the first derivative of 0*m + 13/8*m**4 - 3/5*m**5 + 1/12*m**6 - 60 - 2*m**3 + m**2. Factor y(o).
o*(o - 2)**2*(o - 1)**2/2
Let k = -441 - -561. Let x be (17/(-4) - -2)/((-90)/k). Find m, given that 4/7*m**2 + 2/7*m**x - 2/7*m - 4/7 = 0.
-2, -1, 1
Factor -4/9*z**3 - 64/3 - 256/9*z - 68/9*z**2.
-4*(z + 1)*(z + 4)*(z + 12)/9
Let u(f) = -f**4 + 67*f**3 + 482*f**2 + 864*f. Let a(p) = -68*p**3 - 472*p**2 - 864*p. Let t(z) = -5*a(z) - 4*u(z). Factor t(g).
4*g*(g + 6)**3
Let j be ((-15)/(-3) - 4) + 1*8. Determine a so that -150*a - j*a**2 + 14*a**2 + 522 + 603 = 0.
15
Determine c, given that 8/13*c**2 + 221778/13 + 2664/13*c = 0.
-333/2
Let a be (-1)/(2 + -5) + (-243)/972 + (-974)/(-24). Factor -2/3*m**5 - 63536/3*m - a*m**4 - 54872/3 - 2630/3*m**3 - 22838/3*m**2.
-2*(m + 2)**2*(m + 19)**3/3
Let u = -255 - -259. Factor -10240*v - 48*v**3 - 5561*v**u - 20480 - 2819*v**2 + 5556*v**4 + 899*v**2 - 112*v**3.
-5*(v + 8)**4
Let k = -3779 - -3779. Let g(z) be the third derivative of 0*z**4 - 2*z**2 - 1/330*z**5 + k*z**3 + 0*z + 0 - 1/660*z**6. Factor g(b).
-2*b**2*(b + 1)/11
Let o(v) = -v**5 - v**4 - v**3 - 2*v**2 + v. Let f(s) = -s**5 + 101*s**4 - 555*s**3 + 1006*s**2 - 791*s + 228. Let q(t) = -f(t) + 3*o(t). Solve q(c) = 0.
-57, 1, 2
Determine x so that -576*x**2 + 28*x**4 - 2952*x**3 + 3773*x**3 - 2829*x**3 = 0.
-2/7, 0, 72
Let a be (-4484)/(-247) + -26 - 1/(-2)*16. Let a*x**2 + 36/13 + 18/13*x = 0. What is x?
-6, -3
Let n(c) = -6*c**3 - 37*c**2 - 32*c + 85. Let r(i) = 9*i**3 + 56*i**2 + 49*i - 128. Let u(w) = 7*n(w) + 5*r(w). Factor u(h).
3*(h - 1)*(h + 3)*(h + 5)
Factor -u**3 + 275 + 0*u**3 - 4780*u + 1293 - 5327*u + 9211*u + 58*u**2.
-(u - 28)**2*(u - 2)
Suppose 94*g = 14*g + 480. Let j(h) be the third derivative of 0*h**g - 2/315*h**7 + 2/45*h**5 - 2/9*h**3 + 0*h + 0*h**4 + 2*h**2 + 0. Factor j(y).
-4*(y - 1)**2*(y + 1)**2/3
Let s(b) = -b**3 - b - 1. Let v(i) = -3*i**4 + 65*i**3 - 297*i**2 + 269*i + 629. Let j(a) = 5*s(a) + v(a). Determine h so that j(h) = 0.
-1, 4, 13
Let p = -163957 - -1475809/9. Let 31/9*g**2 + 448/9*g + 43/3*g**4 - p - 475/9*g**3 - g**5 = 0. Calculate g.
-1, 2/3, 7
Let p = -77251/156 + 6300/13. Let j = p - -34/3. Factor 0*v**2 - 9/4*v**4 + j*v**3 + 0*v + 0 - 3*v**5.
-3*v**3*(v + 1)*(4*v - 1)/4
Let p = -31484 - -31486. Factor -2/9*g**3 - 26/9*g**p - 22/9 - 46/9*g.
-2*(g + 1)**2*(g + 11)/9
Let x(f) be the second derivative of f**4/12 + 23*f**3/2 + 99*f**2 - 8*f - 15. Suppose x(b) = 0. What is b?
-66, -3
Let k(z) be the first derivative of 4*z**2 - 4 - 1/6*z**4 + 1/15*z**5 + 0*z + 0*z**3. Let w(p) be the second derivative of k(p). Factor w(m).
4*m*(m - 1)
Solve 3021*v + 27848 + 2*v**2 - 1258*v - 1291*v = 0.
