- 8 = 2*i + f, 0 = 4*i + f - 22. Suppose -i*o = s - 15, -2*o + 29 = -o - 5*s. Factor -q**3 + 0 - 1/3*q**o - 2/3*q + 5/3*q**2 + 1/3*q**5.
q*(q - 1)**3*(q + 2)/3
Let y(s) be the second derivative of -7/12*s**4 + 17/6*s**3 - 44*s + 0 - 1/20*s**5 - 9/2*s**2. Let y(k) = 0. Calculate k.
-9, 1
Determine s, given that s**2 + 29*s - 525 - 29*s + 108*s**3 + 118*s + 22*s**4 + 555 - 2*s**5 + 171*s**2 = 0.
-1, 15
Let s(f) be the third derivative of -f**6/288 + f**5/12 + 25*f**4/24 - 16*f**3/3 - 259*f**2. Let a(g) be the first derivative of s(g). Factor a(l).
-5*(l - 10)*(l + 2)/4
Let k(d) be the second derivative of -d**5/4 + 25*d**4/4 - 95*d**3/3 + 60*d**2 - 5*d + 11. Let k(l) = 0. Calculate l.
1, 2, 12
Let o(n) be the second derivative of 0*n**3 - 1/5*n**5 + 6*n + 0*n**2 - 3 - 2/3*n**4. Factor o(w).
-4*w**2*(w + 2)
Let l(w) be the first derivative of 8*w**6/135 - 4*w**5/5 + 13*w**4/3 - 12*w**3 + 18*w**2 + 38*w - 30. Let h(r) be the first derivative of l(r). Factor h(f).
4*(f - 3)**2*(2*f - 3)**2/9
Factor -48/7*x**3 + 115/7*x**2 + 102*x - 1800/7 - 1/7*x**4.
-(x - 3)**2*(x + 4)*(x + 50)/7
Suppose 0 = g - 37 + 104. Let m = g + 79. Determine b, given that 6*b + 5*b - m*b - 3*b**2 + 7*b = 0.
0, 2
Find l such that 0 - 10/9*l**4 + 50/9*l**2 - 4/3*l + 52/9*l**3 = 0.
-1, 0, 1/5, 6
Determine c so that c**2 - 23*c**2 - 8*c**2 + 16388 + 51*c**2 + 52779*c - 1310 = 0.
-2513, -2/7
Let g(j) = j**2 - 8*j + 19. Let w(c) = 6*c**2 - 48*c + 113. Let n(x) = 14*x - 148. Let b be n(13). Let z(p) = b*g(p) - 6*w(p). Factor z(r).
-2*(r - 4)**2
Let m be (-6 + 1834/308)*502/3. Let d = -80/11 - m. Let 0*x**2 + 1/6*x**4 - d*x**3 - 1/6 + 1/3*x = 0. What is x?
-1, 1
Let v be (-6)/21 + ((-88020)/(-42))/6. Let a = -1043/3 + v. Factor a - 1/3*l**2 + 0*l.
-(l - 2)*(l + 2)/3
Let k(z) be the third derivative of z**4/8 + 2*z**3 + 19*z**2. Let m be k(-3). Determine v so that -3*v**4 + v**4 - 26*v**2 + 2*v**m + 26*v**2 = 0.
0, 1
Let u(s) be the first derivative of -s**6/21 + 74*s**5/35 - 15*s**4/2 + 206*s**3/21 - 34*s**2/7 - 605. Factor u(k).
-2*k*(k - 34)*(k - 1)**3/7
Let k = 383561/45 - 8523. Let f = 4/5 - k. Factor 16/9*m**2 - 14/3*m + 4 - f*m**3.
-2*(m - 3)**2*(m - 2)/9
Suppose 0 = -6360*p + 6368*p. Let l(x) be the third derivative of -7/4*x**4 - 49/2*x**3 + p - 1/20*x**5 + 19*x**2 + 0*x. Suppose l(n) = 0. What is n?
-7
Suppose 212 = a - 2*y + 193, 2*a - 8*y = 70. Let i(d) be the first derivative of 5 - 12/7*d - 2/21*d**a - d**2. Solve i(q) = 0.
-6, -1
Let s(b) be the first derivative of -b**4/20 - b**3/15 + 242*b**2/5 + 484*b/5 + 5013. What is y in s(y) = 0?
-22, -1, 22
Find x, given that 80/11 + 480/11*x**2 + 163/11*x**3 + 7/11*x**4 + 404/11*x = 0.
-20, -2, -1, -2/7
Let l(k) be the first derivative of -k**6/9 - 178*k**5/15 - 2255*k**4/6 - 23534*k**3/9 - 11291. Solve l(g) = 0.
