 -3/52 - -125/364. Let v(x) be the first derivative of -1/14*x**4 - n*x**2 + 1 + 2/7*x**3 + 0*x. Factor v(l).
-2*l*(l - 2)*(l - 1)/7
Let h(k) be the third derivative of k**6/90 - 4*k**5/45 + 5*k**4/18 - 4*k**3/9 - 10*k**2. Determine y so that h(y) = 0.
1, 2
Let z = -8 - -23. Let m = z - 43/3. Determine d so that 8/3*d - m*d**2 - 8/3 = 0.
2
What is b in -1/6*b**3 - 1/6*b**4 + 0 + 1/6*b**2 + 1/6*b = 0?
-1, 0, 1
Let z be 0*-3*2/(-6). Let t = z - 0. Factor -5*d**4 + 13*d**4 - 2*d**3 + t*d**3 - 4*d**3 + 2 - 10*d**2 + 6*d.
2*(d - 1)**2*(d + 1)*(4*d + 1)
Let l(g) be the second derivative of -2*g**6/75 + g**5/25 + 4*g**4/15 - 8*g**3/15 - 3*g. Solve l(v) = 0 for v.
-2, 0, 1, 2
Let l(i) be the second derivative of 1/1440*i**6 + 0*i**2 + 0*i**4 + 3*i + 0 - 1/480*i**5 + 1/2*i**3. Let h(n) be the second derivative of l(n). Factor h(s).
s*(s - 1)/4
Suppose 0 + 1/2*z**2 + 1/4*z - 1/4*z**5 - 1/2*z**4 + 0*z**3 = 0. What is z?
-1, 0, 1
Let f = 2 - -5. Suppose f*a**2 + 6*a**3 - 49 - 3*a**4 + 5*a**2 + 40 - 6*a = 0. Calculate a.
-1, 1, 3
Let u be 16/6*(-18)/(-1). Suppose u = -0*a + 3*a. Let -r**4 + 16 - a = 0. Calculate r.
0
Let m(d) = 4*d**5 + 4*d**4 - 6*d**3 - 6*d**2 + 2*d + 2. Let w(y) = y**5 + y**4 - y - 1. Let s(k) = m(k) - w(k). Factor s(v).
3*(v - 1)**2*(v + 1)**3
Suppose -3 = -8*z + 7*z. Find h such that -2/5 - 2/5*h**z + 2/5*h**2 + 2/5*h = 0.
-1, 1
Let g(i) be the third derivative of -i**6/900 - 2*i**5/225 - i**4/45 - 6*i**2. Factor g(h).
-2*h*(h + 2)**2/15
Let m(o) be the second derivative of 27*o**5/200 - 9*o**4/8 + 15*o**3/4 - 25*o**2/4 + 5*o. Let m(c) = 0. Calculate c.
5/3
Suppose -9 = 4*y + 3*k, 4*k + 3 = -3*y - 9. Suppose y = -p + 2 + 2. Determine l, given that 26/3*l**2 + 2/3*l**4 - 8*l + 8/3 - p*l**3 = 0.
1, 2
Let f(i) be the second derivative of i**5/4 - 5*i**4/6 + 5*i**3/6 - 20*i. Solve f(v) = 0.
0, 1
Let m be (-2 - (-18)/4)*(-60)/(-375). Let a(h) be the second derivative of 1/15*h**3 - 3*h + 0 - 1/30*h**4 + m*h**2. Suppose a(w) = 0. What is w?
-1, 2
Let q be 6/(1/3*-2). Let r = 14 + q. Suppose -r*z - 2 + 1 + 3 + z + 2*z**2 = 0. Calculate z.
1
Suppose -10 = 3*t - 7. Let n be (20/16)/(t/(-4)). Factor -2*x**3 + 6*x**2 - 5*x**2 - n*x**2 - 10*x**5 + 16*x**4.
-2*x**2*(x - 1)**2*(5*x + 2)
Let j(p) be the third derivative of -p**2 - 1/18*p**3 + 0 - 1/180*p**5 + 0*p - 1/36*p**4. Suppose j(y) = 0. Calculate y.
-1
Let v(s) be the third derivative of -5*s**2 - 1/12*s**4 - 1/30*s**5 - 1/9*s**3 + 0*s - 1/180*s**6 + 0. Find r such that v(r) = 0.
-1
Let t(c) = 8*c**2 - 2*c. Let q(x) = 9*x**2 - 3*x. Let s(y) = 5*q(y) - 6*t(y). Factor s(u).
-3*u*(u + 1)
Let b(j) be the second derivative of j**5/4 - 5*j**4/3 + 10*j**3/3 - 5*j. Solve b(x) = 0.
