**6 + 48*b - 14/3*b**4 + 58 + 26*b**2. Suppose i(n) = 0. What is n?
-1, 3, 4
Let s(y) be the first derivative of 2*y**5/5 + 33*y**4/2 + 62*y**3/3 - 33*y**2 - 64*y + 1173. Factor s(p).
2*(p - 1)*(p + 1)**2*(p + 32)
Suppose 2368*c - 2366*c = -4*j - 12, 13*j = -3*c + 3. Factor 0 + 32/3*k - 5/3*k**4 + 14*k**j - 32*k**2.
-k*(k - 4)**2*(5*k - 2)/3
Let t(f) be the first derivative of 50/17*f + 65 + 10/17*f**2 + 2/51*f**3. Solve t(m) = 0 for m.
-5
Let o(a) = a**2 + 9904*a - 4880732. Let b(u) = -10*u**2 - 118840*u + 58568780. Let g(h) = -3*b(h) - 35*o(h). Factor g(l).
-5*(l - 988)**2
Let s(d) = 22555*d - 225548. Let u be s(10). Find g, given that -2/19*g**3 + 6/19*g - 4/19 + 0*g**u = 0.
-2, 1
Let d be (8/(-48))/((-2)/36). Let x(p) = -p**3 - 4*p**2 + 5*p + 3. Let w be x(-5). Solve -12*n**2 + 5*n**3 - d*n**4 - n**4 + 4*n + n**3 + 6*n**w = 0.
0, 1
Let b(g) = -11245*g**2 - 22435*g + 110. Let y(q) = -7497*q**2 - 14957*q + 74. Let d(t) = -7*b(t) + 10*y(t). Factor d(h).
5*(h + 2)*(749*h - 3)
Let t(i) be the first derivative of i**4 + 316*i**3 + 37446*i**2 + 1972156*i - 186. Factor t(m).
4*(m + 79)**3
Let b(h) be the second derivative of -1/6*h**3 + 3*h - 1/2*h**2 + 0 - 1/12*h**4. Let j(g) = 5*g**2 + 6*g + 5. Let c(d) = 4*b(d) + j(d). Factor c(m).
(m + 1)**2
Suppose 5*b - 3 = -4*t - 2, 0 = 3*t - 4*b - 24. Let o(z) = -z**2 + 5*z + 3. Let u be o(t). Factor 2*c**2 - c + 6 - u*c + 0*c.
2*(c - 3)*(c - 1)
Let w(u) be the second derivative of 605*u**4/12 + 8800*u**3 + 576000*u**2 - 1889*u. Let w(o) = 0. What is o?
-480/11
Suppose -5*c + 7 = -6*m, 5*m + 3*c - 18 = 4*m. Let w(j) be the third derivative of -3/8*j**4 + 1/20*j**5 - m*j**2 + 0 + 0*j**3 + 0*j. Let w(t) = 0. Calculate t.
0, 3
Let 1705032/11*y - 339864/11 - 150/11*y**4 - 2152734/11*y**2 + 35820/11*y**3 = 0. Calculate y.
2/5, 119
Suppose -3*x + 4*s - 22 = 0, 133*x - 4*s + 24 = 131*x. Factor -20/7*z - 6 - 2/7*z**x.
-2*(z + 3)*(z + 7)/7
Let b = -25201/6 - -50477/12. Factor -5/2 - 5/4*u**3 - b*u - 5*u**2.
-5*(u + 1)**2*(u + 2)/4
Let x = 810 - 485. Suppose -x - 257 = -6*u. Suppose u*q**2 - 150 - 46 + 56*q - 101*q**2 = 0. What is q?
7
Suppose -76*i + 3 + 17*i**2 - 3 - 16*i**3 + 15*i**3 + 23*i**2 = 0. What is i?
0, 2, 38
Let -54080/7 + 2/7*s**3 + 7488/7*s - 228/7*s**2 = 0. What is s?
10, 52
Suppose 485*n - 474*n - 19 = -m, 0 = -5*n + 3*m + 19. Let r(t) be the second derivative of -1/2*t**3 - 24*t - 5/4*t**n + 0 - 1/24*t**4. Solve r(o) = 0.
-5, -1
Let p be (7 - (-161)/(-21))/((-16)/(-2874)). Let a = 2491/20 + p. Determine k, given that -4/5*k**2 - 7*k**4 + 0*k - a*k**3 + 0 = 0.
-2/5, -2/7, 0
Let l(a) be the first derivative of a**3/6 - 129*a**2/2 + 256*a - 1875. Factor l(w).
