t f be t(4). Let n(q) = -2*q**2 + 2. Let y be n(f). Suppose 0 + 2/7*l + 2/7*l**y = 0. What is l?
-1, 0
Suppose 2*a = 7*a - 4*k - 6, -2*a + 2*k + 2 = 0. What is n in -3*n**3 + 8*n**a + 10*n**2 - 15*n**2 = 0?
0, 1
Suppose -74*x + 16*x = -174. Let y(l) = -l**3 + 4*l**2 + 5*l + 2. Let h be y(5). What is c in 0*c**h - 4/9 + 2/3*c - 2/9*c**x = 0?
-2, 1
Let p(n) be the second derivative of n**5/10 + 17*n**4/12 + 4*n**3/3 + 10*n. Solve p(u) = 0 for u.
-8, -1/2, 0
Let c(f) be the second derivative of -3*f**5/20 - 9*f**4/4 - 10*f**3 - 18*f**2 - 60*f. Factor c(v).
-3*(v + 1)*(v + 2)*(v + 6)
Find m such that 96/11*m**5 + 1185810/11*m + 2462970/11*m**2 + 146334/11 + 8400/11*m**4 + 246390/11*m**3 = 0.
-29, -1/4
Let c(p) be the first derivative of p**5/12 + 5*p**4/12 + 5*p**3/6 + p**2/2 + 40. Let g(x) be the second derivative of c(x). Factor g(z).
5*(z + 1)**2
Let n be 92*3/378 - (-10)/(-35). Factor 0*a**2 + 0 + 2*a**4 - n*a**3 - 14/9*a**5 + 0*a.
-2*a**3*(a - 1)*(7*a - 2)/9
Let p(u) be the third derivative of 18*u**2 - 1/180*u**6 + 0*u**3 + 1/630*u**7 - 1/180*u**5 + 0 + 1/36*u**4 + 0*u. Factor p(c).
c*(c - 2)*(c - 1)*(c + 1)/3
Let b(n) be the second derivative of -n**8/7840 + n**7/2940 - 5*n**4/6 - 11*n. Let r(u) be the third derivative of b(u). Factor r(o).
-6*o**2*(o - 1)/7
Let v(o) be the first derivative of 35*o**4/4 + 80*o**3/3 + 55*o**2/2 + 10*o + 301. Solve v(n) = 0 for n.
-1, -2/7
Let y(b) = -b**3 + 11*b**2 - 46*b + 28. Let s(t) = -5*t**3 + 52*t**2 - 231*t + 140. Let w(l) = 2*s(l) - 11*y(l). Factor w(r).
(r - 14)*(r - 2)*(r - 1)
Let v be (161/(-539))/(-23)*7. Factor v*s**2 - 4/11*s**3 + 0 - 1/11*s**4 + 4/11*s.
-s*(s - 1)*(s + 1)*(s + 4)/11
Let c = 51 + -29. Determine q so that -2*q - 21 + 0*q + c + q**2 = 0.
1
Factor 20/7 + 22/7*g + 2/7*g**2.
2*(g + 1)*(g + 10)/7
Find s such that 68*s**2 - 52*s**4 + 3*s**5 - 32*s + s**5 - 8*s - 12*s**3 + 32*s**4 = 0.
-2, 0, 1, 5
Let m = -242/19 - -1248/95. Solve m*p**5 - 2/5*p**2 + 2/5*p**4 + 0 - 6/5*p**3 + 4/5*p = 0.
-2, -1, 0, 1
Suppose 3*f = 2*c - c - 25, 3*c - 2*f - 96 = 0. Let y be 4/c - (-56)/102. Suppose -y - 4/3*n - 2/3*n**2 = 0. What is n?
-1
Suppose -12 = 3*q, -2*w - 4 = -5*q - 24. Factor -2*o**3 + 0*o**4 - 2*o**4 + o + w*o**4 + o**5 - 80 + 78 + 4*o**2.
(o - 2)*(o - 1)**2*(o + 1)**2
Factor -6/11 + 8/11*n - 2/11*n**2.
-2*(n - 3)*(n - 1)/11
Let h(z) = -8*z + 6. Let t be h(0). Factor -9*i**2 + t*i**2 + i**3 + 3*i**2 - i.
i*(i - 1)*(i + 1)
Let t(y) be the first derivative of -y**2/2 + 13*y - 3. Let m be t(10). Factor -3*a - 7*a**4 + 9*a**4 - 14*a**4 + 12*a**2 + 3*a**m.
-3*a*(a - 1)*(a + 1)*(4*a - 1)
Let k = 1228/29 + -3655/87. Factor 1/3*b**2 - k*b**3 + 2/3*b + 0.
