 7252. Let k be b(-49). Suppose 3/5*s**3 + k - 48/5*s**2 + 192/5*s = 0. What is s?
0, 8
Let o(f) be the third derivative of -f**7/140 - f**6/40 + 3*f**5/40 + f**4/4 - f**3 + 31*f**2 + 7*f. Factor o(q).
-3*(q - 1)**2*(q + 2)**2/2
Let a(o) be the second derivative of -7/135*o**6 + 0*o**3 + 0*o**4 + 0*o**2 + 0 - 1/15*o**5 - 61*o. Factor a(v).
-2*v**3*(7*v + 6)/9
Let x(q) = -3*q**2 - 6*q + 13. Let b = -602 - -606. Let c(z) = z**2 + 2*z - 4. Let l(s) = b*x(s) + 11*c(s). Factor l(f).
-(f - 2)*(f + 4)
Factor -2/7*r**3 - 42507866/7 - 1662/7*r**2 - 460374/7*r.
-2*(r + 277)**3/7
Suppose 0 = 33*j - 475 - 251. Suppose -j*x = 5*x - 54. Let -4/9*f**3 - 32/9*f + 64/9 - 28/9*f**x = 0. Calculate f.
-4, 1
Let p be -10*2*22/(-88). Let c(x) be the second derivative of 0*x**2 + 3/80*x**p + 1/4*x**3 + 0 + 3/16*x**4 + 37*x. Let c(b) = 0. What is b?
-2, -1, 0
Let x(a) = a**2 - 5*a - 148. Let k be x(-10). Let w be (k/(-9))/((-13)/156). Solve 8/3 + 2/3*y**4 + 4/3*y**3 - w*y - 2*y**2 = 0.
-2, 1
Suppose 3*i + 13 - 50 = -5*t, 0 = 5*t + i - 39. Let h be 4 + (-6 + t)/((-2)/2). Factor 4/7*x**h - 12/7*x + 0.
4*x*(x - 3)/7
Factor -339488/13 + 1646/13*d**2 + 2/13*d**3 + 337840/13*d.
2*(d - 1)*(d + 412)**2/13
Suppose 0 = 4*d + 3 - 23. Suppose d*m + 612 = 612. Find a such that 9/5*a**3 + 0*a + m + 2/5*a**2 + 4/5*a**4 = 0.
-2, -1/4, 0
Let v be -5 + (23 - (-90)/(-5)). Let o(p) be the third derivative of v*p - 4*p**2 + 0*p**3 + 0 + 1/210*p**6 + 1/21*p**5 + 2/21*p**4. Let o(u) = 0. What is u?
-4, -1, 0
Let r be 5/(-20)*-8 - (-7)/2. Let c(h) = -20*h + 623. Let q be c(31). Factor 0 - g - 15/2*g**q - 9/2*g**2 - r*g**4 - 3/2*g**5.
-g*(g + 1)**3*(3*g + 2)/2
Let l = -4580013/5 + 916003. Factor 12/5 - 2/5*p - 8/5*p**2 - l*p**3.
-2*(p - 1)*(p + 2)*(p + 3)/5
Let g(p) be the third derivative of 19*p**7/2520 - p**6/40 - p**5/120 + p**4/12 - 3*p**3 - 24*p**2 - 1. Let h(z) be the second derivative of g(z). Factor h(a).
(a - 1)*(19*a + 1)
Solve -224*m**2 - 7*m**3 - 161 - 5*m**3 + 886*m - 1096*m**2 + 13 - 6*m**3 = 0 for m.
-74, 1/3
Let y(i) = -123*i**4 + 2650*i**3 - 3060*i**2 + 1206*i - 162. Let v(j) = -j**4 + j + 1. Let s(m) = 2*v(m) + y(m). Factor s(p).
-(p - 20)*(5*p - 2)**3
Suppose 2*m - 4 = 2*d, 14*m - 12*m = -d + 10. Factor 9 - 5*l + 2*l**d - 4*l + 9 - 3*l.
2*(l - 3)**2
Let d be 0 + 428/22 - (-1290)/2365. Let q be -11 + 1332/120 + 38/d. Factor 3*r - 1/2*r**3 + 0 + 5/2*r**q.
-r*(r - 6)*(r + 1)/2
Let g = 1081/3003 - -1/273. Let k(j) = j**3 + 44*j**2 + 124*j + 44. Let x be k(-41). Factor -2/11*r**2 + 2/11*r**x + 0 - g*r.
2*r*(r - 2)*(r + 1)/11
Let t be 12375/(-1250) - 10*-1. Let a(c) be the first derivative of -1/5*c**3 - 1/20*c**4 + 3/5*c + 10 + t*c**2. Determine o so that a(o) = 0.
