w**2 + 2*w**4.
3*w**2*(w - 1)*(w + 1)*(w + 2)
Let n(s) be the first derivative of -s**6/70 - 3*s**5/20 - 9*s**4/14 - 10*s**3/7 - 12*s**2/7 + 2*s - 3. Let j(i) be the first derivative of n(i). Factor j(q).
-3*(q + 1)*(q + 2)**3/7
Let v = 7 + 1. Suppose -3*i = -5*i + v. Factor 2 - s**4 - i*s**2 + 0*s**4 + 3*s**4.
2*(s - 1)**2*(s + 1)**2
Factor 0*b**3 - 3/2*b**2 - 2*b + 1/4*b**4 - 3/4.
(b - 3)*(b + 1)**3/4
Suppose -1/4*v**2 + 0 - 1/2*v = 0. Calculate v.
-2, 0
Suppose 20 + 22 - 42 - 4*a**2 = 0. What is a?
0
Let g(x) be the first derivative of -128*x**5/9 + 56*x**4/9 + 8*x**3/3 - 19*x**2/9 + 4*x/9 + 26. Factor g(m).
-2*(4*m - 1)**3*(5*m + 2)/9
Let a(k) be the third derivative of -k**9/60480 + k**7/10080 - k**4/6 - 4*k**2. Let x(j) be the second derivative of a(j). Factor x(b).
-b**2*(b - 1)*(b + 1)/4
Let y(g) be the third derivative of -g**7/12600 - g**6/900 - g**5/150 + g**4/8 - 6*g**2. Let u(d) be the second derivative of y(d). Factor u(s).
-(s + 2)**2/5
Let j(z) be the second derivative of 1/48*z**4 + 0 - 1/24*z**3 + 0*z**2 - z. Find r, given that j(r) = 0.
0, 1
Factor 0*v**4 - 2*v**4 - 5*v**3 + 3*v**2 - 9*v**2 + v**4.
-v**2*(v + 2)*(v + 3)
Let p(k) be the first derivative of -k**3/5 + 11. Factor p(q).
-3*q**2/5
Let a = 209 - 207. Determine n so that -10/3*n**3 - 4/3*n + 0 - 14/3*n**a = 0.
-1, -2/5, 0
Let r = -56/33 + 17/10. Let o(i) be the third derivative of -r*i**5 + 0 + 0*i - 1/33*i**3 - 1/66*i**4 - 2*i**2. Solve o(q) = 0.
-1
Suppose -4*n - 8 = 3*j + 6, 6 = n - 4*j. Let q be 17/33 + n/11. Factor 1/3*r**3 + q*r - 2/3*r**2 + 0.
r*(r - 1)**2/3
Let i be -1 + -1*(-1 + -2). Determine g, given that 15*g - 14*g - 2*g**i + g**2 = 0.
0, 1
Let z(h) = -h**3. Let n(q) = -25*q**3 + 10*q**2. Let g(u) = n(u) - 30*z(u). Factor g(v).
5*v**2*(v + 2)
Let t = -28 - -30. Suppose -t*p = -4*p + 4. Factor -5/2*d**p + 0 - 3/2*d**3 - d.
-d*(d + 1)*(3*d + 2)/2
Let w(z) be the second derivative of z**5/130 + z**4/26 - 3*z**3/13 + 5*z**2/13 - 3*z. Find v such that w(v) = 0.
-5, 1
Let o(s) = -3*s**2 + 3*s. Let q(t) = -7*t**2 + 5*t - 1. Let g(h) = -13*o(h) + 6*q(h). Determine m, given that g(m) = 0.
-2, -1
Let h = 0 + 5. Suppose h*f**2 + 4*f + 0*f**2 - 3*f**2 - 2*f = 0. Calculate f.
-1, 0
Let g(w) be the first derivative of 0*w**2 + 0*w + 3/4*w**4 - 1/3*w**3 - 1 - 2/5*w**5. Let g(m) = 0. What is m?
0, 1/2, 1
Let r(k) be the first derivative of 2/3*k**3 + 1/6*k**4 + 2/3*k - 2 + k**2. Factor r(x).
2*(x + 1)**3/3
Let y(a) be the first derivative of 3*a**6/4 - 3*a**5/10 - 69*a**4/8 - 11*a**3/2 + 15*a**2 + 18*a - 58. Find f, given that y(f) = 0.
-2, -1, -2/3, 1, 3
Let g(v) be the second derivative of v**9/7560 - v**8/1680 - v**7/420 - v**4/4 - 3*v. Let w(n) be the third derivative of g(n). Factor w(i).
2*i**2*(i - 3)*(i + 1)
What is s in -2/5*s**2 + 2/5*s + 4/5 = 0?
