*s - 4*p + 16 + 9 = 0. Suppose 5*m + 2*x + x - 13 = 0, -s*m - x = -11. Solve -12*f**2 - 36*f**2 - 2*f**4 - 18*f**3 - 30*f - m*f = 0.
-4, -1, 0
Find t such that -16*t**2 + 48*t**2 - 29*t**2 - 4*t**2 - 145*t - 144 = 0.
-144, -1
Let c(v) be the third derivative of -5*v**8/336 - 4*v**7/105 - 3*v**6/160 + v**5/48 + v**4/48 - 2566*v**2. Solve c(y) = 0.
-1, -1/2, 0, 2/5
Let v(s) be the third derivative of s**7/420 - s**6/15 + 83*s**5/120 - 19*s**4/6 + 7*s**3 + 2912*s**2. Solve v(r) = 0 for r.
1, 2, 6, 7
Let g be (-48)/360 - 68/(-85). Solve -g - 2*r - 2*r**2 - 2/3*r**3 = 0.
-1
Let t(j) be the first derivative of 1/5*j**5 - 2*j**2 + 191 + j**3 - 4*j + j**4. Factor t(z).
(z - 1)*(z + 1)*(z + 2)**2
Suppose -27*c + 50*c - 10787 = 0. Let d = c - 467. Factor -2/7*z**d - 2/7 - 4/7*z.
-2*(z + 1)**2/7
Let k be 34/3 - ((-22 - -34) + -6). Let i(m) be the first derivative of 6*m**4 + 0*m + 4/5*m**5 - 16*m**2 - 2/3*m**6 + 32 - k*m**3. Suppose i(b) = 0. What is b?
-2, -1, 0, 2
Let l(v) be the second derivative of -5*v**7/42 + 331*v**6/3 - 108897*v**5/4 - 274730*v**4/3 - 275560*v**3/3 - 3*v - 73. Factor l(y).
-5*y*(y - 332)**2*(y + 1)**2
Let l = -2 - 45. Let x = 47 + l. Factor 54*g - 21*g**2 + x + 25 - g**4 + 10*g**3 - 15*g**2 - 52.
-(g - 3)**3*(g - 1)
Suppose 210*q - 208*q - 4 = 0. Factor 23 + 36*r + 3*r**q + 22 - 12.
3*(r + 1)*(r + 11)
Let y(o) be the third derivative of -o**8/84 + 4*o**7/35 + 7*o**6/15 - 12*o**5/5 - 85*o**4/6 - 28*o**3 - 12781*o**2. Solve y(w) = 0 for w.
-2, -1, 3, 7
Let h(b) be the third derivative of b**5/90 - 125*b**4/36 + 7288*b**2. Factor h(a).
2*a*(a - 125)/3
Let l(r) be the third derivative of -1/80*r**5 - 5/4*r**4 + 1/16*r**6 + 4*r + 1/2*r**3 + 0 - 16*r**2. Factor l(p).
3*(p - 2)*(p + 2)*(10*p - 1)/4
Let f(g) be the third derivative of 0 + 0*g**4 + 14*g**2 + 1/70*g**7 + 0*g**5 + 1/224*g**8 + 1/80*g**6 + 0*g + 0*g**3. Solve f(s) = 0.
-1, 0
Let h be 8*(1/7)/(66/2541). Let 9*f - 12*f**2 + 16*f**2 + 30*f**3 - h*f**2 - 5*f**5 + 6*f = 0. What is f?
-3, 0, 1
Let y(c) be the second derivative of 0*c**3 - 45*c + 1/75*c**6 - 1/6*c**4 + 0*c**2 - 1 + 2/25*c**5. Factor y(k).
2*k**2*(k - 1)*(k + 5)/5
Let r be -5 + 35/20 + (-4 - 255/(-60)) - -5. Factor -2/3*s**2 - r - 8/3*s.
-2*(s + 1)*(s + 3)/3
Factor 582/7 + 580/7*x - 2/7*x**2.
-2*(x - 291)*(x + 1)/7
Solve 50 + 999/4*s + 795/4*s**2 - s**3 = 0.
-1, -1/4, 200
Let s(j) be the second derivative of j**5/12 + 35*j**4/6 + 490*j**3/3 - 4*j**2 - j - 65. Let f(i) be the first derivative of s(i). Factor f(k).
5*(k + 14)**2
Let s(k) be the first derivative of -k**4/32 - 19*k**3/24 + 4*k**2 - 11*k/2 + 666. Solve s(t) = 0 for t.
-22, 1, 2
Suppose 2 = f, -5*j - 112*f + 6107 = -111*f. Suppose 2*r + r = 9. Factor 3*g - j*g**2 + 1215*g**2 - 8*g**r - g.
