*k**q - 3/4*k**3 - 3/4 - 9/4*k = 0.
-1
What is q in -2/5*q**3 - 1/5*q**4 + 8/5*q + 4/5 + 3/5*q**2 = 0?
-2, -1, 2
Let c(w) = w**2 + w - 18. Let i be c(-6). Let v(h) = h - 7. Let n be v(i). Factor 0 - 3*d**n + 15/2*d**4 - 3/2*d**2 - 9/2*d**3 + 3/2*d.
-3*d*(d - 1)**3*(2*d + 1)/2
Let v = -1444 + 1446. Suppose 0*k**3 + 1/9*k - 2/9*k**4 + 2/9*k**v + 0 - 1/9*k**5 = 0. What is k?
-1, 0, 1
Let n(f) be the second derivative of 2*f**6/15 - 23*f**5/15 + 13*f**4/9 + 14*f**3/9 - 2*f + 41. Determine o, given that n(o) = 0.
-1/3, 0, 1, 7
Suppose -3*k - 5 = -l, 5*l - 6 = -5*k - 1. Let 4 + 30*b**2 - 5*b - l - 37*b**2 = 0. What is b?
-1, 2/7
Let v(u) be the first derivative of 5*u**6/6 + 3*u**5 + 5*u**4/4 - 5*u**3 - 5*u**2 - 65. Solve v(c) = 0.
-2, -1, 0, 1
Factor 4/5*a**2 + 1/5*a**4 - 1 - 6/5*a**3 + 6/5*a.
(a - 5)*(a - 1)**2*(a + 1)/5
Let p(b) = 6*b + 60. Let l be p(-8). Determine a so that -325*a**2 - 2*a + 2*a**3 + 270*a**2 + 43*a**3 + l*a = 0.
0, 2/9, 1
Factor -145*d**3 - 16 + 75*d**3 + 74*d**3 + 16*d**2 - 4*d.
4*(d - 1)*(d + 1)*(d + 4)
Suppose 5*m - 22 = -12. Let b be m/(-11) + ((-1576)/(-198) - 6). Solve -b - 4*p**2 - 2/9*p**4 - 14/9*p**3 - 40/9*p = 0 for p.
-2, -1
Let t(k) be the first derivative of 2*k - 1/4*k**4 - 50 - 5/2*k**2 + 4/3*k**3. Factor t(c).
-(c - 2)*(c - 1)**2
Let -26 + 76/3*y + 2/3*y**2 = 0. What is y?
-39, 1
Suppose -136*l - 4*z = -135*l - 3, -2*l + 6 = 3*z. Find v such that -72/5*v**l - 48/5*v + 18/5*v**4 + 8/5 + 94/5*v**2 = 0.
1/3, 2/3, 1, 2
Let d(s) = s**2 - 20. Let t be d(-5). Let p be 10/t - (-4 - -4). Factor 0*l + 3*l**3 + 0*l**p + 0 - 21/2*l**4.
-3*l**3*(7*l - 2)/2
Let s be (14 - -26)/(2*1). Suppose s*m - 13*m = 0. Factor 56/9*d**2 + m + 8/9*d + 98/9*d**3.
2*d*(7*d + 2)**2/9
Let u(b) = 7*b**2 - 10*b - 2. Let d(s) = -s + 1. Let t(n) = 4*d(n) + u(n). Let j(k) = 8*k**2 - 15*k + 1. Let r(z) = -2*j(z) + 3*t(z). Let r(f) = 0. Calculate f.
2/5, 2
Let q(k) be the second derivative of k**4/12 - 2*k**2 - 181*k. Factor q(d).
(d - 2)*(d + 2)
Let f(r) be the third derivative of 0 + 0*r**3 + 0*r - 7*r**2 - 1/75*r**5 + 1/840*r**8 + 0*r**4 - 4/525*r**7 + 1/60*r**6. Let f(u) = 0. Calculate u.
0, 1, 2
Let w(r) be the second derivative of 0 + 0*r**3 + 1/20*r**4 - 3/10*r**2 - 8*r. Factor w(k).
3*(k - 1)*(k + 1)/5
Solve -45*v - 20*v**2 + 3*v - 33*v**2 - 10*v**3 - 2*v**4 + 3*v**4 = 0 for v.
-3, -1, 0, 14
Let n be (-10)/(-21) + 1/(-7). Let j(r) be the second derivative of n*r**4 - 1/3*r**3 - 1/10*r**5 + 0*r**2 + 4*r + 0. Factor j(p).
-2*p*(p - 1)**2
Let x(o) be the first derivative of -o**8/1800 + 4*o**7/1575 - 11*o**6/2700 + o**5/450 + 29*o**3/3 + 1. Let q(a) be the third derivative of x(a). Factor q(g).
-2*g*(g - 1)**2*(7*g - 2)/15
Let m = -1 + 3. Determine p so that -40 + 2*p**m + 40 + 2*p = 0.