-1, 2
Let p be 0 + (0 - (-1)/((-20)/(-16))). Factor -p*o - 4/5 - 1/5*o**2.
-(o + 2)**2/5
Let w(j) = 4*j + 2. Let x(v) = v**2 - 10*v - 13. Let m be x(11). Let s(b) = -b**2 - 4*b - 3. Let o(r) = m*s(r) - 3*w(r). Suppose o(c) = 0. What is c?
0, 2
Let x(m) = -m - 5. Let y be x(-5). Let f(u) be the first derivative of y*u - 2/3*u**3 + u**2 + 3. Factor f(v).
-2*v*(v - 1)
Suppose -y + 5*a = 4*y - 5, -a + 11 = 3*y. Suppose 3*u = y*k + 6 + 3, u + 5*k = 15. Determine t, given that 31*t**5 + 3*t**2 + 39*t**5 - 78*t**4 + u*t**2 = 0.
-2/7, 0, 2/5, 1
Suppose -5*l = -0*m - m - 15, -m + 4*l - 12 = 0. Factor 2/5*a**5 - 2/5*a**3 + 0*a**4 + 0*a + m + 0*a**2.
2*a**3*(a - 1)*(a + 1)/5
Let n(o) be the third derivative of -1/315*o**7 + 0*o**4 + 0*o + 0*o**6 - o**2 + 0 + 1/90*o**5 + 0*o**3. Factor n(l).
-2*l**2*(l - 1)*(l + 1)/3
Let i(u) be the third derivative of 1/15*u**3 + 1/75*u**5 - 1/150*u**6 - 1/840*u**8 + 0 - 1/175*u**7 + 3*u**2 + 0*u + 1/20*u**4. Factor i(g).
-2*(g - 1)*(g + 1)**4/5
Let x(h) be the first derivative of h**3/9 + h**2/3 - 12. Factor x(k).
k*(k + 2)/3
Solve -8/13*a**4 - 6/13*a**3 + 0 + 36/13*a**2 + 0*a + 2/13*a**5 = 0 for a.
-2, 0, 3
Suppose 0 = -2*j + 1 - 3. Let b be 1*4*j/(-2). Find y such that -50*y + 50*y - b*y**4 + 0*y**4 = 0.
0
Solve 4/7 + 4*q**2 + 4/7*q**4 + 18/7*q + 18/7*q**3 = 0 for q.
-2, -1, -1/2
Let v(j) = j**5 - 5*j**4 - 4*j**3 + 4*j**2 - 4. Suppose 2*m - 3 = -m. Let o(g) = -g**4 - g**3 + g**2 - 1. Let q(x) = m*v(x) - 4*o(x). Find l such that q(l) = 0.
0, 1
Let t(f) be the second derivative of -f**5/80 - f**4/8 - 3*f**3/8 - f**2/2 + 4*f. Determine p so that t(p) = 0.
-4, -1
Let i(t) be the first derivative of -2/35*t**5 + 0*t**3 + 0*t**2 - 1/14*t**4 + 2 + 0*t. Factor i(n).
-2*n**3*(n + 1)/7
Suppose 3*s - 64 = -s + 4*l, -88 = -5*s - 3*l. Suppose 0 = 3*u - m - s, -2*m = m + 15. Let 0 - 4/3*h**3 + 0*h + 2/3*h**2 + 2/3*h**u = 0. Calculate h.
0, 1
Factor -2*j + 1 - 1 - 4*j + 3*j**2.
3*j*(j - 2)
Let 217*t + 209*t + 3*t**2 - 438*t = 0. Calculate t.
0, 4
Let w(u) be the third derivative of u**6/40 + u**5/4 + u**4 + 2*u**3 + u**2 + 9. Factor w(p).
3*(p + 1)*(p + 2)**2
Let s(u) be the second derivative of -1/9*u**3 - 1/30*u**5 + 0 + 1/9*u**4 + 0*u**2 + 5*u. Let s(r) = 0. Calculate r.
0, 1
Let o(u) be the first derivative of -4 + 1/24*u**4 + 0*u - 1/18*u**3 + 0*u**2. What is n in o(n) = 0?
0, 1
Factor 0 + 6/7*h**2 + 4/7*h + 2/7*h**3.
2*h*(h + 1)*(h + 2)/7
Factor -8*w**4 + 7*w**5 + 4*w**3 + 4 - 4 - 3*w**5.
4*w**3*(w - 1)**2
Let v(s) be the third derivative of s**6/240 + s**5/60 - s**4/48 - s**3/6 - 4*s**2. Solve v(u) = 0 for u.
-2, -1, 1
Suppose 5 - 2 = r. Suppose 10*f**2 + 6*f**2 - r*f**3 - 3*f**2 - f**2 - 12*f = 0. What is f?