-41, -7, 0
Let p(s) be the third derivative of 0 + 35/72*s**4 + 28*s + 0*s**3 + 2*s**2 - 1/36*s**5. Determine q so that p(q) = 0.
0, 7
Let t be (-73872)/936 + 79 - (1 + (-258)/195). Determine g so that -t*g**2 + 2/3*g**4 - 12/5*g**3 + 64/15*g + 8/5 = 0.
-1, -2/5, 2, 3
Let z(t) be the first derivative of 3*t**5/20 - 69*t**4/16 + 5*t**3 + 33*t**2/2 + 5662. Factor z(u).
3*u*(u - 22)*(u - 2)*(u + 1)/4
Let a(r) be the second derivative of -r**7/7560 + r**6/432 - 16*r**4/3 - r**3/6 + 4*r + 1. Let g(o) be the third derivative of a(o). Factor g(m).
-m*(m - 5)/3
Let c be ((-1212)/1010)/((-2)/20*6). Solve 0 + 6/11*l**3 - 8/11*l + 2/11*l**5 + 10/11*l**c - 10/11*l**4 = 0.
-1, 0, 1, 4
Let w = 572 + -556. Let f(l) be the third derivative of 1/30*l**6 - 8/3*l**3 + w*l**2 + 0 - 1/3*l**5 + 0*l + 4/3*l**4. Suppose f(q) = 0. What is q?
1, 2
Let w = 141 - -233. Determine u, given that -4*u**3 - w*u - 68*u**2 + 84*u - 60 + 166*u = 0.
-15, -1
Find l, given that 35131 + 8*l**2 - 148*l - 34987 - 4*l**2 = 0.
1, 36
Let k(w) be the second derivative of w**5/5 - 37*w**4/6 + 200*w**3/3 - 336*w**2 - 7919*w. Let k(v) = 0. Calculate v.
4, 21/2
Let h(r) be the third derivative of -51*r**5/140 - r**4/84 - 39*r**2 - 4. Factor h(p).
-p*(153*p + 2)/7
Let m(y) = 4*y**3 + 701*y**2 + 873*y + 527. Let c be m(-174). Find u, given that -13/3*u**3 - 1/3*u**c - 3*u**2 + 14/3*u + 0 + 3*u**4 = 0.
-1, 0, 1, 2, 7
Suppose 3*o - 5 = 73. Suppose -2 = -14*l + o. Factor 0*p**2 - 7*p - 9*p - 5*p**l + 6*p.
-5*p*(p + 2)
Let k(z) be the third derivative of 0 - 1/1470*z**7 - 1/2352*z**8 - 2/21*z**4 + 1/70*z**6 - 3*z**2 - 1/105*z**5 + 3*z + 0*z**3. Determine a so that k(a) = 0.
-4, -1, 0, 2
Let r(h) be the third derivative of h**5/60 - 53*h**2 + h. Let s(w) = 6*w**2 - 6*w - 9. Let v(p) = 3*r(p) - s(p). Solve v(f) = 0.
-1, 3
Suppose -11808*x = -11812*x + 4*j + 40, x + 11 = -2*j. Solve -7/3*z - 5/3*z**x - 3*z**2 - 2/3 - 1/3*z**4 = 0 for z.
-2, -1
Suppose 5*g - 3*g + 303 = o, 3*g + 1522 = 5*o. Suppose o*v - 295*v = 20. Find x, given that 24/5*x - 4 - 4/5*x**v = 0.
1, 5
Let l(n) = 5*n**3 - n**2 + n - 1. Let i be l(1). Suppose -1350 = -7*z + 2*z. Factor 119 + 6*f**4 + 16 - f**i - z*f + 180*f**2 - 50*f**3.
5*(f - 3)**3*(f - 1)
Let l(u) be the first derivative of -15*u**4/4 + 16132*u**3 - 39045891*u**2/2 + 15610614*u - 2942. Factor l(f).
-3*(f - 1613)**2*(5*f - 2)
Let t(b) = b + 5. Let i be t(-3). Suppose q - 5*a = 9, 4*a = 9*q - 12*q + 8. Solve q*x**4 + i*x - 2*x - 4 + x**3 + 7*x**3 - 8*x = 0 for x.
-1, 1
Let b = -1093/1575 - -44/63. Let o(i) be the second derivative of -1/30*i**4 + 0 + 0*i**3 + 0*i**2 + b*i**6 - 15*i - 1/75*i**5. Let o(h) = 0. What is h?
-1, 0, 3
Factor -1/2*g**2 + 11*g + 84.
