that -2*y**3 + 0 - 2/5*y**5 + 24/5*y**2 + 0*y - 12/5*y**4 = 0.
-4, -3, 0, 1
Let p(t) = t**3 + 3*t**2 - 6*t - 6. Suppose 2*f = -3 - 5. Let q be p(f). Factor -q + 3*s**2 + 4*s**2 + 8*s + 8*s**2 - 5*s**2.
2*(s + 1)*(5*s - 1)
Suppose -8 = 1587*t - 1591*t. Suppose -14 = -4*l - 2. Determine v so that 7/2*v + 1/2 + 9/2*v**l + 15/2*v**t = 0.
-1, -1/3
Let o be 36*((-10)/(-15) + 0). Factor 2*z - 4*z**5 + 28*z**2 - 2*z**3 - o*z**2 - 2*z**4 + 6*z**5 - 2*z**3 - 2.
2*(z - 1)**3*(z + 1)**2
Let d(f) be the second derivative of -f**9/22680 + f**7/3780 + 3*f**4/2 + 14*f. Let l(b) be the third derivative of d(b). Solve l(u) = 0 for u.
-1, 0, 1
Suppose 22 = -9*g + 49. Let k(q) = 4*q**2 - 44*q + 2. Let f(r) = 4*r**2 - 44*r + 3. Let s(b) = g*k(b) - 2*f(b). Factor s(u).
4*u*(u - 11)
Let j(s) be the third derivative of -s**5/240 + 13*s**4/12 - 338*s**3/3 - 127*s**2. Suppose j(l) = 0. What is l?
52
Let x(a) be the first derivative of -10*a**5/19 - 27*a**4/38 + 196*a**3/57 + 108*a**2/19 + 16*a/19 - 115. Let x(h) = 0. What is h?
-2, -1, -2/25, 2
Let p(q) be the second derivative of 2*q**6/45 - 4*q**5/5 + 22*q**4/9 + 56*q**3/3 + 98*q**2/3 + 101*q. Factor p(i).
4*(i - 7)**2*(i + 1)**2/3
Let k(w) be the third derivative of w**5/120 + w**4/8 + 3*w**3/4 - w**2 - 11*w. Factor k(p).
(p + 3)**2/2
Let t(r) be the second derivative of -1/18*r**4 + 4/3*r**3 + 11*r - 12*r**2 + 0. What is h in t(h) = 0?
6
Let p(a) be the second derivative of a**8/3360 + a**7/630 - a**6/72 - a**5/10 - 3*a**4 - 18*a + 1. Let s(y) be the third derivative of p(y). Factor s(h).
2*(h - 2)*(h + 1)*(h + 3)
Let k(d) be the second derivative of -3*d**5/20 - 5*d**4/2 - 33*d**3/2 - 54*d**2 + d - 139. Find l such that k(l) = 0.
-4, -3
Let k = 2841 + -2834. Let u(r) be the second derivative of -1/14*r**k - 8*r - 3/5*r**6 - 21/10*r**5 - 4*r**4 - 3*r**2 - 9/2*r**3 + 0. Factor u(p).
-3*(p + 1)**4*(p + 2)
Let b(p) be the second derivative of 0*p**3 - 5/168*p**7 + 1/16*p**5 - 1/120*p**6 + 1/48*p**4 + 0*p**2 - 28 - p. Find d such that b(d) = 0.
-1, -1/5, 0, 1
Let k be -29 + 28 - (3 - 6). Solve 32/7*z**4 - 32/7*z**k + 0 + 64/7*z**5 - 4/7*z - 60/7*z**3 = 0.
-1, -1/4, 0, 1
Let l(n) be the third derivative of 0 - 22*n**2 + 1/15*n**4 + 0*n - 1/75*n**5 + 0*n**3 - 1/150*n**6. Determine h, given that l(h) = 0.
-2, 0, 1
Let c(a) be the first derivative of -3*a**4/16 + a**3 - 15*a**2/8 + 3*a/2 + 408. Factor c(i).
-3*(i - 2)*(i - 1)**2/4
Let x(r) = r + 8. Let k be x(20). Let s = -83/3 + k. Find y such that -4/3 + s*y**2 + 0*y = 0.
-2, 2
Factor -3 + 102*r + 6 + 12*r**2 - 114*r.
3*(2*r - 1)**2
Let 585*y**3 + 53*y**4 - 338*y**4 - 201*y**2 - 94*y**2 - 5*y**5 = 0. Calculate y.
-59, 0, 1
Let x(o) be the first derivative of -o**4/30 - 74*o**3/45 - 323*o**2/15 + 722*o/15 + 197. Determine h, given that x(h) = 0.
-19, 1
Factor -40*p**3 + 35 + 110*p**2 - 320/3*p + 5/3*p**4.
