te p.
-2, -1, 0, 1
Solve 4/3*k**3 + 28*k**2 - 3380/3 + 52*k = 0 for k.
-13, 5
Let w(k) = -16*k**2 - 4*k - 12. Let c be (8 - (-10)/(-5))/(3/4). Let m(j) = j**2 - j + 1. Let p(t) = c*m(t) + w(t). Factor p(l).
-4*(l + 1)*(2*l + 1)
Let q(g) be the first derivative of 2*g**7/147 - 4*g**6/105 + g**5/35 - 20*g + 12. Let s(i) be the first derivative of q(i). Let s(a) = 0. What is a?
0, 1
Find j, given that 0 + 2/5*j - 22/5*j**3 + 4*j**2 = 0.
-1/11, 0, 1
Let j be ((-210)/133)/6*-4. Let n = j - 64/133. Factor -36/7 + n*b**3 - 4*b**2 + 60/7*b.
4*(b - 3)**2*(b - 1)/7
Let c(w) be the third derivative of -w**9/4536 + w**8/1260 - w**7/1260 + w**3 + 2*w**2. Let m(s) be the first derivative of c(s). What is u in m(u) = 0?
0, 1
Let l = -488/5 - -489/5. Let 2/5*b**3 - 1/5*b**4 + 0*b**2 - 2/5*b + l = 0. Calculate b.
-1, 1
Let n(y) be the third derivative of 0*y + 0 + 1/4*y**3 - 1/240*y**5 + 1/96*y**4 - 27*y**2. Factor n(i).
-(i - 3)*(i + 2)/4
Suppose -824 = -7*i - i. Let d = i - 514/5. Suppose 0 + 0*o**2 + 0*o - d*o**5 - 1/5*o**3 + 2/5*o**4 = 0. What is o?
0, 1
Factor 1/2*f + 6 - 1/2*f**2.
-(f - 4)*(f + 3)/2
Let y(c) = -6*c**2 + c - 5. Let h(q) = -7*q**2 + q - 6. Let w = -20 + 26. Let t(d) = w*y(d) - 5*h(d). Factor t(s).
-s*(s - 1)
Let o(d) be the first derivative of 0*d - 1/4*d**4 + d**2 - 5/3*d**3 - 8 + 6/5*d**5. Factor o(t).
t*(t + 1)*(2*t - 1)*(3*t - 2)
Suppose 11*n**4 - 2*n**3 - 3*n**4 + 12 - 7*n**4 + 14*n**2 - 3*n**4 + 26*n = 0. What is n?
-2, -1, 3
Find j, given that 5*j**3 + 35*j - 63 + 59*j**2 - 58 + 13*j**2 - 22*j**2 + 31 = 0.
-9, -2, 1
Factor -3/5*h**3 + 0 + 3/5*h**4 - 48/5*h**2 - 12*h.
3*h*(h - 5)*(h + 2)**2/5
What is a in -112/5*a - 4/5*a**3 + 8*a**2 + 96/5 = 0?
2, 6
Suppose j = 2*j. Suppose 0 = 77*v - 286 - 22. What is k in -k**v + k**2 + j - 1/2*k**3 + 1/2*k = 0?
-1, -1/2, 0, 1
Let w be (-2)/21 + (-662745)/(-42840). Determine s so that w*s**2 - 9*s - 63/8*s**3 + 3/2 = 0.
2/7, 2/3, 1
Let n(r) = -5*r**4 - 48*r**3 - 62*r**2 + 42*r + 73. Let d(x) = -10*x**4 - 95*x**3 - 125*x**2 + 85*x + 145. Let t(g) = -3*d(g) + 5*n(g). Let t(i) = 0. What is i?
-7, -2, -1, 1
Let a be -1*3 - 2352/(-735). Factor a*q**5 + 0*q + 0 - 4/5*q**2 + 8/5*q**3 - q**4.
q**2*(q - 2)**2*(q - 1)/5
Let w be 0 + 11 + -3 + -5. What is m in -2*m - m - 37*m**2 - 9 + 2*m**3 + m**w + 46*m**2 = 0?
-3, -1, 1
Let p(k) be the second derivative of 1/105*k**7 - 4/5*k**2 - 1/25*k**6 - 7*k + 7/30*k**4 + 0 + 0*k**3 - 1/50*k**5. Let p(v) = 0. Calculate v.
-1, 1, 2
Suppose 6 = -3*t, -2*l - 2 = -t - 8. Let d(v) = -v + 3. Let x be d(0). Factor -l*p**2 - 4*p**3 - 8*p**3 + 14*p**x.
2*p**2*(p - 1)
Let k be (91/(-42))/13*(5 - (-39)/(-6)). Determine u so that 0*u - k*u**4 + 1/2*u**2 + 0 - 1/4*u**3 = 0.
