 + 30*s**2 - 10*s**2.
4*(s - 1)*(s + 3)*(3*s - 1)
Let a(z) be the third derivative of -z**7/12600 - z**6/200 - 27*z**5/200 - 7*z**4/8 - 21*z**2. Let g(l) be the second derivative of a(l). Factor g(u).
-(u + 9)**2/5
Suppose 131*m - 130*m - 2 = -3*h, -2*h + 5*m = -24. Let n(z) be the first derivative of -2/15*z**3 + 0*z**h + 0*z + 9. Find b, given that n(b) = 0.
0
Let x(z) = 3*z + 3. Let m be x(-2). Let d be (m/(-4))/(3/12). Factor 2*y**d + 8*y**4 + 2*y**3 + 2*y**4.
2*y**3*(5*y + 2)
Let x(g) be the second derivative of 1/32*g**4 + 0 + 11*g - 3/16*g**3 + 3/8*g**2. Find r such that x(r) = 0.
1, 2
Let d be 7 - (2 + (-2 - -5)). Suppose -2*o - d*k = -14, -2*o + 3*k + 1 = -3. Factor -9/2*t**3 - 3/4*t**o + 0 - 3*t**2 - 3/4*t - 3*t**4.
-3*t*(t + 1)**4/4
Let c(n) = 5*n**2 - 23*n + 14. Let x(d) = -3*d**2 + 13*d - 8. Let s(q) = 4*c(q) + 7*x(q). Factor s(l).
-l*(l + 1)
Let m(o) be the second derivative of -o**6/420 + o**4/7 + 16*o**3/21 + 12*o**2 + 30*o. Let d(c) be the first derivative of m(c). Suppose d(n) = 0. What is n?
-2, 4
Let z(q) be the third derivative of 0 + 0*q**3 - 32/33*q**4 - 30*q**2 + 1/385*q**7 + 0*q + 23/330*q**6 + 16/33*q**5. Suppose z(u) = 0. Calculate u.
-8, 0, 2/3
What is i in -63/2*i - 2*i**3 + 35/2*i**2 - 9 = 0?
-1/4, 3, 6
Let q = -8 - -8. Let o(j) = j**2 + 2. Let t be o(q). Factor -2*g**2 + 2*g**2 + 0*g + t*g + g**2.
g*(g + 2)
Let b(d) be the second derivative of d - 5/12*d**3 - 7/12*d**2 - 6 - 1/36*d**4. Factor b(p).
-(p + 7)*(2*p + 1)/6
Let b be (-10)/34*11852/(-1450). Let s = -2/493 + b. Suppose 4/5*i**2 - s*i + 8/5 = 0. What is i?
1, 2
Let k be (4/14)/(-12 + 1197/98). Let b(a) be the first derivative of 5 + 0*a**2 + 0*a - k*a**3. Solve b(s) = 0.
0
Let u(o) be the third derivative of o**6/450 + o**5/25 - 7*o**4/30 - 17*o**3/6 - 7*o**2. Let t(l) be the first derivative of u(l). Solve t(b) = 0.
-7, 1
Factor -231*p - 9*p**2 + 4075 - 4309 + 12*p**2.
3*(p - 78)*(p + 1)
Let s(b) = b**3 - 21*b**2 + 35*b + 39. Let n be s(19). Let d be 12*18/9*(-1)/n. Factor 2/3*r**2 + d*r + 2/3.
2*(r + 1)**2/3
Let h(m) be the second derivative of 5/4*m**4 - 1/4*m**5 + 0 + 0*m**3 - 10*m**2 - 7*m. What is x in h(x) = 0?
-1, 2
Let x(f) = -5*f**5 + 145*f**4 - 1180*f**3 + 980*f**2 - 30*f + 30. Let s(u) = 2*u**3 + u - 1. Let t(w) = -30*s(w) - x(w). Factor t(a).
5*a**2*(a - 14)**2*(a - 1)
Suppose 41*t**2 + 21*t - 31*t + 100 - 43*t**2 = 0. Calculate t.
-10, 5
Let k(u) be the third derivative of 0 + 0*u**3 - 13*u**2 - 1/360*u**6 + 1/360*u**5 + 1/1260*u**7 + 0*u + 0*u**4. Let k(q) = 0. What is q?
0, 1
Factor 3/7*t + 15*t**2 + 0.
3*t*(35*t + 1)/7
Let h(s) = 2*s**2 + s - 4. Let b be h(2). Let j be 1 - (b/7)/2. Factor -3/7*c**2 - 4/7*c + j.
-(c + 2)*(3*c - 2)/7
Suppose 7*q + 87 = -18. Let c be 6/21 - q/70. Factor z**2 - z**3 + 1/2*z + 1/2*z**5 - c*z**4 - 1/2.