-b*(b - 2)*(b + 1)/3
Let c(b) = -10*b + 42. Let y be c(11). Let f be (y/10 - -2)*(-2)/6. Find h such that -8/5*h + 2*h**5 - f + 46/5*h**4 + 34/5*h**2 + 14*h**3 = 0.
-2, -1, 2/5
Let c = 113 - 106. Let k(p) = -p**3 + 7*p**2 - 3*p + 21. Let n be k(c). Determine t so that 0*t + n + 2/7*t**2 = 0.
0
Let t(i) be the first derivative of -20*i + 15/2*i**2 + 5/3*i**3 + 15. Solve t(c) = 0 for c.
-4, 1
Let y be 4 + -1 + -1 - -9. Suppose 3*q**4 + 2*q**4 + 25*q**3 + y*q**2 + 24*q**2 + 15*q = 0. Calculate q.
-3, -1, 0
Suppose -558/13*s**3 - 168/13*s + 162/13*s**4 + 16/13 + 548/13*s**2 = 0. What is s?
2/9, 1, 2
Let q be 0 + (3/2 - (-1)/2). Suppose -q*b = 4*b - 4*b. Factor 0*d + b + 3/2*d**5 + 0*d**3 - 9/2*d**4 + 6*d**2.
3*d**2*(d - 2)**2*(d + 1)/2
Let p(x) = 9*x**4 + 10*x**3 - 95*x**2 - 104*x - 4. Let q(m) = 26*m**4 + 30*m**3 - 285*m**2 - 311*m - 11. Let w(a) = -11*p(a) + 4*q(a). Factor w(o).
5*o*(o - 4)*(o + 1)*(o + 5)
Factor 1/4*p**5 + 0*p - 1/2*p**3 - 1/4*p**4 + 0*p**2 + 0.
p**3*(p - 2)*(p + 1)/4
Let d(t) be the first derivative of 1/2*t**3 + 0*t + 0*t**2 - 1/8*t**4 - 5. Find w such that d(w) = 0.
0, 3
Let z(w) = -2*w**2 + 25*w + 24. Let o be z(19). Let r = o - -1121/5. Determine u so that 1/5*u**5 + 3/5*u + 12/5*u**3 + r*u**4 + 0 + 2*u**2 = 0.
-3, -1, 0
Let w = -36 + 38. Let -7 + k**3 - 8 - 2*k**3 + 6*k**3 - 25*k - 5*k**w = 0. What is k?
-1, 3
Let 145*n - 65*n + 99*n + 127*n - 4*n**2 - 58*n - 3844 = 0. What is n?
31
Let q = -23 - -32. Factor q*w**5 - 3*w**3 - 12*w**5 + 2*w**2 - 3*w**4 + 11*w**4 - 4*w**3.
-w**2*(w - 1)**2*(3*w - 2)
Suppose 4*p - 74 + 66 = 0. Suppose 0 = -3*c + 3*b + 24, 0*c - 4*c + 31 = -3*b. Factor 6*h**2 + 0*h - p*h - c*h**2.
-h*(h + 2)
Suppose -p - 51 = -4*t, -4*t + 2*p + 76 = 6*p. Factor 49*j**2 + t*j - 53*j**2 - 1 - 5 - 2 - 2*j**3.
-2*(j - 1)**2*(j + 4)
Solve -242/7 - 44/7*v - 2/7*v**2 = 0.
-11
Let x(y) = -y**2 + 13*y + 6. Let h be x(13). Suppose -h*t + t - 3 = 3*k, 3*k + 3*t - 3 = 0. Determine l, given that -16*l**3 + 16*l**2 - k*l - 32 + 32 = 0.
0, 1/2
Let i(d) be the second derivative of -d**6/15 - 2*d**5/5 + 5*d**4/6 + 29*d. Solve i(t) = 0.
-5, 0, 1
Suppose -3*w = -4*w - 5. Let f be (w/(-10))/(4/12). Let -f*z**2 + 0 + 3/2*z**3 - 3*z = 0. Calculate z.
-1, 0, 2
Let t = 18/35 - 382/1015. Let o = 67/145 + t. Suppose -o + 12/5*n**2 - 9/5*n = 0. Calculate n.
-1/4, 1
Let n(k) = -k - 2. Let r(y) = 5*y**3 + 14*y**2 + 9*y - 4. Let w(b) = -12*n(b) + 3*r(b). Factor w(x).
3*(x + 1)**2*(5*x + 4)
Solve 0 - 40*k**3 - 27*k**4 + 107*k**4 + 12*k - 31*k**3 - 88*k**2 - 25*k**3 + 8 + 84*k**5 = 0 for k.
-1, -2/7, 1/3, 1
Let k be 38 - 39 - 45/(-39). Determine l, given that k*l**2 + 0*l - 2/13 = 0.
