f 11*m**6/42 - 166*m**5/35 + 125*m**4/28 + 650*m**3/21 - 338*m**2/7 + 8*m + 13368. Solve l(r) = 0.
-2, 1/11, 1, 2, 14
Let w(z) be the third derivative of z**7/945 - 89*z**6/270 - 907*z**5/270 - 365*z**4/27 - 244*z**3/9 + 4098*z**2. Solve w(a) = 0.
-2, -1, 183
Let s(f) be the first derivative of -7*f**6/3 + 542*f**5/5 - 391*f**4/2 - 3838*f**3/3 - 1546*f**2 - 592*f - 6658. Find u, given that s(u) = 0.
-1, -2/7, 4, 37
Factor -531/7*a + 3/7*a**3 - 972/7 - 60/7*a**2.
3*(a - 27)*(a + 3)*(a + 4)/7
Let z(n) be the second derivative of 3*n**6/10 + 89*n**5/10 + 635*n**4/12 - 25*n**3 - 976*n. Suppose z(x) = 0. What is x?
-15, -5, 0, 2/9
Let s(f) be the second derivative of -5*f**2 - 3*f + 25/12*f**4 - 1/2*f**5 - 5/6*f**3 + 23. Factor s(p).
-5*(p - 2)*(p - 1)*(2*p + 1)
Let p = 4333/1299 - 1/433. Let j be (48/204)/((-13)/91 + (-118)/(-238)). Determine b so that p*b - 4 + j*b**2 = 0.
-6, 1
Solve -173203248/5*j**2 - 19807424*j + 260624/5*j**3 - 2830240 - 98/5*j**4 = 0.
-2/7, 1330
Let b(w) be the third derivative of 1/480*w**6 + 0*w**4 - 1/840*w**7 + 1/120*w**5 + 0 + 18*w + 2*w**2 + 0*w**3. Factor b(h).
-h**2*(h - 2)*(h + 1)/4
Let a(v) be the second derivative of v**4/4 + 109*v**3 + 651*v**2/2 - 13*v - 1. Determine g so that a(g) = 0.
-217, -1
Let w(o) be the third derivative of o**5/300 - 41*o**4/120 - 196*o**3/15 + 2*o**2 + 222. Factor w(d).
(d - 49)*(d + 8)/5
Let a(y) = 3*y**4 + 55*y**3 - 492*y**2 + 1198*y - 719. Let n(w) = -3*w**4 - 54*w**3 + 486*w**2 - 1200*w + 717. Let d(q) = -6*a(q) - 5*n(q). Factor d(o).
-3*(o - 3)**2*(o - 1)*(o + 27)
Let v(n) be the third derivative of n**5/240 + 3*n**4/4 - 73*n**3/24 - 2*n**2 - 27. Find t, given that v(t) = 0.
-73, 1
Let o(s) = s**2 + 22*s + 42. Let t be o(-20). Factor -52*j**2 + 22*j**3 - 20*j**2 + t*j**3 - 2*j**4.
-2*j**2*(j - 6)**2
Let d(c) be the third derivative of -4/3*c**3 + 1/2*c**4 - 4*c + 0 + 10*c**2 - 1/15*c**5. Find k such that d(k) = 0.
1, 2
Let q(g) = -10*g**3 + 1203*g**2 - 89997*g - 6. Let y(z) = -12*z**3 + 1204*z**2 - 89996*z - 8. Let h(p) = 4*q(p) - 3*y(p). Determine i, given that h(i) = 0.
0, 150
Let c(i) = -7*i**3 - i**2 - i + 1. Let g(o) = 134*o**3 + 34*o**2 + 18*o - 34. Let h(p) = 76*c(p) + 4*g(p). Factor h(t).
4*(t - 1)*(t + 1)*(t + 15)
Factor 1592644/3 - 840*w**2 + 2/3*w**3 + 263758*w.
2*(w - 631)**2*(w + 2)/3
Factor -8688/7*o**2 - 30752/7 + 256/7*o**3 + 31744/7*o - 2/7*o**4.
-2*(o - 62)**2*(o - 2)**2/7
Let q(c) be the third derivative of -c**6/480 + 59*c**5/240 - 23*c**4/2 + 264*c**3 + 168*c**2 - 4*c. Factor q(i).
-(i - 24)**2*(i - 11)/4
Let v(t) be the third derivative of -7/15*t**4 - 8*t - 2*t**2 + 196/15*t**3 + 1/150*t**5 + 0. Suppose v(f) = 0. Calculate f.
14
Let g be 10/3*(170640/(-525))/(-237). Factor 4/7*m**3 - g*m - 48/7 + 4/7*m**2.