0, 2
Let m(d) be the third derivative of 1/24*d**3 + 0 + 1/32*d**4 + 1/480*d**6 - 2*d**2 + 1/80*d**5 + 0*d. Solve m(r) = 0 for r.
-1
Let m(c) be the second derivative of c**5/20 - c**4/12 + 2*c. What is n in m(n) = 0?
0, 1
Suppose -3*y + 5 = -4. Find h, given that -12*h**2 - 26*h + 24 - 5*h + y*h = 0.
-3, 2/3
Let f be (1/2)/((-30)/(-20)). Factor 1/3*d**3 + 0 - 1/3*d**2 - f*d + 1/3*d**4.
d*(d - 1)*(d + 1)**2/3
Solve -6*w + 7 - 2 + 16*w + 2*w**3 + 8*w**2 - 1 = 0.
-2, -1
Let q(c) = 16*c. Let b be q(1). Let j be (12/(-8))/((-6)/b). Factor j*h - 2*h**3 + 4 - 2*h + 0*h**3 - 4*h**2.
-2*(h - 1)*(h + 1)*(h + 2)
Let x(g) be the first derivative of -2*g**3/27 + 11*g**2/9 - 6. Factor x(w).
-2*w*(w - 11)/9
Factor 3*a - 4*a + 2*a**4 + 0*a + 0*a + 3*a**3.
a*(a + 1)**2*(2*a - 1)
Let z be 46/207 + 641/153 + -3. Suppose 2/17*q**5 + 0 - z*q**2 - 12/17*q**4 + 8/17*q + 26/17*q**3 = 0. What is q?
0, 1, 2
Let m(b) be the second derivative of 0 + 0*b**3 - 7/90*b**6 + 0*b**2 + b + 1/18*b**4 + 1/12*b**5. Determine w so that m(w) = 0.
-2/7, 0, 1
Let m(l) = -l**3 + 3*l**2 - 2*l + 4. Let j be m(2). Factor -2/11*a**j + 0*a**2 + 4/11*a + 2/11 - 4/11*a**3.
-2*(a - 1)*(a + 1)**3/11
Let w(a) be the second derivative of a**5/100 - a**3/10 + a**2/5 - 10*a. Factor w(v).
(v - 1)**2*(v + 2)/5
Let g(j) be the second derivative of -j**7/42 - j**6/15 + j**5/20 + j**4/6 + 6*j. Factor g(x).
-x**2*(x - 1)*(x + 1)*(x + 2)
Factor 4*h**2 - 5*h + 5*h + 8*h.
4*h*(h + 2)
Suppose 0*h = 3*h - 4*t - 10, 0 = -4*h - 3*t + 5. Factor 9 - 9 - h*y**2 - 2*y.
-2*y*(y + 1)
Factor -2/3*u**2 + 6*u - 16/3.
-2*(u - 8)*(u - 1)/3
Let -2/9*x**2 + 10/9*x + 0 = 0. What is x?
0, 5
Let j(m) be the third derivative of m**7/840 - m**3/3 + 4*m**2. Let w(b) be the first derivative of j(b). Factor w(z).
z**3
Let k(t) be the first derivative of t**3/3 + 5*t**2/2 + 7. Determine h, given that k(h) = 0.
-5, 0
Suppose -y + 5*u = -5, 4*u = 4*y - u - 95. Let f be (y/(-4))/(-5)*2. Factor 4*w + 2*w - 8 + f*w - w - 2*w**2.
-2*(w - 2)**2
Factor 6/7*p**3 - 10/7*p**2 + 2/7*p + 2/7.
2*(p - 1)**2*(3*p + 1)/7
Let b(s) be the second derivative of -s**7/840 + s**6/180 - s**5/120 + 2*s**3/3 + s. Let v(k) be the second derivative of b(k). Factor v(q).
-q*(q - 1)**2
Suppose 6 = m - z - 0*z, 4*m - 4 = -z. Let p(s) be the second derivative of 1/3*s**m - 2/9*s**3 + 2*s + 0 + 1/18*s**4. Find u such that p(u) = 0.
1
Let a be (-36)/(-20) - (-2)/10. Determine t so that -7*t**2 + t**3 + 5*t**2 + 5*t**a = 0.
-3, 0
Let a(s) be the second derivative of 10*s + 1/5*s**5 - 1/4*s**4 - 3/2*s**3 + 0 - s**2. Solve a(i) = 0 for i.
-1, -1/4, 2
Let n = -18 - -35. Let m = -9 + n. Let b(v) = -2*v**4 - 2*v**3 + 2*v**2 + 2*v - 8. Let i(t) = -1. Let z(k) = m*i(k) - b(k). Factor z(x).
2*x*(x - 1)*(x + 1)**2
Let n(b) = b**2 + b + 1. Let l be 1 + 7 - (4 - 1). Let i(r) = -r**3 - 2*r**2 - 7*r - 5. Let p(y) = l*n(y) + i(y). Factor p(f).
