p + p**2 + 9/20*p**4 - 3/50*p**i + 0 + 1/300*p**6 - 9/5*p**3. Solve x(y) = 0.
3
Let w(d) be the first derivative of 4*d**3/3 + 424*d**2 + 44944*d + 187. Factor w(n).
4*(n + 106)**2
Let q(y) be the third derivative of 0*y - 1/12*y**3 - 1/240*y**5 + 0 - 1/32*y**4 - 4*y**2. Determine c, given that q(c) = 0.
-2, -1
Let h = -1889 + 1889. Factor h + 3/5*x - 4/5*x**2 + 1/5*x**3.
x*(x - 3)*(x - 1)/5
Let w(x) be the first derivative of x**7/525 + x**6/75 + x**5/30 + x**4/30 + 16*x**2 + 6. Let a(z) be the second derivative of w(z). Solve a(m) = 0 for m.
-2, -1, 0
Determine u, given that 1/6*u**2 - 68/3 + 11*u = 0.
-68, 2
Determine o so that -13*o**4 + 11*o**3 - 40*o**2 - 5*o**5 - 6*o + 22*o**2 + 31*o**2 = 0.
-3, -1, 0, 2/5, 1
Suppose 2*f = -2*l - 8, 2*f + 0*l - 12 = 3*l. Let a(y) = y**2 + 2*y - 5. Let b be a(-4). Find k, given that f + 8/7*k**2 - 4/7*k**b + 0*k = 0.
0, 2
Let k = -34 - -126. Let d be 1 - -1 - k/69. Solve 2*b**2 + 0*b**3 + 0 - d*b**4 - 4/3*b = 0 for b.
-2, 0, 1
Let z(r) be the second derivative of r**4/15 + 16*r**3/15 + 24*r**2/5 - 10*r + 3. Factor z(f).
4*(f + 2)*(f + 6)/5
Factor 0 - 4/19*m**4 + 4/19*m**2 - 2/19*m + 2/19*m**5 + 0*m**3.
2*m*(m - 1)**3*(m + 1)/19
Factor -6845/6 - 185/3*j - 5/6*j**2.
-5*(j + 37)**2/6
Suppose 3*y - 170 = -5*s + 1687, 0 = -5*s - 4*y + 1856. Let b = s + -2596/7. Solve -2/7*c + 0 - b*c**2 = 0.
-1/4, 0
Let v be 645/(-4) + -6*(-6)/72. Let t = v - -161. Factor t*h**3 + 0*h + 0*h**2 - 1/4*h**5 + 0*h**4 + 0.
-h**3*(h - 1)*(h + 1)/4
Let m be (-1)/(154/1260 + 2/(-9)). Suppose -m - 8 = -9*u. Let 2/3*g**u - 2 - 4/3*g = 0. What is g?
-1, 3
Let p be (-2 - -3)/(3 + -2). Suppose 9*q - 8*q = p. What is f in 1/2*f + q + 5/2*f**3 - 4*f**2 = 0?
-2/5, 1
Let v(u) be the third derivative of -5*u**6/12 + 37*u**5/6 - 28*u**4 + 60*u**3 + 49*u**2 + 2. Suppose v(z) = 0. Calculate z.
6/5, 5
Let t be 40/240 + ((-3226)/(-60))/(-1). Let q = t - -54. Factor -q*s - 6/5*s**2 + 2/5*s**3 + 6/5.
2*(s - 3)*(s - 1)*(s + 1)/5
Factor 74 - 24*s - 63 - 147 - 4*s**2 + 100*s.
-4*(s - 17)*(s - 2)
Suppose -3*g - 18 + 60 = 0. Suppose 3*u + 5 = g. Find t, given that 0*t**2 + 9/2*t - 3/2*t**u - 3 = 0.
-2, 1
Factor 0 + 0*v - 2/7*v**2 + 0*v**4 - 3/7*v**3 + 1/7*v**5.
v**2*(v - 2)*(v + 1)**2/7
Suppose 4*k + d = 1133, 5*d - 2*d + 846 = 3*k. Let t = k - 283. Factor -1/4*c**5 + 1/2*c**2 + 1/4*c - 1/2*c**4 + t*c**3 + 0.
-c*(c - 1)*(c + 1)**3/4
Let l(a) be the third derivative of a**7/3780 + a**6/540 + 5*a**4/24 - 2*a**2. Let b(g) be the second derivative of l(g). Let b(o) = 0. What is o?
-2, 0
Let i(w) be the third derivative of 0*w**3 + 1/240*w**6 + 0*w**4 + 0*w + 0 - 13*w**2 + 1/120*w**5. Find b, given that i(b) = 0.
