 + 25*o**4 + 7*o**3 - 3*o + 3. Let f(h) = -12*h**5 + 26*h**4 + 8*h**3 - 4*h + 4. Let p(v) = 3*f(v) - 4*m(v). Suppose p(j) = 0. Calculate j.
-1/6, 0, 2
Factor -5/3*m**2 - 1 - 1/3*m**3 - 7/3*m.
-(m + 1)**2*(m + 3)/3
Let p(n) = 3*n**3 + 12*n**2 + 9*n - 18. Let c(x) = 1. Let q(u) = 18*c(u) + p(u). Suppose q(i) = 0. Calculate i.
-3, -1, 0
Factor -1 - 1/2*a**2 + 3/2*a.
-(a - 2)*(a - 1)/2
Let f(i) be the first derivative of 3*i**6/2 + 47*i**5/5 + 91*i**4/4 + 27*i**3 + 16*i**2 + 4*i + 34. Find b, given that f(b) = 0.
-2, -1, -2/9
Let o(g) be the first derivative of 2*g**6/3 + 4*g**5/5 + 6. Factor o(k).
4*k**4*(k + 1)
Factor 0 + 2/3*g**2 + 2*g.
2*g*(g + 3)/3
Let d be 4/8 - (-18)/(-4). Let p be 306/315 + d/10. Let -2/7*t + 2/7*t**2 + p*t**3 + 0 = 0. What is t?
-1, 0, 1/2
Let l(t) be the second derivative of -t**7/1400 - t**6/600 + 3*t**4/4 - 4*t. Let n(i) be the third derivative of l(i). Factor n(c).
-3*c*(3*c + 2)/5
Let n be (-1)/(-2)*20/2. Suppose 2*l - t + 21 = 4*t, -t = n*l - 15. Suppose -3*v**l - 4*v**2 - 4*v + 5*v**2 = 0. What is v?
-2, 0
Let t(k) be the second derivative of -k**8/840 + k**7/525 - k**2/2 - 5*k. Let s(j) be the first derivative of t(j). Factor s(f).
-2*f**4*(f - 1)/5
Let w be (-1)/4 + (-65)/(-20). Suppose -2*k + 1 = -w. Find o such that 4/5*o + 14/5*o**5 + 46/5*o**4 + 26/5*o**k + 0 + 54/5*o**3 = 0.
-1, -2/7, 0
Let d(r) be the first derivative of -r**6/39 - 4*r**5/65 + 2*r**4/13 + 4*r**3/39 - 3*r**2/13 - 27. Suppose d(y) = 0. What is y?
-3, -1, 0, 1
Let t(u) be the first derivative of -2*u**3/3 + 2*u**2 - 2*u + 5. Let z(s) = s**2 - s. Let v(l) = t(l) + 4*z(l). Suppose v(j) = 0. Calculate j.
-1, 1
Let v(s) be the third derivative of -s**9/45360 - s**4/24 - 3*s**2. Let p(h) be the second derivative of v(h). Factor p(n).
-n**4/3
Let v(b) = b**2 - 8*b - 9. Let j(y) = 2*y + 2. Let x(g) = 18*j(g) + 4*v(g). Find w such that x(w) = 0.
-1, 0
Suppose 5*j - 5*a = 20, -j - 4*j + 20 = a. Suppose -3*z + 4*z + 3*n = -4, -2*n - j = 0. Suppose -z*g - g + g + 2*g**2 = 0. Calculate g.
0, 1
Let m(n) be the second derivative of 1/60*n**6 - 1/4*n**2 - 1/6*n**3 + 0*n**4 + 1/20*n**5 - n + 0. Factor m(t).
(t - 1)*(t + 1)**3/2
Suppose -x + 18 = 2*x. Let j(u) = -u**3 + 5*u**2 + 8*u - 8. Let c be j(x). What is k in -c*k + 0*k + 6*k + k**2 = 0?
-2, 0
Let d(p) be the third derivative of -p**5/6 + 7*p**4/12 - 2*p**3/3 - 13*p**2. Let d(h) = 0. What is h?
2/5, 1
Let j = 6 + -4. Let 0*c + 4*c + 2 + 0*c**2 + 2*c**j = 0. What is c?
-1
Solve 0 + 2/5*l + 2/5*l**2 = 0.
-1, 0
Let o(s) be the first derivative of -s**2 + 4/3*s**3 + 1/2*s**4 - 4*s - 1. Determine c, given that o(c) = 0.
-2, -1, 1
Let a(v) = v + 11. Let n be a(-9). Factor b**5 - 2*b**3 + 16*b**3 + b**5 - 6*b**n - 10*b**4.
2*b**2*(b - 3)*(b - 1)**2
Factor -1/5*k - 9/5*k**2 + 1/5 - 4/5*k**4 - 11/5*k**3.
