**3 + 4/3 - 1/3*o**v + 4/3*o.
-(o - 2)*(o + 1)*(o + 2)/3
Factor -2/7*b**4 - 1143048/7*b**2 - 3016/7*b**3 - 4536064/7*b - 4524032/7.
-2*(b + 2)**2*(b + 752)**2/7
Suppose -16483 - 134*g**3 - 53*g**3 + g**4 + 559*g + 16857 - 3*g**2 = 0. What is g?
-1, 2, 187
Let t(g) be the second derivative of 2*g - 26 - 15/4*g**4 - 10*g**2 - 10*g**3. Factor t(p).
-5*(3*p + 2)**2
Determine s so that -92/3*s - 128/3 + 1/6*s**3 - 13/3*s**2 = 0.
-4, -2, 32
Let g = 148 + -148. Factor -4*k**2 - 10 + 22 + g + 4*k + 12.
-4*(k - 3)*(k + 2)
Let o(v) = 26*v**3 - 1338*v**2 - 10332*v - 20332. Let b(z) = -11*z**3 + 535*z**2 + 4133*z + 8133. Let h(w) = -12*b(w) - 5*o(w). Factor h(p).
2*(p + 4)**2*(p + 127)
Let a(o) = 2*o**3 + o**2 - 18*o + 1. Let i(d) = -d**2 + 4*d - 6. Let h be i(0). Let q(n) = -2*n**3 - n**2 + 20*n - 2. Let f(j) = h*a(j) - 5*q(j). Factor f(z).
-(z - 2)*(z + 2)*(2*z + 1)
Let h be 259/14 + -6 - 12/8. Let s be (-144)/(-600)*(-2 + 1 + h). Factor s - 9/5*f**3 + 33/5*f**2 - 36/5*f.
-3*(f - 2)*(f - 1)*(3*f - 2)/5
Let x(d) = -33*d**2 - 925*d - 916. Let g(v) = -75*v**2 - 1854*v - 1833. Let f(y) = 4*g(y) - 9*x(y). Let f(j) = 0. Calculate j.
-1, 304
Let m(v) = 24 - 10*v**3 + 4*v**2 - 21*v + 30*v + 21*v + 0*v**2. Let o(p) = -28*p**3 + 11*p**2 + 89*p + 72. Let g(l) = -11*m(l) + 4*o(l). Factor g(j).
-2*(j - 4)*(j + 1)*(j + 3)
Let k(l) = l**4 - l**3 + l**2 + 1. Let x(q) = -5*q**4 - q**3 + 21*q**2 + 80*q + 61. Let u(i) = -3*k(i) - x(i). Let u(g) = 0. What is g?
-2, 4
Let s(i) = 3*i**2 - 588*i + 1124. Let c(q) = -q**2 + 22*q. Let r(m) = c(m) + s(m). Find z, given that r(z) = 0.
2, 281
Suppose -2*o = -4*s - 4, 4*s - 9 = -5*o + 1. Factor 0 - 8/15*h + 2/15*h**o.
2*h*(h - 4)/15
Let b(s) be the first derivative of -s**4/2 + 224*s**3/3 + s**2 - 224*s - 1473. Factor b(t).
-2*(t - 112)*(t - 1)*(t + 1)
Let x = -1 + -2. Let a(j) = j**5 - j**4 - j**2 - j. Let v = 6273 + -6267. Let m(n) = n**5 - 3*n**4 - 2*n**2 - 2*n. Let p(y) = v*a(y) + x*m(y). Factor p(w).
3*w**4*(w + 1)
Let m(z) be the first derivative of -7/25*z**5 + 4/5*z**4 - 4/5*z**3 + 0*z + 0*z**2 + 1/30*z**6 + 178. Factor m(a).
a**2*(a - 3)*(a - 2)**2/5
Let m(f) = 15*f**5 - 246*f**4 - 945*f**3 - 1389*f**2 - 930*f - 225. Let d(o) = 2*o**5 + o**3 + 3*o**2 + o + 1. Let z(p) = -9*d(p) + m(p). Factor z(i).
-3*(i + 1)**4*(i + 78)
Solve -3*y**4 + 9 + 57/2*y - 33*y**3 + 9/2*y**5 - 6*y**2 = 0.
-2, -1, -1/3, 1, 3
Find z such that -308*z + 23*z**3 + 52*z**4 + 50*z**3 - 9*z**5 + 5*z**5 + 239*z**3 + 4356 - 4408*z**2 = 0.
-9, -1, 1, 11
Let i = 113008 + -226013/2. Find m such that 1/2*m**3 - i*m**2 + 3/4*m**5 - 5/4*m + 7/4*m**4 - 1/4 = 0.
