 + 2. Find d such that v(d) = 0.
-4, -1, 1
Suppose 5*g - 9 = -4. Let f(y) = -y**3 + y**2. Let b be f(g). Factor 1/3*w + b + 4/3*w**4 + 8/3*w**3 + 5/3*w**2.
w*(w + 1)*(2*w + 1)**2/3
Let i(s) be the first derivative of -1/12*s**4 + 1/9*s**3 - 5 + 0*s**2 + 0*s. Find v, given that i(v) = 0.
0, 1
Let s be ((-1)/(-3))/(2/88). Let d be 10/7 + (-12)/(-21). Suppose 8/3 - 7*f**3 - s*f + 62/3*f**d = 0. Calculate f.
2/7, 2/3, 2
Let l(p) be the second derivative of p**7/1680 + p**6/180 + p**5/48 + p**4/24 - p**3/3 - 2*p. Let h(w) be the second derivative of l(w). Factor h(j).
(j + 1)**2*(j + 2)/2
Let h(m) = -2*m**3 - 6*m**2 + 3. Let w be h(-4). Let t = -103/3 + w. Find g such that t*g**2 - 2/3 + 0*g = 0.
-1, 1
Let w be 2/(-1) - (-98)/42. Factor w*y**2 + 0 - 1/3*y.
y*(y - 1)/3
Let r(j) be the first derivative of 4*j**6/3 + 2*j**5 + j**4/2 + 3. Find v such that r(v) = 0.
-1, -1/4, 0
Let y(g) be the first derivative of -2*g**4 + 4/5*g**5 - 3 + 0*g**3 + 0*g**2 + 0*g. Solve y(f) = 0.
0, 2
Let w(h) be the third derivative of h**6/280 + h**5/35 + h**4/56 - 3*h**3/7 + 2*h**2 - 4. Factor w(r).
3*(r - 1)*(r + 2)*(r + 3)/7
Let r(l) be the first derivative of l**5/210 - l**4/42 - l**2/2 - 3. Let y(a) be the second derivative of r(a). Let y(h) = 0. What is h?
0, 2
Let x(l) = -4*l**5 - 3*l**4 - 4*l**3 + 6*l**2 + 2*l. Let m(i) = -17*i**5 - 12*i**4 - 17*i**3 + 25*i**2 + 8*i. Let c(f) = 6*m(f) - 26*x(f). Factor c(b).
2*b*(b - 1)*(b + 1)**2*(b + 2)
Let c(o) be the second derivative of 0*o**2 - 1/10*o**5 + 0 - 1/3*o**4 - 1/3*o**3 - 3*o. Factor c(x).
-2*x*(x + 1)**2
Let u be (-7)/((-21)/(-12)) + -59. Let s be ((-24)/u)/((-8)/(-12)). Factor s + 2/7*j**3 + 8/7*j**2 + 10/7*j.
2*(j + 1)**2*(j + 2)/7
Let a(w) be the third derivative of 2*w**7/105 + w**6/15 + 7*w**2. Factor a(u).
4*u**3*(u + 2)
Let j be 0 + 3 - (2 - -1). Let s(t) be the second derivative of -1/33*t**4 - 7/165*t**6 + j*t**2 + 0*t**3 - 9/110*t**5 - 2*t + 0. Factor s(b).
-2*b**2*(b + 1)*(7*b + 2)/11
Suppose 4*d = -3*d + 14. Determine q so that 12*q**d + 19/4*q - 26*q**4 + 12*q**5 + 1/2 - 13/4*q**3 = 0.
-1/3, -1/4, 1, 2
Let n be (32/20)/((-9)/10). Let j = n + 20/9. Factor 2/9*k**2 - 2/3 - j*k.
2*(k - 3)*(k + 1)/9
Let v = -18 - -26. Let b be 10/v + 4/(-4). Factor -3/4*l**2 + 0 - 1/4*l**4 + 3/4*l**3 + b*l.
-l*(l - 1)**3/4
Suppose -5*r + 3 = 2*y - 5, -16 = -4*y + 5*r. Suppose 3*d**2 + 11*d**y + 13*d**4 + 3*d - 3*d**3 - 27*d**4 = 0. Calculate d.
-1, 0, 1
Suppose -f = -3*d + 8*d - 15, -f = 0. Factor 38 + 2*i - 2*i**d - 38.
-2*i*(i - 1)*(i + 1)
Let b(y) = -y + 16. Let l be b(14). Factor 0*j**2 + 8 + 4*j + 3*j**2 - l - 5*j**2.
-2*(j - 3)*(j + 1)
Let q = -9/5 - -91/45. Factor -8/9*s**2 - q + 10/9*s.
-2*(s - 1)*(4*s - 1)/9
Suppose -5*t = -t. Determine y so that 5 - 2*y**2 + t*y**2 - 2*y - 5 = 0.
