. Calculate v.
-1, -1/3, 0, 9
Find g such that 46330/3*g + 5/3*g**2 + 107323445/3 = 0.
-4633
Let s = -158669/45 + 3526. Let w(b) be the first derivative of -s*b**6 + 14 + 1/15*b**2 + 0*b**4 - 4/45*b**3 + 0*b + 4/75*b**5. Let w(u) = 0. What is u?
-1, 0, 1
Let t be -1 - (4 - 69/(-3)). Let l = 36 + t. Determine i so that i**3 + 43*i**2 - 2*i**3 - l*i - 38*i**2 + 4 = 0.
1, 2
Solve -2*v**2 - 3/2*v**3 + 1/4*v**5 + 3/2 + 1/2*v**4 + 5/4*v = 0.
-3, -1, 1, 2
Let b = 115 - 114. Let f be 5/(21 - 6) + b/(-3). Suppose 3/2*o**4 + 8*o**2 + f + 2*o + 13/2*o**3 = 0. What is o?
-2, -1/3, 0
Let h(d) be the first derivative of 5*d**3/3 + 895*d**2 - 8307. Find l such that h(l) = 0.
-358, 0
Let g = -1 - -5. Solve -c**2 + g*c**2 - 40 + 0*c + 2*c**2 + 10*c = 0.
-4, 2
Suppose 64 = -19*c + 157 - 55. Let r(n) be the first derivative of 16*n + 18 - 2/3*n**3 + 2*n**c. Factor r(z).
-2*(z - 4)*(z + 2)
Let g(l) be the third derivative of -l**7/630 + 289*l**6/360 - 19*l**5/2 + 851*l**4/18 - 1132*l**3/9 + 3441*l**2. Factor g(u).
-(u - 283)*(u - 2)**3/3
Let y = -16 + 23. Let h = -2 + y. Factor h*x**3 + 10*x**4 + 6*x**2 - 10*x**2 + 4*x**2 + 5*x**5.
5*x**3*(x + 1)**2
Let m(z) be the second derivative of -z**6/72 - 19*z**5/32 - 35*z**4/48 - 17*z**3 + 2*z - 256. Let p(i) be the second derivative of m(i). Factor p(t).
-5*(t + 14)*(4*t + 1)/4
Suppose -138 + 275/2*f + 1/2*f**2 = 0. What is f?
-276, 1
Suppose -3*f - 2*x = -12, 108*x - 104*x - 2 = 5*f. Suppose 14/19*b**f - 20/19*b - 2/19*b**3 + 0 = 0. What is b?
0, 2, 5
Let a be (-3)/(7 + -4)*0. Suppose 3*x + 3*d - 108 = 0, a*x = 3*x - 3*d - 90. Factor 64 - 12*z + 6*z**2 + 11*z - 2*z**2 + x*z.
4*(z + 4)**2
Let i(u) = u**4 + 8*u**3 - 13*u**2 + 4*u + 50. Let v(h) = -6*h**4 - 40*h**3 + 65*h**2 - 19*h - 275. Let k(t) = -22*i(t) - 4*v(t). Solve k(p) = 0.
0, 1, 6
Let m(y) be the third derivative of -y**5/90 - 71*y**4/9 + 95*y**3/3 + 6686*y**2. Suppose m(v) = 0. What is v?
-285, 1
Let s(p) be the first derivative of -52*p**2 + 0*p - 153 - 34*p**3 + 1/2*p**4. Determine a so that s(a) = 0.
-1, 0, 52
Let k = -656310 - -656310. Determine u, given that k*u - 7/8*u**4 + 0 + 2*u**2 + u**3 + 1/8*u**5 = 0.
-1, 0, 4
Let k = 38 - 22. Let q be k*(-13)/468 + (-8)/(-18). Factor q*x**2 + 6/7*x**4 + 0 - 8/7*x**5 + 2/7*x**3 + 0*x.
-2*x**3*(x - 1)*(4*x + 1)/7
Let d(u) be the second derivative of 0*u**4 + 0*u**3 + 0*u**2 + 1/3*u**6 + 1/4*u**5 + 0 + 5/42*u**7 + 141*u. Factor d(p).
5*p**3*(p + 1)**2
Let x(r) = 2*r**2 + 16*r + 4. Let a be x(0). Let s = -2 + 5. Determine w so that 7*w**3 + 10*w**3 - 5*w**a + w**4 - 5*w**s = 0.
0, 3
Let l = 1055 - 551. Let z = -504 + l. Factor -5/4*r**3 - 5/4*r + z - 5/2*r**2.
-5*r*(r + 1)**2/4
Let x(l) be the third derivative of 0 - 2/3*l**3 + 0*l + 1/12*l**4 - 42*l**2 - 1/240*l**6 + 1/60*l**5. Factor x(v).
