4/5*o**3 + 12/5*o**2. Factor g(a).
3*(a + 2)**2*(5*a + 2)/5
Let h(n) = 20*n**2 + 13229*n + 2191374. Let k(q) = -4*q**2 - 2646*q - 438272. Let x(p) = 2*h(p) + 11*k(p). Factor x(b).
-4*(b + 331)**2
Suppose 6 + 6 = 2*z. Let r be (z - (0 + 2)) + (-3)/3. Solve -4/3*p**2 + 2/3*p**r + 4/3 - 2/3*p = 0 for p.
-1, 1, 2
Suppose -56*u - 108*u = 0. Let n(s) be the second derivative of -17*s + u - 2/5*s**5 + 14/3*s**3 + 0*s**2 - 13/3*s**4. Factor n(t).
-4*t*(t + 7)*(2*t - 1)
Suppose 847*f - 2922 + 381 = 0. Suppose 14*v**2 - 312/7*v - 8/7*v**f + 72/7 = 0. What is v?
1/4, 6
Let o = 881/408 - 36/17. Let h(b) be the second derivative of -o*b**7 + 0*b**3 - 53/80*b**5 + 11/40*b**6 - 1/2*b**2 + 21*b + 0 + 31/48*b**4. Solve h(m) = 0.
-2/7, 1, 2
Let t(g) = -9*g**4 - 3*g**3 + 2*g**3 + 2*g**4 - g**5 + 6*g**4. Let f(k) = 10*k**5 + 30*k**4 + 50*k**3 + 35*k**2 + 10*k. Let o(l) = f(l) + 5*t(l). Factor o(x).
5*x*(x + 1)**3*(x + 2)
Let j(g) be the third derivative of -g**8/336 - 13*g**7/210 + 2*g**6/15 + 7*g**5/15 - 1654*g**2. Factor j(r).
-r**2*(r - 2)*(r + 1)*(r + 14)
Let s = 814559 - 814557. Factor -2/13*u + 0 - 46/13*u**s + 48/13*u**3.
2*u*(u - 1)*(24*u + 1)/13
Let r be (26/42)/(91355/(-11420) + 8). Let i = 1414 - r. What is b in 0*b**4 + 0 + 0*b + 0*b**2 + 2/21*b**5 - i*b**3 = 0?
-1, 0, 1
Let n(a) be the third derivative of a**8/504 - 2*a**7/315 - a**6/30 + 2*a**5/45 + 13*a**4/36 + 2*a**3/3 + 16*a**2 - 24. Factor n(i).
2*(i - 3)*(i - 2)*(i + 1)**3/3
Factor 162 - 109*o - 250*o + 27350*o**3 - 27300*o**3 - 163*o + 390*o**2.
2*(o + 9)*(5*o - 3)**2
Suppose j + 382 + 414 = 3*b, 2*j = -5*b + 1323. Let f = b - 263. Factor 5/2*m**f + 0 + m.
m*(5*m + 2)/2
Suppose -541 + 586 = 9*j. Suppose j*i = -0*m - 3*m + 16, 0 = -3*i + 5*m - 4. Factor 11/2*d - 1 - 6*d**2 - 1/2*d**3 + i*d**4.
(d - 1)**2*(d + 2)*(4*d - 1)/2
Let j(h) be the first derivative of h**3/4 - 729*h**2/8 + 5749. Let j(g) = 0. What is g?
0, 243
Let s(b) be the second derivative of 3*b**5/20 + 1155*b**4/4 + 444675*b**3/2 + 171199875*b**2/2 - 3*b - 877. Let s(d) = 0. What is d?
-385
Let r(k) = -k. Let q(z) = 4*z**5 - 80*z**4 + 272*z**3 - 256*z**2 - 18*z. Let x(u) = q(u) - 18*r(u). Let x(t) = 0. What is t?
0, 2, 16
Let u(n) = 7*n**2 - 145*n + 168. Let p(s) = 12*s**2 - 297*s + 335. Let o(d) = 3*p(d) - 5*u(d). Solve o(a) = 0.
1, 165
Let r(n) = -155*n - 2943. Let p be r(-19). Factor 0 + 2/7*c**p - 24/7*c.
2*c*(c - 12)/7
Let w(o) be the second derivative of -o**8/13440 + o**7/1680 - o**6/720 + o**4 + o**3/2 + 91*o. Let n(g) be the third derivative of w(g). Factor n(k).
-k*(k - 2)*(k - 1)/2
Let n = -17349/5 - -3470. Let a(d) be the second derivative of 0 - 3/5*d**5 + d - n*d**3 + 0*d**2 - 9/50*d**6 - 13/20*d**4. Let a(y) = 0. Calculate y.
