, 2/5, 1
Let h = 43 + 7. Let t = -249/5 + h. Factor 0*z**2 - 2/5*z**3 + 0*z**4 + 0 + t*z + 1/5*z**5.
z*(z - 1)**2*(z + 1)**2/5
Suppose 0 = -0*i + i - 1. Let s be (i/(-3))/((-5)/45). Factor -j + 5*j**s - j - 3*j**3.
2*j*(j - 1)*(j + 1)
Let w = 1352/813 - -1/271. Factor 3*v + w*v**3 + 4*v**2 + 2/3.
(v + 1)**2*(5*v + 2)/3
Let n(x) be the first derivative of -x**4/4 + 2*x**3/3 - x**2/2 - 2. Determine t, given that n(t) = 0.
0, 1
Let w = -4 + 7. Let p be (-2)/(-15) - 368/(-138). Solve -w*c**4 + 2/5*c**3 + p*c**2 + 1/5 - 9/5*c**5 + 7/5*c = 0.
-1, -1/3, 1
Let t(d) = 24*d + 146. Let n be t(-6). Factor 1/2*m**5 + m + 1/2*m**n + 0 - 1/2*m**4 - 3/2*m**3.
m*(m - 2)*(m - 1)*(m + 1)**2/2
Let k(b) = 8*b**4 - 13*b**3 - 12*b**2 - 3*b + 3. Let x(i) = -i**4 + i**3 - i**2 + i - 1. Let d(z) = k(z) + 3*x(z). Suppose d(p) = 0. What is p?
-1, 0, 3
Suppose -2*w - 12 = 5*y + 4, -2*y = -5*w + 18. Suppose w*z**2 + 2*z - 3*z + z = 0. What is z?
0
Let b(p) be the third derivative of 1/12*p**3 - 1/32*p**4 - 1/80*p**5 - 5*p**2 + 0 + 0*p + 7/480*p**6 - 1/280*p**7. Factor b(q).
-(q - 1)**3*(3*q + 2)/4
Let i(b) = -b**2 + 7*b. Let g be i(5). Suppose g*u - 6*u = 12. Let 4/5*s - 18/5*s**2 + 0 - 4/5*s**u + 18/5*s**4 = 0. Calculate s.
-1, 0, 2/9, 1
Suppose 13*u = 14*u - 2. Determine y so that -1/5*y + 1/5*y**u - 2/5 = 0.
-1, 2
Factor 0*v - 1/3*v**2 + 0.
-v**2/3
Let b be ((-5)/12)/((-4)/16). Let i = -18 + 56/3. Factor -i*l**2 + 0 - 4*l**4 + 0*l - b*l**5 - 3*l**3.
-l**2*(l + 1)**2*(5*l + 2)/3
Let n(l) = l + 3. Let h be n(-3). Let o be 3 - (-2)/((-16)/(-4))*-2. Find x, given that 0 + 0*x + 2/7*x**3 + h*x**o = 0.
0
Suppose 10 = 5*c + 10. Factor 1/3*u + u**2 + c + 1/3*u**4 + u**3.
u*(u + 1)**3/3
Suppose -10/11*q + 2/11*q**2 + 2/11*q**3 + 6/11 = 0. Calculate q.
-3, 1
Suppose -4*s - 8 = -5*w - 3, s = w. Factor 3*r**3 - 4*r**2 + r - r - w*r**3.
-2*r**2*(r + 2)
Let g(y) be the first derivative of -1/25*y**5 + 1/10*y**2 - 1/20*y**4 - 5 + 0*y + 1/15*y**3. Factor g(k).
-k*(k - 1)*(k + 1)**2/5
Let r = 310/39 + -99/13. Factor 4/3*g**3 + 4/3*g**2 + r*g**4 + 0 + 0*g.
g**2*(g + 2)**2/3
Let y(h) be the first derivative of -h**5/15 + 2*h**3/3 - h**2 + 6. Let j(p) be the second derivative of y(p). Factor j(i).
-4*(i - 1)*(i + 1)
Factor 1/8*s**5 + 0 + 1/4*s - 3/8*s**3 - 1/8*s**2 + 1/8*s**4.
s*(s - 1)**2*(s + 1)*(s + 2)/8
Let p be 2/(-3) - (-1 + 0). Let q be 28 - -9 - 2/(-6). Solve q*a**3 - p - 20*a**2 + 13/3*a - 64/3*a**4 = 0 for a.
1/4, 1
Let z(r) be the first derivative of -r**5/10 + r**3/6 - 4. Factor z(h).
-h**2*(h - 1)*(h + 1)/2
Let m(x) be the second derivative of -x**4/48 + x**3/24 + x**2/4 + 7*x. Factor m(t).
