d derivative of j**4/3 - 3448*j**3/3 + 1486088*j**2 - 2275*j. Factor h(x).
4*(x - 862)**2
Let z(b) = 4*b**2 + 30*b - 51. Let v(k) = 2*k**2 + 15*k - 25. Let h(f) = 7*v(f) - 3*z(f). Let r be h(-9). Find w such that -7*w**3 + 4*w**3 - r*w**2 - w**2 = 0.
-2, 0
Let p = 34775 - 71541/2. Let l = -995 - p. Let -1/6*s**4 + 0 + 0*s**3 + l*s**2 + 1/3*s = 0. Calculate s.
-1, 0, 2
Let y(d) = -2*d + 11. Let m(w) = 3*w**3 + 5922*w**2 + 3896672*w + 854670958. Let g(q) = -m(q) + 2*y(q). Let g(z) = 0. Calculate z.
-658
Suppose 29*y = 22*y + 14. Factor 78*p**y - 82*p**2 + 13*p + 25*p + 6*p.
-4*p*(p - 11)
Let v(i) = -i**3 + 31*i**2 - 83*i - 28. Let o be v(28). Let p(f) be the second derivative of -4/15*f**3 + o + 1/60*f**4 + 8/5*f**2 + 11*f. Factor p(r).
(r - 4)**2/5
Let w = 344232 - 344230. Factor -22*f**w - 40*f - 200/11.
-2*(11*f + 10)**2/11
Let i be 28/(-56) + 6/4. Let x be 22/(-143) - (i - 15/13). Factor -1/12*h**3 + 1/4*h + x*h**2 - 1/6.
-(h - 1)**2*(h + 2)/12
Let q(r) be the first derivative of 2*r**3/15 - 137*r**2/5 - 556*r/5 + 1127. Factor q(s).
2*(s - 139)*(s + 2)/5
Let j(n) be the first derivative of n**4/14 - 20*n**3/21 - n**2/7 + 20*n/7 + 134. Solve j(c) = 0.
-1, 1, 10
Let b(p) be the third derivative of -5*p**8/336 + 29*p**7/14 - 127*p**6/12 + 14*p**5 - 1925*p**2 - p. Determine i so that b(i) = 0.
0, 1, 2, 84
Let q(y) = -7*y - 123. Let x be q(-18). Let g be (-12)/(-18) - 1/6. Determine v, given that g*v**2 + 0 + 1/2*v**x - v = 0.
-2, 0, 1
Factor -462400/9 + 2720/9*t - 4/9*t**2.
-4*(t - 340)**2/9
Let b = -49 - -77. Let j(u) = -u**4 - 13*u**3 + 24*u**2 - 33*u + 16. Let w(p) = -p**3 - p + 1. Let d(g) = b*w(g) - 4*j(g). Let d(l) = 0. Calculate l.
-9, 1
Let n = -452 + 448. Let r(y) = 2*y**3 - 13*y**2 + 64*y - 74. Let m(o) = -o**3 + 7*o**2 - 32*o + 36. Let d(u) = n*r(u) - 9*m(u). Factor d(x).
(x - 7)*(x - 2)**2
Let m(a) be the first derivative of -11*a**6/60 - a**5/30 - 19*a**3 + 25. Let d(j) be the third derivative of m(j). Suppose d(l) = 0. Calculate l.
-2/33, 0
Suppose 3*h = 2*v, -13*v + 21 = 3*h - 8*v. Find t, given that -4*t**2 + 0*t**3 - h*t**4 - 13*t**3 - t**5 + 4*t**3 - 4*t**4 = 0.
-4, -1, 0
Let k be (-18)/(-15) - (-171)/570. Let r be (-1946)/(-84) + (-4)/6. Suppose k*v**3 - 375/2 - r*v**2 + 225/2*v = 0. Calculate v.
5
Let m(r) be the first derivative of 2*r**7/105 + 2*r**6/75 - 2*r**5/25 + 125*r - 112. Let x(c) be the first derivative of m(c). Factor x(p).
4*p**3*(p - 1)*(p + 2)/5
Let y(t) = t**2 + 15*t - 184. Suppose 2*k = -3*x - 31, k - 22*x + 17*x + 48 = 0. Let u be y(k). Factor -2 + 2/9*f**2 + u*f.
2*(f - 3)*(f + 3)/9
Let d be (8 - 12 - 1)*(-4)/10. Factor -2*t**3 + 1 - 263*t - 16 + 0*t**3 + 8*t**d + 277*t - 5.
-2*(t - 5)*(t - 1)*(t + 2)
Factor 9 - 1/4*l**3 + l - 9/4*l**2.
