3/27 - 35*p**2/2 + 4633*p. Factor q(r).
(r - 35)*(r + 9)/9
Let m = 3692 - 3689. Let r(z) be the first derivative of 0*z**m - 5 + 1/5*z**4 + 0*z - 2/5*z**2. Find i such that r(i) = 0.
-1, 0, 1
Let i(u) be the first derivative of -u**5 - 295*u**4/2 - 22685*u**3/3 - 155760*u**2 - 1393920*u - 1519. Factor i(v).
-5*(v + 11)**2*(v + 48)**2
Let t(g) = g**2 + 13*g - 45. Let f be t(-24). Solve -20*w + 224*w**5 + 15*w**3 + f*w**5 - 448*w**5 + 20*w**2 - 10*w**4 = 0 for w.
-2, 0, 1
Let j = -103 + 106. Determine m so that -m**2 - 5*m**2 + 3*m**4 + 18900*m**3 - 24 - 18909*m**j + 36*m = 0.
-2, 1, 2
Let t(g) be the third derivative of -g**5/60 + 59*g**4/24 + 31*g**3 - 3*g**2 + 308*g. Let t(m) = 0. Calculate m.
-3, 62
Let v(n) = -8*n + 271. Let d be v(32). Factor -d*i + 46*i**2 + 109*i**3 - 30 - 22*i**2 - 136*i**3 + 90*i**2 + 126*i.
-3*(i - 5)*(i + 1)*(9*i - 2)
Suppose 4*f = 9685*a - 9682*a + 1, 4*a = -4*f + 36. Suppose 86/15*s**3 - 46/5*s**4 + 6/5*s**a - 14/15*s**2 + 0 + 0*s = 0. Calculate s.
0, 1/3, 7
Let u(v) be the second derivative of 25/6*v**3 + 43/4*v**5 + 95/4*v**4 - 35*v**2 + 5/6*v**6 - 17 - v. Factor u(d).
5*(d + 1)**2*(d + 7)*(5*d - 2)
Let w = 494 + -492. Find j such that -4*j**2 + 65516*j - 136 - 65376*j + 0*j**w = 0.
1, 34
Factor -14*t**3 - 38*t**3 - 320 + 184*t - 39*t**3 - 34*t**2 - 42*t**3 + 135*t**3.
2*(t - 8)*(t - 5)*(t - 4)
Let t = -29433 - -29436. Let d(p) be the third derivative of 0 - 7/24*p**4 + 16*p**2 + 0*p - 49/60*p**5 - 1/24*p**t. Factor d(h).
-(14*h + 1)**2/4
Let n = 120207 + -120204. Factor -2/19 + 2/19*z**5 + 4/19*z**n + 6/19*z**4 - 6/19*z - 4/19*z**2.
2*(z - 1)*(z + 1)**4/19
Determine k so that -882/5*k**2 + 189*k - 47/5*k**4 + 1/5*k**5 + 334/5*k**3 - 351/5 = 0.
1, 3, 39
Let n = 668 - 418. Let q = n - 248. Solve 1/4*x**q - 1/2 - 1/4*x = 0.
-1, 2
Let l(o) be the third derivative of -o**7/840 + o**6/40 - o**5/5 - 31*o**4/4 + o**2 + 115. Let b(c) be the second derivative of l(c). Factor b(r).
-3*(r - 4)*(r - 2)
Let g = 113 - 110. Suppose -8*d + 296*d**3 - 590*d**g + 302*d**3 - 12 + 16*d**2 - 4*d**4 = 0. Calculate d.
-1, 1, 3
Let l(s) = 113*s**2 + 51*s + 156. Let z(h) = 19*h**2 - 1. Let j(r) = l(r) - 6*z(r). Let j(o) = 0. Calculate o.
-3, 54
Factor -45*b**2 - 435*b - 6*b**3 - 375 - 296*b + 506*b + 3*b**3.
-3*(b + 5)**3
Factor -15589749 + 34780*r + 5*r**2 + 28909040 + 20368882 + 26794247.
5*(r + 3478)**2
Let r = -59244/5 + 11850. Suppose 10 = 7*u - 18. Suppose r*t**5 + 4/5 + 26/5*t + 64/5*t**3 + 12*t**2 + 32/5*t**u = 0. Calculate t.
-2, -1, -1/3
Suppose 44*d - 195 = 5*d. Suppose 0 = -d*b + 26 - 16. Factor 1/3*o**b + 0 - 1/3*o.
o*(o - 1)/3
Let x = 3976 - 3976. Let z(v) be the third derivative of -1/3*v**4 + 12*v**2 + 1/30*v**5 + v**3 + 0*v + x. Find u, given that z(u) = 0.