-118
Let m(x) be the first derivative of x**5/5 + 74*x**4/7 - 11*x**3 - 346*x**2/7 - 172*x/7 + 3964. Determine n, given that m(n) = 0.
-43, -1, -2/7, 2
Let y(q) be the first derivative of q**3/9 - q**2 - 187*q/3 - 544. Factor y(w).
(w - 17)*(w + 11)/3
Factor -11*i**2 - 13*i**2 + 2514*i - 11*i**2 + 31*i**2 + i**2 - 526683.
-3*(i - 419)**2
Suppose 5193*w**2 - 2598*w**2 - 2598*w**2 + 360*w - 1053 = 0. Calculate w.
3, 117
Let u(x) be the second derivative of x**5/60 - 13*x**4/24 + 2*x**3 - 141*x**2/2 - 2*x + 23. Let s(w) be the first derivative of u(w). Find h such that s(h) = 0.
1, 12
Let q = -63 - -146. Suppose q + 59 = 2*z. Solve -32*s**2 - 27*s - 36*s**2 + 24 + z*s**2 = 0.
1, 8
Let g(p) = p**2 + p + 5. Let u(a) = -7*a**2 - 1356*a - 700. Let q(y) = 10*g(y) + 2*u(y). What is o in q(o) = 0?
-675, -1/2
Factor 3 - 31/4*n + 15/4*n**2 - 1/2*n**3.
-(n - 4)*(n - 3)*(2*n - 1)/4
Find a such that 145/4*a + 5/4*a**2 - 155/2 = 0.
-31, 2
Factor -5*k**2 + 35 + 68 - 133673*k - 7 + 133628*k + 14.
-5*(k - 2)*(k + 11)
Let s(l) be the second derivative of 100/21*l**3 + 1/210*l**5 - 14*l**2 + 0 + 31*l + 5/21*l**4. Let q(u) be the first derivative of s(u). Factor q(y).
2*(y + 10)**2/7
Let h be (-4)/26 - (46920/364)/(-17). Let i = h - 51/7. Find s such that 0*s + i*s**4 + 0 + 1/7*s**3 - 2/7*s**2 = 0.
-2, 0, 1
Let o be (-70670)/(-4584) + (-15)/9. Let -1/4*s**2 + 0 + 22*s**3 + o*s**4 - 7*s**5 - 3/2*s = 0. What is s?
-1, -2/7, 0, 1/4, 3
Let j(y) = -8*y**3 + 5*y**2 - 2*y. Let s(t) = -37*t**3 + 253*t**2 - 6778*t + 43200. Let l(b) = -5*j(b) + s(b). Suppose l(o) = 0. Calculate o.
-100, 12
Let x(k) be the third derivative of k**5/240 + 377*k**4/96 + 187*k**3/4 - k**2 - 1818*k. Find s such that x(s) = 0.
-374, -3
Suppose 5*u + 5 = 0, 2*r - 5*u + 22 = -u. Let h be ((-2)/(-6))/(((-26)/2238)/r). Factor 346*y**4 + 90*y**3 - h*y**4 + 36*y - 84*y**2 - 12*y.
-3*y*(y - 2)*(3*y - 2)**2
Let h(w) be the second derivative of -5/4*w**5 + 2*w + 10*w**3 - 35/3*w**4 - 8 + 0*w**2. Factor h(r).
-5*r*(r + 6)*(5*r - 2)
Let l(r) be the first derivative of r**3 + 1560*r**2 + 811200*r + 247. Factor l(f).
3*(f + 520)**2
Let o(b) = -2*b**3 - 4*b**2 + 24*b + 57. Let w be o(-3). Factor 0*r**2 - 2/7*r**5 + 0*r + 4/7*r**4 + 0 - 2/7*r**w.
-2*r**3*(r - 1)**2/7
Suppose -84*v = -73*v - 44. Factor 2*y**2 + 162*y - y**4 - 166*y - y**v + 0*y**2 + 4*y**3.
-2*y*(y - 2)*(y - 1)*(y + 1)
Let t(a) be the first derivative of -2*a**5/5 - 21*a**4/2 - 212*a**3/3 - 96*a**2 + 448*a + 457. Let t(x) = 0. What is x?
-14, -4, 1
Solve 2068*g + 591154 + 372*g**2 + 380*g**2 + 379*g**2 - 56576 - 1129*g**2 = 0.
-517
Let d(b) be the second derivative of -b**4/12 + 19*b**3/6 + 2*b + 3. Let y be d(0). Factor 18/17*h + y + 14/17*h**3 - 2/17*h**4 - 30/17*h**2.
-2*h*(h - 3)**2*(h - 1)/17
Let b = 917 + -919. Let z(n) = 8*n**3 + 7*n**2 - n + 5. Let h(o) = -4*o**3 - 4*o**2 - 2. Let s(d) = b*z(d) - 5*h(d). Factor s(g).
