3. Solve v(o) = 0.
-1, 0, 1
Let a(i) be the first derivative of -3/10*i**5 + 5/4*i**2 - 1/3*i - 36 + 11/8*i**4 - 37/18*i**3. Suppose a(f) = 0. What is f?
1/3, 1, 2
Let a(b) be the second derivative of b**5/120 - 431*b**4/72 + 1284*b**3 + 3888*b**2 - 406*b. Factor a(w).
(w - 216)**2*(w + 1)/6
Determine s so that -240*s + 16*s**4 - 188*s**2 + 48*s - 4*s**5 - 165*s**2 + 289*s**2 + 64*s**3 = 0.
-2, 0, 2, 6
Let z(f) be the third derivative of -f**8/756 - 2*f**7/35 - 5*f**6/18 - 73*f**5/135 - 4*f**4/9 + 1698*f**2. What is b in z(b) = 0?
-24, -1, 0
Let u(n) be the first derivative of n**4/36 - n**3/9 - 23*n**2/9 - 8*n - 4013. Factor u(y).
(y - 9)*(y + 2)*(y + 4)/9
Let v(k) be the third derivative of k**6/90 + 27*k**5/10 - 41*k**4/12 - 122*k**3/9 + 2279*k**2 + 1. Solve v(h) = 0 for h.
-122, -1/2, 1
Let m(z) = z**4 + z**3 + z**2 + 2*z + 1. Suppose -159 - 429 = 49*f. Let v(c) = -10*c**4 - 33*c**3 - 41*c**2 - 19*c - 1. Let s(o) = f*m(o) - 3*v(o). Factor s(i).
3*(i + 1)**2*(i + 3)*(6*i - 1)
Let t = -204569 + 204573. What is h in -h + 1/2*h**3 - 3/4*h**2 + 1 + 1/4*h**t = 0?
-2, 1
Let s(t) be the first derivative of -2/5*t**5 + 0*t + 3/2*t**4 - 2*t**3 + 71 + t**2. Factor s(x).
-2*x*(x - 1)**3
Let q(x) = 27*x - 131. Let b be q(5). Let t be (b/(-30))/(695/50 - 14). Suppose 5/3*f**2 + t*f**3 + 1/3*f + 0 = 0. What is f?
-1, -1/4, 0
Suppose -10 = -4*x + 2. Find t, given that 749*t**3 - 745*t**x + 32 - 4*t - 15*t**2 - 17*t**2 = 0.
-1, 1, 8
Let y be (-28)/(-12)*52/(-637)*(-378)/84. Determine b so that -6/7*b**3 + 0 - 2/7*b + y*b**2 + 2/7*b**4 = 0.
0, 1
Let s(w) be the third derivative of -w**5/80 + 49*w**4/32 - 147*w**3/4 + 217*w**2 - 9. What is i in s(i) = 0?
7, 42
Let y be (-1626 - -1536)*4/(-90). Suppose 0*j + 1/4*j**3 + 0 - 1/4*j**5 + 1/4*j**2 - 1/4*j**y = 0. Calculate j.
-1, 0, 1
Let f be 125/(-250)*0/(1 - 2). Suppose -4*z = 3*s - f*s - 23, 5*z + 10 = 4*s. Factor -1/2 - z*x**2 + 5/2*x.
-(x - 1)*(4*x - 1)/2
Let l(y) = -7 + 8*y + 8*y**2 + y - 2*y - 3*y**3. Let m(u) = 3*u**3 - 7*u**2 - 8*u + 8. Suppose 52*o + 150 = 22*o. Let r(v) = o*m(v) - 4*l(v). Factor r(w).
-3*(w - 2)*(w - 1)*(w + 2)
Let j(d) = 76*d**3 + 16*d**2 + 82*d + 108. Let i(w) = -63*w**3 - 15*w**2 - 83*w - 110. Let l(t) = -6*i(t) - 5*j(t). Find s such that l(s) = 0.
-3, -2, 10
Let z(y) be the third derivative of 0 - 7/12*y**4 + 46/9*y**3 + 0*y - 1/90*y**5 + 129*y**2. Factor z(d).
-2*(d - 2)*(d + 23)/3
What is q in 3*q**5 + 4*q**2 - 4*q**2 + 388149*q**3 - 387951*q**3 + 75*q**4 = 0?
-22, -3, 0
Let f = 1343 - 787. Let s = f - 554. Factor -4/3*p**s + 2/3*p**3 - 2/3*p + 4/3.
