k be y(-4). Let v(j) = 27*j**3 - 30*j**2 - 72*j - 36. Let a(p) = -p**2 - p - 1. Let i(l) = k*a(l) - v(l). Factor i(m).
-3*(m - 2)*(3*m + 2)**2
Let f(i) = -5*i - 59. Let c be f(-13). Let j(n) be the second derivative of 1/2*n**4 + 0 + 3/10*n**5 - n + 1/15*n**c + 1/3*n**3 + 0*n**2. Factor j(r).
2*r*(r + 1)**3
Let i(j) = 5*j**4 + 3*j**3 + 2*j**2 - 6*j - 4. Let x(z) = 36*z**4 + 20*z**3 + 14*z**2 - 42*z - 28. Let f(r) = -44*i(r) + 6*x(r). Factor f(l).
-4*(l - 1)*(l + 1)**2*(l + 2)
Let b(s) = -s**3 + 6*s**2 - 4*s - 13. Let u be b(4). Let f(y) be the first derivative of 1/10*y**4 - u - 4/5*y + y**2 - 8/15*y**3. Factor f(c).
2*(c - 2)*(c - 1)**2/5
Let z be (2/(-20))/(80/(-1800)). Let -3/2*x + 1/4*x**2 + z = 0. Calculate x.
3
Let c(f) be the first derivative of -3*f**4/4 + 7*f**3/6 - f/2 - 2. Determine k, given that c(k) = 0.
-1/3, 1/2, 1
Let j(a) be the first derivative of a**3 + 0*a + 4 + 3*a**2 - 3/4*a**4. Factor j(s).
-3*s*(s - 2)*(s + 1)
Let o = 24 - 47/2. What is w in -1/2*w**4 + 2*w**3 - o + 2*w - 3*w**2 = 0?
1
Let d be -1 + (4/(-12))/((-14)/54). Solve d*v**2 + 0*v - 2/7 = 0.
-1, 1
Let o be 1/(-3)*-3 + -3. Let x be o/(-3)*-3*-2. Find f, given that 9/5*f**2 - f - 7/5*f**x - 2/5 + f**3 = 0.
-1, -2/7, 1
Let u(p) be the third derivative of p**2 + 1/84*p**4 + 0*p + 1/420*p**6 + 1/105*p**5 + 0 + 0*p**3. Find t such that u(t) = 0.
-1, 0
Let j(i) be the third derivative of i**6/48 - 13*i**5/120 + i**4/12 + i**3/3 - 13*i**2. Let j(c) = 0. Calculate c.
-2/5, 1, 2
Let x(o) = o**2 + 1. Let b(w) = w**5 - w**4 - w**3 + 6*w**2 + 5. Let k(m) = b(m) - 5*x(m). Determine y so that k(y) = 0.
-1, 0, 1
Let q(n) be the third derivative of -n**7/105 + n**6/60 - 4*n**2. Let q(f) = 0. What is f?
0, 1
Let n(r) be the second derivative of -r**2 + 1/2*r**3 + 0 - 8*r - 1/12*r**4. Factor n(l).
-(l - 2)*(l - 1)
Suppose -a + 370 = -k, 942 + 172 = 3*a + k. Let n = -3335/9 + a. Solve 0 - 4/9*v**4 - 2/9*v + 0*v**3 + 2/9*v**5 + n*v**2 = 0 for v.
-1, 0, 1
Let h(x) be the second derivative of 0*x**2 - 2*x + 1/120*x**6 - 1/80*x**5 + 0 + 1/24*x**3 - 1/48*x**4. Find f, given that h(f) = 0.
-1, 0, 1
Let h(s) be the second derivative of 13/50*s**5 + 7/15*s**3 - 1/2*s**4 - 4/75*s**6 - 6*s - 1/5*s**2 + 0. Factor h(a).
-2*(a - 1)**3*(4*a - 1)/5
Suppose 10 = 6*i - 4*i. Solve 2*n**4 + 5*n**i + 0*n**5 - n**5 - 2*n**5 = 0.
-1, 0
Let t(m) be the third derivative of m**5/150 + 7*m**4/60 + 2*m**3/3 + 25*m**2 + 1. Suppose t(d) = 0. What is d?
-5, -2
Let i = 17/3 - 13/6. Let n be (0 - -1)/((-6)/(-9)). Determine m, given that -3/2*m**3 + 1/2*m + n*m**2 + 0 - i*m**4 + 3*m**5 = 0.
-1/2, -1/3, 0, 1
Let c(r) = r**3 - 2*r**2 - 9*r + 7. Let a be c(4). Let z(s) be the second derivative of -2/21*s**3 + 1/7*s**2 + 1/42*s**4 + a*s + 0. Find u such that z(u) = 0.
1
Let o = 20 + -32. Let m be 1*(-3)/o*0. Suppose 1/3*k**2 + 1/3*k + m = 0. What is k?
