+ 241)/3
Let t(v) = 8*v - 230. Let k be t(29). Factor 14*y**4 - 270*y + 103*y**2 - 43*y**3 + 96*y**k - 79*y**3 - 86 - 22 + 143*y**2.
2*(y - 3)**3*(7*y + 2)
Let h be (152/(-304))/((-630)/4). Let w(n) be the third derivative of 0*n - h*n**7 - 1/12*n**4 + 3*n**2 + 1/90*n**5 + 1/60*n**6 + 0 + 0*n**3. Factor w(k).
-2*k*(k - 3)*(k - 1)*(k + 1)/3
Let f(u) be the second derivative of 0 + 4/3*u**3 + 3/5*u**5 + 5*u**2 + 25*u - 11/6*u**4. Let k(v) be the first derivative of f(v). Factor k(l).
4*(l - 1)*(9*l - 2)
Let d(a) = -2*a**2 + 127*a - 1922. Let c(u) = -14*u**2 + 890*u - 13454. Let p(f) = 3*f**2 - 15*f - 6. Let r be p(5). Let z(x) = r*c(x) + 44*d(x). Factor z(y).
-4*(y - 31)**2
Let b(p) be the third derivative of -9*p**7/175 - 789*p**6/50 - 70213*p**5/50 - 22881*p**4/5 - 30276*p**3/5 + 52*p**2 - 3*p. Factor b(t).
-6*(t + 87)**2*(3*t + 2)**2/5
Solve 97/2*r**3 + 9/4*r**4 - r**5 - 95/2*r - 57/4*r**2 + 12 = 0 for r.
-6, -1, 1/4, 1, 8
Let b be (-16)/(-264)*3 - (-20 + 26486/1683). Find i, given that 32/9*i**3 - 76/9 + 2/9*i**5 + 116/9*i**2 - b*i**4 - 34/9*i = 0.
-1, 1, 2, 19
Let q be -1409 + 1397 - (-1 - 389/33). Let a(z) be the first derivative of -3/11*z**4 - 8/11*z - q*z**3 + 29 - 2/55*z**5 - 12/11*z**2. Solve a(s) = 0 for s.
-2, -1
Let c = 451/8145 - -1/5430. Let b(q) be the first derivative of -14/27*q**3 + c*q**4 - 23 + 5/3*q**2 - 2*q. Factor b(s).
2*(s - 3)**2*(s - 1)/9
Solve 4*b**2 - 673485 + 96*b + 673665 - 40*b = 0 for b.
-9, -5
Let i(d) be the third derivative of -d**7/4410 + d**6/420 - d**5/105 - 37*d**4/24 - d**3/6 + 5*d**2 + 1. Let x(v) be the second derivative of i(v). Factor x(f).
-4*(f - 2)*(f - 1)/7
Suppose 4*t - 2*y - 290 = -272, -4*y = 20. Factor 114/5*m + 1/5*m**t + 3249/5.
(m + 57)**2/5
Let q(g) be the third derivative of 3/20*g**5 + 0*g + 27*g**2 - 25/6*g**3 + 9/4*g**4 + 0 + 1/240*g**6. Let r(t) be the first derivative of q(t). Factor r(w).
3*(w + 6)**2/2
Let b be (854/4)/((-672)/(-3456)*99). Factor b*v - 378/11*v**2 - 4/11.
-2*(7*v - 2)*(27*v - 1)/11
Let l = -204353 - -204357. Find u, given that -1/4*u**l + 0*u + 0 + 1/2*u**2 - 1/4*u**3 = 0.
-2, 0, 1
What is r in 728/3*r - 818/3*r**2 + 88/3*r**3 + 0 + 2/3*r**4 = 0?
-52, 0, 1, 7
Let i = -289 + 361. Find t, given that -i + 7*t**2 - t**3 - 6*t + 72 = 0.
0, 1, 6
Factor -31*j**4 - 93*j**3 - 145*j**3 - 1016*j**5 - 65*j**2 + 1018*j**5 - 55*j**2 - 85*j**4.
2*j**2*(j - 60)*(j + 1)**2
Let h(b) be the third derivative of b**8/504 + b**7/15 + 83*b**6/180 + 43*b**5/90 - 7*b**4/3 - 64*b**3/9 - 3*b**2 - 134*b + 1. Determine u, given that h(u) = 0.
-16, -4, -1, 1
Let g = 88907/25394 - 14/12697. Determine d, given that -6 - 1/4*d**2 - g*d = 0.
-12, -2
Let k(x) be the first derivative of -2*x**3/9 - 2080*x**2/3 - 2163200*x/3 - 556. Suppose k(h) = 0. What is h?
