6/24 + 33*a**5/20 - 129*a**4/16 - 149*a**3/12 + 87*a**2/2 - 27*a + 1146. Find p such that g(p) = 0.
-9, -2, 2/5, 1, 3
Suppose -14*l + 1594*k = 1593*k - 22, -40 = 5*k. Suppose -1/6*o**2 - 1/6*o + l = 0. Calculate o.
-3, 2
Suppose 144*c + 1728*c**2 + 3*c**4 - 4103*c + 573 + 2237*c - 582*c**3 = 0. Calculate c.
1, 191
Let a(u) be the first derivative of -8/3*u**3 + 0*u**2 - 40 + 0*u + 1/2*u**4. Find f, given that a(f) = 0.
0, 4
Let -8*z - 4*z - 19*z**3 + 28*z**2 - 3072*z**5 + 2*z**4 + 3073*z**5 = 0. Calculate z.
-6, 0, 1, 2
Suppose -50*m + 43*m + 2135 = 0. Let m*w**2 - 3*w - 3 - 3*w**4 + 5*w**3 - 299*w**2 - 3*w**5 + w**3 = 0. What is w?
-1, 1
Let q(w) be the second derivative of -w**5/70 - 2837*w**4/14 - 8048569*w**3/7 - 22833790253*w**2/7 - 6751*w. Factor q(z).
-2*(z + 2837)**3/7
Suppose -4*d + 146 = -78. Let r = d + -48. Factor r*z**2 - 8*z**3 + 4*z**3 + 16*z**3.
4*z**2*(3*z + 2)
Let h(f) be the first derivative of 29*f**4 - 261 - 8/3*f**3 - 6*f**6 + 32*f - 40*f**2 - 24/5*f**5. Determine z so that h(z) = 0.
-2, -1, 2/3, 1
Factor -44/7 + w**3 + 149/7*w**2 - 16*w.
(w - 1)*(w + 22)*(7*w + 2)/7
Suppose 78*y - 7944 = 66*y. Let b = y - 658. Factor 15/2*p**2 + 1/2*p**4 + b*p - 4*p**3 - 8.
(p - 4)**2*(p - 1)*(p + 1)/2
Let p(c) be the second derivative of -c**5/5 + 214*c**4/3 + 859*c**3/6 + 215*c**2/2 - 2*c - 342. Determine j so that p(j) = 0.
-1/2, 215
Let y = 6317/21 + -2094/7. Let h(p) be the second derivative of -2/3*p**4 + 35*p + 0*p**2 + 0 - y*p**3 + 1/10*p**5. Suppose h(x) = 0. What is x?
-1, 0, 5
Let i = 685 - 679. Factor 3*l**4 - 15*l**2 - 110*l - 118*l + 210*l + i*l**3.
3*l*(l - 2)*(l + 1)*(l + 3)
Let o(u) be the first derivative of u**6/90 + 2*u**5/15 - 5*u**4/6 - 4*u**3 + 11*u**2/2 - 133. Let j(s) be the third derivative of o(s). Factor j(v).
4*(v - 1)*(v + 5)
Let a be (-6 + (5 - 3))*(-11)/11. Suppose 4*x**5 - 4*x**a - 3918*x**3 - 2*x**5 + 2*x**4 + 3914*x**3 = 0. Calculate x.
-1, 0, 2
Let h = 33 + -27. Let t be 2 - (h - 2)*(-1)/(-2). Solve 6*v**2 - 15*v - 12 - 9*v**2 + t*v**2 = 0.
-4, -1
Let w be 3/6 + 3/2. Solve -j**4 + 56*j**3 - j**4 + 24*j - 8*j**5 - 2*j**4 + 2*j**2 + 74*j**w = 0 for j.
-2, -1, -1/2, 0, 3
Let k(p) = -9*p**2 + 20*p - 51. Let x(u) = 11*u**2 - 20*u + 49. Let f(s) = -7*k(s) - 6*x(s). Factor f(q).
-(q + 9)*(3*q - 7)
Let m be (-3 + (-153)/(-42))/(-10*(-120)/1400). Factor -m*q**2 - 3/4*q**3 + 9*q + 0.
-3*q*(q - 3)*(q + 4)/4
Suppose 4*k - 20 = -12. Suppose 2*i + 6 = -3*j + 5*i, j - k*i = -6. Factor 4/3*r + 1/3*r**4 - 7/3*r**j + 2/3*r**3 + 0.
r*(r - 1)**2*(r + 4)/3
Factor -86*j**2 - 2767*j**2 - 124*j**3 - 991*j**2 - j**4.
-j**2*(j + 62)**2
Let o(y) be the first derivative of 8*y**6/3 - 24*y**5/5 - 1527*y**4 - 9106*y**3/3 - 2271*y**2 - 756*y + 4631. Solve o(a) = 0 for a.
