t y(u) = 0.
-1/2, 0, 1
Let t(d) be the second derivative of -4/5*d**5 - d**4 + 0*d**3 + 0 - 2/15*d**6 - 8*d + 0*d**2. Find w, given that t(w) = 0.
-3, -1, 0
Let h(c) be the first derivative of 4/9*c**3 + 2/3*c + c**2 - 2/5*c**5 - 1/3*c**4 - 1/9*c**6 + 1. Find t such that h(t) = 0.
-1, 1
Suppose -i + 8 = -5*i. Let a be ((4 + -4)/i)/(-3). Factor 3/5*y**4 + 1/5*y**3 - 3/5*y**2 + a - 1/5*y.
y*(y - 1)*(y + 1)*(3*y + 1)/5
Let h(n) be the third derivative of -n**5/120 + n**4/16 - 12*n**2. Factor h(g).
-g*(g - 3)/2
Let l(n) = -4*n**5 - 10*n**4 + 7*n**3 + 7. Let y(p) = -p**5 - 3*p**4 + 2*p**3 + 2. Let j(t) = -6*l(t) + 21*y(t). Find f such that j(f) = 0.
0, 1
Suppose 4/11 - 2/11*c**5 + 4/11*c**2 + 10/11*c - 8/11*c**3 - 8/11*c**4 = 0. Calculate c.
-2, -1, 1
Let f = -2/435 + 176/435. Factor -2/5*t + 2/5 + 2/5*t**3 - f*t**2.
2*(t - 1)**2*(t + 1)/5
Factor 0 - 3/2*s - 27/4*s**3 - 3/4*s**5 - 21/4*s**2 - 15/4*s**4.
-3*s*(s + 1)**3*(s + 2)/4
Let b(i) be the first derivative of i**7/21 - i**6/15 - i**5/10 + i**4/6 - 3*i + 2. Let x(s) be the first derivative of b(s). Solve x(m) = 0 for m.
-1, 0, 1
Factor 16/7 + 114/7*p**2 + 22/7*p**3 + 108/7*p.
2*(p + 1)*(p + 4)*(11*p + 2)/7
Let a(o) be the second derivative of 4*o**2 + 0 - 4/3*o**3 + 1/6*o**4 - 3*o. Factor a(g).
2*(g - 2)**2
Suppose 0 = 2*j - 4*j + 6. Determine d, given that -d**4 + 0*d**j + 3*d**3 - 5*d**3 = 0.
-2, 0
Let n(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 1/168*v**7 - 6*v + 1/120*v**6 + 1/80*v**5 - 1/48*v**4. Factor n(d).
-d**2*(d - 1)**2*(d + 1)/4
Factor -12/5*f**3 - 2/5*f**5 + 0 - 8/5*f**4 - 8/5*f**2 - 2/5*f.
-2*f*(f + 1)**4/5
Let l(i) be the second derivative of 2*i**7/21 + 2*i**6/15 - i**5/5 - i**4/3 - 2*i. Determine o so that l(o) = 0.
-1, 0, 1
Let j(y) be the second derivative of y**4/6 + 2*y**3/3 - 2*y. Factor j(k).
2*k*(k + 2)
Factor -13*t**3 - 7*t**3 - 91*t**5 + 10*t**2 + 96*t**5 + 15*t - 10.
5*(t - 1)**3*(t + 1)*(t + 2)
Suppose 28 - 1 = 5*r + l, -4*r = 4*l - 28. Let o be (-2)/r - (-132)/30. Determine u so that -u**o + u**2 + 0*u**4 + 0*u**2 = 0.
-1, 0, 1
Suppose z + 9 = 4*z. Solve -2*j**4 - 3*j + 4*j**3 - 2*j**3 + z*j = 0 for j.
0, 1
Let w be (2 - -1)*(2 - 1). Let -4*v**2 + v**2 - 6 + w - 6*v = 0. What is v?
-1
Let z(b) be the second derivative of 2/9*b**3 - 7*b + 0*b**2 + 0 + 1/30*b**5 - 1/6*b**4. Let z(d) = 0. Calculate d.
0, 1, 2
Let z = -63 + 63. Factor -2/5*b**4 + 0 + 0*b + 0*b**3 + z*b**2.
-2*b**4/5
Suppose -6*n + 2*n = 5*w - 2, 0 = n + 5*w + 7. Let r(c) be the second derivative of 2*c + 0 + 1/6*c**4 - 1/10*c**5 - 1/15*c**6 + 0*c**2 + 1/3*c**n. Factor r(s).
-2*s*(s - 1)*(s + 1)**2
Let c(w) be the first derivative of 4*w**3/21 - 8*w**2/7 + 12*w/7 - 11. Factor c(r).
4*(r - 3)*(r - 1)/7
Let p = -5 + 10. Factor -a**p - a**5 + 2*a**3 + a**5 - a.