-1, -1/3, 1
Let z = 4993 + -3145589/630. Let q(k) be the third derivative of 0 - 1/180*k**6 - 15*k**2 + 0*k + 0*k**5 + 1/336*k**8 + 0*k**3 - z*k**7 + 0*k**4. Factor q(r).
r**3*(r - 1)*(3*r + 2)/3
Let a be (-133)/(-189)*6 + (-6)/27. Let g(n) be the second derivative of 1/120*n**6 + 0 - 5/48*n**a - 1/80*n**5 - 1/8*n**3 - 9*n + 0*n**2. Factor g(l).
l*(l - 3)*(l + 1)**2/4
Let -20/3*k**2 + 0 + 2/3*k**3 + 32/3*k = 0. What is k?
0, 2, 8
Let v(w) = w**3 - 31*w**2 + 29*w + 33. Suppose 2 = -7*i + 212. Let j be v(i). Factor 2/7*r**4 + 6/7*r**j + 0*r**2 + 0 + 0*r.
2*r**3*(r + 3)/7
Let i(h) be the first derivative of h**3/6 + 255*h**2/2 - 511*h/2 - 2877. Factor i(y).
(y - 1)*(y + 511)/2
Let g(x) be the third derivative of -1/60*x**5 - 13/96*x**4 - 1/8*x**3 + 3*x**2 + 0*x + 0. Factor g(t).
-(t + 3)*(4*t + 1)/4
Let y be 3/105 - ((-2)/31 - (-11990)/(-23653)). Factor -24/5*g + 1/5*g**3 - y*g**2 + 16.
(g - 4)**2*(g + 5)/5
Let d(f) be the second derivative of f**6/180 - f**5/5 + 9*f**4/4 + 2*f**3/3 + 11*f**2 - 43*f + 2. Let c(y) be the second derivative of d(y). Factor c(w).
2*(w - 9)*(w - 3)
Let u(n) be the second derivative of -n**4/6 + 9*n**3 - 224*n**2 + 22*n + 3. Let f(r) = -2*r**2 + 51*r - 447. Let v(w) = 4*f(w) - 6*u(w). Factor v(p).
4*(p - 15)**2
Let x(r) be the third derivative of -r**7/315 - r**6/48 + r**5/60 - 29*r**4/4 - 31*r**2 + 3*r. Let p(q) be the second derivative of x(q). Factor p(w).
-(w + 2)*(8*w - 1)
Let f be 0/(343/735*15). Solve x**3 + f - 1/2*x**4 - 1/2*x**2 + 0*x = 0.
0, 1
Determine q so that 44/3*q + 1/3*q**2 + 41 = 0.
-41, -3
Let v(w) be the second derivative of w**4/48 + 37*w**3/24 + 35*w**2/4 + 148*w + 9. Let v(c) = 0. Calculate c.
-35, -2
Let m be ((-136)/(-2))/((-164578)/(-4331)). Factor -6/19 + 32/19*t - m*t**2 + 8/19*t**3.
2*(t - 3)*(t - 1)*(4*t - 1)/19
Let s(n) = 2*n**2 - 30. Let z be s(-4). Let 30*i**z + i**3 + 23 - 2 - 68*i - 6*i**3 + 8*i + 19 = 0. Calculate i.
2
Factor -425/2*i + 1/8*i**2 - 1701/8.
(i - 1701)*(i + 1)/8
Let c(p) be the second derivative of -p**7/42 + 3*p**6/5 + 12*p**5/5 - 40*p**4/3 + p + 245. Factor c(y).
-y**2*(y - 20)*(y - 2)*(y + 4)
Let z(l) = 4*l**3 - 232*l**2 + 228*l - 10. Let q(b) = -6*b**3 + 348*b**2 - 342*b + 14. Let d(n) = -5*q(n) - 7*z(n). Factor d(g).
2*g*(g - 57)*(g - 1)
Let d(w) be the first derivative of 3*w**4/2 - 2*w**3/3 + w**2/2 + 16. Let o be d(1). Determine c so that c + o*c**2 - 5 - 10*c + 9*c = 0.
-1, 1
Let t(x) be the third derivative of -31*x**7/350 + 47*x**6/150 - 97*x**5/300 + x**4/60 - 29*x**2 - 10*x. Factor t(m).
-m*(m - 1)**2*(93*m - 2)/5
Find d, given that 486/11*d**2 - 28/11*d**3 - 2/11*d**4 + 1400/11 - 1544/11*d = 0.
-25, 2, 7
Let b be -5 + 4 - (-137930)/440. Let a = b - 1239/4. Solve a + 6/11*f**2 - 36/11*f = 0.