-18, -1/2, 21
Let -115/3*y + 1/3*y**2 + 252 = 0. Calculate y.
7, 108
Let t(b) be the third derivative of 0*b**4 - 81*b**2 - 1/30*b**5 + 1/80*b**6 - 1/840*b**7 + 0 + 0*b + 0*b**3. Factor t(c).
-c**2*(c - 4)*(c - 2)/4
Let f(q) be the second derivative of -1/8*q**2 + 220 + 1/32*q**4 - 5/48*q**3 - 2*q. Factor f(x).
(x - 2)*(3*x + 1)/8
Let d = -1017 + 1020. Suppose 0 = -2*r - d*k, -4*r - 7*k + 10*k = 0. Solve 100/3*v**2 - 2*v**5 + 64/3*v**4 + 0*v - 190/3*v**3 + r = 0.
0, 2/3, 5
Determine i so that -24*i - 139 + 2*i**2 - 18*i + 319 = 0.
6, 15
Let a be (-65)/(-4) - (1 - 27/36). Let h be 1/((-9)/6 + 2). Factor -a + 9*k - 14*k**h + 5*k**2 - k**3 - 33*k.
-(k + 1)*(k + 4)**2
Let h(l) be the first derivative of l**4 + 0*l**2 + 110 - 4/3*l**3 + 0*l. Determine u, given that h(u) = 0.
0, 1
Suppose -3*p - 4*a = -59, 2*p - 3*a - 41 = -4*a. Suppose -4*g = 0, q + 24*g - p*g = 0. Factor -3/4*k**5 + 9/2*k**4 - 39/4*k**3 + 9*k**2 + q - 3*k.
-3*k*(k - 2)**2*(k - 1)**2/4
Let n(t) be the second derivative of t**7/2205 + 2*t**6/315 + 2*t**5/105 - 19*t**2 + 24*t - 2. Let i(h) be the first derivative of n(h). Factor i(p).
2*p**2*(p + 2)*(p + 6)/21
Let a(g) be the second derivative of g**7/168 - 19*g**6/120 + 29*g**5/40 + 7*g**4/8 - 57*g**3/8 - 135*g**2/8 - 2961*g. Suppose a(c) = 0. Calculate c.
-1, 3, 15
Let f(u) be the third derivative of u**5/60 + 215*u**4/4 + 138675*u**3/2 - 85*u**2 - 5. What is r in f(r) = 0?
-645
Suppose 2*g + 7*g**3 - 34 - 1/2*g**4 + 51/2*g**2 = 0. Calculate g.
-2, 1, 17
Suppose -4*o + 12 = -0*o, -249 = -3*j - 5*o. Let i(p) = p**2 + 3. Let z be i(3). Factor 61*c - 145*c - z - 49*c**2 - 20*c**2 - j*c**2.
-3*(7*c + 2)**2
Let v(m) be the third derivative of -1 + 0*m - 18*m**2 + 1/12*m**8 + 4/105*m**7 + 0*m**3 + 0*m**5 + 0*m**6 + 0*m**4. Factor v(y).
4*y**4*(7*y + 2)
Let t be (-9)/12 - (-206375)/(-27300)*(-2)/10. Find r such that -t*r**2 + 16/21*r**4 - 10/21*r**5 - 8/21*r + 6/7*r**3 + 0 = 0.
-1, -2/5, 0, 1, 2
Let k be (-1)/(-1)*21/(-3430)*-70. Find r, given that 3/7*r**5 - 3/7*r**3 + 0*r - k*r**2 + 0 + 3/7*r**4 = 0.
-1, 0, 1
Let y be (2 - 574)*3/(42/35). Let p = 5795/4 + y. Suppose -p*h + 125/4 - 1/4*h**3 + 15/4*h**2 = 0. What is h?
5
Find o such that 1088*o + 4*o**4 + 112*o**3 - 51 + 323 + 576*o**2 + 244 + 188 = 0.
-22, -2
Suppose 8*u - 83 = 5. Suppose 21*n - u*n = 40. Suppose 8*m**n - 3*m**4 - 3*m**3 + 2*m**3 + 2*m + m**5 + 10*m**3 + 7*m**2 = 0. What is m?
-2, -1, 0
Let a(d) be the first derivative of -d**4/6 + 4*d**3 - 5*d**2 - 68*d/3 - 9357. Factor a(f).
-2*(f - 17)*(f - 2)*(f + 1)/3
Let n = -348 - -363. Factor -23*b**3 - 37*b**4 - 2*b - 227*b**5 + 243*b**5 + n*b**2 + 13*b**4.
b*(b - 2)*(b + 1)*(4*b - 1)**2
Let q be 2/(-7) - 23/(-7). Suppose -3 = 3*r - 4*r, 3 = -2*t + q*r. Find u, given that 5*u**3 - t*u**5 + 2*u**5 - 2*u**3 + 2*u**2 = 0.
