e of 1/6*q**4 - 13 + 5/3*q**2 - 8/9*q**3 - 4/3*q. Factor k(d).
2*(d - 2)*(d - 1)**2/3
Let j(v) be the first derivative of -2*v**3/39 + 12*v**2/13 - 40*v/13 + 44. Suppose j(l) = 0. Calculate l.
2, 10
Let z(t) = t**2 - 2*t + 4. Let w be z(0). Let b(m) be the second derivative of 0 - 3*m + 1/72*m**w + 1/9*m**3 + 1/4*m**2. Find l such that b(l) = 0.
-3, -1
Let 30*c**5 + 14*c**4 - 96*c**4 + 96*c - 212*c**2 - 26*c**4 - 10*c**5 - 16 + 220*c**3 = 0. Calculate c.
2/5, 1, 2
Let v(c) be the second derivative of 5*c**7/189 + 4*c**6/45 - 8*c**5/45 - c**4/3 + 11*c**3/27 + 2*c**2/3 + 14*c + 3. Solve v(l) = 0.
-3, -1, -2/5, 1
Let p(d) be the third derivative of d**7/3780 - d**6/720 + d**5/360 - 17*d**4/12 - 11*d**2. Let c(n) be the second derivative of p(n). Solve c(m) = 0.
1/2, 1
Let t be 3762/741 + 5*-1. Let n(c) be the first derivative of -t*c**2 + 1/26*c**4 - 2/13*c - 11 + 2/39*c**3. Factor n(w).
2*(w - 1)*(w + 1)**2/13
Let g = 4 - -26. Let z be 0/1 + 15/g. Factor -z*d - 1/4*d**2 - 1/4.
-(d + 1)**2/4
Factor 0 + 3 + 313*v - 315*v + 2*v**2 - 7.
2*(v - 2)*(v + 1)
Let c(r) be the third derivative of -r**7/70 + r**6/10 - 3*r**5/20 - r**4/2 + 2*r**3 - 9*r**2 - 7*r. Let c(m) = 0. What is m?
-1, 1, 2
Solve 0*y + 2/11*y**4 + 0 + 28/11*y**3 - 30/11*y**2 = 0.
-15, 0, 1
Let f = -6131/6 + 1022. Solve -1/6*o - f*o**5 + 0 + 1/3*o**3 + 0*o**4 + 0*o**2 = 0 for o.
-1, 0, 1
Factor 2*d**4 - 1303*d**2 + 2*d**4 + 1299*d**2.
4*d**2*(d - 1)*(d + 1)
Solve 37*o + 400 - 12*o**2 + 8*o**2 + 8*o**2 + 43*o = 0.
-10
Let a(l) be the third derivative of l**8/112 + 3*l**7/35 + 13*l**6/40 + 3*l**5/5 + l**4/2 + 23*l**2 + 2*l. Factor a(b).
3*b*(b + 1)**2*(b + 2)**2
Suppose -1/5*w**3 + 1/5*w**2 + w + 3/5 = 0. Calculate w.
-1, 3
Factor -13/3*k**3 - 169/6*k**2 - 1/6*k**4 + 0 + 0*k.
-k**2*(k + 13)**2/6
Let u = -28074 + 84223/3. Factor -1/6*f - 1/3 + u*f**2 + 1/6*f**3.
(f - 1)*(f + 1)*(f + 2)/6
Suppose -2*d = -5*k + 3*d + 30, -4*k - d = -9. Factor 11*u**3 + 5*u**3 + 3 + 3*u**4 + 18*u**2 + 12*u - 4*u**k.
3*(u + 1)**4
Let v(r) = -3*r**2 + 12*r. Let m = -9 + 12. Suppose -3*q + 1 = 2*i - 0, m*i = 6. Let u(z) = 1. Let y(f) = q*v(f) + 12*u(f). Solve y(h) = 0 for h.
2
Let d be (3/6*2)/(2/2). Let k(u) = -u**2 + u. Let c be k(d). Find n such that 0 + 0*n**2 + 0*n - 1/6*n**5 + 1/6*n**4 + c*n**3 = 0.
0, 1
Suppose 0 = -4*g + 3*s - s + 362, 2*s - 88 = -g. Let 2*z**2 + g*z + 81*z - 12 - 159*z - 5*z**2 = 0. What is z?
2
Let b(f) = -2*f - 2. Suppose -9*i = -5*i - 8. Let o be b(i). Let u(q) = 6*q**2 - 41*q + 1. Let s(v) = -2*v**2 + 14*v. Let p(t) = o*u(t) - 17*s(t). Factor p(z).
-2*(z - 3)*(z - 1)
Solve -49*s + 104*s - 167*s - 4*s**4 + 60*s**3 - 48*s**2 = 0 for s.
