**2 + 48*i**2 + 10*i = 0. What is i?
1, 12
Let y(h) be the third derivative of h**8/28000 + h**7/4500 + h**6/4500 - 3*h**4/8 + 22*h**2. Let s(i) be the second derivative of y(i). What is l in s(l) = 0?
-2, -1/3, 0
Let h be ((-464)/(-240) - (-1 - -3))/(2/(-36)). Factor 0 + h*l + 3/5*l**2.
3*l*(l + 2)/5
Let i = 538 - 536. Let k(r) be the first derivative of 3/4*r**i + 0*r**3 + r + 3 - 1/8*r**4. Find j such that k(j) = 0.
-1, 2
Let m(h) be the first derivative of 1/72*h**4 + 0*h**3 - 1/180*h**5 + 4 + 1/2*h**2 + 0*h. Let d(p) be the second derivative of m(p). Factor d(o).
-o*(o - 1)/3
Let y(f) be the third derivative of 0 + 5/12*f**4 + 6*f**2 + 0*f + 5/2*f**3 - 1/12*f**5. Determine p, given that y(p) = 0.
-1, 3
Let h(t) be the first derivative of -10 - 5/4*t**4 + 625*t - 375/2*t**2 + 25*t**3. Factor h(n).
-5*(n - 5)**3
Let o = -27924 - -55849/2. Factor l - o*l**2 + 4.
-(l - 4)*(l + 2)/2
Let r(t) be the second derivative of t**6/2 + 9*t**5/20 - 31*t**4/2 + 12*t**3 - t + 213. Find o, given that r(o) = 0.
-4, 0, 2/5, 3
Let p(j) = -j**3 - 46*j**2 + 39*j + 1797. Let k be p(-46). Let 19/4*t**2 - 2*t - 7/4*t**k - 1 = 0. What is t?
-2/7, 1, 2
Let w(z) be the third derivative of -z**8/112 + 3*z**7/70 + 45*z**2. Solve w(q) = 0.
0, 3
Let u(g) = -3*g**3 - 5*g**2 + 2. Let m(q) = 10*q**3 + 16*q**2 - q - 7. Let d(r) = -2*m(r) - 7*u(r). Factor d(h).
h*(h + 1)*(h + 2)
Suppose -4*v - 14 = 3*l, 2*v + 9 + 1 = 0. Factor -1593 - 47*t + 3*t**l + 1785 - t.
3*(t - 8)**2
Solve -3/2*j**3 - 51/2*j + 15*j**2 + 12 = 0 for j.
1, 8
Let n be 70*(1/(-6) + 0)*(-11 - -7). Find k, given that 12*k**5 + 16/9 + n*k**4 + 628/9*k**3 + 16*k + 148/3*k**2 = 0.
-1, -2/3, -2/9
Let x(b) be the second derivative of 0*b**2 - 1/3*b**3 - 31*b + 1/2*b**4 + 0. What is l in x(l) = 0?
0, 1/3
Let z(r) be the third derivative of -2/3*r**3 + 0 + 0*r + 1/30*r**6 + 19*r**2 + 7/12*r**4 - 7/30*r**5. Solve z(u) = 0.
1/2, 1, 2
Let r(z) be the second derivative of 0 + 2*z + 1/120*z**5 - 1/6*z**3 - 1/2*z**2 + 1/48*z**4. Let p(v) be the first derivative of r(v). Let p(l) = 0. What is l?
-2, 1
Let r(c) be the first derivative of c**4/10 + 8*c**3/5 - 512*c/5 - 24. Determine h, given that r(h) = 0.
-8, 4
Let w(o) be the second derivative of 1/4*o**5 + 0*o**4 + 0*o**3 + 0 - 1/6*o**6 - 9*o + 0*o**2. Solve w(b) = 0.
0, 1
Let w(q) be the second derivative of q**6/840 - q**5/70 - 3*q**4/14 + 5*q**3 + 13*q. Let b(a) be the second derivative of w(a). Factor b(m).
3*(m - 6)*(m + 2)/7
What is k in 4/7 - 72/7*k**3 + 24*k**2 - 50/7*k = 0?
1/6, 2
Suppose 2*j - o - 9 = 0, -j = -2*j - 5*o + 32. Suppose -4*q = j - 23. Factor 12*k**2 + 8*k**2 + 5*k**2 - q*k - 11*k**2.
2*k*(7*k - 2)
Let c(d) = -d**2 + d. Let u = 1 - 1. Let p = u + -1. Let a(h) = 2*h**4 - 4*h**3 + 12*h**2 - 8*h - 2. Let w(q) = p*a(q) - 12*c(q). Factor w(o).
