 + 0*z**2 + 7/2*z**4. Factor y(c).
-2*c**2*(c - 22)*(c + 1)/3
Suppose 357 = -66*g + 73*g. Suppose 15 = 22*j - g. Let 2*n**2 - 2/5*n**j + 8/5 - 16/5*n = 0. Calculate n.
1, 2
Suppose -511*w - 229 + 1251 = 0. Let x(o) be the first derivative of -3/20*o**4 + 0*o + 3/10*o**w - 27 + 0*o**3. Factor x(p).
-3*p*(p - 1)*(p + 1)/5
Factor 14313079*s**2 + 4*s**4 + 816204*s**2 + 7553630*s**2 + 19624900 + 17728*s**3 - 3022569*s**2 + 10179417*s + 29088103*s.
4*(s + 1)**2*(s + 2215)**2
Suppose 20*k - 340 = -280. Let -2/3 + 2/3*b - 2/3*b**k + 2/3*b**2 = 0. Calculate b.
-1, 1
Let h(r) be the first derivative of r**6/360 + r**5/15 - 2*r**3/3 + 5*r**2/2 + 22. Let t(k) be the third derivative of h(k). Determine d so that t(d) = 0.
-8, 0
Let b(j) be the third derivative of -j**7/315 + 137*j**6/180 - 271*j**5/90 + 15*j**4/4 + j**2 - 68*j. Factor b(m).
-2*m*(m - 135)*(m - 1)**2/3
Let x(o) = -o**2 - 12*o + 21. Let u be x(-13). Factor -4*j**4 + 16 + 20*j - 28*j**3 + 276*j**2 - 288*j**2 + u*j**3.
-4*(j - 1)*(j + 1)**2*(j + 4)
Let o be ((-1 - 0) + -104)*(-74)/(-111). Let k = 318 + o. Suppose -3*g**4 + 2 + 8 + k*g**2 - 2*g**4 - 253*g**2 + 15*g - 15*g**3 = 0. Calculate g.
-2, -1, 1
Let v = 13 - -8. Suppose h - 37 = -v. Let -5*c**3 + 8*c**2 + 4*c**3 - 3*c**3 - h - 32*c - 28*c**2 = 0. What is c?
-2, -1
Determine r, given that 495/7*r**4 + 0 + 40344/7*r - 20658/7*r**3 - 3/7*r**5 + 19188/7*r**2 = 0.
-1, 0, 2, 82
Let p(z) = z**2 - 5*z + 11. Let a be p(3). Determine v so that -2*v**2 + 27*v - 43 - a + 4*v**2 - 7*v = 0.
-12, 2
Let v = 597 + -585. Suppose -39*u - v = -90. Factor -18/7 + 12/7*a - 2/7*a**u.
-2*(a - 3)**2/7
Determine o, given that 8/5 + 19/5*o - 14/5*o**4 + 6/5*o**2 - 3/5*o**5 - 16/5*o**3 = 0.
-8/3, -1, 1
Let t = 441 - 115. Let h = t - 323. Factor 2 + 35/2*m**h + 59/2*m**2 + 14*m.
(m + 1)*(5*m + 2)*(7*m + 2)/2
Let h be 30/50*(-1 - -26). Suppose -9*d = -4*d - h. Factor 0*s**d + 88*s + s**3 - 92*s.
s*(s - 2)*(s + 2)
Let k(s) = -742*s - 5171. Let f be k(-7). Let y(q) be the third derivative of -f*q**2 - 5/6*q**4 - 1/3*q**5 - 5/6*q**3 + 0*q + 0. Let y(o) = 0. What is o?
-1/2
Determine v so that 536/5 - 16/5*v**3 - 220*v**2 - 1868/5*v = 0.
-67, -2, 1/4
Let f(n) = -2*n**4 - 29*n**3 - 43*n**2 + 72*n - 1. Let y(s) be the first derivative of -s**5/5 + s**4/2 + s**3/3 + s + 54. Let w(d) = -f(d) - y(d). Factor w(l).
3*l*(l - 1)*(l + 4)*(l + 6)
Let r be (540/(-132))/(24*(-16)/1760). Determine m so that -r*m**2 - 3/4*m**3 + 75/4 + 3/4*m = 0.
-25, -1, 1
Let o(a) be the first derivative of -10/9*a**2 - 2/27*a**3 - 136 - 14/3*a. Factor o(y).
-2*(y + 3)*(y + 7)/9
Factor -3*z**2 + 1538 + 829*z + 621*z - 250*z + 850 + 6*z**2.