-(v - 2)**2*(v + 2)/2
Let w(k) be the second derivative of -k**6/150 + 4*k**5/25 - 59*k**4/60 + 22*k**3/15 + k + 493. Factor w(j).
-j*(j - 11)*(j - 4)*(j - 1)/5
Let k(g) = -100*g**2 + 80*g - 9. Let w be (-8)/20 + 720/50. Let t(r) = 50*r**2 - 40*r + 5. Let u(a) = w*t(a) + 6*k(a). Solve u(x) = 0.
2/5
Suppose -17*i - 236 + 1256 = 0. Factor -406 - p**5 - 30*p**3 + 418 + 5*p**5 - p**5 - 45*p + i*p**2.
3*(p - 1)**4*(p + 4)
Solve 6*m**2 - 82*m**4 - 70*m**4 - 2*m**5 - 18*m**2 + 219*m**4 - 83*m**4 - 26*m**3 = 0.
-6, -1, 0
Let f(y) be the third derivative of -y**9/12096 + y**8/1344 - y**7/504 + 2*y**5/15 + y**3 + 93*y**2. Let b(w) be the third derivative of f(w). Factor b(i).
-5*i*(i - 2)*(i - 1)
Let b(q) be the second derivative of -q**5/50 + 6*q**4 - 2759*q**3/5 + 15842*q**2/5 + 1011*q. Determine s so that b(s) = 0.
2, 89
Let r(y) = -6*y**3 - 4*y**2 - 5*y - 9. Let w be r(-3). Let f = 190 - w. Suppose -4*h**4 + 20*h**3 - f*h**2 - h + 17*h + 26*h**2 = 0. Calculate h.
0, 1, 2
Let j(u) = u**3 - u**2 - u - 1. Let x be (2/(-6))/((-2)/18). Let d(i) = -i - 3*i + 236*i**x - 238*i**3 + 20. Let t(g) = d(g) + 4*j(g). Solve t(b) = 0 for b.
-2, 2
Let t(j) = 36*j + 729. Let f(l) = -10*l - 182. Let y(b) = 9*f(b) + 2*t(b). Let r be y(-10). Factor 0*h**3 + r*h**2 + 2/7*h**5 + 2/7*h**4 + 0*h + 0.
2*h**4*(h + 1)/7
Let h(f) = -3*f**2 - 29*f - 48. Let m(z) = z. Let o be (684/20 + 3)/((-6)/(-20)). Suppose y = o - 125. Let j(k) = y*h(k) - 5*m(k). Let j(c) = 0. Calculate c.
-4
Let u = 296 + -266. Suppose 4*x + 4*b - 24 = 0, -15 = -x + u*b - 34*b. Factor 0 + 2/11*a**5 + 12/11*a**x + 2/11*a + 8/11*a**4 + 8/11*a**2.
2*a*(a + 1)**4/11
Let a(u) be the second derivative of -1/6*u**4 + 11/20*u**5 - 11/12*u**3 + 1/30*u**6 + 1/2*u**2 + 0 + 32*u - 11/84*u**7. Let a(t) = 0. Calculate t.
-1, 2/11, 1
Factor 5/2*t**5 + 10 - 30*t - 15/2*t**4 - 5/2*t**3 + 55/2*t**2.
5*(t - 2)*(t - 1)**3*(t + 2)/2
Let p(r) be the second derivative of r**4/28 + 5*r**3/14 - 3*r**2 + 3093*r. Factor p(l).
3*(l - 2)*(l + 7)/7
Factor 2/7*g**2 - 228/7*g + 2266/7.
2*(g - 103)*(g - 11)/7
Let k = 638012815 - 7940069489282/12445. Let h = -3/655 - k. Factor -4/19*i**2 - 4/19 - h*i.
-2*(i + 2)*(2*i + 1)/19
Let n(w) be the third derivative of w**6/24 + 19*w**5/2 + 185*w**4/2 + 1100*w**3/3 - 1299*w**2. Solve n(f) = 0.
-110, -2
Let b be 528/(-36) - (50/15)/(-5). Let p(q) = -8*q - 110. Let o be p(b). Factor 243/5 + 3/5*l**o - 54/5*l.
3*(l - 9)**2/5
Let m(h) be the third derivative of -h**7/2415 + 2*h**6/345 - 13*h**5/690 + h**4/46 + 61*h**2 - 3. Factor m(a).
-2*a*(a - 6)*(a - 1)**2/23
Let s be (-32)/(-4112)*(-1)/8. Let l = s + 1547/5140. Determine x, given that 0 - l*x**5 - 8/5*x**2 - 2/5*x - 23/10*x**3 - 7/5*x**4 = 0.