-2*(o - 1)**3*(o + 1)
Suppose 0 = 5*u - 2*h - 844, -295 = 4*u + 4*h - 959. Determine q, given that 9*q**5 + 264*q**2 + 8*q**4 - 60*q**2 + 21*q**5 + 13 - 1 - u*q**3 - 86*q = 0.
-3, 1/3, 2/5, 1
Let g = -648 - -650. Let w(u) be the first derivative of 18/7*u - 4 - 6/7*u**g + 2/21*u**3. Factor w(n).
2*(n - 3)**2/7
Let -140/3*b**2 - 5/3*b**5 + 70/3*b**4 + 70/3 - 5/3*b + 10/3*b**3 = 0. What is b?
-1, 1, 14
Let f be (-8 - -10) + 1521/12 - 3. Let j = f + -247/2. Factor 3/4*g**2 - 3*g + j.
3*(g - 3)*(g - 1)/4
Let x = -598 - -598. Let w(n) be the second derivative of -1/75*n**6 + 0*n**5 + 1/30*n**4 + x - 3*n + 0*n**2 + 1/210*n**7 - 1/30*n**3. Factor w(t).
t*(t - 1)**3*(t + 1)/5
Suppose -12 = -5*n + 3. Suppose n*y + 11 = 17. Let 174 - o**2 - 2*o**3 - 174 - 3*o**y = 0. What is o?
-2, 0
Let k(n) be the third derivative of -n**6/120 + n**5/30 - n**4/24 + 253*n**2. Factor k(u).
-u*(u - 1)**2
Let f(u) be the third derivative of -u**6/480 + 119*u**5/240 - 235*u**4/96 + 39*u**3/8 - 505*u**2. Factor f(l).
-(l - 117)*(l - 1)**2/4
Let q(d) = -d**3 - 4*d**2 - 4*d. Let y be q(-3). Let s be 4140/180 + (10 - 33). Solve 0*z**2 + 0*z + 5/4*z**y + s = 0.
0
Solve 70*t + 190*t - 27 + 85*t**2 - 32 + 74 = 0.
-3, -1/17
Let z(k) = -2*k - 16. Let t(r) = r**3 - 4*r**2 - 2*r - 1. Let q be t(4). Let h be z(q). Find y, given that 0 + 2/5*y**h + 2/5*y**3 + 2/15*y + 2/15*y**4 = 0.
-1, 0
Let k(c) be the first derivative of -c**4/4 + c**3 - c**2 - 178. Solve k(z) = 0 for z.
0, 1, 2
Suppose 2*w - 1 = -3*a, -25 = 3*w + 4*a - 27. Factor w - 1/3*s**2 - 1/3*s.
-(s - 2)*(s + 3)/3
Let t(r) = 4*r**2 - 12*r + 10. Let a(j) = -j**2 + j + 1. Let w(l) = 2*a(l) + t(l). Let w(u) = 0. What is u?
2, 3
Suppose 0*p - 3*p + 60 = 3*b, 2*p - 5*b = 12. Factor 15 - 39 + p + 12*t + t**3 - 6*t**2.
(t - 2)**3
Let s(w) be the first derivative of -28 + 1/20*w**2 - 3/40*w**4 + 0*w - 1/10*w**6 + 11/50*w**5 - 1/10*w**3. Find z such that s(z) = 0.
-1/2, 0, 1/3, 1
Let j = -3612 - -3617. Factor 20/3*u**3 + 10/3*u**2 - 25/3*u + 10/3 - 20/3*u**4 + 5/3*u**j.
5*(u - 2)*(u - 1)**3*(u + 1)/3
Let c(g) = g**2 + 3*g - 4. Let a be c(-4). Let z = -3437 + 3437. Factor z*u + a - 2/11*u**2.
-2*u**2/11
Let x be (-224)/(-1232) + (-76)/(-66). Let q(p) be the second derivative of 8*p**2 + 4*p + 0 - 1/2*p**5 - 1/15*p**6 - p**4 + x*p**3. Factor q(w).
-2*(w - 1)*(w + 2)**3
Let m = -9 + 11. Suppose 2*d = -2*f + 10, 6*d - m*d - 20 = -2*f. Let 0 + f*y + 2/7*y**2 + 6/7*y**4 + 8/7*y**3 = 0. Calculate y.
-1, -1/3, 0
Factor -386*s**3 + 3*s**4 + 213*s**3 + 197*s**3 + 45*s**2.
3*s**2*(s + 3)*(s + 5)
Suppose 5*g + 147 = 4*w, 3*w = -3*g + 7*w - 85. Let d be (-15)/(-22) - g/(-62). What is c in 0 + 0*c + 0*c**2 + d*c**5 + 0*c**4 + 0*c**3 = 0?
0
Let x(r) be the third derivative of -r**7/420 + 3*r**5/40 + r**4/12 - r**3 + 100*r**2. Factor x(d).