-1, 0, 2, 14
Let s be (-3 - -2)*(0 - 5). Let u be (-1 + 3)/(4/12). Factor 12*a**2 - 27*a - a + 7 + u - s.
4*(a - 2)*(3*a - 1)
Let i(n) be the first derivative of n**5/5 + n**4 + n**3 - 2*n**2 - 4*n - 358. Solve i(l) = 0.
-2, -1, 1
Suppose 3481 - 3457 = 8*o. Determine u, given that -3/4*u**o - 9/4*u + 3/4 + 9/4*u**2 = 0.
1
Let p(a) be the second derivative of a**6/40 - 9*a**5/80 + a**3/2 - 9*a - 1. Factor p(l).
3*l*(l - 2)**2*(l + 1)/4
Let s(j) be the first derivative of j**5/30 - j**4/9 + j**3/9 + 13*j + 4. Let y(o) be the first derivative of s(o). Find x such that y(x) = 0.
0, 1
Let f(z) = 131*z**4 + 160*z**3 + 34*z**2 + 5*z + 3. Let l(p) = -394*p**4 - 480*p**3 - 102*p**2 - 16*p - 10. Let r(q) = -20*f(q) - 6*l(q). Factor r(o).
-4*o*(o + 1)*(8*o + 1)**2
Let n(f) = 1 + 5*f**2 - 3*f**3 + 5*f**3 + 1 - 3*f**3. Let r be n(5). Find t, given that -2*t**2 + t**2 + 3*t**r + 2*t**3 = 0.
-1, 0
Let u(b) = -b**3 + 6*b**2 + 7*b + 2. Let t be u(7). Let y be t/((32/12)/4). Solve -6*h**3 + 17*h - 9*h + 18*h**y + 28*h**2 = 0.
-2, -1/3, 0
Let w(q) be the first derivative of q**6/12 + 2*q**5/5 - 5*q**3/3 - q**2/4 + 3*q - 152. Determine z, given that w(z) = 0.
-3, -2, -1, 1
Let y(o) be the third derivative of -o**8/168 + o**7/15 - 11*o**6/60 + o**5/6 - 21*o**2 + 3. Find w such that y(w) = 0.
0, 1, 5
Let h be 1/2*0/1. What is q in 0*q**2 + h + 0*q**4 + 0*q + 0*q**3 + 1/2*q**5 = 0?
0
Let s(u) be the first derivative of 5*u**4/28 - 368*u**3/21 + 6697*u**2/14 + 2738*u/7 + 428. Find i, given that s(i) = 0.
-2/5, 37
Let u(i) be the second derivative of 0 - 28/33*i**3 + 7/33*i**4 + 23/110*i**5 - 2/15*i**6 + 8/11*i**2 + 5/231*i**7 + 35*i. Solve u(t) = 0.
-1, 2/5, 1, 2
Let r(d) = 113*d**2 + 456*d + 368. Let a(i) = 114*i**2 + 454*i + 372. Let b(m) = 8*a(m) - 7*r(m). Factor b(y).
(11*y + 20)**2
Let k(x) be the first derivative of -x**4/24 - x**3/9 + 5*x**2/12 + x - 51. Factor k(p).
-(p - 2)*(p + 1)*(p + 3)/6
Let w be (-54)/(-84)*136/153. Determine o so that w*o**2 - 4/7*o**5 + 0 + 0*o - 4/7*o**4 + 4/7*o**3 = 0.
-1, 0, 1
Suppose 5*s = -2*z + 1, 5*z + 4*s + 2 - 13 = 0. Let v be (13 - 14)/((-1)/2). Factor 2*h**3 - 3*h**z - 3*h**2 + 5*h**v - h**2.
-h**2*(h - 1)
Let l = -138 + 158. Let j be (l/105)/(1/(28/12)). Solve -2/9*z**2 - j + 2/3*z = 0 for z.
1, 2
Let g(f) be the first derivative of -f**4 - 8*f**3 - 18*f**2 + 67. Factor g(w).
-4*w*(w + 3)**2
Determine u so that 0 - 2/17*u**3 - 2/17*u**4 + 10/17*u**2 - 6/17*u = 0.
-3, 0, 1
Factor 2/11*x**4 + 50/11*x + 2*x**3 + 0 + 70/11*x**2.
2*x*(x + 1)*(x + 5)**2/11
Let b(j) = -6*j**3 - 9*j**2 + 3*j + 15. Let s(c) = -c**3 + c + 1. Let p(v) = -b(v) + 3*s(v). Factor p(q).
3*(q - 1)*(q + 2)**2
Let c(i) be the first derivative of -2*i**3/39 + 191*i**2/13 + 727. Find v, given that c(v) = 0.
