.
-1, 0
Let f = -22 - -17. Let x = f + 5. What is d in x + 2/7*d**3 + 2/7*d**2 + 0*d = 0?
-1, 0
Let p(f) = 10*f**2 + 4*f + 7*f**2 - 5*f. Let r(s) = -4*s**2. Let i be 3*(-2 - -1)*-3. Let d(j) = i*r(j) + 2*p(j). Factor d(u).
-2*u*(u + 1)
Determine n, given that -7*n - 3/4*n**4 + 7/4*n**3 + 5/2*n**2 + 2 = 0.
-2, 1/3, 2
Let x be ((4/(-11))/2)/((-12)/132). Factor -4/3*i - 1/3*i**x - 4/3.
-(i + 2)**2/3
Determine m, given that 1/4*m**3 + 1/2 - 1/4*m - 1/2*m**2 = 0.
-1, 1, 2
Let o = 1449/17 + -48344/561. Let p = -3/11 - o. Suppose 0 + p*i**4 - 2/3*i**3 - 2/3*i**2 + 2/3*i = 0. What is i?
-1, 0, 1
Let v(h) = -h**3 - 1. Let t(w) = 2*w**4 + 6*w**2 - 1 - 1 + 5*w**3 - 8*w + 9*w**3. Let r(i) = -t(i) - 6*v(i). Determine g, given that r(g) = 0.
-2, -1, 1
Let y(h) be the third derivative of h**7/280 + h**6/120 - h**5/60 - 15*h**2. Suppose y(f) = 0. What is f?
-2, 0, 2/3
Let b = -2 + 4. Suppose 0 = m - 0 - b. Find n, given that 0*n**2 - 4 - n**2 + 0*n**m - 4*n = 0.
-2
Let n = -14 + 12. Let q be (6/(-8))/(3/n). Find t, given that -1/4*t**3 + 0*t**2 + q*t**4 + 0*t + 0 - 1/4*t**5 = 0.
0, 1
Let m(j) = -36*j**4 - 30*j**3 - 17*j**2 - 11*j - 11. Let a(r) = -18*r**4 - 15*r**3 - 9*r**2 - 6*r - 6. Let c(v) = -11*a(v) + 6*m(v). Let c(s) = 0. What is s?
-1/2, -1/3, 0
Let y(x) be the third derivative of x**7/900 - x**6/200 + x**5/150 - x**4/12 + x**2. Let z(v) be the second derivative of y(v). Find s, given that z(s) = 0.
2/7, 1
Let n(j) = j + 4. Let z = -3 + 0. Let l be n(z). Factor 2*x - 4*x + 2*x**2 + l - x**2.
(x - 1)**2
Let i(v) = 10*v**4 - 22*v**3 + 28*v**2 - 16. Let z(x) = 3*x**4 - 7*x**3 + 9*x**2 - 5. Let b(q) = 5*i(q) - 16*z(q). Factor b(y).
2*y**2*(y - 1)*(y + 2)
Let m(t) be the third derivative of t**7/1680 + t**6/960 - t**5/120 - t**4/48 + t**2. Solve m(p) = 0.
-2, -1, 0, 2
Let s(j) be the first derivative of -4/3*j**3 + 0*j**4 + 0*j**2 + 0*j - 3 - 1/240*j**5 + 1/720*j**6. Let l(g) be the third derivative of s(g). Factor l(c).
c*(c - 1)/2
Let x = -3/7 + 19/28. Let j(s) be the first derivative of 0*s + 2 - 1/8*s**4 + 1/3*s**3 - x*s**2. Factor j(m).
-m*(m - 1)**2/2
Let n = -207 - -209. Factor 0 + 1/2*s**n + 0*s.
s**2/2
Let t(a) = -3*a**4 + 12*a**3 - 6*a**2 - 12*a + 3. Let z(n) = n**3 - n**2 - n. Let f(l) = -t(l) + 6*z(l). Solve f(o) = 0 for o.
-1, 1
Suppose -2*y = v - 344, -3*y - 3*v + 523 = 2*v. Let k = 1199/7 - y. Factor k*m**4 + 6/7*m**3 + 2/7*m + 0 + 6/7*m**2.
2*m*(m + 1)**3/7
Let f be (0 + (-6)/(-9))*(-3 + 6). Suppose -1/5 - 1/5*l**f - 2/5*l = 0. Calculate l.
-1
Let j(d) be the second derivative of 0*d**2 + 0 - 1/30*d**4 - 2/15*d**3 - 4*d. Let j(x) = 0. What is x?
-2, 0
Let r(w) be the third derivative of -w**5/270 + w**4/36 - 11*w**2. Factor r(v).
