 -t**3 - 2*t**2 + 4*t - 10. Let f be d(-4). Let m be l(f). Factor m + 4/13*i - 2/13*i**2.
-2*i*(i - 2)/13
Let o = -20359 + 20361. Factor 8/5*h**2 + o*h + 2/5*h**3 + 4/5.
2*(h + 1)**2*(h + 2)/5
Let m be 4*(1 + 1/(-2)). Let b = -803 + 813. Factor -b*s - 3*s**m + 7 - 1 + 7*s.
-3*(s - 1)*(s + 2)
Let c(v) be the third derivative of -v**7/560 - v**6/80 + 19*v**5/160 - 7*v**4/32 - 16*v**2 + 4. Factor c(q).
-3*q*(q - 2)*(q - 1)*(q + 7)/8
Let j(c) be the third derivative of -c**8/15120 - c**7/1890 - c**6/540 + 7*c**5/15 - 15*c**2. Let s(u) be the third derivative of j(u). Factor s(g).
-4*(g + 1)**2/3
Let r(s) = 1. Let a(l) = 2*l**2 - 2*l - 10. Let g(k) = a(k) + 6*r(k). Let h be g(-3). What is v in -9 + 27 + 2*v**3 + 30*v - 6*v**2 + h*v**2 = 0?
-3, -1
Suppose -15*h**3 + 4 + 9*h**2 + 27*h**3 - 16 - 12*h + 4*h**4 + 0*h - h**4 = 0. Calculate h.
-2, -1, 1
Let x(z) = -z**3 - 12*z**2 - 1. Let f be x(-7). Let i = f - -250. Let 0 - 3/2*d**3 - 1/2*d**5 + 2*d**i + 2*d - 2*d**2 = 0. What is d?
-1, 0, 1, 2
Let r(j) be the first derivative of -8*j - 2*j**2 - 12 + 4/3*j**3. Let r(a) = 0. What is a?
-1, 2
Let j(y) be the third derivative of 13*y**2 + 1/12*y**4 + 0 + 1/105*y**7 + 0*y + 1/168*y**8 - 1/15*y**5 + 1/3*y**3 - 1/30*y**6. Find a, given that j(a) = 0.
-1, 1
Let n be (8/(-168))/(6/(-21)). Let q(b) be the second derivative of 0 + 2*b - 1/20*b**5 - b**2 + 1/6*b**4 + n*b**3. Let q(g) = 0. What is g?
-1, 1, 2
Determine f so that -8/19*f**2 + 8/19*f + 0 + 8/19*f**4 - 6/19*f**3 - 2/19*f**5 = 0.
-1, 0, 1, 2
Let -2*g**5 + 6/5*g**4 + 4/5*g**3 + 0*g + 0 + 0*g**2 = 0. Calculate g.
-2/5, 0, 1
Suppose 81815*i - 81839*i = 0. Suppose -18/7*p**4 + 12/7*p + 3/7*p**5 + i - 36/7*p**2 + 39/7*p**3 = 0. Calculate p.
0, 1, 2
Let c be ((-1)/3)/((-3)/162). Factor 2*h**2 - 2*h**4 + 0*h**4 - c*h + 18*h.
-2*h**2*(h - 1)*(h + 1)
Let g(d) be the second derivative of 1/8*d**3 - 3/80*d**5 + 0 + 1/120*d**6 - 1/4*d**2 - 5*d + 1/48*d**4. Factor g(p).
(p - 2)*(p - 1)**2*(p + 1)/4
Let w(k) be the first derivative of 0*k + 1/3*k**3 + 0*k**2 + 1/24*k**4 + 3 - 1/720*k**6 - 1/240*k**5. Let i(g) be the third derivative of w(g). Solve i(q) = 0.
-2, 1
Let -32/9 - 50/9*z**2 + 80/9*z = 0. Calculate z.
4/5
Let h(o) be the third derivative of -o**5/330 + o**4/22 - 8*o**3/33 - 183*o**2. Factor h(w).
-2*(w - 4)*(w - 2)/11
Let y(c) be the first derivative of -c**6/24 - c**5/5 + 11*c**4/16 - c**3/2 - 45. Factor y(g).
-g**2*(g - 1)**2*(g + 6)/4
Solve 9/5*v**5 - 48/5*v**4 + v + 2*v**3 + 0 + 24/5*v**2 = 0.
-1/3, 0, 1, 5
Let k(p) be the first derivative of p**8/20160 - p**7/10080 - p**6/4320 + p**5/1440 - p**3/3 - 5. Let a(y) be the third derivative of k(y). Factor a(h).
h*(h - 1)**2*(h + 1)/12
Factor -1/7*y**3 - 8/7*y - 4/7 - 5/7*y**2.
-(y + 1)*(y + 2)**2/7
Let y be 2*((-2013)/288 + 7). Let q(u) be the third derivative of 6*u**2 - y*u**4 + 0*u + 0 + 1/24*u**3 + 1/240*u**5. Factor q(s).
