**3 + 0 - 1/120*y**6 + 1/12*y**4 + 0*y. Factor c(v).
-v*(v - 2)*(v - 1)**2*(v + 1)
Let h be 2 - (4/(-13))/((-2)/11). Let w = 14/39 + h. Factor 2/3*p**2 - w + 0*p.
2*(p - 1)*(p + 1)/3
Let u be (-191)/(-3) + (-2)/3. Let w = 255/4 - u. Factor w*z**5 + 0*z**2 + 0*z**4 + 0 + 3/4*z - 3/2*z**3.
3*z*(z - 1)**2*(z + 1)**2/4
Suppose 0 = -8*o - 158 + 190. Factor -40/3*l**3 + 6*l**o + 0*l + 0 + 8/3*l**2.
2*l**2*(l - 2)*(9*l - 2)/3
Factor 64/9*q + 20/9*q**3 - 2/9*q**4 - 64/9*q**2 + 0.
-2*q*(q - 4)**2*(q - 2)/9
Let i(n) be the first derivative of n**5/10 + 7*n**4/4 + 13*n**3/6 + 202. Factor i(h).
h**2*(h + 1)*(h + 13)/2
Let t(y) = y**3 - 10*y**2 + 10*y - 7. Let v be t(9). Solve -2*h**v - 244*h + 220*h - 44 - 28 = 0.
-6
Let q(b) be the third derivative of 0*b**4 - 10*b**2 + 0*b + 0 - 1/120*b**6 + 0*b**3 + 0*b**5. Let q(d) = 0. Calculate d.
0
Let m(z) be the second derivative of -z**4/48 - 25*z**3/4 - 5625*z**2/8 + 73*z. Solve m(j) = 0 for j.
-75
Let h(u) be the third derivative of 0*u**5 + 1/140*u**7 + 0*u + 6*u**2 + 0*u**3 + 0*u**4 + 0 + 1/240*u**6. Determine a so that h(a) = 0.
-1/3, 0
Let m(o) be the third derivative of 1/48*o**4 + 0 + 1/18*o**3 + 1/360*o**5 + 0*o + 10*o**2. Factor m(i).
(i + 1)*(i + 2)/6
Let i(l) be the first derivative of -34*l**3 + 88*l**2 - 10*l + 72. Find r such that i(r) = 0.
1/17, 5/3
Let y(b) be the third derivative of b**6/240 + 7*b**5/20 + 115*b**4/16 - 529*b**3/3 - 192*b**2 + 2. Factor y(n).
(n - 4)*(n + 23)**2/2
Let o(z) = 99*z**2 - 2*z + 2. Let w be o(-4). Suppose 4*l + 1592*l**2 - 4 - w*l**2 + 2 = 0. Calculate l.
1
Let u(z) be the first derivative of -5*z**4/12 - 5*z**3/3 + 15*z**2/2 - 4*z - 40. Let i(c) be the first derivative of u(c). Solve i(t) = 0 for t.
-3, 1
Let v be (16/(-18))/((-86)/387). Let h(q) be the second derivative of -1/2*q**2 - 1/6*q**3 + 0 + 1/12*q**v - q + 1/20*q**5. Factor h(a).
(a - 1)*(a + 1)**2
Let w = 5014 + -5014. Factor 0 + 0*c**3 + 0*c + w*c**4 - 2/17*c**5 + 0*c**2.
-2*c**5/17
Let j(z) be the first derivative of 2*z + 0*z**3 - 35*z - z**3 - 30*z**2 + 12*z**2 + 4. Determine t so that j(t) = 0.
-11, -1
Let f(d) be the second derivative of d**7/560 - d**6/80 - 5*d**3/2 + 13*d. Let p(v) be the second derivative of f(v). Factor p(w).
3*w**2*(w - 3)/2
Suppose 4*o - p - 42 = 0, -4*o - 4*p + 27 = -5. Let z be ((-10)/(-40))/(2/o). Solve -2*w**3 + w**2 + 0*w + z*w**4 - 1/4*w**5 + 0 = 0 for w.
0, 1, 2
Suppose -10/7*x**2 + 10/7 + 2/7*x - 2/7*x**3 = 0. Calculate x.
-5, -1, 1
Let y(l) be the third derivative of -1/225*l**5 + 2/45*l**3 + 0*l - 5*l**2 + 0 - 1/60*l**4. Let y(u) = 0. Calculate u.
-2, 1/2
Let m(p) be the first derivative of -7 + 80*p + 5/3*p**3 + 20*p**2. Factor m(c).
5*(c + 4)**2
Let g(n) = 91*n**5 - 1179*n**4 + 3357*n**3 + 6847*n**2 + 2506*n + 256. Let x(a) = 2*a**5 + a**3 - a**2 + 2*a. Let m(l) = g(l) - 5*x(l). Let m(h) = 0. What is h?
