553*b.
-b*(b + 2)*(b + 155)
Let q(m) = -416*m - 2415. Let c(y) = -208*y - 1202. Let u(p) = -7*c(p) + 4*q(p). Let z be u(-6). Suppose -3 - 1/4*n**2 - z*n = 0. What is n?
-6, -2
Let t(b) = b**4 - 40*b**3 - b**2 + 31*b - 9. Let p be (-1 + 2/1)/((-6)/54). Let f(r) = -10*r**3 + 8*r - 2. Let g(o) = p*f(o) + 2*t(o). Factor g(k).
2*k*(k - 1)*(k + 1)*(k + 5)
Let h(y) be the first derivative of -2*y**4/3 - 25*y**3/3 - 36*y**2 - 91*y - 327. Let z(j) be the first derivative of h(j). Factor z(d).
-2*(d + 4)*(4*d + 9)
Let k(n) = 4*n**2 + n - 1 + n + 0*n - 3*n. Let w be k(1). Factor -4*v**3 - v**2 - w*v + v**4 + 0*v**4 + 6*v**2.
v*(v - 2)*(v - 1)**2
Suppose 2461*g - 2459*g - 3*r = 1, 2*r = g. Factor -14/5 - 19/5*o + 1/5*o**3 - 4/5*o**g.
(o - 7)*(o + 1)*(o + 2)/5
Let p(z) be the second derivative of z**4/4 - 173*z**3/2 - 1335*z**2 + 15*z - 6. Find v, given that p(v) = 0.
-5, 178
Factor 378/5 + 24*l - 2/5*l**2.
-2*(l - 63)*(l + 3)/5
Let l(x) be the third derivative of 0 + 11/3*x**4 - 18*x + 1/15*x**5 - 5*x**2 + 14*x**3. Factor l(t).
4*(t + 1)*(t + 21)
Let r(x) be the third derivative of 1/60*x**6 + 0*x + 0*x**3 - 1/6*x**4 + 0 - 69*x**2 - 1/30*x**5. Factor r(h).
2*h*(h - 2)*(h + 1)
Let i = 1465 + -1465. Let y(k) be the second derivative of -1/24*k**3 + 1/48*k**4 + 0 + i*k**2 + 6*k. What is p in y(p) = 0?
0, 1
Let s(m) be the third derivative of 0*m + 0*m**4 - m**2 + 2 - 1/120*m**6 + 0*m**3 + 3/20*m**5. Factor s(l).
-l**2*(l - 9)
Let q(z) be the first derivative of 9*z**6/16 - 69*z**5/40 - 111*z**4/16 + 11*z**3 + 3985. Let q(b) = 0. What is b?
-22/9, 0, 1, 4
Suppose g + 27 = 4*g + 4*m, 4*g + 5*m - 35 = 0. Suppose -j + 4*h = -6*j + 12, -2 = 2*j + g*h. Factor -3*d**4 - 20*d**3 + 20*d - 4*d**4 - 10*d**2 + 2*d**j + 15.
-5*(d - 1)*(d + 1)**2*(d + 3)
Let l(i) be the third derivative of -i**8/560 + 6*i**7/35 - 6*i**6 + 464*i**5/5 - 768*i**4 + 18432*i**3/5 + 667*i**2. Factor l(n).
-3*(n - 24)**2*(n - 4)**3/5
Let h(l) be the second derivative of 5*l**4/16 - 15455*l**3/24 + 2575*l**2/4 + 2847*l. Factor h(c).
5*(c - 1030)*(3*c - 1)/4
Let k(l) be the second derivative of 1/3960*l**6 - 1/330*l**5 - 2*l**3 + 0*l**2 + 0*l**4 + 0 + 31*l. Let q(x) be the second derivative of k(x). Factor q(h).
h*(h - 4)/11
Let j(k) be the third derivative of -k**5/540 + k**4/72 + 35*k**3/27 - 20*k**2 - 22*k. Determine l so that j(l) = 0.
-7, 10
Let u(s) be the second derivative of 2 - 1/30*s**3 + 1/100*s**5 + 1/60*s**4 + 0*s**2 - 49*s - 1/150*s**6. Let u(q) = 0. What is q?
-1, 0, 1
Let m(b) = -b + 1. Let t be m(-3). Suppose 177 = -3*s + 186. Factor -7*o**3 - 5*o**4 - 6*o**3 + 7*o**3 + 14*o**t - s*o**5.
-3*o**3*(o - 2)*(o - 1)
Let y be 2/(-17) - (-2080)/340. Suppose 3*p + y = 5*p. Let -15*t + 9 + 7*t**2 + 27*t**3 - 9*t**p - 19*t**3 = 0. What is t?
