ond derivative of i**2 + 1/10*i**5 + 0 - 1/3*i**3 - 1/6*i**4 - 3*i. Factor g(j).
2*(j - 1)**2*(j + 1)
Let o(v) = -25*v + 104. Let t be o(4). What is d in 1 + 5/2*d**t - 17/2*d**3 - 11/2*d + 21/2*d**2 = 0?
2/5, 1
Let n(b) = b**2 + 8*b - 5. Let m be n(-9). Solve 0*w**4 - w**4 + m*w**4 = 0 for w.
0
Let c = -51 + 18. Let p be c/(-4) - 15/(-20). Factor 2*r**2 - r**3 - 5*r - 5*r**3 + p*r.
-2*r*(r - 1)*(3*r + 2)
Let s(w) be the first derivative of -w**4/4 + 2*w**3 - 6*w**2 - 5*w + 1. Let c(h) be the first derivative of s(h). Factor c(r).
-3*(r - 2)**2
Let a(f) be the third derivative of -f**5/240 - f**4/48 - f**3/24 + 6*f**2. Let a(z) = 0. Calculate z.
-1
Factor 1/3*s**2 + 0 - 1/6*s**3 - 1/6*s.
-s*(s - 1)**2/6
Let k = -10 + 4. Let f be 10/(-36) + (-3)/k. Factor -2/9*l**2 + f*l + 0.
-2*l*(l - 1)/9
Let d(v) be the second derivative of 1/4*v**4 - 3*v + 0*v**5 + 2/3*v**3 + 3/2*v**2 - 1/60*v**6 + 0. Let l(h) be the first derivative of d(h). Factor l(q).
-2*(q - 2)*(q + 1)**2
Suppose -7*b**3 + 7 + 4*b + b**4 + 18*b**2 - 10*b + 1 - 14*b = 0. Calculate b.
1, 2
Let i(t) be the second derivative of -t**10/22680 + t**9/4536 - t**8/2520 + t**7/3780 + t**4/12 + 2*t. Let o(c) be the third derivative of i(c). Factor o(m).
-2*m**2*(m - 1)**2*(2*m - 1)/3
Let r(j) be the second derivative of -21*j**5/100 - 3*j**4/20 + 2*j**3/5 - 5*j + 7. Factor r(f).
-3*f*(f + 1)*(7*f - 4)/5
Factor -33/5*x**2 + 9/5*x**3 - 12/5 + 36/5*x.
3*(x - 2)*(x - 1)*(3*x - 2)/5
Suppose 2*s + 2*s - 8 = 0. Factor 27*z**3 - 15*z**4 - 21*z**2 + s*z + 0*z + 3*z**5 + 7*z - 3*z.
3*z*(z - 2)*(z - 1)**3
Suppose 7*f = 5*f. Let v(s) be the third derivative of f - 4*s**2 + 1/240*s**5 + 1/12*s**3 + 0*s + 1/32*s**4. Factor v(q).
(q + 1)*(q + 2)/4
Let b = 4 + -2. Let l be (-34)/(-52) - 2/13. Factor -w - l + 1/2*w**b + w**3.
(w - 1)*(w + 1)*(2*w + 1)/2
Let m(f) be the third derivative of -1/540*f**6 - 6*f**2 + 2/945*f**7 + 0*f**3 + 0 + 0*f + 1/504*f**8 + 0*f**5 + 0*f**4. Find c such that m(c) = 0.
-1, 0, 1/3
Let t = -61359239/261995 + 2/52399. Let y = 235 + t. Factor y + 2/5*i**2 - 6/5*i.
2*(i - 2)*(i - 1)/5
Let d(r) be the first derivative of 0*r**3 + 1/45*r**5 - r**2 + 1 - 1/180*r**6 - 1/36*r**4 + 0*r. Let z(s) be the second derivative of d(s). Factor z(j).
-2*j*(j - 1)**2/3
Let r be (-8 - -3) + (6 - -1). Let -1/4*z + 0 - 3/2*z**3 - z**4 - 1/4*z**5 - z**r = 0. What is z?
-1, 0
Suppose 0 - 14/5*w**2 + 2*w**3 + 4/5*w = 0. What is w?
0, 2/5, 1
Let t(g) be the third derivative of -g**7/840 + g**5/240 + 3*g**2. Factor t(h).
-h**2*(h - 1)*(h + 1)/4
Let 0 - 1/6*v**4 + 0*v + 1/6*v**3 + 1/3*v**2 = 0. What is v?
-1, 0, 2
Let o be (4 - 6)/((-1)/3). Let s(z) be the second derivative of 1/90*z**o + 1/9*z**3 + 0 - 1/30*z**5 - z - 1/6*z**2 + 0*z**4. Factor s(g).