-1040
Let f(w) be the first derivative of -1/12*w**6 - 11/4*w**4 + 37 + 0*w - 14/15*w**5 + 6*w**3 + 15/2*w**2. Let d(j) be the second derivative of f(j). Factor d(c).
-2*(c + 3)**2*(5*c - 2)
Let i = -2190/29 + 11066/145. What is f in -42/5*f - 18*f**3 + 128/5*f**2 + i = 0?
1/5, 2/9, 1
Let j(t) = -6*t**3 + 228*t**2 - 526*t + 240. Let k(q) = -5*q**3 + 228*q**2 - 525*q + 256. Let w(m) = -3*j(m) + 2*k(m). Factor w(g).
4*(g - 26)*(g - 2)*(2*g - 1)
Let g(w) be the third derivative of -w**5/300 + 22*w**4/15 - 58*w**3/5 - 34*w**2 - 42. Solve g(l) = 0.
2, 174
Let p = -218 - -224. Determine y so that -1 + p*y + 4*y - 5*y**2 + 4*y - 4*y - 4 = 0.
1
Let k(v) be the second derivative of -9*v**5/100 + 31*v**4/20 - 77*v**3/10 + 147*v**2/10 - 102*v - 1. Factor k(o).
-3*(o - 7)*(o - 1)*(3*o - 7)/5
Let d(t) be the third derivative of -t**6/120 + 31*t**5/20 - 961*t**4/8 - 31*t**3/2 - 2*t**2 - 26. Let v(l) be the first derivative of d(l). Factor v(z).
-3*(z - 31)**2
Let r = 518 + -499. Suppose r = 3*d + j, 17*d - 29 = 12*d - j. Determine o so that -2*o**d - 2/3 + 14/3*o**4 + 10/3*o - 4/3*o**3 - 4*o**2 = 0.
-1, 1/3, 1
Let 426*s**3 + 3 + 35269*s**2 + 284*s**3 - 3 - 400*s**4 - 30*s - 35414*s**2 = 0. Calculate s.
-1/8, 0, 2/5, 3/2
Let a(z) be the first derivative of -z**6/4 + 6*z**5/5 - 9*z**4/4 + 2*z**3 - 3*z**2/4 - 6075. Factor a(f).
-3*f*(f - 1)**4/2
Let c(a) be the second derivative of -a**5/20 - 23*a**4 + 561*a**3/2 - 1269*a**2 + 1152*a. Determine s so that c(s) = 0.
-282, 3
Let h(c) be the third derivative of 5*c**7/21 - 29*c**6/24 - 18*c**5/5 - 17*c**4/24 + 2*c**3/3 + 1573*c**2. Suppose h(p) = 0. Calculate p.
-1, -1/5, 1/10, 4
Let t(r) = r**2 + r. Let j(d) = 12*d**2 + 18*d + 6. Let x = 210 + -190. Let p(k) = x*t(k) - 2*j(k). Determine n, given that p(n) = 0.
-3, -1
Factor 138*q**5 + 2404*q**3 + 124*q**5 - 176*q**4 - 258*q**5 - 11552 + 18544*q - 10520*q**2.
4*(q - 19)**2*(q - 2)**3
Let y(a) be the third derivative of 41/30*a**5 - 2/5*a**6 + 0*a - 4*a**2 + 1/21*a**7 + 8/3*a**3 - 1 - 5/2*a**4. Find o such that y(o) = 0.
4/5, 1, 2
Let r(h) = 11*h + 123. Let s be r(-11). Let m be 0/(38/10 - (-44)/220). Factor -c - 1/2*c**s + m.
-c*(c + 2)/2
Let n(z) be the second derivative of -z**4/30 + 638*z**3/15 - 101761*z**2/5 - 4035*z. Factor n(g).
-2*(g - 319)**2/5
Let c(z) = -z**2 + 5*z + 11. Suppose -2*k + 9 = g, 3*g = -k + 6*k - 6. Let x(b) = -b**2 + 5*b + 12. Let r(w) = k*x(w) - 2*c(w). Factor r(d).
-(d - 7)*(d + 2)
Suppose -3*r - 10*d + 11*d = -95, 4*r - 115 = -d. Suppose 301*f - r = 291*f. Suppose 0 + 2/21*h**f - 4/21*h**4 + 0*h**2 + 2/21*h**5 + 0*h = 0. Calculate h.
0, 1
Let x(u) be the second derivative of u**6/6 + 9*u**5/4 - 155*u**4/6 + 90*u**3 - 140*u**2 - 8702*u. Suppose x(m) = 0. What is m?
