i(y) = 4*y**2 - 22*y + 18. Let a(u) = -6*h(u) + i(u). Find b such that a(b) = 0.
1, 3
Determine b, given that 0*b - 2/7*b**3 + 0 + 2/7*b**2 = 0.
0, 1
Let t be (6/(-8)*-4 + -4)/(-4). Factor 0 + 1/2*l - t*l**3 + 1/4*l**2.
-l*(l - 2)*(l + 1)/4
Suppose -18 = -m - 2*m. Let x(o) be the first derivative of 1 + 0*o**3 - 3/8*o**m + 0*o - 1/2*o**2 + 0*o**5 + 13/16*o**4. Suppose x(g) = 0. What is g?
-1, -2/3, 0, 2/3, 1
Let d = -136 + 138. Factor 0*f**d + 0 + 3/5*f**3 - 3/5*f.
3*f*(f - 1)*(f + 1)/5
Let s(k) be the first derivative of k**5/120 + 3*k**2 - 5. Let r(h) be the second derivative of s(h). Factor r(x).
x**2/2
Let g = 12 + -10. Let c be 1 + g*1/(-2). Factor -2/5*z**2 + 0*z + c.
-2*z**2/5
Let h(v) = 15*v**3 - 31*v**2 - 5*v. Let i(l) = 2*l - 6*l**3 + l**3 + 6*l**2 + 4*l**2. Let c(w) = 2*h(w) + 7*i(w). Factor c(t).
-t*(t - 2)*(5*t + 2)
Let t(p) = p**2 - 9*p + 7. Let f be t(8). Let i be f - (-2)/((-6)/(-9)). Factor -i*o**4 + o**2 - 3*o**3 + 2*o**4 + o**4 + o**2.
o**2*(o - 2)*(o - 1)
Let l(g) be the first derivative of -3*g**5 + 35*g**4/4 - 25*g**3/3 + 5*g**2/2 - 17. Factor l(r).
-5*r*(r - 1)**2*(3*r - 1)
Let g be -1174*(-1)/((-10)/1). Let h = -117 - g. Find q such that -4/5*q - 2/5*q**2 - h = 0.
-1
Suppose -x - 5*d - 3 = -0, x + 3*d + 1 = 0. Suppose 3*r**3 - 4*r**3 + x*r**3 - 48*r - 5*r**3 - 32 - 24*r**2 = 0. What is r?
-2
Let g(f) be the first derivative of f**4/18 - 16*f**3/27 + 13*f**2/9 - 4*f/3 - 8. Factor g(i).
2*(i - 6)*(i - 1)**2/9
Let k(q) be the first derivative of q**6/60 - q**5/60 - q**4/24 - q**2 + 2. Let l(i) be the second derivative of k(i). Factor l(w).
w*(w - 1)*(2*w + 1)
Let j be (1 - 2398/480) + 4. Let t(v) be the third derivative of 0 - 1/24*v**3 - 1/96*v**4 + 1/480*v**6 + 2*v**2 + 0*v + j*v**5. Suppose t(i) = 0. Calculate i.
-1, 1
Let n(m) be the third derivative of -m**7/336 + 7*m**6/720 - m**5/120 + m**3/3 + m**2. Let k(c) be the first derivative of n(c). Let k(b) = 0. What is b?
0, 2/5, 1
Let v(l) be the third derivative of 0 + 0*l + 0*l**5 - 3/32*l**4 + 1/160*l**6 + 1/4*l**3 + 2*l**2. Factor v(p).
3*(p - 1)**2*(p + 2)/4
Let d(l) be the second derivative of l**4/3 - 2*l**3/3 + 15*l. Factor d(b).
4*b*(b - 1)
Suppose 4 + 23*i**3 - 12*i**4 - 2*i**3 - 13*i**3 + 8*i**2 + 4*i**5 - 12*i = 0. Calculate i.
-1, 1
Factor 16/5*l - 4/5*l**2 - 16/5.
-4*(l - 2)**2/5
Let b be ((-10 - -12) + 7)/12. Determine i so that 1/4*i**4 - b*i**2 + i + 1 - 1/2*i**3 = 0.
-1, 2
Let a(i) = -4*i + 3. Let o be a(-5). Let w = o - 114/5. Find g such that -w*g - 2/5 + 1/5*g**2 = 0.
-1, 2
Let x be (1 - -5) + -6 - (-4 + 0). Determine h, given that 4/3*h**x - 11/3*h**3 - 1/3 + 3*h**2 - 1/3*h = 0.
-1/4, 1
Let l = 10 + -12. Let j(r) = -2*r - 2. Let u be j(l). Suppose 2*v + 2/3*v**u + 4/3 = 0. What is v?
