 - 1206492/235. Let f = s - -946/705. Determine y so that 2/3*y**2 + f*y**3 - 2/3 - 4/3*y = 0.
-1, -1/2, 1
Let z(g) be the first derivative of 0*g - 2/3*g**3 + 1/4*g**4 - 1/30*g**5 + 3*g**2 + 5. Let n(y) be the second derivative of z(y). Let n(p) = 0. What is p?
1, 2
Let x(b) be the first derivative of 3*b**5/5 + 51*b**4/4 - 230. Factor x(n).
3*n**3*(n + 17)
Suppose -s = -4*u - 3, s - 5*s + 12 = -u. Suppose 11*v - 4*g + 26 = 14*v, 9*g - 47 = -v. Factor u - 2/5*q - 2/5*q**v.
-2*q*(q + 1)/5
Let s(a) be the third derivative of 9*a**6/40 - 717*a**5/20 - 121*a**4 - 162*a**3 + 693*a**2. Factor s(m).
3*(m - 81)*(3*m + 2)**2
Let v(x) be the second derivative of x**6/105 + 23*x**5/70 - x**4/42 - 23*x**3/21 + 527*x. Factor v(t).
2*t*(t - 1)*(t + 1)*(t + 23)/7
Let p = 18 - 15. Suppose 1 - p = -2*l + 2*o, -3*o - 13 = -5*l. Let 12*a - 12*a**5 + 8*a**2 - 3 + 16*a**l - 5 - 16*a**3 = 0. What is a?
-2, -1, 1
Let t = -80 - 151. Let w = 2547/11 + t. Factor -8/11 - 16/11*d - w*d**2.
-2*(d + 2)*(3*d + 2)/11
Let x(b) be the first derivative of -16 - 5/2*b**2 - 2*b**3 - 1/10*b**5 - 3/4*b**4 - 3/2*b. Let x(s) = 0. Calculate s.
-3, -1
Let s(u) be the first derivative of u**3/12 + 23*u**2/2 + 529*u - 339. Factor s(y).
(y + 46)**2/4
Let b = -534 + 534. Let u(p) be the second derivative of 1/5*p**6 - 21/20*p**5 + 0 + 0*p**2 - 1/2*p**4 + b*p**3 - 2*p + 1/2*p**7. Find k, given that u(k) = 0.
-1, -2/7, 0, 1
Let y(n) be the first derivative of 2*n + 0*n**2 - 1/2*n**3 + 7 - 1/4*n**4. Let z(h) be the first derivative of y(h). Factor z(o).
-3*o*(o + 1)
Factor -44/7*r - 240/7 + 4/7*r**2.
4*(r - 15)*(r + 4)/7
Let r = -779 - -779. Let b(n) be the first derivative of 5/3*n**3 + 5 + 0*n**2 - 5/4*n**4 + r*n. Suppose b(l) = 0. What is l?
0, 1
Let i(m) be the second derivative of m**7/8820 - m**6/360 - m**4/2 - 11*m. Let h(t) be the third derivative of i(t). Suppose h(f) = 0. What is f?
0, 7
Suppose 0 = 4*h + k - 16, 6*k - 19 = -h + 2*k. Determine o so that 5*o**4 - 13*o + 6*o + 10*o**3 - 5 - h*o = 0.
-1, 1
Let p(i) be the first derivative of 0*i**3 + 12 - 2*i - 2*i**2 + 2/5*i**5 + i**4. Find b such that p(b) = 0.
-1, 1
Find n, given that -28*n**3 + 398/5*n**2 + 24/5 - 98/5*n**4 - 184/5*n = 0.
-3, 2/7, 1
Factor 1/3*x**3 + 224/3*x + 29/3*x**2 + 196/3.
(x + 1)*(x + 14)**2/3
Let o be 105/12 + (-9)/(-36). Let x be -1*3/o*(-9)/6. Factor 0 + 0*t - x*t**2.
-t**2/2
Let l(t) = 8*t**3 - 10*t**2 - 32*t - 8. Let v(x) = 7*x**3 - 10*x**2 - 31*x - 9. Let c be 7/7*(-1 - -6). Let h(r) = c*l(r) - 6*v(r). Solve h(k) = 0 for k.
-1, 7
Let j(b) be the third derivative of 12*b**2 - 1/270*b**5 + 0 + 0*b**3 + 1/540*b**6 + 0*b + 0*b**4. Factor j(h).
2*h**2*(h - 1)/9
Let y = -145 - -147. Let o(l) be the first derivative of 0*l + 3 + 2/3*l**y - 2/9*l**3. Factor o(d).
-2*d*(d - 2)/3
Let o(i) = 7*i**3 - 4*i**2 + 41*i - 74. Let y(j) = -32*j**3 + 17*j**2 - 165*j + 297. Let d(r) = -9*o(r) - 2*y(r). Let d(l) = 0. Calculate l.