2*g*(g + 1)*(2*g + 1)
Suppose 6*v - 8*v + 80 = 0. Let -76*f**3 + 3*f**2 + 81*f**3 - v*f**4 + f**2 + 25*f**5 + 6*f**2 = 0. What is f?
-2/5, 0, 1
Let t be ((-12)/(-45))/(2/(-14) + 12300/56700). Let 27/5*p**4 - 207/5*p**3 - 129/5*p + 291/5*p**2 + t = 0. What is p?
1/3, 1, 6
Let u be 1/10*(3 - -1)*(-30)/(-4). Solve 22/9*i**u + 20/9*i**5 - 38/9*i**4 + 0*i - 4/9*i**2 + 0 = 0.
0, 2/5, 1/2, 1
Suppose -7*f - 3 = -v - 3*f, v - 3 = -5*f. Suppose 0 + m**5 + 79*m**3 + 4*m**4 - 76*m**v + 0 = 0. Calculate m.
-3, -1, 0
Suppose 3*y - 3 = -2*h, 6*h - 5*h + 3*y = 0. Factor -75*n**5 - 4*n**2 - 2*n**3 + 79*n**5 - 2*n**h + 4*n**4.
4*n**2*(n - 1)*(n + 1)**2
Let d(y) be the second derivative of -37/12*y**3 + 35/18*y**4 + 0 + 3/2*y**2 + 5/6*y**5 - 146*y. Factor d(m).
(m + 2)*(10*m - 3)**2/6
Let n(f) be the first derivative of f**5/120 + 7*f**4/48 - 191*f**2/2 + 182. Let r(m) be the second derivative of n(m). Determine g so that r(g) = 0.
-7, 0
Let g(n) be the second derivative of -7*n**4/3 - 15*n**3 + 14*n**2 + n + 171. Let g(l) = 0. Calculate l.
-7/2, 2/7
Let g = 59468/3 - 19787. Factor -g*f**2 + 578/9 + 221/9*f + 35/9*f**3 - 1/9*f**4.
-(f - 17)**2*(f - 2)*(f + 1)/9
Suppose -5*a - 10 = -4*b, -6*a - 8 = 5*b - 2*a. Suppose b = -4*t - 9 + 17. Factor 4*z**4 - 486*z - 8*z**t + 478*z - 4*z**2.
4*z*(z - 2)*(z + 1)**2
Let d(a) = -68*a**2 + 3270*a + 1334. Let i(k) be the second derivative of 23*k**4/12 - 545*k**3/3 - 222*k**2 - 260*k. Let p(q) = -2*d(q) - 7*i(q). Factor p(h).
-5*(h - 44)*(5*h + 2)
Suppose -m = -0*m. Suppose 13*u + 68 = 120. Determine r so that m*r**2 - 5*r**3 + 0*r + u*r**2 + 3*r**3 - 2*r = 0.
0, 1
Suppose 0 = 4*f + d, -313*d - 54 = -2*f - 309*d. Let -2*z**2 - 1/2*z**4 + 0 + 0*z + 5/2*z**f = 0. Calculate z.
0, 1, 4
Let y(l) be the second derivative of -11/24*l**4 - 83*l + 0*l**2 - 3/10*l**5 + 0*l**3 - 2 - 1/60*l**6. Factor y(p).
-p**2*(p + 1)*(p + 11)/2
Let b be 4/30 - 28672/56640. Let v = b - -228/295. Let -v*h**2 - 1/5*h**3 + 13/5*h - 2 = 0. Calculate h.
-5, 1, 2
Factor r**3 - 11278*r + 22552*r - 11265*r - 3 + 2*r**3 - 9*r**2.
3*(r - 1)**3
Let f(c) be the third derivative of c**6/30 - 13*c**5 + 128*c**4 - 1528*c**3/3 + 45*c**2 - 1. Let f(o) = 0. Calculate o.
2, 191
Let k be (0 - 2) + (-14)/(-2). Suppose -k*g = -3 - 7. Factor -27*w**2 + 10*w**g + 3*w + w + 9*w**2.
-4*w*(2*w - 1)
Suppose -78*c + 39 = -127*c + 62*c. Let b(u) be the second derivative of -1/4*u**4 + 12*u + 3*u**c + 0 - 15/2*u**2. Find q such that b(q) = 0.
1, 5
Find b, given that 5/4*b**5 - 210 - 565/2*b + 155/4*b**2 - 95/4*b**4 + 345/4*b**3 = 0.
-1, 3, 4, 14
Let x(t) = 8*t**2 - 156*t + 22. Suppose -5*q - 3*o - 1 = 0, -5*o = -4*q - o - 20. Let y(v) = -3*v. Let 