ose 0 = -3*v + 5*y + 26, 0*v + 3*y = -4*v - 4. Let w(d) be the first derivative of 3/5*d**2 + 0*d + 2/15*d**3 + v. Factor w(k).
2*k*(k + 3)/5
Let y = -14 - -18. Solve x**2 - 2 + 2*x - 1 + y + 0*x = 0.
-1
Let f be ((-2)/6)/(3/(-45)). Let r = f - 3. Let 2 - 2*o**r - 4*o + 4*o = 0. What is o?
-1, 1
Find s such that 2*s**2 - 340*s**3 + 23*s - 5*s**2 - 14 + s**4 + 333*s**3 = 0.
-2, 1, 7
Let t(u) = -u**2 + 5*u - 4. Let j be t(4). Suppose 7 - 9 = -a. Factor j - 1/2*h**3 + 1/2*h**4 - 1/2*h**a + 1/2*h.
h*(h - 1)**2*(h + 1)/2
Let v(l) = 5*l**3 + 2*l**2 + 2*l + 2. Let n(g) = g**2 - g**2 + 5 + 11*g**3 + 5*g + 5*g**2. Let k(y) = -2*n(y) + 5*v(y). Factor k(z).
3*z**3
Let p be (-1 + -1)/(-3 - -2). Determine d so that d**3 - 3*d**p + 9*d**2 + d - 8*d**2 = 0.
0, 1
Factor 5*i + 6*i**2 + 14*i - 8*i**3 + 2*i**4 - 8 - 11*i.
2*(i - 2)**2*(i - 1)*(i + 1)
Let j = 542 - 14627/27. Let a(p) be the first derivative of -2 - 5/18*p**4 - 2/9*p**2 + 2/3*p**3 + j*p**6 + 0*p - 2/5*p**5. Suppose a(k) = 0. What is k?
-1, 0, 2/7, 1
Let q(a) be the second derivative of a**4/36 - a**3/9 + a**2/6 + 8*a. Find h such that q(h) = 0.
1
Let m(c) be the second derivative of 0*c**5 - 3/2*c**2 + 0*c**3 + 2*c + 1/40*c**6 + 0*c**4 + 0. Let h(p) be the first derivative of m(p). Factor h(q).
3*q**3
Let r be (-4 - (-3 - -3))/(-1). Suppose r*a + 3*t - 12 = 0, 6*a - a - 20 = -5*t. Let -3 + v + 5*v + a*v - 3*v**2 = 0. Calculate v.
1
Factor 33/4*y + 15/4*y**3 - 39/4*y**2 - 9/4.
3*(y - 1)**2*(5*y - 3)/4
Let k(g) be the first derivative of 4*g**3/9 + 2*g**2/3 - 8*g/3 + 7. Factor k(s).
4*(s - 1)*(s + 2)/3
Suppose 0*c - 4*c = -12. Let d(i) = c + i**4 - 2 + 0*i**4 - i. Let k(t) = t**5 - t + 1. Let w(l) = -d(l) + k(l). Find u, given that w(u) = 0.
0, 1
Let p(f) be the second derivative of -4*f - 1/2*f**2 + 1/210*f**5 + 0 + 0*f**3 + 1/84*f**4. Let q(o) be the first derivative of p(o). Factor q(w).
2*w*(w + 1)/7
Let r(a) be the first derivative of -a**8/5880 + a**7/1470 - a**6/1260 - 4*a**3/3 + 2. Let k(t) be the third derivative of r(t). Factor k(u).
-2*u**2*(u - 1)**2/7
Let 1/5*o**3 + 64/5 + 48/5*o + 12/5*o**2 = 0. What is o?
-4
Factor -123*t**2 - 25*t**2 + 25*t - 32 + 63*t + 76*t + 16*t**3.
4*(t - 8)*(t - 1)*(4*t - 1)
Let a(z) be the third derivative of z**6/40 + 2*z**5/5 + 21*z**4/8 + 9*z**3 + 40*z**2. Factor a(j).
3*(j + 2)*(j + 3)**2
Suppose -5*h = 3*v + 54 + 12, -44 = 2*v - 4*h. Let w = v + 22. Factor 1/4*m**3 + 0*m + w*m**2 + 0 + 1/4*m**4.
m**3*(m + 1)/4
Suppose 3*o + 2*f - 8 = 0, 3*o - 7 = -f - 0*f. Let x be 2/10 - 6/(-70). Factor -2/7*u + x*u**o - 4/7.
2*(u - 2)*(u + 1)/7
Let r(j) be the third derivative of -j**10/30240 + j**9/15120 + j**8/6720 - j**7/2520 + j**4/8 + 5*j**2. Let k(g) be the second derivative of r(g). Factor k(t).
