*2*(q + 1)**2
Let -3/5*t**3 - 24/5 + 3/5*t + 24/5*t**2 = 0. Calculate t.
-1, 1, 8
Let k = -2171 + 6514/3. Determine d, given that 0*d - k*d**4 + 0*d**2 + 0*d**3 + 0 = 0.
0
Suppose 3*a - 10 = -4*m, -52*a + 6 = -55*a. Determine q so that -6/11*q**2 + 0 - 4/11*q + 0*q**3 + 2/11*q**m = 0.
-1, 0, 2
Suppose 5*f + 164 = -z, 64 - 212 = 5*f - 3*z. Let q = f - -34. Find g, given that -9/5*g**5 - 81/5*g**3 + 6*g**q - 24/5 + 48/5*g**4 + 36/5*g = 0.
-2/3, 1, 2
Determine n so that -10/3*n**3 + 12 - 20*n + 1/3*n**4 + 37/3*n**2 = 0.
2, 3
Suppose 2*z + 3*n = 15, 5*z + 6 = -4*n + 33. Let v be (z/4)/((-147)/(-56)). Factor -2/7*d + v*d**2 - 2/7 + 2/7*d**3.
2*(d - 1)*(d + 1)**2/7
Let f(y) = y**3 + y - 1. Let i(d) = 2*d**4 + 4*d**3 - 2*d**2 - 2. Let l(q) = -q - 3. Let a be l(-1). Let w(u) = a*i(u) + 4*f(u). Factor w(t).
-4*t*(t - 1)*(t + 1)**2
Let g(f) be the second derivative of -3*f**6/55 + 7*f**5/110 + f**4/6 - 7*f**3/33 - 2*f**2/11 - 41*f + 1. Let g(y) = 0. What is y?
-1, -2/9, 1
Let j(a) = -15*a**4 + 50*a**3 + a**2 - 60*a - 20. Let f(z) = -10*z**4 + 33*z**3 + z**2 - 40*z - 13. Let r(x) = 8*f(x) - 5*j(x). Find k, given that r(k) = 0.
-1, -1/5, 2
Let j(t) = 6*t**2 + 2*t - 2. Let g be j(1). Let f be -1 + (-9)/g - -2 - -1. What is n in 0 - 2*n**2 - f*n - 3/2*n**3 = 0?
-1, -1/3, 0
Let y(f) be the third derivative of f**6/30 - f**5/3 - 2*f**4/3 + 40*f**3/3 + 3*f**2 + 21*f. Factor y(q).
4*(q - 5)*(q - 2)*(q + 2)
Let 137*w**4 - 2395*w**2 + 2313*w**2 + 3*w**5 - 165*w**3 + 107*w**4 = 0. Calculate w.
-82, -1/3, 0, 1
Let u(l) = l**3 + 8*l**2 + 3*l + 26. Let o be u(-8). Factor 19 - 3*n**o - 2*n - 19.
-n*(3*n + 2)
Let j(l) be the third derivative of l**8/420 - 2*l**7/105 + 11*l**6/600 + 71*l**5/300 - 9*l**4/10 + 6*l**3/5 - 3*l**2 + 164*l. What is f in j(f) = 0?
-2, 1/2, 3/2, 2, 3
Let q be -4 + -1 - (7 + -9). Let d be 2 - 0/(3/q). Determine f so that 20 - 20 - 2*f**2 + d*f**3 = 0.
0, 1
Let a(t) be the first derivative of 3*t**4/4 + 7*t**3 + 21*t**2 + 24*t - 80. Factor a(g).
3*(g + 1)*(g + 2)*(g + 4)
Suppose -1 = -2*u + 5*m, -4*u + 4*m + 2 = -6. Factor y**2 + 51*y**3 - y**4 - 54*y**u + y**5 + y + y.
y*(y - 2)*(y - 1)*(y + 1)**2
Let i(o) = -4*o**2 - o. Let m(c) = 10*c**3 - 146*c**2 + 100*c + 26. Let k(h) = 4*i(h) - 2*m(h). Solve k(b) = 0.
-1/5, 1, 13
Let f(v) = 5*v**2 - 48*v + 4. Let d(w) = 12*w**2 - 96*w + 9. Let j(p) = -4*d(p) + 9*f(p). Factor j(h).
-3*h*(h + 16)
Suppose -1604*y = -1619*y + 30. Factor -2/11*p + 0 - 2/11*p**y.
-2*p*(p + 1)/11
Let y = 6 + -1. Suppose 4 + y = 3*d. Find t such that -10*t**d - 12*t**3 - 3*t**3 - 2*t**4 + 23*t**3 = 0.
-1, 0
Let d(m) = -m**2 + 11*m + 26. Let h be d(13). Factor 14 + 8*x + 15 + h*x - 4*x**2 - 33.