1, 3
Let s = 1296 + -1306. Let u be 90/s - (7 - 16). What is m in 0*m - 2/7*m**2 + 2/7*m**3 + u = 0?
0, 1
Let i(k) be the second derivative of 0 - 121/5*k**2 + 193*k - 1/30*k**4 + 22/15*k**3. Determine w so that i(w) = 0.
11
Let b(n) be the third derivative of -n**8/1512 - 34*n**7/945 - 289*n**6/540 - 11*n**2 + 3*n. Factor b(o).
-2*o**3*(o + 17)**2/9
Let k(q) be the first derivative of -q**7/105 - q**6/30 + 11*q**5/30 + q**4 + 50*q**2 - 77. Let l(n) be the second derivative of k(n). Factor l(u).
-2*u*(u - 3)*(u + 1)*(u + 4)
Let i(l) = 7*l**2 + 103*l - 5. Let q(y) = 4*y**2 + 48*y - 3. Let p(b) = -3*i(b) + 5*q(b). Let p(m) = 0. Calculate m.
-69, 0
Let h be (1 + -3)*71/((-4686)/99). Factor 4/5*f**h + 0*f**2 + 0*f + 0 + 2/5*f**5 + 6/5*f**4.
2*f**3*(f + 1)*(f + 2)/5
Let t(j) be the second derivative of -j**6/90 + 7*j**5/10 + 151*j**4/12 + 161*j**3/9 - 136*j**2 + j - 5136. Suppose t(o) = 0. Calculate o.
-8, -2, 1, 51
Let a(j) be the second derivative of j**5/24 - 11*j**4/12 - 263*j**3/36 + 27*j**2 + 79*j + 7. Factor a(y).
(y - 1)*(y + 4)*(5*y - 81)/6
Let h(f) be the second derivative of f**7/336 - f**6/40 - 3*f**5/160 + f**4/6 + f**3/4 + f - 745. Factor h(z).
z*(z - 6)*(z - 2)*(z + 1)**2/8
Let h(r) be the first derivative of -r**4/4 - 20*r**3 + 781*r**2/2 - 9242. Let h(s) = 0. What is s?
-71, 0, 11
Let w(n) be the second derivative of 3*n**5/16 + 13*n**4/12 - 107*n**3/24 + 5*n**2 - 2239*n. Find y, given that w(y) = 0.
-5, 8/15, 1
Suppose -100 = -4*d - 64. Suppose d*s = 20 + 7. Suppose -5 + 5*f + s*f**2 + 17 - 17*f = 0. What is f?
2
Let q be (-15)/(-4)*((-369)/(-27) - 13). Suppose -2*d - 4 = 5*b, -5*d + 4*b - 15 = -38. Determine s, given that -5/2*s**d - 5/3 + 5/6*s**4 + 5/6*s**2 + q*s = 0.
-1, 1, 2
Suppose -1584 = 7*i - 1689. Suppose 4*m - 4*h = 0, 20*h - i*h = -8*m + 26. Factor 16/21*g - 10/21*g**m + 2/21*g**3 - 8/21.
2*(g - 2)**2*(g - 1)/21
Let n be 4*((-4)/(-6))/(37/((-555)/(-170))). Solve -6/17*b + 2/17*b**3 + n*b**2 + 0 = 0 for b.
-3, 0, 1
Let u(c) be the first derivative of -c**5/10 + c**4/18 + 2*c**3/9 + 28*c - 4. Let o(x) be the first derivative of u(x). Factor o(d).
-2*d*(d - 1)*(3*d + 2)/3
Let l = -2/4830749 - -67630524/91784231. Solve -400/19*g + 0 - 284/19*g**3 + 1480/19*g**2 + l*g**4 = 0.
0, 2/7, 10
Let s(w) be the second derivative of -5 + 86/15*w**3 - 1849/5*w**2 + 9*w - 1/30*w**4. Find l, given that s(l) = 0.
43
Let j(g) = g**3 + g**2 + g + 3. Let d(a) = 8*a**3 + 4010*a**2 + 1782230*a + 264363390. Let c(r) = -d(r) + 5*j(r). Find q, given that c(q) = 0.
-445
Let k(o) = -4503*o**2 + 4459*o + 24. Let n(h) = 1499*h**2 - 1486*h - 7. Let d(f) = 3*k(f) + 10*n(f). What is v in d(v) = 0?
2/1481, 1
Let i be 224/168 + ((-3)/15 - -2*(-3)/(-30)). Factor -i - 7/3*h + 11/3*h**2.
(h - 1)*(11*h + 4)/3
Suppose 36/5*m - 486/5 - 2/15*m**2 = 0. Calculate m.
