6/90 + 17*t**5/30 + 10*t**4/3 - 161*t**3 + 2205*t**2/2 - 574*t - 8. Factor k(i).
(i - 5)*(i - 3)*(i + 21)**2/3
Let f be (8/(-10))/((-3)/315). Let p = f - 79. Determine w so that -25*w - p*w**3 - 14 + 0*w + 20*w**2 - 6 + 30 = 0.
1, 2
Let z(f) be the third derivative of f**5/75 - 13*f**4/30 + 24*f**3/5 - 115*f**2. Determine g so that z(g) = 0.
4, 9
Let q(f) be the second derivative of -f**7/630 - f**6/360 - 55*f**2/2 - 19*f + 1. Let b(z) be the first derivative of q(z). Let b(r) = 0. What is r?
-1, 0
Let m(o) be the first derivative of -1 - 3/4*o**2 + 0*o - 1/12*o**3. Let m(q) = 0. What is q?
-6, 0
Suppose -21*t - 4563 = 4173. Let p = 416 + t. What is o in -4/5*o**2 + p*o**3 + 2/5*o**4 + 0*o + 2/5 = 0?
-1, 1
Let i(k) be the first derivative of -10/69*k**3 - 6/23*k + 7/23*k**2 + 1/46*k**4 + 67. Factor i(f).
2*(f - 3)*(f - 1)**2/23
Let l(f) be the first derivative of f**8/168 + 3*f**7/35 - 7*f**6/20 + 11*f**5/30 - 19*f**2 - 123. Let y(t) be the second derivative of l(t). Factor y(c).
2*c**2*(c - 1)**2*(c + 11)
Let r = -779/182 - 20/91. Let f = 63/10 + r. Factor 0 + 3/5*b**2 + f*b.
3*b*(b + 3)/5
Let p(f) be the second derivative of f**7/5880 + 13*f**6/1680 - 13*f**4/6 - f**2 + 2*f + 57. Let r(j) be the third derivative of p(j). Factor r(h).
3*h*(h + 13)/7
Let a(y) be the first derivative of 2*y**5/5 + y**4 - 16*y**3 + 265. Factor a(h).
2*h**2*(h - 4)*(h + 6)
Let o(a) = 5*a**3 - a**2 + 6*a + 1. Let w(f) = 11*f**3 - 3927*f**2 - 960378*f + 964327. Let r(m) = 3*o(m) - w(m). Solve r(i) = 0.
-491, 1
Let n(w) be the second derivative of 3*w**5/100 + 9*w**4/10 - 121*w**3/10 - 207*w**2/5 + 4304*w. Factor n(y).
3*(y - 6)*(y + 1)*(y + 23)/5
Let s(v) be the third derivative of -v**6/200 - 127*v**5/300 - v**4/3 + 14*v**3/5 - 57*v**2 - 1. Suppose s(c) = 0. Calculate c.
-42, -1, 2/3
Let b(r) be the second derivative of -r**4/18 + 68*r**3 - 31212*r**2 + 4*r + 189. Factor b(d).
-2*(d - 306)**2/3
Let w = -520/373 + 2453/1492. Solve 1/4*r**2 + w*r - 1/4 - 1/4*r**3 = 0 for r.
-1, 1
Let q(b) = 23*b + 118. Let y be q(-5). Suppose 2*d**2 - y*d**2 + 1226*d + 18 - 1219*d = 0. What is d?
-2, 9
Let x = 754 + -751. Let 15*g**2 + 12*g**x + 53*g**4 - 6*g**4 - 50*g**4 = 0. Calculate g.
-1, 0, 5
Let h(f) = f**2 - 7*f - 55. Let z be h(-5). Let z - 20*p - 37*p + 2*p + 140*p**2 = 0. What is p?
1/7, 1/4
Let k(t) be the first derivative of 3*t**8/560 - t**7/350 - t**6/150 - 98*t**3/3 + 44. Let y(l) be the third derivative of k(l). What is w in y(w) = 0?
-2/5, 0, 2/3
Let -207*n**2 + 77*n**2 - 268*n**2 + 132*n + 6*n**3 = 0. What is n?
0, 1/3, 66
Let l = -93 - -116. Factor l*x - 72*x**2 + 42*x + 67*x**2.
-5*x*(x - 13)
Let m(k) be the first derivative of k**4/12 + 14*k**3/9 - 49*k**2/6 + 34*k/3 - 2945. Let m(g) = 0. What is g?
-17, 1, 2
Let r(l) be the third derivative of -49*l**6/720 + 203*l**5/120 + 5*l**4/2 + 13*l**3/9 - 1246*l**2. Solve r(n) = 0 for n.
