 - 36670*i**2 - 6853816/3*i + 7189057.
-(i - 3)*(i + 193)**3/3
Factor 2/9*v**5 - 2 + 2/3*v**4 - 52/9*v**2 - 6*v - 4/3*v**3.
2*(v - 3)*(v + 1)**3*(v + 3)/9
Let s = -2547 - -2507. Let r be (s/50 - 0) + (-28)/(-30). Solve r*i**2 + 2/3*i + 8/15 = 0.
-4, -1
Let a be 3/(6/10) + 1539/(-342). Factor a*h**2 - 11/2 - 5*h.
(h - 11)*(h + 1)/2
Let d(u) = -u**3 + 19*u**2 + 25*u + 5. Let m(i) = 474*i + 1 - 5*i**3 - 236*i + 4*i**3 - 237*i - i**2. Let z(o) = -d(o) + 5*m(o). Suppose z(t) = 0. What is t?
-5, -1, 0
Suppose 4*u = -10*u + 11*u + 12. Let z(l) be the third derivative of 0*l**3 + 0 + 0*l + 11*l**2 + 1/90*l**5 - 1/180*l**6 + 0*l**u. Factor z(t).
-2*t**2*(t - 1)/3
Let a(d) be the second derivative of -d**7/42 + d**6/30 + d**5/2 - 5*d**4/6 - 3*d**3/2 + 9*d**2/2 + 2058*d. Solve a(g) = 0.
-3, -1, 1, 3
Let x(z) be the first derivative of 11*z**4/16 - 35*z**3/12 - 13*z**2 + 5*z - 1358. Suppose x(a) = 0. What is a?
-2, 2/11, 5
Let w be ((-18)/10)/(9 - (-183)/(-20)). Let i be 4 + 90/(-24) + 33/w. Factor 5/2*g**i + 3/2*g + 0 + 7/2*g**2 + 1/2*g**4.
g*(g + 1)**2*(g + 3)/2
Let y be 99 + -101 - 279*(0 - -4). Let i be 4/(-6) + y/(-903). Solve -8/7*u**4 + i*u + 6/7*u**3 + 0 + 18/7*u**2 = 0 for u.
-1, -1/4, 0, 2
Factor 0 - 11/3*v**2 + 0*v - 1/3*v**3.
-v**2*(v + 11)/3
Let z(j) be the third derivative of -j**5/30 + 29*j**4/3 - 4756*j**2. What is m in z(m) = 0?
0, 116
Factor 524*w**2 + 152*w**3 + 3548*w - 234 - 126 + 162*w**3 - 354*w**3.
-4*(w - 18)*(w + 5)*(10*w - 1)
Let i(q) be the first derivative of -q**7/42 - q**6/6 - 3*q**5/10 + q**4/3 + 4*q**3/3 + 89*q + 182. Let n(d) be the first derivative of i(d). Factor n(o).
-o*(o - 1)*(o + 2)**3
Let z(u) be the third derivative of u**6/30 + 43*u**5/15 + 391*u**4/6 - 1058*u**3 + 1121*u**2. Factor z(l).
4*(l - 3)*(l + 23)**2
Let s(t) be the second derivative of 17*t**7/147 - 19*t**6/105 - 101*t**5/35 + 4*t**4/7 + 4466*t. Solve s(v) = 0.
-3, 0, 2/17, 4
Suppose 17258*w**2 - 945 - 8636*w**2 - 8625*w**2 - 324*w = 0. Calculate w.
-105, -3
Let w = 854696/7 - 122099. Factor w*v - 3/7*v**2 + 6/7.
-3*(v - 2)*(v + 1)/7
Determine i, given that 158*i**2 - 72 + 2739*i - 155*i**2 - 2670 = 0.
-914, 1
Let j(y) be the second derivative of y**5/10 - 107*y**4/6 + 2656*y**3/3 - 19200*y**2 + 11042*y. Factor j(b).
2*(b - 75)*(b - 16)**2
Factor 1/2*s**2 - 359/2*s + 179.
(s - 358)*(s - 1)/2
Let b = -3412 - -3424. Let f(z) be the first derivative of -5/18*z**4 + b + 0*z + 4/9*z**2 + 0*z**3 + 0*z**5 + 1/27*z**6. Find h, given that f(h) = 0.
-2, -1, 0, 1, 2
Let p = 514 - 516. Let n be -4 - p - 280/(-49). Factor 4/7*q + 0 + n*q**2.
2*q*(13*q + 2)/7
Let t(v) be the third derivative of v**5/20 - 3*v**4/2 - 14*v**3 - 421*v**2. Factor t(f).
