 + 1)**3/3
Let b(c) be the second derivative of -2*c**6/3 + 7*c**5/5 + c**4 - 14*c**3/3 + 4*c**2 - 12*c. Solve b(i) = 0.
-1, 2/5, 1
Let j(x) be the first derivative of x**7/2100 - x**5/300 - 2*x**3/3 - 1. Let u(y) be the third derivative of j(y). Factor u(a).
2*a*(a - 1)*(a + 1)/5
Let x(n) be the second derivative of n**5/50 - n**4/60 - n**3/15 + n**2/10 - 25*n. Factor x(p).
(p - 1)*(p + 1)*(2*p - 1)/5
Let s(f) be the first derivative of -f**6/720 + f**5/240 + f**3/3 - 6. Let x(m) be the third derivative of s(m). Find y, given that x(y) = 0.
0, 1
Let y = 1/44 + 39/220. Factor 1/5*n + 0 + 0*n**2 - y*n**3.
-n*(n - 1)*(n + 1)/5
Find d such that 9/4*d**2 - 3/4*d**3 - 9/4*d + 3/4 = 0.
1
Let x be ((-54)/12)/((-3)/4). Let b be (x/(-12))/((-2)/12). Factor -3*a - 2*a**3 - 4*a**2 + 3 + b*a + 1 + 2*a.
-2*(a - 1)*(a + 1)*(a + 2)
Find z, given that 5/2*z**2 + 5/2*z**3 + 1/4 + 5/4*z**4 + 5/4*z + 1/4*z**5 = 0.
-1
Let d(z) be the second derivative of z**6/9 + 73*z**5/120 + 9*z**4/8 + 8*z**3/9 + z**2/3 + 23*z. What is q in d(q) = 0?
-2, -1, -2/5, -1/4
What is k in 4/5*k**2 - 4/5*k**3 + 1/5*k**4 + 0 + 0*k = 0?
0, 2
Solve -33/2*v**4 + 51/2*v**3 - 30*v + 3*v**5 + 3*v**2 + 12 = 0.
-1, 1/2, 2
Let g(s) be the third derivative of -3*s**8/28 - 2*s**7/35 + 23*s**6/30 - 13*s**5/15 + s**4/3 + 15*s**2. Solve g(m) = 0.
-2, 0, 1/3, 1
Let s(p) be the first derivative of -3/4*p**3 - 1/4*p - 1/10*p**5 - 5/8*p**2 - 3 - 7/16*p**4. What is j in s(j) = 0?
-1, -1/2
Let i(a) be the second derivative of -a**6/210 - a**5/140 + a**4/21 + 2*a**3/21 - 19*a. Factor i(s).
-s*(s - 2)*(s + 1)*(s + 2)/7
Let x(r) = r**3 + 4*r**2 + r - 2. Let k be x(-2). Let o be ((-6)/(-3))/(2/k). Factor f**4 + 0*f**3 + 4*f**3 + f - f + 1 + 6*f**2 + o*f.
(f + 1)**4
Suppose -51 = -4*c + 25. Suppose f = -3*g + c, 2*f + 2*g - 22 = -0*g. Factor f - 5 - 3*w - 1 + 2*w**2.
(w - 1)*(2*w - 1)
Let a(z) be the third derivative of 5*z**8/336 + z**7/70 - 7*z**6/120 - z**5/20 + z**4/12 - 3*z**2. Factor a(r).
r*(r - 1)*(r + 1)**2*(5*r - 2)
Let n(d) be the third derivative of 0*d**4 + 0*d**3 + 0*d + 0*d**7 + 0*d**5 + 4*d**2 + 0*d**6 - 1/840*d**8 + 0. Factor n(t).
-2*t**5/5
Let q = 6 + -6. Let z(g) be the third derivative of 0 - 2*g**2 + 1/75*g**5 + 1/300*g**6 + q*g**3 + 1/60*g**4 + 0*g. Factor z(v).
2*v*(v + 1)**2/5
Let k(d) be the third derivative of d**7/70 + 3*d**6/40 + d**5/20 - 3*d**4/8 - d**3 + 9*d**2. Let k(r) = 0. What is r?
-2, -1, 1
Suppose -6*g + 2*g + 8 = 0. Let q = g - -2. Let -2/7*n**q - 2/7*n**5 + 0 + 0*n**2 + 0*n**3 + 0*n = 0. What is n?
-1, 0
Let d(y) be the third derivative of -y**8/1176 - y**7/735 + y**6/84 + y**5/210 - 2*y**4/21 + 4*y**3/21 - 17*y**2. Factor d(u).
-2*(u - 1)**3*(u + 2)**2/7
Let s(l) be the first derivative of l**6/21 - 6*l**5/35 + 3*l**4/14 - 2*l**3/21 + 30. Suppose s(o) = 0. Calculate o.
