 29*y**5/60 + 65*y**4/4 - 136*y**3/3 - 608*y**2. What is g in b(g) = 0?
-8, 2/3, 17
Let j(v) be the second derivative of -2*v**6/15 - 39*v**5/5 - 69*v**4 - 198*v**3 + 2929*v. Factor j(t).
-4*t*(t + 3)**2*(t + 33)
Let y = 6151445/9 + -682818. Let o = -675 + y. Determine b, given that 1/9*b**4 + 0*b + o*b**3 - 1/9*b**5 + 0 - 4/3*b**2 = 0.
-3, 0, 2
Suppose 0 = -w - 0. Suppose -b = -w*b - 4. Suppose -b*o**2 - 16*o - 5*o + 37*o = 0. What is o?
0, 4
Let q(k) be the third derivative of k**7/105 + k**6/4 + 53*k**5/30 - 5*k**4/4 - 18*k**3 - 3*k**2 + 99*k - 1. Suppose q(a) = 0. Calculate a.
-9, -6, -1, 1
Let h = -252069 + 2772835/11. Factor 8*p + h*p**2 + 18/11*p**3 + 16/11.
2*(p + 2)**2*(9*p + 2)/11
Suppose -55*f + 36 + 74 = 0. Let o(a) be the third derivative of 5/12*a**4 + 42*a**f - 1/24*a**5 - 1/12*a**6 + 5/12*a**3 + 0 + 0*a. Factor o(x).
-5*(x - 1)*(x + 1)*(4*x + 1)/2
Factor -4 - 16/9*b**2 - 2/9*b**3 - 14/3*b.
-2*(b + 2)*(b + 3)**2/9
Let r(n) = -n**2 + 304*n - 13693. Let o be r(55). Suppose -45/2*b**5 - 8 - 416/3*b**o - 160/3*b - 207/2*b**4 - 174*b**3 = 0. What is b?
-2, -2/3, -3/5
Suppose 4*t + 57 = 3*s + 2*t, -2*s - 4*t = -22. Let p(z) be the first derivative of -5/8*z**3 + 9/8*z**2 - 3/8*z - s. What is n in p(n) = 0?
1/5, 1
Let f(n) = 13*n**3 - 2*n**2 - 5*n. Suppose 56*z + 30 = 50*z. Let h(g) = -11*g**3 + 2*g**2 + 4*g. Let c(m) = z*f(m) - 6*h(m). Factor c(i).
i*(i - 1)**2
Let l = 1497 - 1442. Suppose -79*j - l = -90*j. Determine h, given that 0 - 1/4*h**4 - 1/8*h + 0*h**3 + 1/8*h**j + 1/4*h**2 = 0.
-1, 0, 1
Let h = 30476653/749 + 14391/107. Determine q, given that 137842/7 - h*q + 158260/7*q**2 - 10580/7*q**3 - 2/7*q**5 + 250/7*q**4 = 0.
1, 41
Let d be (-1 + 2)*(-63)/(-9). Suppose 5*p - p - 4*z - 8 = 0, 4*z - d = p. Solve -160*m**2 - 160*m**3 - 21*m**4 - 50*m**4 - 5*m**p + 21*m**4 = 0.
-4, -2, 0
Let a = 2510/19 - 32440/247. Let -2/13*l**2 + 8/13*l + a = 0. Calculate l.
-1, 5
Let c(a) = 3*a**5 + a**4 - a**3 + 3*a**2 - 2*a - 2. Let p(d) = -15*d**5 - 27*d**4 + 39*d**3 - 33*d**2 + 12*d + 12. Let i(y) = -6*c(y) - p(y). Factor i(h).
-3*h**2*(h - 5)*(h - 1)**2
Suppose 9*l = -l. Suppose -4*o - 50 + l = 5*g, -5*o - 4*g - 58 = 0. Let v(b) = -b**2 - 4*b - 8. Let z(i) = -i**2 - i. Let w(d) = o*z(d) + 5*v(d). Factor w(j).
5*(j - 4)*(j + 2)
Let 132/17 - 2*i + 2/17*i**2 = 0. What is i?
6, 11
Let o(f) be the third derivative of -f**2 + 1/660*f**6 + 2/33*f**3 - 9*f - 1/2310*f**7 + 0 - 1/33*f**4 + 1/220*f**5. Let o(p) = 0. What is p?
-2, 1, 2
Determine u so that -42 + 83/3*u**2 - 1/3*u**4 + 17/3*u**3 + 9*u = 0.
-3, -2, 1, 21
Suppose -44*l = 3*l + 6*l. Let f(a) be the first derivative of -2/7*a**2 + 1/3*a**3 + 19 + l*a. Determine i, given that f(i) = 0.