4*(m - 3)*(m + 2)**2/7
Let t = 1894/3 - 13243/21. Let u(x) be the first derivative of 3/7*x**4 + 7 + 3/14*x**2 - t*x**3 + 0*x. Factor u(n).
3*n*(n - 1)*(4*n - 1)/7
Let v(y) = 3*y**4 + 2475*y**3 + 771281*y**2 - 773772*y - 1. Let c(u) = -u**4 + 11*u**3 - u**2 + 4*u + 1. Let l(o) = c(o) + v(o). Factor l(h).
2*h*(h - 1)*(h + 622)**2
Suppose 181 = 70*v + 181. Let z(j) be the second derivative of 13*j - 2/23*j**2 + v - 1/69*j**3 + 1/138*j**4. Factor z(m).
2*(m - 2)*(m + 1)/23
Factor 103756*d + 834817*d + 2*d**4 + 540794*d**2 + 486678 - 338447*d - 2084*d**3 + 58290 + 487722*d.
2*(d - 522)**2*(d + 1)**2
Let p(b) = 2*b**2 + b - 40. Let a(r) = 5*r**2 - 49*r + 498. Let n(w) = -a(w) + 2*p(w). Factor n(y).
-(y - 34)*(y - 17)
Let s(c) be the first derivative of -10/3*c**3 + 48 - 25/2*c**2 + 4*c**5 + 5/6*c**6 - 10*c + 5*c**4. Determine h, given that s(h) = 0.
-2, -1, 1
Let r = -314751/7 + 44965. Let g(a) be the second derivative of -1/70*a**5 + 0 + 10*a - 1/14*a**4 + 0*a**3 + r*a**2. Let g(z) = 0. What is z?
-2, 1
Let s(z) be the first derivative of z**5/15 + 38*z**4/3 + 2888*z**3/3 - 6*z**2 - 3*z + 105. Let v(t) be the second derivative of s(t). Factor v(l).
4*(l + 38)**2
Factor -3/2*i**2 + 972*i - 157464.
-3*(i - 324)**2/2
Let h(j) be the first derivative of 4*j**3/3 + 690*j**2 - 2776*j + 4086. Factor h(s).
4*(s - 2)*(s + 347)
Let l(f) be the first derivative of -7*f**6/3 - 214*f**5/15 - 157*f**4/6 - 154*f**3/9 - 2*f**2 - 1382. Suppose l(v) = 0. Calculate v.
-3, -1, -2/21, 0
Factor -8*p**2 + 2/11*p**3 + 390/11*p + 0.
2*p*(p - 39)*(p - 5)/11
Solve -1944/7 - 60/7*v**2 - 2/7*v**3 - 594/7*v = 0.
-12, -9
Let v be (-408 + 3)/(7/14). Let t = -806 - v. Determine c so that -1/5*c + 0 - 1/5*c**2 + 1/5*c**t + 1/5*c**3 = 0.
-1, 0, 1
Let m = 9/163 - -73169/326. Let x = 225 - m. Factor x*u**2 + 0 + 1/2*u.
u*(u + 1)/2
Let f(h) = 11*h**4 - 294*h**3 - 21028*h**2 + 282*h + 21025. Let g(w) = 3*w**4 - w**3 - w**2 - 2*w. Let v(t) = -f(t) + 4*g(t). Let v(x) = 0. What is x?
-145, -1, 1
Suppose -2*d + 17 + 13 = 0. Let o = d - 12. Factor 357*p**2 - 2*p**3 - 2*p - 342*p**2 - 3*p**o - 8*p.
-5*p*(p - 2)*(p - 1)
Let y(u) be the first derivative of -u**5/5 - 27*u**4/4 - 95*u**3/3 - 69*u**2/2 + 5624. Factor y(d).
-d*(d + 1)*(d + 3)*(d + 23)
Let q = 68 - -80. Factor -q*i**2 + 46 - 16 + 100*i**3 - 85*i - 17*i**2.
5*(i - 2)*(4*i - 1)*(5*i + 3)
Suppose 4500 + 4/5*g**2 - 120*g = 0. Calculate g.
75
Let x = 435 + -433. Let r(w) be the first derivative of 5/3*w**3 + 20*w + 4 + 10*w**x. Find c, given that r(c) = 0.
-2
Suppose 305*j**2 - 58*j**2 - 672 - 122*j**2 + 31*j**2 + 520*j - 4*j**3 = 0. What is j?
-4, 1, 42
Let s(w) be the second derivative of 3*w**5/80 - 49*w**4/8 + 97*w**3/8 + 229*w - 3. Factor s(m).