-(k + 1)**3*(4*k - 1)/5
Let v = 551/63 + -55/7. Suppose 8/9*n + v + 2/9*n**2 = 0. Calculate n.
-2
Suppose 0 = -3*j + 4*i - i + 3, -9 = -j - i. Let u(w) be the first derivative of 1/8*w**2 + 1 + 0*w - 1/6*w**3 + 0*w**4 + 1/10*w**j - 1/24*w**6. Factor u(c).
-c*(c - 1)**3*(c + 1)/4
Let u(k) be the first derivative of k**6/105 - k**5/35 + k**4/42 + 5*k - 7. Let j(v) be the first derivative of u(v). Factor j(a).
2*a**2*(a - 1)**2/7
Let f be (1/7)/(1/2). Let h = 0 - -4. Determine m so that -2/7*m**5 - f*m**h + 0 + 0*m**3 + 0*m**2 + 0*m = 0.
-1, 0
Suppose 5 = -j - 3*u, 0 = 2*u + 5 + 1. Let 4*x**5 + 2*x**4 - 2*x**4 + 0*x**j - 4*x**3 = 0. What is x?
-1, 0, 1
What is r in 4/5*r - 2*r**4 - 14/5*r**2 + 18/5*r**3 + 0 + 2/5*r**5 = 0?
0, 1, 2
Let l = 466552 - 109639992/235. Let j = 2/47 - l. Solve 0*y**2 + 4/5 - j*y + 2/5*y**3 = 0.
-2, 1
Let s = -63 - -66. Let r(g) be the first derivative of 0*g**4 + 1 + 2*g + 2/5*g**5 + 0*g**2 - 4/3*g**s. What is q in r(q) = 0?
-1, 1
Determine b so that 18/5*b**2 + 54/5 + 2/5*b**3 + 54/5*b = 0.
-3
Factor -14*v**5 + 33*v**4 + 56*v**3 + 86*v**5 + 34*v**4 + 8*v**2 + 47*v**4.
2*v**2*(3*v + 2)**2*(4*v + 1)
Let w(l) be the first derivative of -2*l**3/21 + 5*l**2/7 + 12*l/7 - 2. Factor w(y).
-2*(y - 6)*(y + 1)/7
Let c be (0 - -1) + (-65)/(-50)*5. Factor c*k - 25/4*k**2 - 9/4.
-(5*k - 3)**2/4
Let r = -1 + 17. Let -r*a**4 + 4 + 10*a**2 - 20*a + 20*a**3 + 0*a**2 + 2*a**2 = 0. What is a?
-1, 1/4, 1
Find r, given that 10*r + 10*r - 22*r**2 - 8*r**3 - 19*r**2 - 4 + 28*r**4 - 12*r**5 + 17*r**2 = 0.
-1, 1/3, 1
Let o(b) be the third derivative of -2*b**7/105 - 2*b**6/15 - b**5/3 - b**4/3 + 7*b**2. Determine u, given that o(u) = 0.
-2, -1, 0
Let s = 1 - -4. Let p(r) be the first derivative of -9/4*r**4 + 2/3*r - 3 - 9/5*r**s + 5*r**3 - 17/6*r**2. Factor p(q).
-(q + 2)*(3*q - 1)**3/3
Let g(y) = 2*y - 6. Let x be g(4). Factor 8*n**2 - 3*n**2 + 5*n**x - 4*n**3 - 2*n**2.
-4*n**2*(n - 2)
Let c(r) be the third derivative of -r**8/70560 + r**7/8820 - r**6/2520 + r**5/30 - r**2. Let h(m) be the third derivative of c(m). Let h(f) = 0. Calculate f.
1
What is k in 7*k**3 + k**3 + 26*k**2 + 169*k - 7*k**3 = 0?
-13, 0
Let z(y) be the third derivative of -y**6/80 - y**5/40 + 5*y**4/16 - 3*y**3/4 + 21*y**2. Solve z(n) = 0.
-3, 1
Let z(v) be the first derivative of -v**6/12 + 3*v**5/5 - 13*v**4/8 + 2*v**3 - v**2 + 25. Factor z(s).
-s*(s - 2)**2*(s - 1)**2/2
Let l(q) = 2*q**2 - 2*q - 1. Let c be l(2). Suppose 4*w + 12 = 4*d, -4*d - 4*w + 12 = -0*d. Factor d + v**3 + v**2 - c.
v**2*(v + 1)
Let l(i) be the second derivative of -i**5/100 + i**4/60 + 11*i. Factor l(j).
-j**2*(j - 1)/5
Suppose 2*p**3 - 2*p - p**2 + 3/2 - 1/2*p**4 = 0. What is p?