1, 3
Let c = -869003/9 - -96442. Let u = c + 114. Factor 4/9*a - 8/9 + 2/9*a**2 - u*a**3.
-(a - 2)**2*(a + 2)/9
Let a = -1658 + 1850. Let h = a - 187. Let 4/9*x**2 + 8/9*x**4 + 2/9*x**h + 0 + 0*x + 10/9*x**3 = 0. Calculate x.
-2, -1, 0
Let j be 2/(1 + 657/(-675)). Suppose p = -16*p + j*p. Factor 0*g**2 + 0*g + 15/2*g**5 + 9/2*g**4 + p - 3*g**3.
3*g**3*(g + 1)*(5*g - 2)/2
Let d(h) be the second derivative of 13*h**8/20160 - h**7/270 + h**6/540 - 13*h**4/6 - 2*h + 5. Let w(f) be the third derivative of d(f). Factor w(r).
r*(r - 2)*(13*r - 2)/3
Let w(i) be the first derivative of -i**3/3 + 220*i**2 - 48400*i - 1147. Determine j so that w(j) = 0.
220
Determine y so that 0 + 1/5*y**2 - 69/5*y = 0.
0, 69
Let q(r) be the first derivative of -2*r**6/9 - 4*r**5/3 + 11*r**4 + 36*r**3 - 288*r**2 + 432*r - 870. Determine v so that q(v) = 0.
-6, 1, 3
Let 66/5 + 26/5*c**2 - 91/5*c - 1/5*c**3 = 0. What is c?
1, 3, 22
Factor -4983*k + 16341*k**2 + 2*k**4 - 1814*k - 310*k**3 - 4175*k**2 - 5061*k.
2*k*(k - 77)**2*(k - 1)
Let o(p) = -3*p**4 - 12*p**3 + 54*p**2 + 12*p - 15. Let x(m) = m**4 - m**3 - 4*m**2 + m. Let r(n) = o(n) + 12*x(n). Factor r(w).
3*(w - 1)**2*(w + 1)*(3*w - 5)
Let n be (-20)/(-22) - (((-218)/44)/(-109))/((-1)/(-4)). Suppose -8/11 + n*u - 2/11*u**2 = 0. What is u?
2
Let u be ((1 - 0/5 - 1)/6)/1. Let c(l) be the second derivative of 0*l**2 - 5/12*l**4 + u*l**3 - 2/3*l**6 + 5/4*l**5 + 10*l + 0. Suppose c(s) = 0. What is s?
0, 1/4, 1
Let l be (((-37665)/162)/155)/(-1 + 1/4). Find r, given that -4/3*r**l + 0 - 1/3*r**3 - 4/3*r = 0.
-2, 0
Let h(l) be the third derivative of -55/12*l**4 + 4 + 0*l - 3*l**2 + 59/12*l**5 - 5/6*l**6 - 3/14*l**7 - 20/3*l**3. Suppose h(n) = 0. Calculate n.
-4, -2/9, 1
Let o(u) be the first derivative of 94 - 1/40*u**4 + 18/5*u + 13/30*u**3 - 12/5*u**2. Determine q, given that o(q) = 0.
1, 6
Suppose 0 = 2*q - 16 - 26. Suppose -89 = 16*v - 137. Let d(m) = 8*m**2 + 5*m - 7. Let z(j) = -j**2 - j + 1. Let x(n) = q*z(n) + v*d(n). Factor x(t).
3*t*(t - 2)
Factor -571 + 314 - 39*q**2 + 26*q**2 - 285*q - 625 + 16*q**2.
3*(q - 98)*(q + 3)
Let h(v) be the third derivative of -v**5/390 + 103*v**4/52 - 308*v**3/39 + 629*v**2 + 1. Determine y, given that h(y) = 0.
1, 308
Let c(l) = -28*l**2 - 234*l - 50. Let m(b) = -56*b**2 - 463*b - 101. Let n be -75 + 87 - (0 + 6). Let q(k) = n*m(k) - 11*c(k). Factor q(s).
-4*(s + 7)*(7*s + 2)
Let q(b) be the first derivative of 4*b**5/5 - 16*b**4 - 68*b**3/3 - 3494. Factor q(p).
4*p**2*(p - 17)*(p + 1)
Let c(a) be the first derivative of a**4/4 - 2*a**3 + 3*a**2/2 + 8*a - 146. Let i(s) = 3*s**3 - 6*s**2 + 3*s + 9. Let d(x) = 3*c(x) - 2*i(x). Factor d(f).