3*(f - 14)*(f + 2)
Factor 0*p**5 - 74215*p**2 - p**5 - 88209*p + 592*p**4 - 59605*p**3 - 27417*p**3 - 101609*p**2.
-p*(p - 297)**2*(p + 1)**2
Factor -216090*h**2 - 2/5 + 588*h.
-2*(735*h - 1)**2/5
Suppose 38*q = -186*q + 20*q + 408. Let t(d) be the first derivative of 3/4*d**4 - 3/2*d**q + 14 - 2*d**3 + 6*d. Factor t(y).
3*(y - 2)*(y - 1)*(y + 1)
Factor -4689*z**2 + 4765*z**2 + 0 + 22 - 838*z.
2*(z - 11)*(38*z - 1)
What is z in 2/17*z**4 - 236/17*z**3 + 236/17*z + 0 - 2/17*z**2 = 0?
-1, 0, 1, 118
Suppose 68 = 6*q - 30*r + 34*r, 0 = -4*q - 3*r + 50. Let 4/5*f**3 + 0*f - 4/5*f**q + 0 - 1/5*f**4 = 0. What is f?
0, 2
Let f(z) be the second derivative of -8/7*z**2 - 4*z + 1/147*z**7 + 0 + 5/14*z**5 + 4/3*z**3 - 19/21*z**4 - 8/105*z**6. Factor f(h).
2*(h - 2)**3*(h - 1)**2/7
Let i = -43404 + 43407. Factor 0 + 2/13*g**i - 16/13*g - 14/13*g**2.
2*g*(g - 8)*(g + 1)/13
Let m be (-1606)/(-220) - 30/100. Let l(h) be the second derivative of 0*h**3 + 0 - 1/20*h**4 + 0*h**2 + 7/100*h**5 + 1/210*h**m + 9*h - 1/30*h**6. Factor l(i).
i**2*(i - 3)*(i - 1)**2/5
Let j = -65637 - -65640. Solve -7/2*t**3 - 13/2*t**2 + 0 - j*t = 0.
-1, -6/7, 0
Let a = -551101 - -551104. Factor 63*n**2 + 108 + 1/2*n**4 + 162*n + 19/2*n**a.
(n + 1)*(n + 6)**3/2
Suppose -5*t - 3*u - 3 = -7*u, -4 = -2*u. Suppose -2*q + 5 = t. Find g such that -g**q - 206*g - 3*g**2 + 203*g = 0.
-3/4, 0
Let i be (-6556)/(-1341) - (-260)/(-90). What is o in -3/2 - 7/4*o - 1/2*o**i = 0?
-2, -3/2
Let c(z) = -z**4 + z**2 - z + 12. Let h(o) = 2*o**5 - 62*o**4 + 192*o**3 - 248*o - 96. Let u(r) = 8*c(r) + h(r). Let u(x) = 0. What is x?
-1, 0, 2, 32
Let k = 197 + -196. Let s be ((-5)/10 - 1)/(k/(-2)). Let 3 - 63/4*l**s + 0*l + 63/4*l**5 + 129/4*l**4 - 141/4*l**2 = 0. Calculate l.
-2, -1, -1/3, 2/7, 1
Let a(c) be the third derivative of 0 - 5/6*c**3 - 104*c**2 + 11/24*c**4 - 7/60*c**5 + 0*c + 1/120*c**6. Factor a(l).
(l - 5)*(l - 1)**2
Suppose 0 = 2*d - 25 + 13. Let v be (-4)/(-6) - (-52)/12. Suppose 4*x - d - v*x + 3*x**2 + 4*x = 0. Calculate x.
-2, 1
Let d(i) be the first derivative of -12*i**3 + 11*i**2/2 + 89*i - 12. Let l(a) = 7*a**2 - 2*a - 18. Let x(h) = -2*d(h) - 11*l(h). Factor x(t).
-5*(t - 2)*(t + 2)
Let w(y) be the second derivative of 0 + 9/2*y**2 + 1/72*y**4 + 55/36*y**3 + 240*y. Let w(f) = 0. Calculate f.
-54, -1
Suppose -13*m = -21*m + 24. Factor 80 + 0*o**3 - 9*o**2 + 2*o**3 - 3*o - 71 + o**m.
3*(o - 3)*(o - 1)*(o + 1)
Determine r, given that 55348*r**4 + 1432707*r - 322499*r + 92416 + 256*r**5 + 24406*r**4 - 1738*r**4 + 5973040*r**3 + 4450564*r**2 = 0.
-152, -1/4
Let a(c) be the first derivative of 1/66*c**4 - 12 + 2/11*c**3 - 10*c + 9/11*c**2. Let n(s) be the first derivative of a(s). Solve n(z) = 0.
-3
Let r(p) = -p**2 + 197*p - 9394. Let l be r(81). Factor 2/3*f**l - 4 - 10/3*f.