5*(p - 21)*(p - 1)**3/3
Let p(y) be the first derivative of -2*y**3/3 - 7*y**2/2 + 2*y - 1. Let s = -12 + 16. Let j(r) = r**2 + 4*r - 1. Let z(u) = s*p(u) + 7*j(u). Factor z(a).
-(a - 1)*(a + 1)
Let l = 14 - 10. Suppose t - l*p - 1 = 1, p = 0. Factor k**2 - 4*k**2 + 7 - 10 + t*k - 8*k.
-3*(k + 1)**2
Let p(l) be the first derivative of -l**6/16 + 21*l**5/20 - 33*l**4/8 + 5*l**3 - 56. Suppose p(i) = 0. What is i?
0, 2, 10
Let c be ((-2)/(-3))/(4/18). Suppose 4*z - 8 = -0*z. Factor 2*p**2 + p**4 - 3*p**2 + 2*p**c - z*p**4.
-p**2*(p - 1)**2
Let q(g) be the second derivative of -1/12*g**5 - 1/3*g**4 - 1/3*g**2 + 0 - 1/2*g**3 + g. What is n in q(n) = 0?
-1, -2/5
Let b(t) be the third derivative of t**7/840 - t**6/60 - 43*t**5/240 - 29*t**4/48 - t**3 - 148*t**2. Factor b(v).
(v - 12)*(v + 1)**2*(v + 2)/4
Let q(r) be the second derivative of r**4/24 - 91*r**3/12 - 23*r**2 - 243*r. Suppose q(i) = 0. What is i?
-1, 92
Let o(x) = -3*x + 8. Let c(t) = -4*t + 7. Let f(m) = 2*c(m) - 3*o(m). Let d be f(12). Factor -1/4*v**d - 1/4*v + 1/4*v**3 + 1/4.
(v - 1)**2*(v + 1)/4
Let g(z) be the third derivative of -z**7/420 - 11*z**6/720 + z**5/90 - 8*z**2 - 2. Let g(n) = 0. What is n?
-4, 0, 1/3
Let p(b) = -b + 12. Let v be p(7). Determine m, given that -6 + 13*m**3 - 11*m + 8*m**2 - 9*m + 14 + 3*m**3 - 16*m**4 + 4*m**v = 0.
-1, 1, 2
Let b(q) be the first derivative of q**6/30 - 2*q**5/25 - 3*q**4/20 + 8*q**3/15 - 2*q**2/5 + 123. Factor b(u).
u*(u - 2)*(u - 1)**2*(u + 2)/5
Let r(x) be the second derivative of x**4/21 + 26*x**3/7 - 4*x. Suppose r(k) = 0. Calculate k.
-39, 0
Let h be (-114 - -114)*(-1)/(-2). Suppose -4/9*d**3 + h*d + 2/9*d**2 + 0 + 2/9*d**4 = 0. Calculate d.
0, 1
Let f be (-9*(-6)/(-9))/(1 + -2). Let h(y) = 6*y**3 + y**2. Let d(z) = -7*z**3 - z**2. Let n(k) = f*h(k) + 5*d(k). Solve n(a) = 0.
-1, 0
What is w in -5/3*w**4 - 10*w**2 - 40/3*w**3 - 125/3 + 200/3*w = 0?
-5, 1
Let y(f) = f**3 + 8*f**2 + 8*f + 9. Let b be y(-7). Suppose -b - 10 = -4*t. Solve 0*h**5 + 3*h**3 - h**2 + h**5 + t*h**4 - 6*h**4 = 0 for h.
0, 1
Let z(t) be the third derivative of 338*t**7/105 + 26*t**6/15 - 11*t**5 - 26*t**4/3 - 8*t**3/3 + 83*t**2. Solve z(p) = 0.
-1, -2/13, 1
Factor -2809/2*b - 53/2*b**2 - 148877/6 - 1/6*b**3.
-(b + 53)**3/6
Let q(w) = 4*w - 2. Let o be q(1). Find i, given that 2*i**4 + 3*i**o + 2*i - 9*i**2 + 2*i = 0.
-2, 0, 1
Let d(x) be the second derivative of -x**4/15 - 102*x**3/5 + 308*x**2/5 + 600*x. Let d(c) = 0. Calculate c.
-154, 1
Let j be (-382)/(-10) + (-1)/5. Suppose 9 = i - j. Factor 3*x**3 - i*x + 47*x + x**2 + 2*x**4.
x**2*(x + 1)*(2*x + 1)
Let 0*j + 4/7*j**2 + 0 + 2/7*j**3 = 0. Calculate j.
-2, 0
Let y be (40/12)/(8/84). Factor -4 + 76*l - y*l + l**3 + 6 - 36*l + 4*l**2.