-8, 3
Let c be 11 + 8 + -10 - 6. Let f(b) be the first derivative of -4/9*b**c - 2 + 4/15*b**5 + 1/9*b**6 - 1/6*b**4 + 0*b + 0*b**2. Find z, given that f(z) = 0.
-2, -1, 0, 1
Let r(k) = -k**4 + 2*k**3 + 2*k**2 - 3*k + 3. Let s(p) = -4*p**4 + 8*p**3 + 7*p**2 - 11*p + 13. Let q(t) = 26*r(t) - 6*s(t). Solve q(z) = 0 for z.
-2, 0, 1, 3
Let m(j) be the first derivative of j**5/12 + 5*j**4/3 - j**2 + 29*j + 15. Let x(i) be the second derivative of m(i). Factor x(s).
5*s*(s + 8)
Factor -5*z - 13 + 6 - 14 + 25*z**2 + 5*z**3 - 4.
5*(z - 1)*(z + 1)*(z + 5)
Let j be ((-376)/24 - -16)/((-6)/27*-6). Solve 1/2*v**2 + j*v + 0 = 0.
-1/2, 0
Let a(y) = -y - 4. Let j be a(-4). Let h(b) be the first derivative of 0 + b**3 + j + 4. Factor h(q).
3*q**2
Factor -2/5*s**2 + 38/5*s + 132/5.
-2*(s - 22)*(s + 3)/5
Let h = 379 + -375. Let q(w) be the third derivative of 0*w + 0 - 1/12*w**h + 1/6*w**3 + 1/60*w**5 - 2*w**2. Factor q(l).
(l - 1)**2
Let f = 9 + -9. Suppose f = -4*o + 2*o + 4. Factor -6*n**2 - 3*n**3 + 0*n**4 - 8*n**3 + o*n**3 - 3*n**4.
-3*n**2*(n + 1)*(n + 2)
Suppose -8*d + 16 = 8. Suppose -25*o + 9*o + 48 = 0. Factor -1/2*y**o + d + 2*y**2 - 5/2*y.
-(y - 2)*(y - 1)**2/2
Let n(u) be the first derivative of 3*u**5/5 - 39*u**4/4 + 42*u**3 + 48*u**2 - 672*u + 534. Factor n(a).
3*(a - 7)*(a - 4)**2*(a + 2)
Let b(q) be the third derivative of 5*q**8/48 - 11*q**7/42 - q**6/4 + 7*q**5/6 - 5*q**4/24 - 5*q**3/2 - 647*q**2. Suppose b(u) = 0. Calculate u.
-1, -3/7, 1
Let m = -48 + 48. Suppose 2*c + m = 6. Factor 2/5*y**c + 0 + 0*y - 4/5*y**2.
2*y**2*(y - 2)/5
Suppose 6/13*s**5 - 140/13*s**2 + 16/13*s**4 - 126/13*s - 36/13 - 40/13*s**3 = 0. What is s?
-3, -1, -2/3, 3
Let r(d) be the second derivative of -5*d**4/16 - 153*d**3/8 + 93*d**2/4 + 195*d. Factor r(a).
-3*(a + 31)*(5*a - 2)/4
Let c be (9/(-6))/(5/30). Let i be (0 + -2)/((3 - 1) + c). Factor 2/7*a**3 + i*a + 0 + 4/7*a**2.
2*a*(a + 1)**2/7
Let k = 6009/854 - -13/122. What is f in -12/7 + 18/7*f**2 + k*f = 0?
-3, 2/9
Let y(b) be the second derivative of -b**6/30 + 9*b**5/10 - 109*b**4/12 + 42*b**3 - 98*b**2 + 147*b. Factor y(n).
-(n - 7)**2*(n - 2)**2
Let l = 1851 + -1848. Let y**l + 2/5*y + 0 + 7/5*y**2 = 0. What is y?
-1, -2/5, 0
Let -112/3*s**2 + 2/9*s**4 - 8/9*s + 448/9 - 106/9*s**3 = 0. Calculate s.
-2, 1, 56
Suppose 0 = s - 79 - 41. Factor 5*b**2 + 11 + s*b - 100*b + 9.
5*(b + 2)**2
Suppose -4 = 2*a - 0, -12 = -4*y + 2*a. Let n = 6 - 4. Solve k + k**n + 4*k - 3 + 1 + k**3 - 5*k**y = 0.
1, 2
Suppose -32*p**2 - 43*p**2 - 8*p**3 + 2*p**5 - 53*p**2 - 12*p**3 - 72 - 174*p + 8*p**4 = 0. What is p?
