erivative of 4 + 2*t**3 + 1/2*t**6 - 12/5*t**5 + 6*t - 15/2*t**2 + 3*t**4. Factor x(l).
3*(l - 2)*(l - 1)**3*(l + 1)
Let n(o) = -8*o**4 + 13*o**3 - 8*o**2 + 3. Let r(i) = 9*i**4 - 14*i**3 + 9*i**2 - 4. Let h(p) = 4*n(p) + 3*r(p). Determine x so that h(x) = 0.
0, 1
Let a(j) = -j**2 - 29*j - 76. Let t be a(-26). Factor 2/7*x**t + 0 + 2/7*x.
2*x*(x + 1)/7
Let r(q) be the second derivative of -q**4/48 + q**3/24 - 23*q. Determine g, given that r(g) = 0.
0, 1
Let l be -2*1/((-2)/3). Let g be 2/3*18/(24/4). Find r, given that -r**4 - l*r**4 + 0*r**3 - 2*r - r**g + 2*r**4 + 5*r**3 = 0.
-1/2, 0, 1, 2
Let j be 1 - (3 - 10*-18). Let l be j/(-84) - 1/6. Determine f so that -6/7*f + 2/7*f**l + 4/7 = 0.
1, 2
Suppose -2*s - 3*a - 2*a = 20, -5*s - 2*a = 8. Factor 3*j**4 + 5*j**4 + 18*j**3 + 2*j + s*j**4 + 12*j**2.
2*j*(j + 1)**2*(4*j + 1)
Let c = 166/3 + -55. Factor c - 1/3*k**2 + 1/3*k - 1/3*k**3.
-(k - 1)*(k + 1)**2/3
Let f(s) be the first derivative of s**7/420 - s**6/810 + s**3/3 - 1. Let q(k) be the third derivative of f(k). Find x such that q(x) = 0.
0, 2/9
Let d(x) be the third derivative of -x**7/105 - x**6/20 + x**4/3 - 16*x**2. Factor d(q).
-2*q*(q - 1)*(q + 2)**2
Let z(v) be the first derivative of v**5/420 - v**3/42 + 5*v**2/2 - 1. Let k(s) be the second derivative of z(s). Find p, given that k(p) = 0.
-1, 1
Let m = -17/13 - -103/39. Suppose m*u**4 + 0 + 1/3*u - 1/3*u**3 - 4/3*u**2 = 0. Calculate u.
-1, 0, 1/4, 1
Let p(z) = z**2 + 3*z - 4. Let b(k) = 4*k**2 + 8*k - 12. Let u(i) = 4*b(i) - 14*p(i). Find h, given that u(h) = 0.
1, 4
Let g(z) be the third derivative of -z**7/140 - z**6/16 - z**5/5 - z**4/4 + 5*z**2. Find c, given that g(c) = 0.
-2, -1, 0
Let 8/3 - 8/3*a + 2/3*a**2 = 0. What is a?
2
Factor 1/2*g**2 + 4*g + 8.
(g + 4)**2/2
Let h(f) = -4*f**3 - 3*f**2 + 8*f - 1. Let g(d) = -3*d**3 - 3*d**2 + 7*d - 1. Let z(j) = -5*g(j) + 4*h(j). Determine t so that z(t) = 0.
1
Let y(h) be the second derivative of -5*h**4/36 + 50*h**3/9 - 250*h**2/3 - 7*h. Suppose y(c) = 0. Calculate c.
10
Let q = 3472009/4669896 + 181/8664. Let b = 16/49 + q. Determine h, given that 8/11*h**2 + 8/11*h**4 + 0 + 2/11*h + b*h**3 + 2/11*h**5 = 0.
-1, 0
Let o(x) be the first derivative of -2*x**5/45 + x**4/18 + 2*x**3/27 - x**2/9 + 7. Factor o(d).
-2*d*(d - 1)**2*(d + 1)/9
Let g(h) be the third derivative of -h**8/112 + h**7/42 + h**6/60 - 3*h**2. Let g(c) = 0. Calculate c.
-1/3, 0, 2
Let m(l) be the second derivative of -l**5/30 + l**3/9 - 7*l. Solve m(b) = 0.
-1, 0, 1
Factor -11*d**3 - 1 - 7 + 7*d**3 + 8*d**2 + 4*d.
-4*(d - 2)*(d - 1)*(d + 1)
Let c be (-2)/10 - 5*4/(-100). Factor 2/7*p**3 + 4/7*p**2 + 0*p + c.
2*p**2*(p + 2)/7
Let q(r) = -r**3 - r**2 + r - 4. Let o(p) = p**3 + p**2 - p + 2. Let g(b) = -5*o(b) - 3*q(b). Factor g(i).
