 - 41 + 375*v - 2*v**2 + 34*v**2 - 31 + 8*v**2.
5*(v + 10)*(8*v - 5)
Let b be (28/12)/((-56)/(-48)). Factor 16/15*u**2 + 2/15*u**3 + 0 + b*u.
2*u*(u + 3)*(u + 5)/15
Suppose -v - 2*x + 5 = 0, 0 = -3*x - 17 + 20. Let c = -21 + 32. Factor c*o**v - 8*o**3 + 5*o - 23*o - 3*o**2.
3*o*(o - 3)*(o + 2)
Let u be -2*((-255)/10)/3. Let -40*m**3 + 7*m**3 + u*m**3 + 16*m**4 - 8*m**5 + 4*m**5 = 0. Calculate m.
0, 2
Let w(q) be the second derivative of -q**4/54 + 16*q**3/3 + 145*q**2/9 + 2*q + 310. Factor w(j).
-2*(j - 145)*(j + 1)/9
Let v(o) be the first derivative of -o**4/30 - 2*o**3 + 676. Solve v(a) = 0 for a.
-45, 0
Let h be (0*(-2)/(-4))/(-3). Let d = -5266 - -5266. What is q in -3/5*q**4 + h + 12/5*q**3 - 9/5*q**2 + d*q = 0?
0, 1, 3
Let q be ((-89)/(890/12))/(-6). Factor q*k - 4/5*k**2 + 0.
-k*(4*k - 1)/5
Let a(g) = -25*g + 27*g**2 + 90*g**3 - 174*g**3 + 1 + 80*g**3. Let z(i) = 2*i**3 + i**2 - i - 1. Let h(t) = -2*a(t) - 2*z(t). Factor h(y).
4*y*(y - 13)*(y - 1)
Let w(i) be the first derivative of -i**7/2240 - i**6/240 - 3*i**5/320 - i**3/3 - i**2/2 - 33. Let o(j) be the third derivative of w(j). Factor o(r).
-3*r*(r + 1)*(r + 3)/8
What is p in -2/9*p**3 - 4*p**2 + 530/9*p + 132 = 0?
-27, -2, 11
Factor -24/5*f**4 + 0*f - 2/5*f**5 - 128/5*f**2 + 0 - 96/5*f**3.
-2*f**2*(f + 4)**3/5
Factor 6117/2*s - 12472563/4 - 3/4*s**2.
-3*(s - 2039)**2/4
Let h(o) be the first derivative of 5*o**6/12 + o**5 - 15*o**4/2 - 95*o**3/3 - 185*o**2/4 - 30*o + 1437. Factor h(r).
5*(r - 4)*(r + 1)**3*(r + 3)/2
Let w(z) = z**3 + 7*z**2 + 6*z + 2. Suppose 3*t + 14 = 4*h, -t - 3 = 2*h - 5*h. Let p be w(t). Factor p*b**2 + 9*b**5 + 28*b**3 - 16*b**4 - 23*b**3 + 0*b**2.
b**2*(b - 1)**2*(9*b + 2)
Solve 0*p + 483*p**4 + 386/3*p**3 - 8/3*p**2 + 0 = 0.
-2/7, 0, 4/207
Suppose 3*b = 2*j - 14, j = -j + 5*b + 14. Let q be 6/(9 + -14 + j). Factor 0 - 4/7*c**2 - 3/7*c - 1/7*c**q.
-c*(c + 1)*(c + 3)/7
Let h = -152836 - -152838. Factor -32/7*v**h - 6/7*v**3 - 8/7 - 34/7*v.
-2*(v + 1)*(v + 4)*(3*v + 1)/7
Let f(r) be the first derivative of 3*r**4/8 + 40*r**3 + 975*r**2 + 9000*r + 6109. Factor f(k).
3*(k + 10)**2*(k + 60)/2
Let -16*x - 105/2 + 1/2*x**2 = 0. What is x?
-3, 35
Let f(w) be the third derivative of w**8/2352 + w**7/245 + w**6/105 + 6*w**2 + 6. Find n such that f(n) = 0.
-4, -2, 0
Let k = 766 - 20656/27. Let j = k + -20/27. Let 2/9*f**2 + 0 - 2/9*f**4 - j*f + 2/9*f**3 = 0. What is f?
-1, 0, 1
Let u(a) be the second derivative of -a**5/630 + 5*a**4/126 - a**3/7 + 20*a**2 + 2*a + 22. Let b(v) be the first derivative of u(v). Solve b(h) = 0 for h.
1, 9
Suppose -1172*g + 1/2*g**2 + 686792 = 0. Calculate g.
