lve 7/2*c**l - 7/2*c + 5/2*c**4 - 3/2*c**2 - 1 = 0 for c.
-1, -2/5, 1
Let a be 440/(-288) - (-14)/8. Let r(y) be the second derivative of 0 + 0*y**2 - a*y**3 + 2/9*y**4 - 6*y - 1/15*y**5. Factor r(v).
-4*v*(v - 1)**2/3
Suppose -5*f + 5*i + 6 = -f, f + 3*i = 10. Suppose -p + 2 = 2*z, -z + 4 = 5*p - 6. Factor 3*l**3 + z + 0*l + 3/2*l**f + 3/2*l**2.
3*l**2*(l + 1)**2/2
Let q(d) = -d**5 - d**4 + d**2 + d - 1. Let h(c) = 10*c**5 + 2*c**4 - 15*c**3 + 14*c**2 - 11*c + 11. Let x(r) = -2*h(r) - 22*q(r). Factor x(s).
2*s**2*(s - 1)*(s + 5)**2
Let r = 4279/5684 + -4/1421. Factor -6*w**2 - 21/4*w + r.
-3*(w + 1)*(8*w - 1)/4
Suppose 0 + 8/15*t**4 - 2/15*t**5 + 38/15*t**3 + 28/15*t**2 + 0*t = 0. What is t?
-2, -1, 0, 7
Suppose -2*q = -5*q + z + 7, 5*z = -3*q + 37. Factor -126*x**4 - x**2 + 4*x**2 + 3*x**5 + 9*x**3 + 135*x**q.
3*x**2*(x + 1)**3
Let l(g) = -3*g**2 + 4*g - 5. Let u(q) = -2*q + 5. Let x be u(8). Let o(b) = 8*b**2 - 11*b + 14. Let k(s) = x*l(s) - 4*o(s). Solve k(z) = 0 for z.
-1, 1
What is o in 1/2*o**4 + 1/10*o**5 + 9/10 - 7/5*o**2 - 3/10*o + 1/5*o**3 = 0?
-3, -1, 1
Let h be ((-5 + 6)*-1)/((-1)/24). Let a = h - 118/5. Factor 6/5*i**3 + 0 - 2/5*i**2 + 0*i - 6/5*i**4 + a*i**5.
2*i**2*(i - 1)**3/5
Let s(m) be the third derivative of m**7/42 + m**6/24 - 3*m**5/4 - 15*m**4/8 + m**2 + 85. Factor s(b).
5*b*(b - 3)*(b + 1)*(b + 3)
Let o(f) be the first derivative of 5*f**4/4 - 25*f**3/3 + 15*f**2/2 - 9*f - 16. Let b(g) be the first derivative of o(g). Suppose b(z) = 0. Calculate z.
1/3, 3
Let r = -136 - -53. Let q be 3/12 + r/28 + 4. Factor q*c**2 - 6/7 - 15/7*c.
3*(c - 2)*(3*c + 1)/7
Suppose 0 = -0*k + k + 1. Let b(a) = -5*a - 1. Let q be b(k). Let -2*h**3 + 3 + q*h**3 - 3 - 2*h**2 = 0. What is h?
0, 1
Let m(l) be the second derivative of -l**5/90 + l**3/27 + 57*l + 1. Let m(b) = 0. Calculate b.
-1, 0, 1
Let g(r) = r**2 + 4*r + 7. Let q(v) be the second derivative of v**2/2 + 6*v. Let f(i) = -g(i) + 3*q(i). Factor f(h).
-(h + 2)**2
Suppose -2*y - 21*b + 22*b + 3 = 0, 2*y = -4*b + 28. Let -4/3*k**y + 2/3*k**5 - 4/3*k**3 + 8/3*k**2 - 4/3 + 2/3*k = 0. What is k?
-1, 1, 2
Let t be ((1 - 1) + 8)*67/201. Factor 2/3*x**2 - t + 2*x.
2*(x - 1)*(x + 4)/3
Let d(i) be the second derivative of i**6/15 - 33*i**5/20 + 21*i**4/4 + 320*i**3/3 + 150*i**2 + 28*i + 1. Let d(s) = 0. What is s?
-3, -1/2, 10
Let q(c) be the second derivative of c**5/60 + 10*c**4/9 - 83*c**3/18 + 7*c**2 - 83*c. Factor q(l).
(l - 1)**2*(l + 42)/3
Let v(p) = 7*p**4 + 85*p**3 + 721*p**2 - 1685*p + 887. Let h(o) = 4*o**4 + 43*o**3 + 361*o**2 - 843*o + 444. Let f(d) = -5*h(d) + 3*v(d). Factor f(j).
(j - 1)**2*(j + 21)**2
Let u(x) be the first derivative of -x**7/126 + x**6/15 - 2*x**5/15 - x**4/6 + x**3/2 - 36*x + 50. Let r(v) be the first derivative of u(v). Solve r(s) = 0.
