 - 3 = -28. Solve -64*v + 21*v + 27*v + 2*v**2 + 40 + h*v = 0.
-10, -2
Let l(o) = o**4 + 758*o**3 - 735*o**2 + 8*o. Let b(i) = 2*i**4 + 757*i**3 - 729*i**2 + 10*i. Let z(f) = -4*b(f) + 5*l(f). Let z(w) = 0. What is w?
0, 1, 253
Let w = 895583 + -895583. Factor 2/11*i**2 + w - 10/11*i.
2*i*(i - 5)/11
Let f(k) be the third derivative of -k**6/120 - 61*k**5/60 - 119*k**4/24 - 59*k**3/6 - 76*k**2 - 8*k. Factor f(v).
-(v + 1)**2*(v + 59)
Suppose 53*d = 16387 + 20872. Suppose d*n - 12 = 701*n. Determine y so that 10/7*y**2 + 0 + 4/7*y - 10/7*y**5 + 38/7*y**4 - n*y**3 = 0.
-1/5, 0, 1, 2
Let y(w) be the third derivative of 0*w - 1/45*w**6 + 1/315*w**7 + 69*w**2 + 0 + 0*w**4 + 2/45*w**5 + 0*w**3. Factor y(u).
2*u**2*(u - 2)**2/3
Let u(d) be the second derivative of -d + 2 - 4/75*d**6 + 1/25*d**5 + 1/30*d**3 - 1/5*d**2 + 1/6*d**4 - 1/42*d**7. Suppose u(m) = 0. Calculate m.
-1, 2/5, 1
Let z(o) be the third derivative of 1/420*o**7 - 1/40*o**5 - 1/120*o**6 + 0 + 1/3*o**3 + 0*o + 1/12*o**4 + 134*o**2. Factor z(n).
(n - 2)**2*(n + 1)**2/2
Let y = -297084/5 + 59417. Find p such that 0*p - y*p**3 + 0 - 4/5*p**2 = 0.
-4, 0
Let c = 86/19 - 325/76. Suppose 33*b = 29*b + 20. Factor -1/2*s**3 + 0 + 0*s**4 + 0*s**2 + c*s + 1/4*s**b.
s*(s - 1)**2*(s + 1)**2/4
Suppose -24 = -4*l + 4*k, 4*l + 3*k = -k. Suppose 4*w + l*w - 14 = 0. Suppose 1 - 3 + 82 + 5*j**w + 40*j = 0. What is j?
-4
Let o(w) be the first derivative of -w**3/27 - 19*w**2/18 - 16*w/3 - 2410. Factor o(d).
-(d + 3)*(d + 16)/9
Let x(g) = 5*g**3 + 50*g**2 + 44*g - 1282. Let p(c) = 3*c**3 + 33*c**2 + 36*c - 855. Let z(w) = -14*p(w) + 9*x(w). Determine t so that z(t) = 0.
-6, 4, 6
Solve 0 - 1/9*z**5 - 29/3*z - 206/9*z**2 - 34/9*z**4 - 152/9*z**3 = 0.
-29, -3, -1, 0
Let j be (-27)/12 - (-1443)/(-148). Let g be (-3)/9 + (-22)/j. Determine v so that g*v + 1 - 3/2*v**2 - v**3 = 0.
-2, -1/2, 1
Suppose 1/6*n**3 + 0 - 28*n + 167/6*n**2 = 0. What is n?
-168, 0, 1
Suppose -u + 3*v = -11, v + 131 = 5*u + 5*v. Factor u*s**3 + 60*s**2 + 17*s**3 + 4*s**4 + 25*s + s**4 - 5*s**2 - 5*s**3.
5*s*(s + 1)**2*(s + 5)
Let p(f) be the second derivative of f**6/2700 + 7*f**5/450 + 49*f**4/180 + 8*f**3/3 - f**2/2 - 96*f. Let g(q) be the second derivative of p(q). Factor g(h).
2*(h + 7)**2/15
Let p(h) be the first derivative of -h**6/2 + 54*h**5/5 + 267*h**4/4 - 18*h**3 - 132*h**2 - 2672. Suppose p(v) = 0. Calculate v.
-4, -1, 0, 1, 22
Let b(i) be the third derivative of 0*i + 0 - 2*i**3 + 7/24*i**4 - 1/60*i**5 - 129*i**2. Factor b(q).
-(q - 4)*(q - 3)
Let j(f) = -f**2 + 26*f + 2. Let v be j(26). Suppose z = -v*a + 397, 0*a = -a + 5*z + 171. Solve -u**3 + 201*u - 4*u**3 - 15 - a*u + 15*u**2 = 0.
-1, 1, 3
Factor 2/13*a**2 + 249218/13 + 1412/13*a.