0, 1
Let u(f) be the third derivative of f**6/600 + f**5/100 - 3*f**4/40 - f**3/6 + 4*f**2. Let y(t) be the first derivative of u(t). Determine m so that y(m) = 0.
-3, 1
Let z be 16/17 + 19/(-38). Let j = 271/306 - z. Factor 0 + j*h + 2/9*h**2.
2*h*(h + 2)/9
Let h(i) be the first derivative of i**6/30 - 3*i**5/25 + i**4/10 + 2*i**3/15 - 3*i**2/10 + i/5 - 21. Factor h(w).
(w - 1)**4*(w + 1)/5
Suppose -4*w = -2 - 6. Factor 0*d**w + 3*d + 2*d**2 - 2*d - d**5 - 2*d**4.
-d*(d - 1)*(d + 1)**3
Solve 22/9*i**3 - 2/3*i**4 + 8/9*i - 8/3*i**2 + 0 = 0.
0, 2/3, 1, 2
Let m(l) be the first derivative of -3*l**4/4 - 5*l**3 - 12*l**2 - 12*l - 2. Suppose m(j) = 0. Calculate j.
-2, -1
Let g(h) = -9*h**2 + 13*h - 11. Let r(c) = -4*c**2 + 6*c - 5. Let s(x) = 6*g(x) - 14*r(x). Solve s(j) = 0.
1, 2
Factor 8/9*a**2 + 4/9 + 10/9*a + 2/9*a**3.
2*(a + 1)**2*(a + 2)/9
Let f be (-399)/27 + (-4)/18. Let k be 2 + -12*(-2)/f. Determine d so that 2/5*d**2 + 0*d - k = 0.
-1, 1
Let d = 39 - 67. Let r be d/182 + 99/52. Factor 13/4*c**2 + 1/2*c + 0 + r*c**5 + 23/4*c**4 + 27/4*c**3.
c*(c + 1)**3*(7*c + 2)/4
Let m be (0 + 2)/((-16)/(-56)). Let r(v) = v**3 - 8*v**2 + 6*v + 7. Let h be r(m). Factor -2/9*w**2 + h + 0*w.
-2*w**2/9
Let l(m) be the third derivative of -m**9/15120 + m**7/2520 - m**4/24 - 8*m**2. Let x(y) be the second derivative of l(y). Factor x(f).
-f**2*(f - 1)*(f + 1)
Let d(a) = -2*a**3 + 7*a**2 + 14*a + 7. Let l be d(5). Let b(n) be the first derivative of -1/2*n**4 + n**l + 0*n**3 + 0*n + 1. Solve b(q) = 0 for q.
-1, 0, 1
Let u be ((-21)/(-7))/(6/4). Let c(t) be the second derivative of u*t + 1/24*t**4 + 0*t**2 + 0 + 1/12*t**3. Let c(o) = 0. Calculate o.
-1, 0
Let w = 237 - 235. Factor 2/7*b**w - 2/7 + 0*b.
2*(b - 1)*(b + 1)/7
Suppose 6*m - 5*y = 3*m + 32, 36 = 5*m - 4*y. Suppose 2*x - m = -0. Factor 0 + 3/2*q**x + 0*q.
3*q**2/2
Find o such that -4 + 58*o - 24*o - 29*o**3 + 61*o**3 - 80*o**2 = 0.
1/4, 2
Let f be 2/(-8) + (-18)/(-24). Let y(j) be the first derivative of -3/8*j**2 + 1/16*j**4 + 1 - f*j + 0*j**3. Factor y(q).
(q - 2)*(q + 1)**2/4
Let b be 1/(-1)*(-2)/2. Let a(h) = -8*h**2 - 10*h - 12. Let u(o) = -o**2 - o - 1. Let l(m) = b*a(m) - 10*u(m). Suppose l(w) = 0. Calculate w.
-1, 1
Let r(p) be the second derivative of -p**6/210 - p**5/70 + p**4/84 + p**3/21 - 3*p. Let r(t) = 0. What is t?
-2, -1, 0, 1
Let h(v) be the first derivative of -v**4/4 - 4*v**3/3 - 5*v**2/2 - 2*v - 7. Find p such that h(p) = 0.
-2, -1
Factor 0*u + 1/2*u**2 + 0 - 1/2*u**4 + 0*u**3.
-u**2*(u - 1)*(u + 1)/2
Let g(b) be the first derivative of b**5/90 - b**4/18 + 3*b**2/2 - 2. Let i(n) be the second derivative of g(n). Factor i(y).
2*y*(y - 2)/3
Factor 0 + 20*j**4 + 104/7*j**3 + 0*j - 14*j**5 + 16/7*j**2.