-1, 1, 3
Let h(k) be the third derivative of k**8/504 - k**6/180 + 3*k**2. Factor h(q).
2*q**3*(q - 1)*(q + 1)/3
Let x(d) = d**3 + d. Let j(p) = -4*p**3 - 24*p**2 - 98*p - 128. Let q(b) = -j(b) - 2*x(b). Suppose q(z) = 0. What is z?
-4
Let c(k) be the second derivative of 0 - 1/9*k**3 + 1/36*k**4 + 1/6*k**2 + 3*k. Factor c(y).
(y - 1)**2/3
Suppose 3*l = -2*l + 25. Suppose 4*s + 2*r + 2 = 0, 4*s + 3*r + l = -2*r. Solve s*o - 2/11 + 2/11*o**2 = 0 for o.
-1, 1
Let y be -1 - (2 - -5*2). Let x = y - -19. Determine n, given that -7*n**3 + x*n**3 + 4*n - 3*n = 0.
-1, 0, 1
Let n(f) = -4*f - 15. Let b be n(-6). Let u = -7 + b. Factor 2/3 + 2/3*o**u + 4/3*o.
2*(o + 1)**2/3
Let g(f) = f - 1. Let w(p) = 2*p**4 - 2*p**3 - 2*p**2 + 6*p - 4. Let r(c) = 4*g(c) - w(c). Factor r(j).
-2*j*(j - 1)**2*(j + 1)
Let k(a) be the third derivative of a**8/3024 + a**7/945 - a**5/270 - a**4/216 - 2*a**2. Solve k(o) = 0 for o.
-1, 0, 1
Let k(y) be the first derivative of y**6/10 - 3*y**5/25 - 3*y**4/10 + 2*y**3/5 + 3*y**2/10 - 3*y/5 + 14. Factor k(w).
3*(w - 1)**3*(w + 1)**2/5
Let l(i) be the third derivative of i**7/245 - i**6/280 + i**2. Factor l(h).
3*h**3*(2*h - 1)/7
Let x(z) be the third derivative of z**8/560 + z**7/350 + z**2. Factor x(v).
3*v**4*(v + 1)/5
Let q(g) be the second derivative of g**6/90 + g**5/30 + g**4/36 + 21*g. Factor q(d).
d**2*(d + 1)**2/3
Suppose 4*u + 0 = 16. Let r(m) = 3*m**5 + 6*m**4 - m**3. Let t(n) = -4*n**4 + n**3 - 4*n**4 + 6*n**4 - 2*n**5 - 3*n**4. Let b(x) = u*t(x) + 3*r(x). Factor b(c).
c**3*(c - 1)**2
Let c(t) = -t**2 - 9*t - 14. Let u be c(-7). Factor 2/3*x**2 - 2/3*x**3 + 2/3*x + u - 2/3*x**4.
-2*x*(x - 1)*(x + 1)**2/3
Factor 2/11*b + 6/11*b**3 + 0 + 2/11*b**4 + 6/11*b**2.
2*b*(b + 1)**3/11
Let o = 5 + -3. Suppose 4*l - 3*l = o. Factor 0*y + 0 + 1/4*y**5 + 0*y**l + 1/4*y**3 - 1/2*y**4.
y**3*(y - 1)**2/4
Let a(t) be the third derivative of -1/300*t**6 + t**2 + 1/50*t**5 + 0*t**3 - 1/30*t**4 + 0*t + 0. Factor a(d).
-2*d*(d - 2)*(d - 1)/5
Suppose 5*y - 3 = -3. Suppose y + 2*j**2 - 6/7*j**3 - 4/7*j = 0. Calculate j.
0, 1/3, 2
Let r(d) = -d**3 + 2*d**2 + 2*d - 2. Let p be r(2). Let m(l) be the first derivative of 0*l - l**3 + 4 - 3/2*l**p. Let m(i) = 0. Calculate i.
-1, 0
Let d(r) = 2*r - 3*r - 3 + 1 + 3. Let f be d(-1). Solve a**2 - 4 + 2*a - a**f + 2*a**2 = 0.
-2, 1
Let v(l) be the third derivative of l**5/90 + l**4/9 - 5*l**3/9 + 2*l**2 + 7*l. Suppose v(s) = 0. What is s?
-5, 1
Let g(b) be the second derivative of b**10/30240 - b**8/6720 - b**4/4 - 3*b. Let t(f) be the third derivative of g(f). Factor t(h).
h**3*(h - 1)*(h + 1)
Let m(s) = s**3 + s**2 - s - 1. Let a(z) = -z**3 - 5*z**2 - z + 3. Let r(b) = -a(b) - 3*m(b). Find k, given that r(k) = 0.
-1, 0, 2
Let i(o) be the firs