 of 2*s**5/5 + 25*s**4/2 + 286*s**3/3 - 169*s**2 + 87. Factor p(l).
2*l*(l - 1)*(l + 13)**2
Let t(g) = -2*g**2 - 9*g - 18. Let q = -24 + 25. Let r(p) = -25 - 6*p**2 + q - 26*p - 30. Let y(a) = -3*r(a) + 10*t(a). Factor y(s).
-2*(s + 3)**2
Let h(y) be the second derivative of 5*y**4/36 - y**3 - 4*y**2/3 - 135*y. Factor h(n).
(n - 4)*(5*n + 2)/3
Suppose -2 - 142/7*u - 20/7*u**2 = 0. Calculate u.
-7, -1/10
Let q be 1/3 + 58/6. Let -2*g**2 - 3*g**2 + q*g**2 + 4*g - 7*g**2 = 0. Calculate g.
0, 2
What is t in 429 - 5*t**2 + 19*t + 61*t - 504 = 0?
1, 15
Suppose 4/5*f**3 + 0 + 4/5*f**4 - 4/5*f - 4/5*f**2 = 0. What is f?
-1, 0, 1
Factor -8 + 2*y**2 + 2/5*y**3 - 8/5*y.
2*(y - 2)*(y + 2)*(y + 5)/5
Let k = 17 - 28. Let i = 16 + k. Solve -i*o**2 + 4*o + 0*o**2 + 4*o**4 - 4*o**3 + o**2 = 0.
-1, 0, 1
Factor 60/7 - 94/21*i + 2/21*i**2.
2*(i - 45)*(i - 2)/21
Solve 0 + 2/5*d**3 + 9248/5*d + 272/5*d**2 = 0 for d.
-68, 0
Let i(v) be the first derivative of -v**4/6 + v**2 + 16*v + 15. Let n(u) be the first derivative of i(u). Factor n(g).
-2*(g - 1)*(g + 1)
Let s(f) be the second derivative of -3/70*f**5 - 21*f + 1/147*f**7 + 0*f**2 + 2/105*f**6 + 0*f**3 + 0*f**4 + 0. Factor s(g).
2*g**3*(g - 1)*(g + 3)/7
Solve -1/2*t**5 + 3 - 23/2*t - 12*t**3 + 17*t**2 + 4*t**4 = 0 for t.
1, 2, 3
Let x(q) = -3*q**3 + 4*q**2 + q + 2. Let l(t) = 4*t**3 - 5*t**2 - 2*t - 2. Let f(v) = 2*v**2 + v + 5. Let h be f(0). Let p(r) = h*x(r) + 4*l(r). Factor p(a).
(a - 1)**2*(a + 2)
Let g be 0 + -4 + (-9775)/(-75). Let w = -125 + g. Factor 2/3*p - 2/3*p**3 - w*p**2 + 4/3.
-2*(p - 1)*(p + 1)*(p + 2)/3
Solve 0 - 2/5*w**2 - 8/5*w = 0 for w.
-4, 0
Let r be (-2 - (-103)/(-5))/(36/10). Let s = 13/2 + r. Find g, given that 2/3*g**2 - s*g**4 + 0 + 0*g + 4/9*g**3 = 0.
-1, 0, 3
Let o(m) be the third derivative of m**8/504 + m**7/35 + m**6/10 - 250*m**2. Determine v so that o(v) = 0.
-6, -3, 0
Let j(m) be the first derivative of -5*m**3/18 + 15*m**2/4 - 35*m/3 - 68. Determine c so that j(c) = 0.
2, 7
Let q(f) = -9*f + 56. Let x be q(0). Suppose -52 = d - x. Factor -2/9*c**5 + 0 - 2/9*c**3 + 4/9*c**d + 0*c + 0*c**2.
-2*c**3*(c - 1)**2/9
Suppose 0*q = 12*q - 48. Suppose 4*h = -4*a - q, a = 5*a + 5*h + 7. Suppose -1/2*p**2 + a + 0*p = 0. Calculate p.
-2, 2
Find w, given that -9*w - 9*w - 8 - 12*w**2 - w**3 - w**3 = 0.
-4, -1
Let c(a) be the second derivative of -a**4/12 + 5*a**3/3 + 119*a**2/2 + 80*a. Find p, given that c(p) = 0.
-7, 17
Factor 2/3*r + 8/3 - 8/3*r**2 - 2/3*r**3.
-2*(r - 1)*(r + 1)*(r + 4)/3
Let v(l) = -9*l**2 + 60*l - 450. Let m(q) = 5*q**2 - 30*q + 225. Let o(w) = 7*m(w) + 4*v(w). Find d, given that o(d) = 0.
15
Let z(l) = 8*l**2 + 106*l - 619. Let x(u) = -6*u**2 - 105*u + 620. Let m(h) = -6*x(h) - 5*z(h). Let m(i) = 0. What is i?