2*(a + 353)**2/13
Factor -g**2 - 13072 + 4195 - 11785 - 193*g - 13194 - 175*g.
-(g + 184)**2
Let d be (52 + 51880/(-1000))/((-31)/(-15) - 2). Let m be -2 + 4 + 0 - 2. Solve 16/5*n**3 + d*n**4 - 4/5*n**2 + 0*n + m = 0 for n.
-2, 0, 2/9
Let i(t) = -t**3 + 3*t**2 + 2*t + 4. Let g be i(0). Let 2*l**3 - 7*l**g - l**3 + 23*l**3 + 4*l**4 = 0. Calculate l.
0, 8
Let s = -390 + 391. Let j(y) = -y**3 - 99*y - 106. Let c(a) = -a**3 + a - 1. Let h(u) = s*j(u) - 6*c(u). Let h(b) = 0. Calculate b.
-4, -1, 5
Let 121*u**2 + 157*u + 49874 + 188*u**2 + u**3 - 50807 - 782*u = 0. What is u?
-311, -1, 3
Suppose 2*y = 44 - 34. Let q(z) be the second derivative of 0 + 5/9*z**3 + 1/30*z**y + 2*z - 2/3*z**2 - 2/9*z**4. Solve q(x) = 0.
1, 2
Let y(w) be the third derivative of -w**6/200 + w**5/10 - 17*w**4/40 + 4*w**3/5 - 546*w**2. Factor y(b).
-3*(b - 8)*(b - 1)**2/5
Let a(p) = 353*p + 2118. Let b be a(-6). Let s(t) be the second derivative of b + 1/3*t**4 + 0*t**2 + 2/3*t**3 - 25*t. Find o such that s(o) = 0.
-1, 0
Let 1/3*j**2 + 12*j - 37/3 = 0. What is j?
-37, 1
Let p(v) be the third derivative of v**7/2520 + v**6/45 + v**5/2 + 50*v**4/9 + 53*v**3/3 + v**2 - 32*v. Let t(f) be the first derivative of p(f). Factor t(h).
(h + 4)*(h + 10)**2/3
Let k be 0/(7 - 0/(-5)). Let v be -1 + (0 + k - -1). Solve v*r + 14/9*r**3 + 0 + 2/9*r**2 + 8/3*r**4 = 0 for r.
-1/3, -1/4, 0
Let q(n) be the first derivative of 961*n**3/2 + 155*n**2/2 + 25*n/6 + 915. Let q(b) = 0. What is b?
-5/93
Suppose -90/13*t + 22/13*t**4 - 252/13 - 230/13*t**3 + 550/13*t**2 = 0. Calculate t.
-6/11, 1, 3, 7
Suppose 0 = -23*o + 38*o - 10*o. Let h(t) be the second derivative of 13*t + 0 + o*t**4 + 1/25*t**5 - 2/15*t**3 + 0*t**2. Solve h(c) = 0 for c.
-1, 0, 1
Let d(c) be the third derivative of -c**6/360 - 427*c**5/45 - 43*c**2 + 4. Factor d(x).
-x**2*(x + 1708)/3
Factor 2/11*o**2 + 70 + 772/11*o.
2*(o + 1)*(o + 385)/11
Suppose -311*v + 302 = 1238*v - 4345. Factor -4/3 - 4/3*d + 1/3*d**v + 1/3*d**2.
(d - 2)*(d + 1)*(d + 2)/3
Let c(s) = 4*s + 4. Let l be c(0). What is r in -20*r**2 + 1 + 1 + 116*r + 24*r**3 - 164*r - l*r**4 - 2 = 0?
-1, 0, 3, 4
Let a(x) = 3*x**2 - 14*x - 23. Let i be a(-2). Factor 23*v - 30*v**2 - i*v - 2*v.
-2*v*(15*v - 2)
Let s be 1/(-2) - (66758/12180 + -6). Let n(d) be the third derivative of 0*d + s*d**7 - 1/6*d**6 + 0*d**3 + 50*d**2 + 0 - 2/3*d**4 + 8/15*d**5. Factor n(l).
4*l*(l - 2)**2*(l - 1)
Suppose 0 = -10*v - 405 + 1555. Suppose -v*w + 16 = -107*w. Factor -12/5*y - 3/5*y**w - 9/5.
-3*(y + 1)*(y + 3)/5
Suppose -4*f = -5*f + 4. Suppose -f*o = 3*s + 2 - 1, 2*o = 2*s + 10. Factor -4*j - 8 - 1/2*j**o.
-(j + 4)**2/2
Let w(t) = -4*t**4 - 2*t**3 - t**2 + 2*t - 1. Let x(k) = 9*k**4 + 11*k**3 - 15*k**2 + 5*k + 2. Let d(l) = -6*w(l) - 3*x(l). Factor d(h).