-(g - 28)*(g + 6)/2
Let d(w) = w**2 + 23*w + 111. Let g be d(-14). Let n be g/6 - 7/((-14)/10). Solve 5/2 - 5/2*t**3 + 5/2*t - n*t**2 = 0.
-1, 1
Let z = 4529/870 - 150/29. Let a(t) be the third derivative of -z*t**6 - 2/105*t**7 + 1/15*t**5 + 1/6*t**4 + 11*t**2 + 0*t + 0 + 0*t**3. Factor a(h).
-4*h*(h - 1)*(h + 1)**2
Let f(i) be the third derivative of -10240/3*i**4 - 8/3*i**6 + 163840/3*i**3 + i**2 + 0 + 128*i**5 + 4*i + 1/42*i**7. Factor f(y).
5*(y - 16)**4
Let v(q) be the second derivative of -q**5/80 - 39*q**4/4 - 4563*q**3/2 - 7771*q. Factor v(o).
-o*(o + 234)**2/4
Let z = 265 - 263. Factor 39*g - 11*g + 952*g**z + 48 - 478*g**2 - 470*g**2.
4*(g + 3)*(g + 4)
Let h = 6623/4035 - -34/1345. Determine y so that 40/3 - 35/3*y - h*y**2 = 0.
-8, 1
Let g = 8 + 17. Suppose 4*j - 11 - 15 = -5*m, -5*j = 3*m - 13. What is k in -29 - 3*k**2 - g*k - 2*k**2 - 7 + m = 0?
-3, -2
Let k(f) be the second derivative of -f**4/4 + 9*f**3/2 + 105*f**2 + 3*f - 35. Factor k(w).
-3*(w - 14)*(w + 5)
Determine q so that 39/2*q**2 + 1/4*q**5 + 3*q**4 + 10*q + 49/4*q**3 + 0 = 0.
-5, -4, -2, -1, 0
Let g(r) be the first derivative of r**4 + 1016*r**3 + 387096*r**2 + 65548256*r + 2624. Suppose g(u) = 0. What is u?
-254
Let j(d) be the second derivative of 0 - 1/36*d**6 + 0*d**2 + 5/24*d**5 + 5/9*d**3 - 5/9*d**4 + 3*d. Factor j(m).
-5*m*(m - 2)**2*(m - 1)/6
Let d(o) = 225*o**3 + 2*o**2 - 1. Let y be d(1). Suppose -2*f = -4*j + 4, -21*j + 4*f = -26*j + 18. Factor 2*a**j - 11 - 238*a - 3 + y*a.
2*(a - 7)*(a + 1)
Let x(q) be the third derivative of q**6/120 + q**5/60 + 3*q**2 - 36*q. What is o in x(o) = 0?
-1, 0
Solve 158*m**2 - 68*m**4 + 396*m**2 + 128*m - 18 - 78*m**4 + 34*m**4 - 118*m**3 - 434*m = 0.
-3, -3/56, 1
Factor 119/3*y + 5*y**2 + 38/3.
(3*y + 1)*(5*y + 38)/3
Suppose 4246 = 4269*z - 2146*z. What is q in 3/2*q**z - 15/2 - 6*q = 0?
-1, 5
Let i(b) be the first derivative of -2*b**6/3 - 80*b**5 + 101*b**4 - 1914. Factor i(v).
-4*v**3*(v - 1)*(v + 101)
Suppose -n + 265 = -4*n + 2*b, -5*n - 435 = -5*b. Let w be ((-6)/26)/(7/n). Determine k so that -3/2*k**4 + 1/2*k**5 + k**2 - 3/2*k + k**w + 1/2 = 0.
-1, 1
Let m(h) be the first derivative of h**3 + 99*h**2 + 2967*h + 7564. Find a such that m(a) = 0.
-43, -23
Let c(s) be the third derivative of s**8/84 - 2*s**7/35 - 13*s**6/6 - 19*s**5/5 + 32*s**4/3 + 40*s**3 - 3348*s**2. Let c(h) = 0. What is h?
-6, -1, 1, 10
Suppose 4*a - 2*x = 28, 0 = -3*x + 1 - 13. Let p be (-4 - (-43)/a) + -4. Let 0 + 0*r - 3/5*r**3 + 3/5*r**5 + 3/5*r**4 - p*r**2 = 0. What is r?
-1, 0, 1
Find x, given that -222*x**3 + 36 - 96*x**2 - 61*x - 6*x + 12*x**5 - 102*x**4 + 75*x**4 - 183*x**2 + 7*x = 0.
-2, -1, 1/4, 6
Let i(w) = 3*w**3 + 78*w**2 - 18*w - 23. Let c(r) = 2*r**3 + 39*r**2 - 2*r - 11. Let a