. Let s be v(8). Let b(m) be the first derivative of -m - 1/5*m**5 + 0*m**2 + 1 + 2/3*m**3 + s*m**4. Factor b(h).
-(h - 1)**2*(h + 1)**2
Let f(t) be the second derivative of -t**10/45360 + t**8/5040 - t**6/1080 + t**4/6 + 3*t. Let x(r) be the third derivative of f(r). Factor x(o).
-2*o*(o - 1)**2*(o + 1)**2/3
Factor 35*t**3 + 2*t**4 + 3*t**4 + 5*t**3 + 35*t**2.
5*t**2*(t + 1)*(t + 7)
Let d(v) = 2 - 5 + v**2 + 2. Let p(w) = -5*w**2 + 5. Let u(q) = 85*q**2 - 85. Let a(j) = -35*p(j) - 2*u(j). Let g(c) = a(c) - 6*d(c). Factor g(n).
-(n - 1)*(n + 1)
Let h(p) be the second derivative of -p**4/32 + p**3/4 - 3*p**2/4 + 29*p. Let h(j) = 0. What is j?
2
Let u(s) = -5*s**5 + 3*s**4 + 6*s**3 - 4*s**2 + 3. Let c(m) = -9*m**5 + 5*m**4 + 12*m**3 - 8*m**2 + 5. Let b(q) = -3*c(q) + 5*u(q). Find x such that b(x) = 0.
-2, 0, 1
Factor -1/2*j**2 + 0 - 3/2*j.
-j*(j + 3)/2
Suppose 12*a - 4*a = 16. Determine f so that -2/3*f + 4/3 - 2/3*f**a = 0.
-2, 1
Let w be 32/(-28)*((-27)/10 - -2). Factor w*z - 2/5*z**2 + 0.
-2*z*(z - 2)/5
Factor -2*m**2 + 4*m**2 + 2*m**2 - 8*m.
4*m*(m - 2)
Let t(j) be the third derivative of -j**5/120 - j**4/24 - 15*j**2. Find x such that t(x) = 0.
-2, 0
Let j be (1/(3/(-6)))/(3/(-3)). Factor -2/13*i**3 - 4/13*i**j + 0*i + 0.
-2*i**2*(i + 2)/13
Let s = -3/394 + 3173/2758. Let m = 1761/56 + -231/8. Factor -22/7*d**3 + 8/7*d + 0 + m*d**5 - 12/7*d**4 + s*d**2.
2*d*(d - 1)**2*(3*d + 2)**2/7
Let r(w) be the second derivative of w**10/11340 + w**9/11340 - w**8/5760 + w**7/15120 - 5*w**4/12 + 4*w. Let a(i) be the third derivative of r(i). Factor a(z).
z**2*(z + 1)*(4*z - 1)**2/6
Let p(o) be the second derivative of -o**7/14 + 11*o**6/50 + 39*o**5/100 - 23*o**4/20 - 8*o**3/5 + 6*o**2/5 + 19*o. Suppose p(z) = 0. Calculate z.
-1, 1/5, 2
Let h(v) be the third derivative of v**6/40 - 3*v**5/2 + 75*v**4/2 - 500*v**3 + 14*v**2. Find a, given that h(a) = 0.
10
Determine y, given that -44/3*y - 4/3*y**3 + 20/3 + 28/3*y**2 = 0.
1, 5
Let i(g) be the second derivative of -g**8/23520 + g**7/2940 - g**6/1260 - g**4/3 - 4*g. Let j(p) be the third derivative of i(p). Solve j(v) = 0.
0, 1, 2
Let j(b) be the third derivative of -b**7/210 + b**6/60 + 7*b**5/60 + b**4/6 - 35*b**2. Solve j(c) = 0.
-1, 0, 4
Let n(q) be the third derivative of -1/105*q**7 + q**2 + 0 - 1/6*q**4 - 1/6*q**5 - 1/15*q**6 + 0*q + 0*q**3. Solve n(u) = 0 for u.
-2, -1, 0
Let h be (136/(-12))/(6/9). Let z = h - -17. Factor -2/3*f**2 + 0*f + z.
-2*f**2/3
Suppose 0 = -3*t + 6*t - 36. Let r be (4/t)/(2/24). Factor 0*a**2 - 2/3*a**r + 0 + 0*a - 1/3*a**5 - 1/3*a**3.
-a**3*(a + 1)**2/3
Factor 0*i**2 + 2*i - 11*i - 3*i**2 - 6.
-3*(i + 1)*(i + 2)
Suppose p + 3*p - 12 = 0, 2*p = -2*w + 10. Factor -6*d + 3 + 4*d**2 + 0*d**2 - 3*d**w + 2*d**2.
