21 + 153*o**2/14 - 180*o/7 + 10542. Solve f(t) = 0.
-15, -12, 1
Let u(o) be the second derivative of 11*o + 5/3*o**3 - 5/2*o**2 - 5/12*o**4 - 1. Find w such that u(w) = 0.
1
Let v = -5319/10 + 532. Let l(k) be the second derivative of v*k**6 + 0 + 6*k - 1/14*k**7 + 0*k**3 - 1/4*k**4 + 3/20*k**5 + 0*k**2. Factor l(t).
-3*t**2*(t - 1)**2*(t + 1)
Solve 160*u**2 - 4*u**4 - 106008*u + 12*u**3 + 106008*u = 0 for u.
-5, 0, 8
Let f = 3651 - 54764/15. Let m(u) be the second derivative of f*u**3 + 0*u**2 + 1/30*u**4 + 0 + 10*u. Determine s, given that m(s) = 0.
-1, 0
Let s(u) be the first derivative of -u**9/10584 - u**8/980 - u**7/588 + 142*u**3/3 + 228. Let w(i) be the third derivative of s(i). Suppose w(f) = 0. What is f?
-5, -1, 0
Let p(d) be the third derivative of -1/30*d**4 - d - 3/175*d**7 + 27*d**2 - 3/50*d**5 - 1/420*d**8 - 7/150*d**6 + 0*d**3 + 0. Suppose p(o) = 0. What is o?
-2, -1, -1/2, 0
Suppose -10663 = 17*g + 19886. Let u = g - -3595/2. Factor 0 + 0*b - u*b**2.
-b**2/2
Let y be ((-8)/(-38))/2 + (-44)/418. Let o(q) be the first derivative of y*q - 4 + q**2 + 2/3*q**3. Factor o(t).
2*t*(t + 1)
Let q(h) be the third derivative of 0*h - 105*h**2 - 1/150*h**5 + 0*h**3 - 1/20*h**4 + 1. Factor q(l).
-2*l*(l + 3)/5
Let v(y) = -11*y**2 - 13*y - 10. Let n(p) = -190*p**2 - 220*p - 175. Let d(g) = -2*n(g) + 35*v(g). Factor d(q).
-5*q*(q + 3)
Let r be (0 - 0)*(-44 - -43). Let p(t) be the second derivative of r*t**2 + 1/6*t**3 + 1/60*t**4 + 0 + 7*t. Suppose p(u) = 0. Calculate u.
-5, 0
Let x(r) be the third derivative of r**8/336 + r**7/15 + 9*r**6/20 + 22*r**5/15 + 65*r**4/24 + 3*r**3 - 1741*r**2. Factor x(u).
(u + 1)**3*(u + 2)*(u + 9)
Factor 117/2 - 75/8*f**2 - 12*f + 3/8*f**3.
3*(f - 26)*(f - 2)*(f + 3)/8
Factor 16638075/7 - 14130/7*t + 3/7*t**2.
3*(t - 2355)**2/7
Let u(t) = 105*t**3 + 105*t**2 - 745*t - 625. Let r(q) = 8*q**3 + 8*q**2 - 57*q - 48. Let b(j) = -40*r(j) + 3*u(j). Solve b(k) = 0.
-3, -1, 3
Let h be (7899/10532)/(((-38)/(-32))/1). Let -2/19*r**4 + 14/19 - 16/19*r + 16/19*r**3 - h*r**2 = 0. What is r?
-1, 1, 7
Let x be (23 + (-483)/21)/1. Factor 1/2*q + 7/4*q**3 - 9/4*q**2 + x.
q*(q - 1)*(7*q - 2)/4
Factor -20808/13*w - 2040/13*w**2 - 50/13*w**3 + 0.
-2*w*(5*w + 102)**2/13
Let m(o) be the second derivative of 3*o**5/160 + 33*o**4/32 + 119*o**3/16 + 261*o**2/16 - 734*o. Factor m(v).
3*(v + 1)*(v + 3)*(v + 29)/8
Solve -196/3*q**4 + 8 + 1228/3*q**2 - 340/3*q - 140/3*q**3 = 0 for q.
-3, 1/7, 2
Let c(h) be the third derivative of -2*h**2 - 23 + 0*h + 0*h**3 - 15/16*h**4 + 0*h**5 + 1/48*h**6. Let c(y) = 0. What is y?
-3, 0, 3
Solve -56 - 4*i**4 - 876/7*i**2 + 356/7*i**3 - 236*i = 0 for i.
-1, -2/7, 7
Determine q, given that 556*q**2 + 39*q**4 + 4*q**5 + 3656*q + 25*q**4 - 3112*q - 12*q**4 + 192 + 252*q**3 = 0.
-4, -3, -1
Factor 4/7*f**2 + 316*f - 2216/7.