-t**2*(t - 1)**2*(t + 1)
Suppose 12 = 3*n + n - 3*g, 2*g = 3*n - 9. Let l(w) be the first derivative of -4/3*w + 2*w**2 + 2 + 7/9*w**n. Factor l(x).
(x + 2)*(7*x - 2)/3
Suppose -42 = -2*n - 36. Let g(a) be the first derivative of 2/5*a - 1/5*a**4 + 1 + 9/10*a**2 + 1/5*a**n. Suppose g(y) = 0. Calculate y.
-1, -1/4, 2
Let b = -6 + 31. What is m in -b*m**5 + 18*m**3 - 2*m**4 - 8*m**2 - 12*m**4 - 16*m**4 + 18*m**3 = 0?
-2, 0, 2/5
Let q be 1 + (-7)/10 + (-12)/(-60). Suppose 1/2*v**2 - q*v**4 + 0 - 1/2*v**5 + 0*v + 1/2*v**3 = 0. Calculate v.
-1, 0, 1
Let n(a) be the third derivative of 0 - a**2 + 1/3*a**3 - 1/30*a**5 + 0*a**4 + 0*a. Determine u, given that n(u) = 0.
-1, 1
Factor 2*y + 4/7 - 6/7*y**3 + 4/7*y**2.
-2*(y - 2)*(y + 1)*(3*y + 1)/7
Let p(x) be the third derivative of -x**6/40 + 5*x**2. Factor p(i).
-3*i**3
Let l be (-4)/6 + 8 + -6. Factor -l*g**4 + 0*g**2 + 1/3*g**5 + 0 + 0*g + 4/3*g**3.
g**3*(g - 2)**2/3
Factor -2/9*u**2 + 2/9*u + 0.
-2*u*(u - 1)/9
Factor 10 - 2*z**2 - 9*z**2 + 34*z + 61*z**2 + 11*z.
5*(2*z + 1)*(5*z + 2)
Let a(r) = -2*r + 29. Let y be a(13). Let h(z) be the first derivative of 1/8*z**2 - 1/12*z**y + 0*z - 3. Factor h(n).
-n*(n - 1)/4
Factor -2/5*b**3 - 2/5*b**2 + 1/5 + 1/5*b**5 + 1/5*b**4 + 1/5*b.
(b - 1)**2*(b + 1)**3/5
Let h(p) = -p - 4. Let d be h(-7). Suppose -5*y + 2 + 6*y**2 - 4*y**d + 3*y + 2*y**3 - 4*y = 0. Calculate y.
1
Let d(w) = 4*w**3 - w**2 + 6*w + 6. Let f(n) = 5*n**3 - n**2 + 7*n + 7. Let a(j) = 6*d(j) - 5*f(j). Factor a(q).
-(q - 1)*(q + 1)**2
Suppose -10 = -3*y + o, -y + 2 + 0 = o. Factor 2/11*c**y + 2/11*c**2 + 0*c + 0.
2*c**2*(c + 1)/11
Let z(m) be the second derivative of 0*m**5 + 0*m**3 - 1/10*m**6 - 4*m + 0 + 1/4*m**4 + 0*m**2. Factor z(s).
-3*s**2*(s - 1)*(s + 1)
Suppose -3*v = 4*v - 49. Let n(i) be the second derivative of 0 + 2/45*i**6 + 1/63*i**v + 0*i**5 - 1/9*i**4 - 1/9*i**3 + 0*i**2 + 2*i. Let n(y) = 0. What is y?
-1, 0, 1
Let r(x) be the third derivative of -x**8/896 - x**7/280 + x**6/160 + x**5/20 + 7*x**4/64 + x**3/8 - 13*x**2. Factor r(p).
-3*(p - 2)*(p + 1)**4/8
Let v(y) = 2*y**3 + 2*y**2 - 4*y + 4. Let u(r) = -4*r**3 - 5*r**2 + 9*r - 9. Let d = -21 + 12. Let s(i) = d*v(i) - 4*u(i). Factor s(w).
-2*w**2*(w - 1)
Let y(h) be the third derivative of 3/80*h**6 + 0*h + 1/224*h**8 + 0 - 6*h**2 + 3/140*h**7 + 0*h**3 + 1/40*h**5 + 0*h**4. Determine p so that y(p) = 0.
-1, 0
Let o be ((-24)/40)/(1/(-15)) - 3. Let j(w) be the third derivative of 0*w**3 + 0 + 0*w + 0*w**5 - 1/300*w**o + 0*w**4 + w**2. Suppose j(m) = 0. What is m?
0
Suppose h = 2*h + 2. Let k be 1 - 6/(-4 - h). Let -k*s**4 + 5*s**3 - 3*s**3 + 2*s**4 = 0. Calculate s.
0, 1
Let h(v) be the third derivative of v**5/360 + v**4/36 + v**3/12 - 2*v**2. Factor h(c).