-1, 0
Let d(a) = -8*a**2 + 12*a + 16. Let x(n) = -n**3 + 17*n**2 - 24*n - 32. Let k(u) = 5*d(u) + 2*x(u). Factor k(r).
-2*(r - 2)*(r + 1)*(r + 4)
Let g(b) be the third derivative of -b**8/50400 + b**5/20 - 3*b**2. Let d(p) be the third derivative of g(p). Solve d(z) = 0 for z.
0
Let y be (3 - 3) + (-1 - -4). Factor 2*u**2 - y*u**2 - 3*u**3 + 4*u**3 - 2*u**3.
-u**2*(u + 1)
Suppose -3*c - c + 32 = 4*s, 2*s - 8 = 0. Solve -31*m**4 + 2*m + m**2 - 18*m**3 - 1 + 1 + 0*m**c - 14*m**5 = 0 for m.
-1, -1/2, 0, 2/7
Suppose -3*f + 4 = -5. Let u(v) be the first derivative of -1/20*v**5 + 0*v**4 + 0*v + 0*v**2 + 2 + 1/12*v**f. Factor u(w).
-w**2*(w - 1)*(w + 1)/4
Let q(o) = -11*o**2 - 4*o + 7. Let i be 15/2*(-12)/(-5). Let k = -6 - i. Let p(g) = -g**2 + 1. Let t(s) = k*p(s) + 3*q(s). Factor t(z).
-3*(z + 1)*(3*z + 1)
Let l = -651 - -657. Factor 6*h**3 - 3*h**4 + 3/5*h**5 - l*h**2 - 3/5 + 3*h.
3*(h - 1)**5/5
Let j be -2*(-1)/4*4. Factor 4*h + 127 - h**2 + 2*h**j - 123.
(h + 2)**2
Let k be 4/(-16) + (-17)/(-4). Suppose -k*z + 6 = -2. Factor -v**2 + v**3 + z*v**2 - v**4 + 2*v - 3*v.
-v*(v - 1)**2*(v + 1)
Let w(g) be the first derivative of -g**2 - 2/5*g**5 + g**4 - 2*g - 3 - 1/3*g**6 + 4/3*g**3. Determine c, given that w(c) = 0.
-1, 1
Let m be (6/4)/(9/12). Factor -2*y + 4*y - 4 - m*y**2 + 2*y**2 + 2*y**2.
2*(y - 1)*(y + 2)
Let q(v) be the third derivative of 0*v + 0 + 1/3*v**3 + v**2 - 2/15*v**5 - 1/4*v**4. Factor q(l).
-2*(l + 1)*(4*l - 1)
Let p(i) be the third derivative of 0*i + 0*i**5 + 1/1260*i**6 + 0*i**4 + 0 - 1/3*i**3 - 2*i**2. Let v(s) be the first derivative of p(s). Factor v(c).
2*c**2/7
Find g, given that 10*g - 43*g**4 - 4*g**2 - 11*g**2 + 48*g**4 = 0.
-2, 0, 1
Let h(q) = q**2 + 10*q - 7. Let f be h(-11). Let -4 - 2*j**f + 24*j**3 - 10*j**5 - 2*j**4 + 8*j**2 - 4*j**3 - 10*j = 0. What is j?
-1, -2/5, 1
Let 5*h + 9*h**2 - 5*h**2 - h = 0. What is h?
-1, 0
Let s = 4/705 - -1046/64155. Let b = 568/1001 - s. Factor -b*x**2 - 2/11 + 2/11*x**3 + 6/11*x.
2*(x - 1)**3/11
Let u(i) = -i**3 - 4*i**2 - 3*i + 2. Let p be u(-3). Factor 3/4*j**p + j - 1.
(j + 2)*(3*j - 2)/4
Let w(q) = q**2 + 7*q - 2. Let n(l) = -l. Let g(v) = v**2 - v - 3. Let p be g(3). Let x = -3 - p. Let o(j) = x*n(j) - w(j). Find u such that o(u) = 0.
-2, 1
Let w be (1 - -5) + 0 + 1. Factor -3*l**4 + 6*l**2 - w + 11 - 7.
-3*(l - 1)**2*(l + 1)**2
Solve 2/3 - 14/9*a - 2/9*a**3 + 10/9*a**2 = 0.
1, 3
Let i = -13 + 16. Determine j so that -3*j + i*j**3 - 5 + 3*j**2 + 3*j**2 - 1 = 0.
-2, -1, 1
Let d = 8/61 + 37/183. Let d + 1/6*c - 1/6*c**2 = 0. What is c?
-1, 2
Let k(p) be the second derivative of p**7/420 - p**5/60 + p**3/12 - 2*p**2 - 2*p. Let f(c) be the first derivative of k(c). Factor f(j).