25/2
Let t(d) = 14*d + 30. Let a be t(-2). Let 8/5*x**3 + 4/5*x**4 + 0 + 0*x + 4/5*x**a = 0. What is x?
-1, 0
Solve 9*t**2 - 114*t - 2*t**2 - 3*t**2 - 62*t + 1936 = 0 for t.
22
Let s(x) be the first derivative of -x**4/14 - 2*x**3/7 + 10*x**2/7 - 20. Let s(r) = 0. What is r?
-5, 0, 2
Suppose 99*z - 104*z - 3*i - 10 = 0, -z - i = 6. Solve -13/8*u**3 + 0 - 1/2*u - 1/8*u**5 + 3/4*u**z + 3/2*u**2 = 0.
0, 1, 2
Let -24*m + 0 - 1/3*m**5 - 2/3*m**3 - 28*m**2 + 3*m**4 = 0. What is m?
-2, -1, 0, 6
Determine b so that 4/3*b - 1/3*b**3 - 1/6*b**4 + 0 + 2/3*b**2 = 0.
-2, 0, 2
Let p(o) be the second derivative of 5*o**7/84 - 7*o**6/12 + 15*o**5/8 - 15*o**4/8 - 644*o. Determine f so that p(f) = 0.
0, 1, 3
Suppose -13 = -l + 5*m, 4*l + l = -5*m - 25. Let u be ((-60)/45)/(l/3). Factor -8*j - 4*j**u + 10 + 3 - 1.
-4*(j - 1)*(j + 3)
Let c(n) be the second derivative of -n**8/4200 + n**7/525 - n**6/225 + n**3 - 19*n. Let h(z) be the second derivative of c(z). Solve h(u) = 0.
0, 2
Let b(x) be the third derivative of 2/3*x**3 - 17/30*x**5 - 1/5*x**6 + 0 + 0*x - 1/4*x**4 + 18*x**2. What is z in b(z) = 0?
-1, -2/3, 1/4
Let k(v) be the third derivative of v**8/1680 + v**7/175 - 3*v**6/200 - 7*v**5/150 - 426*v**2. Factor k(q).
q**2*(q - 2)*(q + 1)*(q + 7)/5
Let p(s) be the first derivative of -s**8/2016 + s**7/420 + 7*s**2 + 24. Let d(n) be the second derivative of p(n). Factor d(i).
-i**4*(i - 3)/6
Let i(s) = -5*s**4 + 17*s**3 - 105*s**2 - 119*s + 512. Let t(g) = g**4 - 4*g**3 + 26*g**2 + 30*g - 128. Let h(d) = -2*i(d) - 9*t(d). Factor h(w).
(w - 4)*(w - 2)*(w + 4)**2
Let n(h) = 2*h**3 + 15*h**2 + 8*h + 6. Let y be n(-7). Let a be y - (18/(-10))/1. Suppose 32/5*r + 64/5 + a*r**2 = 0. Calculate r.
-4
Let x(s) = 73*s + 730. Let c be x(-10). Factor 0*m + c + 2*m**5 + 4/5*m**3 + 14/5*m**4 + 0*m**2.
2*m**3*(m + 1)*(5*m + 2)/5
Let m be -1 - (131/(-262))/(1/6). Solve -2/7*o**m - 2/7*o + 0 = 0 for o.
-1, 0
Let z(x) be the first derivative of x**4/26 - 4*x**3/39 - 3*x**2/13 - 124. Find w such that z(w) = 0.
-1, 0, 3
Let h(z) = -30*z**3 - 321*z**2 - 651*z - 42. Let s(l) = -3*l**3 - 32*l**2 - 65*l - 4. Let t(u) = 2*h(u) - 21*s(u). Factor t(i).
3*i*(i + 3)*(i + 7)
Let j(m) be the first derivative of -2*m**5/25 + 48*m**4/5 - 2304*m**3/5 + 55296*m**2/5 - 663552*m/5 - 43. Find q, given that j(q) = 0.
24
Factor 6/5*g**4 + 3/5*g**5 + 0 + 0*g + 0*g**2 + 3/5*g**3.
3*g**3*(g + 1)**2/5
Let j be 23/((-69)/(-18)) - 6*(-5)/(-10). Factor 5/9*f**j + 0 - 1/9*f**4 - 1/3*f**2 - f.
-f*(f - 3)**2*(f + 1)/9
Let a(n) = 8*n**2 - 35*n + 30. Let g(b) = 14*b**2 - 69*b + 60. Let r(t) = -5*a(t) + 3*g(t). Factor r(w).
2*(w - 15)*(w - 1)
Let f be (-1485)/63 - 8/(-14). Let r = f - -26. Solve -6*s**2 + 3 - 9*s - 18*s**3 + 17*s**r - 3 = 0.