-1, 1
Let f(p) = p**4 - p**3 + p**2 - p. Let k(w) = -18*w**4 - 38*w**3 - 10*w**2 + 2*w. Suppose -11 = -4*v - 3. Let m(n) = v*f(n) - k(n). Suppose m(h) = 0. What is h?
-1, 0, 1/5
Let j(d) be the first derivative of -d**6/12 + d**5/2 - 7*d**4/8 - d**3/6 + 2*d**2 - 2*d + 67. Determine o so that j(o) = 0.
-1, 1, 2
Let n(u) be the second derivative of -2*u**7/21 - 14*u**6/15 + 2*u**5/5 + 46*u**4/3 - 130*u**3/3 + 50*u**2 + 285*u. Factor n(w).
-4*(w - 1)**3*(w + 5)**2
Let k be (3/9)/((-88)/(-84) + -1). Let w(t) be the third derivative of 0 + 3*t**2 - 1/1050*t**k + 0*t + 0*t**4 + 0*t**3 + 1/300*t**5 + 0*t**6. Factor w(p).
-p**2*(p - 1)*(p + 1)/5
Let t = 2070217/50005 - 2/10001. Let g = t + -41. Factor -g*b**4 - 2/5 + 0*b + 4/5*b**2 + 0*b**3.
-2*(b - 1)**2*(b + 1)**2/5
Let j(v) be the third derivative of v**7/210 - v**6/60 + v**5/60 - 5*v**2 + 10*v. What is p in j(p) = 0?
0, 1
Let n(w) = 4*w**4 + 3*w**3 + 14*w**2 + 3*w - 6. Let i(o) = -7*o**4 - 5*o**3 - 27*o**2 - 5*o + 11. Let p(t) = 6*i(t) + 11*n(t). What is s in p(s) = 0?
-3, 0, 1/2, 1
Let n = 9 + -136/15. Let z = n + 317/30. Let z*f + 25/4*f**2 + f**3 + 9/4 = 0. What is f?
-3, -1/4
Let l(v) = -14*v**3 - 20*v**2 - 61*v - 28. Let b(h) = 6*h**3 + 10*h**2 + 30*h + 14. Let i(o) = 9*b(o) + 4*l(o). Factor i(p).
-2*(p - 7)*(p + 1)**2
Let g(r) = r**3 - 5*r**2 + 43*r - 152. Let h be g(4). Let 1/6*y**2 - 1/6*y + 1/6*y**3 - 1/6*y**h + 0 = 0. What is y?
-1, 0, 1
Factor 0*b**3 - 18*b**2 + b**3 - 71372*b + 71333*b - 20.
(b - 20)*(b + 1)**2
Let k(a) = a**2 + 28*a + 4. Let v be k(0). Let -2/3*r**2 - 32/3 - 16*r - 2/3*r**4 + v*r**3 = 0. What is r?
-1, 4
Let o(s) be the first derivative of -45*s**3 - 3645*s - 45 + 5/4*s**4 + 1215/2*s**2. Let o(c) = 0. Calculate c.
9
Let c(l) be the second derivative of l**6/24 + 7*l**5/16 + 5*l**4/8 - 48*l. Factor c(n).
5*n**2*(n + 1)*(n + 6)/4
Solve -4*l**2 + 151 - 196 + 109 = 0 for l.
-4, 4
Let o(c) be the third derivative of c**5/270 - 2*c**4/27 + 4*c**3/9 + 21*c**2 - c. Find r such that o(r) = 0.
2, 6
Let f = -112 - -115. Suppose -3*g + 2*r = -17, g = -f*g + r + 16. Let 3/4*a**2 - 1/4*a**g + 1/4 - 3/4*a = 0. What is a?
1
Let i(l) be the first derivative of l**5/15 + 31*l**4/24 + 67*l**3/18 + 13*l**2/6 + 830. Let i(y) = 0. Calculate y.
-13, -2, -1/2, 0
Let b(z) be the third derivative of -z**6/540 - 67*z**5/90 - 4489*z**4/36 - 300763*z**3/27 - 134*z**2. Find n, given that b(n) = 0.
-67
Suppose -4*k = -k, -4*q + 8 = -k. Factor -15*g + g**q + g**2 + 3*g**2 + 11 - 1.
5*(g - 2)*(g - 1)
Let n(q) be the first derivative of q**5/20 + 3*q**4/4 - 2*q - 29. Let d(r) be the first derivative of n(r). Suppose d(w) = 0. What is w?
-9, 0
What is j in -4 - 1/6*j**5 + 3/2*j**4 + 5/2*j**2 - 25/6*j**3 + 13/3*j = 0?
-1, 1, 2, 3, 4
Let x(v) be the second derivative of v**5/5 + 9*v**4/8 + v**3 - 8*v**2 + 9*v. Let a(y) be the first derivative of x(y). Determine l so that a(l) = 0.
-2, -1/4
Factor 109 - 56 + 55 - 3*a**2 + 60*