-2*g*(g + 1)*(4*g - 1)
Let s(n) = -n**3 - 1. Let i(m) = 4*m**2 + 2*m - 2. Let w be (1 - 1)/(-4) - -1*59. Suppose 4*f + 63 = w. Let h(q) = f*i(q) + 2*s(q). What is l in h(l) = 0?
-1, 0
Let c be (-1 - -1)/((-1)/1). Let z be (-1)/(-12)*27336/603 - 4/(-18). Factor -3/10 + c*w**3 + 4/5*w + 1/10*w**z - 3/5*w**2.
(w - 1)**3*(w + 3)/10
Let w = 69 + -64. Suppose -15 = 2*d + w*b + 10, 0 = 4*d - 3*b - 15. Factor -2/5*i**3 + d + 4/3*i**2 + 16/15*i.
-2*i*(i - 4)*(3*i + 2)/15
Let y(v) = -2*v**3 - 3*v**2 - 13*v - 3. Let x(f) = -f**3 - 2*f**2 - 14*f - 2. Let c(d) = 3*x(d) - 2*y(d). What is p in c(p) = 0?
-4, 0, 4
Let h = -613/331800 + 6/1975. Let c(l) be the third derivative of 0*l + 1/140*l**5 - 31*l**2 - h*l**6 - 1/56*l**4 + 1/42*l**3 + 0. Factor c(f).
-(f - 1)**3/7
Let l(r) be the first derivative of r**4/20 + 9*r**3/5 + 51*r**2/10 + 141*r + 49. Let t(m) be the first derivative of l(m). Find x such that t(x) = 0.
-17, -1
Suppose -39 - 31 - 59 = -43*p. Let o(g) be the second derivative of 1/24*g**4 + g**2 + 25*g + 0 + 5/12*g**p. Let o(s) = 0. Calculate s.
-4, -1
Let s = -137510 + 137515. Solve 0 + 15/4*l**4 + 5*l - s*l**2 - 25/4*l**3 = 0 for l.
-1, 0, 2/3, 2
Let a(w) be the third derivative of -w**5/360 - 139*w**4/18 - 77284*w**3/9 + 6*w**2 + 86. Determine s, given that a(s) = 0.
-556
Factor -64 - 306*b**3 - 56*b**2 + 147*b**3 + 155*b**3 + 124*b.
-4*(b - 1)**2*(b + 16)
Let a = 3520/133 - 397/19. Factor 66/7 + 3/7*m**2 + a*m.
3*(m + 2)*(m + 11)/7
Let v(h) be the second derivative of 289/2*h**2 + 14 + 3*h + 1/12*h**4 + 17/3*h**3. Solve v(w) = 0 for w.
-17
Suppose -118*j - 4*m = -117*j - 22, 4*m = -3*j + 26. Find f such that 2/7 + 10/7*f**3 + 22/7*f**2 + j*f = 0.
-1, -1/5
Let w(a) be the first derivative of -4*a**3/3 + 642*a**2 - 1280*a + 263. Factor w(y).
-4*(y - 320)*(y - 1)
Suppose -5885 = 2*m + 5*q - 5911, -2*m + 2 = -q. Factor 34/3*o**m + 4/3*o**2 - 38/3*o**4 + 0 + 0*o.
-2*o**2*(o - 1)*(19*o + 2)/3
Factor 10/7*g**3 + 0 + 12/7*g**2 - 2/7*g**4 + 0*g.
-2*g**2*(g - 6)*(g + 1)/7
Let r be 6/(-12) - (-54895)/(-38). Let n = -1445 - r. Solve -2662/19 - n*b**3 - 726/19*b - 66/19*b**2 = 0 for b.
-11
Let q be (9 - 7)*(13/5 - 33/330). Let m(u) be the first derivative of 15*u - u**q - 10/3*u**3 + 15 - 5*u**4 + 10*u**2. Find r, given that m(r) = 0.
-3, -1, 1
Let k(v) be the first derivative of -280*v**3 + 100*v**4 - 1056*v**5 + 24*v**2 - 80*v + 296*v**2 - 127 + 1043*v**5. Suppose k(r) = 0. Calculate r.
2/13, 2
Suppose -213 = 11560002*n - 11560073*n. Factor 3/4*c**n + 33/4*c**2 + 18*c - 27.
3*(c - 1)*(c + 6)**2/4
Let c be (-4)/(-12) + (-1507)/(-165). Let x = c - 269/30. Let -d + 0 - x*d**4 + 3/2*d**2 + 0*d**3 = 0. What is d?
-2, 0, 1
Let w be (5/(-20)*-3)/(1/(-8)). Let a = 8 + w. Factor -20*j + 4*j + 8*j**3 - 4*j**a + 4*j**4 + 8*j.
