- -2). Let h(a) = q*k(a) - 18*w(a). Factor h(j).
-2*j*(3*j + 2)
Let s(d) be the third derivative of -d**4/24 + 13*d**3/6 - 4*d**2. Let t be s(11). Suppose 6/7*p**4 + 0 + 2/7*p**t + 10/7*p**3 - 2/7*p = 0. Calculate p.
-1, 0, 1/3
Let i(l) be the second derivative of 0 + 0*l**3 + 0*l**5 - 1/8*l**2 - 1/120*l**6 + 5*l + 1/24*l**4. Find a such that i(a) = 0.
-1, 1
Factor 3/8*l**2 - 33/4*l + 363/8.
3*(l - 11)**2/8
Let g = -139/3 - -47. Let p(k) be the second derivative of k**2 + 1/6*k**4 - g*k**3 + k + 0. Factor p(d).
2*(d - 1)**2
Let v = 64/15 - 13/5. Solve x**3 + 4/3*x**4 - x - v*x**2 + 1/3 = 0 for x.
-1, 1/4, 1
Let l(z) be the third derivative of 1/12*z**4 + 0*z - 1/60*z**6 + 0 - 2*z**2 + 1/30*z**5 - 1/3*z**3. Factor l(f).
-2*(f - 1)**2*(f + 1)
Let r(i) be the third derivative of -i**8/504 + 4*i**7/315 - i**6/45 + 10*i**2. Find b such that r(b) = 0.
0, 2
Let f = 116 - 578/5. Determine w so that 6/5*w**2 + f*w**3 + 6/5*w + 2/5 = 0.
-1
Let o(n) = -n**4 + 7*n**3 + 5*n**2 + 5*n + 4. Let p(x) = -2*x**4 + 15*x**3 + 9*x**2 + 10*x + 9. Let y(j) = -9*o(j) + 4*p(j). Let y(z) = 0. Calculate z.
-1, 0, 5
Let u(b) be the third derivative of -b**5/120 - b**4/8 - 2*b**3/3 - 33*b**2. Find o, given that u(o) = 0.
-4, -2
Suppose 6/7*s**3 + 0 + 16/7*s**2 - 2/7*s**5 + 8/7*s - 4/7*s**4 = 0. Calculate s.
-2, -1, 0, 2
Let d(a) = a**3 + 8*a**2 + 7*a + 2. Let p be d(-7). What is h in h**2 + 0*h**2 + 0*h**p = 0?
0
Let y(m) = -3*m**3 + 2*m - 2. Let i(v) = 10*v**3 - v**2 - 7*v + 7. Let s(k) = 2*i(k) + 7*y(k). Factor s(p).
-p**2*(p + 2)
Suppose 0 = -8*w + 3*w - 20. Let h(g) = -g**3 + g. Let i(k) = 4*k**4 - 25*k**3 + 37*k**2 - 20*k + 4. Let q(u) = w*h(u) + i(u). What is l in q(l) = 0?
1/4, 1, 2
Find f, given that 12/7 - 4*f - 4/7*f**3 + 20/7*f**2 = 0.
1, 3
Let i(l) = l**3 + 2*l**2 + l + 4. Let q(h) = -2*h**3 - h**2 - 2*h - 5. Let f(x) = 5*i(x) + 4*q(x). Find w such that f(w) = 0.
0, 1
Let r be 5/(-77) - 6*(-1)/14. Let 2/11*y**5 - r*y**3 + 0*y**2 + 2/11*y + 0 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Factor -6/11*j**3 + 2/11*j - 8/11*j**2 + 4/11.
-2*(j + 1)**2*(3*j - 2)/11
Let g(s) be the first derivative of -s**5/20 - s**4/16 + s**3/4 + s**2/8 - s/2 - 5. Find c such that g(c) = 0.
-2, -1, 1
Let o(h) = 4*h + 32. Let p be o(-8). Let c(n) be the second derivative of 0 + 1/20*n**5 + 1/12*n**4 + 0*n**3 - 4*n + p*n**2. What is z in c(z) = 0?
-1, 0
Let l(n) = 895*n**2 + 240*n + 16. Let s(c) = 4476*c**2 + 1200*c + 80. Let x(b) = -24*l(b) + 5*s(b). Factor x(q).
4*(15*q + 2)**2
Let d(a) = a. Let w be d(6). Factor -12*j + w*j**2 + 2 + 1 + 12*j**3 - 15*j**2 + 6*j**2.
3*(j - 1)*(j + 1)*(4*j - 1)
Let c be (3 - 1)*(3 + -2). Find a, given that -5*a - 3*a**2 + 5*a**2 - 5*a**2 + 0*a**c + 2 = 0.
-2, 1/3
Factor -4/13*a**4 + 0*a**3 + 0*a + 0 + 0*a**2 - 2/13*a**5.
