229*v - 21. Let z be d(-23). Let h(r) be the second derivative of 1/5*r**5 + 6*r**3 - z*r**4 - 8*r**2 + 12*r + 0. Factor h(o).
4*(o - 4)*(o - 1)**2
Suppose -2616*c = -84077 - 88910 - 40357 - 87496. Find h, given that -379/2*h**3 - 25/2*h**5 + 94*h + c*h**4 - 35*h**2 + 28 = 0.
-2/5, 1, 2, 7
Suppose 0 = -5*a - 2*v + 9, 5*a = 59*v - 64*v. Let g(n) be the second derivative of 13*n - a*n**2 + 7/2*n**3 - 5/4*n**4 + 0. Factor g(l).
-3*(l - 1)*(5*l - 2)
Let p(w) be the first derivative of 28 + 9/16*w**4 - 384*w - 49/2*w**3 + 312*w**2. Determine t so that p(t) = 0.
2/3, 16
What is n in -7562500/3 + 5500/3*n - 1/3*n**2 = 0?
2750
Suppose -y - 32 = 3*d - 0*d, -2*d = -2*y + 16. Let g be (-1)/((-18)/4 + d/20). Factor 0*q + 3/5*q**3 + g*q**2 + 3/5*q**4 + 0 + 1/5*q**5.
q**2*(q + 1)**3/5
Let p(r) be the third derivative of 0 - 13/8*r**4 + 1/40*r**6 - 15/2*r**3 + 59*r**2 - r + 3/20*r**5. Factor p(v).
3*(v - 3)*(v + 1)*(v + 5)
Let t(z) be the second derivative of 5*z**7/42 + 13*z**6/20 + 13*z**5/20 - 43*z**4/24 - 3*z**3 + z**2 - 1908*z. Let t(d) = 0. What is d?
-2, -1, 1/10, 1
Let v(q) be the first derivative of -3/10*q**5 - 162*q**2 + 45/2*q**3 - 648*q + 87/8*q**4 + 80 - 1/4*q**6. Let v(r) = 0. Calculate r.
-3, 4
Let l = -173635/4 - -43414. Factor -3/4*m**2 + 6 + l*m.
-3*(m - 8)*(m + 1)/4
Let f(n) = -2*n**2 - 28*n + 3. Let b be f(-14). Factor -198*m + 225*m**3 + 227*m**3 + 242 - 454*m**b - 42*m**2.
-2*(m - 1)*(m + 11)**2
Determine y so that -2*y**2 + 187*y - 1636*y - 745 + 187*y - 442*y + 4161 = 0.
-854, 2
Let j = 66 - 41. Let d be 670/j - (-1)/5. Determine q, given that 27*q**3 - 15*q**5 - 328*q - 3*q**2 + 316*q + d*q**2 - 24*q**4 = 0.
-2, -1, 0, 2/5, 1
Suppose 119*b - 112*b = 42. Let -120 + b*x**2 - 4*x**2 - 16*x + 258 - 124 = 0. Calculate x.
1, 7
Let r(g) be the first derivative of -g**3/2 - 375*g**2/2 + 862. Factor r(v).
-3*v*(v + 250)/2
Suppose 5*d + 8*d = 281 - 21. Suppose -3*v + 109 = 4*k, 2*k + 33 = 3*v - 2*v. Solve -25 - 2*i**2 - v + 10 - d*i = 0 for i.
-5
Let s(q) = -q - 2. Let p(m) = -m**2 + 4*m + 1. Let x(f) = -p(f) - s(f). Let u(k) = k**3 + 7*k**2 - 12*k - 13. Let b(d) = -u(d) + x(d). Factor b(h).
-(h - 2)*(h + 1)*(h + 7)
Let d = 6/14719 - -14683/88314. Let -1/2 + 1/6*z**3 + 1/2*z**2 - d*z = 0. Calculate z.
-3, -1, 1
Let s(y) be the third derivative of -y**7/70 + y**6/10 + y**5/5 - 2*y**4 + y**2 - 2*y - 121. Let s(d) = 0. What is d?
-2, 0, 2, 4
Let x(u) be the second derivative of u**5/90 - 23*u**4/54 + 127*u**3/27 - 35*u**2/3 - 347*u - 1. Factor x(p).
2*(p - 15)*(p - 7)*(p - 1)/9
Let h(j) be the third derivative of -j**7/140 + 11*j**6/80 - 3*j**5/8 - 27*j**4/16 + 34*j**2 + 21. Let h(z) = 0. What is z?
-1, 0, 3, 9
Let x(o) be the first derivative of -32*o + 2/3*o**3 + 6*o**2 + 23. Factor x(a).