-2/7, 13
Let u(w) be the second derivative of 1/540*w**6 + 0 + 0*w**2 - 2*w**3 + 6*w + 1/60*w**5 + 1/18*w**4. Let m(l) be the second derivative of u(l). Factor m(n).
2*(n + 1)*(n + 2)/3
Let b be 22/(-110) - (4 - 1 - 11/55) - -5. What is r in 15/2 + 21/4*r**b + 111/4*r = 0?
-5, -2/7
Suppose -3*q - 19 = -2*n - 13, n = q + 3. Let i(d) be the first derivative of q*d**4 + 3*d - 2*d**3 + 3/5*d**5 + 0*d**2 + 10. Suppose i(p) = 0. What is p?
-1, 1
Let l be (-7)/(70/160*8)*-1. Let g(i) be the first derivative of -25/6*i**l - 10*i + 5/9*i**3 - 29. Suppose g(m) = 0. What is m?
-1, 6
What is y in -112/9 + 122/9*y**2 + 62*y**3 - 10/9*y**4 - 62*y = 0?
-1, -1/5, 1, 56
Suppose 5*o - 31 - 94 = -5*x, -5*o + 123 = 3*x. Find p such that 7*p**5 - 41*p**4 + 25*p - o*p**3 + 31*p**4 + 10*p**2 - 8*p**5 = 0.
-5, -1, 0, 1
Solve 2/7*x**2 + 116/7*x - 496/7 = 0.
-62, 4
Let z = -1620 + 1606. Let g be 4*45/105 + 4/z. Let 2*p**2 - 2/7*p**3 + g - 22/7*p = 0. Calculate p.
1, 5
Let y(n) be the second derivative of 14 + 4*n + 59/6*n**4 + n**5 + 1/30*n**6 + 81/2*n**2 + 30*n**3. Find c such that y(c) = 0.
-9, -1
Suppose -22*g - 12 = -34*g. Let q be g - 94/210 - 74/259. Solve q*o**2 - 2/5*o**4 - 4/15*o**3 - 2/15*o**5 + 2/15 + 2/5*o = 0 for o.
-1, 1
Suppose 3*c - 15 = -2*s + 21, s + 5*c = 11. Factor i**5 + 7 - 152*i**3 + 128*i**2 + 0*i**5 + 1 - 52*i + 88*i**4 - s*i**5.
-4*(i - 1)**4*(5*i - 2)
Suppose -14*d = -16*d + 4. Factor -p**2 + 3*p**3 - 9 - 35*p - 12*p**d + 58 - 4*p**3.
-(p - 1)*(p + 7)**2
Suppose 4*d + 5211 = -t, 2*d - 3*d = 4*t + 1314. Let w = 1305 + d. Solve -100/7 + 220/7*g - 1/7*g**4 + 22/7*g**w - 141/7*g**2 = 0 for g.
1, 10
Suppose -10*u + 10 = -8*u. Suppose -24*n**2 + 7*n - 22*n**4 - 3*n**u - 7*n - 26*n**2 - 70*n**3 + n**5 = 0. What is n?
-5, -1, 0
Factor 42875/2*a**4 - 3356*a - 339325*a**3 - 64 - 58590*a**2.
(a - 16)*(35*a + 2)**3/2
Let m(q) = 4*q + 2. Let l be (-4)/(0 - -1) - (-88)/22. Let v be m(l). Determine a, given that 8*a - 7*a**3 - 4 - a**3 + 19*a**4 + 9*a**v - 24*a**4 = 0.
-2, -1, 2/5, 1
Suppose 2*m + 3*l - 19 = -3*m, -7 = 4*m - 5*l. Let i be (m + 174/(-117))*(-30)/(-20). Suppose 2/13*t**2 + i*t + 4/13 - 4/13*t**3 = 0. What is t?
-1, -1/2, 2
Factor 13925 - 231*v**2 - 7061 - 7836 + 960*v - 3*v**3.
-3*(v - 2)**2*(v + 81)
Let l be 16*((-7 - -8) + (-13)/(-4)). Let 0 + 0 + 84*a**2 - l*a + 1 + 7 = 0. Calculate a.
1/7, 2/3
Suppose -3*n + 5*z = 6*z - 5, 3*n - 20 = 14*z. Factor 4/3*r**5 + 2584*r**3 - 284/3*r**4 - 334084 + 569908/3*r - 99416/3*r**n.
4*(r - 17)**4*(r - 3)/3
Let z be 109/(10 + 432/(-40)). Let t = z - -2729/20. Find l, given that 3/5*l**2 + 0 - t*l**4 - 2/5*l + 0*l**3 = 0.