-2*a**4*(a + 2)/13
Let u(k) be the third derivative of -k**5/210 + k**4/42 - 7*k**2. Factor u(i).
-2*i*(i - 2)/7
Let h(k) = 13*k**2 + 9*k - 16. Let w(u) = -3*u**2 - 2*u + 4. Let l(n) = -4*h(n) - 18*w(n). Factor l(d).
2*(d - 2)*(d + 2)
Let b be 10/9*6/5. Factor 1/3*q**2 + 0 + q**4 + 0*q - b*q**3.
q**2*(q - 1)*(3*q - 1)/3
Let i be (36/(-72))/(-1 - (2 - 1)). Factor i*b**3 - 1/4*b - 1/4*b**2 + 1/4.
(b - 1)**2*(b + 1)/4
Let a(l) = -l**4 + 3*l**3 + 2*l**2 - 4*l - 5. Let s(i) = -i**2 + i + 1. Let k(z) = 2*a(z) + 10*s(z). Solve k(p) = 0.
0, 1
Let m(v) = -21*v**3 + 51*v**2 - 128*v - 13. Let d(o) = -10*o**3 + 26*o**2 - 64*o - 6. Let f(b) = 13*d(b) - 6*m(b). Factor f(a).
-4*a*(a - 4)**2
Let n(r) be the first derivative of 0*r + 3 - 1/16*r**4 + 1/6*r**3 + 3/8*r**2. Factor n(l).
-l*(l - 3)*(l + 1)/4
Let h(a) = a**2 - 3*a + 3. Let o be h(3). Let c(l) be the second derivative of 0*l**2 + 1/18*l**4 + 1/18*l**o + 0 + 2*l + 1/60*l**5. Factor c(i).
i*(i + 1)**2/3
Let s(c) = 4*c + 55. Let p be s(-13). Find o such that 0*o + 0 - 2/5*o**p - 2/5*o**2 = 0.
-1, 0
Find g such that -4*g**2 - 1 + 0 + 5*g**2 + 0 = 0.
-1, 1
Suppose 3*i + 0 - 18 = 0. Let m be (-6)/(-3) - i/4. Factor 0*r - 1/2*r**5 - m*r**4 + 0*r**3 + 0 + 0*r**2.
-r**4*(r + 1)/2
Let c be 36/120*(-4)/(-6). Suppose 2/5 + t + 4/5*t**2 + c*t**3 = 0. Calculate t.
-2, -1
Let o(f) be the third derivative of -f**8/112 - 3*f**7/70 - 3*f**6/40 - f**5/20 - 10*f**2. Factor o(z).
-3*z**2*(z + 1)**3
Let z = 684 + -681. Factor 1/2*p**2 + 1/2*p**z + 0*p + 0 + 1/8*p**4.
p**2*(p + 2)**2/8
Let v be 28/(-48)*2/(-35)*1. Let a(g) be the third derivative of 0*g + 0*g**3 - 4/21*g**7 - v*g**5 + 0*g**4 - 3*g**2 + 3/20*g**6 + 0. Factor a(s).
-2*s**2*(4*s - 1)*(5*s - 1)
Let b(w) be the second derivative of -w**5/20 + 2*w**4/3 - 13*w**3/6 + 3*w**2 - 2*w. Factor b(q).
-(q - 6)*(q - 1)**2
Let w(g) = -3*g**3 - g**2 - 9*g - 9. Let c be w(-1). Factor 2/9 + 7/9*o + 8/9*o**c + 2/9*o**3 - 2/9*o**4 - 1/9*o**5.
-(o - 2)*(o + 1)**4/9
Let s(o) be the second derivative of o**5/4 - 10*o**3/3 + 16*o. Let s(c) = 0. What is c?
-2, 0, 2
Let m(x) be the first derivative of -2/3*x**2 - x**4 + 0*x - 3 - 16/9*x**3. Solve m(l) = 0 for l.
-1, -1/3, 0
Let s(c) be the third derivative of c**6/220 + c**5/66 + c**4/66 + 19*c**2. Let s(w) = 0. What is w?
-1, -2/3, 0
Let p be (-4)/14 + (6916/(-490))/(-13). Let g be 2/(-4) + (-9)/(-10). Factor g + 2/5*d**2 - p*d.
2*(d - 1)**2/5
Suppose -3/7*c - 6/7*c**2 - 3/7*c**3 + 0 = 0. Calculate c.
-1, 0
Factor 1/3*k + 0 + 1/3*k**2.
k*(k + 1)/3
Find f such that 4*f**2 + f**3 + 6*f**3 + f**3 + 0*f**3 + 4*f**4 = 0.
-1, 0
Suppose 0 = 3*t - 12, -7*z + 25 = -2*z + 5*t. Let y = z + 1. Solve -4*w**3 - w**y - w**2 - 3*w**3 = 0.
