= 4*k. Suppose 5*y**3 + 11*y**2 - 2*y**2 + 10*y - k*y**2 + 12*y**2 = 0. What is y?
-2, -1, 0
Let a = -17860 + 339342/19. Factor 16/19 - 12/19*s + a*s**2.
2*(s - 4)*(s - 2)/19
Find a, given that 2*a**4 + 7*a**3 - a**4 + 960*a**2 - 7*a - 961*a**2 = 0.
-7, -1, 0, 1
Let i = 124306/5 + -24861. Factor -1/5*b**2 + 2/5 - i*b.
-(b - 1)*(b + 2)/5
Let r(c) be the second derivative of -c**5/330 + c**4/66 - c**3/33 - 11*c**2/2 - 6*c. Let f(b) be the first derivative of r(b). Suppose f(o) = 0. Calculate o.
1
Let v(a) = 3*a + 3. Let y = 4 - 13. Let m = -11 - y. Let l(d) = d**3 + d**2 - 3*d - 3. Let c(s) = m*v(s) - 3*l(s). Factor c(i).
-3*(i - 1)*(i + 1)**2
Factor 0 + 44/5*i - 2/5*i**2.
-2*i*(i - 22)/5
Factor 1/8*c**3 + c**2 + 13/8*c + 3/4.
(c + 1)**2*(c + 6)/8
Suppose -10/11*h - 12/11*h**2 - 2/11*h**3 + 0 = 0. Calculate h.
-5, -1, 0
Let m be (573/1910)/(2/(1 - -23)). Suppose 3*b - 3/5*b**2 - m = 0. What is b?
2, 3
Let w(x) be the first derivative of -2/5*x**5 + 11/8*x**4 + 9/8*x**2 - 7 + 0*x - 2*x**3 + 1/24*x**6. Find v, given that w(v) = 0.
0, 1, 3
Let m = -796 + 799. Let y(u) be the third derivative of 0*u + 1/60*u**5 - 9*u**2 + 0 + 0*u**m + 0*u**6 + 1/36*u**4 - 1/630*u**7. Find b, given that y(b) = 0.
-1, 0, 2
Let q(v) be the first derivative of 49*v**6/2 - 651*v**5/5 + 621*v**4/4 + 29*v**3 - 84*v**2 - 36*v + 169. Let q(z) = 0. What is z?
-2/7, 1, 3
Suppose -4*y = -2*q + 14, q + q - 14 = -3*y. Solve -3/4*m**3 + y - 3/4*m - 3/2*m**2 = 0 for m.
-1, 0
Let x = 147839/5 - 29567. Let z be 2*1/6*15. Find t, given that -2/5*t**4 - 16/5*t**3 + 8/5*t + x*t**2 - 2/5 + 8/5*t**z = 0.
-1, 1/4, 1
Let c be 3/1 + (6 - 7). Let f = -1987/5 - -401. Factor 22/5*w**c + 0 - f*w**4 - 4/5*w - 24/5*w**3.
-2*w*(w + 2)*(3*w - 1)**2/5
Suppose 5*z = -2*r + 19, -27*r = -2*z - 28*r + 8. Let b(i) be the first derivative of -2*i - 5/2*i**2 + 5/4*i**4 + 6 + 2/3*i**z. Factor b(v).
(v - 1)*(v + 1)*(5*v + 2)
Let d(u) = -7*u**3 + 24*u**2 - 75*u + 5. Let o(c) = -3*c**3 + 12*c**2 - 37*c + 2. Let t(y) = -4*d(y) + 10*o(y). Factor t(f).
-2*f*(f - 7)*(f - 5)
Let g be (-1660)/(-14400) - -1*3/(-27). Let k(s) be the third derivative of 0*s - s**2 + g*s**5 - 1/48*s**4 + 0 + 1/24*s**3. Suppose k(r) = 0. What is r?
1
Let h(q) be the first derivative of -q**4/18 - 2*q**3/9 - 2*q**2/9 + 183. Factor h(w).
-2*w*(w + 1)*(w + 2)/9
Suppose 40*b - 252 = -44*b. Suppose 2*o + 17 = 3*o. Factor -5*n + 10*n**2 + 17 - 8*n**3 + 3*n**b - o.
-5*n*(n - 1)**2
Let i be (-8)/(-4) - (-2 - 382/(-6)). Let b = 60 + i. Suppose -b*a**2 + a**3 - a - 1/3*a**4 + 2/3 = 0. What is a?
-1, 1, 2
Let q(i) = i**3 - i**2 - 3*i + 3. Let p be q(-3). Let l = 266/11 + p. Factor 0 + l*u**2 + 0*u.
2*u**2/11
Let b(a) be the third derivative of a**8/2016 - a**7/630 - a**6/240 + 20*a**2 - 2*a. Determine n so that b(n) = 0.
