**3/57 + 25*p**2/19 - 7. Solve f(s) = 0.
0, 5
Let w(j) = -2*j**4 - 6*j**3 + 10*j + 2. Let i(m) = m + 1. Let c = 8 - 7. Let y(q) = c*w(q) - 2*i(q). Factor y(a).
-2*a*(a - 1)*(a + 2)**2
Factor 4/7*f**2 + 36/7 + 24/7*f.
4*(f + 3)**2/7
Let n be (-5 - 1)*(-2)/6. Suppose -4*y - 15 = -9*y. Factor n*u**5 - 3*u + 1 - 3*u**4 - 10*u**2 - u**5 + 12*u**2 + 2*u**y.
(u - 1)**4*(u + 1)
Find m such that 2 - m**2 + 5*m**2 - 6 = 0.
-1, 1
Let a(p) be the third derivative of -p**7/1575 - p**6/150 - p**5/90 + 23*p**2. Factor a(k).
-2*k**2*(k + 1)*(k + 5)/15
Let x(h) = h**2 - 10*h - 7. Let u be x(11). Solve 0 + 3*t**3 + u - 4 + 3*t**2 = 0.
-1, 0
Let b = -70/3 - -24. Factor b*r**2 - 2/3*r + 2/9 - 2/9*r**3.
-2*(r - 1)**3/9
Let p(d) be the second derivative of -d**7/231 + d**6/55 - d**5/55 - 16*d. Factor p(t).
-2*t**3*(t - 2)*(t - 1)/11
Let d(f) = 3 - 13*f + 0*f**2 + 7 - 2 - 3*f**2. Let v(n) = -2*n**2 - 7*n + 4. Let q(h) = 3*d(h) - 5*v(h). Factor q(p).
(p - 2)**2
Let n(a) be the first derivative of -2*a**3/3 + a**2 - 7. Factor n(s).
-2*s*(s - 1)
Let p(i) = 4*i + 11. Let w be p(-2). Let u(k) be the second derivative of 0*k**4 - 1/168*k**7 - 3*k + 0 + 0*k**2 + 1/60*k**6 - 1/80*k**5 + 0*k**w. Factor u(l).
-l**3*(l - 1)**2/4
Let y(s) = -s**3 - 12*s**2 - 11*s. Let q be y(-11). Let u = 5/12 + -1/12. Find f, given that 0 + u*f**3 + 0*f**2 + 1/3*f**4 + q*f = 0.
-1, 0
Let z(h) be the third derivative of h**5/300 - h**4/4 + 15*h**3/2 - 12*h**2. Let z(k) = 0. What is k?
15
Let c = 849 - 849. Factor 0*p**2 + 0 + 0*p - 1/4*p**5 + 1/4*p**4 + c*p**3.
-p**4*(p - 1)/4
Let l(y) be the first derivative of y**6/2520 - y**5/280 + y**4/84 - 2*y**3/3 - 3. Let z(v) be the third derivative of l(v). Find w such that z(w) = 0.
1, 2
Determine y so that 0 - 9/7*y**4 + 3/7*y**5 - 3/7*y**3 + 0*y + 9/7*y**2 = 0.
-1, 0, 1, 3
Let v(y) be the first derivative of -18/5*y**5 - 28/3*y**3 + 4 - 6*y**2 - 8*y**4 - 2/3*y**6 - 2*y. Factor v(f).
-2*(f + 1)**4*(2*f + 1)
Factor 22*i**2 - 12 - i**2 - 2*i**3 + 17*i**3 - 32*i + 8*i.
3*(i - 1)*(i + 2)*(5*i + 2)
Let w(t) = 5*t**4 - 6*t**3 - 5*t**2. Let n(a) = -a**4 + a**3 + a**2. Let f(q) = -6*n(q) - w(q). Factor f(s).
s**2*(s - 1)*(s + 1)
What is r in r + 36 - 4*r**2 - 17*r + 24 - 40 = 0?
-5, 1
Determine s so that -21/4*s**5 - 9/4*s**3 - 9*s**4 + 0 + 3/2*s**2 + 0*s = 0.
-1, 0, 2/7
Find x such that 0*x**2 - 9/7*x**3 + 0 - 3/7*x**4 + 12/7*x = 0.
-2, 0, 1
Let x(m) be the third derivative of -m**7/420 + 7*m**6/480 - 3*m**5/80 + 5*m**4/96 - m**3/24 + m**2. Find g, given that x(g) = 0.
1/2, 1
Let f(o) be the third derivative of -o**5/60 - 5*o**4/24 + 4*o**2. Solve f(g) = 0 for g.
-5, 0
Find a, given that -a + 4*a**2 - 59*a**3 - 4 + 61*a**3 + 0 - a = 0.