-2, 0, 1
Let c be 4*-12*(-9)/48. Let b be (3/c)/(4/24). Factor -k**4 - k**2 + 6*k**4 + 8*k - 18*k**3 + 11*k**2 + 2*k**b.
k*(k - 2)**2*(5*k + 2)
Suppose 0 = 9*c - 3*c + 42. Let z be c/((-105)/(-6)) - -1. Determine g so that -1/5*g**2 + z + 2/5*g = 0.
-1, 3
Find h, given that 2/5*h**3 + 0*h**2 + 84/5 - 86/5*h = 0.
-7, 1, 6
Let u(d) = -5*d**5 + 8*d**4 - 8*d**2 - 7*d. Let c = 42 - 36. Let o(j) = -11*j**5 + 17*j**4 - 17*j**2 - 15*j. Let y(n) = c*o(n) - 13*u(n). Factor y(p).
-p*(p - 1)*(p + 1)**3
Determine l so that 6*l**2 + 0*l + 1/6*l**4 + 0 + 5/2*l**3 = 0.
-12, -3, 0
Let w be 76/(-10) + (-110)/(-22) + (-26 - -31). Factor -12*p - w*p**3 + 5 + 46/5*p**2 + 1/5*p**4.
(p - 5)**2*(p - 1)**2/5
Let k(o) = 3*o**3 + o**2 - 4*o - 2. Let t(u) = -19*u**3 - 5*u**2 + 24*u + 13. Let w = 39 + -45. Let b(n) = w*t(n) - 39*k(n). Factor b(l).
-3*l*(l - 1)*(l + 4)
Let h(j) be the third derivative of -j**6/660 + 17*j**5/330 + 370*j**2. Determine w so that h(w) = 0.
0, 17
Let u(i) be the third derivative of 0 - 1/504*i**8 + 1/105*i**7 + 1/90*i**6 + 0*i**3 + 2/9*i**4 + i**2 - 2/15*i**5 + 0*i. Let u(a) = 0. Calculate a.
-2, 0, 1, 2
Let t be (-1)/(135/(-36))*(-10)/(-4). Let v(b) be the first derivative of -10 - 4*b - t*b**3 - 3*b**2. Factor v(l).
-2*(l + 1)*(l + 2)
Let q(x) be the third derivative of -x**9/3780 + x**7/630 + x**4/3 + 7*x**2. Let h(l) be the second derivative of q(l). Let h(v) = 0. Calculate v.
-1, 0, 1
Let o(l) be the first derivative of 4*l**2 + 0*l + 8/3*l**3 - 15 + 1/2*l**4. Factor o(x).
2*x*(x + 2)**2
Let l(o) be the second derivative of o**6/120 - o**4/16 + o**3/12 - 34*o. What is m in l(m) = 0?
-2, 0, 1
Let o(f) be the second derivative of -f**5/12 + 5*f**4/8 + 10*f**3/3 - 14*f**2 + 49*f. Let m(i) be the first derivative of o(i). Find t such that m(t) = 0.
-1, 4
Let r(l) be the second derivative of l**6/180 + l**5/15 + l**4/3 + 2*l**3/3 + 2*l. Let p(y) be the second derivative of r(y). Find c such that p(c) = 0.
-2
Suppose 18/7*g**2 + 0*g + 33/7*g**3 + 9/7*g**4 + 0 = 0. What is g?
-3, -2/3, 0
Let d(s) = -s - 1. Let m(w) = 6*w**2 + 2*w + 1. Let q(t) = -5*t**2 - 2*t - 2. Let u(x) = 2*m(x) + 3*q(x). Let i(z) = 4*d(z) - u(z). Factor i(f).
f*(3*f - 2)
Let h(d) = -4*d - 172. Let f be h(-44). Let 4/3*p**2 - 2/3 - 2/3*p - 2/3*p**5 + 4/3*p**3 - 2/3*p**f = 0. Calculate p.
-1, 1
Let y(o) be the first derivative of 0*o - 11 + 1/16*o**4 - 1/20*o**5 + 0*o**3 + 0*o**2. What is c in y(c) = 0?
0, 1
Let w = -418 - -423. Let z(m) be the second derivative of 0 - 4/15*m**3 + 1/25*m**w - 3*m - 1/15*m**4 + 0*m**2. Let z(h) = 0. What is h?
-1, 0, 2
Let a be 2 - (3 - ((-20)/88 - -3)). Let u = a + -14/11. Let u*p + 3/4*p**4 + 0 - 1/4*p**5 - 3/4*p**2 - 1/4*p**3 = 0. What is p?