-1, 0, 3
Let x = 13 - 8. Suppose -3*v + x*v = 0. Determine n so that -5*n**4 - 5*n + 5*n**5 - 10*n**3 + 10*n**2 + 10*n + v*n - 5 = 0.
-1, 1
Suppose -7*v + 2 - 37 = 0. Let l be 5 + (-7 - v) - 3. Suppose 2/3 - f + 1/3*f**3 + l*f**2 = 0. Calculate f.
-2, 1
Suppose -24*r - 3766 - 3506 = 0. Let a = -300 - r. Solve 1/4*i + i**2 - 1 - 1/4*i**a = 0 for i.
-1, 1, 4
Let a(w) be the second derivative of -w**7/63 - 4*w**6/15 - 43*w**5/30 - 10*w**4/3 - 28*w**3/9 - 638*w. Suppose a(s) = 0. What is s?
-7, -2, -1, 0
Let u(x) be the third derivative of x**6/30 + 13*x**5/5 + 183*x**2 - x. Factor u(s).
4*s**2*(s + 39)
Suppose 0 = 147*s + 20 - 20. Determine m, given that 16/7*m + s + 8/7*m**2 + 1/7*m**3 = 0.
-4, 0
Let q(g) be the second derivative of 3/19*g**5 + 43/114*g**4 + 8/19*g**3 + 0 + 4/19*g**2 + 9*g + 7/285*g**6. Let q(y) = 0. Calculate y.
-2, -1, -2/7
Solve -3*n**4 - 20*n**2 - 36*n + n**4 - 40*n**2 - 28*n**3 - 2*n**4 = 0 for n.
-3, -1, 0
Let w(q) be the second derivative of q**7/35 + 7*q**6/60 + q**5/6 + q**4/12 + 9*q**2 - 14*q. Let i(s) be the first derivative of w(s). Factor i(g).
2*g*(g + 1)**2*(3*g + 1)
Suppose -3*i + 16 = -68. Let g be (-60)/154 + 16/i. Factor -6/11*x**3 + 10/11*x**2 - g - 2/11*x.
-2*(x - 1)**2*(3*x + 1)/11
Let f(i) be the first derivative of -7*i**6/3 - 18*i**5/5 + 5*i**4/2 + 6*i**3 + 2*i**2 - 164. Determine c so that f(c) = 0.
-1, -2/7, 0, 1
Let p = -110 + 107. Let g be 3 + 20/p - -4. Factor -b**4 - 5/3*b**3 - 1/3*b**2 + 0 + g*b.
-b*(b + 1)**2*(3*b - 1)/3
Let l(h) = -h**2 - 4*h + 3. Let t(d) = -d**2 - 3*d + 2. Let x(b) = 2*l(b) - 3*t(b). Let u(f) = 18*f**2 + 33*f + 15. Let a(z) = -u(z) + 15*x(z). Factor a(r).
-3*(r + 1)*(r + 5)
Let p(d) = -20*d**2 - 87*d - 11. Let v(j) = 31*j**2 + 131*j + 16. Let a(l) = 7*p(l) + 5*v(l). Factor a(b).
(b + 3)*(15*b + 1)
Determine a, given that a**3 - 5840*a**4 - a**5 + 2*a**5 - 4*a**2 + 5843*a**4 - a**3 = 0.
-2, 0, 1
Let l(o) be the third derivative of o**6/40 + 11*o**5/10 + 65*o**4/8 - 338*o**3 + 66*o**2 + 4. Factor l(w).
3*(w - 4)*(w + 13)**2
Let n(i) be the first derivative of -i**6/45 + 8*i**5/75 - i**4/6 + 4*i**3/45 + 73. Factor n(l).
-2*l**2*(l - 2)*(l - 1)**2/15
Let d(l) be the third derivative of l**5/20 - 8*l**3 + 333*l**2. Suppose d(x) = 0. What is x?
-4, 4
Let m(u) be the second derivative of u**7/35 + 2*u**6/75 - 23*u**5/150 + 2*u**4/45 + 4*u**3/45 - 2*u - 19. Determine h, given that m(h) = 0.
-2, -1/3, 0, 2/3, 1
Let s = 1980 - 1978. Let m(k) be the first derivative of -1/16*k**s + 0*k**3 + 8 + 1/32*k**4 + 0*k. Suppose m(n) = 0. Calculate n.
-1, 0, 1
Let i(x) be the first derivative of -4*x**3/3 + 8*x**2 - 141. Factor i(o).
-4*o*(o - 4)
Let z(r) = -5*r**3 + 13*r**2 - 64*r - 76. Let u(k) = 3*k**3 - 14*k**2 + 63*k + 76. Let v(c) = -9*u(c) - 6*z(c). Solve v(y) = 0 for y.