0, 191
Let k(s) be the first derivative of -s**3/3 + 33*s**2/2 + 70*s + 212. Suppose k(l) = 0. What is l?
-2, 35
Let v(g) = 2473*g + 9*g**5 - 9 - 2469*g + 4*g**5 + g**3. Let i(m) = -3*m**5 - m + 2. Let f(b) = -9*i(b) - 2*v(b). Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let m be (10 + -9)/(21/75). Let s = 167/35 - m. Suppose 0 - 3/5*r - 6/5*r**4 + 0*r**3 + 3/5*r**5 + s*r**2 = 0. What is r?
-1, 0, 1
Suppose 3*y - 77 = -0*y - 2*l, 2*y = -3*l + 53. Let 17*k + 24*k**2 + 16*k + 4*k**3 + 24*k - y*k = 0. Calculate k.
-4, -2, 0
Let j be (-1)/((-3)/(-63) - 0). Let z = j - -24. Factor -8*m**3 + 26*m**3 - 14*m**3 - 9*m + z*m**2 + 2.
(m - 1)*(m + 2)*(4*m - 1)
Let m(n) be the third derivative of n**6/60 - n**5/5 + n**4 - 8*n**3/3 + 223*n**2. What is p in m(p) = 0?
2
Let i(t) = 2*t**3 + t**2. Let g(f) = 5*f**3 + 75*f**2 - 300*f + 360. Let v(p) = g(p) - 5*i(p). Factor v(o).
-5*(o - 6)**2*(o - 2)
Let d(q) be the second derivative of -q**6/45 + q**5/10 + q**4/18 - q**3/3 + 21*q - 6. Let d(v) = 0. Calculate v.
-1, 0, 1, 3
Factor -1292*n - n**4 + 0*n**4 + 55*n**3 - 386 - 770 - 93*n**3 - 429*n**2.
-(n + 2)**2*(n + 17)**2
Let y(x) be the first derivative of 3*x**4/32 - 3*x**3/8 - 3*x**2/16 + 9*x/8 + 54. Determine a, given that y(a) = 0.
-1, 1, 3
Let j(b) = -74*b - 663. Let d be j(-9). Factor 0 - 6/7*g**2 - 4/7*g - 2/7*g**d.
-2*g*(g + 1)*(g + 2)/7
Suppose -30*a + 26*a - 16 = 0. Let p(d) = 3*d**2 - 4*d - 7. Let i(m) = 3*m**2 - 3*m - 6. Let k(q) = a*i(q) + 3*p(q). Factor k(b).
-3*(b - 1)*(b + 1)
Let w(i) be the first derivative of -4*i**3/3 + 4*i**2 + 252*i - 185. Factor w(h).
-4*(h - 9)*(h + 7)
Let p(u) be the first derivative of -u**6/30 - u**5/4 - 7*u**4/12 - u**3/2 - 38*u + 54. Let k(r) be the first derivative of p(r). Solve k(m) = 0 for m.
-3, -1, 0
Let b be 4/22 + ((-310)/(-22))/5. Suppose -b*h = -10 + 1. Factor 0*s + 0 + 1/5*s**5 + 0*s**2 + 0*s**4 + 0*s**h.
s**5/5
Let t(j) be the first derivative of j**6/5 - 2*j**5/25 - 3*j**4/2 + 2*j**3/3 + 12*j**2/5 - 8*j/5 + 4. Let t(a) = 0. What is a?
-2, -1, 1/3, 1, 2
Let w be (-9135)/(-6300) + 4/5. Factor -7/4*v**3 + w*v**4 + 7/4*v - 11/4*v**2 + 1/2.
(v - 1)**2*(v + 1)*(9*v + 2)/4
Let t be 3 + (-25)/(875/98). Suppose -7*x + 8 = -3*x. Find u, given that 0*u**x + 0*u - t*u**3 + 0 = 0.
0
Suppose -68 = -10*o - 7*o. Let l(b) be the third derivative of 0*b**3 - 1/220*b**6 + 6*b**2 + 0*b - 1/330*b**5 + 0 + 0*b**o - 2/1155*b**7. Factor l(w).
-2*w**2*(w + 1)*(2*w + 1)/11
Suppose -7*i - 6 = -10*i. Let x be -3 - (3 - -1 - 7). Determine d, given that -d**2 + 2 + i*d + 2 - d**2 + x*d**2 = 0.
-1, 2
Let j(q) be the first derivative of q**7/42 - q**5/12 + 8*q**2 + 1. Let w(z) be the second derivative of j(z). What is n in w(n) = 0?
-1, 0, 1
Let p(i) = 17*i + 55. Let x be p(-3). Let k(b) be the third derivative of 0*b - 5*b**2 - 1/192*b**x + 0*b**3 + 1/480*b**5