1, 1, 2
Let x(r) be the third derivative of 0*r**4 - 2/21*r**7 + 5/24*r**6 - 22*r**2 + 0 - 1/6*r**5 + 0*r**3 + 0*r + 5/336*r**8. Factor x(l).
5*l**2*(l - 2)*(l - 1)**2
Let f = 1633/1086 - 2/543. Factor -1/4 - 1/4*x + f*x**2.
(2*x - 1)*(3*x + 1)/4
Suppose u - 13 = 4*d, -13 = -3*u + 8*d - 9*d. Let f(l) be the third derivative of 0*l + 1/3*l**3 + 0 + 1/60*l**u - 2*l**2 + 1/8*l**4. Let f(b) = 0. What is b?
-2, -1
Let w(s) = s**2 + 8*s + 12. Let t be w(-6). Let g be t/((-1)/((10/(-4))/(-5))). Let 0 + 2/11*v**4 - 2/11*v**2 - 2/11*v**5 + 2/11*v**3 + g*v = 0. What is v?
-1, 0, 1
Suppose -6 = 3*p - 21, 3*p = -3*b + 21. Suppose 9*l**4 - 2*l**2 - 66*l**5 + 2*l**3 + 73*l**5 + b*l**2 = 0. Calculate l.
-1, -2/7, 0
Let i = 1158 - 5782/5. Factor i*w**2 + 0 - 8/5*w**3 + 2/5*w**4 + 0*w.
2*w**2*(w - 2)**2/5
Factor 720 - 244*q**2 - 5*q**4 - 26*q**3 - 377*q + 257*q - 471*q**2 + 146*q**3.
-5*(q - 12)**2*(q - 1)*(q + 1)
Let w(r) be the first derivative of -r**4/2 - 5*r**3/3 + 2*r**2 - 24*r - 32. Let y(j) be the first derivative of w(j). Factor y(p).
-2*(p + 2)*(3*p - 1)
Let w(r) = 5*r**5 + 9*r**4 + 25*r**3 - 27*r**2 - 6*r - 6. Let s(u) = 4*u**5 + 7*u**4 + 25*u**3 - 26*u**2 - 5*u - 5. Let j(q) = 6*s(q) - 5*w(q). Factor j(x).
-x**2*(x - 3)*(x - 1)*(x + 7)
Let a = -2 - -5. Let j(c) be the first derivative of c**a + 0*c**3 + 1 - 2 - 3*c**2. Let j(q) = 0. What is q?
0, 2
Let w(p) be the third derivative of -p**6/24 - 35*p**5/12 - 60*p**4 + 270*p**3 + 19*p**2 + 3. Factor w(g).
-5*(g - 1)*(g + 18)**2
Let w(m) be the second derivative of 1/10*m**6 + 0*m**3 - 1/4*m**4 + 0 + 1/14*m**7 + 0*m**2 - 3/20*m**5 + 7*m. Factor w(k).
3*k**2*(k - 1)*(k + 1)**2
Let t be (2 + (-21)/12)*(451/(-99) - -5). Factor 1 + 2/3*f + t*f**2.
(f + 3)**2/9
Suppose 17 - 115 = -49*i. Solve -1/6*n**3 + 1/2*n - 1/3*n**i + 0 = 0 for n.
-3, 0, 1
Let p = -10 - -12. Determine c so that -21*c**3 - 24*c**p - 14*c**3 + 26*c**3 - 14*c + 2*c = 