-2, -1
Let 14*n**2 + 9*n + 2 - 4*n + 11*n = 0. What is n?
-1, -1/7
Suppose -2*k + 0 + 10/3*k**2 = 0. Calculate k.
0, 3/5
Let w(g) be the third derivative of -g**6/40 + g**5/20 + 2*g**4 + 10*g**3 - 21*g**2. Suppose w(k) = 0. Calculate k.
-2, 5
Let u(d) = 8*d**2 - 12*d + 4. Let w(l) = 6*l**2 - 24*l + 18. Let y(h) = h**2 - 1. Let p(i) = -w(i) - 9*y(i). Let v(n) = -5*p(n) - 9*u(n). What is q in v(q) = 0?
1, 3
Let c(o) be the first derivative of 3/7*o - 3/14*o**2 + 15/28*o**4 - 3/7*o**3 - 6/35*o**5 - 2. Let c(g) = 0. Calculate g.
-1/2, 1
Suppose 5*v - 11 = 19. Let h(z) be the second derivative of -1/21*z**7 + 0*z**2 - z - 1/10*z**5 + 0*z**4 + 0 + 0*z**3 - 2/15*z**v. Factor h(u).
-2*u**3*(u + 1)**2
Determine j so that 2/3 + 2/3*j**2 + 4/3*j = 0.
-1
Suppose 2*j = n - 6, -3*j = -22 + 7. Suppose -5 = -d - 0*d + c, 5*d - n = 2*c. Factor -5/4*w + 1/4*w**3 - 3/4*w**d + 1/4*w**4 - 1/2.
(w - 2)*(w + 1)**3/4
Let y(d) be the third derivative of d**6/210 - 8*d**5/105 + 8*d**4/21 - 14*d**2. Factor y(j).
4*j*(j - 4)**2/7
Let t(l) be the first derivative of 0*l**2 - 1 - 2/5*l**5 - 1/2*l**4 + 0*l**3 + 0*l. Solve t(u) = 0.
-1, 0
Let j(m) be the third derivative of 0*m**4 + 0*m + 0*m**3 + 0*m**5 + 1/30*m**6 + 0 + 2*m**2 - 1/105*m**7. Factor j(y).
-2*y**3*(y - 2)
Let b(v) be the third derivative of v**7/1155 + v**6/132 + 4*v**5/165 + v**4/33 - 18*v**2. Solve b(p) = 0 for p.
-2, -1, 0
Let t = -6 - 2. Let b = t + 11. Factor r**3 + 0*r**b + r**2 + 4 - 4.
r**2*(r + 1)
Let j(u) be the first derivative of u**7/420 + u**6/120 + u**5/120 - u**2/2 - 7. Let z(i) be the second derivative of j(i). Factor z(k).
k**2*(k + 1)**2/2
Factor 4/11*t**3 + 0*t**2 - 4/11*t - 2/11*t**4 + 2/11.
-2*(t - 1)**3*(t + 1)/11
Let m(c) be the second derivative of -3*c**5/20 - 3*c**4/4 - 3*c**3/2 - 3*c**2/2 - 7*c. Solve m(r) = 0.
-1
Let b = -315 + 317. Solve 3/4*y**4 + 0 + 3/4*y**5 - 3/4*y**3 - 3/4*y**b + 0*y = 0 for y.
-1, 0, 1
Let s(i) be the third derivative of i**7/14 - 13*i**6/120 - 17*i**5/60 + 13*i**4/24 + i**3/3 + 14*i**2. What is x in s(x) = 0?
-1, -2/15, 1
Let p(j) be the first derivative of 4*j**6/3 - 4*j**5/5 - j**4 - 8. Find t such that p(t) = 0.
-1/2, 0, 1
Let c(v) = 12*v**5 + 2*v**4 + 14*v**3 - 10*v**2. Let x(f) = f**5 + f**4 + f**3 - f**2. Let r(s) = -2*c(s) + 18*x(s). Factor r(w).
-2*w**2*(w - 1)**2*(3*w - 1)
Factor 1/2*f**3 - 1/3*f**4 + 0 + 1/2*f**2 - 1/3*f.
-f*(f - 2)*(f + 1)*(2*f - 1)/6
Let a(p) be the first derivative of p**3 + 1 + 3/4*p**4 + 0*p + 0*p**2. Factor a(d).
3*d**2*(d + 1)
Let j = 14074/2259 - 2/251. Suppose 16/9*d**4 + 16/9 + 50/9*d**3 + j*d + 76/9*d**2 + 2/9*d**5 = 0. What is d?
-2, -1
Let v be (-12)/(-9) + 8/4. Factor -2/3*u**5 - v*u**3 - 22/9*u**4 + 0 - 2*u**2 - 4/9*u.
