.
-5, -1, 9
Let z be (-13)/6*(-5 - (-259)/91). Let a(p) be the second derivative of 2*p + 0 - 1/12*p**4 - 98*p**2 + z*p**3. Factor a(x).
-(x - 14)**2
Let v(g) be the first derivative of 48 + 2/15*g**3 + 32/5*g - 2*g**2. Suppose v(y) = 0. Calculate y.
2, 8
Let c = 2849 + -2845. Let g(k) be the first derivative of -34/5*k**2 - 8/5*k + 6 - c*k**3. Suppose g(u) = 0. Calculate u.
-1, -2/15
Let a = 122040 - 1339945/11. Let n = 227 - a. Let 0*z**2 + 0*z + 4/11*z**3 + 0 + 2/11*z**4 - n*z**5 = 0. What is z?
-1, 0, 2
Let a be 4*((-5)/(-10))/1. Let q be a - (-1 + 1) - 0. Factor 2*t**5 + 0*t**3 + 16*t + 6*t**2 + q*t**3 - 32*t - 6*t**4 + 12*t.
2*t*(t - 2)*(t - 1)**2*(t + 1)
Factor 233 - 469 + 3080*g + 1319*g**2 + 5*g**3 + 231*g**2 + 236.
5*g*(g + 2)*(g + 308)
Let i(q) be the second derivative of 0*q**2 - 3/2*q**3 + 1/1260*q**6 + 9*q + 0*q**4 + 0 - 1/210*q**5. Let f(l) be the second derivative of i(l). Factor f(y).
2*y*(y - 2)/7
Let o(n) be the first derivative of 4*n**3/3 + 2912*n**2 + 2119936*n + 1741. Factor o(y).
4*(y + 728)**2
Let p be ((2 + 44/(-24))*(-5 - 7))/(-12). Suppose 0 - 1/3*h + p*h**2 = 0. Calculate h.
0, 2
Let i = -141 + 184. Let 6*q**2 - i - 7*q + 43 + q**3 = 0. What is q?
-7, 0, 1
Let m(j) be the first derivative of 10/3*j**3 + 0*j + 6*j**2 + 1/2*j**4 - 47. Factor m(n).
2*n*(n + 2)*(n + 3)
Let l = 2582224/3 + -860739. Factor 1/3*v**2 + l*v + 2.
(v + 1)*(v + 6)/3
Let w(c) = c**3 + 15*c**2 + c + 17. Let u be w(-15). Solve 105*r + 50*r**2 + 20 - 120*r**2 + 47*r**2 + 48*r**u = 0 for r.
-4, -1/5
Let b(j) be the second derivative of -j**6/75 - 33*j**5/50 - 27*j - 21. Determine a, given that b(a) = 0.
-33, 0
Suppose 40 = -5*l + 5*n, -2*n + 40 = 2*n. Let 0 + 1/3*j**l + 3*j = 0. Calculate j.
-9, 0
Let g(r) be the first derivative of -84*r**5/5 + 40*r**4 + 1276*r**3/3 - 1452*r**2 - 288*r + 6478. Suppose g(x) = 0. Calculate x.
-4, -2/21, 3
Suppose -907*a + 588 = -809*a. Factor -2*r + a - 1/2*r**2.
-(r - 2)*(r + 6)/2
Suppose 2*b + 5*j - 48 = 0, 4*b - 3*j - 1 = 43. Suppose -24*t**3 + 28*t**3 - 2*t - 8*t**4 + 15*t**2 - b*t**4 - 17*t**3 - 8*t**4 = 0. What is t?
-1, 0, 1/6, 2/5
Let t(r) = r**2 - 3*r - 4. Let u = 51 - 52. Let v be t(u). Find q, given that -8/7*q**2 + 0 + 4/7*q**3 + v*q = 0.
0, 2
Let a(l) be the third derivative of 9*l**2 + 35*l**4 + 0 + 9/4*l**5 + 1/24*l**6 - l - 490/3*l**3. Factor a(z).
5*(z - 1)*(z + 14)**2
Let x(q) be the second derivative of -q**5/420 + q**4/14 - 6*q**3/7 - 49*q**2 - 79*q. Let m(l) be the first derivative of x(l). Factor m(u).
-(u - 6)**2/7
Let w(l) = 6*l**3 + 476*l**2 + 28760*l - 59532. Let v(j) = -j**3 + 2*j**2 + 8*j - 1. Let y(x) = -4*v(x) - w(x). Find z, given that y(z) = 0.
-122, 2
Let q(p) be the third derivative of -13*p**6/60 - 6*p**5/5 - 17*p**4/12 + 2*p**3 - 554*p**2. Factor q(a).