0, 2
Let f be (-2)/(-10) + (-72)/(-15). Suppose -4*l - 6 = -f*d, l - d + 5*d = 9. Determine y, given that -y - y**3 + y**2 + 2*y + 1 + l - 3 = 0.
-1, 1
Suppose 7*t = 4*t + 48. Factor -2*l**3 - t*l + 2 - 2 + 8 + 10*l**2.
-2*(l - 2)**2*(l - 1)
Suppose -g + h + 4 = 0, 12 = -3*g - 0*h - 3*h. Let a(x) be the first derivative of 2/3*x**3 + 1 - x**2 - 2/5*x**5 + 1/2*x**4 + g*x. Factor a(n).
-2*n*(n - 1)**2*(n + 1)
Suppose 0 = 5*h + 2*f - 0 - 4, h = -f + 2. Let p(n) be the second derivative of 0 - 1/3*n**3 - n - 1/6*n**4 + h*n**2. Determine k, given that p(k) = 0.
-1, 0
Let g(p) = p**3 - 12*p**2 - p + 16. Let f be g(12). Factor -f*d**3 - d + 7*d**3 + 2*d**2 + d**2 + d**3.
d*(d + 1)*(4*d - 1)
Let c = -97 - -102. Let y(i) be the third derivative of 1/12*i**c - i**2 + 0 - 1/30*i**6 - 1/12*i**4 + 0*i + 1/210*i**7 + 0*i**3. Let y(h) = 0. Calculate h.
0, 1, 2
Let s(i) be the first derivative of -49*i**5/30 - 21*i**4/4 - 109*i**3/18 - 3*i**2 - 2*i/3 - 27. Factor s(o).
-(o + 1)**2*(7*o + 2)**2/6
Factor 80*o**2 + 34*o + 30*o + 13*o**3 + 41*o + 7*o**3 + 45.
5*(o + 1)*(2*o + 3)**2
Let u(j) be the third derivative of -5*j**2 + 0*j**3 + 0*j + 0*j**4 + 0 - 1/20*j**6 - 1/210*j**7 - 3/20*j**5. Factor u(m).
-m**2*(m + 3)**2
Let f be (-2)/(-10) + (-42)/(-15). Suppose 5*x = -2*i - 3*i + 85, -f*x + i + 59 = 0. What is w in -6*w**4 + 3*w**2 - 3*w**5 + 3*w**2 - 16*w + x*w = 0?
-1, 0, 1
Let d(h) be the first derivative of -10*h**3/23 - 17*h**2/23 - 4*h/23 + 45. Suppose d(k) = 0. What is k?
-1, -2/15
Let 1 - 3/4*c**2 + 0*c + 1/4*c**3 = 0. Calculate c.
-1, 2
Let k(x) = 3*x**2 - 6*x - 9. Let q(z) = -z - 1. Let d(c) = k(c) - 9*q(c). Let d(j) = 0. What is j?
-1, 0
Let u(n) be the second derivative of n**4/12 + n**3/2 + n**2 - 4*n. Factor u(j).
(j + 1)*(j + 2)
Let c(r) = 3*r**3 + 5*r**2 - 2*r - 4. Let x be c(3). Let k be (-2)/(-13) + x/91. Find h such that -4/7*h**3 + 10/7*h**2 + 0 - k*h**4 + 4/7*h = 0.
-1, -2/5, 0, 1
Let n(d) be the first derivative of 3*d**5/5 + 2*d**3/3 - 5*d**2/2 + 5*d + 3. Let j(k) = -2*k**4 - 2*k**2 + 4*k - 4. Let c(a) = 5*j(a) + 4*n(a). Solve c(l) = 0.
-1, 0, 1
Suppose d + 2 = 4*d + 5*f, 0 = 4*d - 2*f - 20. Suppose 2*z = 2*l + 2, 25 = 3*l + 5*z - d. Solve -3*i**3 + l*i**3 + 2*i**3 + 2*i**2 = 0 for i.
-1, 0
Suppose 125*k = 89*k. Factor 0*u**2 + 0*u + k - 1/6*u**3.
-u**3/6
Let m(c) be the first derivative of c**8/840 - c**7/120 + c**6/40 - c**5/24 + c**4/24 + c**3 + 3. Let z(k) be the third derivative of m(k). Factor z(y).
(y - 1)**3*(2*y - 1)
Let b be 22 + -8 + 1 + 0. Let o be (42/b + -2)/2. Factor -o - 2/5*h**2 - 4/5*h.
-2*(h + 1)**2/5
Let w(a) = a**2 + a - 5. Let r(n) = -1. Let p(o) = -5*r(o) + w(o). Find g, given that p(g) = 0.
-1, 0
Let a = -9/7 - -25/14. Let 3/4*j**5 + 0*j + a*j**2 - j**4 + 0 - 1/