-2, -1, -2/3, 0
Determine x, given that 1/2*x**3 - 39 - 9*x**2 + 71/2*x = 0.
2, 3, 13
Let t(a) be the second derivative of a**7/168 - a**6/12 + 9*a**5/20 - 7*a**4/6 + 4*a**3/3 + 2568*a. Factor t(l).
l*(l - 4)*(l - 2)**3/4
Let f = -1339 + 14731/11. Let d(i) be the first derivative of f*i**2 - 2/11*i - 2/33*i**3 + 3. Find b such that d(b) = 0.
1
Let n(m) be the second derivative of m**7/14 + 3*m**6 + 54*m**5 + 540*m**4 + 3240*m**3 + 11664*m**2 + 5*m - 1273. What is w in n(w) = 0?
-6
Let o(k) be the first derivative of -18*k**5/5 - 10*k**4 + 10*k**3/3 + 20*k**2 + 8*k - 6094. Solve o(p) = 0 for p.
-2, -1, -2/9, 1
Let c(i) be the first derivative of 2*i**3/27 - 5*i**2/9 - 28*i/9 - 5271. Factor c(g).
2*(g - 7)*(g + 2)/9
Suppose -19*o + 220 = -15*o. Factor 64*t**2 - o*t**2 - 7*t**3 - 10 - 9*t**3 - 32*t - 2*t**4 - 45*t**2.
-2*(t + 1)**3*(t + 5)
Let l(w) be the second derivative of -w**6/105 - 3*w**5/70 + w**4/42 + w**3/7 - 2819*w. Let l(z) = 0. What is z?
-3, -1, 0, 1
Let m = 14555003/237776 - 24279/386. Let t = 5/176 - m. What is b in -4/7*b**2 - t - 26/7*b = 0?
-6, -1/2
Factor 2/7*k**3 + 150/7 - 46/7*k**2 - 106/7*k.
2*(k - 25)*(k - 1)*(k + 3)/7
Let j be 606/(-297) + 2/9 + 170/85. Let o(x) be the first derivative of -j*x**2 + 2/33*x**3 - 16/11*x - 44. Factor o(r).
2*(r - 4)*(r + 2)/11
Let r(x) = -80*x**2 - 1070*x + 70756. Let c(j) = 174*j**2 + 2141*j - 141512. Let n(f) = 6*c(f) + 13*r(f). Let n(z) = 0. Calculate z.
133
Let h(s) be the first derivative of -24/35*s**5 - 140 + 0*s - 1/14*s**6 - 32/7*s**3 - 24/7*s**2 - 18/7*s**4. What is d in h(d) = 0?
-2, 0
Find m, given that -60*m**2 + 121*m**2 - 845 - 184*m - 666*m - 66*m**2 = 0.
-169, -1
Factor 230/9 + 2/9*p**2 + 232/9*p.
2*(p + 1)*(p + 115)/9
Suppose 0 = o + 2*o + 4*x - 163, 4*x = -o + 57. Let m = o - 51. Factor 4*i**5 + 2*i**2 + 2*i**m - 234*i - 4*i**3 + 234*i - 4*i**4.
4*i**2*(i - 1)**2*(i + 1)
Let d be 40293/1452 + (-7)/4. Let i(u) be the second derivative of -1/9*u**4 - d*u + 8/9*u**3 + 0*u**2 + 0. Find r such that i(r) = 0.
0, 4
Factor -92/9*b**2 - 5776/9 + 2/9*b**3 + 1330/9*b.
2*(b - 19)**2*(b - 8)/9
Let k(s) be the first derivative of -23/3*s - 47/6*s**2 - 25/9*s**3 - 13 - 1/12*s**4. Factor k(u).
-(u + 1)**2*(u + 23)/3
Let m = -1537180/3 + 512394. Factor -m*z**2 - 486 - 36*z.
-2*(z + 27)**2/3
Let t(p) = -4*p - 26. Let w(d) = -2*d - 13. Let m(h) = 6*t(h) - 13*w(h). Let v be m(-4). Factor -67*b**4 - 6*b**2 + 3*b**2 + b**v - 5*b**3 + 66*b**4.
b**2*(b - 3)*(b + 1)**2
Let m(j) be the first derivative of -j**6/30 - 4*j**5/25 + j**4/4 - 58. Suppose m(f) = 0. Calculate f.
-5, 0, 1
Let c be ((-494775)/(-70))/27 - 2/7. Let q = -259 + c. Let 0*y + 2*y**4 + 1/2*y**5 + q*y**3 + 0 + y**2 = 0. What is y?
-2, -1, 0
Let n = 35 - 27. Suppose 4*t - n*t = -3*b +