2*(p - 2)*(p - 1)*(p + 1)/3
Suppose 0*m + 2*g = m - 8, 5*g = 4*m - 20. Suppose m = -13*a + 258 - 219. Factor 10/9*f**2 + 1/3*f + 11/9*f**a + 0 + 4/9*f**4.
f*(f + 1)**2*(4*f + 3)/9
Let g(s) = -45*s**2 - 70*s + 75. Let a(d) = 11*d**2 + 16*d - 18. Let f(o) = 25*a(o) + 6*g(o). What is l in f(l) = 0?
0, 4
Let m(d) = -2*d**2 - 16*d + 25. Let o be m(-9). Determine g, given that o*g + 29 - 3*g - g - 30 - 2*g**2 = 0.
1/2, 1
Suppose -426387 - 3*g**2 + 6*g**2 + 2262*g - 5*g**2 + 4*g**2 - 5*g**2 = 0. What is g?
377
Let i(h) = 16*h**2 + 180*h + 344. Let c(k) = -13*k**2 - 181*k - 346. Let a(p) = -4*c(p) - 3*i(p). Factor a(w).
4*(w + 2)*(w + 44)
Let y be (-2)/(-4)*(60/(-6) + 10) + 2. Let i(j) be the first derivative of 14 + 0*j - 2/3*j**3 - j**y. Factor i(z).
-2*z*(z + 1)
Let h(c) be the second derivative of -5*c**7/14 - 59*c**6/6 - 107*c**5/2 + 615*c**4/2 - 2915*c**3/6 + 605*c**2/2 + 661*c. Solve h(r) = 0.
-11, 1/3, 1
Let u be 444 + -480 - (-828)/21. Let n be (-3 + 0)/(21/(-20)). Let 12/7*g**4 + 0 + 6/7*g + u*g**3 + n*g**2 + 2/7*g**5 = 0. Calculate g.
-3, -1, 0
Solve -5/4*y**2 + 0 + 1685/2*y = 0.
0, 674
Suppose -184/3 - 2/9*k**2 - 190/9*k = 0. What is k?
-92, -3
Let x(a) be the second derivative of a**6/10 - 8*a**5/15 - 2*a**4/3 - 49*a**3/6 + 21*a - 1. Let l(j) be the second derivative of x(j). Solve l(s) = 0 for s.
-2/9, 2
Let u(p) = 6*p**2 + 41*p - 165. Let z(n) = 5*n**2 + 41*n - 168. Let j(k) = -4*u(k) + 5*z(k). Let j(q) = 0. What is q?
-45, 4
Let q be 2 + (10/(-15))/((-49)/357). Suppose -q + 4/7*m + 4/7*m**2 = 0. What is m?
-4, 3
Let f(q) be the second derivative of q**7/7560 + q**6/2160 - 13*q**4/12 - q**2 - 49*q. Let k(x) be the third derivative of f(x). Determine i so that k(i) = 0.
-1, 0
Let t(r) be the second derivative of -1/26*r**4 + 12*r + 0 - 11/39*r**3 - 6/13*r**2. Factor t(w).
-2*(w + 3)*(3*w + 2)/13
Let s(h) be the second derivative of -5*h**4/12 + 43*h**3/6 + 24*h**2 - 183*h. Let n(u) = 14*u**2 - 129*u - 143. Let k(v) = -4*n(v) - 11*s(v). Factor k(a).
-(a - 44)*(a + 1)
Let h(t) be the third derivative of t**6/1140 - 17*t**5/190 - 29*t**4/114 + 104*t**3/19 + 2842*t**2 + 2*t. Suppose h(x) = 0. What is x?
-3, 2, 52
Let o(i) be the first derivative of i**6/600 + i**5/60 + i**2/2 - 2*i + 64. Let l(z) be the second derivative of o(z). Factor l(u).
u**2*(u + 5)/5
Let g(d) be the second derivative of -d**4/6 - 7586*d**3/3 - 14386849*d**2 + 3*d - 1317. Factor g(x).
-2*(x + 3793)**2
Let h(a) be the first derivative of a**6/1140 - a**5/114 + a**4/57 - a**2 - 18. Let r(p) be the second derivative of h(p). Suppose r(j) = 0. Calculate j.
0, 1, 4
Let v be (-22 + 7248/(-240))*(1 - (-26)/(-6)). Factor 0 - v*g**2 + 38/3*g**3 - 2/9*g**4 - 1682/9*g.
-2*g*(g - 29)**2*(g + 1)/9
Let r be (-2124)/(-8)*4/(-6). Let a = 180 + r. Factor 2/3 - 1/3*z - 2/3*z**2 + 1/3*z**a.
(z - 2)*(z - 1)*(z + 1)/3
Solve -78*t + 2*t**2 + 80 + 217 + 319 = 0 for t.