-f*(f - 2)*(f - 1)
Let w = 698 - 2093/3. Find n such that -4/3*n - w*n**3 - 4/3*n**2 + 0 = 0.
-2, 0
Let n(w) be the first derivative of -49*w**8/192 + 7*w**7/20 - 7*w**6/40 + w**5/30 - 2*w**2 + 4. Let g(f) be the second derivative of n(f). Factor g(y).
-y**2*(7*y - 2)**3/4
Let b(c) = 6*c**5 - 2*c**4 + 4*c**2 + 4. Let x(l) = 7*l**5 - 3*l**4 + l**3 + 5*l**2 + 5. Let u(m) = -5*b(m) + 4*x(m). Let u(q) = 0. What is q?
-2, 0, 1
Suppose 0 = 3*s, 0*s + 3*s = -2*d + 6. Factor -q + q**d - 4*q**2 + q + 3*q**2.
q**2*(q - 1)
Let k be 38/(-42) + (-5)/(-1) + -4. Let z(f) be the first derivative of k*f**3 - 1 + 1/7*f**2 + 0*f - 1/14*f**4 - 2/35*f**5. Solve z(u) = 0 for u.
-1, 0, 1
Let h(x) = -x**2 + 11*x + 16. Let s be h(12). Let g be (0 + s)/(-2) - -6. Find f, given that 8/9*f**3 + 8/9*f - 4/3*f**2 - 2/9*f**g - 2/9 = 0.
1
Let s(l) be the second derivative of 2/3*l**4 + 0 - 4/15*l**6 - 2*l + 1/7*l**7 - 1/5*l**5 - 1/3*l**3 + 0*l**2. Suppose s(t) = 0. Calculate t.
-1, 0, 1/3, 1
Suppose p = 3*p - 3*g + 4, 5*g = 20. Let x be (0 - 0)*(-5 + 4). Factor 8/3*t**2 + 0 + 245/3*t**5 - 14*t**p - 12*t**3 + x*t.
t**2*(5*t + 2)*(7*t - 2)**2/3
Let h(q) = q**2 - 5*q + 4. Let c be h(5). Factor 8*y**3 - 5*y**3 - y**c + y**2 - 3*y**2.
-y**2*(y - 2)*(y - 1)
Let c = -2 - -5. Let w(x) be the second derivative of 0 - 2/5*x**4 - 1/75*x**6 + 0*x**2 - 8/15*x**c + x - 3/25*x**5. Factor w(g).
-2*g*(g + 2)**3/5
Factor -1/2*l**2 + 1 + 1/2*l.
-(l - 2)*(l + 1)/2
Let h(l) be the second derivative of l**6/180 + l**5/20 + l**4/6 - 5*l**3/6 - 2*l. Let o(t) be the second derivative of h(t). Factor o(f).
2*(f + 1)*(f + 2)
Let y be (-24)/(-6) + 0 + -2. Let -n - 2*n + y*n - 4*n**3 + 5*n = 0. Calculate n.
-1, 0, 1
Let u = 4061/9 + -451. Find g such that 0*g**2 - 8/9*g + 0 + u*g**3 = 0.
-2, 0, 2
Suppose 4*g + 3*f = 9, -5*f + 3*f = -6. Determine n, given that -3/2*n + g + 1/2*n**2 = 0.
0, 3
Let g(q) be the third derivative of q**9/211680 + q**8/70560 - q**7/8820 - q**5/10 + 7*q**2. Let o(h) be the third derivative of g(h). Factor o(p).
2*p*(p - 1)*(p + 2)/7
Let l(k) be the second derivative of k**7/126 - k**6/45 + k**4/18 - k**3/18 - 11*k. What is u in l(u) = 0?
-1, 0, 1
Let o = 2 - -1. Suppose n = o + 1, 3*n = 4*a + 12. Solve -2/7*m**3 - 2/7*m + 4/7*m**2 + a = 0 for m.
0, 1
Let j(l) be the second derivative of -l**5/40 - l**4/24 + l**3/6 + 14*l. Factor j(a).
-a*(a - 1)*(a + 2)/2
Let y be 1/(-5)*(-4 - (-4)/6). Factor -2/3*p + 0 + y*p**2.
2*p*(p - 1)/3
Let d(c) = -5*c**3 - c**2 - c - 1. Let v be d(-1). Factor -4*x - x**4 - 1 + x**2 - v*x**3 - x**2 - 6*x**2.
-(x + 1)**4
Suppose 0 = -4*t + 2*t. Suppose 12 = 4*b - t*b. What is o in -5*o**3 + 9*o**4 - 42*o**5 - 3*o**b + 31*o**4 = 0