3*(d - 1)**2
Let h be (-3 - 0)*(-6)/(-9). Let i(u) = -14*u**3 + 6*u**2 - 2*u. Let k(g) = -28*g**3 + 13*g**2 - 5*g. Let l(x) = h*k(x) + 5*i(x). Find s, given that l(s) = 0.
0, 2/7
Let v(j) be the third derivative of 1/180*j**5 + 0 - j**2 - 1/36*j**4 + 1/360*j**6 + 0*j**3 + 0*j. Let v(g) = 0. What is g?
-2, 0, 1
Let d(x) be the third derivative of 9*x**7/280 + x**6/80 - 9*x**5/80 - x**4/16 - x**2. Solve d(h) = 0.
-1, -2/9, 0, 1
Suppose -4 = -3*d + 8. Factor -21*g - d*g**2 - 11*g**2 - 12*g**2 - 3 + 9.
-3*(g + 1)*(9*g - 2)
Let r be -2 + (3 - 6/(-12)). Find a, given that r*a**3 + 0*a**2 + 0 + 0*a - 3/4*a**4 = 0.
0, 2
Solve -7/3*t**3 + t**4 + 4*t + 8/3 - 2*t**2 = 0 for t.
-1, -2/3, 2
Let t(h) be the first derivative of -h**5/60 + h**4/24 + 7*h**2/2 + 6. Let k(j) be the second derivative of t(j). Factor k(a).
-a*(a - 1)
Factor 4/11*t**2 + 0*t + 0 + 2/11*t**3.
2*t**2*(t + 2)/11
Let b(d) be the second derivative of -18*d**5/35 + 13*d**4/6 + 7*d**3/3 + 6*d**2/7 - 29*d. Suppose b(t) = 0. What is t?
-1/4, -2/9, 3
Suppose 24 = 2*x + 3*x - 3*f, x + 12 = -5*f. Let q(n) be the first derivative of -n**2 - 2/3*n**x + 1/2*n**4 - 1 + 2*n. Factor q(j).
2*(j - 1)**2*(j + 1)
Let d be (-145)/6 - 1/3. Let h = -133/6 - d. Factor -2/3 - 5/3*j**2 + h*j.
-(j - 1)*(5*j - 2)/3
Let p(v) be the third derivative of -v**6/1140 - 4*v**5/285 - 4*v**4/57 + 16*v**2. Factor p(b).
-2*b*(b + 4)**2/19
Suppose 0 = -2*l - s + 13, -3*l + 3*s = -l - 1. Let y(f) be the third derivative of 0 + 0*f**3 + 0*f + 1/360*f**6 + 0*f**l - 1/72*f**4 - f**2. Factor y(a).
a*(a - 1)*(a + 1)/3
Factor -2/11*d**2 - 18/11 + 12/11*d.
-2*(d - 3)**2/11
Let h = 2 - 5. Let n(x) = x**2 - x - 1. Let r(f) = f. Let g(j) = h*r(j) - 3*n(j). Factor g(b).
-3*(b - 1)*(b + 1)
Let d(h) = h**2 + 3*h. Suppose -4*u = 5*s - 13, 2 + 3 = s. Let v be d(u). Suppose v*x**3 - 4/9*x**4 - 2/9*x**5 + 2/9*x + 0 + 4/9*x**2 = 0. What is x?
-1, 0, 1
Let g = 87 - 85. Suppose 7/3*h + 5/3*h**3 - 2/3 - 1/3*h**4 - 3*h**g = 0. Calculate h.
1, 2
Let d(w) = 48*w**2 - 20*w + 7. Let b(r) = -48*r**2 + 21*r - 6. Let l(m) = -4*b(m) - 3*d(m). Factor l(j).
3*(4*j - 1)**2
Let p(z) be the first derivative of -2/3*z**3 - 4*z + 5 - 3*z**2. Factor p(f).
-2*(f + 1)*(f + 2)
Let k(x) = -2*x + 1. Let p(h) = h**2 - 8*h - 3. Let q(j) = -2*k(j) + p(j). Factor q(b).
(b - 5)*(b + 1)
Let u(o) be the first derivative of o**4/2 + 4*o**3/21 - 2. Factor u(w).
2*w**2*(7*w + 2)/7
Let r = -9 + 13. Factor -9*y**2 + 3*y**r - 6 - 13*y - 5*y**3 - 2*y + 8*y**3.
3*(y - 2)*(y + 1)**3
Suppose -4*p - 4*x + 4 = 0, 0*x + 2 = -4*p + 2*x. Find y, given that 6/5*y + p + 3/5*y**4 + 3/5*y**5 - 3/5*y**2 - 9/5*y**3 = 0.
-2, -1, 0, 1
Suppose -4 = -4*h + 4. Let y(z) = z - 8. Let n be y(8). Let 0*g - 2/5*g**3 + n + 0*g**h - 1/5*g**4 = 0. Calculate g.