-3, -1, 1
Let c = -1445 + 1446. Let w = 2 - -2. Factor c - 1 + w*q**4 - 16*q**2 - 5*q + 4*q**3 - 11*q.
4*q*(q - 2)*(q + 1)*(q + 2)
Let s(w) be the first derivative of w**8/840 - w**7/350 + w**5/300 + w**2 + 8*w + 137. Let t(j) be the second derivative of s(j). Find c, given that t(c) = 0.
-1/2, 0, 1
Let r(i) be the second derivative of -i**5/4 + 115*i**4/6 - 215*i**3/6 - 225*i**2 + 759*i. Factor r(j).
-5*(j - 45)*(j - 2)*(j + 1)
Let n(p) = -p**3 - 2*p**2 + 1. Let w(z) = 8*z**3 + 3756*z**2 + 2500*z - 1248. Let f(y) = 4*n(y) - w(y). Suppose f(o) = 0. Calculate o.
-313, -1, 1/3
Let m(w) be the third derivative of 0*w - 47/12*w**4 + 2*w**2 + 1/60*w**5 - 35 + 2209/6*w**3. Factor m(k).
(k - 47)**2
Let h be 174113/(-399240) + 4/18*2. Let a(d) be the second derivative of 26*d + h*d**5 + 1/3*d**2 + 0 + 1/4*d**3 + 1/12*d**4. Let a(i) = 0. Calculate i.
-4, -1
Factor 172*z + 479*z + 289*z + 241081 + 42*z + z**2.
(z + 491)**2
Let r(h) be the first derivative of 1445*h - 1275/2*h**2 + 203 - 5/4*h**4 - 55*h**3. Factor r(d).
-5*(d - 1)*(d + 17)**2
Let q(k) be the first derivative of -3*k**4/20 + 33*k**3 + 999*k**2/10 + 501*k/5 + 1555. Suppose q(d) = 0. Calculate d.
-1, 167
Let p(b) = 191*b - 1143. Let s be p(6). Solve -3/4*l**2 + 1/4*l**s - 3/2*l + 2 = 0.
-2, 1, 4
Factor 6*d**2 - 3/2*d**4 + 0 + 48*d - 12*d**3.
-3*d*(d - 2)*(d + 2)*(d + 8)/2
Let g(a) be the first derivative of -5*a**4/12 - 155*a**3/3 - 4805*a**2/2 - 115*a - 15. Let z(p) be the first derivative of g(p). What is s in z(s) = 0?
-31
Let q be (3/((-9)/(-2)))/((-2)/3). Let d be (20/(-8))/(q + (-21)/(-24)). Solve 0*l - 25*l**2 - 115*l**4 + 120*l**4 + d + 0*l = 0.
-2, -1, 1, 2
Let j be (-8)/14 + -1 + 2. Suppose -675*q = -671*q + 36, 4*q = -l - 34. Factor 3/7*h**3 - 3/7 - j*h + 3/7*h**l.
3*(h - 1)*(h + 1)**2/7
Let h be 69/5 + 29/145. Factor -80*d**3 + h*d**3 - 24*d**4 - 3*d**5 - 27*d + 0*d**2 - 74*d**2 + 2*d**2.
-3*d*(d + 1)**2*(d + 3)**2
Let m(k) be the first derivative of -k**8/210 + k**7/42 + 2*k**6/45 - k**5/10 + k**3/3 + 23*k**2/2 + 6. Let j(g) be the third derivative of m(g). Factor j(h).
-4*h*(h - 3)*(h + 1)*(2*h - 1)
Solve 355*g - 5*g**2 + 110 + 83 + 917 = 0 for g.
-3, 74
Let c be (200/(-300))/((-2)/(-36)*2). Let k be 6/(-6) + -5*c/10. Determine f, given that 3/5*f**k + 0 - 6/5*f = 0.
0, 2
Find z such that 43/4*z + 11/2 + 5*z**2 - 1/4*z**3 = 0.
-1, 22
Suppose 7*a - 438 = 4*n + 8*a, -n + 4*a - 118 = 0. Let b be 10 + -2 + n/14. Factor 3/7 - 2/7*w**2 + 4/7*w - b*w**4 - 4/7*w**3.
-(w - 1)*(w + 1)**2*(w + 3)/7
Suppose 5*s - 38 = -5*o - 73, -4*s - 43 = -o. Factor 0 - 2/7*l**2 - 12/7*l + 2/7*l**o.
2*l*(l - 3)*(l + 2)/7
Let t(u) be the first derivative of -3*u**7/280 - u**6/60 + 7*u**5/40 - u**4/4 - u**3/3 - u**2/2 + 13. Let x(g) be the third derivative of t(g). Factor x(h).