-(l - 2)*(l + 2)*(l + 9)/4
Let x = 1398 + -1395. Factor 0*g - 1/5*g**x + 0 + 1/5*g**2.
-g**2*(g - 1)/5
Let n(p) = 4*p - 8. Let i be n(3). Let f(g) = g**3 - 5*g**2 + 6*g - 6. Let q be f(i). Solve -3*o**4 + q*o + 4*o**4 + 52*o**3 - 3*o**4 - 54*o**3 + 2*o**2 = 0.
-1, 0, 1
Let o = 65 + -58. Suppose -4*v + o = -1. Determine d so that 0*d**v + 12*d + 2*d**2 - 9 - 9*d**2 + 4*d**2 = 0.
1, 3
Let r(c) be the second derivative of -c**7/10080 + 7*c**6/320 + 2*c**5/15 - c**4/2 + c**3/2 + 183*c. Let a(i) be the third derivative of r(i). Factor a(z).
-(z - 64)*(z + 1)/4
Suppose -20809*o**3 - 10*o**5 + 14386*o**2 + 5784*o**2 + 1725*o**4 + 11533*o**2 - 54011*o**3 + 5277*o**2 = 0. Calculate o.
0, 1/2, 86
Let n(j) be the second derivative of j**7/42 - 32*j**6/15 - 33*j**5/5 - j**4/6 + 131*j**3/6 + 33*j**2 + 73*j - 10. Factor n(o).
(o - 66)*(o - 1)*(o + 1)**3
Let y(t) = -3*t + 28. Let a be y(8). Suppose a*f = -2*f - 3*f. Let -z**3 + f*z**5 + 2*z**5 + 2*z**3 + z**4 - 2*z**3 = 0. Calculate z.
-1, 0, 1/2
Factor 185/4*v - 369/8 - 1/8*v**2.
-(v - 369)*(v - 1)/8
Let x(g) be the second derivative of g**6/150 - 17*g**5/25 + 19*g**4/3 - 248*g**3/15 - 3317*g. Solve x(m) = 0.
0, 2, 4, 62
Let j(x) be the first derivative of -x**5/15 - x**4/2 + 8*x**3/3 - 137*x**2/2 + 168. Let o(i) be the second derivative of j(i). Solve o(y) = 0.
-4, 1
Let w(m) be the first derivative of -12 + 1/5*m**5 - 1/2*m**4 - m**3 + 0*m**2 + 0*m. Determine k, given that w(k) = 0.
-1, 0, 3
Solve -668/3*m - 224 + 4/3*m**2 = 0 for m.
-1, 168
Let r(z) be the second derivative of 5*z + 0*z**2 - 2/7*z**4 + 3 + 3/140*z**5 + 8/7*z**3. Determine v so that r(v) = 0.
0, 4
Let o(t) = 8*t + 42. Let z be o(-5). Factor 148*c**2 + 0*c**3 + z*c**3 - 152*c**2.
2*c**2*(c - 2)
Suppose 4*h = -3*h + 42. Suppose -4 = -7*f + h*f. Factor -56*q + 11*q**4 - 36*q**3 + 12*q - 19*q**f - 12 - 60*q**2.
-4*(q + 1)**3*(2*q + 3)
Let r(y) be the first derivative of y**3/15 - 413*y**2/10 + 412*y/5 + 321. Solve r(d) = 0.
1, 412
Let d(b) be the first derivative of b**4/5 + 1672*b**3/5 - 2514*b**2/5 - 2008*b - 16327. Factor d(v).
4*(v - 2)*(v + 1)*(v + 1255)/5
Let r(l) = -32*l**4 + 27*l**3 - 4*l**2 - 9. Let w(n) = 18*n**4 - 15*n**3 + 2*n**2 + 5. Let g(d) = -5*r(d) - 9*w(d). Find b such that g(b) = 0.
-1, 0, 1
Let w = -124144/3 - -41382. Factor 4*d**4 + 32/3*d - 16*d**2 + 2/3*d**5 + 0 + w*d**3.
2*d*(d - 1)**2*(d + 4)**2/3
Factor 2/7*k**2 - 3092/7*k + 0.
2*k*(k - 1546)/7
Let x(d) be the first derivative of -d**3/18 + 263*d**2 - 415014*d - 3520. Factor x(m).
-(m - 1578)**2/6
Let -o**4 - 4 + 5*o**2 - 5/2*o**3 + 2*o + 1/2*o**5 = 0. Calculate o.
-2, -1, 1, 2
Let n(h) be the first derivative of h**5/70 + 5*h**4/14 - h**3/21 - 15*h**2/7 + 10*h - 34. Let k(l) be the first derivative of n(l). Factor k(w).