3*(z + 2)*(z + 398)
Let m(x) be the third derivative of -205379*x**6/30 + 250632*x**5/5 - 152928*x**4 + 248832*x**3 + 2*x**2 - 6819. Find u, given that m(u) = 0.
72/59
Let m(t) = 5*t**2 - 8*t**2 - 7*t**3 + 7*t + 13 - 14*t**2. Let r(x) = 8*x**3 + 18*x**2 - 8*x - 12. Let o(i) = -3*m(i) - 2*r(i). Find v, given that o(v) = 0.
-3, -1, 1
Let o = -692310/839 - -12108867058/14664881. Let y = 2/1589 + o. Factor -6/11*w + 0*w**2 + y*w**3 + 0.
6*w*(w - 1)*(w + 1)/11
Determine c, given that -160/7 - 34*c**4 + 1752/7*c - 4902/7*c**3 - 2752/7*c**2 = 0.
-20, -1, 2/17, 2/7
Find f such that 52/3*f**2 + 9*f**3 + 0 + 2/3*f**4 - 1/3*f**5 + 28/3*f = 0.
-2, -1, 0, 7
Let k be (-5)/12*110/(-550). Let z(x) be the third derivative of 4/105*x**7 - 1/3*x**3 + 3/10*x**5 + k*x**4 - x**2 + 0 + 11/60*x**6 + 0*x. Factor z(f).
2*(f + 1)**3*(4*f - 1)
Find w such that 36096/5*w + 19764/5*w**4 - 103716/5*w**2 - 4096/5 + 972/5*w**5 + 18036*w**3 = 0.
-32/3, 1/3
Let f be (190/(-1064))/((-5)/14). Let -f*v**2 + 7*v + 16 = 0. Calculate v.
-2, 16
Let s = -59880 - -778446/13. Let 2/13*f**3 + 4/13*f + s*f**2 + 0 = 0. Calculate f.
-2, -1, 0
Let z(n) be the second derivative of -3*n**5/100 - 22*n**4/5 - 2021*n**3/10 - 5547*n**2/5 + 1163*n. Determine v, given that z(v) = 0.
-43, -2
Let c(g) be the second derivative of 0*g**2 + 1/6*g**4 - 9*g + 0 + g**3. Determine r so that c(r) = 0.
-3, 0
Let o(j) be the third derivative of 52*j**7/525 + 317*j**6/300 + 48*j**5/25 + 13*j**4/60 - 2*j**3/3 + 272*j**2 - 3*j. Suppose o(x) = 0. What is x?
-5, -1, -1/4, 2/13
Let m(n) be the first derivative of n**7/294 - n**6/70 - 3*n**5/70 + 2*n**4/21 - 66*n - 77. Let z(b) be the first derivative of m(b). Factor z(d).
d**2*(d - 4)*(d - 1)*(d + 2)/7
Let z(m) be the second derivative of 0 - 1/4*m**4 + 51*m**2 + 302*m - 33/2*m**3. Suppose z(u) = 0. What is u?
-34, 1
Let s(b) be the first derivative of 125 + 6*b**3 + 1/20*b**5 - 1/2*b**2 - 24*b + 27/16*b**4. Factor s(j).
(j - 1)*(j + 2)**2*(j + 24)/4
Let w = 209/316 - -5/948. Factor 2/3*h**2 + w*h + 2/9*h**3 + 2/9.
2*(h + 1)**3/9
Let a(t) be the third derivative of -1/5*t**5 + 0*t**3 + 0 + 3/20*t**6 - 14*t**2 + 4*t + 1/112*t**8 - 2/35*t**7 + 1/8*t**4. Factor a(v).
3*v*(v - 1)**4
Let j(y) be the third derivative of y**6/40 - 197*y**5/10 + 38809*y**4/8 + 1347*y**2. Solve j(i) = 0.
0, 197
Let g(q) be the second derivative of q**6/180 - 41*q**5/24 + 5303*q**4/36 - 833*q**3/3 - 1734*q**2 - 3437*q. Let g(i) = 0. What is i?
-1, 2, 102
Let d(q) be the first derivative of -3/4*q**4 + 5*q**3 + 138 - 9*q**2 + 0*q. Factor d(c).
-3*c*(c - 3)*(c - 2)
Suppose 2817 = 46*x + 2633. Let y(z) be the first derivative of -15/2*z**2 - 22 - 3/4*z**4 + 6*z + x*z**3. Factor y(w).
-3*(w - 2)*(w - 1)**2
Let p(o) be the third derivative of o**5/60 + 119*o**4/24 - 20*o**3 - 2153*o**2. Factor p(r).