(g - 1)**3*(g + 1)/3
Let w = 11 - 6. Suppose l - w*u + 18 = -0*l, 5*u = -2*l + 24. Factor -4/3*h**l - 2/3*h**3 - 2/3*h + 0.
-2*h*(h + 1)**2/3
Let i(a) = 14*a**2 - 23*a + 4. Let j(v) = -7*v**2 + 11*v - 2. Let n(m) = -2*i(m) - 5*j(m). Let n(l) = 0. Calculate l.
2/7, 1
Determine r, given that 8/7*r**2 - 2/7*r**4 + 8/7*r - 2/7*r**3 + 0 = 0.
-2, -1, 0, 2
Solve -2/13*h**2 + 2/13*h**4 + 0*h - 2/13*h**5 + 2/13*h**3 + 0 = 0 for h.
-1, 0, 1
Let x(l) = -l**3. Let u(m) be the second derivative of m**5/2 - 3*m**4/2 + 2*m**3 - m**2 - 3*m. Let b(q) = u(q) + 2*x(q). Suppose b(o) = 0. What is o?
1/4, 1
Let z be (-74*(-2)/(-24))/(-1). Let r = z - 167/30. Let 7/5*d**2 + d + 1/5 + r*d**3 = 0. Calculate d.
-1, -1/3
Let a(u) = 30*u**4 - 43*u**3 + 10*u**2 + 10*u + 7. Let n(q) = 15*q**4 - 21*q**3 + 5*q**2 + 5*q + 4. Let p(h) = -4*a(h) + 7*n(h). Find k, given that p(k) = 0.
-1/3, 0, 1
Let t(b) = -b**4 - 3*b**3 - 7*b**2 - b + 4. Let h(z) = 9*z**4 + 24*z**3 + 57*z**2 + 9*z - 33. Let m(k) = -4*h(k) - 33*t(k). What is o in m(o) = 0?
-1, 0, 1
Let m(z) be the second derivative of 0*z**2 + 1/15*z**3 + 0 + 1/30*z**4 - 2*z. Factor m(h).
2*h*(h + 1)/5
Let l(f) be the third derivative of 4*f**7/315 - f**6/20 + f**5/15 - f**4/36 - 7*f**2. Let l(q) = 0. Calculate q.
0, 1/4, 1
Factor 2/19*j**4 + 2/19 - 4/19*j**2 + 2/19*j**5 - 4/19*j**3 + 2/19*j.
2*(j - 1)**2*(j + 1)**3/19
Let s(g) = g**2 - 11*g + 11. Let p be s(8). Let w = 13 + p. Find o, given that -2/7*o**4 + 0*o + w + 2/7*o**2 + 0*o**3 = 0.
-1, 0, 1
Suppose 14*x - 6 = 13*x. Solve 2*f**4 + 10*f - 4 - 19*f**2 - 4*f + 21*f**2 - x*f**3 = 0 for f.
-1, 1, 2
Let w(m) = -m + 22. Let q be w(18). Let z(k) be the second derivative of 0*k**2 + 0*k**3 - 1/54*k**q + 0 + k. Find i, given that z(i) = 0.
0
What is y in -8 - y**3 - 4*y**5 + 2*y**3 + 4 + 7*y**2 + 3*y**5 - 3*y**4 = 0?
-2, -1, 1
Let t(u) be the second derivative of 1/2*u**2 - 1/16*u**4 + 0 - 1/80*u**5 - 2*u + 0*u**3. Factor t(a).
-(a - 1)*(a + 2)**2/4
Let j(o) be the third derivative of o**5/30 + o**4/6 - 62*o**2. Factor j(c).
2*c*(c + 2)
Let t = 1600 - 1597. Factor 3/2*p**2 - 2 + 2*p - 1/2*p**4 - p**t.
-(p - 1)**2*(p + 2)**2/2
Let t(f) be the second derivative of 7*f + 1/4*f**2 + 0 + 1/12*f**4 - 5/24*f**3 - 1/80*f**5. Factor t(s).
-(s - 2)*(s - 1)**2/4
Let h(k) be the second derivative of k**4/27 - 2*k**3/27 - 4*k**2/9 - 7*k. Factor h(a).
4*(a - 2)*(a + 1)/9
Let u be (-29)/203 - (-178)/70. What is b in 9/5*b**3 - u*b + 3/5*b**4 + 0 + 0*b**2 = 0?
-2, 0, 1
Let o = -743/4 - -186. Factor -o*b + 1/4*b**2 - 1/2.
(b - 2)*(b + 1)/4
Suppose -2*q = s - 11, 5 = -s + q + 1. Solve 49/4*v**3 + s + 77/4*v**2 + 8*v = 0 for v.
-1, -2/7
Let f(v) = v**3 + 5*v**2 + 3*v - 2. Let h be f(-4). Factor 2*i**5 + 3*i**3 + 2*i**5 - 5*i**5 + 0*i**5 - 2*i**h.