-1, -2/9, 0
Suppose 12*c - 18*c = -2964. Let d = 497 - c. Factor -1/11*v + 1/11*v**d + 0*v**2 + 0.
v*(v - 1)*(v + 1)/11
Suppose -3*i - 2*u = -2058, -3*u = -20*i + 19*i + 675. Let j = i + -684. Factor 0*d**3 + 2/7*d + 4/7*d**2 - 2/7*d**5 + j - 4/7*d**4.
-2*d*(d - 1)*(d + 1)**3/7
Let x(h) = 3*h**2 + 22. Let o(v) = 23*v**2 - 1095*v + 132. Let f(j) = -o(j) + 6*x(j). Solve f(z) = 0.
0, 219
Let h(k) be the second derivative of 0 + 118*k + 0*k**2 - 1/14*k**7 + 7/2*k**3 + 2/5*k**6 + 5*k**4 + 27/10*k**5. Find i such that h(i) = 0.
-1, 0, 7
Factor -236 + 22 - 475*p + 39 - 140 + 3*p**2 + 379*p.
3*(p - 35)*(p + 3)
Solve -32957*m**2 - 2*m**4 + 65897*m**2 - 32964*m**2 + 26*m**3 = 0.
0, 1, 12
Let y(l) be the first derivative of 8/9*l + 5/9*l**2 + 2/27*l**3 + 158. Factor y(p).
2*(p + 1)*(p + 4)/9
Let c = -1 - -2. Let f(k) be the second derivative of -k**4/4 + 5*k**3/2 - 15*k**2/2 - 2852*k - 2. Let v(o) = -o. Let s(i) = c*f(i) - 3*v(i). Factor s(r).
-3*(r - 5)*(r - 1)
Let b(p) be the first derivative of -21/8*p**4 - 9/4*p**2 + 0*p + 24 + 17/4*p**3 + 9/20*p**5. Find z, given that b(z) = 0.
0, 2/3, 1, 3
Let r(w) be the third derivative of -w**5/60 + 7*w**4/12 + 17*w**3/2 - 19*w**2 + 1. Find x such that r(x) = 0.
-3, 17
Suppose 2*j = 8*j - 1092. Suppose -2*y = -h + 2 + 8, -2*y - 14 = -3*h. Factor 3*g**h - 3*g - 12*g - 164 + j.
3*(g - 3)*(g - 2)
Suppose 125 + 20 + 125 = 135*n. Let k(l) be the first derivative of -7/4*l**n + 13 + 1/8*l**4 - 1/3*l**3 - 2*l. Factor k(v).
(v - 4)*(v + 1)**2/2
Suppose -3*o + 4 - 9 = 4*s, 0 = -4*o - 45*s - 205. Find g, given that 8*g**2 - 48/7*g**4 + 12/7*g - 4*g**o - 8/7 + 16/7*g**3 = 0.
-1, 2/7, 1
Let s be 140/630 + ((-2)/36)/(40/80). Factor 13/9 - s*v**2 - 4/3*v.
-(v - 1)*(v + 13)/9
Let h(v) be the second derivative of -1/35*v**6 - 16/21*v**3 + 7*v - 8/35*v**5 - 3/7*v**2 - 13/21*v**4 + 2. Determine t, given that h(t) = 0.
-3, -1, -1/3
Let s(w) = -8*w**3 - 54*w**2 - 828*w - 1390. Let q(y) = -14*y**3 - 107*y**2 - 1654*y - 2783. Let x(c) = -6*q(c) + 11*s(c). Factor x(b).
-4*(b - 22)*(b + 2)*(b + 8)
Let h be (-1150)/(-4600) + (-11)/(-4). Factor -1/2 + 7/4*u**h - 4*u**2 + 11/4*u.
(u - 1)**2*(7*u - 2)/4
Find d, given that 0*d**2 - 3*d**5 - 1/3*d**4 + 0*d**3 + 0 + 0*d = 0.
-1/9, 0
Let -16/7 + 27556/7*j**5 - 1280/7*j + 78700/7*j**3 - 23620/7*j**2 - 11620*j**4 = 0. What is j?
-2/83, 1
Let a(g) be the third derivative of 3*g**8/112 + g**7/5 + 5*g**6/24 + g**5/15 + 302*g**2. Factor a(c).
c**2*(c + 4)*(3*c + 1)**2
Let m(g) = -5*g**2 - 2*g + 1. Let w(q) = 15*q**2 - 6922*q - 2401249. Let j(r) = 4*m(r) + w(r). Find x, given that j(x) = 0.
-693
Let v(f) be the second derivative of -f**4/12 + 23*f**3/6 + 40*f**2 - f - 8. Let h be v(26). Factor -27/2*a - 3/4*a**h - 243/4.
-3*(a + 9)**2/4
Suppose 1534*o**4 + 4*o**5 + 109634*o + 36481/2 + 148219*o**3 + 440065/2*o**2 = 0. Calculate o.
