/80 + u**4/48 + 6*u**2. Find z such that j(z) = 0.
-2/3, 0
Let x(c) = c**3 - 5*c**2 - 8*c + 7. Let i(o) = -2*o**3 + 4*o**2 + 7*o - 6. Let l(k) = -7*i(k) - 6*x(k). Solve l(v) = 0 for v.
-1/2, 0, 1/4
Let j(d) be the first derivative of -1/5*d**5 + 0*d**2 + 0*d + 0*d**4 - 4 + 1/3*d**6 + 0*d**3. Factor j(v).
v**4*(2*v - 1)
Let y(l) be the second derivative of l**4/4 - 5*l**3 + 75*l**2/2 + 9*l. Solve y(n) = 0.
5
What is u in 0 + 207/7*u**3 - 96/7*u**2 - 12*u**5 + 12/7*u - 39/7*u**4 = 0?
-2, 0, 1/4, 2/7, 1
Let k = 797 + -795. Factor -2/5*q**k - 2/5 - 4/5*q.
-2*(q + 1)**2/5
Factor 22/9*m**2 - 16/9*m - 2/3.
2*(m - 1)*(11*m + 3)/9
Let w(h) be the third derivative of h**5/60 - h**4/24 - 5*h**2. Factor w(f).
f*(f - 1)
Suppose -4*p = -2*p + 24. Let h be ((-3)/p)/(1/4). Factor -2*u**2 - 1 + 2*u + h.
-2*u*(u - 1)
Let a(w) = -5*w**2 - 10*w. Let k(h) = -h. Let u(s) = -a(s) - 5*k(s). Find b such that u(b) = 0.
-3, 0
Suppose 4*a - 18 = -5*x + 2*a, -4*x = -3*a + 4. Factor -2/5*t + 4/5*t**x + 6/5*t**3 + 0.
2*t*(t + 1)*(3*t - 1)/5
Suppose 4*q - 20 = -5*p, 7*q - 4*q - 15 = -2*p. Let g be (-6 - -2) + 1 - -2 - -3. Determine n, given that p - 2/7*n - 2/7*n**g + 2/7*n**3 + 2/7*n**4 = 0.
-1, 0, 1
Factor 0 + 1/3*o**2 - 2*o.
o*(o - 6)/3
Suppose -10 = z - 3*z, -5*s + 5*z = 10. Suppose -6*u + 4 = -2*u + 2*d, -5*d = 10. Solve b**2 + 0 + 0 - 6*b**s - 2*b**5 + b**u + 6*b**4 = 0 for b.
0, 1
Let 3/2*d**3 + 0*d**2 - 3/4*d**5 + 0 - 3/4*d**4 + 0*d = 0. What is d?
-2, 0, 1
Suppose 50*p = 45*p. Let c(f) be the second derivative of 1/24*f**4 + p + 0*f**3 + 0*f**2 + 3*f. Factor c(j).
j**2/2
What is g in -6/7*g**4 + 8/7*g**3 + 0*g + 0 + 8/7*g**2 = 0?
-2/3, 0, 2
Determine h so that -4/3*h + 6*h**3 + 0 - 14/3*h**5 - 10/3*h**4 + 10/3*h**2 = 0.
-1, 0, 2/7, 1
Suppose 2*x = -2*w - 2*x + 28, -w + 4*x - 10 = 0. Determine n so that 16*n**2 + w + 9*n - 4*n**2 - 36*n = 0.
1/4, 2
Let d(r) be the third derivative of -r**6/180 + 13*r**5/90 - 4*r**4/3 + 4*r**3 + 22*r**2. Factor d(t).
-2*(t - 6)**2*(t - 1)/3
Let s(o) = o**2 - o. Let w(n) = 3*n**2 - 4*n. Let v(c) = -4*s(c) + 2*w(c). Determine k, given that v(k) = 0.
0, 2
Solve -360*h**3 + 244*h**2 + 16 - 7*h**4 + 122*h**4 - 15*h**4 + 144*h = 0.
-1/5, 2
Let i(a) = -a**2 - 1. Let y be i(-1). Let j be (-1 + 2)/(y/(-12)). Factor -4*w - 3*w**2 - 1 + w**2 + j*w + w**2.
-(w - 1)**2
Let x(n) be the first derivative of 1/6*n**3 - 1/2*n - 1/8*n**4 + 1/4*n**2 - 4. Determine a, given that x(a) = 0.
-1, 1
Let o(j) be the third derivative of -j**2 + 0 + 0*j - 1/210*j**7 + 0*j**5 + 0*j**3 - 1/120*j**6 + 0*j**4. Determine m so that o(m) = 0.
-1, 0
Let a(m) be the second derivative of m**6/10 + 3*m**5/10 + 13*m. Suppose a(r) = 0. Calculate r.