-3*(h - 1)*(h + 2)*(3*h - 1)
Let h(d) be the first derivative of -d**5/20 + 11*d**4/8 - 9*d**3 + d**2 - d - 64. Let t(m) be the second derivative of h(m). Determine i so that t(i) = 0.
2, 9
Let o be (-54)/(-12) + (-15)/6. Factor -a**3 + 21*a**3 + o*a**4 - 6*a**4 - a**4.
-5*a**3*(a - 4)
Let z(q) be the second derivative of -q**6/10 - 597*q**5/10 - 9900*q**4 + 199*q**3 + 118803*q**2/2 + 3497*q. Find f, given that z(f) = 0.
-199, -1, 1
Let u(t) = 5*t + 2. Let y be u(0). Solve 16*q + 10 - 60*q**2 - q + 65*q**y = 0.
-2, -1
Let y(n) be the second derivative of 7*n - 1/45*n**6 + 4*n**2 + 5/18*n**4 - 7/45*n**5 + 0 + 8/9*n**3. Let m(t) be the first derivative of y(t). Factor m(x).
-4*(x - 1)*(x + 4)*(2*x + 1)/3
Suppose -156*y**5 - 84*y**5 - 1608*y**4 + 44*y + 76*y**2 + 144*y**3 + 52*y - 343*y**2 + 1884*y**4 - 9 = 0. What is y?
-1, 3/20, 1/2, 1
Let t(g) be the first derivative of -2*g**3/3 - 60*g**2 - 342*g + 165. Suppose t(a) = 0. What is a?
-57, -3
Suppose 4/3*y**2 - 22/3*y - 8 + 2/3*y**3 = 0. What is y?
-4, -1, 3
Suppose 816 - 1722 = -302*u. Let -2/3*r**2 + 10/3*r**u + 0 + 2/3*r**4 - 10/3*r = 0. Calculate r.
-5, -1, 0, 1
Let i(k) be the third derivative of -k**8/560 + 6*k**7/175 - 17*k**6/200 - 19*k**5/50 + 21*k**4/10 - 4*k**3 - 3900*k**2. Solve i(c) = 0.
-2, 1, 2, 10
Let t(b) be the first derivative of -2*b**6/9 + 58*b**5/45 + 11*b**4/18 - 202*b**3/27 - 89*b**2/9 - 8*b/3 + 883. Let t(i) = 0. Calculate i.
-1, -1/6, 3, 4
Let d(u) = -7*u**4 + 20*u**3 + 61*u**2 + 24*u + 10. Let r(c) = 3*c**4 - 10*c**3 - 29*c**2 - 12*c - 4. Let k(m) = 2*d(m) + 5*r(m). Solve k(t) = 0 for t.
-1, 0, 12
Let l(f) be the second derivative of -f**5/5 - 86*f**4 + 346*f**3 - 520*f**2 + 2914*f. Factor l(g).
-4*(g - 1)**2*(g + 260)
Let g(a) be the first derivative of 12*a**5/35 + 22*a**4/7 - 2948*a**3/21 + 944*a**2/7 + 960*a/7 + 5016. What is z in g(z) = 0?
-20, -1/3, 1, 12
Let s be (5 + (-11)/2)*-20. Find f such that 176*f**2 - 348*f**2 - s + 11*f + 171*f**2 = 0.
1, 10
Suppose 270 = 20*a - 350. Let -a*b + 82*b - 11*b**2 - 12 - b**2 = 0. Calculate b.
1/4, 4
Factor 5/2*x**4 + 100*x**2 + 0 + 65/2*x**3 + 0*x.
5*x**2*(x + 5)*(x + 8)/2
Let q(f) be the first derivative of 63/4*f**2 + 6*f**3 + 3/8*f**4 + 15*f - 134. What is s in q(s) = 0?
-10, -1
Let q = -2775714/11 + 252348. Factor 10*f**2 - q*f + 4/11.
2*(f - 1)*(55*f - 2)/11
Let n(t) be the third derivative of -65*t**2 + 21/20*t**5 + 0 - 3*t**4 + 49/40*t**6 + 0*t + 2*t**3. Suppose n(k) = 0. Calculate k.
-1, 2/7
Suppose 486/5*x**3 - 6000 + 5160*x - 6372/5*x**2 = 0. Calculate x.
2, 50/9
Let c be 5 + (-4 - 0)*-1. Suppose -5*m + c + 11 = 0. Factor 189*t**4 - 5*t**2 - 186*t**4 - m*t**2 - 6*t.
3*t*(t - 2)*(t + 1)**2
Let j(w) be the second derivative of -2*w**6/15 - 122*w**5/25 - 91*w**4/5 - 80*w**