h(l) = 4*j(l) - 11*v(l). Factor h(d).
-3*(d - 1)**2
Suppose -u - u + 4 = 0. Find v such that -6*v**3 + v + 5*v**3 - v**2 - v**2 + u = 0.
-2, -1, 1
Let z = 315 + -313. Suppose 4/3 + 1/3*i**z + 4/3*i = 0. What is i?
-2
Suppose 4*n + 41 = -u, 0 = -4*n + 3*u - 11 - 10. Let x = n + 9. Let x*o**4 + 4/7*o**3 - 2/7*o**5 + 0*o**2 - 2/7*o + 0 = 0. Calculate o.
-1, 0, 1
Let n(w) = -w**2 - w - 1. Let q(y) = 2*y**2 + y - 3. Let s(a) = -n(a) - q(a). Factor s(v).
-(v - 2)*(v + 2)
Let v = 32 + -22. Suppose -5*k + v*k = 0. Let k + 0*c**2 - 1/2*c**3 + 1/2*c**5 + 0*c**4 + 0*c = 0. What is c?
-1, 0, 1
Let p be (-10)/(-66) - (-14)/77. Factor 0*l**2 - 2/3 - p*l**3 + l.
-(l - 1)**2*(l + 2)/3
Let v(h) = -6*h**4 - 7*h**3 + 5*h**2 + 12*h + 6. Let b(c) = 9*c**4 + 10*c**3 - 8*c**2 - 18*c - 9. Let g(a) = 5*b(a) + 8*v(a). Factor g(j).
-3*(j - 1)*(j + 1)**3
Let a(k) be the second derivative of -k**5/210 + k**4/84 + 2*k**3/21 + 3*k**2 - 6*k. Let w(g) be the first derivative of a(g). Factor w(s).
-2*(s - 2)*(s + 1)/7
Let s = 23167/19 - 1219. Factor 10/19*w**2 + s*w - 18/19 + 2/19*w**3.
2*(w - 1)*(w + 3)**2/19
Let f(b) = -2*b**5 + b**4 - 5*b**3 - 8*b**2 + 4*b + 7. Let u(o) = o**5 + o**2 - 1. Let q(m) = -2*f(m) - 6*u(m). Determine a so that q(a) = 0.
-2, -1, 1, 2
Suppose -15 = -t - 2*t, -z + 2*t - 10 = 0. Solve 0*j - 2/9*j**4 + z + 2/9*j**2 + 2/9*j**3 - 2/9*j**5 = 0.
-1, 0, 1
Let g = -3 - -5. Let u be (-3)/g*1/(-3). Let 1/2*j**2 - u*j**3 + 0 - 1/2*j**4 + 1/2*j = 0. What is j?
-1, 0, 1
Let o(l) = l**2 - l - 1. Let u(s) = 8*s + 6. Let p(r) = -2*o(r) - u(r). Solve p(h) = 0 for h.
-2, -1
Let y(d) be the second derivative of -3*d**6/10 + 3*d**5/20 + 3*d**4/4 - d**3/2 + 5*d. Factor y(h).
-3*h*(h - 1)*(h + 1)*(3*h - 1)
Suppose 2/11 + 2/11*k**2 + 4/11*k = 0. Calculate k.
-1
Let j(y) be the second derivative of 1/36*y**4 + 0 + 1/3*y**3 - 1/360*y**6 - 1/360*y**5 - 3*y + 0*y**2. Let p(u) be the second derivative of j(u). Factor p(n).
-(n + 1)*(3*n - 2)/3
Let d be (1 - 0) + (0 - -2). Suppose 0 = d*f - 5*f + 2. Factor -1/4*a**2 + a - f.
-(a - 2)**2/4
Let j(f) be the third derivative of f**9/37800 - f**7/3150 + f**5/300 - f**4/12 - 4*f**2. Let w(u) be the second derivative of j(u). What is n in w(n) = 0?
-1, 1
Factor -2/11*n**2 + 4/11*n - 2/11.
-2*(n - 1)**2/11
Let v = 8 + -13. Let z be (12/(-15))/(1/v). Let -g**5 - 4*g**3 - g + g - 3*g**4 + 7*g**z = 0. Calculate g.
0, 2
Suppose 3*z + 4 = 16. Factor -z*s - 3*s**2 + 6*s + s**2.
-2*s*(s - 1)
Suppose -x + 8 = 3*g + x, -g = -4*x + 2. Suppose -4*q = c - 12, 0 = -5*c - 2*q + q + 3. Determine d so that 1/2*d**g + 0 + c*d = 0.
0
Let z(b) = b**2 + 3*b + 2. Let k be z(-1). Let q be -4 + (3 - 0) + 5. Suppose 1/3*f**q + 1/3*f**3 - 1/3*f**2 - 1/3*f**5 + k + 0*f = 0. What is f?