2*(w - 1)*(w + 1)*(w + 15)/7
Let s(v) be the third derivative of v**7/5880 - 11*v**6/840 + 3*v**5/40 - 23*v**4/12 - 2*v**2 + v. Let t(p) be the second derivative of s(p). Factor t(u).
3*(u - 21)*(u - 1)/7
Let x(o) be the first derivative of -40 - 4/27*o**3 + 1/18*o**4 + 4/9*o - 1/9*o**2. Find d such that x(d) = 0.
-1, 1, 2
Let s = 331 - 329. Determine u so that 228*u**2 + 242*u**2 + 48*u - 3*u**3 - 488*u**s = 0.
-8, 0, 2
Let m(v) = v + 33. Let k be m(-31). Factor 6*p**4 - 9*p**4 + 12*p - 12*p**3 + 65*p**2 - 47*p**k - 15.
-3*(p - 1)**2*(p + 1)*(p + 5)
Let n(g) = 7*g - 5. Let u = 82 - 81. Let o be n(u). Determine a so that -6*a**4 + a**5 + a**5 - o*a**2 - 335*a**3 + 341*a**3 = 0.
0, 1
Let o be ((-33)/9 - -4) + 49/(-3). Let s(h) = -h**3 - 17*h**2 - 17*h - 1. Let u be s(o). Factor -n**2 + 4*n**3 - u*n + 4*n**4 - n - 15*n**2.
4*n*(n - 2)*(n + 1)*(n + 2)
Let h be 1/(-2*(-2)/48). Suppose -6*z + 0*z = -h. Find i, given that 2*i**2 - 8*i + 3*i**2 + 0*i**2 - 4*i**z = 0.
0, 8
Let k(u) be the second derivative of -u**6/6 + 4*u**5 - 25*u**4/4 - 1250*u**3/3 + 1250*u**2 + 561*u + 1. Determine v, given that k(v) = 0.
-5, 1, 10
Let o be (-93)/1209 + -148*3/(-5265). Let z(y) be the third derivative of 19*y**2 + 1/270*y**6 - 1/54*y**4 + 0 + 0*y - o*y**5 + 2/27*y**3. Factor z(j).
4*(j - 1)**2*(j + 1)/9
Let r(x) = 9*x - 76. Let t be r(9). Factor 157*y - 161*y + 3 + t - 4*y**2.
-4*(y - 1)*(y + 2)
Let u be -24*(-30 - (-83127)/2772). Factor u*t**2 - 18/7 - 16/7*t.
2*(t - 9)*(t + 1)/7
Suppose -2*o = -14 - 58. Suppose 84*g = 90*g - o. Determine f so that -g*f**3 + 3/2*f**4 - 6*f + 9*f**2 + 3/2 = 0.
1
Let u(j) be the second derivative of 3*j**5/5 + j**4/4 - 89*j**3/2 + 126*j**2 - 22*j + 64. Factor u(l).
3*(l - 4)*(l - 1)*(4*l + 21)
Factor 5*q + 84*q**2 - 10016*q**4 + 39*q + 10012*q**4 + 36*q**3.
-4*q*(q - 11)*(q + 1)**2
Let k be (-1232)/462*(14/(-4) + 2/1). Let n(l) be the second derivative of 10/39*l**3 - 1/78*l**k - 25/13*l**2 + 11*l + 0. What is m in n(m) = 0?
5
Factor 15*r**3 - 465*r**2 - 12*r + 52 + 54*r - 7 - 57*r**3 + 417*r**2 + 3*r**4.
3*(r - 15)*(r - 1)*(r + 1)**2
Let c = 9/679 - 148818/8827. Let u = c + 1791/104. Factor -3/4*j**2 - 3/8*j + 0 - u*j**3.
-3*j*(j + 1)**2/8
Solve 166 + 0*l**2 + 13*l**2 + 20*l**2 - 167*l - 32*l**2 = 0.
1, 166
Let k(f) be the third derivative of 0 + 0*f + 15*f**2 + 6/5*f**3 - 2/75*f**5 + 71/60*f**4. Factor k(t).
-2*(t - 18)*(4*t + 1)/5
Let k be 4 + (-104)/24 + (650/15)/13. Suppose -11/2*c - 3 - 1/2*c**3 - k*c**2 = 0. Calculate c.
-3, -2, -1
Factor 28/15 - 4/5*x**2 - 6/5*x + 2/15*x**3.
2*(x - 7)*(x - 1)*(x + 2)/15
Let r(h) be the second derivative of h**5/70 + 29*h**4/42 - 226*h**3/21 - 80*h**2 - 49*h + 7. Find n such that r(n) = 0.
-35, -2, 8
Let y(r) = 3*r**2 - 10*r