5 + u**2 + 0*u + 2 - 2/3*u**3 - 1/2*u**4. Find m such that p(m) = 0.
-1, 0, 1
Let j(q) = 3*q**3 + 2*q**2 - 7*q - 6. Let s(d) = 3*d**3 + 3*d**2 - 6*d - 6. Let r(u) = 3*j(u) - 4*s(u). Factor r(v).
-3*(v - 1)*(v + 1)*(v + 2)
Let y = 12668/543 + 2/543. Factor -8/3 + y*v**2 + 8/3*v.
2*(5*v + 2)*(7*v - 2)/3
Let c = 16 + -14. Let v(u) be the second derivative of 0 - u + 0*u**3 - 1/24*u**4 + 1/4*u**c. Determine d, given that v(d) = 0.
-1, 1
Let m = -59 + 64. Let w(l) be the second derivative of 3*l - 1/9*l**4 - 1/60*l**m - 2/9*l**3 + 0*l**2 + 0. Factor w(z).
-z*(z + 2)**2/3
Let t(q) = 36*q**3 - 26*q**2 - 22*q. Let y(n) be the third derivative of -n**6/120 + n**5/60 + n**4/24 - 9*n**2. Let k(j) = 2*t(j) + 44*y(j). Factor k(v).
4*v**2*(7*v - 2)
Suppose -a + 5*s - 9*s = 0, 0 = -a + 5*s + 9. Determine v, given that -4/11 - 2/11*v**a - 18/11*v**2 - 10/11*v**3 - 14/11*v = 0.
-2, -1
Let n(o) be the third derivative of o**5/300 - o**4/60 - o**3/10 - 18*o**2. Factor n(c).
(c - 3)*(c + 1)/5
Let k(y) be the second derivative of y**6/40 + 3*y**5/40 - 3*y**4/16 + 4*y. Determine n, given that k(n) = 0.
-3, 0, 1
Let x(s) be the first derivative of 0*s**3 + 0*s**5 + 1/9*s**6 - 1/3*s**4 + 0*s - 1 + 1/3*s**2. Factor x(k).
2*k*(k - 1)**2*(k + 1)**2/3
Let b(i) = -4 + 6 - 2 + 1 - i**4 + 2*i**3. Let t(h) = h. Let v(r) = -b(r) + 2*t(r). Factor v(q).
(q - 1)**3*(q + 1)
Let h = 41 + -245/6. Let -1/6*t + 1/3 - h*t**2 = 0. What is t?
-2, 1
Let 18 + h**2 - 18 - 10*h + 4*h + 9 = 0. What is h?
3
Let a(o) be the third derivative of 242*o**7/105 + 22*o**6/15 + 4*o**5/15 + 15*o**2. Factor a(q).
4*q**2*(11*q + 2)**2
Let b(y) be the second derivative of 13*y**5/5 - 28*y**4/3 + 34*y**3/3 - 4*y**2 - 2*y. Find k such that b(k) = 0.
2/13, 1
Let b(w) be the first derivative of -3 - 1/4*w**2 - 1/4*w - 1/12*w**3. Factor b(u).
-(u + 1)**2/4
Let x(t) = 2*t**2 + 2*t - 2. Let h(u) = 2*u + 7. Let o be h(-5). Let r be x(o). Suppose -4*z + 22*z + z**2 + 2*z**2 + 17 + r = 0. Calculate z.
-3
Let t(h) be the third derivative of -h**5/80 + h**3/2 - 7*h**2. Factor t(o).
-3*(o - 2)*(o + 2)/4
Let m(l) be the first derivative of 5/4*l**2 - 4 - l - 2/3*l**3 + 1/8*l**4. Factor m(k).
(k - 2)*(k - 1)**2/2
Let i = -10 + 9. Let d be 0 + 33/27 + i. Factor -2/9*f + 2/3*f**2 + d*f**4 + 0 - 2/3*f**3.
2*f*(f - 1)**3/9
Suppose -8 - 32*j - 36 + 0*j**2 - 4*j**2 - 20 = 0. What is j?
-4
Suppose -9*m = -5*m + 5*m. Let y(r) be the second derivative of 1/12*r**4 + m*r**2 + 0*r**3 - 4*r + 0. Factor y(j).
j**2
Let t(z) be the first derivative of z**5/25 + 3*z**4/20 - z**3/15 - 3*z**2/10 - 8. Factor t(r).
r*(r - 1)*(r + 1)*(r + 3)/5
Suppose -2*y + 14 = 4*t - 26, -5*y = 0. Suppose 5*i - 15 = t. Determine o, given that 9/2*o**i + 1/2*o - 2*o**2 + 0 + 6*o**4 - o**3 = 0.