-1, -2/9, 8
Let s(z) be the second derivative of -1/50*z**5 + 10*z - 1/30*z**4 + 0 + 1/10*z**3 + 1/50*z**6 - 1/210*z**7 - 1/10*z**2. Factor s(l).
-(l - 1)**4*(l + 1)/5
Let w(h) = -h**3 - h**2 + h. Let i(l) = -4*l**3 - 2*l**2 + 4*l. Let s = 0 - 3. Let o be s + 20/4 - 3. Let t(v) = o*i(v) + 2*w(v). What is m in t(m) = 0?
-1, 0, 1
Let r(i) be the first derivative of i**4/18 + 26*i**3/27 + 22*i**2/9 - 251. Factor r(o).
2*o*(o + 2)*(o + 11)/9
Let m(x) = 2*x**2 + 20*x - 24. Let i(d) = -5*d**2 - 62*d + 72. Let l(f) = -4*i(f) - 11*m(f). Let w be l(13). Solve 4/3 + 2/3*y**2 + w*y = 0 for y.
-2, -1
Let c(k) be the first derivative of -k**4/4 + 94*k**3/3 - 60. Factor c(x).
-x**2*(x - 94)
Suppose 121 = 2*o + 2*q - 3, 192 = 3*o - 3*q. Let y be 50/12 - (-17)/(-102). Determine i so that -196*i**y - 436*i**2 + 48*i + o*i + 504*i**3 + 33*i - 16 = 0.
2/7, 1
Let -36/7 + 3/7*u**3 - 99/7*u + 4*u**2 = 0. What is u?
-12, -1/3, 3
Let c(t) be the first derivative of -9*t**5/20 + 2*t**4 - 7*t**3/2 + 3*t**2 + 2*t + 20. Let m(n) be the first derivative of c(n). Factor m(l).
-3*(l - 1)**2*(3*l - 2)
Factor -20/11*m**4 + 0 + 32/11*m + 2/11*m**5 - 80/11*m**2 + 6*m**3.
2*m*(m - 4)**2*(m - 1)**2/11
Let o(m) be the first derivative of m**5/20 + m**4/6 - m**3/6 - m**2 - 22*m + 13. Let x(f) be the first derivative of o(f). What is k in x(k) = 0?
-2, -1, 1
Let a be -3 - (424/(-40) - 28/(-4)). Let -1/10*q**2 - a*q - 1/2 = 0. What is q?
-5, -1
Let h(m) be the third derivative of m**7/42 + m**6/24 - 3*m**5/4 + 55*m**4/24 - 10*m**3/3 - m**2 - 66*m. Factor h(a).
5*(a - 1)**3*(a + 4)
Find r such that -2/13*r**5 + 0 + 10/13*r**2 + 6/13*r**4 + 18/13*r**3 + 0*r = 0.
-1, 0, 5
Let m(s) be the third derivative of 1/1470*s**7 + 1/140*s**5 + 7*s**2 - 1/210*s**6 + 0*s + 0 + 1/42*s**4 - 2/21*s**3. Suppose m(y) = 0. What is y?
-1, 1, 2
Let y(f) be the second derivative of f**9/4536 + f**8/630 + f**7/252 + f**6/270 - 7*f**3/6 + 5*f. Let p(q) be the second derivative of y(q). Factor p(w).
2*w**2*(w + 1)**2*(w + 2)/3
Let o(t) = -4*t - 6. Let q(k) = -k - 2. Let f(j) = -2*o(j) + 7*q(j). Let c be f(6). What is a in 9*a**5 + a**c + a**4 - 8*a**5 - 3*a**5 = 0?
0, 1
Let j = -356550 - -3223811/9. Let g = -1649 + j. Determine x so that -2/9*x**2 - g*x - 50/9 = 0.
-5
Let 34/5*j**2 - 2/5*j**3 + 76/5*j + 0 = 0. What is j?
-2, 0, 19
Let n(f) be the second derivative of 2*f**7/21 - 158*f**6/15 - 162*f**5/5 - 2*f**4/3 + 322*f**3/3 + 162*f**2 + 2*f + 384. Factor n(c).
4*(c - 81)*(c - 1)*(c + 1)**3
Let u = 19 + -14. Suppose -5*d = -g + 12, 0 = 2*g + 2*g + 2*d - 4. Suppose 8*q**4 - 6*q**u + 2*q**5 - 3*q**3 + q**3 + 6*q**3 - 8*q**g = 0. What is q?
-1, 0, 1, 2
Factor 4*q**2 - 48 + 6*q**2 - 42*q - 6*q**2 - 2*q.
