ve of 0*d - 3/2*d**o - 6 + 1/2*d**3. What is c in j(c) = 0?
0, 2
Let p(s) be the first derivative of -s**7/630 + 13*s**6/270 - 2*s**5/15 + s**3 - 56. Let y(h) be the third derivative of p(h). Find o such that y(o) = 0.
0, 1, 12
Let u = 452/27 + -224/27. Let b = -137/18 + u. Factor -5/6 - 5/6*s**4 - 5/6*s**5 + 5/3*s**3 + 5/3*s**2 - b*s.
-5*(s - 1)**2*(s + 1)**3/6
Suppose 0 = 4*s + 2*g - 44, 4*s - 6*s + 22 = 2*g. Suppose 17 = 14*k - s. Factor -26*o**k + 45*o**2 - 17*o**2 - 2.
2*(o - 1)*(o + 1)
Let f(k) be the second derivative of -k**2 + 1/36*k**4 + 0 + 132*k + 1/18*k**3. Let f(t) = 0. What is t?
-3, 2
Let q = -64 - -68. Find t such that 4 + q - 25*t - 4*t**2 + 13*t + 8*t = 0.
-2, 1
Factor 3/8*s**3 + 0 - 99/8*s**2 + 105/2*s.
3*s*(s - 28)*(s - 5)/8
Let b(z) be the second derivative of 39/2*z**2 + 0 + 9/10*z**6 + 37/2*z**4 - 114*z - 1/14*z**7 + 69/10*z**5 + 51/2*z**3. Determine h so that b(h) = 0.
-1, 13
Suppose 444*y + 342*y + y - 3148 = 0. Factor 0 - 49/3*q**5 + 0*q - 91*q**y - 20/3*q**2 - 48*q**3.
-q**2*(q + 5)*(7*q + 2)**2/3
Let q = -10 - -150. Find f such that 200*f - 4*f**4 - q*f + 54*f**2 + 24 + 21*f**3 + 7*f**4 = 0.
-2, -1
Let w = -64 + 82. Let q = w + -15. Let p(a) = -5*a**2 - 8*a - 9. Let g(m) = 9*m**2 + 16*m + 17. Let j(z) = q*g(z) + 5*p(z). Solve j(h) = 0.
-3, -1
Let f(s) = 838*s + 21790. Let p be f(-26). Factor -p + 1/4*c**3 + 17/4*c - 5/2*c**2.
(c - 8)*(c - 1)**2/4
Let s(n) = n**3 + 20*n**2 - 53*n + 56. Let x be s(-23). Let r be (-1*4/21)/(x/364). Factor 0 + 2/9*i**5 + 0*i**4 + 0*i**2 - 4/9*i**3 + r*i.
2*i*(i - 1)**2*(i + 1)**2/9
Let r(f) be the first derivative of 0*f - 73 + 0*f**2 - 6/5*f**5 - 25/8*f**3 + 15/4*f**4. Find g such that r(g) = 0.
0, 5/4
Let f(b) be the third derivative of b**8/13440 + 3*b**7/2240 + 7*b**6/1440 + 25*b**3/3 + 14*b**2 + b. Let o(r) be the first derivative of f(r). Factor o(c).
c**2*(c + 2)*(c + 7)/8
Suppose 41*n - 35*n = 6210. Let a = 5179/5 - n. Factor -12/5*f**3 - a*f**5 + 36/5*f**2 + 0*f - 4*f**4 + 0.
-4*f**2*(f - 1)*(f + 3)**2/5
Let f(t) be the second derivative of t**6/20 + 3*t**5/40 - 11*t**4/4 - 10*t**3 - 785*t. Factor f(w).
3*w*(w - 5)*(w + 2)*(w + 4)/2
Let d be (-18 + 29 - 19)*(-5)/(-6)*-7. Determine u so that -80/3 - d*u + 100/3*u**2 + 55*u**3 - 15*u**4 = 0.
-2/3, 1, 4
Suppose -5*h - 5 = 3*u, 86 = -4*u - 2*h + 84. Let s(j) be the third derivative of 1/30*j**5 + 3*j**2 + 0*j**3 + 0*j**4 + u + 0*j. Let s(c) = 0. What is c?
0
Factor -2310*x**3 + 301137536 - 2319*x**3 + 3192*x**2 - 1698144*x + 4627*x**3.
-2*(x - 532)**3
Let p(b) = 6*b + 16. Let z be p(0). Let y(n) be the second derivative of z*n + 1/16*n**4 + 0 - 1/4*n**3 + 3/8*n**2. Factor y(j).
3*(j - 1)**2/4
Let l(o) be the second derivative of -o**4/84 - 32*o**3/21 + 40*o + 2. Let l(b) = 0. Calculate b.