-(d - 3)*(d - 1)*(d + 2)**2/2
Let y(r) be the first derivative of -5*r**4/4 - 32*r**3/3 + 5*r**2/2 + 32*r + 129. Solve y(m) = 0 for m.
-32/5, -1, 1
Let n(q) be the first derivative of -q**5 - 5*q**4 - 25*q**3/3 - 5*q**2 - 158. Solve n(i) = 0 for i.
-2, -1, 0
Let c be 3/1 + 0 + -1. Let z be (-15 + (1 - -2))*(-4)/16. Factor -1 - i**2 + i + z - c.
-i*(i - 1)
Find y, given that 0 - 10/13*y**2 - 8/13*y - 2/13*y**3 = 0.
-4, -1, 0
Suppose 0 = -5*g + 298 + 52. Let v = 73 - g. Find h such that 0*h + 2/9*h**v - 2/9*h**4 + 2/9*h**2 - 2/9*h**5 + 0 = 0.
-1, 0, 1
Let j(t) be the second derivative of -t**5/4 + 5*t**4/12 + 10*t**3 + 93*t. Factor j(p).
-5*p*(p - 4)*(p + 3)
Suppose 156 = 3*x + 2*f, -2*x + 0*x + 104 = 4*f. Factor 40*c**2 + x*c - 16*c - 3*c**3 + 96 + 7*c**3 + 76*c.
4*(c + 2)**2*(c + 6)
Let n(k) be the third derivative of k**6/300 - 11*k**5/150 + 2*k**4/5 + 12*k**3/5 + 3*k**2 - 10*k. Find o such that n(o) = 0.
-1, 6
Let d be 4*4*(-6)/(-24). Let f be 30/7 - (d + 0). Factor 8/7*y - 8/7 - f*y**2.
-2*(y - 2)**2/7
Let p = 82696/9 + -9188. Let o = 640/2799 + -2/311. Factor -4/9*v**2 + 2/9*v**5 + 2/9*v - p*v**3 + o*v**4 + 2/9.
2*(v - 1)**2*(v + 1)**3/9
Let z(a) be the third derivative of a**8/8960 - a**6/320 - a**5/80 - a**4/12 + 2*a**3 + a**2 - 14*a. Let r(o) be the second derivative of z(o). Factor r(f).
3*(f - 2)*(f + 1)**2/4
Solve 12 - 19*l**4 + 30*l**4 - 9*l**2 - 14*l**4 - 3*l + 18*l - 15*l**3 = 0.
-4, -1, 1
Suppose 14 = 2*t - 4*o, 2*o + 2*o = 8. Let p(z) = -9*z**2 + 45*z - 24. Let h(k) = -19*k**2 + 91*k - 47. Let j(w) = t*p(w) - 6*h(w). Factor j(d).
3*(d - 3)*(5*d - 2)
Let y be (-4 + 19)/((-1)/(-2)). Let o = y + -28. Factor -2*p + 3*p**2 + p**o - 2*p.
4*p*(p - 1)
Let v(o) = -8*o**4 - 4*o**3 - 13*o**2 + 41*o. Let c(q) = -13*q**4 - 6*q**3 - 19*q**2 + 62*q. Let s(w) = -5*c(w) + 8*v(w). Find k, given that s(k) = 0.
-3, 0, 2, 3
Determine b, given that -78*b + 37*b - 27*b**3 - 109*b + 96 + 49*b**3 + 57*b**2 - 25*b**3 = 0.
1, 2, 16
Let n(w) be the first derivative of 20/3*w**3 - 5 + 18*w - 6/5*w**5 + 3/2*w**4 + 1/6*w**6 - 39/2*w**2. Factor n(q).
(q - 3)**2*(q - 1)**2*(q + 2)
Let m be (-2 - 0) + -2*(2 - 5). Factor -2/9*d**m - 4/9*d**3 - 2/9 + 4/9*d**2 + 2/9*d + 2/9*d**5.
2*(d - 1)**3*(d + 1)**2/9
Let o(i) = -i**3 - 6*i**2 + 8*i + 7. Let y be o(-7). Suppose 5*j - 17 = -3*r + 11, y = r - 5*j + 24. Let -3 - f**2 + r - 2*f + 2 = 0. Calculate f.
-2, 0
Let u(r) be the first derivative of -r**3/5 - 9*r**2 - 135*r + 137. Solve u(b) = 0 for b.
-15
Factor 1/4*u**2 - 75/4 + 5/2*u.
(u - 5)*(u + 15)/4
Factor 47/6*x**2 + 1/6*x - 1/6*x**3 - 47/6.
-(x - 47)*(x - 1)*(x + 1)/6
Determine b, given that -3/5*b**5 +