-2*u*(u + 1)**3*(3*u + 2)/9
Let p be (1/48)/((-6)/(-4)). Let o(h) be the third derivative of -1/36*h**4 + 0*h**3 + 0 - 7/180*h**5 - p*h**6 + 0*h - 2*h**2. Find f, given that o(f) = 0.
-1, -2/5, 0
Let x(q) be the third derivative of -q**8/1008 + q**7/315 - q**5/90 + q**4/72 - 11*q**2. Let x(z) = 0. What is z?
-1, 0, 1
Let w(h) be the first derivative of 27*h**5/10 - 99*h**4/8 - h**3 + 39*h**2 + 36*h - 3. Suppose w(t) = 0. What is t?
-2/3, 2, 3
Suppose 3*x = 3*c - 840 - 369, 0 = -c - 2*x + 415. Let r = c - 2003/5. Factor 0*y + 22/5*y**3 + 14/5*y**5 + 0 - 4/5*y**2 - r*y**4.
2*y**2*(y - 1)**2*(7*y - 2)/5
Let c(f) be the third derivative of -f**5/240 + f**3/24 - 5*f**2. Let c(d) = 0. Calculate d.
-1, 1
Let v(u) be the first derivative of -u**5/5 - 3*u**4/4 - u**3/3 + 3*u**2/2 + 2*u - 8. Find b such that v(b) = 0.
-2, -1, 1
Let 8/19*f - 2/19*f**4 - 16/19*f**2 + 0 + 10/19*f**3 = 0. Calculate f.
0, 1, 2
Let -5*l**4 - 5*l**3 + 9*l + 12*l - 21*l = 0. Calculate l.
-1, 0
Let x be 1/(-10)*(-5 - (-5 - -8)). Factor x + 8/5*p - p**3 - 7/5*p**2.
-(p - 1)*(p + 2)*(5*p + 2)/5
Let w(r) be the second derivative of 6*r**6/5 - 9*r**5/5 - 7*r**4/3 + 6*r**3 - 4*r**2 - 16*r. Solve w(f) = 0 for f.
-1, 1/3, 2/3, 1
Factor -4/3*t**2 + 4/3*t**3 + 4/3*t**4 + 0 + 0*t - 4/3*t**5.
-4*t**2*(t - 1)**2*(t + 1)/3
Let g(l) be the second derivative of -l**7/1260 + l**6/360 + l**4/12 + 3*l. Let n(h) be the third derivative of g(h). Factor n(j).
-2*j*(j - 1)
Suppose 4*w = 4*z + 6 - 30, -3*z + 23 = -4*w. Let c(s) = -3*s**5 + 6*s**2 - 3*s - 6. Let p(f) = -f**5 + f**4 - 1. Let r(j) = z*c(j) - 6*p(j). Factor r(x).
3*x*(x - 1)**3*(x + 1)
Let j(h) = -h - 6. Let o be j(-10). Let b be 420/441 + o/(-6). What is d in 0 - b*d**2 + 4/7*d = 0?
0, 2
Let p(a) be the second derivative of -a**4/4 + a**3/2 - 8*a. Factor p(w).
-3*w*(w - 1)
Let q(x) be the first derivative of -x**4/12 + x**2/6 + 4. Suppose q(d) = 0. What is d?
-1, 0, 1
Let l(j) be the third derivative of -j**7/1680 + j**6/360 - j**5/240 + j**3/2 - 3*j**2. Let u(r) be the first derivative of l(r). Suppose u(p) = 0. Calculate p.
0, 1
Let l be (-11)/(-6) - (-5)/30. Let a(y) be the first derivative of 0*y**3 + 1/9*y**2 + l - 1/18*y**4 + 0*y. Factor a(b).
-2*b*(b - 1)*(b + 1)/9
Let t = 609 + -607. Solve 0 - x**3 + 1/3*x**t + 0*x = 0.
0, 1/3
Determine c so that c**2 - c**2 - 3*c**3 + 0*c**3 = 0.
0
Let u(s) be the first derivative of -s**5/210 + s**4/14 - 3*s**3/7 - s**2 + 2. Let a(y) be the second derivative of u(y). Determine j so that a(j) = 0.
3
Let a(k) be the third derivative of -k**6/180 - k**5/45 - 9*k**2. Suppose a(q) = 0. Calculate q.
-2, 0
Factor 11*t + 4*t**2 - 3 + 3 - 19*t.
4*t*(t - 2)
Solve -6/7*c**2 - 6/7*c - 2/7*c**3 - 2/7 = 0 for c.
-1
Let b(u) be the third derivative of -u**5/40 - u**4/4 - 3*u**3/4 + u**2.