e the second derivative of 1/2*u**3 + 0*u**2 + 0 + 1/4*u**h + 2*u. Let m(s) = 0. What is s?
-1, 0
Factor -5*b**2 - 146 + 155*b - 85*b - 186 + 87.
-5*(b - 7)**2
Let d(o) be the first derivative of o**4/40 - 52*o**3/15 - 92. Suppose d(i) = 0. Calculate i.
0, 104
Suppose -3315*m + 3327*m = 60. Let f(j) be the third derivative of -1/40*j**6 + 0 + 0*j**4 + 0*j**3 + 0*j + 1/10*j**m - 4*j**2. Factor f(h).
-3*h**2*(h - 2)
Let h = -599 + 9585/16. Let n(v) be the second derivative of 0 + 1/56*v**7 + 9/80*v**5 + 0*v**2 + 4*v + 3/40*v**6 + 0*v**3 + h*v**4. Factor n(o).
3*o**2*(o + 1)**3/4
Let u(d) = -d - 13. Let f be u(-11). Let c be -4 + (8 - 4) - f/10. Solve -2/5*b - c - 1/5*b**2 = 0.
-1
Let u(h) = -2*h**3 + 26*h**2 + 61*h + 6. Let x be u(-2). Suppose 40/19*g**x - 86/19*g**3 + 8/19*g**2 + 8/19*g + 0 = 0. Calculate g.
-1/4, 0, 2/5, 2
Let 613*p**3 + 7*p**2 - 27*p**2 - 609*p**3 = 0. What is p?
0, 5
Let q = -842 - -842. Let s(w) be the third derivative of -1/24*w**4 + q*w + 0 - 9*w**2 - 1/3*w**3 + 1/60*w**5. Solve s(o) = 0 for o.
-1, 2
Factor 42/5 + 44/5*a + 2/5*a**2.
2*(a + 1)*(a + 21)/5
Suppose 2/5*v**3 + 0 + 6/5*v**2 - 16*v = 0. Calculate v.
-8, 0, 5
Factor 0 - 6/5*b - 2/5*b**4 - 2/5*b**3 + 2*b**2.
-2*b*(b - 1)**2*(b + 3)/5
Let k = 34 - 5. Factor -5 + k*x**2 - 3 + 2 - 14*x**2 + 9*x.
3*(x + 1)*(5*x - 2)
Let l(c) be the first derivative of -14*c**6/9 - 32*c**5/5 - 26*c**4/3 - 16*c**3/9 + 6*c**2 + 16*c/3 - 156. Solve l(d) = 0 for d.
-1, 4/7
Let u(s) be the third derivative of -3 - 2*s**2 - 1/20*s**5 + 0*s + 7/48*s**4 - 1/240*s**6 + 0*s**3. Factor u(f).
-f*(f - 1)*(f + 7)/2
Suppose 5*o - 22 = 3. Suppose 2*v + 9 = o*v. Suppose -2*x**2 + 0*x**2 - 3*x**3 + 2*x**3 + 4*x**v = 0. Calculate x.
0, 2/3
Find b such that 7*b - 48*b - 3*b + 8 + 16*b**5 + 44*b**2 - 61*b**4 + 28*b**3 + 9*b**4 = 0.
-1, 1/4, 1, 2
Let n = 28512/5 + -5702. Let 2/5*d**2 - 2/5*d**4 + 0 + n*d - 2/5*d**3 = 0. What is d?
-1, 0, 1
Solve 8/11*t**2 - 48/11*t - 1/11*t**4 + 0 + 5/11*t**3 = 0.
-3, 0, 4
Let c(x) = -12*x**3 - 430*x**2 + 1319*x - 899. Let o(q) = -9*q**3 - 322*q**2 + 989*q - 674. Let a(j) = 8*c(j) - 11*o(j). Factor a(l).
3*(l - 2)*(l - 1)*(l + 37)
Let x(h) be the third derivative of h**5/20 - h**4/12 - h**3/2 - 9*h**2. Let w(i) = -4*i**2 + 3*i + 4. Let a(v) = -2*w(v) - 3*x(v). Suppose a(d) = 0. What is d?
-1, 1
Let f(a) be the third derivative of -a**8/13440 - a**7/5040 + a**6/1440 + a**5/240 + 5*a**4/6 + 6*a**2. Let g(z) be the second derivative of f(z). Factor g(b).
-(b - 1)*(b + 1)**2/2
Factor -21675/7 - 510/7*r - 3/7*r**2.
-3*(r + 85)**2/7
Let g(h) be the third derivative of -1/300*h**6 + 0*h**3 - h**2 + 1/525*h**7 - 1/150*h**5 + 1/60*h**4 + 0 + 0*h. Factor g(o).