0, 4/7
Let v(s) be the third derivative of 0 - 51*s**2 + 0*s - 1/15*s**5 - 2*s**4 + 0*s**3. Let v(c) = 0. What is c?
-12, 0
Let d(t) = -t**4 - 12*t**3 + 9*t**2 + 8*t + 12. Let r(i) = -i**3 + 6*i**2 - 1. Let a(s) = 3*d(s) - 12*r(s). Factor a(j).
-3*(j - 1)*(j + 1)*(j + 4)**2
Factor -289/4*t**2 - 441 - 357*t.
-(17*t + 42)**2/4
Let u(d) be the third derivative of 1/3*d**4 + 1/30*d**5 + d**3 - 2*d**2 + 0*d + 1. Factor u(s).
2*(s + 1)*(s + 3)
Let j = -20 - -22. Let i be (-40)/(-14)*(3 + j/4). Factor -63*k + 5 - 3*k**2 - 2*k**2 + i + 17*k**2.
3*(k - 5)*(4*k - 1)
Find d such that -80/7*d + 2*d**2 - 24/7 = 0.
-2/7, 6
Let o(b) be the third derivative of -b**6/120 - 47*b**5/30 - 88*b**4/3 - 688*b**3/3 - 37*b**2. Factor o(m).
-(m + 4)**2*(m + 86)
Let m be (18/250)/(1293/10775). Factor 5043/5 - 246/5*s + m*s**2.
3*(s - 41)**2/5
Let u(v) be the third derivative of 0*v - 1/2*v**6 + 0*v**3 + 0 + 32/15*v**5 - 6/35*v**7 + 151*v**2 - 2*v**4. Factor u(w).
-4*w*(w + 3)*(3*w - 2)**2
Let y(a) = 3*a - 21. Let w be y(9). Suppose 2*t - w*t + 2*p = -190, 47 = t - p. Let 22*f**3 - t + 8*f**2 - 49 - 6*f**4 + 97 = 0. What is f?
-1/3, 0, 4
Let c = -128/835 + 27872/7515. Solve 2/9*o**2 + c + 16/9*o = 0.
-4
Let a(s) be the second derivative of -s**4/12 - 176*s**3/3 - 15488*s**2 + 3*s - 49. Factor a(u).
-(u + 176)**2
Let l(z) be the first derivative of 10*z**2 + 42*z + 2/3*z**3 - 72. Factor l(y).
2*(y + 3)*(y + 7)
Let j = -1/2 + 7. Let k = -28598 - -28600. Factor -k - 3/2*p**2 - j*p.
-(p + 4)*(3*p + 1)/2
Determine l so that -1/4*l**2 - 51/4*l + 135 = 0.
-60, 9
Let 301/5*d - 598/5 - 1/5*d**2 = 0. What is d?
2, 299
Let z(j) be the third derivative of 9/140*j**5 + 0*j**3 + 2*j + 5/28*j**4 + 20*j**2 - 1/280*j**6 + 0. Determine r so that z(r) = 0.
-1, 0, 10
Let v(y) be the second derivative of -y**6/15 - 169*y**5/10 - 138*y**4 - 1316*y**3/3 - 656*y**2 - 1282*y. Solve v(g) = 0.
-164, -2, -1
Let f(y) be the first derivative of 50*y**6/3 - 52*y**5 - 95*y**4/4 + 310*y**3/3 + 110*y**2 + 40*y + 5312. Find h such that f(h) = 0.
-1/2, -2/5, 2
Let z(y) be the second derivative of -y**8/8960 + y**7/1120 + y**6/96 + 5*y**4 - 32*y. Let d(v) be the third derivative of z(v). Suppose d(m) = 0. What is m?
-2, 0, 5
Let t(s) be the first derivative of s**3 - 615*s**2/2 + 2412*s - 3617. Determine y so that t(y) = 0.
4, 201
Suppose 274*a - 1665 = -281*a. Factor 0 + 0*j - j**4 - j**a - 1/3*j**5 - 1/3*j**2.
-j**2*(j + 1)**3/3
Let c(s) be the first derivative of -s**7/525 - s**6/50 + 2*s**5/15 + 2*s**4/5 + 8*s**3/3 + 5. Let y(j) be the third derivative of c(j). Solve y(p) = 0.
-6, -1/2, 2
Let y(s) be the third derivative of -8/9*s**4 + 0 + 0*s + 1/45*s**5 + 10/3*s**3 - 8*s**2. Let y(x) = 0. Calculate x.
1, 15
Suppose 0 = -2*s - p - 4, -801*s + 798*s = -p - 14. Factor 3*y - 3*y**3 - 2/3 + 2/3*y**s.