-64, 0
Let g(q) = q**3 - 32*q**2 + 7. Let i be g(32). Let h = 4 + -2. Suppose 8*n**3 - 8*n**4 - 3*n**2 + i*n**2 + 4*n**4 - 8*n**h = 0. Calculate n.
0, 1
Let c(b) be the first derivative of -b**7/2310 + b**6/660 - b**5/660 - 39*b**2/2 + 2. Let y(m) be the second derivative of c(m). Suppose y(u) = 0. Calculate u.
0, 1
Let r(k) be the second derivative of -3*k**5/80 + k**4 + 217*k**3/8 + 75*k**2 - 3793*k. Factor r(n).
-3*(n - 25)*(n + 1)*(n + 8)/4
Let c(v) be the third derivative of -v**6/200 + v**5/25 + 3*v**4/40 - 9*v**3/5 + 1845*v**2 - 2. Factor c(k).
-3*(k - 3)**2*(k + 2)/5
Let o = 401933/4 - 2009233/20. Let -36/5*i + o + 3/5*i**2 = 0. What is i?
6
Factor 667*p + 293*p - 2127 + 735 + 5*p**2 - 548 + 0*p**2.
5*(p - 2)*(p + 194)
Factor -568*g**2 - 180*g + 376 + 19*g**3 - 542*g**3 + 511*g**3.
-4*(g + 1)*(g + 47)*(3*g - 2)
Let t be (7 + -8)*(-2 + (-6)/(-3)). Suppose 0 + 21 = 5*m + 4*i, -3*i - 3 = t. Factor 4*x - 16*x**5 - 5*x**4 + 21*x**m - 10*x**3 - 4*x.
5*x**3*(x - 2)*(x + 1)
Let u(c) = 30*c + 270. Let s be u(-9). Suppose 9*r - 1113 + 1095 = s. Factor -4/7*l + 0 - 4/7*l**r.
-4*l*(l + 1)/7
Let d(i) = -2*i**3 + 11*i**2 + 33*i - 8. Let v be d(8). Let k = v + 64. Find y, given that k*y**3 - 1/6*y + 1/6*y**5 - 1/3*y**2 + 1/3*y**4 + 0 = 0.
-1, 0, 1
Let j(o) = -8*o**3 + 37*o**2 - 6. Let r = 59 + -33. Let c(n) = 2*n**3 - 9*n**2 + 2. Let p(q) = r*c(q) + 6*j(q). Factor p(l).
4*(l - 2)**2*(l + 1)
Let g(n) be the third derivative of 13 + 0*n + 8/3*n**3 - 7/12*n**4 - 8*n**2 - 1/30*n**5. Solve g(k) = 0 for k.
-8, 1
Suppose 0 - 38/7*c**2 - 30/7*c**3 + 2/7*c**5 + 6/7*c**4 + 60/7*c = 0. Calculate c.
-5, -2, 0, 1, 3
Let w be (5/4)/(67/(2680/25)). Factor -265302/7 - 2/7*f**3 - 306/7*f**w - 15606/7*f.
-2*(f + 51)**3/7
Let r(z) = z**3 - 10*z**2 - 9*z - 11. Let t be 1/(3*2/66). Let s be r(t). Let 30*f**3 + 14*f**4 + 16*f**2 - 32 + 2*f**3 - s*f + 2*f**5 - 21*f = 0. What is f?
-2, 1
Let q(z) be the third derivative of -40/3*z**3 + 1/24*z**6 - 5/24*z**4 + 4/3*z**5 + 0*z + 49*z**2 + 0. Solve q(h) = 0.
-16, -1, 1
Factor -12*c**3 - 32*c**3 - 21420*c**2 - 288 - c**3 - 2*c**4 - 480*c - c**4 + 21186*c**2.
-3*(c + 1)*(c + 4)**2*(c + 6)
Let o(m) be the first derivative of m**4/2 + 160*m**3/3 + 453*m**2 + 1332*m + 346. Factor o(u).
2*(u + 3)**2*(u + 74)
Let m(z) = -z**2 - 16*z + 26. Let l be m(-17). Let f be 8/l + -1 + 456/216. Factor 0 + 3/5*r**f - 3/5*r.
3*r*(r - 1)/5
Let h(r) be the first derivative of 21*r**3 - 439*r**2/2 - 128*r - 36. Let g(z) = -31*z**2 + 219*z + 64. Let d(x) = -7*g(x) - 3*h(x). Let d(q) = 0. Calculate q.
-2/7, 8
Suppose 0 = s - 2*t + 4, -t = -5*s + 4*t. Suppose 0 = -5*v + 4 - 14, s = -w - 3*v. Let 4374/11 - 6/11*o**3 + 162/11*o**w - 1458/11*o = 0. What is o?
9
Find d such that 311/3 - 1/3*d**2 + 310/3*d = 0.