2*o*(o - 1)**2*(o + 1)/5
Let c(d) be the second derivative of d**4/36 - 5*d**3/3 - 31*d**2/6 + 433*d. Solve c(w) = 0.
-1, 31
Let p(m) be the second derivative of -m**6/210 - m**5/35 - m**4/28 + 2*m**3/21 + 2*m**2/7 + 242*m - 2. Let p(a) = 0. Calculate a.
-2, -1, 1
Factor -2/3*d - 8/3*d**2 + 10/3*d**3 + 0.
2*d*(d - 1)*(5*d + 1)/3
Let q(t) = -t**4 - t**2 + t + 1. Let v(u) = 22*u - 24*u + 2*u**4 - 2 + 4*u**2 + 0*u**2 + 9*u**3 - 5*u**2 - 12*u**5. Let r(l) = -2*q(l) - v(l). Factor r(i).
3*i**2*(i + 1)*(2*i - 1)**2
Let i = -6 - -10. Suppose 25*q - 2*o + 3 = 24*q, -2*q - 3*o + 22 = 0. Solve -2/3*p**i - 4/9*p**3 - 2/9*p**q + 4/9*p**2 + 2/3*p + 2/9 = 0.
-1, 1
Let i = 84 - 81. Let b(c) be the first derivative of -c**4 + 2/3*c**i + 2*c**2 + 2 - 2/5*c**5 + 0*c. Suppose b(z) = 0. Calculate z.
-2, -1, 0, 1
Let d(t) be the second derivative of 3*t**5/20 + 91*t**4/2 + 8281*t**3/2 + 65*t. Suppose d(z) = 0. What is z?
-91, 0
Let i(s) be the third derivative of 1/42*s**5 - 1/420*s**6 + 0 - 58*s**2 + 0*s - 3/7*s**3 - 1/28*s**4. Solve i(c) = 0 for c.
-1, 3
Let n(x) = -x**3 + 9*x**2 - 7*x - 6. Let z be (4/6)/(3/36). Let a be n(z). Factor -6 - 10*t**2 + 9*t**2 - 3*t + 4*t**a.
3*(t - 2)*(t + 1)
Let v = 1285 - 1282. Find o such that 0 + 3/2*o**2 + v*o = 0.
-2, 0
Let q(g) be the second derivative of -g**6/180 + g**5/30 + g**4/4 - 2*g**3/3 - 15*g. Let m(n) be the second derivative of q(n). Let m(t) = 0. What is t?
-1, 3
Let l(a) be the third derivative of -46*a**2 + 0*a + 96/7*a**3 - 4/7*a**4 + 1/105*a**5 + 0. Suppose l(n) = 0. Calculate n.
12
Let b = 110 + -105. Factor 2*p**4 + 9*p**3 - 16*p**2 + 2*p**3 + b*p**3 - 6*p**4.
-4*p**2*(p - 2)**2
Let o(t) be the third derivative of -t**6/180 - t**5/20 - t**4/6 + t**3 + 4*t**2. Let h(a) be the first derivative of o(a). Factor h(w).
-2*(w + 1)*(w + 2)
Let l(p) be the first derivative of 0*p + 24 + 3/10*p**5 + 9/8*p**4 - 3*p**2 + 0*p**3. Determine n so that l(n) = 0.
-2, 0, 1
Let n = -3095 - -15477/5. Factor v - 1/5*v**5 - 4/5*v**4 + 2/5 - 4/5*v**3 + n*v**2.
-(v - 1)*(v + 1)**3*(v + 2)/5
Solve -24/7 - 10/7*k**4 - 4/7*k**3 + 10*k**2 - 32/7*k = 0.
-3, -2/5, 1, 2
Solve 13*y**2 - y**2 + 16*y**3 + 2*y**2 + 10 - 18*y**3 - 22*y = 0 for y.
1, 5
Let n(c) be the first derivative of c**6/3240 - c**5/540 - 10*c**3/3 + 1. Let b(i) be the third derivative of n(i). Factor b(d).
d*(d - 2)/9
Let a = -124 + 94. Let k be 20/a*(-1 - 5/(-8)). Factor 1/4*m**2 + k*m + 0.
m*(m + 1)/4
Let o(v) = 11*v**3 + 1357*v**2 + 116953*v + 115579. Let a(g) = -10*g**3 - 1358*g**2 - 116954*g - 115582. Let k(p) = -7*a(p) - 6*o(p). Factor k(r).
4*(r + 1)*(r + 170)**2
Factor 0*j**3 + 2*j**2 - 4*j**3 + 0*j**2 + 0*j**2 + 2*j**2 + 8*j.
-4*j*(j - 2)*(j + 1)
Suppose -31 = -112*s + 417. Factor -4/3*c**2 - 8/3*c - 76/3*c**s + 20*c**3 + 0 + 28/3*c**5.