-a*(a - 1)**2*(a + 1)**2
Determine h so that -200/3 - 40/3*h - 2/3*h**2 = 0.
-10
Let d(m) be the second derivative of -m**4/12 - m**3/2 - 2*m. Let d(s) = 0. Calculate s.
-3, 0
Let b be -1*5/(-5)*(-1 - -4). Factor 3/5*i**b - 3/5*i**5 + 0*i**2 + 0*i**4 + 0*i + 0.
-3*i**3*(i - 1)*(i + 1)/5
Let f(j) = 162*j**4 - 360*j**3 + 204*j**2 - 8*j - 34. Let s(b) = b**3 + 1. Let a(w) = -2*f(w) - 36*s(w). Solve a(v) = 0.
-2/9, 2/3, 1
Let q = 2 + 6. Factor -2 + q*m**2 - 8*m**2 - 2*m**4 - 4*m + 4 + 4*m**3.
-2*(m - 1)**3*(m + 1)
Suppose 0 = -2*i + 3*i. Determine c, given that -c**4 + i*c**2 + 0*c**2 - c**3 + c**2 - 3*c + 4*c = 0.
-1, 0, 1
Let x(g) = 7*g**2 + g + 7. Let r(d) = 3*d**2 + 3. Let m(f) = 5*r(f) - 2*x(f). Determine y, given that m(y) = 0.
1
Let m be (-130)/26*4/(-6). Factor 2/3*v**3 + m*v + 8/3*v**2 + 4/3.
2*(v + 1)**2*(v + 2)/3
Let u(i) be the first derivative of -i**3 + 3*i**2 - 3*i - 13. Find y, given that u(y) = 0.
1
Let n(f) be the third derivative of -f**7/42 + f**6/4 - f**5 + 25*f**4/12 - 5*f**3/2 - 22*f**2. Factor n(g).
-5*(g - 3)*(g - 1)**3
Let q(z) be the first derivative of z**3 + 12*z**2 - 27*z - 28. Solve q(m) = 0.
-9, 1
Find r such that 0 + 9/2*r**3 + 0*r - 9/2*r**4 + 3/2*r**5 - 3/2*r**2 = 0.
0, 1
Let a = 139 - 1249/9. What is k in 2/9*k**2 - 2/9 + a*k**3 - 2/9*k = 0?
-1, 1
Let k be (-4)/(-20) + 7/15. What is i in -k - 2/3*i**4 - 8/3*i - 8/3*i**3 - 4*i**2 = 0?
-1
Let c(k) be the first derivative of k**6/21 - k**5/70 - 8*k + 4. Let o(w) be the first derivative of c(w). Determine m so that o(m) = 0.
0, 1/5
Let v(s) be the second derivative of -4*s + 0 - 1/3*s**3 - 2/5*s**2 - 1/50*s**5 - 2/15*s**4. Determine d, given that v(d) = 0.
-2, -1
Factor 4/7*q**3 + 0*q + 0 - 32/7*q**2.
4*q**2*(q - 8)/7
Suppose 2*y = 10, -3*w - 5*y + 0*y = -31. Let d(z) be the first derivative of -1/6*z**3 - 1/2*z - 2 + 1/2*z**w. Solve d(x) = 0.
1
Let a(w) be the first derivative of -2*w**6/15 + 13*w**5/25 - 3*w**4/20 - 16*w**3/15 + 2*w**2/5 + 8. Solve a(n) = 0.
-1, 0, 1/4, 2
Suppose 5*j = a + 21, -a = -j - 5*a. Let r(g) be the first derivative of 0*g - j - 2/3*g**4 - 1/3*g**2 + 10/9*g**3. Let r(u) = 0. Calculate u.
0, 1/4, 1
Let f(b) be the third derivative of -b**6/120 - b**5/20 - b**4/8 - b**3/2 + 4*b**2. Let a(o) be the first derivative of f(o). Determine h so that a(h) = 0.
-1
Let a = 26 - 22. Let b(v) = -10*v**2 + 17*v - 1. Let q(s) = -10*s**2 + 18*s. Let u(x) = a*b(x) - 3*q(x). Factor u(z).
-2*(z - 1)*(5*z - 2)
Find a such that -3*a + 2*a**4 + 3*a + 7*a**2 - 7*a**3 - 4*a + 2*a = 0.
0, 1/2, 1, 2
Let r(g) be the second derivative of 16*g**7/147 + 8*g**6/15 + 73*g**5/70 + 43*g**4/42 + 11*g**3/21 + g**2/7 + 4*g. Solve r(c) = 0 for c.
-1, -1/4
Let w(n) be the first derivative of -n**6/168 + 2*n**5/105 - n**4/168 - n**3/21 - n**2/2 + 3. Let j(g) be the second derivative of w(g). Solve j(r) = 0 for r.