4*(q - 12)*(q + 1)
Factor 108/5*f**3 - 486/5 + 96*f**2 - 108/5*f + 6/5*f**4.
6*(f - 1)*(f + 1)*(f + 9)**2/5
Suppose 0 - 24/13*z**2 + 14/13*z**3 - 8/13*z = 0. Calculate z.
-2/7, 0, 2
Let v(y) be the second derivative of -y**5/50 + y**4/60 + y**3/15 - y**2/10 - 212*y. Factor v(b).
-(b - 1)*(b + 1)*(2*b - 1)/5
Let g(w) be the first derivative of 15/4*w**4 - 7*w**3 + 9/2*w**2 - 3/5*w**5 - 9 + 0*w. Factor g(i).
-3*i*(i - 3)*(i - 1)**2
Let y be (-90)/(-208) + (1869/(-168) - -11). Find u such that -2/13*u**4 + 2/13*u**5 + y*u**2 - 2/13 - 4/13*u**3 + 2/13*u = 0.
-1, 1
Let b be -3*(-508)/1584 + 2/(-11). Let a = -5/44 + b. Let 0 + a*l - 8/3*l**2 = 0. Calculate l.
0, 1/4
Let v(h) be the first derivative of -h**7/2940 + h**5/420 + 28*h**3/3 - 15. Let p(n) be the third derivative of v(n). Factor p(g).
-2*g*(g - 1)*(g + 1)/7
Let h(m) be the first derivative of -17 + 0*m**4 + 0*m - 6/11*m**2 - 2/55*m**5 + 14/33*m**3. Find d such that h(d) = 0.
-3, 0, 1, 2
Factor -76/11*n + 30/11*n**2 - 2/11*n**3 + 48/11.
-2*(n - 12)*(n - 2)*(n - 1)/11
Let v(l) be the first derivative of -2*l**6/3 - 28*l**5/5 + 27*l**4 - 116*l**3/3 + 20*l**2 - 40. Solve v(y) = 0.
-10, 0, 1
Let a(b) be the second derivative of -b**5/80 - 3*b**4/16 - 9*b**3/8 + 9*b**2 + 18*b. Let z(u) be the first derivative of a(u). Factor z(p).
-3*(p + 3)**2/4
Let c be (-4 - -5) + 477/45 + -10. Factor -4/5 + 8/5*q**3 - c*q + 4/5*q**2.
4*(q - 1)*(q + 1)*(2*q + 1)/5
Let t(d) be the first derivative of d**4/2 + 8*d**3/3 - 3*d**2 - 36*d - 52. Factor t(p).
2*(p - 2)*(p + 3)**2
Let q(s) be the first derivative of s**4/4 - 11*s**3/3 + 5*s**2 + 352. Factor q(y).
y*(y - 10)*(y - 1)
Suppose -5*h + 5*q - 240 = 0, 0 - 4 = q. Let t be -9*(-1)/12 - 33/h. Suppose -4/13 - 2/13*p**4 - t*p**2 + 14/13*p + 10/13*p**3 = 0. What is p?
1, 2
Let r be (1 + (-867)/(-15))/((-11)/(-55)). Let 16*c**2 + 323 - 14*c - 649 - 2*c**4 - 18*c - 2*c**5 + 16*c**3 + r = 0. What is c?
-2, -1, 2
Determine r so that -2/7*r**2 - 66/7 + 4*r = 0.
3, 11
Factor 24/5*k**2 + 128/5 - 2/5*k**3 + 24*k.
-2*(k - 16)*(k + 2)**2/5
Let m be 3/6 - (-5)/2. Let 22*l - 37*l**2 - m*l**2 - 2*l - 35*l**4 - 95*l**3 = 0. Calculate l.
-2, -1, 0, 2/7
Let z be (-2 + 5/10)/((-780)/832). Let -z*j**2 + 0 + 18/5*j**5 + 2/5*j + 24/5*j**4 - 4/5*j**3 = 0. What is j?
-1, 0, 1/3
Suppose 68*d = 80*d + 141*d - 459. Solve -8/5*i**2 + 16/5*i + 0 - 4/5*i**d + 2/5*i**4 = 0.
-2, 0, 2
Factor -40*b**2 + 3 + 72*b**3 + b**5 - 6*b**4 - 3 - 108*b**3.
b**2*(b - 10)*(b + 2)**2
Let z = 7 - 25. Let q = -16 - z. Find t such that 6*t**q + 18*t**2 + 7*t**4 - 4*t**4 + 12*t + 15*t**3 = 0.
-2, -1, 0
Let m(h) be the first derivative of -2*h**5/45 - 14*h**4/9 - 2*h**3 + 72. Determine f so that m(f)