4*j*(j - 1)*(j + 1)*(j + 2)
Let z be (-2 - -7)*(-61 - 8203/(-130)). Solve -41/4 - z*s - 1/4*s**2 = 0.
-41, -1
Factor 20563 - 48*o**2 + 846*o + 20*o**2 - 36534 - 43672 + 25*o**2.
-3*(o - 141)**2
Let n(y) be the first derivative of y**6/15 + 3*y**5/5 + 3*y**4/2 - 54*y - 35. Let z(f) be the first derivative of n(f). Factor z(p).
2*p**2*(p + 3)**2
Let u(m) be the second derivative of 2*m**6/15 + 32*m**5 + 6238*m**4/3 - 8640*m**3 + 13122*m**2 + 1961*m. Factor u(b).
4*(b - 1)**2*(b + 81)**2
Let z(y) be the first derivative of 15*y**4/4 - 13*y**3 - 1794*y**2 - 1428*y + 6626. Determine m, given that z(m) = 0.
-14, -2/5, 17
Factor 0*z**2 - 776*z**3 + 26*z + 778*z**3 + 12 + 16*z**2.
2*(z + 1)**2*(z + 6)
Suppose 48 = 23*i - 2*m, -79*i + 81*i = -2*m + 2. Factor -8/5*v**4 - 12*v - 26/5*v**i + 8*v**3 - 18/5.
-2*(v - 3)**2*(2*v + 1)**2/5
Factor -2801*o - 1900*o - 736 + 3949*o - 200*o**2 - 4*o**3.
-4*(o + 2)**2*(o + 46)
Let n(d) be the first derivative of 8*d + 12 - 1/6*d**4 - 4/3*d**3 - 5/3*d**2. Factor n(b).
-2*(b - 1)*(b + 3)*(b + 4)/3
Factor -211250/7 + 1298/7*r**2 + 2/7*r**3 + 209950/7*r.
2*(r - 1)*(r + 325)**2/7
Let p be (20/(-175))/(1319/(-664776)). Factor 32/5*a**2 + 168/5*a + p + 2/5*a**3.
2*(a + 4)*(a + 6)**2/5
Let v(j) be the third derivative of -j**5/210 - 283*j**4/21 - 377*j**3/7 + 8*j**2 - 31*j + 2. Factor v(h).
-2*(h + 1)*(h + 1131)/7
Let y(g) be the first derivative of 2*g**5/25 - 3*g**4/10 - 4*g**3/5 + 28*g**2/5 - 48*g/5 - 159. Factor y(t).
2*(t - 2)**3*(t + 3)/5
Let f(p) = 2*p**2 + p**2 - 4*p**2 - 5*p + 13 - 19. Let v be f(-3). Factor 3*j**2 - j - 3*j**4 + v*j**4 + 7*j - 6*j**3.
-3*j*(j - 1)*(j + 1)*(j + 2)
Let m(z) be the first derivative of -z**4/22 - 474*z**3/11 - 126735*z**2/11 - 252050*z/11 + 2360. Solve m(g) = 0.
-355, -1
Let l = -4607 - -414631/90. Let x(k) be the third derivative of 0*k**3 + 0 - 1/108*k**4 - l*k**5 + 0*k - 2*k**2. Factor x(n).
-2*n*(3*n + 1)/9
Suppose -33813 = -6*d - 7*d. Let f = d + -1497. Factor -118 - 170 - f*r - 167*r**2 - 177*r**2 - 32*r**3 + 4*r**3.
-4*(r + 6)**2*(7*r + 2)
Let f be (13 + 0)*(4 - (2 + 3)). Let j(i) = i**2 + 14*i + 15. Let l be j(f). Solve 37*g**2 - 5*g**3 - 64*g**2 + 32*g**l = 0.
0, 1
What is b in 5327*b - 5362*b - 467 + 771 + 686 - 5*b**2 = 0?
-18, 11
Let l be 1/(1/2) - (-4)/(-2). Suppose -o + 2 = 0, 2*d - 5*o = -l*d - 2. Factor 6*y**4 + 3*y**5 + 5*y**2 + 0*y**d + 12*y - 17*y**2 - 9*y**3.
3*y*(y - 1)**2*(y + 2)**2
Let g = 837 - 833. Suppose 11634*n**3 - 5798*n**3 - 28*n**5 - 5808*n**3 + 8*n**2 - 8*n**g = 0. What is n?
-1, -2/7, 0, 1
Let x be ((-88290)/(-2289))/((-4)/(-7) + 0). Factor -1/2*y**3 + 91125/2 + x*y**2 - 6075/2*y.
-(y - 45)**3/2
Let s(o) be the second derivative of 20*o**2 + 5/3*o**3 - 5/12*o**4 + 76*o + 0.