3*m*(m - 97)*(m - 1)/4
Let v(a) be the first derivative of -a**5/15 - 2*a**4 - 11*a**3 - 38*a**2/3 - 2830. Solve v(c) = 0 for c.
-19, -4, -1, 0
Let m = 15583 + -15583. Let j(h) be the third derivative of 0*h - 1/70*h**5 - 2/21*h**3 + m + 5/84*h**4 - 26*h**2. Factor j(x).
-2*(x - 1)*(3*x - 2)/7
Let i(o) = -3*o + 66. Let n be i(-6). Let c be (8/(-30))/(n/(-210)). Let 1/2 + 1/6*k**2 - c*k = 0. What is k?
1, 3
Suppose -184/17*a**2 - 800/17*a - 2/17*a**5 + 82/17*a**3 + 8/17*a**4 + 896/17 = 0. Calculate a.
-4, 1, 4, 7
Determine y, given that -19783787528/3 - 177433072/3*y - 1/6*y**4 - 198916*y**2 - 892/3*y**3 = 0.
-446
Let v be (-214)/963 + 6/27 + 1*3. Let c(h) be the third derivative of 1/24*h**4 + 1/120*h**6 - 2*h + 0*h**v - 1/30*h**5 + 0 + 8*h**2. Factor c(k).
k*(k - 1)**2
Let y = 74 + -546. Let z = 475 + y. Determine i so that 0 - 3/4*i**5 + 0*i - 3/4*i**2 - 9/4*i**z - 9/4*i**4 = 0.
-1, 0
Let l = 3118/3675 + 32/3675. Factor 72/7*q - 24/7*q**2 - l*q**3 + 0.
-6*q*(q - 2)*(q + 6)/7
What is h in 48/17*h**2 - 6/17*h**4 - 2/17*h**5 + 0*h + 20/17*h**3 + 0 = 0?
-4, -2, 0, 3
Let t be (-2)/((-4236)/(-4244) + -1). Let q = t + -1059. Factor -4/5*k**q + 16/5*k - 16/5.
-4*(k - 2)**2/5
Let c(y) be the second derivative of y**5/30 + 43*y**4/9 + 205*y**3/3 - 234*y**2 - 6027*y. Let c(i) = 0. Calculate i.
-78, -9, 1
Let h(k) = 70*k**2 - 7508*k + 1928. Let l be h(107). Factor 36/5 - 3/5*u**l - 3/5*u.
-3*(u - 3)*(u + 4)/5
Factor -720*r - 13/3*r**2 - 332/3.
-(r + 166)*(13*r + 2)/3
Let b(u) = -u**2 + u + 53. Let c be b(-6). Let p(v) be the first derivative of 0*v**2 + 8*v + c - 2/3*v**3. Factor p(w).
-2*(w - 2)*(w + 2)
Let y = -102 - -94. Let i be ((-2)/28)/(6/(288/y)). Solve i - 4/7*j + 1/7*j**2 = 0.
1, 3
Find u such that 1815*u**2 + 5726103 + 3131702 + 5*u**3 + 196677*u + 22938*u = 0.
-121
Let c = 232 - 227. Let k(x) = -x - 1. Let s(q) = -q**3 + 3*q**2 - q - 5. Let f(u) = c*s(u) - 10*k(u). Factor f(n).
-5*(n - 3)*(n - 1)*(n + 1)
Let t(q) be the first derivative of -13/6*q - 61/18*q**3 - 7/8*q**4 - 24 - 17/4*q**2 + 1/15*q**5. What is a in t(a) = 0?
-1, -1/2, 13
Let s(q) be the first derivative of -1/126*q**5 + 0*q - 2/9*q**3 + 21 + 5*q**2 + 37/252*q**4. Let f(j) be the second derivative of s(j). Factor f(k).
-2*(k - 7)*(5*k - 2)/21
Let s be -1*(-3)/3 + 5/(-1). Let p be (-1 + (-2)/s)/((-390)/260). Determine i, given that 1/3 + i**2 + p*i**3 + i = 0.
-1
Suppose -35*j = -196 + 305 - 179. Factor -15/2*h**3 + 0 + 6*h - 12*h**j.
-3*h*(h + 2)*(5*h - 2)/2
Let r(f) = f - 4. Let z be r(6). Let b(i) = 4*i - 76. Let p be b(23). Factor 18*h**z + 163 - p*h**3 - 16*h**4 - 8*h - 163 + 10*h**2.
-4*h*(h + 2)*(2*h - 1)**2
Let j(v) be the first derivative of -180 - 32*v - 4/3*v**3 - 18*v**2. Find g, given that j(g) = 0.
-8, -1
Let b(q) be the