-14, 1, 2
Suppose 170*j**4 - 56*j - 4*j + 46*j**3 + 9*j**5 + 40 - 210*j**2 + 28*j**5 - 28*j + 5*j**5 = 0. Calculate j.
-10/3, -1, 2/7, 1
Find f such that -3/7*f**3 - 7344*f + 277440/7 - 801/7*f**2 = 0.
-136, 5
Let u be (-5 - -1) + 22 + -45. Let k = u - -31. Suppose -y**2 - 2*y**3 + 2*y**4 + 0*y**4 + y - y**k + y = 0. What is y?
-1, 0, 1, 2
Suppose -51*l = 30*l. Let y(w) be the third derivative of 3/8*w**4 + 1/120*w**6 + 1/10*w**5 + 0*w + 0*w**3 + l + 7*w**2. Factor y(b).
b*(b + 3)**2
Let o(i) be the third derivative of i**5/30 - 95*i**4/6 - 776*i**3/3 + 17*i**2 - 28*i - 2. Determine t so that o(t) = 0.
-4, 194
Factor 0 - 1160*j - 5/2*j**3 - 165*j**2.
-5*j*(j + 8)*(j + 58)/2
Let r(u) = -3*u**2 - 194*u + 463. Let v(d) = -55*d**2 - 3310*d + 7870. Let h(c) = 35*r(c) - 2*v(c). Find a, given that h(a) = 0.
3, 31
Let q(i) be the second derivative of -1/40*i**5 + 3 - 2*i**2 - i + 1/2*i**3 + 1/8*i**4. Factor q(a).
-(a - 4)*(a - 1)*(a + 2)/2
Determine s so that 8/13*s**5 + 168/13*s + 0 + 646/13*s**3 + 824/13*s**2 + 154/13*s**4 = 0.
-14, -3, -2, -1/4, 0
Suppose 15*i + 2 = -5*m + 16*i, 0 = 3*m + 3*i - 6. Let p = 22 + -19. Let m + 0*r**2 - 6/7*r**p - 2/7*r**4 + 8/7*r = 0. Calculate r.
-2, 0, 1
Suppose 133*r - 15 - 28 = 223. Let b(n) be the second derivative of 23/66*n**4 + 3 - 7/11*n**r - 9*n - 13/33*n**3 - 3/110*n**5. Solve b(a) = 0.
-1/3, 1, 7
Let u(t) be the first derivative of -5/4*t**4 + 8/5*t**5 - 11/3*t**3 + 5/2*t**2 + 145 + 3*t. Factor u(o).
(o - 1)**2*(o + 1)*(8*o + 3)
Find y such that -40*y**2 - 116/3*y**4 - 2/3*y**5 + 0 + 238/3*y**3 + 0*y = 0.
-60, 0, 1
Let v(s) = -29*s + 4. Let u be v(-1). Suppose -15 = -6*y + u. Factor -4*z**2 - 8 - 1 + y*z**3 - 20*z + 1.
4*(z - 2)*(z + 1)*(2*z + 1)
Let c(h) = 58*h**2 + 1691*h + 1633. Let b(f) = 3*f**2 + 89*f + 86. Let k(j) = -78*b(j) + 4*c(j). Determine g so that k(g) = 0.
-88, -1
Let h be ((-91)/24)/(-7) + -15*8/(-960). Let f(r) be the first derivative of 0*r + 25 - h*r**3 + 3*r**2. Solve f(n) = 0.
0, 3
Let m(f) = 12917*f - 129168. Let i be m(10). Suppose -20*b**4 + 5/3*b**5 - 30*b**i + 0 + 0*b + 145/3*b**3 = 0. Calculate b.
0, 1, 2, 9
Let t = -854 - -2645/3. Let y = t - 157/6. Determine d so that 9*d + 27/2 + y*d**2 = 0.
-3
Let t(i) be the third derivative of i**7/70 - 37*i**6/40 - 126*i**5/5 + 5535*i**4/2 - 10800*i**3 + 1668*i**2. Solve t(z) = 0.
-24, 1, 30
Suppose 15*z = 18*z + 5*o + 1, 2*z - 5*o - 16 = 0. Factor 55/4*k**2 + 21/4*k**3 - z - 7*k.
(k + 3)*(3*k - 2)*(7*k + 2)/4
Suppose -34*n = -44*n + 20. Factor 2*l**2 + 10*l**2 - 7*l**2 - 4*l**n - 56*l + 784.
(l - 28)**2
Let c(m) be the first derivative of -11*m**3/3 - 39*m**2/2 - 28*m + 20. Let d(q) = 10*q**2 + 38*q + 28. Let n(v) = -6*c(v) - 7*d(v). Solve n(p) = 0.
-7, -1
Suppose 64 