(r - 1)*(r + 120)
Let n(r) be the first derivative of r**7/6720 - r**6/160 - 274*r**3/3 - 190. Let x(c) be the third derivative of n(c). Factor x(q).
q**2*(q - 18)/8
Let t = 1625876/5 + -327529. Let p = 2358 + t. Determine j, given that -12/5*j + p*j**3 - 12/5 - 9/5*j**5 + 27/5*j**2 - 3*j**4 = 0.
-2, -1, -2/3, 1
Let v(m) be the third derivative of m**8/1176 - m**7/49 - 19*m**6/420 + 47*m**5/210 + 3*m**4/14 - 32*m**3/21 + 803*m**2. Solve v(u) = 0.
-2, -1, 1, 16
Solve -3/5*l**4 + 1008/5 - 48*l**2 + 51*l**3 - 204*l = 0.
-2, 1, 2, 84
Suppose -332 = -130*i + 58. Find u such that -35/2*u**2 + 55/2*u + 5/2*u**i - 25/2 = 0.
1, 5
Let k(l) = 8*l**3 - 1752*l**2 + 2242*l - 448. Let c(m) = 2*m**2. Let p(t) = -50*c(t) + 2*k(t). Solve p(f) = 0.
1/4, 1, 224
Let j(v) = -5*v**3 + 4*v**2 + 41*v. Let x = 260 - 245. Let p(m) = -36*m**3 + 27*m**2 + 285*m. Let b(y) = x*j(y) - 2*p(y). Factor b(f).
-3*f*(f - 5)*(f + 3)
Let v(x) = 4*x + 168. Let u be v(-42). Suppose -3*a**3 + 34*a + u - 22*a + 7 + 0 + 5 - 3*a**2 = 0. Calculate a.
-2, -1, 2
Let s be (-3729)/(-1695) + (-1328)/(-160). Factor 3/4 - s*o + 75/4*o**2 - 9*o**3.
-3*(o - 1)**2*(12*o - 1)/4
Let v(i) = 4*i**2 + 2. Suppose 4*a = -a + 20. Let r(m) = 6*m + 1 - 6 - a - 5*m - 17*m**2. Let t(x) = -4*r(x) - 18*v(x). Find p such that t(p) = 0.
-1, 0
Let a be (-17756)/40 + (-3)/30. Let u = -442 - a. Let -2/21*r**u - 6/7*r + 0 = 0. Calculate r.
-9, 0
Let i(r) = 3*r**2 - 299*r + 586. Let u be i(2). Let t(p) be the second derivative of u*p**3 + 1/80*p**5 + 17*p + 0 - 1/8*p**4 + 4*p**2. What is c in t(c) = 0?
-2, 4
Let v(n) be the third derivative of 0*n + 0 - 1/60*n**4 - 7/3*n**3 + 23*n**2 - 1/360*n**6 + 7/600*n**5. Let d(x) be the first derivative of v(x). Factor d(i).
-(i - 1)*(5*i - 2)/5
Let f(q) be the first derivative of q**4/5 - 8*q**3/15 - 18*q**2/5 + 72*q/5 - 1346. Factor f(y).
4*(y - 3)*(y - 2)*(y + 3)/5
Let j(a) be the third derivative of -1/30*a**5 + 0*a + 0*a**3 + 49*a**2 - 5/12*a**4 + 0. Determine d, given that j(d) = 0.
-5, 0
Solve 5/3*i**4 - 1/12*i**5 + 15*i**2 - 59/6*i**3 + 0 - 27/4*i = 0.
0, 1, 9
Suppose -7 = -554*t + 3 - 10. Solve t*x - 24/5*x**3 + 0 + 48/5*x**2 + 3/5*x**4 = 0.
0, 4
Let w = 9 + -6. Let o = -271 + 273. Factor -4*k**3 + 20*k**2 - 3*k**3 + 2*k**4 + 31*k**w + o*k**4.
4*k**2*(k + 1)*(k + 5)
Let r = 57560/9 - 19186/3. Let i(q) be the first derivative of r*q + 37 + 1/9*q**2 - 4/27*q**3. Factor i(m).
-2*(m - 1)*(2*m + 1)/9
Let b(y) be the first derivative of -y**3/3 + 6. Let s(g) = 2*g - 3. Let p(w) = w - 2. Let j(v) = 3*p(v) - 2*s(v). Let o(u) = -5*b(u) + 10*j(u). Factor o(t).
5*t*(t - 2)
Suppose 7*s = 22*s + 405. Let t(a) = 3*a**2 - 18*a + 17. Let k(q) = -39*q**2 + 234*q - 222. Let d(n) = s*t(n) - 2*k(n). Suppose d(z) = 0. What is z?
1, 5
Let i(n) be the first derivative of 