-2*j**2*(j - 2)*(7*j + 2)**2/7
Let c(i) = 2*i**2 - 12*i + 3. Let g be c(6). Let o(m) be the third derivative of 2*m**2 + 1/660*m**6 + 0 + 0*m**5 - 1/132*m**4 + 0*m + 0*m**g. Factor o(d).
2*d*(d - 1)*(d + 1)/11
Let f be (3 - (-21)/(-6)) + 1. Let k(g) be the first derivative of 3*g**2 + 0*g**3 - f*g**4 - 2 - 4*g. Factor k(x).
-2*(x - 1)**2*(x + 2)
Let l(y) be the first derivative of 5*y**3/18 - 25*y**2/12 - 28. Solve l(o) = 0 for o.
0, 5
Let u(o) = -81*o**5 - 38*o**4 + 25*o**3 - 11*o**2 - 7*o + 7. Let r(w) = -w**4 + w**3 + w**2 + w - 1. Let b(j) = 28*r(j) + 4*u(j). Find n such that b(n) = 0.
-1, 0, 2/9
Let t(n) be the second derivative of 1/3*n**2 + 0 + 2/9*n**3 + 2*n + 1/18*n**4. Factor t(o).
2*(o + 1)**2/3
Let v(b) be the second derivative of 0*b**3 + b + b**2 + 0 - 1/6*b**4. Find p, given that v(p) = 0.
-1, 1
Let z(t) = -t**3 + 1. Let s(v) = 4*v**4 - 12*v**3 + 20*v**2 - 8*v - 4. Let m be ((-20)/16)/5*-4. Let p(g) = m*s(g) + 4*z(g). Suppose p(d) = 0. What is d?
0, 1, 2
Let n(d) be the third derivative of 0 + 0*d - 1/210*d**5 + 1/21*d**3 + 0*d**4 - d**2. Factor n(x).
-2*(x - 1)*(x + 1)/7
Let z(m) be the second derivative of 4/3*m**4 - 2/3*m**6 + 2/21*m**7 + 0*m**2 + 0 - 10*m + 6/5*m**5 - 16/3*m**3. Solve z(n) = 0 for n.
-1, 0, 2
Let c(z) be the third derivative of -z**8/1176 + z**7/147 + z**6/70 + 18*z**2. Let c(j) = 0. Calculate j.
-1, 0, 6
Solve 81 - w**3 + 12*w**2 + 0*w**3 - 17 - 48*w = 0.
4
Factor -3/2*w**2 + 3/2*w**4 + 0 + 0*w**3 + 3/4*w - 3/4*w**5.
-3*w*(w - 1)**3*(w + 1)/4
Factor b**3 + 2*b**4 - b**4 - b + 0*b**2 - b**2 + 0*b**2.
b*(b - 1)*(b + 1)**2
Let y be (-14)/(-6) + 24/(-72). Find r such that 0 + r**y - r**4 + 1/3*r - 1/3*r**3 = 0.
-1, -1/3, 0, 1
Let b = -180 - -1266/7. Find m, given that 6/7*m**2 + 2/7 + b*m + 2/7*m**3 = 0.
-1
Suppose 6/5 + 4/5*c - 2/5*c**2 = 0. What is c?
-1, 3
Let x(l) = l - 9. Let z be x(11). Let 5*u**2 - 2*u + 0*u**z - 3*u**2 = 0. What is u?
0, 1
Factor 0 - 2/5*g**3 + 2/5*g - 2/5*g**2 + 2/5*g**4.
2*g*(g - 1)**2*(g + 1)/5
Let s(c) be the second derivative of -5*c**4/6 + 32*c**3/3 - 12*c**2 + 16*c. Suppose s(z) = 0. Calculate z.
2/5, 6
Let t be (6/(-7))/(22/(-77)). Factor -x**2 + 14*x**3 - x**2 + 2 - 5*x - 5*x**t - 4*x.
(x - 1)*(x + 1)*(9*x - 2)
Let c(y) = -y**3 + 10*y**2 + 21*y + 40. Let b be c(12). Let 0 + 0*r + 0*r**3 - 2/7*r**2 + 2/7*r**b = 0. What is r?
-1, 0, 1
Let h be 1/4 + 1/(-36). Let a = -186 + 189. Solve -2/9 + 2/9*m**2 + 2/9*m - h*m**a = 0 for m.
-1, 1
Let c be (-545)/(-350) - (-3)/(-2). Let h(l) be the first derivative of 0*l**4 - 2 - 2/7*l + 4/21*l**3 + 0*l**2 - c*l**5. Solve h(b) = 0 for b.
-1, 1
Let f = 7 + -5. Factor 1 - 7*b**f + 0 + 2*b**2 + 4*b**2.
-(b - 1)*(b + 1)
Let b be ((-35)/((-3675)/90