-2, 0
Let p(x) be the first derivative of 1/3*x**3 - 2*x**2 + 4*x + 9. Determine j so that p(j) = 0.
2
Suppose 0 = 2*d - 3*d + 9. Suppose -d + 3 = -2*y. Determine o, given that -2/5*o**2 + 0 + 1/5*o**y + 1/5*o = 0.
0, 1
Let p(g) = -3*g**2 + 18*g - 22. Let o(f) = -5*f**2 + 35*f - 45. Let w(s) = 2*o(s) - 5*p(s). Suppose w(j) = 0. Calculate j.
2
Let f(m) = m**2 + 19*m - 4. Let u be f(-19). Let c be u/6 + (-66)/(-18). Solve 0 + 2/3*v**2 - 1/3*v**c - 1/3*v = 0.
0, 1
Suppose j + 5*i + 8 = 0, -j - i = -3*i - 6. Determine w, given that -4*w + 2 + 2*w**2 - w**j + w**2 = 0.
1
Let p(n) be the first derivative of n**4/18 + 2*n**3/9 + n**2/3 + 2*n/9 - 3. Factor p(q).
2*(q + 1)**3/9
Suppose 0 = 5*d - 22 + 2. Suppose 0*x = x - d. Let 11*s**3 - 10*s**3 + s**2 - 4 + x = 0. What is s?
-1, 0
Find u, given that -2*u**4 + 0 - 4/5*u + 18/5*u**2 + 12/5*u**3 = 0.
-1, 0, 1/5, 2
Suppose 6*k - 2 = 4*k. Let l = k - -3. Factor -3*z + 3*z**2 - 2*z**2 - l*z**2.
-3*z*(z + 1)
Let h(u) be the third derivative of 3*u**2 + 0 - 1/24*u**3 + 1/120*u**5 + 0*u**4 + 0*u**6 + 0*u - 1/840*u**7. Let h(j) = 0. What is j?
-1, 1
Find d, given that -57*d**4 + 21*d - 17*d**2 + 117*d**3 - 78*d**2 + 6*d**5 + 8*d**2 = 0.
0, 1/2, 1, 7
Let q(c) be the second derivative of 1/3*c**2 + 1/6*c**3 + 2*c + 1/36*c**4 + 0. Factor q(v).
(v + 1)*(v + 2)/3
Suppose 13*o - 19 = 20. Factor -2/9*h**4 + 0 - 2/9*h - 2/3*h**2 - 2/3*h**o.
-2*h*(h + 1)**3/9
Let v(d) be the first derivative of -d**6/120 - d**5/60 + d**4/24 + d**3/6 + 3*d**2 + 2. Let h(p) be the second derivative of v(p). Suppose h(q) = 0. What is q?
-1, 1
Solve -3/7 + 3/7*o**2 - 3/7*o**3 + 3/7*o = 0.
-1, 1
Let z(k) be the second derivative of k**7/350 - k**6/100 + k**5/100 + 3*k**2/2 - 2*k. Let q(b) be the first derivative of z(b). Find n, given that q(n) = 0.
0, 1
Let z(y) be the third derivative of -y**5/360 + y**4/72 + 2*y**3/9 + 5*y**2. Factor z(g).
-(g - 4)*(g + 2)/6
Let q be 48/(-42)*1029/(-14). Solve q*r**2 + 4*r**4 - 36*r - 72 - 100/3*r**3 = 0 for r.
-2/3, 3
Let s = -6 - -7. Suppose 5*r - 21 = -s. Let -8*y**3 - 12*y**2 + 1 - 8*y - 4*y**r - 2*y**4 - 3 + 4*y**4 = 0. Calculate y.
-1
Let r(x) = -2*x**3 - 4*x**2 + x + 3. Let a = -3 - -13. Let w(h) = -4*h**3 - 8*h**2 + h + 5. Let u(t) = a*r(t) - 6*w(t). What is l in u(l) = 0?
-1, 0
Let j(y) be the second derivative of -y**4/60 - y**3/10 - 9*y. Find f, given that j(f) = 0.
-3, 0
Let v(o) be the second derivative of o**5/35 - 5*o**4/21 + 4*o**3/7 + 36*o. Solve v(i) = 0.
0, 2, 3
Let p(o) = -2*o + 7. Let h be p(9). Let f = h + 14. Let 5*t**3 - 2*t**3 - 2*t + 0*t - t**f = 0. What is t?
-1, 0, 1
Suppose 2 = -z + 5. Let b(y) be the third derivative of 0*y + 1/3*y**z + 0 + 2*y**2 - 1/30*y**5 + 1/12*y**4 - 1/60*y**6. Let b(d) = 0. Calculate d.