-2, 0
Let c(v) be the third derivative of v**7/105 + v**6/30 + v**5/30 - 19*v**2. Find d, given that c(d) = 0.
-1, 0
Let r be (8 - (-560)/(-60))*(-3)/2. Solve -6/11*w**r + 8/11*w + 8/11 = 0 for w.
-2/3, 2
Solve 36/5*w + 24/5*w**2 - 4/5*w**3 - 2/5*w**4 - 54/5 = 0 for w.
-3, 1, 3
Let n(i) = 12*i**3 + 17*i**2 - 31*i + 17. Let a(k) = -2*k**3 - 3*k**2 + 5*k - 3. Let q(l) = 34*a(l) + 6*n(l). Factor q(j).
4*j*(j - 2)*(j + 2)
Let g = 5 + -7. Let k be (-4)/(-4) + g/2. Factor 0*z**4 + z**5 + z**3 + 2*z**4 + k*z**3.
z**3*(z + 1)**2
Suppose y - 21 = -4. What is t in -17 - t**4 + y = 0?
0
Let h(n) be the first derivative of n**9/1008 - n**7/280 + 2*n**3/3 + 4. Let m(z) be the third derivative of h(z). Solve m(v) = 0 for v.
-1, 0, 1
Let -i + 20*i**4 + 9*i - 9*i**2 - 11*i**2 + 28*i**5 - 36*i**3 = 0. What is i?
-1, 0, 2/7, 1
Suppose -2*h + 13 - 3 = 0, x - 5*h = -23. Factor -2/7*u**x + 6/7 - 4/7*u.
-2*(u - 1)*(u + 3)/7
Suppose -2*n = -2*s + 10, -s + 11 = n - 3*n. Let t be 1/1*(n - -6). Factor t*w + 1/2 - 1/2*w**2.
-(w - 1)*(w + 1)/2
Let y(q) be the first derivative of -q**4/7 + 4*q**3/21 + 2*q**2/7 - 4*q/7 + 14. Solve y(r) = 0 for r.
-1, 1
Suppose -3*u + 2*k - 46 = -8*u, 2*u + 3*k = 14. Let s = -7 + u. What is j in 2*j**2 + s*j - j + j**2 = 0?
-2/3, 0
Let b(w) be the third derivative of 5/21*w**4 - 8/21*w**3 - 2*w**2 - 1/15*w**5 + 0*w + 0 + 1/140*w**6. Determine s, given that b(s) = 0.
2/3, 2
Let r(m) = -4*m**3 + 5*m**2 + 4*m. Let k(l) = 2*l**3 - 2*l**2 - 2*l. Let t(j) = 5*k(j) + 2*r(j). Solve t(a) = 0 for a.
-1, 0, 1
Let j(d) be the second derivative of -2/3*d**3 - 5/6*d**4 + 1/3*d**6 + 0*d**5 + 2*d + 0 + 2/21*d**7 + 0*d**2. Find o, given that j(o) = 0.
-2, -1, -1/2, 0, 1
Suppose -4*d + 6 = -4*f - 6, -4*f + 18 = 2*d. Suppose d*x - 27 = -2. Factor 1/4*p**4 + 0*p - 1/4*p**3 + 0 - 1/4*p**2 + 1/4*p**x.
p**2*(p - 1)*(p + 1)**2/4
What is g in -10*g**2 - 10 + 2*g**4 - 6*g + 10*g**2 - 22*g - 4*g**3 - 24*g**2 = 0?
-1, 5
Let d be 1*(-1)/4 - 2/(-8). Factor d - 7/4*r**4 + 0*r - r**5 + 1/4*r**2 - 1/2*r**3.
-r**2*(r + 1)**2*(4*r - 1)/4
Let q(n) be the first derivative of 35*n**6/24 - 93*n**5/10 + 175*n**4/16 + 13*n**3/3 - 15*n**2/2 - 4*n + 46. Find s such that q(s) = 0.
-2/5, -2/7, 1, 4
Let v(s) be the second derivative of 0*s**2 - 2/15*s**3 + 0 - 1/10*s**5 - 2*s + 1/15*s**7 + 3/10*s**4 - 3/25*s**6. Find c such that v(c) = 0.
-1, 0, 2/7, 1
Let a be 4/(-56) - ((-16)/28 - 0). Suppose 0 + a*z + 2*z**3 + 5/2*z**2 = 0. What is z?
-1, -1/4, 0
Let k be (1*-54)/(15/(-10)). Find h such that 57*h**3 + 6 - k*h**4 + 8*h - 35*h + 0 = 0.
-2/3, 1/4, 1
Let m = 763/2 + -381. Find s such that 7/4*s + m + 5/4*s**2 = 0.
-1, -2/5
Let m(f) = f**3 - 7*f**2 + 7*f - 5. Let u be m(6). Let t be 3 + 1 + 0 - u. Solve 2*h - 4*h**2 -