-3*(f - 1)*(f + 1)*(f + 2)
Suppose -4*t + 69 = 19*t. Factor -2595*r**4 - 30*r**2 + 5 + 45*r**t + 2580*r**4 - 5*r**3.
-5*(r - 1)**3*(3*r + 1)
Factor -g**3 + 244*g**2 - 1023*g + 5*g**3 - 299*g - 389*g + 139*g + 2412.
4*(g - 3)**2*(g + 67)
Solve 1248*f - 489*f**4 - 917*f**3 + 493*f**4 + 1097*f**3 - 1432*f**2 = 0 for f.
-52, 0, 1, 6
Find n, given that 5*n**4 - 31*n**2 + 1/2*n**5 - 22*n**3 + 43/2*n + 26 = 0.
-13, -1, 1, 4
Suppose -5*r = 5*t - 5, -55*t = -59*t + 3*r + 18. Solve -24*f - 13*f**2 + 3*f**t + 37*f**2 - 54*f + 126*f = 0 for f.
-4, 0
Suppose 4*v + 4*o = 36, -23*o = 5*v - 22*o - 17. Let i(z) be the second derivative of 0*z**3 - 2*z + 1/10*z**5 + 14 + 0*z**v - 1/24*z**4. What is n in i(n) = 0?
0, 1/4
Let p(b) be the second derivative of b**4/3 - b**3/3 + 3*b**2/2 + 432*b. Let q be p(0). Let 2*o**2 - 2*o - 1/2*o**q + 0 = 0. Calculate o.
0, 2
Solve 187*c**3 - 200*c**3 + 960*c - 1824*c**2 + 375*c**5 + 193*c**3 + 1425*c**4 - 144 = 0.
-3, -2, 2/5
Let k(g) = g**2 + 12*g - 2. Let c(j) = -4*j**2 - 118*j - 144. Let r(o) = -2*c(o) - 12*k(o). What is z in r(z) = 0?
-3, 26
Let s = -999 - -1036. Determine y, given that s*y + 24 - 4*y**4 - 6*y**4 - 20*y**3 + 6*y**4 - 17*y - 20*y**2 = 0.
-3, -2, -1, 1
Let t(p) be the third derivative of p**5/135 - 3244*p**4/27 + 21047072*p**3/27 - 36*p**2 + 7*p + 2. Find d, given that t(d) = 0.
3244
Let l(k) be the second derivative of 3*k**5/10 + 33*k**4/4 - 124*k**3 - 198*k**2 - 10662*k. Determine z so that l(z) = 0.
-22, -1/2, 6
Determine l so that 5981*l + 18062500 + 4*l**2 + 5651*l + 5837*l - 469*l = 0.
-2125
Factor -1/6*x**2 - 653/6 + 109*x.
-(x - 653)*(x - 1)/6
Let o(y) = 65*y**3 - 26*y**2 - 6*y. Let a be 25/(-4) - 1*50/(-40). Let d(p) = p**3 - 2*p**2 + 2*p. Let s(n) = a*d(n) + o(n). Find j such that s(j) = 0.
-2/5, 0, 2/3
Let d = 90/239 + -1111/3585. Let v(b) be the third derivative of 0*b - d*b**5 - 4/3*b**3 + 18*b**2 + 1/2*b**4 + 0. Solve v(z) = 0.
1, 2
Let z(q) be the third derivative of 1/180*q**5 - 2*q**2 + 11/9*q**3 + 0*q - 3 - 13/72*q**4. Let z(r) = 0. Calculate r.
2, 11
Let u(j) be the first derivative of j**6/15 + 7*j**5/30 - 4*j**3/9 - 9*j + 7. Let x(t) be the first derivative of u(t). Suppose x(z) = 0. Calculate z.
-2, -1, 0, 2/3
Solve 15026436898 + 2444*d**2 - 1692*d**2 - 5*d**3 + 19978*d**2 - 1828862058 - 28648860*d = 0 for d.
1382
Let r(v) be the third derivative of -v**7/1575 + v**5/75 - 2*v**4/45 + v**3/15 + 1358*v**2 - 1. Solve r(m) = 0.
-3, 1
Suppose -14*v + 1180 = 159*v + 417*v. Let p(o) be the first derivative of 15 - o + 1/12*o**3 + 0*o**v. Factor p(m).
(m - 2)*(m + 2)/4
Let f be ((-17)/(-51))/(12 + -11). Let n(k) be the first derivative of 0*k**2 + 0*k - 24 - f*k**6 - 2*k**4 + 0*k**3 + 8/5*k**5. Solve n(s) = 0.
0, 2
Let y = 847791/264935 + 1/264935. Suppose -y - 2*v**3 + 12/5*v**2 + 2/5*v**4 + 8/5*v = 0. 