(s - 1)**2/4
Suppose -3*x - 7*x + 20 = 0. Factor -15*m + 4*m + 36*m**x - 43*m**2 - 4 - 5*m.
-(m + 2)*(7*m + 2)
Let y be (-1 - -1) + (56/(-30) - -2). Let p = 1446/5 + -288. Find w such that -p - y*w**2 + 4/5*w = 0.
3
Let p be (-222)/(-504) - 0 - 2/8. Let 0 - 2/21*u**2 + 4/21*u**3 + 2/21*u**4 - p*u = 0. Calculate u.
-2, -1, 0, 1
Determine w, given that 238*w**2 + 216*w**5 + 128/3*w + 8/3 + 576*w**4 + 558*w**3 = 0.
-1, -2/3, -1/6
Let p(w) = -4*w**2 - 8*w. Let h(a) = -5 + 2 - 1 + 3. Let b(j) = 12*h(j) - p(j). Factor b(g).
4*(g - 1)*(g + 3)
Let g be (5/(-72))/(90/(-54)). Let p(j) be the third derivative of 7*j**2 - 1/70*j**7 + 1/60*j**5 + 5/24*j**4 + 0 - g*j**6 + 1/3*j**3 + 0*j. Factor p(w).
-(w - 1)*(w + 1)**2*(3*w + 2)
Let l(w) = w**2 + w. Let q be l(1). Let m = 2 + -2. What is h in -3*h + 2 + 0*h**q - h**4 - h**2 + 3*h**3 + m*h**2 = 0?
-1, 1, 2
Let n(s) be the third derivative of -s**5/540 + 5*s**4/216 + s**3/9 + 11*s**2. Factor n(h).
-(h - 6)*(h + 1)/9
Factor 45*f**2 + 12*f - 13*f**2 + 8 - 15*f**2 - 13*f**2.
4*(f + 1)*(f + 2)
Let j be (-24)/5*(-4 + -1). Suppose 4*d = 23*r - 19*r + j, -3*d + r + 16 = 0. Find m such that 0 - 2/3*m - d*m**5 + 17/3*m**3 + 1/3*m**4 - 1/3*m**2 = 0.
-1, -1/3, 0, 2/5, 1
Suppose 16*f - 22 = 2*p + 18*f, 4*f = -2*p - 20. Let s be ((-1)/(20/8))/(p/40). Find d such that -20/3*d - 8/3 - 16/3*d**2 - s*d**3 = 0.
-2, -1
Let y(o) be the first derivative of 4*o**5/5 - 29*o**4 + 420*o**3 - 3038*o**2 + 10976*o + 46. Factor y(q).
4*(q - 8)*(q - 7)**3
Let b(g) be the third derivative of 7*g**5/75 + g**4/6 + g**2 - 3*g. Solve b(z) = 0.
-5/7, 0
Let u(s) be the third derivative of 7*s**5/80 + 691*s**4/32 - 99*s**3/4 - 6*s**2. Factor u(g).
3*(g + 99)*(7*g - 2)/4
Let o = 64 + -62. Factor 2*i**3 - 8*i**o - 3*i**3 - 10*i - i**3 - 4.
-2*(i + 1)**2*(i + 2)
Let k(j) = 6*j**2 - 3*j - 2. Let l be k(-1). Let r(x) = 2*x - 10. Let n be r(l). Let -15*v**3 + 15*v**2 - n*v**3 + 6*v - 2*v**3 = 0. What is v?
-2/7, 0, 1
Solve -22/17*t**3 + 0 - 6/17*t**4 + 8/17*t**2 + 0*t = 0.
-4, 0, 1/3
Suppose 12 = 5*h - 5*u - 3, -5*h + 23 = 3*u. Factor -c**3 + 1/2*c**h + 1/2*c + 1/2*c**5 + 1/2 - c**2.
(c - 1)**2*(c + 1)**3/2
Let r(i) be the third derivative of 0*i**3 - 1/12*i**4 + 0 + 0*i - 17*i**2 - 1/60*i**5. Factor r(p).
-p*(p + 2)
Let u(z) = z**3 + 8*z**2 + z + 3. Let r be u(-8). Let m(k) = -2*k - 8. Let y be m(r). Factor -2*b - b**y + 6*b**2 - 3*b**2.
2*b*(b - 1)
Determine k so that 2*k**2 - 22/9*k + 4/9 = 0.
2/9, 1
Let f be (-2)/(-2 + (-18)/(-12)). Let z(g) be the third derivative of 4/15*g**3 + 10*g**2 + 3/2*g**5 + 0 + 0*g - g**f. Find w such that z(w) = 0.
2/15
Let j(n) be the second derivative of -n**4/12 - 19*n**3/6 + 33*n. Suppose j(g) = 0. Calculate g.
