is g?
-2, -1, 0, 1
Let h(p) be the third derivative of -p**8/5040 + 23*p**7/630 - p**6/4 + 49*p**5/30 - 18*p**2 + 1. Let w(j) be the third derivative of h(j). Factor w(c).
-4*(c - 45)*(c - 1)
Let v(d) be the second derivative of 0 + 1/42*d**4 + 1/35*d**5 + 0*d**2 + 0*d**3 + 155*d + 1/105*d**6. Factor v(j).
2*j**2*(j + 1)**2/7
Let x be (-14)/4 + 3 - 183/(-6). Determine r, given that -x - 127*r - 160*r - 21 - 22*r - 27*r**3 - 477*r**2 = 0.
-17, -1/3
Suppose 3*p = 4*l - 2*p - 28, 5*l - 4*p = 26. Let d(s) be the first derivative of 15 - 4/3*s**3 - l*s**2 - 4/3*s - 1/3*s**4. Solve d(x) = 0 for x.
-1
Suppose 2*t + 4*n + 8 = 0, -5*t = -t - 2*n - 14. Factor -8 + 2 + 8 + w**2 - 6*w**3 + 14*w + t*w**4 + 10 - 7*w**2.
2*(w - 3)*(w - 2)*(w + 1)**2
Let h(f) = 161*f**3 + 802*f**2 - 13*f + 10. Let u be h(-5). Solve -3/5*p**3 + 0 - 12/5*p**2 + u*p = 0.
-4, 0
Let g(y) be the first derivative of 4*y**5/5 - 71*y**4 + 92*y**3 + 142*y**2 - 280*y - 5518. Find k such that g(k) = 0.
-1, 1, 70
Let l(o) be the second derivative of 1/3*o**3 - 7*o**2 - 5*o + 1/120*o**5 - 5/48*o**4 + 0. Let d(n) be the first derivative of l(n). Let d(z) = 0. Calculate z.
1, 4
Factor 330*w**3 + 150*w**2 - 328*w**3 - 849*w**2 - 183*w**2.
2*w**2*(w - 441)
Let a(m) be the first derivative of 1/2*m**4 + 283 - 8*m + 8/3*m**3 - m**2. Suppose a(z) = 0. Calculate z.
-4, -1, 1
Suppose g + 10 = -2*u, 3*g + 257*u = 258*u + 5. Find m, given that 0 - 10/11*m**4 - 6/11*m**2 + g*m - 14/11*m**3 - 2/11*m**5 = 0.
-3, -1, 0
Factor 0*s**2 - 3/2*s + 3/2*s**3 - 3/4 + 3/4*s**4.
3*(s - 1)*(s + 1)**3/4
Let u = 20533 + -20531. Let m(d) be the second derivative of -10/3*d**u + 48*d + 2/15*d**5 - 4/3*d**4 + 28/9*d**3 + 2/45*d**6 + 0. What is i in m(i) = 0?
-5, 1
Let o(x) be the third derivative of -x**6/30 + 36*x**5/5 - 71*x**4/2 + 212*x**3/3 - 68*x**2. Factor o(p).
-4*(p - 106)*(p - 1)**2
Factor 5094*o - 5119*o + 0*o**3 + o**3.
o*(o - 5)*(o + 5)
Factor -47*m**2 - 19*m**2 - 25*m - 100*m + 61*m**2.
-5*m*(m + 25)
Let r = 2141227/9 + -237914. Solve -1/9*o**2 - r + 2/9*o = 0 for o.
1
Let v(k) be the first derivative of -63*k**4/4 + k**3/18 - 972. Factor v(t).
-t**2*(378*t - 1)/6
Let d(p) = 6*p + 20. Let c be d(-3). What is r in -r**5 + 113*r**3 - 38*r**2 - 102*r**c - 15*r**4 + 7*r**3 - 4*r**5 = 0?
-7, 0, 2
Let c(k) be the second derivative of -k**6/50 - 42*k**5/25 - 263*k**4/20 - 206*k**3/5 - 306*k**2/5 + 681*k. Find y, given that c(y) = 0.
-51, -2, -1
Let k be (-1 - -9) + (-6 - -4) - -1. Let d(g) = -g**3 + 6*g**2 + 8*g - 4. Let u be d(k). Let 0*x**3 + 2*x**2 - 8 - 55*x + x**u + 51*x = 0. Calculate x.
-2, 2
Let z(r) = r**2 + r. Let f(w) = 6*w**2 - w - 1. Let l(a) = -3 + 4 + 3 - 31*a**2 + 6*a. Let t(k) = -22*f(k) - 4*l(k). Let i(q) = -t(q) - 5*z(q). Factor i(s).