-1, 0
Let g(d) be the third derivative of -d**7/1960 - d**6/420 + d**5/280 + d**4/28 + 16*d**3/3 - 27*d**2. Let k(j) be the first derivative of g(j). Factor k(s).
-3*(s - 1)*(s + 1)*(s + 2)/7
Let r = -744 - -744. Let j(g) be the second derivative of 1/14*g**4 + 3/140*g**5 + 1/14*g**3 + 0*g**2 + r + 8*g. Factor j(f).
3*f*(f + 1)**2/7
Suppose 12*r = -284 + 320. Solve -2/9*t**2 + 1/9*t**5 + 0 - 1/9*t**r + 0*t + 2/9*t**4 = 0.
-2, -1, 0, 1
Suppose -12*g + 30*g - 216 = 0. Factor u**2 - 4*u**5 - 475*u**4 + 487*u**4 - g*u**3 + 3*u**2.
-4*u**2*(u - 1)**3
Suppose -3*m + 5*o + 129 = 0, m - 2*o = -o + 43. Factor 13*i**2 - m*i**2 + 8*i + 13*i**2 + 13*i**2 - 4.
-4*(i - 1)**2
Let z(m) be the first derivative of -m**6/3060 - m**5/340 - m**4/102 + 10*m**3/3 - 9. Let t(w) be the third derivative of z(w). Factor t(r).
-2*(r + 1)*(r + 2)/17
Let t = -1920 + 4609. Factor -y**3 - t + 2689.
-y**3
Let l(m) = -4*m**3 + 25*m**2 - 25*m - 9. Let w(f) = 2*f**3 - 12*f**2 + 12*f + 4. Let b(t) = -4*l(t) - 9*w(t). Suppose b(r) = 0. What is r?
0, 2
Suppose c + 3*i = 4, -4*c - 3*i + 16 = -2*i. Suppose 16*l = c*l + 36. Factor 2/3*m - 4/3*m**2 + 0 + 2/3*m**l.
2*m*(m - 1)**2/3
Let d(j) = 4*j + 90. Let v be d(-12). Suppose 5*a + v = 26*a. Solve 1/2 - 1/2*x**a + 0*x = 0.
-1, 1
Let i(g) be the second derivative of 5/2*g**2 + 0 + 1/24*g**4 + 0*g**3 + g - 1/24*g**5 - 7/240*g**6. Let c(u) be the first derivative of i(u). Factor c(r).
-r*(r + 1)*(7*r - 2)/2
Let q(b) be the third derivative of 1/3*b**4 + 0 - 1/15*b**6 + 5*b**2 + 0*b + 4/15*b**5 - 2/105*b**7 - 2*b**3. Let q(g) = 0. Calculate g.
-3, -1, 1
Factor 0 - 3/2*p**3 + 3/4*p**4 + 3/2*p - 3/4*p**2.
3*p*(p - 2)*(p - 1)*(p + 1)/4
Let v(b) be the first derivative of b**6/30 + 9*b**5/20 + 5*b**4/4 - 25*b**3/6 - 4*b - 19. Let z(d) be the first derivative of v(d). Factor z(g).
g*(g - 1)*(g + 5)**2
Let u(w) be the second derivative of w**4/18 + w**3/9 - 2*w**2 - 177*w. Factor u(d).
2*(d - 2)*(d + 3)/3
Let s(k) be the first derivative of 1/6*k**2 - 4 + 0*k + 1/12*k**4 + 2/9*k**3. Factor s(u).
u*(u + 1)**2/3
Let l(t) be the first derivative of -t**5/10 - 5*t**4/8 - 5*t**3/6 + 5*t**2/4 + 3*t + 53. Solve l(q) = 0.
-3, -2, -1, 1
Let b(d) = d**2 - d. Let q(k) = 4*k**2 - 20*k - 8. Let a be (-10)/3*(-144)/(-60). Let w(p) = a*b(p) + q(p). Factor w(y).
-4*(y + 1)*(y + 2)
Let f(l) be the first derivative of 0*l**3 - 12 + 3/28*l**4 + 0*l + 0*l**2. Factor f(m).
3*m**3/7
Let z = 41 - 39. Factor -n**3 - 23*n**z - 2*n**3 + 29*n**2 - 3*n + 0*n**3.
-3*n*(n - 1)**2
Suppose -4*p = 0, 0 = 3*o + o + 3*p - 12. Factor 0 + i**4 + 2*i**o - 9*i - 1 + 7*i.
(i - 1)*(i + 1)**3
Let p(n) be the first derivative of -2*n**4 + 0*n + 6 - 4/3*n**3 + 4/5*n**5 + 4*n**2. Factor p(w).
