+ 2)**2
Suppose -s = 4*s - 10. Suppose -s*h - 20 = -7*h. Factor h*o**2 + 2*o**3 - 2*o - 4*o**2.
2*o*(o - 1)*(o + 1)
Let b(t) be the second derivative of -t**7/84 + t**6/20 + t**5/4 + t**4/12 - 3*t**3/4 - 5*t**2/4 - 10*t - 1. Find h such that b(h) = 0.
-1, 1, 5
Let g = -17 - -19. Suppose 12*c + 3*c**2 - 4*c**2 - 2*c**g - c**2 = 0. Calculate c.
0, 3
Let o be (2 - 1)/((-2)/(-22)). Let l = o + -31/3. Factor 0*x - l*x**3 - 2/3*x**2 + 0.
-2*x**2*(x + 1)/3
Let l = -7 + 9. Factor 2*y - y**2 + l*y + 3 - 7.
-(y - 2)**2
Let q(r) = r**2 + r. Let g(a) = -2*a**3 + 24*a**2 - 15*a - 16. Let p(t) = 2*g(t) - 18*q(t). Determine k, given that p(k) = 0.
-1/2, 4
Let q(z) = 4*z**3 + 10*z**2 - 8*z + 4. Let j(b) = b**3 + b**2. Let p(k) = -10*j(k) + 2*q(k). Find m, given that p(m) = 0.
1, 2
Let v(m) be the third derivative of m**7/2520 - m**6/720 - m**5/60 + m**4/12 - 3*m**2. Let l(t) be the second derivative of v(t). Factor l(o).
(o - 2)*(o + 1)
Let p(j) = -1. Let v(i) = -i**2 + 2*i + 4. Let l = -1 + 1. Let o = l + -1. Let q(f) = o*v(f) - 4*p(f). Factor q(x).
x*(x - 2)
Let t be 2*185/50 + -7. Factor t + 2/5*a**2 - 4/5*a.
2*(a - 1)**2/5
Let s(b) be the second derivative of -b**7/147 + 2*b**6/105 - b**4/21 + b**3/21 - 8*b. Solve s(k) = 0 for k.
-1, 0, 1
Let 4/3*n**4 + 0*n**3 - 2 - 17/3*n + 1/3*n**5 - 14/3*n**2 = 0. What is n?
-3, -1, 2
Let g(u) = 11*u. Let o(c) = 5*c. Let p(i) = 6*g(i) - 13*o(i). Let x(f) = -f**2 - 4*f - 2. Let d(t) = -14*p(t) - 2*x(t). Let d(n) = 0. What is n?
1, 2
Determine a, given that 8/13*a**2 + 0 + 2/13*a**5 - 6/13*a - 8/13*a**4 + 4/13*a**3 = 0.
-1, 0, 1, 3
Let r be ((4/8)/1)/1. Let a**4 - 1/2*a - a**2 + r*a**5 + 0*a**3 + 0 = 0. What is a?
-1, 0, 1
Let j(o) be the first derivative of 3*o**5/5 + 3*o**4 + 5*o**3 + 3*o**2 - 3. Factor j(d).
3*d*(d + 1)**2*(d + 2)
Let q(a) = 2*a**2 + 13*a + 8. Let k be q(-6). Factor 8/9*d**k + 4/9 + 2/9*d**3 + 10/9*d.
2*(d + 1)**2*(d + 2)/9
Let g(v) be the first derivative of 2*v**5/45 + v**4/18 - 2*v**3/9 - 5*v**2/9 - 4*v/9 - 8. Factor g(o).
2*(o - 2)*(o + 1)**3/9
Let m(i) be the second derivative of -i**4/8 + 3*i**3/2 - 27*i**2/4 - 3*i. Factor m(g).
-3*(g - 3)**2/2
Let q(f) be the third derivative of 0*f + 1/90*f**6 + 0 + 3*f**2 + 1/1008*f**8 - 2/315*f**7 + 1/9*f**3 - 5/72*f**4 + 1/90*f**5. Factor q(k).
(k - 2)*(k - 1)**3*(k + 1)/3
Let n(a) be the third derivative of a**7/420 - a**5/40 + a**4/24 + 5*a**2. Solve n(j) = 0.
-2, 0, 1
Suppose 32/7*t**2 + 6/7*t**5 - 12/7 - 4/7*t**3 - 20/7*t**4 - 2/7*t = 0. Calculate t.
-1, -2/3, 1, 3
Let o(q) be the second derivative of 8*q**7/63 - 14*q**6/27 - 7*q**5/90 + 11*q**4/6 + 8*q**3/27 - 4*q**2/9 - 2*q + 39. Let o(c) = 0. What is c?