3*(s - 2)*(s + 1)
Let s(i) be the second derivative of 1/8*i**4 - 2*i - 107 + 1/6*i**3 - 1/20*i**5 - 1/120*i**6 - 5/8*i**2. Factor s(u).
-(u - 1)**2*(u + 1)*(u + 5)/4
Let k = -4920419/104 - -378495/8. Factor 132/13*t**2 - k*t**3 + 21296/13 - 2904/13*t.
-2*(t - 22)**3/13
Let b(l) = -58*l + 360. Let k be b(6). Suppose -5*m + 27 = 89*w - 85*w, m + k = 5*w. Factor 2 - 16/3*h - 2/3*h**4 + 0*h**w + 4*h**2.
-2*(h - 1)**3*(h + 3)/3
Let f(q) be the first derivative of -q**3/12 - 181*q**2/4 - 32761*q/4 - 374. What is j in f(j) = 0?
-181
Let r(m) be the second derivative of -m**6/16 + 29*m**5/120 - 17*m**4/48 + m**3/4 + 13*m**2 - 88*m. Let f(c) be the first derivative of r(c). Solve f(o) = 0.
1/3, 3/5, 1
Factor -335*s**2 + s**4 + s**4 + 117*s + 630 + 112*s + 3*s**4 + 45*s**3 + 26*s.
5*(s - 3)**2*(s + 1)*(s + 14)
Suppose 0 = -45*r + 48*r - 27. Let u be (28/(-7))/((-3)/(r/6)). Suppose -2/3 + g**u - 1/3*g = 0. What is g?
-2/3, 1
Let d = 942/5 - 188. Suppose 3*p = -k + 7, -12*k = -p - 11*k + 1. Let 2*h + d*h**p + 8/5 = 0. Calculate h.
-4, -1
Let a(c) be the second derivative of -16*c**6/135 - 16*c**5/45 - 4*c**4/9 - 8*c**3/27 - c**2/9 - 1295*c. Factor a(t).
-2*(2*t + 1)**4/9
Let x(k) = 7*k**3 + 310*k**2 + 1823*k + 2704. Let n(i) = 27*i**3 + 1242*i**2 + 7293*i + 10815. Let r(b) = 4*n(b) - 15*x(b). Factor r(p).
3*(p + 3)**2*(p + 100)
Find m such that 28/3*m**3 - 4 + 38/3*m + 26*m**2 = 0.
-2, -1, 3/14
Let s = 15966/42067 - 58/1829. Determine h so that 8/23*h**2 - 4/23*h**3 + 0 - s*h**4 + 6/23*h - 2/23*h**5 = 0.
-3, -1, 0, 1
Let o = -2/1117 + 3359/4468. Let b = 2019/4 + -504. Factor o + 9/4*j**2 + 9/4*j + b*j**3.
3*(j + 1)**3/4
Let h = 228 - 179. Let u(g) = g**3 - 47*g**2 - 99*g + 51. Let n be u(h). Determine z, given that -2/9*z**n - 4/9*z**3 + 2/9*z**4 + 0 + 4/9*z = 0.
-1, 0, 1, 2
Suppose -a - 3*a + b + 23 = 0, -5*a - 3*b + 33 = 0. Let m be (-20)/30 + 16/a. Solve -m + 7 + 4*f - 4 - f**2 - 4*f**2 = 0.
-1/5, 1
Factor -55*y - 740*y**2 + 125*y**2 + 1800 + 6*y**3 - 1855*y + 720 - y**3.
5*(y - 126)*(y - 1)*(y + 4)
Let x = 778/3107 + -5/12428. Factor 1/12*a**3 + 0 + 1/6*a**2 - x*a.
a*(a - 1)*(a + 3)/12
Let y(p) = 2*p**2 + 14*p - 15. Let l be y(-8). Suppose 4*d + 2 = 2*s, 0 = 3*s + 2*d - 12 + l. Find i, given that 0 - 6/11*i**2 + 2/11*i**s - 8/11*i = 0.
-1, 0, 4
Solve 0 - 103/6*c**2 - 1/6*c**3 - 17*c = 0.
-102, -1, 0
Suppose -21*c = 1317*c. Factor 4/11*i + c - 2/11*i**2.
-2*i*(i - 2)/11
Let v(h) be the first derivative of 9*h**6/14 + 10*h**5/7 - 2*h**4/7 - 18*h**3/7 - 19*h**2/14 + 4*h/7 + 663. Let v(s) = 0. Calculate s.
-1, 4/27, 1
Let z(g) = 2*g**3 + 15*g**2 - 7*g - 15. Let n be z(-6). Let x be n/90 - (-17)/10. Let 12/5*o + 0*o**2 - 1/5*o**3 + x = 0. What is o?