-2, 0, 1
Let p(d) be the first derivative of d**3/6 + 273*d**2 + 149058*d + 648. Factor p(v).
(v + 546)**2/2
Let n(p) be the third derivative of p**6/24 - 47*p**5/60 - p**3/2 + 8*p**2 + p. Let t(z) = 15*z**3 - 142*z**2 - 8. Let l(i) = -8*n(i) + 3*t(i). Solve l(h) = 0.
0, 10
Suppose -912*b + 1699 + 908 = -43*b. Factor -3/4*u**4 + 0*u**2 + 0 + 3/8*u**b + 3/8*u**5 + 0*u.
3*u**3*(u - 1)**2/8
Let j(i) = -i**5 - i. Let q be 8/(-12)*((-9)/(-6) + -3). Let t(s) = -2*s**5 - 44*s**3 + 48*s**2 + 86*s. Let d(y) = q*t(y) - 4*j(y). Factor d(r).
2*r*(r - 3)**2*(r + 1)*(r + 5)
Find r, given that -206/15*r + 2/15*r**2 - 856/15 = 0.
-4, 107
Let -1/4*r**2 - 17/4*r + 135/2 = 0. What is r?
-27, 10
Let t be (275/85 + -3)*9/6. Let g(v) = v**2 + 6*v - 91. Let i be g(7). Let i + 2/17*l**2 - t*l = 0. Calculate l.
0, 3
Let z(p) be the first derivative of 0*p + 50 + 3/8*p**4 + 12*p**2 - 5*p**3. Solve z(q) = 0 for q.
0, 2, 8
Let h(q) = q**3 + 17*q**2 + 15*q - 33. Let d(x) = -2*x**3 - 18*x**2 - 14*x + 34. Let j(f) = -3*d(f) - 2*h(f). Factor j(o).
4*(o - 1)*(o + 3)**2
Let b(o) be the second derivative of -o**4/78 + 20*o**3/3 + 789*o**2/13 + 71*o. Determine s so that b(s) = 0.
-3, 263
Let i be (4 + 8)*(-741)/38. Let s be (-212)/i - ((-26)/(-18) - 1). Find p, given that -s*p**2 - 20/13 + 62/13*p = 0.
1/3, 10
Let y be (0 - (-300)/(-70)) + (7 - 1). Find b, given that y*b**2 - 33/7*b + 18/7 + 3/7*b**3 = 0.
-6, 1
Let i(n) be the second derivative of n**7/42 + n**6/30 - 3*n**5/10 + n**4/6 + 5*n**3/6 - 3*n**2/2 - 33*n - 2. Factor i(p).
(p - 1)**3*(p + 1)*(p + 3)
Suppose 69*p + 31*p - 877 = 823. What is s in 1/2*s**3 + 126*s - p*s**2 + 324 = 0?
-2, 18
Suppose 5*y = 4*s - 10, 2*s + 46*y = 41*y + 20. Let v = 4 + 1. Suppose 4*l**3 + 2*l**4 - 6*l**s + v*l**5 + 0*l**2 - 8*l**2 = 0. Calculate l.
-2, 0, 2
Suppose -3*y + 23 = p, 13 = -1271*p + 1274*p + y. Factor -3/5*b**p - 6 - 33/5*b.
-3*(b + 1)*(b + 10)/5
Suppose 3*b = -27*p + 25*p + 4370, -4*p = 2*b - 2916. Let c be (-260)/b - (-6)/8. Let 4/7*j**3 - 8/7*j + 0 + c*j**2 = 0. What is j?
-2, 0, 1
Let p(b) = -20*b - 33 - 19*b**2 + 35 + 0*b**3 + b**3. Let f be p(20). Factor 24*k**4 + 4*k - 9*k**f - 23*k**3 + 5*k**2 + 36*k**5 - 12*k**4.
k*(2*k - 1)**2*(3*k + 2)**2
Let o(n) be the second derivative of n**5/690 + n**4/138 + n**3/69 - 31*n**2/2 - 38*n. Let k(d) be the first derivative of o(d). Let k(l) = 0. What is l?
-1
Let v(p) = -33*p. Let d be v(2). Let j be (-25)/15*d/55. Let 2/3*o - 1/3*o**4 + 1/3 - 2/3*o**3 + 0*o**j = 0. Calculate o.
-1, 1
Let r = 1969/38 + -975/19. What is z in -1 - 3/2*z + 0*z**2 + r*z**3 = 0?
-1, 2
Suppose -18*a + 198 + 396 = 0. Suppose 6*i - 33*i - a*i + 100 + 5*i**2 = 0. What is i?
2, 10
Let p(s) = s**2 + 22*s + 34. Let t be p(-21). Suppose 32*l**4 - 16