-1, -1/4, 1/6, 2
Let j(c) be the first derivative of c**5/2 - 5*c**4/8 - 5*c**3/3 + 12. Solve j(h) = 0.
-1, 0, 2
Suppose 0 = -r + 4*r - 33. Let 3*k**5 - 20*k**3 + 3 + 6*k + 3*k**4 - 3*k**2 + r*k**3 - 3 = 0. What is k?
-2, -1, 0, 1
Let v = 13/7 - 71/42. Let l(q) be the second derivative of -4/7*q**2 + 16/21*q**3 - v*q**4 + 0 + 2*q. Determine k so that l(k) = 0.
2/7, 2
Let z(r) be the second derivative of r**5/50 - r**4/10 + 2*r**3/15 + 5*r. Factor z(j).
2*j*(j - 2)*(j - 1)/5
Let n = 21 - 61/3. Solve 2/3*v**4 - n*v**2 + 2/3*v**3 + 0 - 2/3*v = 0 for v.
-1, 0, 1
Let p(u) be the second derivative of -u**10/75600 + u**9/18900 - u**7/3150 + u**6/1800 - u**4/4 + 4*u. Let c(i) be the third derivative of p(i). Factor c(v).
-2*v*(v - 1)**3*(v + 1)/5
Let p(y) be the first derivative of -2*y**5/5 - 2*y**4 - 2*y**3 - 45. Factor p(x).
-2*x**2*(x + 1)*(x + 3)
Let z(u) = -17*u**2 - 55*u - 128. Let d(a) = 4*a**2 + 14*a + 32. Let i(j) = 9*d(j) + 2*z(j). Factor i(c).
2*(c + 4)**2
Let m(r) = -r + 4. Let y be m(2). Factor 10 - n - n**y - 2*n - 2*n**2 - 4.
-3*(n - 1)*(n + 2)
Let a(d) = -d**2 - 5*d + 2. Let l be a(-5). What is c in c + c**l + 0*c - 3*c**2 + c**3 = 0?
0, 1
Let x be ((-3)/(-750))/((-1)/8). Let o = x + 528/875. Factor -2/7*r**4 + 0*r + 0 - 2/7*r**2 - o*r**3.
-2*r**2*(r + 1)**2/7
Let r(q) = q**2 + 8*q + 7. Let h be r(-7). Let d be (0 + h)*3/(-6). Factor 1 - y**3 - 3*y**2 + d*y**2 - 2 - 3*y.
-(y + 1)**3
Let b(d) be the third derivative of 0*d + 1/180*d**6 + 0 + 0*d**5 - 1/630*d**7 - 1/36*d**4 + 1/18*d**3 - d**2. Find h, given that b(h) = 0.
-1, 1
Suppose o = -3*x - 0*o + 3, 3 = -3*x + o. Factor 0*h**4 + h**3 + 0 - 1/2*h + x*h**2 - 1/2*h**5.
-h*(h - 1)**2*(h + 1)**2/2
Let u(v) be the third derivative of -v**9/90720 + v**8/60480 + v**7/3024 + v**6/1080 + v**5/20 - v**2. Let c(x) be the third derivative of u(x). Factor c(n).
-(n - 2)*(n + 1)*(2*n + 1)/3
Let g be (7/(-15))/(1/(-18)). Let h = -38/5 + g. Suppose -4/5*k**4 + 0*k + h*k**2 + 0 + 2/5*k**5 - 2/5*k**3 = 0. Calculate k.
-1, 0, 1, 2
Suppose 8 = -g + 8. Let l(v) be the second derivative of 0*v**3 + 0 + 0*v**2 - 1/10*v**5 + 1/21*v**7 + 0*v**6 + g*v**4 - 2*v. Factor l(q).
2*q**3*(q - 1)*(q + 1)
Let d(w) be the third derivative of 1/36*w**4 - 2*w**2 + 0 + 0*w**3 - 1/180*w**6 + 0*w**5 + 0*w. Factor d(i).
-2*i*(i - 1)*(i + 1)/3
Let u(z) be the first derivative of z**5/70 + z**4/14 - 4*z**2/7 - 6*z - 1. Let v(a) be the first derivative of u(a). Let v(y) = 0. What is y?
-2, 1
Let z be 28/96 + (-111)/(-296). Determine l so that 1/3*l**2 - z*l + 1/3 = 0.
1
Suppose 0 = -2*s - 0*s + 8. Let w = s + -2. Find b, given that 2*b + 2*b**3 - 2*b**4 - 2*b + 2*b**2 + 0*b - w*b**5 = 0.
-1, 0, 1
Let h(i) be the second derivative of 5*i**7/42 + 7*i**6/30 - 9*i**5/10 - 7*i**4/3 - 4*i**3/3 + 4*i. Suppose h(v) = 0. Calculate v.