2*(f - 6)*(f + 1)/3
Let x(q) be the second derivative of -q**2/2 - 39*q. Let k(o) be the first derivative of -25*o**4/4 - 5*o**3 + 15*o - 6. Let w(h) = k(h) + 15*x(h). Factor w(c).
-5*c**2*(5*c + 3)
What is u in 334/13*u**3 - 2/13*u**4 + 0 + 0*u + 336/13*u**2 = 0?
-1, 0, 168
Let h(y) be the first derivative of -60 + 2/5*y**5 + 11/4*y**4 - 4*y**3 - 1/6*y**6 + 0*y - 18*y**2. Factor h(q).
-q*(q - 3)**2*(q + 2)**2
Let h(q) be the first derivative of 4*q - 11/21*q**3 + 6/7*q**2 - 1/21*q**4 - 17. Let p(f) be the first derivative of h(f). Find l, given that p(l) = 0.
-6, 1/2
Let u(w) = w**2 + 16*w + 114. Let x(k) = 35*k + 230. Let p(y) = -5*u(y) + 3*x(y). Factor p(a).
-5*(a - 8)*(a + 3)
Let x(n) be the first derivative of -2*n**5/11 - 24*n**4/11 + 10*n**3/11 + 14*n**2 + 192*n/11 - 3392. Let x(i) = 0. What is i?
-48/5, -1, 2
Suppose 0*b + 50 = 5*q + 3*b, -5*q = -5*b - 50. Let m be q/20 - (-2 - 507/18). Suppose m*z**2 - 8*z**3 - 40*z + 50/3 + 2/3*z**4 = 0. Calculate z.
1, 5
Let j(f) be the first derivative of 1/5*f**3 + 61 + 12*f + 63/10*f**2. What is g in j(g) = 0?
-20, -1
Let v(l) be the first derivative of l**6/360 + l**5/45 + l**4/24 - 21*l**2 + 27. Let p(x) be the second derivative of v(x). Factor p(b).
b*(b + 1)*(b + 3)/3
Let i(f) be the third derivative of 3*f**2 - 2/3*f**5 - 9 + 0*f**3 - 4/3*f**4 + 2/105*f**7 - 1/30*f**6 + 0*f. Factor i(k).
4*k*(k - 4)*(k + 1)*(k + 2)
Suppose 0 = -v - 4*o - 10, 6 = 4*v + 3*o + 7. Factor 11*q**v + 3*q**2 - 14*q**2 + 22*q + 6*q**2.
2*q*(3*q + 11)
Let n = -3/114452 - -64380/28613. Factor 3 - 3/4*i**3 + 0*i - n*i**2.
-3*(i - 1)*(i + 2)**2/4
Let i be 0/((-11)/(121/(-33)) + 1 + -2). Let d(o) be the second derivative of -1/60*o**4 - o + 3/10*o**2 + i - 1/15*o**3. Factor d(j).
-(j - 1)*(j + 3)/5
Find d such that 109/7*d + 1/7*d**2 + 214/7 = 0.
-107, -2
Let l = 1803856 - 9019278/5. Let -42/5*k + 8 + l*k**2 = 0. What is k?
1, 20
Factor 43/4*g**3 - 43/4*g - 1/4*g**4 - 41/4*g**2 + 21/2.
-(g - 42)*(g - 1)**2*(g + 1)/4
Factor -6*w**4 + 13*w**3 + 340*w + 11*w**4 + 295*w**2 + 96*w**3 + 140 + w**3 + 10*w**4.
5*(w + 1)*(w + 2)**2*(3*w + 7)
Let y(w) = -28*w**3 + 21268*w**2 + 42180*w + 21016. Let t(g) = 2*g**3 - 1418*g**2 - 2812*g - 1401. Let u(o) = -44*t(o) - 3*y(o). Factor u(z).
-4*(z + 1)**2*(z + 351)
Factor 3/7*d**3 - 45/7*d**2 + 6*d + 0.
3*d*(d - 14)*(d - 1)/7
Let i(t) be the first derivative of t**3/4 + 441*t**2/4 - 885*t/4 - 2896. Suppose i(p) = 0. What is p?
-295, 1
Let x(u) be the first derivative of 5*u**4 - 175*u**3/3 + 315*u**2/2 + 90*u + 1103. Factor x(n).
5*(n - 6)*(n - 3)*(4*n + 1)
Let x(d) be the third derivative of d**5/180 - 5*d**4/72 + d**3/3 - 3*d**2 - 9*d - 88. Factor x(z).
(z - 3)*(z - 2)/3
Let q be (-90)/(-14) - (-3 + 10). Let k = 8/7 + q. Find m such that