-3, 0
Let x = 2559 - 2556. Determine a, given that -3/5*a**5 - 6/5*a**2 + 9/5*a**x + 0*a + 0*a**4 + 0 = 0.
-2, 0, 1
Let l(x) be the first derivative of x**3/3 - 9*x - 37. Factor l(n).
(n - 3)*(n + 3)
Let j(m) be the first derivative of -m**5/60 - m**4/2 - 6*m**3 - 36*m**2 - 4*m + 11. Let d(g) be the first derivative of j(g). Let d(u) = 0. What is u?
-6
Let x = -19 - -20. Let h = 3 + x. Suppose 0*v + 0 - 3/2*v**h + 0*v**2 + 0*v**3 + 3/2*v**5 = 0. What is v?
0, 1
Factor 33/7*o**3 - 32/7*o**2 - 12/7*o + 0 - o**4.
-o*(o - 3)*(o - 2)*(7*o + 2)/7
Factor 6*w**3 - 68*w**2 + 113*w**2 - 8*w**3 - 19*w**3 - 6*w.
-3*w*(w - 2)*(7*w - 1)
Let q = 19 - 16. Let -r**q + r**2 - 3*r**3 - 4*r**2 - r**2 = 0. What is r?
-1, 0
Let b(k) be the second derivative of k**5/10 - 13*k**4/6 + 50*k**3/3 - 56*k**2 + 67*k - 1. Factor b(c).
2*(c - 7)*(c - 4)*(c - 2)
Let g(i) be the second derivative of 1/12*i**3 + 0*i**2 + 3/20*i**5 + 22*i + 1/84*i**7 + 1/6*i**4 + 1/15*i**6 + 0. Suppose g(o) = 0. Calculate o.
-1, 0
Let l(i) be the second derivative of i**6/30 - i**5/2 + 17*i**4/12 - 4*i**3/3 + 101*i + 2. Factor l(h).
h*(h - 8)*(h - 1)**2
Let a(r) be the second derivative of 1/420*r**6 - 5/2*r**2 - 3*r + 1/210*r**5 + 0*r**4 + 0*r**3 + 0. Let q(x) be the first derivative of a(x). Factor q(n).
2*n**2*(n + 1)/7
Let d(i) be the first derivative of -i**3/2 + 5*i**2/4 + 60. Let d(p) = 0. Calculate p.
0, 5/3
Suppose -d + 19*a + 22 = 24*a, -d - 4*a + 20 = 0. Let l(n) be the first derivative of -8*n + 4/3*n**3 + d + 2*n**2. Factor l(t).
4*(t - 1)*(t + 2)
Let q = -27 - -29. Suppose 3*n + 5*p = 6*n - 16, q*n + 3*p + 2 = 0. Factor 6*i**n + i**3 + 3*i + 6*i**3 - 10*i**3 + 6*i**3.
3*i*(i + 1)**2
Let m be -20*11/88 - (-10 - -3). Let -3/2*t**2 - 3 + m*t = 0. What is t?
1, 2
Let z(i) be the second derivative of i**5/20 + 7*i**4/60 + i**3/15 - 11*i + 7. Factor z(m).
m*(m + 1)*(5*m + 2)/5
Factor 2/7*t**2 - 20/7*t + 32/7.
2*(t - 8)*(t - 2)/7
Let s(i) = 6*i**2 + 10*i + 9 + 0*i + 19*i + 4. Let u(w) = 3*w**2 + 15*w + 6. Let x(h) = 3*s(h) - 5*u(h). What is t in x(t) = 0?
-3, -1
Let z = 118/3 - 1415/36. Let c(g) be the third derivative of z*g**4 + 0 - 3*g**2 + 0*g + 1/3*g**3 + 1/540*g**6 - 1/54*g**5. Factor c(t).
2*(t - 3)**2*(t + 1)/9
Suppose 13*x - 40 = 3*x. Suppose 7 = k + 3, -x = 2*h - 2*k. Let -12/5*q**3 - 36/5*q**4 + 12/5*q + 44/5*q**h - 8/5 = 0. What is q?
-1, -2/3, 1/3, 1
Determine h so that -4/5*h**4 + 12/5 + 32/5*h**2 + 6/5*h**3 - 1/5*h**5 + 7*h = 0.
-4, -1, 3
Factor -n**3 + 15*n**3 - n**4 - 50*n**3 - 3*n**4.
-4*n**3*(n + 9)
Let z(p) be the third derivative of -1/80*p**6 + 2*p**2 + 3/32*p**4 - 1/8*p**3 + 0 - 1/40*p**5 - 1/448*p**8 + 0*p + 3/280*p**7. Find w, given that z(w) = 0.
-1, 1
Let g be -15*(-4)/80 - (-7)/(-9). Let f = g - -121/36. Fac