-1, 0
Let v(f) be the first derivative of -f**4/4 - 4*f**3/3 + 5*f**2 - 10*f + 57. Let y be v(-6). Factor 5*p + 3/2*p**y - 4.
(p + 4)*(3*p - 2)/2
Let p be 4/12*(-30)/(-20)*(-6)/(-1). Factor 12/5 + 3/5*j**2 - p*j.
3*(j - 4)*(j - 1)/5
Suppose -19*h = -102 + 26. Let b(y) be the third derivative of -1/3*y**h + 0*y + 0 + 1/15*y**5 + 2/3*y**3 - y**2. Find n, given that b(n) = 0.
1
Let z = -117/29 - -568327/140853. Let t = 77726/33999 - z. Find o such that -8/7*o**5 + 0 + 8/7*o + t*o**2 + 38/7*o**4 - 54/7*o**3 = 0.
-1/4, 0, 1, 2
Let r be (-429)/(-195) - 2/1. Determine q so that r + 0*q - 1/5*q**2 = 0.
-1, 1
Let n(s) = -s**2 - 15*s - 9. Let l be n(-12). Let u = 27 - l. Let -2*v**3 + v**2 + u + v**5 - 2 - 9*v**2 - 4*v + 2*v**4 - 3*v = 0. What is v?
-1, 2
Let c(l) be the first derivative of -2*l**5/25 + 3*l**4/10 + 64*l**3/15 + 12*l**2 + 64*l/5 + 62. What is w in c(w) = 0?
-2, -1, 8
Let d = 166 - 163. Let h(u) be the first derivative of -1/6*u**d + 2*u + 0*u**2 - 6. Determine g so that h(g) = 0.
-2, 2
Determine z, given that 2/15*z**4 + 238/15*z**3 + 23680/3*z - 25600/3 + 624*z**2 = 0.
-40, 1
Let g(c) be the second derivative of c**10/332640 + c**9/55440 - 23*c**4/12 - 30*c. Let n(x) be the third derivative of g(x). What is j in n(j) = 0?
-3, 0
Let u(l) be the third derivative of 1/150*l**5 - 8/15*l**3 + 0 - 1/30*l**4 + 0*l + 31*l**2. Solve u(v) = 0 for v.
-2, 4
Let a(z) be the second derivative of z**7/280 + z**6/80 - 3*z**5/80 - z**4/8 + z**3/2 - z**2 + 4*z. Let r(y) be the first derivative of a(y). Factor r(h).
3*(h - 1)**2*(h + 2)**2/4
Let i = 231471/2350 - -2/1175. Let h = -96 + i. Let -1 - 9/2*u - h*u**2 + 9/2*u**3 + 7/2*u**4 = 0. Calculate u.
-1, -2/7, 1
Let l = -42 - -47. What is w in -24*w + 22*w**3 + 13*w**3 - 55*w**2 + l*w + 10 - 16*w + 45*w**4 = 0?
-1, 2/9, 1
Let u = 33 - 29. Factor -13*d**4 + 10*d**3 - 9*d**2 + 10*d**u + 2*d + 0*d**3.
-d*(d - 2)*(d - 1)*(3*d - 1)
Let v(a) be the first derivative of a**6/30 - a**5/5 - 2*a**4/3 + 8*a**2 - 14. Let i(m) be the second derivative of v(m). Determine w so that i(w) = 0.
-1, 0, 4
Suppose 34 = 6*f - 8. Find k such that 3*k**3 + 4*k + f*k**3 - 14*k**3 = 0.
-1, 0, 1
Let h(r) be the second derivative of r**7/840 + r**6/120 - r**4/6 + 13*r**3/6 - 11*r. Let f(l) be the second derivative of h(l). What is t in f(t) = 0?
-2, 1
Let v(g) be the third derivative of 1/6*g**4 - 7/120*g**5 + 4/3*g**3 + 0*g + 1/240*g**6 + 0 + 12*g**2. Factor v(k).
(k - 4)**2*(k + 1)/2
Suppose 0 = -4*a + 7 + 53. Let s = -12 + a. What is q in -10*q**3 - 3*q**4 + 9*q**2 - 30*q**2 - 5*q**s - 9*q = 0?
-3, -1, 0
Factor -2690 + 348*s**2 - 6*s**4 + 1680*s + 3*s**5 - 2306 - 141*s**3 + 196.
3*(s - 4)**3*(s + 5)**2
Let s(b) = -151*b**4 + 295*b**3 - 128*b**2 - 16*b - 9. Let x(z) = 38*z**4 - 74*z**3 + 32*z**2 + 4*z + 2. Let r(a) = 2*s(a) + 9*x(a). Factor r(i).