-1, 1
Let k(f) be the second derivative of -f**8/1280 + 3*f**7/1120 - f**6/480 - f**4/3 + 4*f. Let b(m) be the third derivative of k(m). Find r, given that b(r) = 0.
0, 2/7, 1
Let w be 3 + ((-22)/(-30))/(3/(-9)). Factor -w*t**3 - 2/5*t**5 + 6/5*t + 2/5 - 6/5*t**4 + 4/5*t**2.
-2*(t - 1)*(t + 1)**4/5
Let r be -1 - (-2 + 35/(-77)). Determine f, given that 12/11*f + 18/11 - r*f**2 - 12/11*f**3 - 2/11*f**4 = 0.
-3, -1, 1
Let a(x) = x**4 - x**3 - x**2. Let k(q) = 4*q**4 - 9*q**3 - 11*q**2 - 4*q - 1. Let v(t) = 10*a(t) - 2*k(t). Solve v(f) = 0 for f.
-1
Let v(h) be the third derivative of -h**6/1620 - h**5/540 + 7*h**3/6 + 8*h**2. Let b(o) be the first derivative of v(o). Solve b(r) = 0.
-1, 0
Let v(d) be the first derivative of 2*d**5 + 3*d**4/2 - 14*d**3/3 - 3*d**2 + 4*d - 9. Let v(h) = 0. What is h?
-1, 2/5, 1
Factor -3*f**3 - 4*f**3 - 3*f**4 - 18*f**5 + 15*f**5 - 2*f**2 - 5*f**4.
-f**2*(f + 1)**2*(3*f + 2)
Let z(u) = -u + 2. Let w be z(2). Let s be -3 + 4 - (w + -1). Find g such that s - 2 - 8*g**2 - 6*g + 2 = 0.
-1, 1/4
Suppose 0 = -4*k - k + 20. Let x(d) be the third derivative of -d**2 - 1/30*d**5 + 0*d + 0*d**3 + 0 - 1/12*d**k. Factor x(h).
-2*h*(h + 1)
Let p(r) = -3*r. Let a be p(-1). What is x in 5*x**3 + x**3 - 3*x**5 + 6*x**2 - x + 4 - 4*x**4 - 6 - 2*x**a = 0?
-1, 2/3, 1
Let a be 2/13 - (-6)/(-39). Let q(z) be the first derivative of a*z**3 + 0*z + 1 - 1/2*z**4 + z**2. Factor q(c).
-2*c*(c - 1)*(c + 1)
Suppose -11*n = -6*n - 10. Factor 1/5*o**n + 1/5 + 2/5*o.
(o + 1)**2/5
Let z(o) = -o**5 + o**3 + 2*o**2 - 2. Let p(q) = 2*q**5 - 2*q**3 - 5*q**2 + 5. Let b = 5 - 3. Suppose -i + 3 = -b. Let y(v) = i*z(v) + 2*p(v). Factor y(g).
-g**3*(g - 1)*(g + 1)
Factor 2/19*o**2 + 18/19 + 12/19*o.
2*(o + 3)**2/19
Let h(k) be the first derivative of 2*k**6/5 - 21*k**5/25 + 3*k**4/10 + k**3/5 + 12. Determine t, given that h(t) = 0.
-1/4, 0, 1
Let z(j) be the third derivative of -j**6/120 - j**5/20 + j**3/3 - j**2. Let p(f) be the first derivative of z(f). Factor p(q).
-3*q*(q + 2)
Let z(g) = -g**3 - g + 5. Let k be z(0). Suppose 3*v + k*t + 10 = 0, 5*v + 2 = -t - 0*t. Factor 4 - 6*d - 12*d + v + 14*d**2.
2*(d - 1)*(7*d - 2)
Let y(b) be the third derivative of b**6/360 - b**5/120 + 2*b**3/3 + 6*b**2. Let m(d) be the first derivative of y(d). Factor m(p).
p*(p - 1)
Let y(k) be the third derivative of -k**6/40 - 3*k**5/20 - k**4/4 - 7*k**2. Let y(u) = 0. What is u?
-2, -1, 0
Let u be 20/(-25) - 48/(-10). Find x such that -18*x**4 + 18*x**4 + u*x**3 - 2*x - 2*x**5 = 0.
-1, 0, 1
Let g(o) be the first derivative of 4*o**4/9 - 4*o**3/3 + 3*o**2/2 + 4*o + 6. Let l(t) be the first derivative of g(t). Let l(r) = 0. What is r?
3/4
Let l(t) be the third derivative of t**7/195 + 29*t**6/390 + 64*t**5/195 + 8*t**4/39 - 42*t**2. Factor l(h).
2*h*(h + 4)**2*(7*h + 2)/13
Suppose 3*s