-1, 0, 1, 2
Let g = 3/47 - -38/141. Let x = g + -1/12. Factor x*f**3 - 1/4*f**2 - 1/2*f + 0.
f*(f - 2)*(f + 1)/4
Let y = 132 - 127. Let d(w) = 9*w**2 + 155*w + 722. Let x(k) = -6*k**2 - 103*k - 481. Let i(t) = y*d(t) + 7*x(t). Solve i(u) = 0 for u.
-9
Let z(u) = -2*u + 21. Let o be z(10). Let i be (o/(-7))/(5*6/(-60)). Factor -2/7*c + i - 2/7*c**2 + 2/7*c**3.
2*(c - 1)**2*(c + 1)/7
Let p be 3/(-81)*-3 + (-17)/((-1530)/50). Factor 0 + 0*c**2 - 4/3*c**4 + 2*c**3 + 0*c - p*c**5.
-2*c**3*(c - 1)*(c + 3)/3
Factor -3*a - 1/3*a**3 + 0 - 2*a**2.
-a*(a + 3)**2/3
Let q(k) = 4*k**2 + k - 2. Let x(r) = 90*r**2 - 918*r + 110406. Let w(s) = -44*q(s) + 2*x(s). Factor w(m).
4*(m - 235)**2
Let n(b) = -11*b**4 + 37*b**3 - 39*b**2 + 13. Let h(p) = 5*p**4 - 18*p**3 + 19*p**2 - 6. Let c(m) = -13*h(m) - 6*n(m). Determine y so that c(y) = 0.
-13, 0, 1
Find t such that 0*t + 29/2*t**3 - 5/2*t**5 + 0 - 31/2*t**4 + 7/2*t**2 = 0.
-7, -1/5, 0, 1
Factor -15/2*o - 3/4*o**3 + 0 - 21/4*o**2.
-3*o*(o + 2)*(o + 5)/4
Let n(i) = 104*i**3 + 412*i**2 + 374*i + 108. Let p(c) = c**3 + c**2 + c + 2. Let x(z) = n(z) - 6*p(z). Factor x(b).
2*(b + 3)*(7*b + 4)**2
Let z be (-4 - (4 - 9)) + -18. Let i be (3 - z/(-5))/((-1)/3). Factor i*h - 2*h**2 + 4/5.
-2*(h - 1)*(5*h + 2)/5
Let l(f) be the first derivative of -f**5 + 45*f**4/4 + 5*f**3 - 145*f**2/2 + 90*f + 809. Let l(p) = 0. What is p?
-2, 1, 9
Let a = -3577 + 21415/6. Let i = a + 55/3. Factor 1/2*x**2 + 8*x - i*x**3 + 2.
-(x - 1)*(3*x + 2)*(7*x + 2)/2
Let h(j) be the second derivative of -1/6*j**4 + 0*j**2 + 0 + 2/3*j**3 + 1/15*j**6 - 16*j + 1/21*j**7 - 3/10*j**5. Find l such that h(l) = 0.
-2, -1, 0, 1
Let h(a) be the first derivative of a**6/30 + a**5/20 - a**4/12 - a**3/6 + 2*a + 9. Let c(k) be the first derivative of h(k). Find d such that c(d) = 0.
-1, 0, 1
Let m(l) be the second derivative of -5*l**4/32 + 237*l**3/16 - 141*l**2/8 + 105*l - 1. Solve m(s) = 0 for s.
2/5, 47
Let u(i) be the second derivative of 3*i**5/140 - 12*i**4/7 + 93*i**3/14 - 69*i**2/7 + 2*i - 39. Factor u(a).
3*(a - 46)*(a - 1)**2/7
Suppose f + o = 3, -4*f - 1 + 4 = -5*o. Let x be ((-7)/35)/((-84)/15 + 5). Factor -1/3*m + 1/3*m**4 + 1/3*m**3 - x*m**f + 0.
m*(m - 1)*(m + 1)**2/3
Let h be (8/(-15))/(6/(-60)). Suppose 5*u = 3*n - 31, -6*n + u + 3 = -7*n. Suppose -3*d - h*d**3 + 1/3 + 8*d**n = 0. What is d?
1/4, 1
Factor 5/3*o**2 + 20/3 + 25/3*o.
5*(o + 1)*(o + 4)/3
Suppose -88*z = -131*z + 86. Solve 13*i - 7/2*i**z + 4 = 0.
-2/7, 4
Let d(m) be the second derivative of 0 - 2/9*m**3 - 1/20*m**5 - 1/6*m**4 - 11*m - 3/2*m**2. Let i(b) be the first derivative of d(b). Factor i(y).
-(3*y + 2)**2/3
Let g be (-3924)/(-31065)*(-10)/(-12). Determine f so that 10/19*f + g*f**2 + 8/19 = 0.
-4, -1
Find r such that 97*r - 485*r - 18818 + 137*r**2 - 139*r**2 = 0.
-97
Suppose 4*j = -4*q - 4, 4*j - 3*q