-1, 311
Let s be (4 + 63/(-18))*8. Let v(q) be the second derivative of 16*q + 0*q**3 + 0*q**2 + 0 - 1/54*q**s. Factor v(y).
-2*y**2/9
Factor 1183*m**2 - 622*m - 6*m**5 + 67 - 652*m**3 - 235*m**2 + 32 + 178*m**4 + 31 + 24.
-2*(m - 1)**4*(3*m - 77)
Let w(t) = 2*t**4 - 47*t**3 - 42*t**2 + 112*t - 85. Let k(f) = 3*f**4 - 47*f**3 - 55*f**2 + 113*f - 86. Let j(i) = -5*k(i) + 6*w(i). Factor j(x).
-(x - 1)**2*(x + 16)*(3*x + 5)
Let y(w) be the second derivative of -1/2*w**4 + w + 0*w**3 + 10 + 9/20*w**5 + 0*w**2 - 1/10*w**6. Suppose y(r) = 0. What is r?
0, 1, 2
Suppose 2*k - 3*n = 28, -60 = -8*k + 2*k + 3*n. Let g(d) be the first derivative of -108*d**2 + k + 12*d**3 - 1/2*d**4 + 432*d. Suppose g(u) = 0. Calculate u.
6
Let v = 2/1795 - -628/80775. Let o = v + 98/225. Factor -2/3*w**3 + 10/9*w**2 + 0 + 2/9*w**5 - 2/9*w**4 - o*w.
2*w*(w - 1)**3*(w + 2)/9
Factor 1740 - 4*g**4 - 2505 + 964*g**2 + 1485 + 1564*g + 116*g**3.
-4*(g - 36)*(g + 1)**2*(g + 5)
Let l(h) be the third derivative of -h**7/350 + 3*h**6/100 + 3*h**5/100 - 2*h**4/5 - 6*h**3/5 - 64*h**2 + 1. Let l(c) = 0. What is c?
-1, 2, 6
Let v be (-86)/((-4 - 1) + 3). Let c = -39 + v. Suppose -2*b**2 + 4*b - 12 + 2*b**2 - 4*b**3 + 8*b**2 + c*b**2 = 0. Calculate b.
-1, 1, 3
Let r(d) = -2*d**3 + 90*d**2 + 378*d + 302. Let z = -24 - -19. Let v(f) = f**3 - 60*f**2 - 252*f - 201. Let n(j) = z*r(j) - 8*v(j). Factor n(w).
2*(w + 1)*(w + 7)**2
Suppose -11*q + 6 = -9*q. Suppose -p = -q*p + 4. Find b such that -4*b**2 - 6*b**2 + 12*b**p - 2*b**3 = 0.
0, 1
Let u = 329250 + -658493/2. Find v such that u*v + 1/2*v**2 + 6 = 0.
-4, -3
Solve 20/3*s**3 + 6*s**2 - 104/3*s + 64/3 + 2/3*s**4 = 0.
-8, -4, 1
Let s be 746/115 - (-992)/(-11408). Determine b, given that 0 + 1/5*b**4 - 6/5*b**3 + s*b + 0*b**2 = 0.
-2, 0, 4
Let i(f) = -13*f**2 + 34*f + 131. Let o(k) = 2*k - 1. Let w(u) = -2*u**2 - u. Let b(y) = -o(y) - w(y). Let a(l) = -4*b(l) - i(l). Let a(j) = 0. Calculate j.
-3, 9
Let j = 0 - -7. Factor -4*d**2 - d**2 + j*d**2 + 10*d + 8*d.
2*d*(d + 9)
Determine k, given that 0*k**3 - 3349*k - 3*k**3 + 571 + 1104 + 4*k**3 + 0*k**3 + 1673*k**2 = 0.
-1675, 1
Let v be 72/720 + ((-518)/(-20) - -2). Let a be (-1422)/(-237) + v/(-5). Factor 1/5*o**4 - a*o**2 + 1/5*o**5 + 1/5*o + 1/5 - 2/5*o**3.
(o - 1)**2*(o + 1)**3/5
Let v(p) be the third derivative of p**7/70 - 9*p**6/20 + 87*p**5/20 - 19*p**4/4 - 72*p**3 + 331*p**2. Solve v(x) = 0.
-1, 2, 8, 9
Factor -549/7*m**2 - 2916/7 + 6*m**3 + 324*m - 1/7*m**4.
-(m - 18)**2*(m - 3)**2/7
Find c, given that 0 + 8/5*c**3 - 10*c**2 - 56/5*c + 2/5*c**4 = 0.
-7, -1, 0, 4
Let l(q) be the third derivative of q**8/168 - 2*q**7/21 + 23*q**6/60 - 7*q**5/15 + 206*q**2. What is z in l(z) = 0?
0, 1, 2, 7
Le