-(y - 1)*(y + 1)*(9*y - 2)/3
Let p(c) be the third derivative of -c**5/150 - 37*c**4/4 + 1902*c**2 + 2*c + 1. Find f such that p(f) = 0.
-555, 0
Let h(m) be the third derivative of 102*m**2 + 0*m + 1/390*m**5 + 5/13*m**3 + 0 + 2/39*m**4. Factor h(f).
2*(f + 3)*(f + 5)/13
Suppose 37 + 26 = 21*r. Factor 8*p**4 - 6*p**4 + 28*p**4 - 78*p**3 + 5*p**5 + 40*p**2 + 3*p**r.
5*p**2*(p - 1)**2*(p + 8)
Suppose -50 = 33*d - 43*d. Suppose 3*t + 2*f - 19 = -0*f, 2*f + 16 = 4*t. What is l in -d*l**2 + 5*l**3 + 2 - 5*l - 2 + t = 0?
-1, 1
Let b(h) be the first derivative of 10*h**5/7 + 1815*h**4/7 - 5854*h**3/21 - 1020*h**2/7 + 584*h/7 - 4485. Determine i, given that b(i) = 0.
-146, -2/5, 1/5, 1
Let n(y) be the second derivative of 3*y**5/70 + 122*y**4/21 + 79*y**3/21 - 162*y**2/7 - 684*y. Find b such that n(b) = 0.
-81, -1, 2/3
Let q be (-10640)/15675 - 2*(-2)/5. Let x(i) be the second derivative of -1/66*i**4 + 0 + 0*i**2 - q*i**3 + 18*i. Factor x(l).
-2*l*(l + 4)/11
Let r(o) = -27*o**4 - 267*o**3 - 630*o**2 + 48*o + 888. Let p(t) = -11*t**4 - 107*t**3 - 252*t**2 + 19*t + 356. Let z(l) = -12*p(l) + 5*r(l). Factor z(v).
-3*(v - 1)*(v + 2)**2*(v + 14)
Factor 0 + 5*s - 150*s**3 - 95/2*s**2.
-5*s*(5*s + 2)*(12*s - 1)/2
Let j be 1320/(-275)*(-40)/18. Factor -16/3*v**4 + 0*v - j*v**5 + 6*v**2 + 10*v**3 + 0.
-2*v**2*(v - 1)*(4*v + 3)**2/3
Let q be ((-34)/10 + -1)/((-2)/10). Let h = 24 - q. Let 768*v**3 - 51*v**4 - 136*v + 96*v**h - 8*v - 717*v**4 - 27 = 0. Calculate v.
-1/4, 3/4
Let v be 4/30*(-12)/(-4). Let u = 14631 - 14629. Factor 0 - 6/5*g**u + 4/5*g + v*g**3.
2*g*(g - 2)*(g - 1)/5
Let z(q) be the first derivative of 2883*q**2 + 62*q**3 + 59582*q - 113 + 1/2*q**4. Factor z(d).
2*(d + 31)**3
Suppose -13*v + 409 + 241 = 0. Let f be 158/395*3/(72/v). Factor -1/2*i - f*i**2 + 1/3.
-(i + 1)*(5*i - 2)/6
Let z = -248322 - -248324. Suppose -3 - 9/2*v**4 + 15/2*v - 15/2*v**3 + 15/2*v**z = 0. Calculate v.
-2, -1, 1/3, 1
Let -104/11 - 2/11*k + 104/11*k**2 + 2/11*k**3 = 0. Calculate k.
-52, -1, 1
Let u(n) = -10*n**2 + 43*n + 77. Let b(h) = -102 - 15*h**2 - 59*h + 24 + 17*h + 24*h**2. Let i(a) = -7*b(a) - 6*u(a). Factor i(g).
-3*(g - 14)*(g + 2)
Determine c, given that 18/7*c**2 - 36 - 3/7*c**3 + 57/7*c = 0.
-4, 3, 7
Determine l, given that 7908/7 + 7916/7*l**2 + 2260*l + 4/7*l**3 = 0.
-1977, -1
Factor -2/15*l**2 - 178/3*l - 296/5.
-2*(l + 1)*(l + 444)/15
Let p(i) be the second derivative of 13*i**4/4 - 83*i**3/2 + 105*i**2 - 3757*i. Find u such that p(u) = 0.
1, 70/13
Suppose -3 - 7 = -5*s. Suppose 0 = -4*z + 2*p - 2, 2*p - 8 = s. Factor -3 + 2*a**2 - z*a - 5 + 1 + 3.
2*(a - 2)*(a + 1)
Let d(c) = c**2 - c - 1. Let n(m) = -3. Let q be 5/((-20)/3)*4. Let w = 61 + -60. Let s(x) = q*d(x) + w*n(x). Factor s(k).