(j - 1)**2*(j + 1)**2/2
Let a(i) = -12*i**2 + 11*i - 7. Let x(n) = -6*n**2 + 5*n - 4. Let s(f) = 4*a(f) - 7*x(f). Determine r, given that s(r) = 0.
0, 3/2
Suppose 0 = 5*j - 3 + 18. Let g(s) = 5*s**2 + s. Let f be 5/(20/16) + -2. Let t(k) = 4*k**2 + 2*k. Let d(y) = f*g(y) + j*t(y). Factor d(m).
-2*m*(m + 2)
Let l(w) be the first derivative of -3/7*w**2 - 2/21*w**3 + 3/14*w**4 + 2/7*w - 6. Let l(x) = 0. Calculate x.
-1, 1/3, 1
Let d(c) = -7*c**2 + 9*c + 5. Let l(q) = 4*q**2 - 5*q - 3. Let s be (108/45)/((-4)/(-10)). Let x(n) = s*d(n) + 10*l(n). Suppose x(k) = 0. What is k?
0, 2
Let g be 0/(-5 + -1 + 4). Suppose 0 = -3*w - 5*t - 15, -3*w - t - 3 = g. Factor -1/3*s**3 + 0 + 1/3*s**2 + w*s.
-s**2*(s - 1)/3
Let c be (-3)/(((-21)/2)/7). Let a(v) be the first derivative of 4/7*v**2 + 2/21*v**3 - c + 8/7*v. Factor a(x).
2*(x + 2)**2/7
Let b(v) = v**2 - 8*v + 4. Let z be b(7). Let t = z - -5. Let -t*k**2 - 1/2*k**3 - 1 - 5/2*k = 0. What is k?
-2, -1
Let u(b) = -3*b**3 - 18*b**2 - 3*b + 12. Let z(r) = r**3 - r**2 + r - 1. Let n(i) = -u(i) - 12*z(i). Factor n(h).
-3*h*(h - 3)*(3*h - 1)
Let u(h) be the third derivative of 3/20*h**5 + 0*h + 1/3*h**3 + 4*h**2 + 7/24*h**4 + 0 + 1/210*h**7 + 1/24*h**6. Factor u(r).
(r + 1)**3*(r + 2)
Let a be (-1)/4 - 26/(-8). Factor 12*w**a + 2*w**4 - 2*w**2 - 12*w**3.
2*w**2*(w - 1)*(w + 1)
Factor -30/7*j - 75/7 - 3/7*j**2.
-3*(j + 5)**2/7
Let n(i) be the third derivative of -i**5/60 + i**4/6 - i**3/2 + 15*i**2. What is w in n(w) = 0?
1, 3
Let s be 18/4 + 50/(-20). Solve 0*t - 1/4*t**4 + 0 - 1/2*t**s + 3/4*t**3 = 0.
0, 1, 2
Let 0*r**2 + 2/7*r**3 - 6/7*r**5 + 0 + 0*r + 4/7*r**4 = 0. Calculate r.
-1/3, 0, 1
Suppose 4*z + 2*i = 5*z - 1, 4*z - 10 = 2*i. Suppose 2*d + 3*d = 4*c - 8, -d + 6 = z*c. Factor -6*j**3 - 8/3*j - 8*j**c + 0.
-2*j*(3*j + 2)**2/3
Let w(q) be the third derivative of 2*q**2 - 1/2*q**3 + 1/20*q**5 + 0*q + 0 + 1/40*q**6 - 1/8*q**4. Factor w(g).
3*(g - 1)*(g + 1)**2
Let a be 1*2/(-2) - -7. What is h in 3*h**4 + 6*h - a*h + h**5 - 4*h**4 = 0?
0, 1
Let x(z) be the third derivative of -2*z**2 + 0 + 1/60*z**4 - 1/100*z**6 - 2/525*z**7 + 0*z + 0*z**3 + 0*z**5. Factor x(k).
-2*k*(k + 1)**2*(2*k - 1)/5
Let r(z) be the third derivative of 1/45*z**5 + 0*z**3 + 2*z**2 - 1/1008*z**8 - 1/18*z**4 + 0*z + 0 + 1/120*z**6 - 1/315*z**7. Find v such that r(v) = 0.
-2, 0, 1
Let c = -8 + 8. Let j be c - (2 + -3)*6. Determine m so that -2 - 8*m**4 - 5*m**5 + 10*m**3 - 6*m + j*m**4 + 4*m**2 + m = 0.
-1, -2/5, 1
Let j(a) be the third derivative of -a**5/120 - a**4/48 + 51*a**2. Factor j(t).
-t*(t + 1)/2
Let k(x) be the third derivative of x**7/735 + x**6/420 - x**5/210 - x**4/84 + 12*x**2. Factor k(b).
2*b*(b - 1)*(b 