1172
Let h(y) be the first derivative of -8*y + 10*y**3 + y**5 + 23/4*y**4 + 2*y**2 - 201. Suppose h(r) = 0. Calculate r.
-2, -1, 2/5
Factor -9160/3*c - 3453*c**2 - 2032/3 - 27*c**3.
-(c + 127)*(9*c + 4)**2/3
Factor -1/3*g**3 + 13 - 13*g**2 + 1/3*g.
-(g - 1)*(g + 1)*(g + 39)/3
Let q = 16 + -20. Let a(p) = 2*p**2 + 30*p + 39. Let v(b) = 4 - 26*b + b**2 + 16 + 53*b - 11*b. Let i(r) = q*a(r) + 7*v(r). Suppose i(w) = 0. Calculate w.
-4
Suppose 4*f + 4*u = u + 92, 138 = 5*f - 2*u. Let d = f + -24. What is c in 5*c**2 + c + 10*c - 4*c - d*c = 0?
-1, 0
Let m(u) be the second derivative of -u**4/12 - 35*u**3/2 - 52*u**2 - 217*u + 1. Factor m(p).
-(p + 1)*(p + 104)
Let f(a) be the first derivative of a**5/70 + 2*a**4/21 + 4*a**3/21 - 22*a + 11. Let t(v) be the first derivative of f(v). Suppose t(p) = 0. Calculate p.
-2, 0
Let g = 717 - 667. Suppose 4*o - 260 = -4*w, -o + g = -12*w + 8*w. What is s in 120/7*s**2 + 32/7 + 14*s**4 - o*s**3 + 184/7*s = 0?
-2/7, 1, 4
Let n(r) be the second derivative of -r**4/4 - 348*r**3 - 181656*r**2 - r - 255. Find m, given that n(m) = 0.
-348
Let j be (4 + -3)/((-54)/486*(-207)/82). Factor -78/23 - j*y**2 + 2/23*y**3 + 158/23*y.
2*(y - 39)*(y - 1)**2/23
Let d be (-780)/(-1200)*32/(-44)*5/(-1). Factor 6/11 - d*u + 8/11*u**2.
2*(u - 3)*(4*u - 1)/11
Let z = 6803 - 27211/4. Let k(q) be the second derivative of 6*q**2 + z*q**4 + 0 + 5/2*q**3 + 13*q. Let k(u) = 0. What is u?
-4, -1
Find d such that 207/4 - 23/4*d**2 + 1/4*d**3 - 9/4*d = 0.
-3, 3, 23
Let v(s) be the first derivative of s**3/15 - 17*s**2/5 - 72*s/5 + 1997. Solve v(j) = 0.
-2, 36
Let d = 821553/46 + -480407623/26910. Let g = d + 661/45. Factor -2/13*k**2 + 48/13*k - g.
-2*(k - 12)**2/13
Let a(h) be the third derivative of -h**8/336 + 19*h**7/945 - h**6/135 - 2*h**2 + 1116*h. Factor a(r).
-r**3*(r - 4)*(9*r - 2)/9
Let h(s) = -26*s**3 + 26*s**2 + 25*s + 15. Let y(p) = 41*p**3 - 40*p**2 - 38*p - 23. Let o(j) = 11*h(j) + 7*y(j). Solve o(a) = 0.
-4, -1
Determine p so that 134/3 - 23*p + 1/3*p**2 = 0.
2, 67
Let a(n) be the first derivative of -n**4/16 - 3*n**3/2 - 69*n**2/8 - 13*n - 40. Determine w, given that a(w) = 0.
-13, -4, -1
Let j(n) be the third derivative of -1/210*n**5 + 0*n**3 + 0*n**6 + 0 + 0*n**4 + 102*n**2 + 1/735*n**7 + 0*n. Factor j(m).
2*m**2*(m - 1)*(m + 1)/7
Let f = 4016 - 20044/5. Let l be (-12)/(-8)*(-4 - -6). Determine a so that 6/5 + 27/5*a + f*a**2 + 3*a**l = 0.
-1, -2/5
Let c be 56268/1563*-3*(-2)/243. Factor 0*i - 26/9*i**3 + 0 - 10/9*i**5 - c*i**2 - 28/9*i**4.
-2*i**2*(i + 1)**2*(5*i + 4)/9
Let j = 6479/3 + -2149. Let k(f) be the first derivative of 28/5*f**5 - 8*f**2 + 19*f**4 + j*f**3 + 0*f - 7. Factor k(u).
4*u*(u + 1)*(u + 2)*(7*u - 2)
Let d(s) be the first derivative of s**5 - 2375*s**4/4 + 93610*s**3 + 143990*s**2 - 566440*s + 1413. Factor d(l).