-19, 0
Let v(w) be the first derivative of 0*w**3 + 3/4*w + 3/32*w**4 - 9/16*w**2 + 17. Factor v(p).
3*(p - 1)**2*(p + 2)/8
Solve -2/3*g + 0 - 8/3*g**3 + 10/3*g**2 = 0 for g.
0, 1/4, 1
Find i such that -54*i**2 - 3/2*i**4 + 15*i**3 + 84*i - 48 = 0.
2, 4
Let g(x) be the first derivative of x**6/3 + 8*x**5/5 - 5*x**4/2 - 54. Factor g(q).
2*q**3*(q - 1)*(q + 5)
Let -30/11*j**4 - 68/11*j**2 + 124/11*j**3 - 126/11*j + 98/11 + 2/11*j**5 = 0. Calculate j.
-1, 1, 7
Suppose -95 = 27*d + 57*d - 263. Factor 0*x + 0*x**d + 0 + 4/5*x**4 + 4/5*x**3.
4*x**3*(x + 1)/5
Let v(m) = m + 24. Let x be v(0). Factor x*o**2 - 5*o - 41*o**2 + 22*o**2 - 30.
5*(o - 3)*(o + 2)
Let r(o) be the first derivative of -25 + 4/3*o**3 - 18*o + 1/4*o**4 - 3/2*o**2. Let r(u) = 0. Calculate u.
-3, 2
Let j = -13 + 16. Factor -24*a**4 + 28*a**j - 8*a**2 + a - a - 8*a**4 + 12*a**5.
4*a**2*(a - 1)**2*(3*a - 2)
Let l(h) be the first derivative of h**6/2 + 3*h**5/5 - 3*h**4/2 + 120. Find q such that l(q) = 0.
-2, 0, 1
Let h(b) = 12*b**2 + 18*b - 14. Let r(q) = -6*q**2 - 9*q + 9. Let k(s) = 3*h(s) + 5*r(s). Determine x, given that k(x) = 0.
-1, -1/2
Let i be ((-70)/245)/((-32)/1092). Let -4*r**4 + 2*r**3 + i*r**2 + 1/2 + 17/4*r = 0. What is r?
-1, -1/4, 2
Suppose -6*z - 3 = -7*z. Solve -5*v**z - 2 + 5*v - 4 + 6 = 0.
-1, 0, 1
Let s be 313/42 + -3 - 4 - (-12)/(-72). Factor -68/7*c**3 + 52/7*c**4 - 2*c**5 + 32/7*c**2 + s*c - 4/7.
-2*(c - 1)**4*(7*c + 2)/7
Solve 26/3*a**3 - 98/3*a - 70/3*a**2 + 0 - 2/3*a**4 = 0.
-1, 0, 7
Let u = -88/3 + 30. Suppose 7 + 1 = 4*f - 3*t, 0 = 4*f + 5*t - 8. Solve 0 - u*j**3 + f*j**2 - 4/3*j = 0.
0, 1, 2
Let 0*g - 2/7*g**4 + 4/7*g**2 + 0*g**3 - 2/7 = 0. Calculate g.
-1, 1
Let c(l) = -4*l**4 - 6*l**3 - 14*l**2 - 2*l - 2. Let a(k) = 20*k**4 + 23*k**3 + 57*k**2 + 9*k + 9. Let j(m) = 2*a(m) + 9*c(m). Factor j(y).
4*y**2*(y - 3)*(y + 1)
Let r be (66/(-2))/3 - (-1961)/159. Solve 4/3*a + 8/3 - 16/3*a**2 + 8/3*a**4 - 8/3*a**3 + r*a**5 = 0 for a.
-2, -1, 1
Let r(q) be the first derivative of 4/7*q**2 + 25 + 10/7*q - 2/21*q**3. Factor r(u).
-2*(u - 5)*(u + 1)/7
Let k(w) = 5*w**4 + 2*w**3 - 4*w**2 + 1. Let m(n) = -66*n**4 + 11*n**2 - 27*n**3 - 311*n - 12 + 40*n**2 + 311*n. Let s(o) = -27*k(o) - 2*m(o). Factor s(x).
-3*(x - 1)**2*(x + 1)**2
Let w = -3 - -3. Let x = 901/7 - 1795/14. Determine b, given that -b + b**3 - x*b**4 + 1/2 + w*b**2 = 0.
-1, 1
Let a(m) = -11*m + 33. Let w be a(3). Let y(b) be the first derivative of -1/4*b**3 + 3/10*b**5 + w*b - 7 + 0*b**2 - 3/16*b**4. Factor y(c).
3*c**2*(c - 1)*(2*c + 1)/4
Let v(a) = 599*a**2 - 579*a**2 + 40 - 4*a**3 + 14 - 52*a. Let b(m) = 17*m**3 - 81*m**2 + 207*m - 216. Let k(y) = 2*b