-4*(x - 1)**2
Let h(t) = -12*t**3 - 24*t**2 - 6*t + 3. Let q(w) = -29 + 27*w**2 + 27 - 4*w**2 + 6*w + 13*w**3. Let o(f) = 2*h(f) + 3*q(f). Determine p so that o(p) = 0.
-1, -2/5, 0
Let j be (-273)/(-65) - 2/10. Suppose j + 10 - 4*m**2 + 2 = 0. What is m?
-2, 2
Factor 13/8*l**2 - 1/8*l**3 - 35/8*l - 49/8.
-(l - 7)**2*(l + 1)/8
Let q = -3108 - -15542/5. Solve -2/5 - 4/5*z - q*z**2 = 0.
-1
Factor 6/5*c**3 + 54/5 - 6/5*c - 54/5*c**2.
6*(c - 9)*(c - 1)*(c + 1)/5
Let u(i) be the third derivative of i**7/756 + i**6/540 + i**4/4 - 2*i**2. Let y(o) be the second derivative of u(o). Determine h, given that y(h) = 0.
-2/5, 0
Find h such that 17/5*h**3 + 6/5 + 34/5*h**2 + 5*h + 2/5*h**4 = 0.
-6, -1, -1/2
Let a be (401 + 1)*(2 - 1)*1. Let m = a - 3614/9. Suppose m*i**3 + 4/9 - 4/9*i**4 + 16/9*i**2 + 14/9*i - 2/9*i**5 = 0. Calculate i.
-1, 2
Let g(x) be the third derivative of 0 + 0*x**4 - 1/24*x**5 + 0*x**3 - x**2 + 0*x + 1/48*x**6. Factor g(m).
5*m**2*(m - 1)/2
Let f(h) be the first derivative of -h**5/10 + h**4/27 + h**3/3 - 2*h**2/9 + 17*h - 18. Let k(b) be the first derivative of f(b). Solve k(n) = 0.
-1, 2/9, 1
Let q(c) be the second derivative of c**8/2730 + 2*c**7/4095 + c**6/4680 - 5*c**4/12 + 9*c. Let s(z) be the third derivative of q(z). Factor s(x).
2*x*(4*x + 1)**2/13
Let u = -18114 - -18117. Suppose -4/7 + 2*l - 2*l**u + 4/7*l**2 = 0. Calculate l.
-1, 2/7, 1
Find o such that 10*o**3 - 4 + 4 - 353*o**4 + 2*o**3 + 374*o**4 = 0.
-4/7, 0
Let s(c) be the third derivative of -1/210*c**7 + 20*c**2 + 0 + 0*c + 1/9*c**3 - 1/24*c**4 + 7/360*c**6 - 1/60*c**5. Factor s(i).
-(i - 1)**3*(3*i + 2)/3
Suppose 0 = 2*x + 2*x - 8. Let y(j) be the first derivative of 0*j + 2/5*j**3 - 2 + 1/5*j**x + 3/10*j**4 + 2/25*j**5. Factor y(g).
2*g*(g + 1)**3/5
Suppose 123*b - 119*b = 0. Let f(u) be the second derivative of 0*u**4 + 1/70*u**5 + 3*u + 0*u**3 + b + 0*u**2. Factor f(i).
2*i**3/7
Factor f**3 + 6*f**2 - 5*f**4 - 11*f**2 + 2*f + 4*f**4 + 3*f**3.
-f*(f - 2)*(f - 1)**2
Let w be (-24)/(-4) - (-200)/48 - 9. Solve 0 - 11/6*u**3 + 1/3*u + 3/2*u**5 - 7/6*u**2 + w*u**4 = 0 for u.
-1, 0, 2/9, 1
Factor w**5 - 6*w**3 - 41*w**2 - 39*w**2 + 72*w**2 - 3*w.
w*(w - 3)*(w + 1)**3
Let j be 9/(-1) - (2 + 0). Let c = -9 - j. Factor -2*p + 2*p - p**c + p - 2*p**3 + 1 + p**3.
-(p - 1)*(p + 1)**2
Let h(c) be the second derivative of c**4/6 - 11*c**3/3 + 67*c. Find s such that h(s) = 0.
0, 11
Let -53 + 47*r - 125 + r**2 - 54 - 278*r = 0. What is r?
-1, 232
Let k(u) be the second derivative of -19/10*u**5 - 5/3*u**3 + 3*u**2 + 0 - 4/15*u**6 - 23/6*u**4 - 30*u. Determine d, given that k(d) = 0.
-3, -1, 1/4
Let l(t) be the third derivative of t**9/15120 - t**8/1008 + 2*t**7/315 - t**6/45 - 19*t**5/60 - 24*t**2. Let j(y) be the third derivative of l(y). Factor j(h).