-1, 0
Suppose -4*z - 4*f + 12 = 0, 4*z - 5*f = -0*f + 21. Let j(u) be the first derivative of -3/20*u**5 + 0*u + 3/16*u**z + 1/4*u**3 - 3/8*u**2 - 1. Solve j(p) = 0.
-1, 0, 1
Let q(b) be the first derivative of -b**6/42 + b**5/7 - 5*b**4/14 + 10*b**3/21 - 5*b**2/14 + b/7 + 12. Factor q(t).
-(t - 1)**5/7
Let t(k) be the second derivative of -k**6/135 + k**5/18 + k**4/54 - 5*k**3/27 - 8*k - 5. Factor t(p).
-2*p*(p - 5)*(p - 1)*(p + 1)/9
Let w(g) be the first derivative of 4*g**5/25 + 4*g**4/5 + 8*g**3/5 + 8*g**2/5 + 4*g/5 - 34. Factor w(d).
4*(d + 1)**4/5
Let d(h) be the first derivative of h**4/66 - 2*h**3/11 + 9*h**2/11 + 6*h + 1. Let r(g) be the first derivative of d(g). Factor r(q).
2*(q - 3)**2/11
Suppose 0 = -w - 58 + 61. Factor -4/3*j + 0 - 10/3*j**w - 14/3*j**2.
-2*j*(j + 1)*(5*j + 2)/3
Factor 8/7 + 2/7*n**2 - 10/7*n.
2*(n - 4)*(n - 1)/7
Suppose 1/2*g**3 - 1/2*g + g**2 - 1 = 0. Calculate g.
-2, -1, 1
Let b(s) be the first derivative of -4*s**5/5 + 4*s**3/3 - 5. Factor b(p).
-4*p**2*(p - 1)*(p + 1)
Let g(o) = 20*o**5 + 70*o**4 + 65*o**3 - 20*o**2. Let j(h) = -h**4 + h**3. Let r(b) = -g(b) + 5*j(b). Determine w so that r(w) = 0.
-2, 0, 1/4
Let u(c) = 13*c**3 + 11*c**2 - 17*c - 7. Let k = -25 - -14. Let g(s) = 8*s**2 + 4 + 9*s - 14*s**2 + 2*s**3 - 9*s**3. Let w(q) = k*g(q) - 6*u(q). Factor w(n).
-(n - 1)**2*(n + 2)
Let h = -65 - -67. Let j(s) be the first derivative of h*s**2 - 2/3*s**3 + 0*s + 1. Suppose j(n) = 0. Calculate n.
0, 2
Factor 1/4*z**4 + 2*z + 1/4*z**5 - 5/4*z**3 - 1 - 1/4*z**2.
(z - 1)**3*(z + 2)**2/4
Let x(l) be the third derivative of -l**5/270 + l**4/108 + 11*l**2. Factor x(s).
-2*s*(s - 1)/9
Let v(z) be the third derivative of -z**6/120 + 11*z**5/60 - 5*z**4/3 + 8*z**3 + 26*z**2. Find h, given that v(h) = 0.
3, 4
Let z = -35 - -247/7. Factor -2/7*t - 4/7 + z*t**2.
2*(t - 2)*(t + 1)/7
Let t(m) be the third derivative of -3*m**6/140 - m**5/14 + 8*m**4/21 - 4*m**3/7 + 2*m**2. Factor t(j).
-2*(j + 3)*(3*j - 2)**2/7
Factor -22*q - 12*q**4 - 79*q**3 - 80*q**2 + 6*q - 13*q**3 - 16*q**4.
-4*q*(q + 1)*(q + 2)*(7*q + 2)
Suppose -7*n - 24 = -3*n - 4*j, -3*j = 5*n - 2. Let w be ((-7)/n)/7*4. Solve i**3 - 2*i**4 - 10*i - w*i**5 + 3*i**3 + 10*i = 0 for i.
-2, 0, 1
Suppose 8 = b + 2*t, 4*b + 3*t - 52 = 5*t. Suppose 2 = -b*d + 13*d. Factor -3/4*i**3 - 1/4*i + 0 - i**d.
-i*(i + 1)*(3*i + 1)/4
Let b(c) be the third derivative of -c**5/60 - c**4/3 - 7*c**3/6 + 3*c**2. Factor b(z).
-(z + 1)*(z + 7)
Let z(l) = -2*l**4 + 2*l**3 + 2*l**2 - 6*l. Let v(u) = u. Let f = 0 - -4. Let b = f - 3. Let w(p) = b*z(p) + 4*v(p). Factor w(c).
-2*c*(c - 1)**2*(c + 1)
Let r = -37 - 34. Let y = -495/7 - r. Suppose -2/7*k**3 + 2/7*k + y - 2/7*k**2 = 0. What is k?