-1, 0, 1
Suppose -394*v = -423*v. Solve 0*p**2 + 0 + 0*p**3 - 2/7*p**4 + v*p = 0 for p.
0
Let c be (-2 + -1 - 7)/(-8). Factor c*s**3 - s - 2*s**2 + 0.
s*(s - 2)*(5*s + 2)/4
Let l(s) be the second derivative of s**7/14 + s**6/10 - 9*s**5/20 - s**4/4 + s**3 - 5*s. Find f such that l(f) = 0.
-2, -1, 0, 1
Let b(t) = -t**3 + 5*t**2 + 3. Let q be b(5). Determine s so that 0*s**3 - s**q + 5*s**3 + 0*s**3 = 0.
0
Suppose -3*r = 2*r - 30. Let k be ((-3)/2)/((-3)/r). Factor 0 + 2/5*n**2 - 2/5*n**4 - 2/5*n**k + 2/5*n.
-2*n*(n - 1)*(n + 1)**2/5
Let r(n) = n + 19. Let y be r(-17). Solve 0 - 1/4*o**4 - 3/4*o**5 + 1/2*o**3 + 0*o + 0*o**y = 0 for o.
-1, 0, 2/3
Let t = 21 + -5. Factor -28*a**2 + 34*a - 24*a + 38*a + t.
-4*(a - 2)*(7*a + 2)
Suppose 0 - 1/4*k**2 - 1/8*k**3 + 1/8*k**4 + 0*k = 0. What is k?
-1, 0, 2
Suppose 0 = 2*i - 4*i - 4*k + 24, -4*i - 5*k + 36 = 0. Let g(s) be the first derivative of -1/2*s**i + 2 + 0*s**2 + 2/3*s**3 + 0*s. Factor g(u).
-2*u**2*(u - 1)
Let b = 133 - 131. Let s be (2/(-5))/((-4)/40). Suppose -2/11*f**b + 0*f + 4/11*f**3 + 0 - 2/11*f**s = 0. What is f?
0, 1
Suppose -4*s = 3*k - 8, -5*k = -3*k - 5*s - 36. Let a be 2 - 5/(25/k). Let 0 + a*t**2 - 2/5*t**4 + 2/5*t**3 - 2/5*t = 0. What is t?
-1, 0, 1
Let s be (1/(-6))/(((-18)/6)/12). Factor 0*x**2 + 0*x + s*x**3 + 0 + 0*x**4 - 2/3*x**5.
-2*x**3*(x - 1)*(x + 1)/3
Let g(i) be the first derivative of 3*i**5/5 - 2*i**3 + 3*i - 22. Suppose g(j) = 0. What is j?
-1, 1
Let j = 94/3 + -92/3. Factor -1/3 + n**4 - 1/3*n**5 + n - j*n**2 - 2/3*n**3.
-(n - 1)**4*(n + 1)/3
Let l(f) = -f**3 + 10*f**2 - 8*f - 5. Let k be l(9). Let s be (-16)/(-6) + (-2)/(-6). Factor a**4 + 2*a + 0*a**2 - 3*a**3 - s*a**k + 2*a**2 + a**3.
-2*a*(a - 1)*(a + 1)**2
Let r(v) be the first derivative of v**3/8 - 15*v**2/16 + 3*v/2 + 13. Suppose r(a) = 0. What is a?
1, 4
Factor 0 + 0*c + 2/5*c**4 + 8/5*c**2 + 8/5*c**3.
2*c**2*(c + 2)**2/5
Let u = -19/4 + 137/28. Determine m, given that -16/7 - u*m**2 + 8/7*m = 0.
4
Let m(i) be the third derivative of i**6/40 - 2*i**5/5 + 21*i**4/8 - 9*i**3 + 19*i**2. Suppose m(c) = 0. Calculate c.
2, 3
Let p be ((-16)/12)/(3/(-9)). Let j be p/3 + 8/12. Factor 2/7*n**j - 2/7*n - 2/7*n**4 + 2/7*n**3 + 0.
-2*n*(n - 1)**2*(n + 1)/7
Suppose 5*d - 43 + 3 = 0. Determine l, given that -9*l - d - 5*l + 2*l - 6*l**2 - l**3 = 0.
-2
Let h(j) be the second derivative of -j**4/102 + 20*j**3/51 - 100*j**2/17 - 32*j. Find m such that h(m) = 0.
10
Let c(z) be the third derivative of 0*z + 0*z**3 + 1/105*z**7 + z**2 + 0 + 1/12*z**4 - 1/30*z**5 - 1/60*z**6. Let c(m) = 0. What is m?
-1, 0, 1
Let m(h) be the first derivative of 0*h**2 + 1/3*h**3 - 1 - h. Factor m(z).