-2/7, 0
Let d be 2 + 7 + -4 - (-13)/(-5). Solve -d*o**4 - 18/5*o**2 + 3/5*o + 0 + 27/5*o**3 = 0.
0, 1/4, 1
Let l(t) be the first derivative of -t**4/14 + 15. What is k in l(k) = 0?
0
Let x = 66 + -42. Factor -10*c**4 + 36*c**2 + 13*c**4 - 22*c**3 + 4*c**3 - x*c.
3*c*(c - 2)**3
Let h(g) = g - 4. Let d be h(4). Let o be 1*d*(-3)/9. Determine q so that 0*q + 2*q**3 + 2*q**2 + o*q = 0.
-1, 0
Let l(t) be the first derivative of 2*t**3 - 3*t**2 + 3*t/2 + 5. Factor l(o).
3*(2*o - 1)**2/2
Let b = 1/3 - 0. Suppose -1/3*j - b*j**2 + 0 = 0. What is j?
-1, 0
Let h(q) be the first derivative of -q**6/15 + q**5/10 + q**4/6 - q**3/3 - q - 1. Let t(f) be the first derivative of h(f). Factor t(g).
-2*g*(g - 1)**2*(g + 1)
Let y(a) = 8*a**2 + 2*a - 6. Let s(x) = 7*x**2 + 2*x - 5. Suppose 3*w + 10 = 5*n - w, 2*n + 3*w - 27 = 0. Let r(b) = n*y(b) - 7*s(b). Factor r(c).
-(c + 1)**2
Suppose 12 = -20*p + 72. Let b be (1 - 3) + -3 + 7. Factor 1/2 + 3/2*d**p + 7/2*d**b + 5/2*d.
(d + 1)**2*(3*d + 1)/2
Factor 0 - m**2 + 2/3*m + 1/3*m**4 + 0*m**3.
m*(m - 1)**2*(m + 2)/3
Let a(l) be the first derivative of -5*l**6/4 + 12*l**5/5 + 3*l**4/2 - 5*l**3 + 3*l**2/4 + 3*l + 51. Let a(g) = 0. Calculate g.
-1, -2/5, 1
Let b(j) = -2*j - 2. Let c be b(4). Let m be (-3)/2*c/15. Suppose 1/2*v**2 + 1/2*v - m = 0. What is v?
-2, 1
Let h(o) be the second derivative of -o**7/210 + o**6/120 + o**5/60 - o**4/24 + 3*o**2/2 - 3*o. Let l(k) be the first derivative of h(k). Factor l(f).
-f*(f - 1)**2*(f + 1)
Let j(i) = i**4 - 2*i**3 - 3*i**2 + 4. Let a(t) = -6*t**4 + 15*t**3 + 21*t**2 - 27. Let c(r) = 4*a(r) + 27*j(r). What is w in c(w) = 0?
-1, 0
Suppose 11*j = 7*j + 16. What is a in -1/2*a**3 + 2 - j*a + 5/2*a**2 = 0?
1, 2
Let y be -3 + (15 - 1 - 2). Let w be (6 - y)*2/(-6). Factor -n + 1/4*n**2 + w.
(n - 2)**2/4
Let q(t) be the third derivative of t**8/50400 + t**7/6300 + t**5/30 - t**2. Let b(h) be the third derivative of q(h). Solve b(v) = 0 for v.
-2, 0
Let w(a) = a**2 + 5*a. Let k(b) = -2*b**2 - 9*b. Let i be -1 + 1 - 20/(-4). Let h(q) = i*w(q) + 3*k(q). Let h(j) = 0. What is j?
-2, 0
Let s(r) be the second derivative of 3*r**5/8 + 13*r**4/24 - r**3/6 - 29*r. Factor s(l).
l*(l + 1)*(15*l - 2)/2
Let o(u) = 5*u**3 + 3*u**2 - 5*u + 3. Let a(b) = 4*b**3 + 2*b**2 - 4*b + 2. Let c(k) = 3*a(k) - 2*o(k). Factor c(y).
2*y*(y - 1)*(y + 1)
Suppose 5*p = -2*h + 8 + 7, 3*p - 2*h = 25. Factor 2*k**3 + 3*k**4 - 2*k + 2*k**2 - k**3 - 5*k**2 + k**p.
k*(k - 1)*(k + 1)**2*(k + 2)
Let o(a) be the second derivative of 2*a**6/15 - a**5/5 - a**4/3 + 2*a**3/3 + 9*a. Factor o(u).
4*u*(u - 1)**2*(u + 1)
Determine x so that -14 - 2*x + x**3 + 14 + x**2 = 0.
-2, 0, 1
Let g(k) be the second derivative of 5/126*k**7 + 0*k**3 + k + 1/45*k**6 + 0 + 0*k**2 - 1/12*k**5 - 1/18*k**4. Let g(u)