-2*(i - 1)*(i + 1)**2
Factor -2/3*r**2 + 2/3*r + 2/3*r**4 + 0 - 2/3*r**3.
2*r*(r - 1)**2*(r + 1)/3
Let u(m) = -m - 4. Let p be u(-4). Let b(t) = -t**3 + 11*t**2 + 12*t. Let w be b(12). Determine k, given that 2*k**4 - 16/5*k**3 + w + p*k - 8/5*k**2 = 0.
-2/5, 0, 2
Let z(x) = -2*x - 7. Let c be z(-5). Let g(y) be the first derivative of 1 + 0*y**2 + 1/3*y**c - y. Factor g(o).
(o - 1)*(o + 1)
Let n(a) be the third derivative of 0*a - 1/336*a**8 - 5*a**2 + 1/6*a**3 + 1/8*a**4 + 1/30*a**5 - 1/60*a**6 - 1/70*a**7 + 0. Factor n(m).
-(m - 1)*(m + 1)**4
Suppose -q = 2*q. Suppose q = -d - d. What is f in 2/5*f**5 - 2/5*f - 4/5*f**4 + d + 4/5*f**2 + 0*f**3 = 0?
-1, 0, 1
Let y(c) = 15*c - 19. Let r(a) = 7*a - 9. Let m(s) = 13*r(s) - 6*y(s). Let p be m(6). Suppose 2*x**2 + 6*x**4 - x**3 + 7*x**p + 2*x**5 + 0*x**5 = 0. What is x?
-1, 0
Let v(u) be the third derivative of u**8/1008 + u**7/360 + u**6/540 + 2*u**3/3 + 3*u**2. Let r(k) be the first derivative of v(k). Find c such that r(c) = 0.
-1, -2/5, 0
Let d(k) be the third derivative of k**5/60 + k**4/8 - 2*k**2. Let l be d(-4). Factor s**4 + s + 2*s**2 + s**2 - 5*s**l.
-s*(s - 1)*(2*s + 1)**2
Let x be (-1)/(40/(-12) - -3) + 3. Let u(a) be the second derivative of 0*a**4 + 1/70*a**5 + 0 + 0*a**2 + 1/147*a**7 - 3*a + 0*a**3 + 2/105*a**x. Factor u(d).
2*d**3*(d + 1)**2/7
Let s = 6 + -6. Let r be s - 1*(-1)/2. Solve -3/2*z**4 - 2*z**3 + r*z**2 + 0 + z = 0.
-1, 0, 2/3
Factor 0 + 16/11*n - 2/11*n**3 + 4/11*n**2.
-2*n*(n - 4)*(n + 2)/11
Let s(a) be the first derivative of -a**5/30 - a**4/12 + 41. Factor s(t).
-t**3*(t + 2)/6
Let p = -1 - -1. Suppose -3*n - 18 + 24 = 0. Factor -1/3*b**3 + 2/3*b**n + p - b**4 + 0*b.
-b**2*(b + 1)*(3*b - 2)/3
Let g = 77/15 - 5. Let n(i) be the first derivative of -2 + g*i**3 - 1/5*i**2 + 0*i. Factor n(a).
2*a*(a - 1)/5
Let u be (2 - 1)*4/16*0. Factor -2/7*h**4 - 2/7 + 4/7*h**2 + 0*h**3 + u*h.
-2*(h - 1)**2*(h + 1)**2/7
Let b(u) = -9*u**5 - 9*u**3 + 6*u**2 - 6*u - 6. Let q(t) = -19*t**5 - t**4 - 19*t**3 + 13*t**2 - 13*t - 13. Let n(f) = -13*b(f) + 6*q(f). Factor n(k).
3*k**3*(k - 1)**2
Suppose 5*j = 1 + 34. Let f(h) be the third derivative of 0*h**4 - 1/20*h**6 - 1/15*h**5 + h**2 + 0*h + 0 - 1/105*h**j + 0*h**3. Factor f(z).
-2*z**2*(z + 1)*(z + 2)
Let y(j) be the third derivative of -j**6/160 - j**5/80 + j**2. Factor y(t).
-3*t**2*(t + 1)/4
Let h(k) be the third derivative of -k**9/151200 + k**8/16800 - k**7/4200 + k**6/1800 - k**5/6 - k**2. Let b(f) be the third derivative of h(f). Factor b(a).
-2*(a - 1)**3/5
Let f be 8 - 4 - (-350)/(-91). Factor 0*a + 0*a**2 + 0 - 4/13*a**4 + f*a**3.
-2*a**3*(2*a - 1)/13
Factor -4 + 3*y + y**2 + 6 - 2*y - 4.
(y - 1)*(y + 2)
Let m be (183/45 + -4)*4. Let l(v) be the first derivative of -2 + m*v**3 - 1/2*v**2 + 2/5*v - 1/20*v**4. Solve l(i) = 0.