-191, -1/2
Suppose -1202 = -8*u - 1170. Suppose -8 = -4*c + u*p, 0*c - 3*p = 4*c - 15. Find o such that 12/7 - 3*o + 3/7*o**c + 6/7*o**2 = 0.
-4, 1
Let i = -15304 + 15306. Suppose -26/3*g**i + 4 - 74/3*g = 0. Calculate g.
-3, 2/13
Suppose 32*t + 121*t = -51*t - 25*t. Factor 2/5*f**4 + 0*f + 0 + 0*f**3 + t*f**2 - 2/5*f**5.
-2*f**4*(f - 1)/5
Let j(s) = -s**3 - s**2 + 4*s - 2. Let a be j(1). Suppose a = -5*v + 273 + 107. Factor -4*p**3 - 8 + 6*p**2 + p**4 + v*p - 66*p + p**4 - 6*p**3.
2*(p - 4)*(p - 1)**2*(p + 1)
Let o(n) be the first derivative of n**4 - 208*n**3/3 + 200*n**2 - 937. Let o(z) = 0. What is z?
0, 2, 50
Let g(h) be the first derivative of 7*h**4/4 - 75*h**3 + 226*h**2 - 60*h + 14. Solve g(c) = 0.
1/7, 2, 30
Let u be (8*(-4)/8)/(1/6). Let h = 29 + u. Solve 18*f**2 + 26*f**h - 22*f**5 + 18*f**2 + 60*f**3 + 28*f**4 = 0.
-3, -1, 0
Factor -1680 - 358*z - 420*z - 51*z - 19*z - 4*z**2 + 0*z**2.
-4*(z + 2)*(z + 210)
Let c(d) be the first derivative of 1/18*d**5 - 1/27*d**4 + 7 - 2/135*d**6 + 0*d**3 - 14*d + 0*d**2. Let h(s) be the first derivative of c(s). Factor h(g).
-2*g**2*(g - 2)*(2*g - 1)/9
Let f(k) be the second derivative of k**6/10 + 3*k**5/10 - 39*k**4/4 - 20*k**3 + 600*k**2 - 809*k. Factor f(u).
3*(u - 4)**2*(u + 5)**2
Let g(u) be the first derivative of -6*u**4 + 10*u**3 - 3*u**2/2 - 3*u - 536. Find m, given that g(m) = 0.
-1/4, 1/2, 1
Let s**3 + 8/7 - 34/7*s + 19/7*s**2 = 0. What is s?
-4, 2/7, 1
Factor -156*h + 0*h**4 - 4*h**4 - 1339580*h**3 + 4*h**2 + 1339736*h**3.
-4*h*(h - 39)*(h - 1)*(h + 1)
Factor 15*p**2 + 988/3*p - 44/3.
(p + 22)*(45*p - 2)/3
Let z be 46 + (-1892)/88 + 4 + -4 + -5. Factor 3/4*l**5 - 27/4*l**4 + 81/4 - 27/2*l**2 + z*l**3 - 81/4*l.
3*(l - 3)**3*(l - 1)*(l + 1)/4
Let m = 291348/728345 - 2/145669. Suppose -4/5*o**2 + 1/5*o**3 - m + o = 0. What is o?
1, 2
Factor -27*o**3 + 18*o**3 - 4260*o**2 + 6525 - 77281 + 25*o**3 + 284088*o.
4*(o - 133)**2*(4*o - 1)
Let f(c) be the first derivative of c**5/30 - c**4/8 - c**3/3 + 2*c**2/3 + 1938. Factor f(g).
g*(g - 4)*(g - 1)*(g + 2)/6
Suppose d - 1 = -k, -1304*d + 1303*d + 10 = -2*k. Determine p so that 0*p + d*p**2 + 2/5*p**3 + 0 = 0.
-10, 0
Let z(m) be the first derivative of -m**6/18 - 23*m**5/30 - m**4/3 + 17*m**3/9 + 5*m**2/6 - 11*m/6 - 1563. Solve z(k) = 0.
-11, -1, 1/2, 1
Let t(p) = 10*p**2 + 2964*p - 2974. Let q(h) = 4*h**2 + 988*h - 992. Let x(k) = 11*q(k) - 4*t(k). Factor x(l).
4*(l - 246)*(l - 1)
Suppose -697/6*r + 11/6*r**2 + 42 = 0. What is r?
4/11, 63
Let q be 3*(-6)/153 - (-1240)/1581. Let p = 322 + -319. Factor 4/3*a**2 - 1/3*a**4 - q*a**p - 1 + 2/3*a.
-(a - 1)**2*(a + 1)*(a + 3)/3
Suppose 28*l + 52 = 41*l. Factor 16*d**3 + 12*d**