(w - 256)*(w - 2)/2
Let y(s) be the third derivative of -s**5/20 - 231*s**4/8 + 233*s**3 + 9627*s**2. Let y(d) = 0. Calculate d.
-233, 2
Let f(w) be the second derivative of w**4/24 - 89*w**3/6 + 174*w**2 + 20*w + 80. What is q in f(q) = 0?
4, 174
Suppose -3*z + 3675 - 3657 = 0. Let g be -4 + z + (7 - 5). Factor -1/2*p**2 + 0*p**3 + 1/4 + 0*p + 1/4*p**g.
(p - 1)**2*(p + 1)**2/4
Let c be ((-178)/(-89))/(0 + (-2)/(-4)). Let l(a) be the first derivative of -39 + 3/5*a**c + 11/25*a**5 - 3/5*a**3 + 1/15*a**6 + 0*a + 0*a**2. Factor l(x).
x**2*(x + 3)**2*(2*x - 1)/5
Let u(t) be the first derivative of -6*t + 25/2*t**2 - 4/3*t**3 + 19 - 5/4*t**4. Let q(w) = -w**3 + w**2 - 1. Let s(c) = 6*q(c) - u(c). Factor s(v).
-v*(v - 5)**2
Let g(x) be the third derivative of -x**5/180 + 65*x**4/18 - 86*x**3/3 - 8*x**2 - 287. Suppose g(d) = 0. Calculate d.
2, 258
Determine o so that 88*o**4 - 243*o**3 - 336*o**2 - 73*o - 142*o**4 - 71*o - 3*o**5 = 0.
-12, -4, -1, 0
Let x(c) be the second derivative of c**5/20 - 61*c**4/6 + 1155*c**3/2 + 7938*c**2 + 739*c. Suppose x(a) = 0. Calculate a.
-4, 63
Suppose -19*y + 3*z = -23*y + 5, -4*z = 4*y - 4. Let x(g) be the second derivative of 0*g**y - 3/20*g**5 - g**4 + 0*g**3 + 0 - 8*g. Factor x(l).
-3*l**2*(l + 4)
Let w(j) be the second derivative of j**4/9 + 604*j**3/9 + 602*j**2/3 - 4181*j. Factor w(g).
4*(g + 1)*(g + 301)/3
Let l = -239 - -241. Let y(c) be the first derivative of 2/3*c**l - 21 + 0*c - 1/6*c**4 - 2/9*c**3. Find h such that y(h) = 0.
-2, 0, 1
Let l(c) = c**3 - 5*c**2 + 2. Let i be l(5). Suppose -i*z - 8 = -6*z. Let -276*v + 6*v**2 - v**z + 286*v - 5*v**3 = 0. Calculate v.
-1, 0, 2
Let 2/7*x**2 + 1264/7 + 636/7*x = 0. Calculate x.
-316, -2
Let u be -417*(2/(-7))/(102/1190). Factor u*r**2 - 5*r**3 + 60*r - 719*r**2 - 726*r**2.
-5*r*(r - 1)*(r + 12)
Suppose -46*a + 34 + 196 = 0. Suppose -4*c - l + 3 = 0, 0 = a*c + l - 7 + 4. Determine r, given that -2/9*r**4 + 4/9*r + c*r**3 + 0 + 2/3*r**2 = 0.
-1, 0, 2
Suppose -b = -4*j + 13, -4*b = 3*j - 9*b - 31. Find y such that 22*y**j - 6*y**4 - 6*y**3 + 7*y**4 - 26*y**2 - 3*y**4 = 0.
-2, -1, 0
Let o(c) be the first derivative of c**9/13608 + c**8/1512 + c**7/540 + c**6/540 + 4*c**3/3 - 42. Let a(n) be the third derivative of o(n). Factor a(t).
2*t**2*(t + 1)**2*(t + 3)/9
Let r(m) be the first derivative of 51*m**6/70 - 213*m**5/70 + 3*m**4 - 4*m**3/7 - 117*m + 180. Let k(f) be the first derivative of r(f). What is t in k(t) = 0?
0, 2/17, 2/3, 2
Let v(s) be the first derivative of s**5/72 + 25*s**4/36 + 125*s**3/9 - 22*s**2 - 46. Let f(b) be the second derivative of v(b). What is j in f(j) = 0?
-10
Let i(h) be the first derivative of -1 + 0*h - 1/390*h**5 + 0*h**4 + 1/780*h**6 + 0*h**3 + 33/2*h**2. Let f(x) be the second derivative of i(x). Factor f(n).