2*(a - 2)*(a + 8)
Let u(v) be the first derivative of 12*v**4 + 64 + 0*v**2 - 21/5*v**5 - 4*v**3 + 0*v. Suppose u(c) = 0. What is c?
0, 2/7, 2
Let u(n) be the first derivative of n**4/3 + 616*n**3/9 - 2*n**2/3 - 616*n/3 + 216. Factor u(c).
4*(c - 1)*(c + 1)*(c + 154)/3
Let y = 512/9429 + -3/449. Let b(r) be the second derivative of -y*r**3 + 0*r**2 + 0 + 12*r - 1/42*r**4. Factor b(z).
-2*z*(z + 1)/7
Let i(p) = -4*p**2 - 337*p - 736. Let u be i(-82). Determine y so that 7/4 + 1/4*y - 7/4*y**u - 1/4*y**3 = 0.
-7, -1, 1
What is p in -17/5*p**2 + 32/5*p - 3/5*p**4 + 4 - 32/5*p**3 = 0?
-10, -1, -2/3, 1
Let a = -3721 - -3721. Let w(z) be the first derivative of 8/9*z**3 - 1/3*z**2 + a*z - z**4 - 1/9*z**6 + 13 + 8/15*z**5. Factor w(v).
-2*v*(v - 1)**4/3
Let g(u) be the second derivative of -32/25*u**5 + 0 - 6/25*u**6 - 56/15*u**4 - 182*u - 32/5*u**2 - 2/105*u**7 - 32/5*u**3. Suppose g(i) = 0. Calculate i.
-2, -1
Let j(n) be the third derivative of 0 + 5/6*n**3 - 13/16*n**4 + 7/15*n**5 + 1/672*n**8 + 1/70*n**7 - 17/120*n**6 + n - 7*n**2. Factor j(g).
(g - 1)**4*(g + 10)/2
Let f(w) be the second derivative of 51*w**4/4 + 4*w**3 - 643*w - 2. Solve f(s) = 0.
-8/51, 0
Let t be (76/(-12) - -2 - -2)*216/(-252). Determine l so that 1/3*l**5 + 2*l**t - 5/3*l - 2*l**4 + 0 + 4/3*l**3 = 0.
-1, 0, 1, 5
Let m(j) be the first derivative of 11/2*j**2 - 36 + 1/3*j**3 + 0*j. Factor m(a).
a*(a + 11)
Solve 633677223203042/11 + 213599532/11*s**2 + 33752/11*s**3 + 2/11*s**4 + 600784283672/11*s = 0.
-4219
Let u be ((-1)/(8/10))/((-2251)/13506). Factor 9/2*z**3 - 9/2*z - u*z**2 + 3/2*z**4 + 6.
3*(z - 1)**2*(z + 1)*(z + 4)/2
Suppose 13*n = 42 + 23. Factor -286*f**4 - 218*f**4 + 436*f**3 + 91*f**n - 144*f**2 + 0*f + 105*f**5 + 16*f.
4*f*(f - 1)**2*(7*f - 2)**2
Let a be ((-7)/(-3) + (-6)/(-9))/7. Let r be 6/14 - 80/280. Factor a*d**2 + 3/7*d + 1/7*d**3 + r.
(d + 1)**3/7
Let q(v) be the first derivative of -v**4/6 + 10*v**3/3 + 34*v**2/3 + 948. Factor q(i).
-2*i*(i - 17)*(i + 2)/3
Suppose 117752*h = 117465*h. Factor h - 24/7*o - 2/7*o**2 + 2/7*o**3.
2*o*(o - 4)*(o + 3)/7
Let m = -413 - -429. Let 10 + m*j + 5*j - 5*j - 9 + j**2 + 27 = 0. Calculate j.
-14, -2
Let k(o) be the second derivative of -o**4/132 + 238*o**3/33 - 28322*o**2/11 - 2510*o. Find v, given that k(v) = 0.
238
Suppose 13348 + 20444 = 256*a. Let -a*v + 87 + 9/4*v**2 = 0. What is v?
2/3, 58
Let i be ((-16)/12)/((-15)/27)*(41 + (-4004)/99). Find g such that -4/3*g**2 + 8 - i*g = 0.
-3, 2
Let a be (-33)/(-6) + (-5)/(-2). Let v be (4/a)/(2/88). Factor 5*i**3 + 1215*i + 2618 + 1027 + 40*i**2 + 73*i**2 + v*i**2.
5*(i + 9)**3
Suppose 0 = 24138*n - 24139*n + w - 12, -11*n + 2*w + 66 = 0. Factor 10 + 5/2*k**2 + n*k.
5*(k + 2)**2/2
Let a = 657 + -4597/7. Factor -450/7 - a*r**2 - 60/7*r.