11, 28
Let m(s) be the second derivative of s**7/70 - 8*s**6/75 - 6*s**5/25 + 16*s**4/15 + 8*s**3/5 - 199*s - 1. Find x such that m(x) = 0.
-2, -2/3, 0, 2, 6
Factor 0*s**4 + 17213*s**3 - 20*s**2 + 2*s**4 - 17211*s**3 + 8*s**2.
2*s**2*(s - 2)*(s + 3)
Suppose 0 = -9*y + 15*y - 60. Suppose -2*b + 2*i + y = 3*b, -4*b - 2*i = -26. Solve 8*u**4 + b*u**2 - 4*u**3 - 2*u**2 - 9*u**4 + 5*u**3 = 0.
-1, 0, 2
Let l(q) be the first derivative of q**6/9 - 62*q**5/5 + 705*q**4/2 + 4418*q**3/9 - 1433. Find d, given that l(d) = 0.
-1, 0, 47
Suppose -12 = -85*m + 82*m - 2*n, m + 7 = 3*n. Factor 1/8*k**m + 1/8*k**3 + 3/8 - 5/8*k.
(k - 1)**2*(k + 3)/8
Suppose 2*d + b + 7 = 0, -2327*b + 7 = -4*d - 2328*b. Let l(r) be the second derivative of 1/12*r**3 + 1/24*r**4 - 3/2*r**2 + d - 38*r. Solve l(z) = 0.
-3, 2
Factor 2/3*z**3 + 6*z**2 - 36*z - 144.
2*(z - 6)*(z + 3)*(z + 12)/3
What is b in -520*b - 59*b**4 - 89*b**3 + 177*b**3 + 5*b**5 + 300*b**2 + 22*b**3 - 16*b**4 = 0?
-2, 0, 2, 13
Let q = -391/78 + 139/26. Let t(k) be the second derivative of 0 - q*k**4 - 4/3*k**3 - 8/3*k**2 - 9*k - 1/30*k**5. Find a, given that t(a) = 0.
-2
Suppose -1176 + 1176 = -775*n. Find c such that 18/7*c**3 + n - 2/7*c**4 + 18/7*c**2 - 2/7*c**5 + 0*c = 0.
-3, -1, 0, 3
Let c(l) be the third derivative of 2*l + 1/240*l**5 + 1/12*l**3 + 0 + 5*l**2 + 1/32*l**4. Factor c(z).
(z + 1)*(z + 2)/4
Let i be (-8*11/88)/5 - (-29)/20. Factor 5/2*z**3 - 5/2*z + 0*z**2 - i*z**4 + 5/4.
-5*(z - 1)**3*(z + 1)/4
Let c = 535666/1205289 - -2/133921. What is q in -16/9*q**2 - 4/9 - 4/9*q**3 + 2/9*q**5 - 14/9*q + c*q**4 = 0?
-1, 2
Let q(a) be the third derivative of a**5/510 - 12*a**4/17 - 745*a**3/51 - 2142*a**2 + 2*a. Determine p, given that q(p) = 0.
-5, 149
Let m(g) = 60*g**2 - 6*g - 13. Let y be m(6). Let n = y + -14739/7. Factor -162/7 - n*p**2 - 2/7*p**3 - 198/7*p.
-2*(p + 1)*(p + 9)**2/7
Let r be (6 - 88/28)*((-69)/18 + 5). Let u(m) be the first derivative of -r*m - 6 + 35/12*m**4 - 35/6*m**2 + 10/9*m**3. Let u(z) = 0. Calculate z.
-1, -2/7, 1
Let c(o) be the third derivative of o**8/504 + 23*o**7/315 + 8*o**6/15 - 92*o**5/9 - 1300*o**4/9 + 2000*o**3/3 - 2989*o**2. Find a such that c(a) = 0.
-10, 1, 6
What is a in -16*a**4 + 35*a**3 - 4845*a + 268*a**2 + 48 + 5101*a + 9*a**3 = 0?
-2, -1, -1/4, 6
Let f be 3/(3 + 18/(-8)). Let b(v) = v**3 - 4*v**2 + 2. Let g be b(f). Factor 2*z - z**4 + 17*z**4 - 18*z**4 + 2*z**g - 2*z**3.
-2*z*(z - 1)*(z + 1)**2
Determine y, given that -152/11 - 502/11*y + 6/11*y**5 + 496/11*y**3 + 140/11*y**4 + 12/11*y**2 = 0.
-19, -4, -1, -1/3, 1
Let k(a) be the first derivative of a**6/120 + 73*a**5/160 + 9*a**4/16 + 7*a**3/3 - 4*a + 54. Let l(c) be the third derivative of k(c). Factor l(h).
3*(h + 18)*(4*h + 1)/4
Let t(c) be the third derivative of c**6/60 