-2, -1, 1
Let z(f) be the first derivative of -f**3/5 + 3*f**2/10 + 6*f/5 + 5. Determine o, given that z(o) = 0.
-1, 2
Let t be (-12)/(-54)*(-3)/12*-6. Factor 2/3*z + 5/3*z**2 + t*z**4 + 4/3*z**3 + 0.
z*(z + 1)**2*(z + 2)/3
Let l(z) be the third derivative of -z**7/3780 - z**6/540 + 7*z**4/24 + 7*z**2. Let j(q) be the second derivative of l(q). Solve j(u) = 0 for u.
-2, 0
Let k be 496/1705 + (-2)/10. Let z(j) be the first derivative of -4 + 4/33*j**3 - 4/11*j + 1/22*j**4 - k*j**2. Determine d so that z(d) = 0.
-2, -1, 1
Let n(g) be the second derivative of -g**8/1344 - g**7/840 + g**6/360 + g**4/4 - g. Let l(b) be the third derivative of n(b). Factor l(h).
-h*(h + 1)*(5*h - 2)
Let c(g) be the first derivative of 0*g - 7 - 1/11*g**2 + 2/33*g**3. Let c(f) = 0. What is f?
0, 1
Let i = -2777/7 - -397. Factor 2/7 - i*u**2 + 0*u.
-2*(u - 1)*(u + 1)/7
Let l(j) be the third derivative of -j**8/10080 - j**7/2520 + j**6/180 + j**5/20 - 5*j**2. Let h(c) be the third derivative of l(c). Factor h(k).
-2*(k - 1)*(k + 2)
Determine d, given that -3/8*d**4 + 15/8*d**2 - 3/8*d**3 - 9/8*d + 0 = 0.
-3, 0, 1
Let h be 45 - 40 - ((-3)/(-1) + 0). Let l(f) be the first derivative of 0*f + 10/21*f**3 + 2/7*f**h - 1/2*f**4 + 3. Let l(p) = 0. Calculate p.
-2/7, 0, 1
Let w = 216 + -431/2. Let y(r) be the first derivative of 4 - 2/3*r**3 + 1/6*r**6 + r - w*r**4 + 1/5*r**5 + 1/2*r**2. What is t in y(t) = 0?
-1, 1
Let d(t) = t**4 - 42*t**3 - 37*t**2 - 3*t. Let q(j) = 4*j**4 - 83*j**3 - 73*j**2 - 7*j. Let m(r) = -7*d(r) + 3*q(r). Let m(l) = 0. Calculate l.
-8, -1, 0
Let b(p) be the second derivative of p**4/60 - 9*p**2/10 + 30*p. Factor b(j).
(j - 3)*(j + 3)/5
Let d(k) be the second derivative of -1/42*k**4 + 2/21*k**3 - 1/7*k**2 + 2*k + 0. Factor d(f).
-2*(f - 1)**2/7
Let o(p) be the third derivative of p**8/1344 - p**7/840 - p**6/160 + p**5/240 + p**4/48 + p**2. Factor o(z).
z*(z - 2)*(z - 1)*(z + 1)**2/4
Factor -18*n**5 + 8*n**4 - 20*n**3 + 11*n**5 + 5*n**5 + 8*n**3 + 8*n**2 - 2*n.
-2*n*(n - 1)**4
Let z(i) be the third derivative of -1/840*i**8 + 0*i**4 + 0 - 1/525*i**7 + 2*i**2 + 1/300*i**6 + 0*i**3 + 0*i + 1/150*i**5. Factor z(a).
-2*a**2*(a - 1)*(a + 1)**2/5
Let i(v) be the second derivative of -v**6/60 + v**4/12 - v**2/4 + 20*v. Determine z so that i(z) = 0.
-1, 1
Let q(u) be the third derivative of 5*u**8/224 - u**7/36 - u**6/45 + u**5/15 + u**4/12 + 2*u**2. Let d(h) be the second derivative of q(h). Solve d(o) = 0.
-1/3, 2/5
Let j = 15941/429 - 513/13. Let w = 4/11 - j. Factor 0 - 2*d**3 - 2/3*d - w*d**2.
-2*d*(d + 1)*(3*d + 1)/3
Let f be ((-633)/15)/(4/(-5)). Let g = 53 - f. Factor 1/4*t - 1/2*t**3 + 1/2*t**2 + g*t**5 - 1/4*t**4 - 1/4.
(t - 1)**3*(t + 1)**2/4
Let f(u) be the second derivative of -u**6/600 + u**5/120 - u**4/60 - 5*u**3/6 - 4*u. Let i(b) be the second derivative of f(b). Factor i(v).