-(t - 2)*(t + 1)/4
Factor -3/2*c**3 + 0 + 2*c**2 + 1/2*c**5 - c**4 + 2*c.
c*(c - 2)**2*(c + 1)**2/2
Let t(v) be the first derivative of -v**9/10584 + v**7/980 - v**6/630 + 5*v**3/3 - 3. Let l(q) be the third derivative of t(q). What is x in l(x) = 0?
-2, 0, 1
Let k(o) = 14*o**5 - 12*o**4 - 14*o**3 - 12*o**2 - 12. Let u(j) = -j**5 + j**4 + j**3 + j**2 + 1. Let d(c) = k(c) + 12*u(c). Find z, given that d(z) = 0.
-1, 0, 1
Let f = -7 - -6. Let d = 3 - f. Factor 1/3*r**2 + r**d + 0 + 0*r - 1/3*r**5 - r**3.
-r**2*(r - 1)**3/3
Suppose 0 = -4*n - 2*n + 18. Let w(r) be the first derivative of 0*r - 2/5*r**5 + 2/3*r**3 + 0*r**4 + 0*r**2 - n. What is y in w(y) = 0?
-1, 0, 1
Let b(r) = -4*r**2 + 2*r + 2. Let x be b(0). Determine s, given that -1/2*s**3 + 0 + s - 1/2*s**x = 0.
-2, 0, 1
Suppose -11*x + 6*x + 10 = 0. Let l(p) be the first derivative of 0*p**x - 1/15*p**5 + 0*p**4 + 1/9*p**3 + 0*p + 1. Factor l(i).
-i**2*(i - 1)*(i + 1)/3
Let i(n) be the second derivative of -3*n**6/40 - 3*n**5/16 - n**4/8 + 2*n. Factor i(w).
-3*w**2*(w + 1)*(3*w + 2)/4
Let r(u) be the second derivative of -u**5/40 + 5*u. Let r(q) = 0. Calculate q.
0
Let t(j) be the first derivative of 5 - 2/3*j - 2/9*j**3 + 2/3*j**2. Suppose t(x) = 0. Calculate x.
1
Determine n, given that -3/4*n**3 + 3/2*n**2 - n + 0 + 1/8*n**4 = 0.
0, 2
What is v in 0 - 4 - 2*v + v**2 + 4 = 0?
0, 2
Factor 30*w - 150 - 3/2*w**2.
-3*(w - 10)**2/2
Let i(d) = d**3 + 2*d**2 - 2*d - 11. Let h be i(-5). Let x be (-1)/7 - h/140. Solve 0*m + 0 + x*m**2 = 0 for m.
0
Suppose -8*z + 13 = -3*z + b, b = -4*z + 11. Find i such that 1/2*i**5 - 5/6*i**4 + 0*i + 0 + 1/6*i**z + 1/6*i**3 = 0.
-1/3, 0, 1
Let s = -93 - -97. Let f = 136/95 - 12/19. Determine a, given that -2/5*a**s + 0*a**2 + 2/5 + 4/5*a - f*a**3 = 0.
-1, 1
Let m(c) = c**2 + 3*c + 2. Let j be m(-2). Suppose j*y - 3*y + 6 = 0. Factor y*z + 7*z**2 + 1 - 1 + 0.
z*(7*z + 2)
Let m = 121/30 - 38/15. Suppose 3/2*c - 3*c**2 + m = 0. What is c?
-1/2, 1
Suppose 0 = -2*f - 3*f + 15. Let b(j) be the first derivative of -2/7*j**f + 0*j**2 - 2 + 1/14*j**4 + 8/7*j. Find i, given that b(i) = 0.
-1, 2
Let u(q) = 2*q**4 - 3*q**3 - 5*q**2 + 10*q - 4. Let p(r) = -r**3 + r**2. Let g(v) = -p(v) + u(v). Factor g(w).
2*(w - 1)**3*(w + 2)
Let v = -1 - -2. Let d(g) = 173*g**3 + 4*g**2 + 2*g**4 - 92*g**3 - 87*g**3. Let r(h) = h**3 - h**2. Let q(z) = v*d(z) + 2*r(z). Factor q(k).
2*k**2*(k - 1)**2
Let b(t) = -t**4 + t**3 - t**2 - 1. Let d(f) = 8*f**4 - 6*f**3 - 3*f**2 - 1. Let i(o) = -2*b(o) + 2*d(o). Factor i(w).
2*w**2*(w - 1)*(9*w + 2)
Let x(a) be the first derivative of -a**4 + 2*a - 6/5*a**5 + 3*a**2 + 4/3*a**3 - 1/3*a**6 - 5. Determine j, given that x(j) = 0.
-1, 1
Let t(a) be the first derivative of 18/5*a**4 + 3/5*a + 27/25*a**5 + 22/5*a**3 - 1 + 12/5*a**2. Let t(f) = 0. What is f?
-1, -1/3
Let b be (-44)/140 - (-9)/15. Factor 6/7*w - b*w**2 - 4/7.