27
Let t(h) be the first derivative of 3*h**4/8 - 15*h**3/2 - 51*h**2/2 + 1656. Factor t(l).
3*l*(l - 17)*(l + 2)/2
Let d = 99/2095 + 64/419. Factor -8/5*b - d*b**4 + 3*b**2 - 6/5*b**3 + 0.
-b*(b - 1)**2*(b + 8)/5
Let q(p) be the second derivative of -1/15*p**4 + 2 - 6/5*p**3 - 28/5*p**2 + 18*p. Let q(h) = 0. Calculate h.
-7, -2
Let c be -22 + (-77)/(-7) - 6931/(-630). Let n(i) be the third derivative of -23*i**2 + 1/60*i**5 + 0*i**3 + 0*i**6 + 0 - c*i**7 + 1/36*i**4 + 0*i. Factor n(f).
-f*(f - 2)*(f + 1)**2/3
Let q(d) be the second derivative of -33*d + 0*d**2 - 3/20*d**5 + 0*d**3 - 1/60*d**6 + 0*d**4 + 0. Factor q(a).
-a**3*(a + 6)/2
Let m(s) = -s**4 - s**3 - s**2 + s - 10. Let h(n) = -3*n**4 - 38*n**3 - 28*n**2 + 198*n - 105. Let k(i) = h(i) + 2*m(i). Find v, given that k(v) = 0.
-5, 1
Let v = -454009/5 + 90802. Factor 1/10*x + 0 - v*x**2 + 1/10*x**3.
x*(x - 1)**2/10
Let n be 2*22/3*21/28. Let s(m) = 9*m**2 - 12*m + 10. Let k(g) = 12*g - 3*g + 15*g - 19 - 18*g**2. Let j(f) = n*s(f) + 6*k(f). Suppose j(d) = 0. Calculate d.
2/3
Let b(g) = -3*g**3 + 16*g**2 + 34*g - 34. Let x(l) = 3*l**3 - 15*l**2 - 33*l + 27. Let d(z) = 6*b(z) + 7*x(z). Factor d(a).
3*(a - 5)*(a + 1)**2
Let y(q) = 20*q**3 - 242*q**2 - 34*q + 7. Let w(i) = 7*i**3 - 85*i**2 - 11*i + 3. Let s(f) = -17*w(f) + 6*y(f). Solve s(a) = 0.
-1, 9
Let c(q) be the second derivative of -q**5/90 + 2*q**4/9 + 13*q**3/27 + 17*q + 32. Factor c(k).
-2*k*(k - 13)*(k + 1)/9
Let r(x) be the first derivative of 0*x**2 + 0*x - 5/6*x**6 + 45/4*x**4 - 55 - 15*x**3 + x**5. Suppose r(m) = 0. Calculate m.
-3, 0, 1, 3
Factor -31*n**2 - 53*n**2 - 692303*n + 14*n**2 + 691338*n - 1610 + 5*n**3.
5*(n - 23)*(n + 2)*(n + 7)
Let q(m) be the first derivative of -m**6/9 + 6*m**5/5 - 31*m**4/6 + 34*m**3/3 - 40*m**2/3 + 8*m - 5765. Find r, given that q(r) = 0.
1, 2, 3
Let k(a) be the second derivative of a**6/15 + 21*a**5/5 + 147*a**4/2 - 43*a - 9. Factor k(o).
2*o**2*(o + 21)**2
Let f(y) be the second derivative of 16/9*y**3 + 2*y + 3 - 14/3*y**2 - 1/9*y**4. Factor f(a).
-4*(a - 7)*(a - 1)/3
Suppose 73 + 239 = 291*c - 135*c. Determine t, given that 338/11 - 52/11*t + 2/11*t**c = 0.
13
Let w be ((-4)/5)/(6/4335). Let z = w + 4058/7. Factor -12/7*c + z*c**2 + 4/7 - 4/7*c**3.
-4*(c - 1)**3/7
Let i(w) be the second derivative of 23*w**6/105 - 3*w**5/5 - 4*w**4/21 - 443*w. Suppose i(x) = 0. Calculate x.
-4/23, 0, 2
Factor 14*y + 98 - 1/2*y**4 - 14*y**3 - 195/2*y**2.
-(y - 1)*(y + 1)*(y + 14)**2/2
Let x(s) = -s**3 - 8*s**2 + 31*s - 32. Let r be x(-11). Let c be (-8)/1 + (-86)/r. Factor 2/5*o**2 + 1/5*o**4 - c*o**3 + 0*o + 0.
o**2*(o - 2)*(o - 1)/5
Let k(g) = 9*g**2 - 34*g + 25. Let j = 74 - 81. Let 