-(v - 1)*(3*v - 2)/5
Let g(r) be the first derivative of -r**6/2 + 3*r**4 - 2*r**3 - 9*r**2/2 + 6*r + 19. Let g(a) = 0. What is a?
-2, -1, 1
Let i(a) be the third derivative of a**9/9072 - a**7/1260 + a**5/360 + a**3/2 - 3*a**2. Let k(p) be the first derivative of i(p). Factor k(c).
c*(c - 1)**2*(c + 1)**2/3
Let z = 20 + -19. Let v(x) = x**2 + x + 1. Let r(f) = 3*f**2 - 6*f + 18. Let k(i) = z*r(i) - 2*v(i). Factor k(b).
(b - 4)**2
Let k(z) be the third derivative of -z**8/20160 + z**7/2520 - z**6/720 + z**5/20 + 2*z**2. Let s(x) be the third derivative of k(x). Let s(t) = 0. What is t?
1
Let g(b) be the first derivative of -b**4/4 + b - 2. Let p be 0/(-2) + (0 - 1). Let i(y) = 5*y**3 - 2*y**2 - 6. Let f(u) = p*i(u) - 6*g(u). Factor f(r).
r**2*(r + 2)
Suppose 23 = -3*d + 2*d + 5*q, 26 = 3*d + 4*q. Determine m so that -4/7*m + 0 + 2/7*m**d = 0.
0, 2
Find n such that 27/4*n**3 + 12*n + 0 - 3/4*n**4 - 18*n**2 = 0.
0, 1, 4
Let l be 1 + (-2)/((-4)/6). Suppose 4*q + q**2 + l - 2*q + 2*q = 0. What is q?
-2
Let i = 0 + 1/3. Let v(c) be the first derivative of 1/6*c**4 + 1 + 2/15*c**5 - 2/9*c**3 + 0*c - i*c**2. Suppose v(r) = 0. What is r?
-1, 0, 1
Suppose 8/3*r**2 + 8/3*r**3 + 0*r + 2/3*r**4 + 0 = 0. What is r?
-2, 0
Suppose 11*a = 3*a - 24. Let m be (-240)/100 - 1*a. Factor -1/5*p**2 - 2/5 - m*p.
-(p + 1)*(p + 2)/5
Let x = 15 - 11. Suppose 4*c - 4 = x. Factor r**5 + c*r**2 - r**3 - 2*r**4 + r**5 - r**3.
2*r**2*(r - 1)**2*(r + 1)
Let w = -4109/3 - -1322. Let t = w - -48. Factor 1/3 + 0*k - t*k**2.
-(k - 1)*(k + 1)/3
Let p(a) be the second derivative of 3*a**4/22 + 16*a**3/33 - 4*a**2/11 + 7*a. Factor p(g).
2*(g + 2)*(9*g - 2)/11
Let h = -1 + -9. Let c be 2/(-5) + (-4)/h. What is y in 4/11*y**2 - 2/11*y**4 + c*y**3 + 0*y - 2/11 = 0?
-1, 1
Let -1/5*q**3 + 4/5 - 8/5*q + q**2 = 0. Calculate q.
1, 2
Suppose 6*x - 2*x = 20. Suppose 3 = -x*r + 23. Let 0*g**3 - 2*g**4 + 2*g**5 + 2*g**3 + 6*g**r = 0. What is g?
-1, 0
Let o(v) = 2*v**3 + 3*v**2 - v + 1. Let z(p) = -p**3 - p**2 + 2*p - 1. Let j(r) = -o(r) - z(r). Solve j(n) = 0 for n.
-1, 0
Let f(v) be the second derivative of 0*v**2 + 1/24*v**4 + 0 - 1/24*v**3 - 1/80*v**5 - 4*v. Factor f(s).
-s*(s - 1)**2/4
Suppose 4*x = 5*m + 33, 4*x + 4*m = 2*x - 16. Suppose 0 + 1/5*y**5 + 1/5*y - 4/5*y**4 - 4/5*y**x + 6/5*y**3 = 0. What is y?
0, 1
Let r(w) be the first derivative of 3 - 1/4*w**2 - 1/6*w**3 + 0*w. Factor r(q).
-q*(q + 1)/2
Let 88*x**4 + 84*x**3 + 113*x**4 - 5*x**4 + 16*x - 96*x**2 = 0. What is x?
-1, 0, 2/7
Let v(s) be the third derivative of -s**6/540 - s**5/180 - s**3/6 + 4*s**2. Let h(b) be the first derivative of v(b). Let h(q) = 0. Calculate q.
-1, 0
Let g(o) be the second derivative of o**6/345 - o**5/230 - o*