-2*(w - 2)*(w - 1)/7
Let g = -17972/21 + 856. Let t(y) be the first derivative of 2/21*y**6 - 2/5*y**5 + 4/7*y**4 - 2 - g*y**3 + 2/7*y - 2/7*y**2. Determine u, given that t(u) = 0.
-1/2, 1
Let o(g) = -7*g**2 + 7*g - 5. Let x be 9 + (-2 - (4 - 3)). Let h(n) = -4*n**2 + 4*n - 3. Let l(q) = x*o(q) - 10*h(q). Let l(j) = 0. Calculate j.
0, 1
Determine l, given that -2/3*l + 0 - 1/3*l**2 = 0.
-2, 0
Suppose 5*q - 21 = -3*h, -17 = 5*h - 9*h - 3*q. Factor -2/11 - 2/11*d**3 - 6/11*d - 6/11*d**h.
-2*(d + 1)**3/11
Let s(y) be the second derivative of -y**9/45360 - y**8/10080 - y**7/7560 - y**4/6 + 3*y. Let l(j) be the third derivative of s(j). Let l(c) = 0. Calculate c.
-1, 0
Let z(f) = 5*f**4 + 15*f**3 - 40*f**2 - 5*f + 5. Let o(l) = 5*l**4 + 16*l**3 - 40*l**2 - 6*l + 6. Let h(j) = -5*o(j) + 6*z(j). Suppose h(n) = 0. What is n?
-4, 0, 2
Let r(h) = h**3 + 5*h**2 + 13*h + 9. Let t(f) = -2*f**3 - 6*f**2 - 14*f - 10. Let o(x) = 4*r(x) + 3*t(x). Factor o(i).
-2*(i - 3)*(i + 1)**2
Factor 4 + 2*b**2 - b + 4*b - 5*b - 4*b.
2*(b - 2)*(b - 1)
Let x = -121 + 123. Factor 2/11*p**x - 2/11 + 0*p.
2*(p - 1)*(p + 1)/11
Let x(d) = 2*d**3 - d**4 - d**2 - 3*d**2 - d**3 + 6*d**3 + 5 - 7*d. Let n(v) = v**3 - v**2 - v + 1. Let h(m) = 5*n(m) - x(m). Find b such that h(b) = 0.
-1, 0, 1, 2
Let o(l) be the second derivative of -l**7/210 - l**6/180 + 2*l**3/3 + 3*l. Let f(x) be the second derivative of o(x). What is r in f(r) = 0?
-1/2, 0
Let l(m) = m**2 + 1. Let v(k) = 3*k + 9. Let f(r) = -3*l(r) + v(r). Let f(h) = 0. What is h?
-1, 2
Suppose 0*q = 3*q - 6*q. Let d(i) be the second derivative of -1/120*i**6 + 0*i**2 + 1/48*i**4 + 2*i + 1/40*i**5 - 1/12*i**3 + q. Let d(o) = 0. What is o?
-1, 0, 1, 2
Let q be 1*2/(-2)*-3. Factor -11*w**q + 6 + 9*w + 22*w**3 - 14*w**3.
-3*(w - 2)*(w + 1)**2
Let f(i) be the first derivative of 0*i + 3 - 1/7*i**3 + 0*i**2 - 3/28*i**4. Factor f(r).
-3*r**2*(r + 1)/7
Let g be (36 - (4 - 2))*(-4)/(-20). Let 8/5*m**5 + 48/5*m**3 + 4/5*m + 0 + g*m**4 + 26/5*m**2 = 0. What is m?
-2, -1, -1/4, 0
Let u(b) = b**3 + 7*b**2 - 11*b - 24. Let t be u(-8). Factor t*o**3 + 2/5*o**4 + 2/5 - 4/5*o**2 + 0*o.
2*(o - 1)**2*(o + 1)**2/5
Let n(x) be the first derivative of x**6/14 - 3*x**5/35 - 3*x**4/7 + 4*x**3/7 + 26. Find w, given that n(w) = 0.
-2, 0, 1, 2
Factor 0*c - 1/3*c**3 + 0 + c**2 + 1/3*c**5 - c**4.
c**2*(c - 3)*(c - 1)*(c + 1)/3
Let n be ((-32)/(-56))/((-1)/(-7)). Let a(f) be the first derivative of -2 - 2*f + 7/4*f**4 + 3/2*f**2 + n*f**3. Solve a(h) = 0.
-1, 2/7
Let x = -2 + -2. Let t be 4/18 - x/9. Factor 0*p - t*p**2 + 2/3.
-2*(p - 1)*(p + 1)/3
Factor 2/3*q**3 + 1/3*q**4 + 1/3*q**2 + 0*q + 0.
q**2*(q + 1)**2/3
Let g(i) = -i**5 + i**3 + i**2 + i + 1. Let n(z) = 20*z**5 - 20*z**4 - 4*z**2 - 4*z -