-2*(r + 15)**2/7
Let p = -41 - 139. Let o = -123 - p. Factor n - 54*n**2 + 2*n + o*n**2.
3*n*(n + 1)
Let a(t) = 4*t**3 + 49*t**2 + 114*t + 89. Let n(s) = -3*s - 353 + 143 - 2*s**3 + 166 - 55*s - 24*s**2. Let w(d) = -2*a(d) - 5*n(d). Factor w(r).
2*(r + 1)*(r + 3)*(r + 7)
Determine i, given that 1/4*i**4 + 99*i**2 - 21/2*i**3 + 0 + 242*i = 0.
-2, 0, 22
Let c(d) be the second derivative of -2*d**7/273 + 3*d**6/65 - 7*d**5/65 + 3*d**4/26 - 2*d**3/39 - 2*d - 53. Find r such that c(r) = 0.
0, 1/2, 1, 2
Let r(h) = -h**2 + 310*h + 8. Let v(n) = 12*n**2 - 4044*n - 108. Let z(y) = -27*r(y) - 2*v(y). Factor z(d).
3*d*(d - 94)
Let v(f) be the second derivative of 0*f**2 - 3/20*f**5 - 1/2*f**3 - 7*f - 1/2*f**4 + 0. Factor v(a).
-3*a*(a + 1)**2
Let s(f) be the third derivative of -f**9/181440 - f**8/15120 + 59*f**5/30 - 3*f**2 - 29*f. Let b(l) be the third derivative of s(l). Factor b(m).
-m**2*(m + 4)/3
Suppose 0 = -0*d + 5*d - 5. Suppose 2*y - d = 3. Suppose -f**2 - 12*f + 3*f**y + 4*f + 8 = 0. Calculate f.
2
Let a(f) be the second derivative of f**6/180 + 19*f**5/120 + 35*f**4/72 + 17*f**3/36 + 521*f. Solve a(x) = 0.
-17, -1, 0
Let i(t) be the third derivative of -t**7/35 - 13*t**6/10 + 107*t**5/40 - 27*t**4/16 - 2411*t**2. Factor i(s).
-3*s*(s + 27)*(2*s - 1)**2/2
Suppose -320 + 211 = -208*w + 723. Factor 0 + 2/3*r**4 + 12*r - 11/3*r**3 - w*r**2 + 1/3*r**5.
r*(r - 2)**2*(r + 3)**2/3
Let v(h) be the first derivative of 6*h**5/5 - 14*h**4 + 94*h**3/3 - 22*h**2 - 5889. Determine x so that v(x) = 0.
0, 1, 22/3
Factor -70 - 2/9*k**3 + 278/3*k - 202/9*k**2.
-2*(k - 3)*(k - 1)*(k + 105)/9
Let o(x) be the second derivative of 2*x**2 - 2/5*x**3 + 0 + 1/60*x**4 - 294*x. Find m such that o(m) = 0.
2, 10
Let q be 108/60*(-5)/(-1) + -6. Let s(t) be the first derivative of 10/27*t**q + 8 - 2/9*t - 4/9*t**2. Factor s(f).
2*(f - 1)*(5*f + 1)/9
Solve 360*c**3 - 81*c**2 + 115*c - 34*c - 333*c**3 - 3*c**4 = 0 for c.
0, 3
Let i(y) be the first derivative of -3/2*y - 1/10*y**5 + 12 + 1/4*y**4 + 2/3*y**3 - 1/2*y**2. Let i(a) = 0. Calculate a.
-1, 1, 3
Let j be 4*(-6)/48*(-424)/1166. Find i, given that 0 + 0*i - 8/11*i**2 + j*i**3 = 0.
0, 4
Let m = 65 + -64. Let w be 3 + (4 + -5)/m. What is z in 2*z + 14*z**4 - 19 - 18*z**w + 23 + 8*z - 10*z**3 + 0*z**4 = 0?
-1, -2/7, 1
Let t(b) be the first derivative of -b**4/2 + 10*b**3/3 - 7*b**2 + 6*b - 6971. Find h, given that t(h) = 0.
1, 3
Factor -44298*d**2 + 54*d - 88*d + 210*d**3 - 3*d**4 + 44727*d**2 + 250*d.
-3*d*(d - 72)*(d + 1)**2
Let q(b) be the second derivative of 4*b**2 - 3/5*b**5 - 4/3*b**4 + 5*b + 2/3*b**3 - 7. Factor q(c).
-4*(c + 1)**2*(3*c - 2)
Solve 799*u + 285*u - 672 + 1216 - 4*u**3 - 211*u**2 + 747*u**2 = 0.
-1, 136
Suppos