4*w*(w - 2)*(w - 1)*(w + 1)
Let y = 37 - 37. Suppose 0*l = -4*l + 8. Determine t, given that -2*t**3 - 5*t**l + y*t**2 + 7*t**2 = 0.
0, 1
Suppose 0 = 4*g - n + 15, 2*g = -0*g + 4*n - 4. Let x = 13 + g. Factor 7*m + m**4 + x*m**2 - m**3 + 0 + 2*m**3 + 2 + 4*m**3.
(m + 1)**3*(m + 2)
Let r(l) be the second derivative of l**7/48 + 5*l**6/12 + 21*l**5/32 - 5*l**4/3 - 13*l**3/12 - 5*l - 22. Find o, given that r(o) = 0.
-13, -2, -2/7, 0, 1
Suppose -317 - 24 = -62*v + 31. Determine g so that -21/2*g**3 + v + 24*g + 15/2*g**2 = 0.
-1, -2/7, 2
Let u(z) = -z**3 - 4*z**2 - 3*z. Let k be u(0). Solve 3/7*j**2 + 9/7*j**3 + k - 3/7*j**5 - 6/7*j - 3/7*j**4 = 0 for j.
-2, -1, 0, 1
Let v(h) be the third derivative of h**9/90720 - h**7/7560 + 11*h**5/20 - 26*h**2. Let f(c) be the third derivative of v(c). What is m in f(m) = 0?
-1, 0, 1
Suppose 24*f + 450 = 9*f. Let x be (3/5)/(63/f + 3). Suppose 0*q**2 - 4/3 - x*q**3 + 2*q = 0. What is q?
-2, 1
Let a be (-3)/18*16/(-24). Let f(t) be the second derivative of 7/60*t**5 + 0 + 5*t + 1/4*t**4 + a*t**3 + 0*t**2. Let f(q) = 0. What is q?
-1, -2/7, 0
Let p be (38/(-855))/(2/(-10)). Let r(y) = -5*y - 1. Let o be r(-1). Factor p*u**2 + 2/9*u**3 + 0 - 2/9*u - 2/9*u**o.
-2*u*(u - 1)**2*(u + 1)/9
Suppose 5*b - 37 - 28 = 0. Suppose -b*g + 17*g - 8 = 0. Solve 14*p**2 - 5 - 24*p**g + 7*p**2 - 7 + 15*p = 0 for p.
1, 4
Let g(h) = -19*h**3 + 9*h**2 - 27*h + 16. Let v(j) = 6*j**3 + j. Let n(k) = g(k) + 3*v(k). Suppose n(i) = 0. What is i?
1, 4
Let n be (988/(-1729))/((-2)/4). Determine s, given that -2*s + n*s**3 + 10/7*s**2 - 4/7 = 0.
-2, -1/4, 1
Suppose 4*b + 5*z - 31 = 0, -1 = -2*b + 5*z - 8. Suppose -b*n - 5*t - 12 = 0, n - 2*t + 5*t + 10 = 0. Factor -2*a**n - 2*a + a + 5*a.
-2*a*(a - 2)
Let w(m) = -8*m**3 - 5*m**2 + 7*m. Let i(d) = -7*d**3 - 4*d**2 + 6*d. Let q(a) = 7*i(a) - 6*w(a). Let z be q(2). Solve k + z*k**2 - 8*k - 2*k + 3*k**2 + 6 = 0.
1, 2
Let z = 107 + -107. Let x(r) be the third derivative of 1/90*r**5 + 1/9*r**3 - 6*r**2 + z + 0*r + 1/18*r**4. Factor x(j).
2*(j + 1)**2/3
Let r(i) be the first derivative of 9/4*i**4 + 3*i**3 + 0*i + 3/2*i**2 + 3/5*i**5 - 8. Factor r(g).
3*g*(g + 1)**3
Let i = -901 - -4508/5. Find l, given that 9/5*l**2 + 6/5 - i*l**4 - 3*l + 3/5*l**3 = 0.
-2, 1
Factor 76/3*z**2 - 4/3*z**3 - 48 - 64/3*z.
-4*(z - 18)*(z - 2)*(z + 1)/3
Let c = 2111/5 - 422. Let -8/5*p - c*p**2 - 16/5 = 0. Calculate p.
-4
Let m = -5 + -2. Let t = -5 - m. Factor -3*j**3 + 0*j + 0*j + 3*j + 0*j**3 + 6 - 6*j**t.
-3*(j - 1)*(j + 1)*(j + 2)
Let c be 10/(-3)*12/(-8). Let a(p) = p**4 + 16*p**3 + 34*p**2 + 20*p + 1. Let u(j) = 15*j**3 + 35*j**2 + 20*j. Let l(n) = c*a(n) - 4*u(n). Factor l(f).
5*(f + 1)**4
Let q(l) be the third derivative of -l**7/315 - 2*l**6/15 - 83*l**5/45 - 22*l**4/3 - 121*l**3/9