(z - 1)*(z + 1)
Let k(m) = 2 + 3*m - m + 0 + 3*m**2 - 6*m. Let w(o) = -4*o**2 + 4*o - 1. Let s(i) = -3*k(i) - 2*w(i). Factor s(y).
-(y - 2)**2
Let i(u) = -u**3 - 8*u**2 - 8*u - 4. Let p be i(-7). Let v(g) be the second derivative of 2*g + 0*g**2 + 0 + 0*g**p - 1/48*g**4. Solve v(o) = 0.
0
Suppose -18 = m - 10. Let p = m - -11. Factor 4/7*d**2 + 0 + 0*d + 2/7*d**p.
2*d**2*(d + 2)/7
Let x(v) be the first derivative of v**6/40 + 3*v**5/20 + v**4/4 - 3*v**2/2 - 2. Let m(z) be the second derivative of x(z). Factor m(u).
3*u*(u + 1)*(u + 2)
Let a be ((-6)/9 + 1)*(-7)/(-14). Suppose 0 - 1/6*q**3 + 0*q + 1/6*q**4 + 1/6*q**5 - a*q**2 = 0. Calculate q.
-1, 0, 1
Let s = 16 - 4. Suppose -s = 2*t - 5*t. Find u such that 0 + 1/2*u**3 + 0*u + 1/2*u**t + 0*u**2 = 0.
-1, 0
Let c(r) be the second derivative of 0 + 4/15*r**6 - 1/3*r**3 + r + 0*r**5 - 1/2*r**4 + 0*r**2. Let c(g) = 0. What is g?
-1/2, 0, 1
Let r be (2/5)/((-2)/20). Let c(d) = -4*d**3 - 8*d**2 + 3*d + 7. Let q(z) = 2*z**3 + 4*z**2 - 2*z - 4. Let v(t) = r*c(t) - 7*q(t). Factor v(f).
2*f*(f + 1)**2
Let s = -1388/13 - -107. Let t = -2/65 + s. Let -1/5*l**2 + t*l**3 - 1/5*l + 1/5 = 0. Calculate l.
-1, 1
Let o(l) be the third derivative of l**10/378000 - l**9/75600 + l**8/50400 + l**5/20 - 5*l**2. Let h(s) be the third derivative of o(s). Factor h(x).
2*x**2*(x - 1)**2/5
Let l(w) be the third derivative of w**8/13440 + w**7/5040 - 5*w**4/24 + 3*w**2. Let g(y) be the second derivative of l(y). Factor g(p).
p**2*(p + 1)/2
Let a(t) be the second derivative of 1/18*t**4 + 1/45*t**6 + 0*t**2 + t + 1/15*t**5 + 0 + 0*t**3. Determine f so that a(f) = 0.
-1, 0
Let m = 73 - 48. Suppose -m = -6*l + l. Factor 6*d**3 + 0 + 3*d**4 - 6*d - l + 2.
3*(d - 1)*(d + 1)**3
Let t(z) be the first derivative of 2*z**3 - z - 9*z**2 - 1/6*z**4 - 1. Let h(a) be the first derivative of t(a). Determine n so that h(n) = 0.
3
Let u(o) be the second derivative of -5*o**4/12 - 5*o**3/3 - 16*o. Factor u(l).
-5*l*(l + 2)
Let x(u) = 1. Let f(s) = -4*s - 5. Let a(t) = f(t) + 3*x(t). Let y be a(-2). Suppose 4*d + d**2 + 2*d**4 + y*d**4 + 2*d**4 + 17*d**2 + 24*d**3 = 0. Calculate d.
-1, -2/5, 0
Let i(s) be the first derivative of 3 + 1/9*s**4 - 1/45*s**5 - 1/9*s + 2/9*s**2 - 2/9*s**3. Factor i(o).
-(o - 1)**4/9
Let f(j) be the first derivative of -j**4/8 + j**3/6 + j**2/4 - j/2 - 11. Factor f(k).
-(k - 1)**2*(k + 1)/2
Let v = -83/5 + 17. Let l(w) be the second derivative of 1/5*w**3 - 3/50*w**5 - w - v*w**2 + 0 + 1/15*w**4. Let l(c) = 0. What is c?
-1, 2/3, 1
What is a in 0 + 32/7*a**5 - 48/7*a**4 + 12/7*a**2 + 2/7*a + 2/7*a**3 = 0?
-1/4, 0, 1
Let c be -1 - (-15)/4 - 27/36. Factor 3 - c*z + 1/3*z**2.
(z - 3)**2/3
Let v(p) be the third derivative of 5*p**8/336 - p**7/42 - p**6/24 + p**5/12 + 7*p**2. Factor v(z).
5*z**2*(z - 1)**2*(z + 1)
Factor -8*i + 6*i**4 + 4*i**4 + 6*i**3 - 4*i*