1, 2
Let i be (264/352)/((-9)/(-4)). Factor -2*o**3 - 4/3*o**4 + 0 - 4/3*o**2 - 1/3*o - i*o**5.
-o*(o + 1)**4/3
Let h(q) be the second derivative of -q**6/105 + q**5/70 + q**4/42 - q**3/21 - 2*q. Solve h(x) = 0.
-1, 0, 1
Suppose -15 = -5*n, 0 = 5*l + n + 3 - 1. Let k be (-4 - 131)*l/4. Factor 18*g + 3 + k*g**2 + 75/4*g**3.
3*(g + 1)*(5*g + 2)**2/4
Suppose -5*g - 98 = -4*g. Let j = -682/7 - g. Suppose -10/7*h**2 - j - 2*h = 0. What is h?
-1, -2/5
Let t = -2 + 4. Determine j, given that 5*j - 27*j**4 + 5*j**2 - 53*j**t - 42*j**3 + 105*j**3 + 7*j = 0.
0, 2/3, 1
Let k be 0 + 3/18*-10 + 2. Find o such that 0*o - 1/3*o**4 + 0*o**3 + 0 + k*o**2 = 0.
-1, 0, 1
Suppose -1323*j + 1316*j = -14. Factor 0 - 2/7*w**3 + 0*w + 2/7*w**5 + 2/7*w**4 - 2/7*w**j.
2*w**2*(w - 1)*(w + 1)**2/7
Let x(w) be the second derivative of -8*w**7/21 - 2*w**6/5 + 13*w**5/5 + w**4/3 - 6*w**3 + 4*w**2 - 4*w. Let x(s) = 0. What is s?
-2, -1, 1/4, 1
Let s(t) = -5*t**4 - 2*t**3 + 6*t**2 + 5*t - 1. Let i(w) = 11*w**4 + 4*w**3 - 12*w**2 - 11*w + 1. Let g(x) = -3*i(x) - 7*s(x). Determine p, given that g(p) = 0.
-2, -1, 1
Suppose m + 3 = -k - 1, 0 = 2*m + 8. Let l be -1 - (k - 2) - 1. What is w in 0*w + 0*w**2 + l + 1/4*w**3 + 1/4*w**4 = 0?
-1, 0
Let f(l) be the third derivative of -l**6/150 - l**5/75 + l**4/6 - 2*l**3/5 + 13*l**2. Factor f(r).
-4*(r - 1)**2*(r + 3)/5
What is b in -16/9 - 16/9*b - 4/9*b**2 = 0?
-2
Factor -12*i**3 - 4 - 10*i**2 + 39*i**2 - 49*i + 41*i.
-(i - 2)*(3*i - 2)*(4*i + 1)
Let o(r) = 2*r**5 + r**4 + r**3 - r - 1. Let t(c) = -c**5 + c**4 - c**3 + c + 1. Let z(h) = 5*o(h) + 5*t(h). Let z(m) = 0. Calculate m.
-2, 0
Let v = -64 + 64. Let q(i) be the second derivative of 3*i + 1/18*i**4 + v + 0*i**2 - 1/9*i**3. Find u, given that q(u) = 0.
0, 1
Let r(c) = -c**3 + c**2 + 3*c + 2. Let u be r(-2). Suppose -4*b + 0 = -u. Find t, given that 4/3*t - 2/3*t**b - 2/3 = 0.
1
Let d(i) = i**3 + 8*i**2. Let r be d(-8). Suppose 0 = -r*h - 9*h. Factor -1/4*c**2 + 1/4 + h*c.
-(c - 1)*(c + 1)/4
Let l = -2 - -7. Suppose -x + 0*p = -l*p - 18, -5*x = -5*p - 30. Let -t**5 - 3*t + 6*t**x - 7*t**5 - 2*t**5 + 7*t**5 = 0. What is t?
-1, 0, 1
Let k(u) be the first derivative of -u**5/30 - u**4/12 + 2*u**3/3 - u**2/2 - 7. Let a(j) be the second derivative of k(j). Suppose a(c) = 0. What is c?
-2, 1
Let n(x) be the second derivative of -x - 1/21*x**7 + 0 + 1/15*x**6 + 3/10*x**5 + 2/3*x**3 + 0*x**2 - 5/6*x**4. Suppose n(q) = 0. Calculate q.
-2, 0, 1
Let z(r) = -r. Let b = 1 + -3. Let m be z(b). Factor 2*a**2 - a**4 + 2*a - 3*a - a**m + a**3.
-a*(a - 1)**2*(a + 1)
Suppose -5*c + 8 = -2. Factor 31*i**5 + c*i - 25*i**5 - 2*i - 3*i**3 + 3*i**4.
3*i**3*(i + 1)