4*(f - 1)*(f + 554)/7
Let 556/3*c**2 - 80/3*c + 220*c**4 + 12*c**5 + 0 - 1172/3*c**3 = 0. What is c?
-20, 0, 1/3, 1
Let f be 764/(-16) - (-156 - -108). Find k, given that -1/4*k**5 - 3/4*k**3 + 0 + 3/4*k**4 + f*k**2 + 0*k = 0.
0, 1
Let o(x) be the second derivative of x**4/72 + 2*x**3/3 - 697*x**2/12 - 13*x - 97. Factor o(f).
(f - 17)*(f + 41)/6
What is w in -483*w + 12 + 3*w**5 - 45*w**4 - 4*w**3 - 269*w**3 - 111 + 69*w - 519*w**2 - 21 = 0?
-2, -1, 20
Let w(t) = -6*t**4 - 120*t**3 - 260*t**2 + 3463*t + 49. Let z(a) = 2*a**4 + 40*a**3 + 88*a**2 - 1154*a - 14. Let l(g) = -2*w(g) - 7*z(g). Solve l(d) = 0.
-12, 0, 4
Let w = -2501 + 27529/11. Suppose -35*n + 88 = -44 + 27. Suppose 54/11*p**n + w*p + 2/11 + 54/11*p**2 = 0. Calculate p.
-1/3
Let w(k) be the third derivative of k**8/112 - k**7/70 - 17*k**6/20 - 31*k**5/10 + 33*k**4/8 + 63*k**3/2 - 2431*k**2. Suppose w(s) = 0. Calculate s.
-3, -1, 1, 7
Let w be (4 + -2)/(64440/77508). Let l = w + -1/179. Solve -24/5*s**2 + 4*s - 2/5*s**4 + l*s**3 - 6/5 = 0 for s.
1, 3
Let y(k) be the second derivative of k**4/48 - 19*k**3/8 + 143*k**2/2 - 5090*k. Factor y(c).
(c - 44)*(c - 13)/4
Let z(c) = c**2 - 6*c - 5. Let n be z(8). Let w = 3450 + -3439. Factor 3*d**2 - w*d + 13*d - n*d.
3*d*(d - 3)
Factor 288/11*i + 2/11*i**4 + 336/11*i**2 + 50/11*i**3 + 0.
2*i*(i + 1)*(i + 12)**2/11
Let f = 28871/9 + -28865/9. Solve 4 + 10/3*c - f*c**2 = 0.
-1, 6
Suppose 73*y + 100 = -27*y. Let j(c) = c + 1. Suppose -4*z = -6*k + 2*k - 8, 1 = z. Let p(a) = -2*a**2 + 13*a - 21. Let g(h) = k*p(h) + y*j(h). Factor g(w).
2*(w - 5)*(w - 2)
Factor -10*m**2 + 0 - 232/5*m + 2/5*m**3.
2*m*(m - 29)*(m + 4)/5
Suppose 0 = -0*d + 3*d - 2*g - 4, -10 = 5*g. Let f = d - -9. Factor -22*n - 45 + n - f*n - 5*n**2.
-5*(n + 3)**2
Let h(r) be the first derivative of -9*r**4/16 + 364*r**3 - 1453*r**2/2 + 484*r - 962. Factor h(m).
-(m - 484)*(3*m - 2)**2/4
Determine g so that 118/5*g**2 - 918/5 - 2/5*g**3 - 798/5*g = 0.
-1, 9, 51
Let m be ((-15)/20)/((-2)/8). Factor 82*t**m - t**2 - 165*t**3 + 3 - 4*t + 85*t**3.
(t - 1)**2*(2*t + 3)
Let p be 3 + (-35)/15 + (-235)/3. Let d = 1171/15 + p. Factor -d*k**3 + 0*k + 2/5*k**4 + 0 - 2/5*k**2 + 2/5*k**5.
2*k**2*(k - 1)*(k + 1)**2/5
Let r(f) = f. Let t be r(3). Factor 19*k**t - 16*k**3 + 5*k**5 - 8*k**5.
-3*k**3*(k - 1)*(k + 1)
Determine p, given that 10126 - 20080 + 620*p + 4*p**2 + 10578 - 8*p**2 = 0.
-1, 156
Factor -2/13*f**5 - 48/13*f**2 - 20/13*f**4 + 0*f - 56/13*f**3 + 0.
-2*f**2*(f + 2)**2*(f + 6)/13
Let x(i) be the first derivative of 2*i**5/65 + 19*i**4/26 - 178*i**3/39 + 69*i**2/13 - 6860. Solve x(w) = 0 for w.
-23, 0, 1, 3
Let s(y) = 4*y**3 + 4*y**2 - 68*y + 8. Let z(l) = l**2 - l + 2. Let x(i) = -s(i) + 4*z(i). Factor x(f).