-1, 1
Let g be (14/12)/((-35)/(-15)). Factor -g*o**2 - 3/2*o - 1.
-(o + 1)*(o + 2)/2
Let g = 2083/7 - 297. Let z be -6*1*2/(-4). Determine l, given that -2/7*l - 4/7*l**2 + 2/7*l**4 - 2/7*l**5 + 2/7 + g*l**z = 0.
-1, 1
Let l(d) be the third derivative of -d**6/30 + d**5/15 + d**4/3 - 6*d**2. Factor l(n).
-4*n*(n - 2)*(n + 1)
Let g = 2/293 + 3749/8790. Let u(j) be the second derivative of 0 + 2*j + g*j**6 + 7/12*j**4 + 2/21*j**7 + 3/4*j**5 + 1/6*j**3 + 0*j**2. Factor u(x).
x*(x + 1)**3*(4*x + 1)
Suppose 4*h - h = 6. Factor -2*q**3 + 0*q**3 - h + 2 + 2*q.
-2*q*(q - 1)*(q + 1)
Let v(i) be the second derivative of i**4/21 + 2*i**3/7 + 4*i**2/7 - 5*i. Factor v(u).
4*(u + 1)*(u + 2)/7
Suppose -1/3*k**3 + 1/3*k**5 + 4/3 - 7/3*k**2 + k**4 + 0*k = 0. What is k?
-2, -1, 1
Let b = 787 + -784. Find p such that -4/7*p**2 + 4/7*p + 0 + 1/7*p**b = 0.
0, 2
Let d(t) be the second derivative of 0*t**2 + 2/35*t**5 + 2/21*t**3 - 3*t - 5/42*t**4 - 1/105*t**6 + 0. Factor d(w).
-2*w*(w - 2)*(w - 1)**2/7
Suppose 2*i = -2*m - 0*i + 44, 4*i = m - 27. Suppose j + m = 2*j - 5*d, -11 = -j + 2*d. What is w in -2/7*w**j + 16/7 + 12/7*w**2 - 24/7*w = 0?
2
Let h(t) be the third derivative of -t**6/15 + 2*t**5/5 - 3*t**4/4 + 2*t**2. Find f, given that h(f) = 0.
0, 3/2
Let s(b) be the first derivative of -b**6 + 2*b**5 - b**4 + 9. Determine x, given that s(x) = 0.
0, 2/3, 1
Let j(f) be the first derivative of -f**4/4 - f**3/2 - 4*f - 4. Let z(s) be the first derivative of j(s). Determine u, given that z(u) = 0.
-1, 0
Suppose -5*x + 12 - 4 + 17*x - 4*x**3 = 0. Calculate x.
-1, 2
Let l(s) = -3*s**3 + s**2 - s + 1. Let h(c) = 13*c**3 - c**2 - 1 + c**2 - 3*c**2 + 3*c - 3. Let r(a) = 4*h(a) + 18*l(a). Factor r(z).
-2*(z - 1)**3
Let s(f) be the third derivative of 7*f**8/144 + 17*f**7/90 + 67*f**6/360 - 23*f**5/180 - 2*f**4/9 + 2*f**3/9 - 12*f**2. Factor s(c).
(c + 1)**3*(7*c - 2)**2/3
Let n(k) be the second derivative of k**4/24 - k**3/4 + k**2/2 - 5*k. Factor n(t).
(t - 2)*(t - 1)/2
Let c be (-3)/(-12) + (-5)/2 + 3. What is n in -c + 3/4*n**2 + 0*n = 0?
-1, 1
Let t = 287 + -2006/7. Factor 0*y - t*y**3 + 0*y**2 + 0 + 3/7*y**4.
3*y**3*(y - 1)/7
Suppose 0 = -4*t + 16 + 4. Factor 3*i**2 + 3*i**2 - 3*i**2 - t*i**2 + 4 - 2*i.
-2*(i - 1)*(i + 2)
Let z(x) be the first derivative of -6*x**5/5 - 27*x**4/4 - 7*x**3 + 9*x**2 + 1. Determine r so that z(r) = 0.
-3, -2, 0, 1/2
Suppose -17*m = -12*m - 15. Let h(y) be the second derivative of -y + 1/21*y**m + 0 - 1/70*y**5 + 1/42*y**4 - 1/7*y**2. Find x, given that h(x) = 0.
-1, 1
Solve 3/5*m - 4/5*m**3 + 0*m**4 + 1/5*m**5 + 2/5*m**2 - 2/5 = 0 for m.
-2, -1, 1
Let x be (-15)/(-6) - (-4)/(-8). Factor -p**x + p - 7*p**2 - p**3 + 8*p**2.
-p*(p - 1)*(p + 1)
Factor -13/2*a**3 - 1/2 - 3/4*a**5 - 11/4*a 