5*(l - 238)**2*(l - 1)*(l + 2)
Let b(m) be the second derivative of -m**4/36 + 97*m**3/9 + 196*m**2/3 + 1112*m. Factor b(k).
-(k - 196)*(k + 2)/3
Let r(g) be the first derivative of -8*g - 2*g**2 + 43 + 8/3*g**3 + g**4. What is u in r(u) = 0?
-2, -1, 1
Factor -4608/11 - 98/11*p**2 - 1344/11*p.
-2*(7*p + 48)**2/11
Let g(o) be the third derivative of o**5/140 - 9*o**4/2 + 747*o**3/14 - 5686*o**2. Let g(q) = 0. Calculate q.
3, 249
Let r(w) be the first derivative of 1/9*w**4 + 2/3*w**3 - 5*w - 1/60*w**5 + 26 + 0*w**2. Let p(a) be the first derivative of r(a). Suppose p(h) = 0. What is h?
-2, 0, 6
Let z be 1 + 6 + (-3)/(-36)*207/(-3). Let r(m) be the second derivative of 5/4*m**5 - 10*m**2 + 0 - z*m**4 - 10*m**3 + 31*m. Factor r(k).
5*(k - 2)*(k + 1)*(5*k + 2)
Let y(m) be the second derivative of m**5/30 - 11*m**4/12 + 10*m**3/3 - 79*m**2/2 + 3*m - 13. Let z(a) be the first derivative of y(a). What is p in z(p) = 0?
1, 10
Let w be (-4554)/(-112) + (-462)/1232. Factor w*u**2 - 52/7*u**3 + 56 + 2/7*u**4 + 104*u.
2*(u - 14)**2*(u + 1)**2/7
Let j be (-2237)/(-7) - 6*6/(-84). What is a in -j*a + 3*a**2 - 324*a + 641*a = 0?
0, 1
Let z(a) be the first derivative of 6*a**2 - 3/5*a**5 - 3/2*a**4 - 12*a + 3*a**3 - 52. Suppose z(f) = 0. Calculate f.
-2, 1
Let b(z) be the third derivative of z**5/30 - 85*z**4/12 - 8*z**2 + 3. Factor b(c).
2*c*(c - 85)
Let k(y) be the second derivative of -y**5/5 + 4*y**4 + 50*y**3/3 - 312*y**2 + 623*y + 3. Factor k(r).
-4*(r - 13)*(r - 3)*(r + 4)
Let i(c) be the first derivative of -c**6/42 - 31*c**5/35 - 283*c**4/28 - 673*c**3/21 - 44*c**2 - 28*c - 677. Determine m so that i(m) = 0.
-14, -1
Let i = 1512 - 1509. Let j(q) be the first derivative of 12/5*q + 8 + 0*q**2 - 1/5*q**i. Factor j(l).
-3*(l - 2)*(l + 2)/5
Let v(b) be the third derivative of b**7/315 - 43*b**6/45 + 77*b**5/6 - 23*b**2 - b + 50. Factor v(q).
2*q**2*(q - 165)*(q - 7)/3
Determine b, given that -584 - 2800*b**2 + 1406*b**2 + 1396*b**2 - 138*b = 0.
-4, 73
Let b be 3*(46/(-3))/(-2) - 1. Suppose -26 = -16*a + b. Suppose 0 - 5/3*o**a + 0*o + 3*o**5 - 2*o**4 + 2/3*o**2 = 0. Calculate o.
-2/3, 0, 1/3, 1
Let h(d) be the second derivative of d**5/5 + 25*d**4 + 236*d**3 + 560*d**2 - 5029*d. Find z such that h(z) = 0.
-70, -4, -1
Find d such that -69192*d - 1/2*d**3 + 372*d**2 + 0 = 0.
0, 372
Let w = -90385/11 - -8217. Find s, given that -3042/11 - w*s**2 - 156/11*s = 0.
-39
Suppose 0 = w - 76 + 71. Suppose s = 2*g - 10, -25 = 3*s - 8*s - w*g. Let -b**2 + s*b**2 - 30*b**2 + 9*b**3 - 24*b + b**2 = 0. What is b?
-2/3, 0, 4
Let c(f) = -f**3 - f**2 - f - 1. Let b be ((32/6)/(-2))/(16/24). Let d(m) = -m**3 - 31*m**2 + 222*m - 198. Let y(j) = b*c(j) + 2*d(j). Factor y(s).
2*(s - 14)**2*(s - 1)
Let n(o) = -14*o**3 + 408*o**2 - 54*o - 113. Let g be n(29). Factor 7