-1, 0, 1, 3
Let y(m) = -10*m**2 + 2*m + 1. Let k be y(-1). Let g = k - -101/9. Let 32/9*o**2 - 16/9*o + g = 0. What is o?
1/4
Let x(d) be the second derivative of d**7/63 - 2*d**6/45 - d**5/10 + 2*d**4/9 + 4*d**3/9 + 2*d - 202. Find k such that x(k) = 0.
-1, 0, 2
Let t(b) be the first derivative of 2*b**2 + 7 + 0*b - 2*b**3 + 2/3*b**4 - 1/15*b**5. Let o(q) be the second derivative of t(q). Factor o(s).
-4*(s - 3)*(s - 1)
Let r(a) be the third derivative of a**6/48 - 7*a**5/6 - 145*a**4/48 - a**2 + 138*a. Factor r(v).
5*v*(v - 29)*(v + 1)/2
Let a(j) be the third derivative of 4*j**7/315 - 7*j**6/180 + j**5/45 + j**4/36 + j**2 + 10*j. Factor a(z).
2*z*(z - 1)**2*(4*z + 1)/3
Let x be (-56)/8 + 9 + (-17)/(-17). Let 9*y**2 + 0 - 24*y**4 + 9/2*y**5 - 39/2*y**x + 0*y = 0. Calculate y.
-1, 0, 1/3, 6
Let z(f) = 12*f**2 + 62*f - 64. Let c(p) = p**2 - p + 1. Let r(d) = 20*c(d) - 2*z(d). Factor r(i).
-4*(i - 1)*(i + 37)
Let p be 0/(-2*3 - -2). Factor -2*u**4 - 4*u**3 - 9*u**2 + 7*u**2 + p*u**3.
-2*u**2*(u + 1)**2
Solve -16/3*d**2 - 2/3*d + 2/3*d**3 + 16/3 = 0.
-1, 1, 8
Suppose 1/5*q**4 + 207/5*q + 162/5 - 3*q**3 + 29/5*q**2 = 0. Calculate q.
-2, -1, 9
Let a be (-4*(-3)/(-15))/(960/(-600)). Suppose -a + j - 1/2*j**2 = 0. What is j?
1
Suppose -56 = -5*d + 2*d + j, 4*d = 2*j + 72. Let y = d - 18. Solve 1 + s + 1/4*s**y = 0.
-2
Let j(a) be the third derivative of a**6/840 + 29*a**5/420 + 11*a**4/7 + 120*a**3/7 + 542*a**2. Let j(i) = 0. What is i?
-12, -5
Let k = 10 + -17. Let i be k/(-14) - (-3)/2. Factor g**2 - 8*g**3 - 3*g**4 + 2*g**3 + i*g + 4*g + 2*g**2.
-3*g*(g - 1)*(g + 1)*(g + 2)
Let p(q) be the second derivative of q**5/12 + 5*q**4/12 - 10*q**3 + 80*q**2/3 - 12*q + 6. Solve p(g) = 0 for g.
-8, 1, 4
Suppose 4*p - 12 = -5*t, 5*p + 14 = 2*t - 4. Factor 12*w - 4*w**5 - 21*w + 13*w + 4*w**2 + t*w**2 - 8*w**4.
-4*w*(w - 1)*(w + 1)**3
Let o be ((-40)/(-12))/(4/18). Solve 7*m**2 - 15*m - 5 + o*m**3 - 2*m**2 + 0*m = 0 for m.
-1, -1/3, 1
Let g(x) be the first derivative of -2*x**5/105 - x**4/6 - 8*x**3/21 + 4*x**2/21 + 32*x/21 - 94. What is n in g(n) = 0?
-4, -2, 1
Let h(n) = -n**4 - n - 1. Let m(q) be the first derivative of 2*q**5 + 5*q**4/2 + 35*q**3/3 + 35*q**2/2 + 15*q - 57. Let v(a) = -15*h(a) - m(a). Factor v(j).
5*j*(j - 4)*(j + 1)**2
Let g(h) be the third derivative of 0*h + 0 + 1/120*h**5 - 1/3*h**3 + 1/16*h**4 + 2*h**2. Factor g(c).
(c - 1)*(c + 4)/2
Find q, given that 1267*q + 6*q**3 + 18*q**2 + 24 + 2*q**3 - 1317*q = 0.
-4, 3/4, 1
Let u be ((-14 - -6) + 3)*(-6)/10. Let p(b) be the first derivative of 2/3*b**u + 2*b**2 - 3 + 0*b. Factor p(r).
2*r*(r + 2)
Suppose -32*l + 24 + 44 = 4. Determine k so that 1/4*k**5 - 9/2 + 3/2*k**4 - 5*k**l - 39/4*k + 3/2*k**3 = 0.