-1, 0, 2
Suppose -4*w = -3*h - 14, 3*h + 4 = 5*w - 15. Factor 2158*d**4 + 4*d**5 - 2128*d**4 + d**5 + 55*d**3 + 30*d**h.
5*d**2*(d + 1)*(d + 2)*(d + 3)
Let u(y) be the second derivative of -y**5/5 + 9*y**4 - 130*y**3 + 850*y**2 + 6*y - 14. What is o in u(o) = 0?
5, 17
Let n be (-4)/6*756/(-120). Let o be 11 + 260/(-24) - 31/(-30). Factor 12/5*c**2 - o - n*c.
3*(c - 2)*(4*c + 1)/5
Let i(g) be the third derivative of -g**7/210 - 17*g**6/120 + 7*g**5/60 + 113*g**4/24 - 17*g**3 - 2046*g**2. Solve i(u) = 0 for u.
-17, -3, 1, 2
Let b(a) = -184*a**2 - 25709*a + 7426. Let z(p) = -137*p**2 - 19282*p + 5568. Let c(m) = -8*b(m) + 11*z(m). Find d such that c(d) = 0.
-184, 2/7
Let d be 1*8/(-12) + (-10)/(-6). Suppose d = -6*j + 19. Find t, given that 8*t**3 + 3*t**2 - j*t**3 - 7*t**3 - 9*t**2 = 0.
-3, 0
Let g(m) = m**2 + m - 25. Let s(q) = -q**2 + 95*q + 370. Let r(i) = -4*g(i) - s(i). Suppose r(k) = 0. What is k?
-30, -3
Let a(w) = -w**3 - 2*w**2 + 10*w. Let h(u) = -2*u**4 - 6*u**3 + 64*u**2 + 204*u + 70. Let x(l) = 6*a(l) - h(l). Factor x(i).
2*(i - 7)*(i + 1)**2*(i + 5)
Let g be (16/(-6))/(-3 + 356/120). Determine p so that 133*p**2 + 506*p**2 + 5*p**5 + 223*p**2 + 58*p**2 + g*p**4 + 560*p + 179*p**3 + 256*p**3 = 0.
-7, -4, -1, 0
Let r be (171/((-64638)/180))/((-3)/462*5). Factor 14/3 + 20/3*q**3 + r*q + 16*q**2 + 2/3*q**4.
2*(q + 1)**3*(q + 7)/3
Let d(n) be the first derivative of -n**4/4 - 475*n**3/3 + 956*n**2 - 1916*n - 3104. Suppose d(c) = 0. Calculate c.
-479, 2
Let b(p) be the third derivative of p**6 + 29*p**5/6 + 205*p**4/24 + 35*p**3/6 + 3*p**2 - 33*p. What is z in b(z) = 0?
-7/6, -1, -1/4
Factor -3/7*u**3 - 645885/7*u + 648675/7 - 2787/7*u**2.
-3*(u - 1)*(u + 465)**2/7
Let r(k) be the second derivative of -k**5/330 - 5*k**4/66 + 14*k**2 - k + 7. Let p(w) be the first derivative of r(w). Solve p(v) = 0 for v.
-10, 0
Let g(w) be the second derivative of w**7/7560 - w**6/60 - 2*w**4/3 - w**2 + 2*w - 115. Let s(n) be the third derivative of g(n). Factor s(y).
y*(y - 36)/3
Let b(t) = -t**3 - 8*t**2 - 4*t. Let f be b(-8). Let o = 34 - f. Factor -3 + 3 + 4*q + 4*q + 4*q**o.
4*q*(q + 2)
Let a be (-1701)/(-153) + -11 + 678/17. Suppose 11*v - 84 = -a. Determine d, given that 3 + 9/4*d + 3/4*d**v - 15/4*d**2 - 9/4*d**3 = 0.
-1, 1, 4
Factor 0 + 1/9*f**2 + 556/9*f.
f*(f + 556)/9
Let h(y) be the third derivative of -y**5/240 - 2545*y**4/48 - 6477025*y**3/24 + 9836*y**2. Suppose h(f) = 0. What is f?
-2545
Let u = 307648 - 1538056/5. Find q, given that 48*q + 4/5*q**4 + 20 + 48/5*q**3 + u*q**2 = 0.
-5, -1
Let k(b) = -b - 4. Let p be k(-4). Let s(h) = 9269*h + 305880. Let w be s(-33). Solve p + 8/3*i - 2*i**2 - 2/3*i**w = 0 for i.
-4, 0, 1
Let k(i