-3*h*(h - 1)**2*(h + 9)
Factor 8450 - 1949/2*s**2 + 63245*s + 15/4*s**3.
(s - 130)**2*(15*s + 2)/4
Suppose -187*y + 188*y - 4 = 0. Solve 40*z**3 + 0*z**5 + 5*z**5 + 10*z**2 + 7*z**y - 32*z**4 - 30*z**2 = 0 for z.
0, 1, 2
Let s = -35 - -39. Suppose 0 = a - s*r - 8, -a = -r - r - 6. Factor a*f**3 - 4*f**3 - 2*f**2 + 4*f - 2*f**3 + 2*f**4 - 2*f.
2*f*(f - 1)**2*(f + 1)
Find t such that 116*t**2 + 2/5*t**5 + 212/5*t**3 + 50 + 130*t + 34/5*t**4 = 0.
-5, -1
Let w = 169 + -164. Factor 35*b - 3*b**2 + w - 7 + 23*b**2 - 53.
5*(b - 1)*(4*b + 11)
Let g(h) be the first derivative of 160*h + 400/3*h**3 + 10*h**5 - 50*h**4 - 200*h**2 + 93 - 5/6*h**6. Determine i, given that g(i) = 0.
2
Let v be (4/4)/((-4)/68). Let g = v + 22. Factor 10*m - 8*m**4 - 6*m**3 + 16*m**2 - 6*m**3 + 2*m**5 + 6*m + 2*m**g.
4*m*(m - 2)**2*(m + 1)**2
Suppose 1546/13*p - 1544/13 - 2/13*p**2 = 0. Calculate p.
1, 772
Let h(k) be the second derivative of -k**4/36 - 23*k**3/9 - 44*k**2/3 + 165*k. Factor h(g).
-(g + 2)*(g + 44)/3
Let w(k) be the third derivative of k**7/105 + k**6/10 - 13*k**5/30 - 11*k**4/2 + 24*k**3 - 883*k**2. Find u, given that w(u) = 0.
-6, -4, 1, 3
Suppose 21664*d = 22004*d - 1360. Factor d*f - 10 + 1/2*f**2.
(f - 2)*(f + 10)/2
Let o(k) be the first derivative of 2*k**3/39 - 7*k**2/13 - 196*k/13 - 600. What is a in o(a) = 0?
-7, 14
Let d = 5401 - 5299. Let r(y) be the first derivative of -32*y**2 - 36*y**5 + 16 - 68/3*y**3 + 16*y + d*y**4. Determine n, given that r(n) = 0.
-2/5, 1/3, 2
Factor 28 + 19*d**2 + 103701*d**3 - 54*d - 103699*d**3 + 5*d**2.
2*(d - 1)**2*(d + 14)
Let p(h) be the third derivative of h**7/490 + 46*h**6/35 - 369*h**5/140 - 2849*h**2. Factor p(x).
3*x**2*(x - 1)*(x + 369)/7
Suppose -3*p = 24*o - 26*o + 4, 0 = -p + 13*o - 63. Solve 1/4*x**p + 25/2*x + 625/4 = 0.
-25
Let m = 3 - 1. Let n be (16/(-24))/(m/(-9)). Factor -4*g - 26*g**2 + 2*g**n + 22*g**2 + 2*g**3 + 0*g**3 + 4.
4*(g - 1)**2*(g + 1)
Factor 1/5*a + 136/5*a**2 + 0 + 27*a**3.
a*(a + 1)*(135*a + 1)/5
Let t(p) = 12*p + 2. Let z be t(-4). Let n = z + 50. Let -5*d**2 + 10*d**3 + 12*d**4 - n*d**4 - 6*d**4 - 7*d**4 = 0. Calculate d.
0, 1
Let b(w) be the second derivative of -2*w**7/21 + 26*w**6/3 + 133*w**5/5 + 67*w**4/3 - 73*w - 7. Find h, given that b(h) = 0.
-1, 0, 67
Let h be (24*(-13)/416)/(9/(-36)). What is r in -3/7*r**h + 0*r + 6/7*r**2 + 0 = 0?
0, 2
Factor -1/4*c**3 + 15/2*c**2 - 273/4*c + 169.
-(c - 13)**2*(c - 4)/4
What is v in -2*v**3 - 6/5*v**2 + 8/5 + 2*v - 2/5*v**4 = 0?
-4, -1, 1
Let o(d) be the first derivative of -d**4/4 - d + 59. Let c(x) = -2*x**4 - 18*x**3 + 4*x - 12. Let u(g) = 2*c(g) - 28*o(g). Factor u(y).
-4*(y - 1)*(y + 1)**3
Let h(v) = 3*v**2 - 45*v - 106. Let i(q) = 2*q**2 - 20*q - 54. Let p(c) = 3*h(c) - 7*i(c).