(z - 1)**3*(z + 1)**2/2
Determine n so that -257*n - 85*n**3 + 451*n**2 - 63*n + 139*n**2 + 5*n**4 - 190*n**2 = 0.
0, 1, 8
Factor -22/5 + 1/5*b**2 + 9/5*b.
(b - 2)*(b + 11)/5
Suppose 81 = 5*l - j, -11 + 8 = 3*j. Let -13/3*g**3 + l*g**4 + 2/3*g - 5/3*g**2 - 12*g**5 + 0 = 0. What is g?
-1/3, 0, 1/2, 2/3
Suppose -15 = g + 5*t, 0 = -g - 0*g + 4*t + 12. Let u be (6/8 + 0)/(108/432). Factor g*l + 0 + 0*l**u - 2/7*l**4 + 2/7*l**2.
-2*l**2*(l - 1)*(l + 1)/7
Let j = 57 + -54. Determine z so that -j*z**3 + 11*z**2 - 6 + 3*z - 15*z**2 + 10*z**2 = 0.
-1, 1, 2
Let k = 4/965 - -1918/2895. Factor 0*y + 2/3*y**5 + 2/3*y**2 - 2/3*y**4 + 0 - k*y**3.
2*y**2*(y - 1)**2*(y + 1)/3
Suppose 8 = 5*u - u. Find r such that 12*r - 28*r - 31 - 1 - 2*r**u = 0.
-4
What is w in 62*w + 183*w**3 - 9*w**2 + 2*w - 185*w**3 + 71*w**2 = 0?
-1, 0, 32
Suppose -4*t - 3*u = -6*u - 3, 4 = 3*t - 4*u. Suppose t*y = y - 3. Factor 6*x**5 - x**5 - 2*x**2 - y*x**5 - 4*x**4 + 6*x**2 - 2*x.
2*x*(x - 1)**3*(x + 1)
Let d(r) be the third derivative of 1/540*r**6 + 0*r + 28*r**2 - 25/27*r**3 - 11/270*r**5 + 0 + 35/108*r**4. Factor d(i).
2*(i - 5)**2*(i - 1)/9
Suppose -25 = -5*u, 2*u = -2*v - 9 + 27. Let k(w) be the first derivative of 2/5*w + 1/10*w**v - 4 - 2/15*w**3 - 1/5*w**2. Factor k(q).
2*(q - 1)**2*(q + 1)/5
Suppose -4*j + 91 - 27 = 0. Factor -4*o - 28*o**2 + 10 - j*o - 2.
-4*(o + 1)*(7*o - 2)
Let s(y) be the second derivative of -2*y**6/15 + 18*y**5/5 - 109*y**4/3 + 168*y**3 - 392*y**2 + 126*y. Factor s(k).
-4*(k - 7)**2*(k - 2)**2
Let d(n) be the second derivative of -1/135*n**6 - 4/27*n**3 + 0 - 1/9*n**4 - 2/45*n**5 - 4*n - 1/9*n**2. Factor d(f).
-2*(f + 1)**4/9
Let g(w) = w**2 - 10*w + 26. Let b be g(7). Factor 2*s**3 - 9*s - 10 - 4*s**2 + s**2 - s**3 + b.
(s - 5)*(s + 1)**2
Let x(q) be the second derivative of q**6/600 - q**4/40 - q**3 + 4*q. Let c(w) be the second derivative of x(w). Solve c(j) = 0.
-1, 1
Let u(v) = 3*v + 27. Let f(s) = -s - 9. Let w(h) = 7*f(h) + 2*u(h). Let d be w(-11). Factor -10 - 18*m - 3*m**d - 9 - 8.
-3*(m + 3)**2
Let j = -19591 - -19595. Solve 8/3*x - 4/3*x**j + 40/3*x**2 - 14/3*x**5 + 0 + 14*x**3 = 0 for x.
-1, -2/7, 0, 2
Let k be (-76)/(-96) - ((-21)/56)/(-3). Let b(d) be the second derivative of -k*d**4 - 2/21*d**7 + 0 + 2*d**3 - 3*d - 2*d**2 + 2/5*d**6 - 2/5*d**5. Factor b(c).
-4*(c - 1)**4*(c + 1)
Let w(k) be the first derivative of -4*k**3/9 - k**2/3 + 4*k - 257. Find z such that w(z) = 0.
-2, 3/2
Suppose -2*v**2 + 39*v + 0*v - 106 + 47*v + 22*v = 0. Calculate v.
1, 53
Factor -1/3*s**3 - 15*s**2 - 176*s - 484/3.
