**5/600 + o**4/120 + 62*o**2. Solve a(q) = 0.
-2, -1/4, 0, 1
Let l = -26 - -4. Let p = 24 + l. What is i in p*i**3 - 2*i - 3*i**4 + 3*i**2 + 0*i + i**3 - i = 0?
-1, 0, 1
Solve 1/5*x**4 + 6/5 + 1/5*x**3 - 7/5*x**2 - 1/5*x = 0 for x.
-3, -1, 1, 2
Suppose 0 = -2*t - 0 - 2. Let f be t/(3/(-2) - -1). Let z**5 + z**f + 3*z**3 + z + 3*z**4 - z = 0. What is z?
-1, 0
Let i = -531 - -533. Determine r so that -2/5*r + 4/15*r**i - 2/5*r**4 + 2/15 + 2/15*r**5 + 4/15*r**3 = 0.
-1, 1
Find z, given that -6*z - 3*z**4 - 7*z**5 + 4*z**2 + 40*z**4 + 31*z**2 - 59*z**3 = 0.
0, 2/7, 1, 3
Let a(i) = 6*i**2 - 7*i + 3. Let m(o) = -o**3 - o**2. Let k(j) = a(j) + m(j). What is x in k(x) = 0?
1, 3
Suppose 0 = -0*i - 18*i + 54. Let d(m) be the first derivative of -1/7*m**4 + 9 + 0*m**i + 0*m**2 + 0*m + 2/35*m**5. Factor d(k).
2*k**3*(k - 2)/7
Factor 33*y - 278 - 4*y**2 + 334 - 53*y.
-4*(y - 2)*(y + 7)
Suppose -144*d = -141*d. Factor -4/5*w - 1/5*w**4 + 0 + d*w**2 + 3/5*w**3.
-w*(w - 2)**2*(w + 1)/5
Let v = 14 - 9. Let i(w) be the first derivative of -1 + 1/5*w**v + 0*w + 4/3*w**3 - w**4 + 0*w**2. Factor i(a).
a**2*(a - 2)**2
Let p(z) be the second derivative of z**5/120 - 3*z**4/8 + 17*z. Factor p(i).
i**2*(i - 27)/6
Solve 22*g**2 + 646*g + 322 + 2*g**3 + 149*g**2 - 26*g**2 + 181*g**2 = 0.
-161, -1
Let s(i) be the second derivative of 0 - 1/8*i**3 + 0*i**4 + 1/80*i**5 - 1/4*i**2 + 16*i. Factor s(p).
(p - 2)*(p + 1)**2/4
Let p be ((-7)/7)/(-2)*39/26. Let -p*g - 1/2 - 1/4*g**2 = 0. Calculate g.
-2, -1
Let w(f) = 2*f - f - 2*f - 721 + 722. Suppose 21 + 3 = 2*m. Let j(i) = 4*i**2 + 8*i - 8. Let t(b) = m*w(b) + 2*j(b). Factor t(c).
4*(c + 1)*(2*c - 1)
Let r(a) = -a**2 + 5*a + 8. Let u be r(6). Suppose -u*i - 15 = -7*i. Let 8*l**i + 2*l**3 - 2*l**2 - 8*l**4 + 5*l**3 - 5*l**3 = 0. Calculate l.
0, 1/4, 1
Suppose 0*f + 4*i = 5*f - 31, 2*f + 3*i + 6 = 0. Let j(p) be the third derivative of 3/40*p**6 + 1/4*p**5 + 1/8*p**4 + 0*p + 3*p**2 - 1/2*p**f + 0. Factor j(v).
3*(v + 1)**2*(3*v - 1)
Let q(d) = 4*d - 9. Let a be q(2). Let g be 26/8 - (a + 4). Factor 0*x - g*x**2 + 1/4*x**4 + 0*x**3 + 0.
x**2*(x - 1)*(x + 1)/4
Let o(q) be the third derivative of q**9/3024 - q**8/840 - q**7/840 + q**6/180 + 23*q**3/3 - 50*q**2. Let s(w) be the first derivative of o(w). Factor s(t).
t**2*(t - 2)*(t - 1)*(t + 1)
Find o, given that 115/3*o**2 - 20/3 - 11*o**3 - 88/3*o = 0.
-2/11, 5/3, 2
Let x(l) be the first derivative of l**6/180 - 13*l**5/30 + 169*l**4/12 + 7*l**3/3 - 23. Let q(z) be the third derivative of x(z). Find w, given that q(w) = 0.
13
Let q(n) be the third derivative of 0*n - 1/72*n**4 + 0 - 1/120*n**6 + 1/630*n**7 + 1/60*n**5 + 0*n**3 + 10*n**2. Factor q(p).
p*(p - 1)**3/3
Factor 7*h**2 + 6 + 5*h + 12*h**2 - 21*h**2 - 3.