-2*(a + 1)*(a + 2)*(13*a - 3)
Let b be (504/(-108))/((-4)/(-42)). Let d be -4 - (-2 - (-224)/b). Solve 52/7*g**2 + 72/7*g + 16/7 - d*g**3 - 2*g**4 = 0 for g.
-2, -1, -2/7, 2
Suppose 194*f - 228*f - 35 + 103 = 0. Determine k so that -1/6*k**4 - 1/6*k**3 + 7/6*k**f + 1 + 13/6*k = 0.
-2, -1, 3
Find k, given that -544/3 + 134/9*k - 2/9*k**2 = 0.
16, 51
Let x(c) be the second derivative of 2/315*c**7 - 6*c + 0*c**3 + 0*c**6 + 0 + 0*c**5 - 2*c**2 + 0*c**4. Let w(o) be the first derivative of x(o). Factor w(i).
4*i**4/3
Suppose 60 = 5*o + 5*s, -267*o + 2*s - 33 = -272*o. Factor 110/3*w**o + 5/3*w**4 + 240 - 440*w + 485/3*w**2.
5*(w - 1)**2*(w + 12)**2/3
Let n(o) be the second derivative of 0*o**2 + 0 - 1/7*o**7 + 4/3*o**4 + 0*o**3 + 14/15*o**6 + 185*o - 2*o**5. Find z, given that n(z) = 0.
0, 2/3, 2
Let l(b) = -7*b**3 - 12*b + 14. Let d(x) be the second derivative of 41/2*x**2 - x**5 + 1/12*x**4 + 0 - 6*x**3 + 2*x. Let o(v) = 6*d(v) - 17*l(v). Factor o(r).
-(r - 2)**3
Let b be 0 + (-90)/(-28) + (-75)/350. Determine s so that 0 + 1/5*s**b - s - 4/5*s**2 = 0.
-1, 0, 5
Let z = -60052 - -60054. Determine v so that 2/9*v**z + 2/3*v - 8/9 = 0.
-4, 1
Let f(i) be the second derivative of 2*i**6/5 + 9*i**5/4 + 17*i**4/4 + 3*i**3 + 6*i - 220. Factor f(c).
3*c*(c + 1)*(c + 2)*(4*c + 3)
Let h(f) be the third derivative of -f**5/80 + 17*f**4/8 - 227*f**2 + 2. Factor h(a).
-3*a*(a - 68)/4
What is k in 15/2*k**5 + 6 + 36*k**4 - 45/2*k + 15*k**3 - 42*k**2 = 0?
-4, -1, 1/5, 1
Let l(k) be the second derivative of -k**7/105 + 4*k**6/75 + 7*k**5/50 - k**4/3 - 3393*k. Let l(n) = 0. Calculate n.
-2, 0, 1, 5
Suppose -5 = g, 5*b = 4*b + 3*g + 26. Suppose -3*z = -2*q - b, 2*z - 9 = -3*q + 7. Find n such that -115*n**q + 16*n - 12 + 0 + 111*n**2 = 0.
1, 3
Suppose -14*k + 228 = -24. Factor 4*t**2 - 8*t - k + 30 - 12.
4*t*(t - 2)
Let p(z) = -45*z**2 + 10440*z - 12375. Let c(f) = 5*f**2 - 1160*f + 1371. Let x(d) = -55*c(d) - 6*p(d). Factor x(y).
-5*(y - 231)*(y - 1)
Let z(l) = 8*l**2 - 1392*l + 6. Let t(s) = -3*s**2 + 6*s - 2. Let x(u) = 3*t(u) + z(u). Solve x(m) = 0.
-1374, 0
Let r(z) be the third derivative of 0*z + 0*z**3 - 1/100*z**5 + 3/200*z**6 + 2 + 1/350*z**7 - 3/40*z**4 - 42*z**2. Factor r(b).
3*b*(b - 1)*(b + 1)*(b + 3)/5
Let u(d) be the third derivative of d**7/840 - 3*d**6/80 + 3*d**5/16 + d**4/24 - 5*d**3/2 + 3094*d**2. Factor u(y).
(y - 15)*(y - 2)**2*(y + 1)/4
Let z(t) be the third derivative of -63*t**2 + 0 - 1/150*t**5 + 0*t**4 + 1/900*t**6 + 0*t + 4/45*t**3. Factor z(i).
2*(i - 2)**2*(i + 1)/15
Let s be -2 - (-14 + 60/10). Suppose -s*d + d + 14 = 2*m, -2*m - 3*d = -10. Suppose -56/13*v - 68/13*v**m + 16/13 - 18/13*v**3 = 0. What is v?