(l + 1)**2*(l + 2)
Let c(w) = -w**2 + 5*w - 2. Let r = -7 - -11. Let y be c(r). Factor 2*j**2 + 10*j + 4 - 2*j**y + 8*j**2 + 5*j**3 - 3*j**3.
2*(j + 1)**2*(j + 2)
Let x(s) be the first derivative of s**7/3360 + 7*s**6/1440 + s**5/80 - 6*s**3 - 16. Let v(y) be the third derivative of x(y). Find u such that v(u) = 0.
-6, -1, 0
Let w = 154 - 160. Let d be -1*(-4)/8*w/(-9). Solve d - 4/3*y**4 + 1/3*y - 3*y**2 + 11/3*y**3 = 0 for y.
-1/4, 1
Solve 72*m + 3240 + 2/5*m**2 = 0 for m.
-90
Let v(x) be the second derivative of 0*x**2 + 0 - 1/36*x**4 + 6*x + 0*x**3. Factor v(j).
-j**2/3
Let o be (87 - 85) + (0 - 0) + 1. Let a(p) be the first derivative of -9/2*p**2 - 3/4*p**4 - 3*p**3 - o*p + 5. Determine i so that a(i) = 0.
-1
Let x be 3 + (-2)/((-14)/(-37)) - -4. Let h(u) = u**3 + 2*u**2 - 2*u + 3. Let n be h(0). Factor -12/7*f**n - 3/7*f**4 - 18/7*f**2 - 3/7 - x*f.
-3*(f + 1)**4/7
Let 0*q - q**2 + 3/4*q**3 + 0 + 1/4*q**4 = 0. What is q?
-4, 0, 1
Let j be (-610)/(-70) - 4/(-14). Suppose 0 = -8*o + j*o. Factor -1/6*g**2 + 1/3*g**3 + o*g + 0.
g**2*(2*g - 1)/6
Suppose 5*h = 4*h + 10. Suppose -h*f = -9*f. Find i, given that 2/5*i**2 + 1/5*i**5 + f - 1/5*i + 0*i**3 - 2/5*i**4 = 0.
-1, 0, 1
Let t(u) be the third derivative of 20*u**2 + 1/12*u**5 - 1/120*u**6 + 0*u**4 + 0 + 0*u + 0*u**3. Factor t(v).
-v**2*(v - 5)
Let g(x) be the second derivative of 5/8*x**4 + 3/40*x**5 + 33*x + x**3 + 0 + 0*x**2. Factor g(l).
3*l*(l + 1)*(l + 4)/2
Let h(v) be the first derivative of -1/60*v**5 + 1/160*v**6 + 0*v + 0*v**3 - 1/24*v**4 + 9/2*v**2 + 3. Let w(i) be the second derivative of h(i). Factor w(k).
k*(k - 2)*(3*k + 2)/4
Suppose 0 = -2*m - 4 + 18. Suppose 4*b - m = -5*n + 3, 0 = -n - 3*b + 2. Let 0*i**n - i + 4*i - 4*i**2 + 5*i = 0. What is i?
0, 2
Suppose 2*v = 3*v - 5. Let -2*i**3 + 33 + 10*i**2 - 33 + v*i + 7*i**3 = 0. What is i?
-1, 0
Let r(a) be the first derivative of -4/5*a**5 - 4*a**2 + 0*a + 4*a**3 + 0*a**4 - 24. Factor r(b).
-4*b*(b - 1)**2*(b + 2)
Solve 87/5*u**2 + 0 + 21/5*u**3 + 12/5*u = 0.
-4, -1/7, 0
Let o(w) be the second derivative of 1/16*w**4 - 3/8*w**2 + 1/24*w**3 + 41*w + 0 - 1/80*w**5. Suppose o(m) = 0. What is m?
-1, 1, 3
Let o be -7 + 7 + 9/378. Let r(j) be the second derivative of 0*j**4 + 0*j**2 + 0 - 8*j - o*j**3 - 1/294*j**7 + 0*j**6 + 1/70*j**5. What is c in r(c) = 0?
-1, 0, 1
Let k(g) = -g**3 + 13*g**2 - g + 13. Let l be (2/(-4) + 0)/((-3)/78). Let o be k(l). Factor 1/5*i**5 + 0*i + i**3 - 2/5*i**2 + o - 4/5*i**4.
i**2*(i - 2)*(i - 1)**2/5
Suppose 0*s - s - 2*z = -10, 0 = -3*z - 9. Suppose 4*o = m - 14, m + m - s = 4*o. Suppose 3/2*j**m - j + 1/4*j**4 - j**3 + 1/4 = 0. What is j?
1
Let c(d) be the firs