-(h - 3)*(2*h + 1)
Suppose 4*m + 2*y + 7 - 17 = 0, -3*m + 4*y = 9. Let d be 1*(3 - (-1)/m). Factor 2*l**2 - d*l + 0*l - 13*l**3 + 11*l**3 + 8*l.
-2*l*(l - 2)*(l + 1)
Let r(o) be the third derivative of o**8/84 + 16*o**7/105 - 4*o**6/5 - 32*o**5/15 + 40*o**4/3 + 67*o**2. Find n such that r(n) = 0.
-10, -2, 0, 2
Let p = 100/171 + -9/19. Let s(u) be the first derivative of p*u**2 - 1/18*u**4 + 2 + 2/27*u**3 + 0*u - 2/45*u**5. Find c, given that s(c) = 0.
-1, 0, 1
Let n(t) be the first derivative of 4*t**3/3 + 36*t**2 + 128*t + 98. Determine d, given that n(d) = 0.
-16, -2
Let j(f) = 3*f**2 + 7*f - 18. Let b be j(2). Suppose 2*z = b*z - z. What is t in 0*t + z*t**2 + 0*t**4 + 1/8*t**5 - 1/8*t**3 + 0 = 0?
-1, 0, 1
Let l(x) be the first derivative of 3*x**5/5 + 201*x**4/4 + 1155*x**3 + 3267*x**2/2 + 310. Let l(q) = 0. What is q?
-33, -1, 0
Let w(y) be the first derivative of 0*y + y**5 + 5/2*y**2 - 5/3*y**3 + 47 - 5/4*y**4. Factor w(m).
5*m*(m - 1)**2*(m + 1)
Let t be 207/(-6)*(-8)/(-12). Let k = -15 - t. What is f in f - 2*f**2 + k - f + 0*f = 0?
-2, 2
Let u(p) be the first derivative of p**4/10 + 34*p**3/15 + 31*p**2/5 + 6*p - 6. What is c in u(c) = 0?
-15, -1
Let j(z) be the third derivative of z**7/105 - 7*z**6/60 + z**5/2 - 13*z**4/12 + 4*z**3/3 + 305*z**2. Solve j(n) = 0 for n.
1, 4
Let d(v) = 4*v**3 + 2*v - 1. Let j be d(1). Suppose 9 + j = 7*r. Factor 6/5*a**r + 2*a + 4/5.
2*(a + 1)*(3*a + 2)/5
Suppose 0 = -1136*f + 1125*f. Solve -3/4*b**4 + 0 + 0*b - 1/2*b**3 + f*b**2 + 5/4*b**5 = 0.
-2/5, 0, 1
Let b = 1/894 - -1487/2682. Find m such that 1/9*m**2 + 0*m + 0 - b*m**3 = 0.
0, 1/5
Let w be ((-1562)/66)/(38/(-36) + 1). Determine y, given that y - 4*y**3 + 15*y + 4*y**4 + w - 16*y**2 - 426 = 0.
-2, 0, 1, 2
Let x(y) be the second derivative of 3*y**5/80 + y**4/4 - 7*y**3/8 - 15*y**2/4 - 18*y - 1. Factor x(h).
3*(h - 2)*(h + 1)*(h + 5)/4
Let x = 25 + -19. Let q be 3/x - (-3)/2. Suppose 6 - 7*g**2 + 20*g + 35*g**2 + 12*g**3 - q = 0. What is g?
-1, -1/3
Suppose -3*l + 0*l = -30. Let f be (12/l)/((-6)/(-100)). Let 10*h**4 + 2*h**5 + 20*h**2 - 6*h + f*h**3 + 2 + 11*h + 5*h = 0. Calculate h.
-1
Suppose 23 = -2*u + 27. Find w, given that 6*w + 38*w**3 - 3*w + 9 - 9*w**u - 41*w**3 = 0.
-3, -1, 1
Let f(s) be the third derivative of -s**6/72 - s**5/24 + 5*s**4/4 + s**3 - 27*s**2. Let w(n) be the first derivative of f(n). Factor w(a).
-5*(a - 2)*(a + 3)
Determine q so that 12*q + 88 - 88 - 3*q**3 + 6*q**3 - 15*q**2 = 0.
0, 1, 4
Suppose -357*w + 361*w - 8 = 0. Let n be 4*(348/80 + -3). Factor 0 + 3/5*c**4 + 9/5*c**w - 3*c**3 + n*c.