(c + 1)*(c + 3)/6
Let z(m) be the third derivative of -4*m**2 + 0*m**3 + 0*m**4 + 0 - 1/1155*m**7 + 0*m - 1/330*m**5 + 1/330*m**6. Factor z(b).
-2*b**2*(b - 1)**2/11
Suppose 6/5*z**3 - 6/5*z**2 - 9/5*z - 3/5 + 9/5*z**4 + 3/5*z**5 = 0. What is z?
-1, 1
Let u(z) = -z**4 - z**3 - z**2 + z. Let g(p) = -3*p**5 + 7*p**4 - 11*p**3 + p**2 + 2*p. Let m(j) = g(j) - 2*u(j). Find o such that m(o) = 0.
0, 1
Let j be 1 + -2 + 1 + 15. Let -j*g - 12*g**3 + 17*g**2 - 6*g**3 + 3*g**4 + 19*g**2 - 9*g = 0. What is g?
0, 2
Factor 0*f + 0 + 1/3*f**4 + 2/3*f**2 - f**3.
f**2*(f - 2)*(f - 1)/3
Let u(s) be the first derivative of -2*s**6/9 - 3*s**5/5 - s**4/2 - s**3/9 - 3. Factor u(x).
-x**2*(x + 1)**2*(4*x + 1)/3
Let o(f) be the first derivative of f**6/30 + 3*f**5/25 + f**4/10 + 3. Let o(a) = 0. Calculate a.
-2, -1, 0
What is o in -6*o**2 - 3 + 3/2*o**3 + 15/2*o = 0?
1, 2
Let h(a) be the first derivative of -a**7/210 + a**6/30 - a**5/15 - a**2 + 3. Let d(t) be the second derivative of h(t). Factor d(i).
-i**2*(i - 2)**2
Let f(p) be the third derivative of -8/525*p**7 + 1/60*p**4 + 1/25*p**6 + 0*p + 3*p**2 + 0 + 0*p**3 + 1/20*p**5. Factor f(l).
-l*(l - 2)*(4*l + 1)**2/5
Let t(q) = q**3 - 10*q**2 + 14*q + 19. Let c be t(8). Find g, given that -100/3*g**4 + 13*g**2 + 20/3*g**c - 4/3*g - 4/3 = 0.
-2/5, 1/2
Let v(b) = b**2 - b. Let r be v(-2). Suppose -r = -5*d - l, 4*l + 11 = 3*d - 11. Find o, given that 16/5*o + 2*o**d + 2/5*o**3 + 8/5 = 0.
-2, -1
Let z = 1 + 5. Let t(h) be the third derivative of 1/108*h**4 + 1/180*h**z - 1/945*h**7 + 0 + 0*h + 0*h**3 + h**2 - 1/90*h**5. Factor t(c).
-2*c*(c - 1)**3/9
Let w = -62 - -62. Let -1/4*k**5 + 3/4*k**4 + w + 0*k - 3/4*k**3 + 1/4*k**2 = 0. What is k?
0, 1
Let z(w) = -w**4 + w**3 + w**2 - w - 1. Let x = -11 - -10. Let s(t) = -3*t**4 + 3*t**3 + 4*t**2 - 2*t - 2. Let o(l) = x*s(l) + 2*z(l). Solve o(i) = 0.
-1, 0, 2
Factor -6/13*y**4 + 8/13*y**2 + 2/13*y**5 + 0*y + 0 + 0*y**3.
2*y**2*(y - 2)**2*(y + 1)/13
Let s(r) be the third derivative of 0*r**3 - 6*r**2 + 1/48*r**4 + 0 + 0*r - 1/240*r**5. Factor s(v).
-v*(v - 2)/4
Let j(d) = d**2 + 8*d. Let a be j(-8). Factor 0 + 2*u**3 - 4/3*u**2 + a*u.
2*u**2*(3*u - 2)/3
Let n = 2735 - 68359/25. Let j = -6/25 + n. Factor -j*u**2 - 2/5*u + 0 - 22/5*u**4 + 8/5*u**5 + 18/5*u**3.
2*u*(u - 1)**3*(4*u + 1)/5
Let o be (1 + 56/42)*4/70. Let 4/15*l**2 - 4/5*l**3 + 2/15*l**4 - 2/5 + 2/3*l + o*l**5 = 0. What is l?
-3, -1, 1
Let q be (((-144)/(-30))/8)/(12/10). Let g(v) be the second derivative of 0 + 0*v**2 - q*v**4 + 3/20*v**5 - v + 1/2*v**3. Factor g(u).
3*u*(u - 1)**2
Let k(o) = o - 5. Let v be k(9). Determine a so that 9*a**2 + 0*a**5 + a**5 + 3*a**2 + 13*a**3 + 6*a**v + 4*a + 0*a = 0.
-2, -1, 0
Let b(p) be the first derivative of -p**5/10 + p**3/3 - p/2 - 5