4*c*(c - 1)**3*(7*c + 2)/3
Let j(a) be the second derivative of a**6/45 - a**5/15 - 65*a. What is g in j(g) = 0?
0, 2
Let a = -32/3 - -11. Let r(s) be the second derivative of -1/5*s**5 - a*s**4 + 0*s**3 + 0*s**2 + 3*s - 1/30*s**6 + 0. Suppose r(w) = 0. What is w?
-2, 0
Factor -460*d**3 + 46080 + 44160*d + 586*d**4 + 5880*d**2 - 191*d**4 - 194*d**4 - 196*d**4 + 3740*d**2.
5*(d - 48)**2*(d + 2)**2
Let r be 2/(4/(-6))*-1. Factor -7*a**3 + 2 + 5*a**5 + 3 + 0*a + 5*a**4 - 10*a**2 + 5*a - r*a**3.
5*(a - 1)**2*(a + 1)**3
Let x(w) = w**2 - 321*w + 1892. Let n be x(6). Solve -2/5*y**3 + 4/5*y + 0 - 2/5*y**n = 0 for y.
-2, 0, 1
Let c(h) be the third derivative of -1/75*h**6 + 7/60*h**4 - 9/50*h**5 + 30*h**2 + 0*h + 0*h**3 + 0. Find n, given that c(n) = 0.
-7, 0, 1/4
Let a = 11893/3 + -3963. Factor 0 - y + a*y**2 - 1/3*y**3.
-y*(y - 3)*(y - 1)/3
Let a(r) be the second derivative of r**8/2240 + r**7/4200 - r**4/3 + 13*r. Let t(j) be the third derivative of a(j). Factor t(d).
3*d**2*(5*d + 1)/5
Let g = 336 - 7052/21. Let p(a) be the first derivative of 2/7*a - 6/35*a**5 + 3/7*a**2 - 1/7*a**4 - 2 + g*a**3 - 1/21*a**6. Suppose p(n) = 0. Calculate n.
-1, 1
Factor -52/9*l - 2/9*l**2 - 338/9.
-2*(l + 13)**2/9
Factor 4/13 + 0*w**2 - 2/13*w**3 + 6/13*w.
-2*(w - 2)*(w + 1)**2/13
Let q(t) = 369*t**2 - 4944*t - 1341. Let o(r) = -23*r**2 + 309*r + 84. Let y(l) = 33*o(l) + 2*q(l). Factor y(k).
-3*(k - 15)*(7*k + 2)
Let z(d) be the third derivative of -d**6/40 - 39*d**5/10 - 507*d**4/2 - 8788*d**3 + 351*d**2 + d. Factor z(n).
-3*(n + 26)**3
Let k be (-21)/(-14)*210/9. Determine c so that 31*c**2 + 6*c - k*c**2 + 4*c**3 - c**3 - 5*c**3 = 0.
-3, 0, 1
Let h(z) be the third derivative of z**8/144 - 5*z**7/42 - 211*z**6/360 + 23*z**5/180 + 17*z**4/6 + 26*z**3/9 - 535*z**2. What is p in h(p) = 0?
-2, -1, -2/7, 1, 13
Let s(f) be the first derivative of -2*f**3/9 - 32*f**2/3 - 512*f/3 + 44. Determine v, given that s(v) = 0.
-16
Let h(o) be the second derivative of -3/2*o**3 - 25*o - 4/5*o**5 - 1/2*o**2 - 2*o**4 + 0. Let h(m) = 0. What is m?
-1, -1/4
Factor -2/3*d**3 - 1/3*d**5 + 9*d + 2*d**4 - 10/3 - 20/3*d**2.
-(d - 5)*(d - 1)**3*(d + 2)/3
Let n(h) be the second derivative of -3/4*h**5 + 3/10*h**6 + 0 + 2*h + 0*h**2 + 2*h**3 - h**4. Suppose n(w) = 0. What is w?
-1, 0, 2/3, 2
Factor 1440*v**2 - 18*v**4 - 16*v**4 - 1280*v - 165*v**3 + 39*v**4.
5*v*(v - 16)**2*(v - 1)
Let h = -448 - -448. Let j(a) be the first derivative of -1/9*a**3 + h*a + 2 - 1/12*a**4 + 0*a**2. Determine q, given that j(q) = 0.
-1, 0
Let u(r) = -2*r + 84. Let w be u(0). Let s = -251/3 + w. Let -s*x + 2/3 - 1/3*x**2 = 0. Calculate x.
-2, 1
Let k be -18*(6/18)/(-1). Let s be 56/26 - (k - 4). Suppose 4/13 + s*t**2 - 6/13*t = 0. What is t?
1, 2
Suppose -4*d + 9*d - 863 = -t, 5