2*n**2*(n - 1)/13
Let -1932 - 1941 + 120*h + 18*h**2 - 2*h**3 - 40*h**2 + 3873 = 0. Calculate h.
-15, 0, 4
Suppose -5*o - 14 - 6 = 0. Let q be ((-2)/o)/(3/12). Factor -7*h**3 + h**2 + 7*h**3 - 2*h**q - h**3.
-h**2*(h + 1)
Let n(y) be the first derivative of 0*y**3 - 1/25*y**5 - 1/5*y**2 - 8 + 1/10*y**4 + 1/5*y. Factor n(z).
-(z - 1)**3*(z + 1)/5
Let k(w) be the second derivative of -1/140*w**5 + 1/28*w**4 + 0*w**3 + 0*w**2 + 0 - 2*w + 1/294*w**7 - 1/70*w**6. Suppose k(a) = 0. What is a?
-1, 0, 1, 3
Let x = -89 + 115. Factor x*f - 2*f + 20 - 12*f**2 + 16*f**2.
4*(f + 1)*(f + 5)
Factor -4*o**2 - 88*o**2 + 21*o**3 + 152*o - 176*o + 14*o**2.
3*o*(o - 4)*(7*o + 2)
Let k(a) = -125*a**5 + 1019*a**4 - 80*a**3 - 11*a**2 + 22*a. Let y(u) = 63*u**5 - 509*u**4 + 42*u**3 + 6*u**2 - 12*u. Let j(r) = -6*k(r) - 11*y(r). Factor j(f).
f**3*(f - 9)*(57*f - 2)
Let p(y) be the second derivative of 8*y**4/3 - 22*y**3/3 - 2*y**2 + 2*y + 53. Let k(t) = t**2 - t + 2. Let b(r) = 8*k(r) + p(r). Let b(z) = 0. What is z?
3/10, 1
Suppose 4*p - 6*z = -5*z + 10, 5*z - 4 = 2*p. Factor 51*t - 30 - t**2 - 15*t**2 - 8*t**2 - p*t**3 + 6*t.
-3*(t - 1)**2*(t + 10)
Let f(m) be the first derivative of -29/18*m**3 + 5/48*m**4 + 19/6*m**2 + 47 + 10/3*m. Factor f(p).
(p - 10)*(p - 2)*(5*p + 2)/12
Let v(t) be the first derivative of -t**5/20 - 179*t**4/16 - 2699*t**3/4 - 7565*t**2/8 + 7921*t/2 + 5799. Find g, given that v(g) = 0.
-89, -2, 1
Let u(z) be the third derivative of -z**6/90 + z**5/9 + z**4/18 - 10*z**3/9 - 1760*z**2. Factor u(x).
-4*(x - 5)*(x - 1)*(x + 1)/3
Suppose 16*p - 42 = 22. Let q(x) be the second derivative of 25/12*x**p - 4*x + 0 + 15/2*x**2 + 1/4*x**5 + 35/6*x**3. What is r in q(r) = 0?
-3, -1
Let a(v) be the third derivative of v**6/780 + 5*v**5/78 + 53*v**4/52 + 45*v**3/13 - 252*v**2 + 2*v. Solve a(x) = 0.
-15, -9, -1
Let p(h) be the first derivative of -h**5/20 - 3*h**4/8 - h**3 + 9*h**2/2 + 3*h - 31. Let i(v) be the second derivative of p(v). Factor i(t).
-3*(t + 1)*(t + 2)
Let v = 2664469/3 - 888111. What is a in 24*a - 2/3*a**2 - v = 0?
2, 34
Let u = 71339/330 + -3242/15. Let r(k) be the first derivative of -30 - 1/55*k**5 - u*k**4 + 1/22*k**2 + 2/33*k**3 + 1/66*k**6 - 1/11*k. Factor r(q).
(q - 1)**3*(q + 1)**2/11
Let p(r) be the third derivative of -r**7/24 + r**6/12 + r**5/24 - 21*r**3/2 - 82*r**2. Let h(i) be the first derivative of p(i). Let h(n) = 0. Calculate n.
-1/7, 0, 1
Let a(h) be the third derivative of h**6/160 + 223*h**5/80 - 449*h**4/32 + 225*h**3/8 - 866*h**2. Find v, given that a(v) = 0.
-225, 1
Let t(i) be the third derivative of 7/12*i**3 - 1/20*i**4 + 23*i**2 + 1/600*i**5 + 0*i - 1. What is f in t(f) = 0?
5, 7
Let h = 3492 - 1072038/307. Let n = h + 5424/5219. Determine x, given that -4/17*x**5 - 18/17*x**4 - 4/17*x + 0 - 