-3, -1, 4
Let m(i) = -20*i**3 - 8*i - 3. Let p(v) = 7*v**3 + 3*v + 1. Let f(q) = -4*m(q) - 11*p(q). Let c be f(1). Factor -c*l**2 + 3/2 - 3/2*l.
-3*(l + 1)*(2*l - 1)/2
Let j = 32 - 23. Let i(o) be the second derivative of o**5/20 + 3*o**3/2 - 2*o. Let t(w) = 4*w. Let r(d) = j*t(d) - 4*i(d). Factor r(f).
-4*f**3
Let i(o) = o**2 + 85*o + 112. Let d(c) = 74*c + 112. Let l(h) = 6*d(h) - 4*i(h). Solve l(n) = 0 for n.
-2, 28
Let k(q) be the third derivative of 0*q**3 + 0 + 12*q**2 - 1/480*q**6 + 1/240*q**5 - 1/840*q**7 + 1/1344*q**8 + 0*q**4 + 0*q. Factor k(j).
j**2*(j - 1)**2*(j + 1)/4
Let d be 140/140*(-15)/(-50)*(-10)/(-24). Factor -1/8*n**4 + 0 - 3/8*n**3 - 1/4*n + d*n**5 + 5/8*n**2.
n*(n - 1)**3*(n + 2)/8
Let d = 145/4 - 71/2. Factor 12*t - d*t**2 - 48.
-3*(t - 8)**2/4
Factor 7*u**2 + 4*u**2 - 9*u**2 - 2*u**3 - 48*u + 13*u**2 + 7*u**2 - 72.
-2*(u - 6)**2*(u + 1)
Let o(g) be the first derivative of g**8/420 - 2*g**7/105 + 2*g**6/45 + 34*g**3/3 + 6. Let k(v) be the third derivative of o(v). Factor k(y).
4*y**2*(y - 2)**2
Let d(l) = l**3 + 12*l**2 - 9*l + 56. Let j be d(-13). Factor 0*r**2 - 2/17*r**5 - 2/17*r**3 + 0 + 0*r - 4/17*r**j.
-2*r**3*(r + 1)**2/17
Let u = -49/33 - -5/3. Let k(f) = 2*f**2 - 59*f + 359. Let r be k(21). Factor 0 - 2/11*c + u*c**r.
2*c*(c - 1)/11
Let c = -1076859/55 + 19576. Let u = 38/11 + c. Factor -3/5*q**2 - 2/5*q + 3/5*q**4 + u*q**5 + 1/5*q**3 + 0.
q*(q - 1)*(q + 1)**2*(q + 2)/5
Let v(w) be the first derivative of -7*w**4/24 + 13*w**3/9 + 58*w**2/3 + 32*w/3 - 29. Factor v(u).
-(u - 8)*(u + 4)*(7*u + 2)/6
Let m = 214 + -212. Let o(u) be the third derivative of -1/54*u**5 - 4/27*u**3 + 2/27*u**4 + 1/540*u**6 - 4*u**m + 0 + 0*u. Suppose o(a) = 0. What is a?
1, 2
Let y(z) be the third derivative of 11*z**5/12 + 95*z**4/8 + 25*z**3/3 + 2*z**2 - 163*z. Solve y(j) = 0.
-5, -2/11
Let j(w) be the second derivative of 3/10*w**4 - 3/25*w**5 + 1/75*w**6 + 0 - 38*w + 0*w**2 + 0*w**3. Factor j(x).
2*x**2*(x - 3)**2/5
Let j(w) = 2*w**3 - 13*w**2 + 8*w - 7. Let a be j(6). Let t(b) be the first derivative of -1/12*b**3 - 9/4*b - a + 3/4*b**2. Solve t(p) = 0.
3
Let p(g) = -g**3 - 3*g**2 + 3*g + 8. Let c be p(-4). Let 8 - c*o**2 - 4*o - o**5 + 4*o**2 - 8*o**2 + 8*o**4 + 8*o**3 - 3*o**5 = 0. What is o?
-1, 1, 2
Let h(m) be the third derivative of -m**8/112 + 9*m**7/70 + 11*m**6/40 - 9*m**5/20 - 5*m**4/4 + 403*m**2. Suppose h(t) = 0. Calculate t.
-1, 0, 1, 10
Let v(b) = 2*b**2 + 18*b - 7. Let l(z) = z**2 + 10*z - 4. Let k(f) = -7*l(f) + 4*v(f). Solve k(a) = 0 for a.
-2, 0
Let p be 5 + 1 + (-8 - -4). Suppose 1 + p*y**2 + 0 + y + 4*y + 2*y**2 = 0. What is y?
-1, -1/4
Suppose -9*r = -3*n - 5*r + 20, 5*r = -5*n - 25. Factor -1/2*s**4 + 1/4*s - 1/4*s**5 + 0 + 1/2*s**2 + n*s