-3, -1, 2
Let t be (128/240*(-3)/(-4))/((-2)/(-4)). Factor -2/5 + 2/5*q**4 - 4/5*q**3 + 0*q**2 + t*q.
2*(q - 1)**3*(q + 1)/5
Solve 115*g**3 - 561*g + 10*g**4 + 210*g**2 - 97 + 26*g + 297 = 0.
-8, -5, 1/2, 1
Let u(c) be the third derivative of -c**8/336 + c**7/30 + 3*c**6/40 - 7*c**5/60 - c**4/3 - 4*c**2 + 49. Determine h, given that u(h) = 0.
-1, 0, 1, 8
Let b(l) be the third derivative of -l**8/448 - 5*l**7/504 - l**6/144 + l**5/24 - 25*l**4/24 - l**2. Let r(k) be the second derivative of b(k). Factor r(h).
-5*(h + 1)**2*(3*h - 1)
Let d be (-11 - 180/(-16))/((-10)/(-16)). Factor -2*p**2 + 8/5 + d*p.
-2*(p - 1)*(5*p + 4)/5
Let w = -39766/45 + 7964/9. Factor 2/5 + 6/5*r + 2/5*r**3 + w*r**2.
2*(r + 1)**3/5
Let m = 36/133 - 58/1197. Factor 32/9 + 16/9*l + m*l**2.
2*(l + 4)**2/9
Let u(h) be the second derivative of 26*h**6/15 + 54*h**5/5 - 5*h**4/3 - 36*h**3 - 16*h**2 + 195*h. Determine b so that u(b) = 0.
-4, -1, -2/13, 1
Suppose 0 = -5*m + x + 3, -m - 9 = -4*x + 7*x. Let f(h) be the second derivative of -1/4*h**3 - 1/24*h**4 + 0 + h + m*h**2. Determine b, given that f(b) = 0.
-3, 0
Let x(k) = -k**5 - 6*k**4 - 35*k**3 + 9*k**2 + 36*k. Let n(d) = -2*d**5 - 10*d**4 - 70*d**3 + 17*d**2 + 72*d. Let j(z) = 6*n(z) - 14*x(z). Factor j(p).
2*p*(p - 1)*(p + 1)*(p + 6)**2
Let y(w) be the first derivative of -w**4/21 + 2*w**3/21 + 18*w + 13. Let m(p) be the first derivative of y(p). Factor m(a).
-4*a*(a - 1)/7
Let h = -275 + 475. Let k = h - 397/2. Determine z so that -15/4*z**2 + 3/4*z**4 - k*z - 9/4*z**3 + 0 + 3/4*z**5 = 0.
-1, 0, 2
Let w(l) = 2*l. Let r(q) = -4*q**2 - q - 3. Let m(i) = 7*i**2 + 2*i + 5. Let p(s) = 6*m(s) + 10*r(s). Let b(a) = 2*p(a) - 6*w(a). Suppose b(x) = 0. What is x?
0, 2
Let -95*t**4 + 74*t**4 - 5*t**3 + 21*t**3 + 69*t**4 + 20*t**5 = 0. What is t?
-2, -2/5, 0
Suppose 30 = -u - 4*u. Let o be (-48)/(-14) - u/(-14). Solve -2/13*i - 2/13 + 2/13*i**o + 2/13*i**2 = 0 for i.
-1, 1
Factor 3/4*j**3 + 3/4*j**2 + 0 - 3/2*j.
3*j*(j - 1)*(j + 2)/4
Let m(s) be the second derivative of -25/6*s**3 + 0 + 0*s**2 - 5/12*s**4 - 33*s. Factor m(k).
-5*k*(k + 5)
Determine d so that 6*d**2 + 0*d**2 - 3*d**5 - 20*d + 12*d**3 - 6*d**4 - 24*d + 35*d = 0.
-3, -1, 0, 1
Let h(f) = 39*f**4 - 195*f**3 - 612*f**2 + 195*f + 546. Let j(u) = 3*u**4 - 15*u**3 - 47*u**2 + 15*u + 42. Let x(a) = -2*h(a) + 27*j(a). Solve x(q) = 0.
-2, -1, 1, 7
Let y(h) be the first derivative of h**6 + 28*h**5/5 + 5*h**4/2 - 28*h**3/3 - 8*h**2 - 288. Suppose y(a) = 0. Calculate a.
-4, -1, -2/3, 0, 1
Suppose -5*r + 36 = 4*n, 4*n + r - 5 = 15. Let f(m) be the third derivative of 3/2*m**n + 1/40*m**6 - 3*m**2 + 0 - 4*m**3 - 3/10*m**5 + 0*m. Solve f(o) = 0.
2
Suppose -4*k - 3*c = 1 + 17, 0 = -3*k + 4*c - 26. Let v be -1