4*(h - 2)**2*(h - 1)
Let t(d) be the second derivative of 16/27*d**3 + 7/135*d**6 + 19/90*d**5 + 25/54*d**4 + 1/189*d**7 + 4/9*d**2 + 0 + 19*d. Determine j so that t(j) = 0.
-2, -1
Determine l, given that 93*l**2 + 45/4*l**4 + 75*l - 573/4*l**3 - 36 = 0.
-2/3, 2/5, 1, 12
Let f be (3/9)/(2/12). Solve -5*s**5 - 20*s**4 - 9*s**3 + 20*s**3 + 20*s + 20*s**f - 26*s**3 = 0 for s.
-2, -1, 0, 1
Let y = -22 + 25. Suppose -5*p = y*g - 37, 5*p - 44 + 8 = -4*g. Factor 6*a - p - 18*a - 3*a**2 - 4*a**2 + 3*a**2.
-4*(a + 1)*(a + 2)
Let n(u) = 4*u**2 + 2*u + 29. Let c be n(-11). Let i = 5407/11 - c. Determine s so that -24/11*s**2 - 2/11 + 12/11*s - i*s**4 + 20/11*s**3 = 0.
1/3, 1
Suppose 0 = 14*h - 15*h + 9. Let j(f) = f**4 - f**3 - 21*f**2 + f + 11. Let n(t) = t**4 - t**3 - 11*t**2 + t + 6. Let r(q) = h*n(q) - 4*j(q). Factor r(k).
5*(k - 2)*(k - 1)*(k + 1)**2
Let l be (-2*(-47)/(-6))/(4/3). Let t = l + 239/20. Factor 2/5*u**2 - 2/5 + 0*u**4 + t*u**5 + 3/5*u - 4/5*u**3.
(u - 1)**3*(u + 1)*(u + 2)/5
Let t = 62 + -1859/30. Let w(m) be the third derivative of 0 - t*m**5 + 0*m**3 + 0*m - 1/120*m**6 + 2*m**2 - 1/24*m**4. What is r in w(r) = 0?
-1, 0
Suppose a + 2*a - 5*k - 88 = 0, -4*a + 64 = 4*k. Suppose 0 = -h + 4*h - a. Factor -13*b**3 - h*b**3 - 16*b**2 - 8*b**4 - 5*b + b.
-4*b*(b + 1)**2*(2*b + 1)
Suppose 0 = 81*m - 112*m + 62. Factor -m*k**2 - 5/4*k**3 - 1/4*k**4 - k + 0.
-k*(k + 1)*(k + 2)**2/4
Suppose -21*q = 64*q - 88 - 82. Let -1/2*a**5 + 3 + 21*a**q + 14*a**3 + 8/3*a**4 + 79/6*a = 0. What is a?
-1, -2/3, 9
Factor 0 - 8/3*n - 2/9*n**2.
-2*n*(n + 12)/9
Let k(g) be the second derivative of g**4/42 - 13*g**3/7 + 74*g**2/7 + 6*g + 9. Determine f, given that k(f) = 0.
2, 37
Let o(d) be the first derivative of -d**4/22 + 86. Factor o(u).
-2*u**3/11
Suppose -6*h = -6 - 6. Suppose 1 = -h*g + 1. Suppose -1/2*f**5 + f**3 + 0*f**2 + 0*f + 1/2*f**4 + g = 0. Calculate f.
-1, 0, 2
Let o = -155 - -157. Let -19*h - 18*h**3 - 12 - 3*h**4 - 10*h**2 - 17*h + 15*h**o - 44*h**2 = 0. What is h?
-2, -1
Let r be ((-1)/(3/2))/((-2)/234). Determine f, given that 4*f**2 - 2*f + r*f**3 - 42*f**3 - 38*f**3 = 0.
0, 1
Suppose -206*s - 34 = -223*s. Factor -4/11*t + 2/11*t**s + 0.
2*t*(t - 2)/11
Factor -6/5 + 3/5*m**5 + 24/5*m**3 - 11/5*m + 16/5*m**4 + 6/5*m**2.
(m + 1)**3*(m + 3)*(3*m - 2)/5
Let o(g) be the third derivative of 0 + 0*g**6 + 0*g + 10*g**2 + 0*g**3 - 1/70*g**7 + 1/20*g**5 + 0*g**4. Factor o(a).
-3*a**2*(a - 1)*(a + 1)
Let i(t) be the third derivative of t**5/60 - t**4/24 + t**3/6 - 12*t**2. Let h(f) = -f**3 + 6*f**2 - 3*f + 2. Let q(p) = -h(p) + 4*i(p). Factor q(a).
(a - 2)*(a - 1)*(a + 1)
Let b be (18 + (-282)/16)*(6/(-9) + 2). Let -2/3*x**2 + b + 11/6*x = 0. What is x?
-1/4, 3
Let r be (1/4*144/(-42))/((-33)/22). What is a in -r*a**2 + 16/7 + 2/7*a*