-19, -1, 4
Suppose -10 = -3*x - 4*f, -4*f = -5*x - 7*f + 13. Suppose -24 = -9*m + 5*m. Determine w, given that -2 - w**x + 2*w**4 - 2 - m*w**3 + 3*w**2 + 6*w = 0.
-1, 1, 2
Let k be (2/(-8))/((-11)/341) + 98/(-14). Factor -k*h**4 + 3/2 + 9/4*h**2 + 15/4*h - 3/4*h**3.
-3*(h - 2)*(h + 1)**3/4
Let z(h) be the second derivative of 0 - 11/24*h**3 + 1/80*h**5 - 3/4*h**2 + 26*h - 1/12*h**4. Factor z(g).
(g - 6)*(g + 1)**2/4
Let q(k) be the first derivative of k**4/20 + k**3/3 - 3*k**2/5 - 14. Factor q(b).
b*(b - 1)*(b + 6)/5
Let s be 7689/(-297)*7*-1. Let f = s + -181. Factor f - 2/9*n**2 - 2/9*n**3 + 2/9*n.
-2*(n - 1)*(n + 1)**2/9
Let t(i) be the second derivative of -3*i**7/14 - 31*i**6/10 - 21*i**5/20 + 31*i**4/4 + 5*i**3 - 30*i. Let t(q) = 0. What is q?
-10, -1, -1/3, 0, 1
Suppose -f - 1 + 5 = -j, -3*f = -j - 10. Suppose -f*c + 7*d = 3*d - 4, 4*c + 5*d + 5 = 0. Factor 0*v**4 + c*v + 0 - 1/2*v**5 + 0*v**2 + 1/2*v**3.
-v**3*(v - 1)*(v + 1)/2
Let x = 124 - 122. Let t(h) = 21*h**2 + 60*h + 80. Let v(q) = 4*q**2 + 12*q + 16. Let d(n) = x*t(n) - 11*v(n). Determine j, given that d(j) = 0.
-4, -2
Let q(f) = -21*f**2 + 180*f - 159. Let z(w) = 5*w**2 - 45*w + 40. Let t(r) = -2*q(r) - 9*z(r). Suppose t(u) = 0. Calculate u.
1, 14
Find i, given that -682 - 62*i + 1105 + 2*i**2 - 555 = 0.
-2, 33
Let i(o) be the first derivative of 6 + 0*o**3 - 9*o**3 + 9*o**2 - 1 + 8*o**3 - 27*o. Suppose i(w) = 0. What is w?
3
Suppose 2*j = m - 6 - 2, 2*m - j - 13 = 0. Suppose 2*d - m*d = -4. Let -2*g**2 - g**5 + g**4 + d - 1 + 2*g**3 + 1 + 4*g - 5*g = 0. Calculate g.
-1, 1
Let a = 16667 + -16667. Factor a - 5/2*z**2 - 1/2*z.
-z*(5*z + 1)/2
Let f = 88 + -439/5. Let v(b) be the second derivative of 21/100*b**5 + 0 - 4*b + 0*b**2 + 1/4*b**4 - f*b**3. Suppose v(z) = 0. What is z?
-1, 0, 2/7
Let j(f) = f**2 - 5*f - 1. Let y be j(6). Suppose 3*x - 4 - 20 = -5*r, 2*r + 9 = y*x. Let 4*g**2 + g**x - g**3 - 2*g - 2*g**3 + 0*g = 0. What is g?
0, 1
Let l(g) be the first derivative of -5*g**3/12 - 133*g**2/8 + 27*g/2 + 135. Factor l(n).
-(n + 27)*(5*n - 2)/4
Let i(v) be the second derivative of -v**6/30 - v**5/5 + v**4/6 + 2*v**3 - 9*v**2/2 - 6*v - 4. Factor i(d).
-(d - 1)**2*(d + 3)**2
Suppose -10*k = -1 - 49. Let z(b) be the first derivative of -3/4*b - k + 3/8*b**4 + 1/8*b**6 + 9/20*b**5 - 9/8*b**2 - 1/2*b**3. Factor z(j).
3*(j - 1)*(j + 1)**4/4
Suppose o + 156 = 20*o + 33*o. Let -10/7*d - 2/7*d**o - 4/7 - 8/7*d**2 = 0. What is d?
-2, -1
Factor 24*k - 288 - 1/2*k**2.
-(k - 24)**2/2
Factor -11/10*k + 1/10*k**2 + 1.
(k - 10)*(k - 1)/10
Let r(n) = n**5 - 5*n**4 + 2*n**3 + 40*n**2 + 32*n - 4. Let w(z) = 3*z**5 - 21*z**4 + 9*z**3 + 159*z**2 + 126*z - 15. L