-2/5, 1
Let n(k) = -5*k**3 + k**2 + 4*k + 3. Let z be n(-1). Find h such that -1/2*h**2 - 3/4*h + h**3 - 1/4*h**z + 1/2 + 0*h**4 = 0.
-2, -1, 1
Let a be 0*(3 + 0)/6*2. Let 1/3*q**4 + 1/6*q**3 - 1/3*q**2 + a*q + 0 - 1/6*q**5 = 0. Calculate q.
-1, 0, 1, 2
Let i(l) = 3*l**4 - 5*l**3 + l**2 - 1. Let a(t) = t**2 - 7*t**4 + 7*t**4 - t**3 - 2 + 1 + t**4. Let q = -2 + 3. Let h(n) = q*a(n) - i(n). What is k in h(k) = 0?
0, 2
Factor -5*a**3 + 18 - 20 - 4*a**2 - a**4 - 7*a - 5*a**2.
-(a + 1)**3*(a + 2)
Factor 2/3*m**2 + 0 + 1/3*m + 1/3*m**3.
m*(m + 1)**2/3
Let s(f) = 2*f**2 + 49*f - 22. Let q be s(-25). Solve 4/5*r**2 - 2/5*r**4 - 2/5*r**q + 0 + 0*r = 0 for r.
-2, 0, 1
Suppose 4*w + 9 + 3 = 0, 0 = r + w + 1. Solve 11 - v**r - 16*v**4 - 11 + 8*v**3 = 0.
0, 1/4
Suppose 53 - 18 = -5*y. Let w = 10 + y. Suppose 4*q**3 - q**3 + 3*q**2 - 5*q**2 - 4*q**w = 0. What is q?
-2, 0
Let h(g) = 4*g**2 - 7*g + 1. Let i(f) = 17*f**2 - 29*f + 3. Let p(r) = -26*h(r) + 6*i(r). Find a, given that p(a) = 0.
2
Let v(y) be the third derivative of y**6/210 - 3*y**5/70 + 5*y**4/42 - y**3/7 + 7*y**2. Find l such that v(l) = 0.
1/2, 1, 3
Let i(u) = u**3 - 6*u**2 + 5*u. Let z be i(5). Suppose 0*a + z - 7/2*a**3 - a**2 = 0. Calculate a.
-2/7, 0
Let c(t) = -t**5 - 4*t**3 - 2*t**2 + t. Let m = -3 - -1. Let y(u) = 4*u - 9*u**2 + 16 - 16 - 5*u**5 - 17*u**3. Let g(l) = m*y(l) + 9*c(l). Factor g(s).
s*(s - 1)**2*(s + 1)**2
Determine l so that -2/7 - 4/7*l - 2/7*l**2 = 0.
-1
Let x(i) = -4*i**3 - 2*i**2 + 16*i - 4. Let l(t) = 3*t**3 + 3*t**2 - 15*t + 4. Let w(d) = 6*l(d) + 5*x(d). Factor w(n).
-2*(n - 2)*(n - 1)**2
Suppose -4*k = -14 + 6. Factor 12*v**k + 3 - 9*v - 1 - 5 + 0.
3*(v - 1)*(4*v + 1)
Let y = -1672 + 5336/3. Factor y*o**2 + 2/3 + 1280/3*o**3 + 2560/3*o**4 + 40/3*o + 2048/3*o**5.
2*(4*o + 1)**5/3
Factor 3/4*t - 9/4*t**2 + 3/2 + 3/4*t**4 - 3/4*t**3.
3*(t - 2)*(t - 1)*(t + 1)**2/4
Factor 0 - 1/7*c**3 + 4/7*c + 0*c**2.
-c*(c - 2)*(c + 2)/7
Factor 24*s + 10*s - 4*s - 94*s**3 - 51*s**2 + 103*s**3.
3*s*(s - 5)*(3*s - 2)
Let k(w) = w**3 + 6*w**2 + w - 5. Let z be k(-5). Let f = -13 + z. Let 3/5*l + 1/5*l**f + 2/5 = 0. Calculate l.
-2, -1
Factor 0 + 4/7*d**4 + 0*d**3 + 2/7*d - 2/7*d**5 - 4/7*d**2.
-2*d*(d - 1)**3*(d + 1)/7
Factor 0*f + 0*f**3 + 0 + 2/15*f**4 - 2/15*f**2.
2*f**2*(f - 1)*(f + 1)/15
Let n(b) be the second derivative of b**7/140 - b**6/180 - b**3/3 - 2*b. Let c(q) be the second derivative of n(q). Let c(s) = 0. What is s?
0, 1/3
Suppose 5*p + 6 + 9 = 5*w, 2*p = -w + 6. Let u(q) be the second derivative of 1/30*q**6 - 1/12*q**w - 3*q + 0*q**3 + 0*q**2 + 0*q**5 + 0. Factor u(n).
n**2*(n - 1)*(n + 1