-4*f*(f - 4)*(f + 4)
Let 0*y + 27/2 - 1/6*y**2 = 0. What is y?
-9, 9
Let z be -3 + (6 + -5 - -4). Let z*i**3 + 32*i**2 - 160*i + 188*i + 2*i**3 = 0. Calculate i.
-7, -1, 0
Let s(r) = -168*r**3 + r**2 + 2*r + 1. Let p be s(-1). Let q be ((-2)/3)/((-392)/p). Determine u so that 2/7 - 6/7*u - q*u**3 + 6/7*u**2 = 0.
1
Let w = -45391 + 45391. Suppose -2/3*h**3 - 2/3*h**5 + 4/3*h**4 + 0 + w*h**2 + 0*h = 0. What is h?
0, 1
Let a(i) be the third derivative of -i**4/24 + 5*i**3/2 - 82*i**2. Let u be a(13). Solve -1/2*j**u + 0 + 1/4*j**3 + 1/2*j**4 - 1/4*j**5 + 0*j = 0 for j.
-1, 0, 1, 2
Let b(t) be the first derivative of 2*t**3/3 + 9*t**2/2 + 412. Suppose b(c) = 0. Calculate c.
-9/2, 0
Let x be (-3*13030/75)/((-6)/10). Let q = -868 + x. Find k such that q*k - 1/6*k**2 + 0 = 0.
0, 4
Let c(h) be the third derivative of -h**8/504 - 17*h**7/315 - 4*h**6/9 - 32*h**5/45 - 157*h**2. Suppose c(m) = 0. What is m?
-8, -1, 0
Suppose 2/9*s**3 + 0 + 22/9*s + 8/3*s**2 = 0. Calculate s.
-11, -1, 0
Let r(i) = -5*i**4 - 19*i**3 - 9*i**2 - i + 18. Let z(y) = 11*y**4 + 41*y**3 + 17*y**2 + 3*y - 36. Let x(j) = 9*r(j) + 4*z(j). Factor x(u).
-(u - 1)*(u + 2)*(u + 3)**2
Suppose 3*k**4 + 1152*k - 1296 + 32*k**3 - 4*k**4 + 78381*k**2 + 0*k**4 - 78693*k**2 = 0. Calculate k.
2, 6, 18
Let l(w) be the third derivative of -800/9*w**3 + 3*w**2 - 1/180*w**5 + 0*w - 10/9*w**4 - 5. Suppose l(i) = 0. Calculate i.
-40
Suppose 77421*w - 38809 + 1575/4*w**2 + 1/2*w**3 = 0. Calculate w.
-394, 1/2
Let g be (-320)/(-360)*(-18)/4. Let l be 152/570 + g/(-3). Solve 0 - 4/5*o**5 + 16/5*o - l*o**4 + 12/5*o**3 + 32/5*o**2 = 0 for o.
-2, -1, 0, 2
Let a be (27/(-36)*4/(-18))/(27 + -19). Let v(y) be the second derivative of 1/160*y**5 + 0 + 18*y + a*y**3 + 1/48*y**4 + 0*y**2. Factor v(l).
l*(l + 1)**2/8
Suppose 0 = 3*s - 9, s - 15 = -23*r + 21*r. Let y(q) be the third derivative of 1/48*q**4 + 35*q**2 + 1/6*q**3 + 0 - 1/240*q**r - 1/60*q**5 + 0*q. Factor y(f).
-(f - 1)*(f + 1)*(f + 2)/2
Let y(q) be the third derivative of -q**5/20 + 77*q**4/8 - 75*q**3 + 3261*q**2. Factor y(w).
-3*(w - 75)*(w - 2)
Let c = 949398 + -949398. Let z be ((-1 - -1) + -1)*-4. Let c + 2/3*w**z + 2*w + 14/3*w**2 + 10/3*w**3 = 0. What is w?
-3, -1, 0
Let q be (-8)/60*(-12 + (-574)/28). Factor -4 - 1/3*z**2 - q*z.
-(z + 1)*(z + 12)/3
Let r(z) = -3*z**2 + 15*z + 4. Let j be r(5). Determine o, given that -4*o**3 + 18*o**2 - 5*o**4 - 13*o**2 + j*o**3 = 0.
-1, 0, 1
Factor -43/3*j - 1/3*j**2 + 46.
-(j - 3)*(j + 46)/3
Let s be (27/378)/(7/42). Let k = 2 + -2. Factor 3/7*l**3 + k - 6/7*l**2 + s*l.
3*l*(l - 1)**2/7
Let g(v) = -3*v**3 + 2*v**2 + 3*v - 5. Let l(w) = -10*w**3 + 6*w**2 + 10*w - 14. Let t(x) = -8*g(x) + 