4*i*(i - 1)**2*(10*i + 1)
Let p be 14/(-16)*(-138)/161. Let c(r) be the first derivative of -1/2*r + 1 - 1/2*r**4 + p*r**2 + 0*r**3. Let c(h) = 0. Calculate h.
-1, 1/2
Suppose 3*l = -19*l. Suppose 2/5*i - 2/5*i**2 + l = 0. What is i?
0, 1
Factor 0 - 2/9*g**5 - 10/9*g**3 + 0*g**2 + 0*g - 4/3*g**4.
-2*g**3*(g + 1)*(g + 5)/9
Let r(z) be the third derivative of -2*z**7/105 - z**6/10 - z**5/15 + z**4/2 + 4*z**3/3 - 3*z**2 + 135. Find n, given that r(n) = 0.
-2, -1, 1
Suppose 32*u**2 - 84*u**2 - 10 + 2*u**3 + 98*u - 38 = 0. Calculate u.
1, 24
Factor -1/10*v**5 - 2/5*v**2 + 0*v + 0 - 4/5*v**3 - 1/2*v**4.
-v**2*(v + 1)*(v + 2)**2/10
Let n(q) be the first derivative of q**7/280 + q**6/30 + q**5/10 + 19*q**3/3 + 8. Let b(k) be the third derivative of n(k). Suppose b(d) = 0. What is d?
-2, 0
Let n = -42 - -44. Determine p so that p**n - p - 2*p**2 - p**3 + 3*p**2 = 0.
0, 1
Let c = 23447/40 + -2929/5. Factor 3/8*l - c*l**2 + 9/4.
-3*(l - 3)*(l + 2)/8
Let k(i) be the first derivative of 33*i**4/26 + 190*i**3/39 + 54*i**2/13 - 16*i/13 - 49. Suppose k(a) = 0. What is a?
-2, -1, 4/33
Let m = 123 - 121. Factor 19*f + 5*f**3 + 25*f + 16*f - 30*f**m - 40.
5*(f - 2)**3
Let j(q) be the first derivative of 0*q - 8/27*q**3 + 4/9*q**2 + 1/18*q**4 - 3. Suppose j(a) = 0. Calculate a.
0, 2
Suppose 27 = 9*a - 0*a. Let i(v) be the first derivative of -1/13*v**4 + 0*v**2 + 2/65*v**5 - 6 + 0*v**a + 0*v. Factor i(q).
2*q**3*(q - 2)/13
Let w(m) be the first derivative of -m**6/27 + 8*m**5/45 - m**4/3 + 8*m**3/27 - m**2/9 - 305. Solve w(p) = 0 for p.
0, 1
Let y be (-6)/(-12)*2*9. Let q(x) = 2*x - 16. Let u be q(y). Solve 1/2*i**3 + 0 + 0*i + 1/2*i**u = 0.
-1, 0
Factor -19*f + f**2 + 42 + 8 - 70.
(f - 20)*(f + 1)
Let t(y) be the third derivative of -y**6/120 - y**4/12 + y**3/2 - 3*y**2 - 2. Let i be t(0). Factor 4/3 - 4/3*g**2 + 2/3*g - 2/3*g**i.
-2*(g - 1)*(g + 1)*(g + 2)/3
Suppose 0 = -3*w - 23 + 137. Factor w*l**2 - 7*l - 42*l**2 + 12 - l.
-4*(l - 1)*(l + 3)
Let x be 17/119 + 916/7. Let u = x + -67. Suppose 0 - 6*f**2 - 22*f**2 - 16 + u*f = 0. What is f?
2/7, 2
Let d(x) be the first derivative of -x**4/6 - 8*x**3/27 + 4*x**2/9 - 56. Factor d(j).
-2*j*(j + 2)*(3*j - 2)/9
Let s(b) be the second derivative of -2*b**3 + 0 - 1/4*b**4 - 6*b - 9/2*b**2. Solve s(q) = 0 for q.
-3, -1
Let y(v) be the first derivative of -2*v**3 - 2*v + 149. Let n(c) = 2 - 4 - 3*c - 7*c**2 + 4*c. Let f(l) = -4*n(l) + 5*y(l). Solve f(r) = 0.
-1
Factor 1/3*q**3 + 0 + 10/3*q + 11/3*q**2.
q*(q + 1)*(q + 10)/3
Factor -430*v + 605/2*v**3 - 1100*v**2 - 40.
5*(v - 4)*(11*v + 2)**2/2
Let x(k) be the third derivative of 5/42*k**5 - 4/21*k**4 + 0 - 1/1176*k**8 - 2*k**2 + 4/21*k**3 - 19/420*k**6 + 0*k + 1/105*k**7. Let x(p) = 0. What is p?
1, 2
Let p(w) = -w**5 