-2, 2/9
Let n = -122 - -124. Let m(k) = 12*k**n - 4*k**3 + 5 + 15*k + 0*k**3 + 9. Let h(w) = 5*w**3 - 13*w**2 - 15*w - 15. Let z(o) = -5*h(o) - 6*m(o). Factor z(q).
-(q + 1)*(q + 3)**2
Suppose -75329*q + 112 + 37710*q - 4*q**3 + 37779*q - 26*q**2 + 70*q**2 = 0. Calculate q.
-2, -1, 14
Let z(c) be the second derivative of -c**7/420 + c**6/45 + 7*c**5/15 + 8*c**4/3 + 3*c**3/2 + 46*c. Let k(t) be the second derivative of z(t). Factor k(h).
-2*(h - 8)*(h + 2)**2
Let b = 98164/441657 + -2/49073. Factor -10/9 + 2/9*k**3 + 10/9*k**2 - b*k.
2*(k - 1)*(k + 1)*(k + 5)/9
Let v = -7513 - -37567/5. Let r(n) be the second derivative of -v*n**6 - 3/5*n**5 - 1/3*n**4 + n - 2/21*n**7 + 0*n**3 + 0 + 0*n**2. Let r(i) = 0. Calculate i.
-1, 0
Let v be (-406)/35*((-125)/(-10) + -14) - 15. Suppose 5*u**3 - 56/5*u + 11*u**2 + v = 0. Calculate u.
-3, 2/5
Let b(y) be the first derivative of -3/4*y**4 + 3/10*y**6 + 0*y**2 - y**3 + 8 + 3/10*y**5 + 13*y. Let m(n) be the first derivative of b(n). Factor m(t).
3*t*(t - 1)*(t + 1)*(3*t + 2)
Let t(r) be the second derivative of -r**7/21 - r**6/3 + r**5/5 + 14*r**4/3 + 8*r**3/3 - 32*r**2 - 723*r. Suppose t(k) = 0. What is k?
-4, -2, 1, 2
Find r, given that -136*r + 229*r**2 - 350*r**3 + 349*r**3 - 319*r + 227 = 0.
1, 227
Let v(d) be the third derivative of d**7/315 + d**6/360 - d**5/36 + d**4/36 + d**2 + 26*d - 19. Factor v(a).
a*(a - 1)*(a + 2)*(2*a - 1)/3
Let r(x) be the second derivative of x**6/120 + 33*x**5/80 + 21*x**4/16 + 31*x**3/24 + 6293*x. Factor r(w).
w*(w + 1)**2*(w + 31)/4
Let x(r) be the second derivative of r**6/6 - 517*r**5 + 1336445*r**4/2 - 1381884130*r**3/3 + 357217047605*r**2/2 - 1240*r - 2. Factor x(b).
5*(b - 517)**4
Let k be 15/18 - (-1)/(-3). Let r(v) be the third derivative of 1/20*v**5 + k*v**3 + 0*v - 1/4*v**4 - 4*v**2 + 0. Factor r(c).
3*(c - 1)**2
Let y(j) = -7*j**2 + 22*j - 19. Let s be (-1 + 3)/(-5 + 1 - -6). Let d(a) = -a**3 + a**2 + a - 1. Let b(r) = s*d(r) - y(r). Factor b(t).
-(t - 3)**2*(t - 2)
Let a(y) be the second derivative of 1/4*y**4 + 0 + 208*y + 38*y**3 + 2166*y**2. Factor a(o).
3*(o + 38)**2
Suppose -326*q = 110*q - 116*q. Let 2/11*i**3 + q - 6/11*i - 4/11*i**2 = 0. Calculate i.
-1, 0, 3
Let d(i) be the third derivative of 6 + 0*i - 2/15*i**4 + 0*i**3 + 29/200*i**6 + 1/30*i**7 - 3*i**2 + 2/15*i**5 + 1/420*i**8. Solve d(r) = 0.
-4, -1, 0, 1/4
Let x(v) be the third derivative of -19/60*v**6 - 4/3*v**4 + 4/3*v**3 + 0 - 1/168*v**8 + 1/15*v**7 + 87*v**2 + v + 5/6*v**5. Let x(p) = 0. Calculate p.
1, 2
Factor 2429/2*b**2 + 1/2*b**3 + 738112*b + 736898.
(b + 1)*(b + 1214)**2/2
Let u(a) be the second derivative of -a**5/160 + 13*a**4/96 - a**3/8 - 9*a**2/2 + 1028*a. Determine w, given that u(w) = 0.
-2, 3, 12
Let l = -703034 + 3515172/5. Factor -l*k**2 + 0*k + 2