-2*v*(v - 3)/9
Suppose 10*a - 12 = 6*a. Let u be (16/(-4))/((-9)/a). Determine f so that 1/3*f**2 + 4/3 + u*f = 0.
-2
Let w(f) be the third derivative of 0*f - 1/12*f**4 - 1/30*f**5 + 0 + 0*f**3 + 2*f**2 - 1/240*f**6. Suppose w(k) = 0. What is k?
-2, 0
Suppose -13*s + 33*s = 9*s. Factor 0*b**2 - 2/5*b**3 + 0*b + s.
-2*b**3/5
Let c(h) be the third derivative of -h**7/2520 + h**6/720 + h**5/60 + h**4/12 + 3*h**2. Let y(g) be the second derivative of c(g). Factor y(q).
-(q - 2)*(q + 1)
Let m(b) = 5*b - 7. Let o be m(-5). Let q = -95/3 - o. Let -q*p**4 - 1/3*p + 0 + 1/3*p**2 + 1/3*p**3 = 0. Calculate p.
-1, 0, 1
Let h be (-238)/240 + 0 + 1. Let a(y) be the third derivative of 0 - 1/24*y**4 + 0*y + 1/6*y**3 - 1/60*y**5 + h*y**6 - 3*y**2. Determine k, given that a(k) = 0.
-1, 1
Let r = -13280/3 - -4503. Factor -12 + 52*j - r*j**2 + 130/3*j**3 - 25/3*j**4.
-(j - 2)**2*(5*j - 3)**2/3
Let m(d) be the second derivative of -d**7/315 - 7*d**6/225 - d**5/15 + d**4/5 + 3*d**3/5 - 9*d**2/5 + 9*d. Solve m(t) = 0 for t.
-3, 1
Let r(g) be the third derivative of -g**6/240 - g**5/40 + g**4/48 + g**3/4 - 2*g**2. Determine x so that r(x) = 0.
-3, -1, 1
Let m(s) be the third derivative of -s**8/1008 + 2*s**7/315 - s**6/72 + s**5/90 - 7*s**2. Find u, given that m(u) = 0.
0, 1, 2
Let q(a) = -15*a**3 - 15*a**2 + 8*a. Let v(b) = 5*b**3 + 5*b**2 - 3*b. Let t(s) = 3*q(s) + 8*v(s). Determine o, given that t(o) = 0.
-1, 0
Let m(s) be the second derivative of -2*s + 0*s**2 + 0 - 1/35*s**5 + 1/21*s**4 + 0*s**3. Determine y so that m(y) = 0.
0, 1
Let y(s) be the second derivative of 1/9*s**4 - 1/18*s**3 + 0*s**2 + 0 + 2*s. Find z such that y(z) = 0.
0, 1/4
Suppose 0 = -2*y - 3*b + 6, 5*y + 3 - 7 = -2*b. Factor -2/11*g - 4/11*g**2 + y + 2/11*g**5 + 0*g**3 + 4/11*g**4.
2*g*(g - 1)*(g + 1)**3/11
What is w in -5*w - 10*w**2 - 4*w - 6 + 6*w**2 + w**2 = 0?
-2, -1
Let u = -1 + 3. Let v(p) = 6*p**u - p**2 + p**2 + 3 + 9*p. Let b(x) = 3*x**2 + 4*x + 1. Let h(c) = -5*b(c) + 2*v(c). What is k in h(k) = 0?
-1, 1/3
Suppose 0 = -n - 5*t - 11, -3*n = -t + 6*t + 3. Factor 4*u**5 + 0*u**3 - 6*u**5 - 2*u**3 + 4*u**n.
-2*u**3*(u - 1)**2
Let j(i) be the first derivative of -i**7/126 + i**6/45 - i**4/18 + i**3/18 - 3*i + 3. Let o(a) be the first derivative of j(a). Factor o(x).
-x*(x - 1)**3*(x + 1)/3
Let j(w) = -36*w**2 - 36*w - 3. Let n(b) = -71*b**2 - 73*b - 7. Let m(s) = 5*j(s) - 3*n(s). Factor m(k).
3*(k + 1)*(11*k + 2)
Suppose o = -1 + 3. Solve 1 + 2*s**o - 3 - 2*s + s**3 + 0 + s**3 = 0.
-1, 1
Let u(w) be the third derivative of w**5/15 + 4*w**4/3 + 32*w**3/3 + 6*w**2. Find g, given that u(g) = 0.
-4
Let c(h) = -41*h**5 + 77*h**4 - 40*h**3 - 4*h**2 + 8. Let o(i) = i**5 - i**3 - i**2 + 1. Let d(s) = 5*c(s) - 40*o(s). Determine n, given that d(n) = 0.
0, 2/7, 1
Let m be ((-144)/26)/(-3) + 6/39. Determine r, given that 1/4*r**m + 0 + 0*r = 0.