-2, -1, -2/5, 0, 2
Suppose 0 = 4*z - 0 - 8. Determine p so that 0 + 0*p + 1/3*p**3 - 2/3*p**z = 0.
0, 2
Let n(c) be the second derivative of -9*c**2 + 2*c**3 - 1/6*c**4 + 0 - 2*c. Solve n(i) = 0.
3
Let b be (-3)/(-63) - ((-78)/(-21) - 4). Let l(p) be the first derivative of 1/6*p**4 - 2 - b*p**2 - 2/3*p + 2/9*p**3. Suppose l(h) = 0. What is h?
-1, 1
Suppose m + 0*d + d - 16 = 0, 4*d = 4*m - 32. Suppose -6*k + 2*k - 3*z = -12, 4*k - z - m = 0. Solve 13*s**2 - 5*s - 3*s - 10*s**k + 2*s**4 + 3*s**2 = 0.
0, 1, 2
Factor 16*u**5 - 15*u**4 - 14*u**2 + 34*u**2 - 11*u**5.
5*u**2*(u - 2)**2*(u + 1)
Let b(k) = 9*k**2 - 4*k - 4. Let c(q) = -1 - 4*q**2 + 4*q**2 + 5*q**2 - 4*q**2. Let a(g) = -b(g) + 5*c(g). Factor a(j).
-(2*j - 1)**2
Let w(r) be the second derivative of 2*r**7/147 + 2*r**6/105 - r**5/35 - r**4/21 + 20*r. Factor w(t).
4*t**2*(t - 1)*(t + 1)**2/7
Let z(b) be the third derivative of b**5/60 + 7*b**4/24 + b**3/3 - 2*b**2. Let y be z(-7). Solve -y*w**5 + 3*w**4 - w**4 - 2*w**5 + 2*w**5 = 0 for w.
0, 1
Let u(w) be the second derivative of w**8/3840 - w**7/840 + w**6/960 + w**5/240 - 5*w**4/12 + w. Let j(a) be the third derivative of u(a). Factor j(c).
(c - 1)**2*(7*c + 2)/4
Let -8/7*t + 0 - 2/7*t**3 + 8/7*t**2 = 0. What is t?
0, 2
Let b(m) be the third derivative of m**7/105 + m**6/30 - m**5/30 - m**4/6 - 6*m**2. Factor b(u).
2*u*(u - 1)*(u + 1)*(u + 2)
Suppose -3*p = 3*p - 12. Let r(x) be the second derivative of 1/100*x**5 + x + 0 - 1/10*x**4 - 4/5*x**p + 2/5*x**3. Let r(n) = 0. Calculate n.
2
Let n(h) be the first derivative of -h**4/2 - 4*h**3/3 - h**2 + 1. What is i in n(i) = 0?
-1, 0
Let u(j) be the third derivative of j**6/60 + 2*j**5/25 + 3*j**4/20 + 2*j**3/15 - 3*j**2. Factor u(g).
2*(g + 1)**2*(5*g + 2)/5
Let w(j) be the first derivative of 7*j**6/6 + 26*j**5/5 + 27*j**4/4 + 4*j**3/3 - 2*j**2 + 7. Factor w(c).
c*(c + 1)**2*(c + 2)*(7*c - 2)
Let u = 21641/4 - 5347. Let f = u - 63. Factor -1/4*t + f*t**2 + 0.
t*(t - 1)/4
Let x = 63 - 60. Let v(h) be the second derivative of -1/54*h**4 + 1/9*h**2 + 0 - 1/27*h**x + 1/90*h**5 + 3*h. Let v(f) = 0. What is f?
-1, 1
Let v(p) be the third derivative of p**9/30240 + p**8/2240 + p**7/420 + p**6/180 - p**4/8 + 2*p**2. Let d(q) be the second derivative of v(q). Solve d(g) = 0.
-2, 0
Let m be 4/(-14) - (-8)/28. Let u = m + -4. Let z(a) = -6*a**2 - 2*a + 4. Let s(p) = 5*p**2 + 2*p - 3. Let v(x) = u*s(x) - 3*z(x). Factor v(r).
-2*r*(r + 1)
Let v = 20 + -20. Let m(x) be the second derivative of -x + 1/3*x**4 + 1/3*x**6 + 0*x**3 + 0 - 7/10*x**5 + v*x**2. Suppose m(z) = 0. Calculate z.
0, 2/5, 1
Let w = -3 - -7. Suppose -t - w = -2*t. Factor 1/2*g**t + 0 + 0*g - 1/2*g**2 - 1/2*g**3 + 1/2*g**5.
g**2*(g - 1)*(g + 1)**2/2
Let t be -10*1/((-10)/4). Let 4*w - 6*w**3 - 2*w**2