-1, 0, 1/3
Let b be (0 - 0)/(1 - 9/3). Solve 0*h + b*h**3 + 2/11*h**4 + 2/11 - 4/11*h**2 = 0.
-1, 1
What is z in -14/5*z**3 - 12/5*z + 46/5*z**2 + 0 = 0?
0, 2/7, 3
Let -6/13*c**4 + 0 + 0*c - 8/13*c**3 - 2/13*c**2 = 0. Calculate c.
-1, -1/3, 0
Let q(y) be the first derivative of -y**5/20 + 5*y**4/16 - 3*y**3/4 + 7*y**2/8 - y/2 + 1. Factor q(n).
-(n - 2)*(n - 1)**3/4
Let l = 1658/9 + -184. Let s be -2*(-8)/((-32)/(-6)). What is b in 0 + 2/9*b**2 + 4/9*b - l*b**s = 0?
-1, 0, 2
Let y(j) be the first derivative of -5*j**4/34 - 16*j**3/51 + 4*j**2/17 + 9. Factor y(o).
-2*o*(o + 2)*(5*o - 2)/17
Let k(a) be the third derivative of -a**7/3780 + a**6/810 - a**5/540 - a**3/2 - 3*a**2. Let s(q) be the first derivative of k(q). Suppose s(z) = 0. What is z?
0, 1
Find a such that -1 + 4/5*a + 1/5*a**2 = 0.
-5, 1
Solve 3/2*p**2 + 5/6*p**4 - 2*p**3 + 0 - 1/3*p = 0 for p.
0, 2/5, 1
Let x(j) = 0 + 3 + 0 + 14*j**2 - 5*j. Let p(n) be the first derivative of -5*n**3/3 + n**2 - n - 2. Let t(z) = -11*p(z) - 4*x(z). Factor t(b).
-(b + 1)**2
Let l(f) be the third derivative of -1/45*f**5 + 1/360*f**6 - 1/72*f**4 - 2*f**2 + 0 + 0*f + 0*f**3 + 2/315*f**7. Factor l(m).
m*(m - 1)*(m + 1)*(4*m + 1)/3
Let w be -10*(3 + (-22)/7). Factor -8/7 + w*u**3 - 6/7*u**2 - 24/7*u.
2*(u - 2)*(u + 1)*(5*u + 2)/7
Let u(z) = -z**3 - 4*z**2 - 2*z + 3. Suppose 18 = -o - 5*o. Let k be u(o). Factor k*d - 2/7*d**4 + 0 + 2/7*d**5 - 2/7*d**3 + 2/7*d**2.
2*d**2*(d - 1)**2*(d + 1)/7
Let a(o) = o + 2. Let h(d) = -102*d**2 - 82*d - 12. Let n(u) = 4*a(u) + 2*h(u). Factor n(v).
-4*(3*v + 2)*(17*v + 2)
Let p(h) = 3*h**3 - 8*h**2 - 4. Let r(k) = k**2 - 1. Let f(z) = -p(z) + 4*r(z). Factor f(d).
-3*d**2*(d - 4)
Let u(l) = 4*l**3 - 8*l**2 - 9*l + 9. Let k(q) = -q**3 + 2*q**2 + 2*q - 2. Let n = 0 + 2. Let s = -2 - n. Let h(i) = s*u(i) - 18*k(i). Factor h(y).
2*y**2*(y - 2)
Let t(k) be the third derivative of 7*k**6/1320 + k**5/22 + 29*k**4/264 + k**3/11 + 3*k**2. Factor t(g).
(g + 1)*(g + 3)*(7*g + 2)/11
Let q(g) be the second derivative of -g**6/5 + g**5/10 + g**4/2 - g**3/3 - g. Factor q(u).
-2*u*(u - 1)*(u + 1)*(3*u - 1)
Let m(b) be the second derivative of 3*b**4/4 + 7*b**3/2 + 3*b**2 + 11*b. Find x such that m(x) = 0.
-2, -1/3
Let b(c) be the first derivative of -2*c**5/75 + 2*c**3/15 + 2*c**2/15 - 24. Factor b(n).
-2*n*(n - 2)*(n + 1)**2/15
Factor 1/5*w**3 - 1/5*w**2 - 1/5*w + 1/5.
(w - 1)**2*(w + 1)/5
Suppose 0 = -6*c + 4*c. Determine y so that -y + 0*y**2 - y**2 + 0 + c = 0.
-1, 0
Let a(u) be the second derivative of -u**6/120 + u**5/10 - u**4/2 + 5*u**3/6 - 6*u. Let y(b) be the second derivative of a(b). Determine r, given that y(r) = 0.