-(s + 1)*(s + 22)**2/3
Let h(y) be the second derivative of y**7/4620 - y**6/990 + y**5/660 + 11*y**4/12 + 7*y. Let j(t) be the third derivative of h(t). Suppose j(g) = 0. What is g?
1/3, 1
Let x(t) be the second derivative of t**7/10080 + t**6/240 + 3*t**5/40 - 3*t**4/4 - 2*t. Let p(m) be the third derivative of x(m). Factor p(g).
(g + 6)**2/4
Let 0 + g + 1/6*g**2 - 1/6*g**3 = 0. Calculate g.
-2, 0, 3
Let a(m) be the third derivative of 1/210*m**7 + 0*m**5 - 8*m**2 + 0 + 0*m**4 - 1/240*m**6 - 1/672*m**8 + 0*m**3 + 0*m. What is j in a(j) = 0?
0, 1
Factor 32/21 + 16/21*x**3 + 2/21*x**4 + 16/7*x**2 + 64/21*x.
2*(x + 2)**4/21
Let z(f) be the second derivative of f**8/2240 - f**7/280 + f**6/80 - f**5/40 + f**4/32 - f**3/6 - 2*f. Let d(b) be the second derivative of z(b). Factor d(l).
3*(l - 1)**4/4
Let x(l) be the first derivative of 10/3*l**3 + 15/4*l**4 - 1 + 0*l - 5/6*l**6 + 0*l**2 + 0*l**5. Find s such that x(s) = 0.
-1, 0, 2
Let a(k) = -10 + k**2 + 7 + 1 - k + 1. Let n(f) = -5*f**2 - 4*f - 1. Let t(c) = -2*a(c) - n(c). Let t(m) = 0. Calculate m.
-1
Let g(v) be the third derivative of -v**5/20 + v**4/2 - 3*v**3/2 - 175*v**2. What is h in g(h) = 0?
1, 3
Let m(u) be the second derivative of -u**7/1120 + u**6/480 + u**5/80 + 11*u**3/6 + 15*u. Let i(p) be the second derivative of m(p). Factor i(k).
-3*k*(k - 2)*(k + 1)/4
Let j(f) = f**2 + 1. Let z(d) = 8*d**2 + 9*d - 11. Let x(u) = 3*j(u) - z(u). Let n(l) = -5*l**2 - 10*l + 15. Let m(w) = -6*n(w) + 5*x(w). Factor m(o).
5*(o - 1)*(o + 4)
Let z(a) be the second derivative of 0 + 4/3*a**3 - 2*a**2 - 5/12*a**4 - 26*a + 1/20*a**5. Factor z(k).
(k - 2)**2*(k - 1)
Let n(k) be the second derivative of -3*k**5/100 - k**4/4 + 296*k. Solve n(t) = 0 for t.
-5, 0
Let k(a) be the second derivative of -a**4/3 - 4*a**3/3 + 96*a**2 - 7*a + 28. Factor k(f).
-4*(f - 6)*(f + 8)
Let f = 34 + -30. Suppose -5*r + 3 = -3*j + 9, -5*r + f = 2*j. Factor 0 + r*w**2 - 1/7*w**4 + 0*w + 2/7*w**3.
-w**3*(w - 2)/7
Let k = 851 - 846. Let t(n) be the first derivative of k*n**3 - 9/4*n**4 - 8 - 3*n**2 + 0*n. Factor t(r).
-3*r*(r - 1)*(3*r - 2)
Let 26*z**3 + 2808*z**4 - 17*z**2 - 11*z**2 - 2806*z**4 = 0. Calculate z.
-14, 0, 1
Suppose 5*s - 25 = -2*t, 2*s - 3*t = -2*t + 10. Determine j, given that -24*j - 4 + 3*j**3 - s*j**3 + 30*j = 0.
-2, 1
Let z(y) = -93*y**2 + 4707*y + 4692. Let c(w) = -7*w**2 + 362*w + 361. Let a(h) = -27*c(h) + 2*z(h). Solve a(k) = 0.
-1, 121
Let q(l) be the third derivative of -l**8/6720 + l**7/1680 + 3*l**5/10 - 12*l**2. Let w(t) be the third derivative of q(t). Determine o, given that w(o) = 0.
0, 1
Determine p, given that -83*p + 54 + 87/2*p**2 + 1/4*p**4 - 33/4*p**3 = 0.
2, 27
Let k(i) be the first derivative of -8/3*i + 4/15*i**5 + 10/3*i**2 - 1/3*i**4 + 9 - 4/3*i**3. Determine y so that k(y) = 0.
-2, 1
Let z = -1254 - -3896/3. Let p = z + -44. Solve -10/3*u - 2/3 + 10/3*