1, 5
Let y(r) be the third derivative of 0*r - 1/6*r**3 + 5*r**2 - 10 + 3/40*r**5 + 17/48*r**4. Find s such that y(s) = 0.
-2, 1/9
Let p be ((-17822)/2755 - 24/(-348))*(-3 + (-22)/(-8)). Determine k so that -p*k + 9/5 - 1/5*k**2 = 0.
-9, 1
Let d(m) be the second derivative of m**5/80 + 133*m**4/24 + 265*m**3/24 + 214*m + 9. Factor d(y).
y*(y + 1)*(y + 265)/4
Let d(m) be the second derivative of -5*m**4/72 + 5*m**3/18 - 1520*m + 2. Let d(l) = 0. Calculate l.
0, 2
Let r = -4/815 - -362/7335. Let k(i) be the first derivative of -14 - 4/15*i - 1/15*i**2 + r*i**3. Factor k(s).
2*(s - 2)*(s + 1)/15
Let t(i) be the third derivative of 0*i**4 + 0*i - 5/27*i**5 - 6*i**2 + 4/135*i**7 + 3 - 11/108*i**6 - 1/504*i**8 + 0*i**3. Factor t(q).
-2*q**2*(q - 5)**2*(3*q + 2)/9
Let f(w) = w**2. Let n(m) = 13*m**2 + 14*m + 20. Let x(q) = -q**2. Let k(g) = -n(g) - 6*x(g). Let o(b) = -10*f(b) - 2*k(b). Find v, given that o(v) = 0.
-5, -2
Find v, given that -95306/3*v**3 - 1037684/9*v**2 - 46/9*v**5 - 314200/3*v - 2360/3*v**4 + 10000 = 0.
-75, -2, 2/23
Let j(b) be the third derivative of b**7/70 + b**6/8 - 253*b**5/20 + 247*b**4/8 + b**2 + 3*b - 27. Suppose j(p) = 0. Calculate p.
-19, 0, 1, 13
Solve -3/7*a**2 + 564/7 - 561/7*a = 0 for a.
-188, 1
Let l(f) be the first derivative of -174 + 110/3*f**3 + 53240/3*f - 5/12*f**4 - 1210*f**2. What is j in l(j) = 0?
22
Suppose 6*m**2 - 2*m**4 + 1242684*m**3 + 4*m**4 - 1242693*m**3 + m**4 = 0. Calculate m.
0, 1, 2
Determine h so that 6840*h + 505244 + 101*h**2 + 2948033 + 211356 + 2183567 - 99*h**2 = 0.
-1710
Let z(a) = -697 + 697 + a**3 - a**2 + a**3. Let j(l) = -l**5 - 5*l**4 + 6*l**3 + 8*l**2 - l - 5. Let t(s) = -j(s) + 2*z(s). Factor t(f).
(f - 1)**2*(f + 1)**2*(f + 5)
Let -3771*w**3 + 3 + 3767*w**3 - 1440*w - 3 + 212*w**2 = 0. Calculate w.
0, 8, 45
Let w be 24 + (-3 - (9 - 3)). Determine v, given that -4*v**2 + w*v + 2*v**2 - 26 - 16*v + 29*v = 0.
1, 13
Let t be 906/2*(-41)/15. Let g = t + 1240. What is i in -g*i**2 + 0*i + 1/5 = 0?
-1/3, 1/3
Let u(m) = -16*m**3 + 4*m**2 - 4*m + 13. Let t be u(3). Let v = 399 + t. Factor -3*j**3 + 0*j - 3/4*j**v + 0 + 0*j**2.
-3*j**3*(j + 4)/4
Let g(i) be the third derivative of i**7/1120 - i**6/480 - i**5/80 - 79*i**3/6 + 50*i**2. Let h(s) be the first derivative of g(s). Factor h(k).
3*k*(k - 2)*(k + 1)/4
Let s(y) be the third derivative of -y**7/945 + 13*y**6/60 - 2021*y**5/135 + 312*y**4 + 37856*y**3/27 + 296*y**2 - 8*y. Suppose s(z) = 0. What is z?
-1, 14, 52
Determine k, given that -131996*k + 1368*k**2 + 1290*k**4 + 823*k**3 + 36*k**5 + 132268*k + 1083*k**3 + 378*k**3 = 0.
-34, -2/3, -1/2, 0
Let l(b) be the second derivative of -b**5/80 - 97*b**4/24 - 193*b**3/24 - 32*b + 24. Determine p, given that l(p) = 0.
-193, -1, 0
Let i(q) be the second derivative of -169*q**5/80 - 39*q**4/16 + 2*q**3 - q**2/2 - 2027*q. Factor i(r).
-(r + 1)*(13*r - 2)**2/4
Let y(i) be the sec