-i**2*(i - 1)**2*(i + 2)
Let i be -5*((-6)/15)/1. Factor 4*r**4 - r - r**3 + 5*r**i - 8*r**3 + r**2.
r*(r - 1)**2*(4*r - 1)
Suppose -21*b = -28*b + 28. Factor 2/7*c**b + 2/7*c - 2/7*c**2 - 2/7*c**3 + 0.
2*c*(c - 1)**2*(c + 1)/7
Let h be (3/10)/(9/15). Let c(m) be the second derivative of 0 - 7/5*m**5 - m - 2*m**2 + 3*m**3 - h*m**4. Factor c(w).
-2*(w + 1)*(2*w - 1)*(7*w - 2)
What is k in -108 - 4/3*k**2 - 24*k = 0?
-9
Factor 218*r - 218*r + 10*r**4 - 5*r**3 - 5*r**2.
5*r**2*(r - 1)*(2*r + 1)
Let a(m) be the first derivative of 4*m**5/5 - 4*m**4 + 7*m**3 - 11*m**2/2 + 2*m + 50. Determine l so that a(l) = 0.
1/2, 1, 2
Let k(u) be the second derivative of -5*u**7/126 - u**6/45 - 13*u. Factor k(h).
-h**4*(5*h + 2)/3
Let p(o) = 2*o**2 - 11*o - 3. Let l be p(6). Let b(w) be the second derivative of 0 + 1/5*w**2 - 2/15*w**l + 1/30*w**4 - 2*w. Suppose b(x) = 0. Calculate x.
1
Suppose 0 = 3*i + 4*p - 21, -i + 5*p + 0*p = 12. Find l, given that -6 - i*l + l**3 - 7*l**2 + 13*l**2 + l**3 + l**3 = 0.
-2, -1, 1
Let i be -4*(-2)/12*-51. Let l be i/(-21)*9/3. What is j in -32/7*j**3 - l*j - 80/7*j**2 - 4/7 = 0?
-2, -1/4
Suppose -10 = -f - 5. What is n in 0*n**4 - 1/3*n**f + 0*n + 0*n**3 + 0*n**2 + 0 = 0?
0
Let t(r) = 7*r**3 + 5*r**2 - 12*r + 3. Let w(x) = x**3 - x**2 + 1. Let b(g) = t(g) - 3*w(g). Factor b(i).
4*i*(i - 1)*(i + 3)
Suppose 0 = 14*w - 9*w - 20. Factor 2/3*n**5 - 4/3*n**2 + 2/3 - 4/3*n**3 + 2/3*n + 2/3*n**w.
2*(n - 1)**2*(n + 1)**3/3
Factor -4/9*q**4 - 2/9*q + 0 + 0*q**3 + 4/9*q**2 + 2/9*q**5.
2*q*(q - 1)**3*(q + 1)/9
What is j in 100*j**5 - 67*j**4 + 576*j + 9*j**4 - 62*j**4 + 128 - 544*j**3 + 448*j**2 = 0?
-2, -2/5, 2
Suppose 4*l - 50 = -l. Let y(n) = -n**2. Let q(m) = -4*m**2 + 2*m. Let f(s) = l*y(s) - 2*q(s). Factor f(k).
-2*k*(k + 2)
Let v(l) be the first derivative of 2/15*l**3 + 0*l - 3/5*l**2 + 8. Factor v(b).
2*b*(b - 3)/5
Let b(k) be the third derivative of -k**7/1260 + k**6/180 - k**5/60 - 5*k**4/24 - 6*k**2. Let v(i) be the second derivative of b(i). What is m in v(m) = 0?
1
Let o = 3 - 6. Let j(q) = -3*q**3 - 7*q - 7. Let k(c) = c**3 + 3*c + 3. Let z(a) = -2*a**2 + 1. Let y be z(2). Let p(v) = o*j(v) + y*k(v). Factor p(x).
2*x**3
Let s(p) be the first derivative of -6 + 1/2*p**2 - 4/9*p**3 + 1/3*p. Let s(q) = 0. What is q?
-1/4, 1
Let l = 279/7 + -1081/28. Factor 0 + 3/4*g**4 + 1/2*g**2 + 0*g - l*g**3.
g**2*(g - 1)*(3*g - 2)/4
Let q(u) be the first derivative of u**2 + 0*u - 2/15*u**5 + 1/12*u**4 + 0*u**3 - 2. Let n(j) be the second derivative of q(j). Factor n(s).
-2*s*(4*s - 1)
Let b(s) be the third derivative of s**5/30 + s**4/6 - 6*s**2. Factor b(l).
2*l*(l + 2)
Let h(c) = c**3 + 8*c**2 + 8*c + 9. Let z be h(-7). Find t such that -t**5 + 3*t**4 - t**5 + t**4 - z