3*c*(c - 3)**2*(c + 1)/5
Let s(r) be the second derivative of r**5/60 - r**4/18 + r**3/18 + r + 11. Factor s(f).
f*(f - 1)**2/3
Suppose 0 = -20*y + 14 + 106. Let m(a) be the third derivative of 3*a**2 + 0 - 1/12*a**4 + 0*a + 1/20*a**5 + 0*a**3 - 1/120*a**y. Suppose m(g) = 0. What is g?
0, 1, 2
Suppose z + 11 = -4. Let y(l) = -l**4 - 3*l**3 - 5*l**2 + 4*l - 5. Let p(s) = s**2 + 1. Let r(x) = z*p(x) - 3*y(x). Solve r(a) = 0 for a.
-2, 0, 1
Let c(t) be the third derivative of 17*t**2 + 1/15*t**5 + 0*t - 1/30*t**6 - 4/105*t**7 + 0*t**4 + 0*t**3 + 0. Factor c(i).
-4*i**2*(i + 1)*(2*i - 1)
Let w(m) be the second derivative of -2/15*m**6 + 0 + 1/21*m**7 + 0*m**3 + 0*m**2 + 1/3*m**4 + 3*m - 1/10*m**5. Determine f, given that w(f) = 0.
-1, 0, 1, 2
Let n(u) be the first derivative of -14*u**3/9 + 45*u**2 - 76*u/3 - 344. Factor n(o).
-2*(o - 19)*(7*o - 2)/3
Let t be ((-6)/18 - 20/(-6)) + -1. Suppose -2*x + 20 = 3*f, -t*x + 5*f = f + 8. Suppose 0 + k**3 - 4*k**x + 0*k + 1/2*k**2 = 0. Calculate k.
-1/4, 0, 1/2
Let m(t) be the second derivative of -6*t + 0*t**3 + 2/3*t**4 + 8/15*t**6 - 2/21*t**7 + 0 - t**5 + 0*t**2. Factor m(u).
-4*u**2*(u - 2)*(u - 1)**2
Suppose 0*h - 2/3*h**2 + 0 - 5/3*h**3 - 4/3*h**4 - 1/3*h**5 = 0. Calculate h.
-2, -1, 0
Factor 3*t**4 - 63*t**3 + 1870*t - 1870*t.
3*t**3*(t - 21)
Let a(q) be the first derivative of 12*q**2 + 1023*q - 1023*q - q**3 + 6. Factor a(k).
-3*k*(k - 8)
Let p(z) be the second derivative of 4/3*z**3 + 1/9*z**4 - 4*z + 7 + 10/3*z**2. Solve p(o) = 0.
-5, -1
Let c(g) = g**2 - 72*g - 3886. Let u be c(-36). Find h, given that 4/3*h**u + 0 + 4/3*h**3 + 0*h = 0.
-1, 0
Suppose -2*t - 23 + 63 = 0. Let b be -4 + 2/(-6) + t + -15. Factor b*a**2 - 4/3 + 2/3*a.
2*(a - 1)*(a + 2)/3
Let c(y) be the first derivative of -y**8/1680 - y**7/350 + 7*y**2 + 12. Let o(n) be the second derivative of c(n). Find k such that o(k) = 0.
-3, 0
Let j(b) be the first derivative of 31 + 12/11*b - 27/11*b**2 + 14/11*b**3. Factor j(l).
6*(l - 1)*(7*l - 2)/11
Let j be (-3)/(-5)*45*(-25)/(-225). Let -39/5*r**2 - 3/5*r**j - 21*r + 147/5 = 0. Calculate r.
-7, 1
Let -22707/7 + 519/7*o**2 + 22185/7*o + 3/7*o**3 = 0. What is o?
-87, 1
Let p(h) be the first derivative of h**3/3 - 65*h**2 + 4225*h + 170. Find l such that p(l) = 0.
65
Let a(y) be the second derivative of y**7/210 - y**6/45 - y**5/30 + y**4/3 - 7*y**3/6 + 2*y. Let s(w) be the second derivative of a(w). What is t in s(t) = 0?
-1, 1, 2
Let v(k) be the second derivative of k**5/20 + 2*k**4/3 - 2*k**3 - 72*k**2 + 232*k. Factor v(u).
(u - 4)*(u + 6)**2
Let w(i) be the first derivative of i**3/18 + i**2/12 - 76. Factor w(v).
v*(v + 1)/6
Let o(v) = -v**3 + 23*v**2 + 2*v - 32. Let z be o(23). Let s be z/(-4)*(-56)/49. Factor -3/4*l**3 + 0*l + 0 - 1/2*l**2 - 1/4*l**s.
-l**2*(l + 1)*(l + 2)/4
Let p(y) be the first derivative of 6*y**5/5 + 32*y**4/5 + 152*y**3/15 + 16*y**2/5 + 71. Let p(o) = 0. Calculate o.
-2, -