0
Let s(n) = -n**2 + 7*n - 6. Let b be s(5). Suppose 0 = -4*l + 2*q + 12, -b*l = 5*q + 1 + 1. Factor 0*f + 1/6*f**l - 1/6.
(f - 1)*(f + 1)/6
Determine q so that 0 - 8/17*q**2 - 2/17*q**5 + 0*q - 16/17*q**3 - 10/17*q**4 = 0.
-2, -1, 0
Let d be (-1)/(-3) + (-1748)/(-48). Let u = 37 - d. Find y such that 3/4*y**2 + 0 + u*y**4 - 1/4*y - 3/4*y**3 = 0.
0, 1
Let d(w) be the third derivative of -w**6/60 - w**5/6 - 2*w**4/3 - 4*w**3/3 - w**2. Factor d(i).
-2*(i + 1)*(i + 2)**2
Let x(p) = 98*p**4 + 179*p**3 + 91*p**2 + 41*p - 17. Let d(y) = 33*y**4 + 60*y**3 + 30*y**2 + 14*y - 6. Let w(h) = -17*d(h) + 6*x(h). Factor w(j).
j*(3*j + 2)**3
Let l = 6 + 0. Let d be 6/4*8/l. What is j in -2*j**2 - j**d + 7*j**2 - 2 + 2*j = 0?
-1, 1/2
Let i + 0 - 1/5*i**2 = 0. Calculate i.
0, 5
Let q(c) be the first derivative of -c**5/50 - c**4/30 + 3*c + 1. Let k(g) be the first derivative of q(g). Factor k(s).
-2*s**2*(s + 1)/5
Let f(a) be the third derivative of 5*a**8/1008 + a**7/63 - a**5/18 - 5*a**4/72 + 19*a**2. Solve f(s) = 0.
-1, 0, 1
Suppose 6*z - 10*z = -8. Let b(g) be the first derivative of g**3 - 3 - 1/2*g**z - 2*g. What is r in b(r) = 0?
-2/3, 1
Let x be ((-2)/(-4))/((-2)/(-12)). Suppose -x*m + p + 3*p + 18 = 0, 0 = p + 3. Factor -2*u**4 - 3*u**3 + 7*u**5 + m*u**3 - 4*u**5.
u**3*(u - 1)*(3*u + 1)
Let c(n) be the first derivative of 0*n - 8/21*n**3 + 1 + 1/7*n**2. Factor c(d).
-2*d*(4*d - 1)/7
Factor -2/3 - 2/3*r**2 - 4/3*r.
-2*(r + 1)**2/3
Suppose -2*z - 2*d - 72 = 8, 4*z + d = -166. Let c be (z/49)/(18/(-28)). Factor c*n**2 - 2/3 + 2/3*n.
2*(n + 1)*(2*n - 1)/3
Let t(p) = 3*p**3 + p**2. Let k be t(1). Solve -30 + 2*q + 2*q**3 + 30 + k*q**2 = 0 for q.
-1, 0
Let m(g) = g**3 - 3*g**2 - 5*g + 7. Let n be m(4). Let q(i) be the first derivative of 4/15*i**n + 0*i + 2/25*i**5 - 3 - 3/10*i**4 + 0*i**2. Factor q(k).
2*k**2*(k - 2)*(k - 1)/5
Let k(l) be the second derivative of 3*l**5/20 - 7*l**3/18 - l**2/3 - 4*l. Factor k(r).
(r - 1)*(3*r + 1)*(3*r + 2)/3
Let p(c) = c**3 - 2*c**2 - 2*c - 3. Let f(d) = 4*d**3 - 9*d**2 - 8*d - 13. Let w(g) = 6*f(g) - 26*p(g). Suppose w(q) = 0. What is q?
-2, 0, 1
Suppose f + 4 = 0, -5*m + 2*f = -f - 7. Let t = m - -4. Let -8/5 + 0*i + 2/5*i**t + 6/5*i**2 = 0. What is i?
-2, 1
Let v(m) be the first derivative of -m**5/70 - m**4/14 - m**3/7 - m**2/7 + 2*m - 2. Let t(f) be the first derivative of v(f). Factor t(z).
-2*(z + 1)**3/7
Let q(u) be the third derivative of -1/4*u**4 - 1/30*u**5 + 0 + 2*u**2 + 0*u**3 + 0*u. Suppose q(l) = 0. Calculate l.
-3, 0
Let w(g) be the second derivative of 0 - g - 3/20*g**5 + 1/6*g**4 + 0*g**3 + 0*g**2 + 1/30*g**6. Factor w(v).
v**2*(v - 2)*(v - 1)
Let s(w) be the first derivative of -w*