2
Let z(f) be the first derivative of 5*f**4/18 + 2*f**3/27 - 5*f**2/9 - 2*f/9 + 63. Find v, given that z(v) = 0.
-1, -1/5, 1
Let n be (2 + (-10)/4)*-22. Factor r**2 + 9*r + n - 3*r - 2.
(r + 3)**2
Let d(c) be the third derivative of c**5/210 - c**4/28 + 2*c**3/21 + 34*c**2. Let d(x) = 0. What is x?
1, 2
Let b(x) be the first derivative of 2*x**3/9 + 10*x**2/3 + 6*x + 27. Factor b(h).
2*(h + 1)*(h + 9)/3
Suppose 5*f = 4*f. Let t be -1 - ((-15)/9)/1. Factor t*y**3 - 1/3*y + 0 + f*y**2 - 1/3*y**5 + 0*y**4.
-y*(y - 1)**2*(y + 1)**2/3
Let v = 13/490 + -5/294. Let x(g) be the second derivative of 1/14*g**4 + 3/70*g**5 + 0 + v*g**6 + 0*g**2 + 1/21*g**3 + g. Factor x(d).
2*d*(d + 1)**3/7
Let j be (-5)/(-35)*(1 - 5/12). Let w(v) be the second derivative of 0 - j*v**3 + 0*v**2 + 1/48*v**4 + 2*v. Suppose w(o) = 0. What is o?
0, 2
Let w(a) be the first derivative of 3 - 4/3*a**3 + 0*a + 2*a**2. Determine x so that w(x) = 0.
0, 1
Let q(t) be the first derivative of 6*t + 3 + 21/4*t**4 - 21/2*t**2 - 2*t**3. Determine f, given that q(f) = 0.
-1, 2/7, 1
Let t(q) be the first derivative of 2*q**3/33 + 3*q**2/11 + 4*q/11 + 1. Factor t(w).
2*(w + 1)*(w + 2)/11
Let w be ((-10)/(-30))/(3/18). Factor -1/3*r**w - r - 2/3.
-(r + 1)*(r + 2)/3
Let p(o) be the first derivative of -1/6*o**3 + 0*o - 1/4*o**2 + 2. Factor p(g).
-g*(g + 1)/2
Let j be (-26)/(-6) - (-2)/(-6). Let q(m) be the first derivative of -4/9*m**3 + 7/3*m**2 - 1/2*m**j - 1 - 4/3*m. Factor q(n).
-2*(n - 1)*(n + 2)*(3*n - 1)/3
Let i(f) = -1 + 12 + f + 0*f + 0. Let u be i(-8). Let 4 + u*c**2 - c**4 - 2 - 3 - c**2 = 0. Calculate c.
-1, 1
Factor -5*m**2 + 8*m - 11*m**2 - 2*m**4 + 10*m**3 + 0*m**4.
-2*m*(m - 2)**2*(m - 1)
Let r be (-8 - -8) + (0 - 0). Let i(o) be the second derivative of -1/48*o**4 + 2*o + r*o**2 + 1/80*o**5 + 0*o**3 + 0. Find p such that i(p) = 0.
0, 1
What is x in 1/2*x**2 - x + 0 = 0?
0, 2
Let u(k) be the second derivative of k**6/1800 - k**5/600 + 5*k**3/6 + 3*k. Let v(t) be the second derivative of u(t). Factor v(o).
o*(o - 1)/5
Suppose -3*h + 11 = -4. Let j(m) be the first derivative of -1/2*m**4 - 6/5*m**h + 0*m**2 - 1 + 0*m + 4/3*m**3. Solve j(l) = 0 for l.
-1, 0, 2/3
Let m = -5 - -9. Let t(j) be the second derivative of 1/70*j**5 + 0*j**3 + 1/21*j**m + 0 + 0*j**2 + j. Find v, given that t(v) = 0.
-2, 0
Let j(n) be the second derivative of -1/6*n**2 + 0 - 1/36*n**4 - 4*n - 1/9*n**3. Factor j(r).
-(r + 1)**2/3
Let i(h) be the first derivative of -h**6/1080 - h**5/180 - h**4/72 + h**3 - 3. Let t(y) be the third derivative of i(y). Factor t(u).
-(u + 1)**2/3
Let l = 79/234 + -3/26. Factor -10/9*h**4 - 14/9*h**2 - l*h**5 - 4/9*h - 2*h**3 + 0.
-2*h*(h + 1)**3*(h + 2)/9
Let p(f) be the second derivative of f**6/180 + f**5/60 + f**4/48 + f**3 + 7*f. Let v(x) be the second derivative of p(x). Factor v(m).
(2*m + 1)**2/2
Let g be (