-2, 4
Suppose 0 = b - 3*x - 11, -b - 10 = -3*b + 2*x. Factor 87*y**2 - 44*y**2 + 2 - 3*y + b*y**3 + y - 45*y**2.
2*(y - 1)**2*(y + 1)
Suppose m + 14*h = 12*h + 106, 0 = m - 3*h - 111. Factor 6*i**3 + 1120*i - m*i**2 - 3*i**3 - 148*i - i**3 + i**3.
3*i*(i - 18)**2
Determine j, given that -7616/13*j - 316/13*j**3 - 10/13*j**4 + 3168/13*j**2 + 2560/13 = 0.
-40, 2/5, 4
Let l(t) be the second derivative of -t**6/15 - 2*t**5/5 - 5*t**4/6 - 2*t**3/3 + 563*t. Suppose l(x) = 0. What is x?
-2, -1, 0
Let k be ((-22)/26)/(-69 - (-59158)/858). Solve 15/2*j**4 - 3/4*j**5 + 69/4*j - k*j**3 + 3*j**2 - 21/2 = 0 for j.
-1, 1, 2, 7
Let h(m) be the second derivative of 0*m**2 - m + 40/3*m**3 - 31 - 1/3*m**4. Factor h(y).
-4*y*(y - 20)
Let -28*k - 4*k**2 - 17*k - 9 - 18*k + 11*k - 39 = 0. Calculate k.
-12, -1
Suppose 467*z - 267 = -113 + 1247. Factor 0 - 6/7*m**4 + 12/7*m**z + 24/7*m**2 - 48/7*m.
-6*m*(m - 2)**2*(m + 2)/7
Let w = 37278 + -37274. Solve 42/5*k**2 + 16/5 - 2/5*k**w - 46/5*k - 2*k**3 = 0 for k.
-8, 1
Let o = -153/1022 - 2085547/9198. Let s = o + 228. What is z in -16/9*z - s*z**2 - 8/9 - 2/9*z**3 = 0?
-2, -1
Let g = 192433 - 192433. Factor 3/7*p**5 + 0 + 0*p**2 + 9/7*p**4 + g*p + 0*p**3.
3*p**4*(p + 3)/7
Let f(d) = 31*d**2 + 82*d + 793. Let w(v) = 5*v**2 + 13*v + 132. Let n(x) = -6*f(x) + 37*w(x). Factor n(i).
-(i - 7)*(i + 18)
Let t(w) be the second derivative of 5*w**7/21 - 25*w**6/6 + 77*w**5/4 + 475*w**4/12 - 2375*w**3/6 - 625*w**2 + 4306*w. Factor t(s).
5*(s - 5)**3*(s + 2)*(2*s + 1)
Let w(p) be the second derivative of p**5/12 + 5*p**4/3 + 32*p**2 + 2*p - 23. Let c(f) be the first derivative of w(f). Solve c(d) = 0 for d.
-8, 0
Find s, given that -5140*s**2 - 619*s - 2765*s**2 - 500 - 2807*s**3 - 2981*s - 89*s**3 - 1909*s**3 = 0.
-1, -10/31
Let l(o) be the second derivative of o**2 - 10*o + 1 + 1/24*o**4 + 5/12*o**3. Find u such that l(u) = 0.
-4, -1
Let v = -155 + 381. Let q = v + -226. Let -3/5*w**3 + q*w + 6/5*w**2 + 0 = 0. What is w?
0, 2
Let m(o) = -5*o - 22. Let v be m(-5). Suppose -w**v + 4*w + 30*w**2 + 31*w**2 + 4 - 62*w**2 = 0. What is w?
-2, -1, 2
Let j(v) = -11*v**2 - 535*v - 8. Let i(h) = -24*h**2 - 1074*h - 18. Let k(w) = -4*i(w) + 9*j(w). Factor k(n).
-3*n*(n + 173)
Let n(w) be the first derivative of 3*w**4/4 + 29*w**3 + 396*w**2 + 2160*w - 1019. Factor n(z).
3*(z + 5)*(z + 12)**2
Let z = -47748 - -47770. Factor -z*q**2 + 484*q + 1/3*q**3 - 10648/3.
(q - 22)**3/3
Let t(p) be the third derivative of 1/160*p**6 - 1/20*p**5 + 0*p - 1/4*p**3 + 5/32*p**4 + 42*p**2 + 0. Let t(z) = 0. What is z?
1, 2
Let b(a) be the third derivative of 82*a**2 + 0*a**5 + 0*a**4 + 5/336*a**8 + 0*a**3 - 1/24*a**6 + 0*a + 0*a**7 + 0. Suppose b(q) = 0. Calculate q.
-1, 0, 1
Let i(d) be the second derivative of d**6/105 + 309*d**5/70 - 311*d