9*l**5/4 + 35*l**4/12 + 5*l**3/3 - 7*l - 38. Factor v(p).
5*p*(p + 1)**3*(p + 2)
Let d(f) be the first derivative of -f**4/10 - 658*f**3/15 - 5379*f**2 + 10890*f - 1240. Factor d(w).
-2*(w - 1)*(w + 165)**2/5
Let x(h) be the first derivative of -14*h**6/3 - 172*h**5/5 + 42*h**4 - 4985. Factor x(y).
-4*y**3*(y + 7)*(7*y - 6)
Factor -765/2*l - 2835/2 - 5/6*l**3 - 65/2*l**2.
-5*(l + 9)**2*(l + 21)/6
Let g = -36 - -42. Let m = g - 2. Determine h, given that -3*h**2 + 2*h - 20*h**4 + 5*h**2 - 7*h**3 - h + 24*h**m = 0.
-1/4, 0, 1
Let t be ((-6)/(-7))/2 + 3774/259. Find g, given that 3*g**3 - 2*g + t*g**2 + 3*g + 11*g = 0.
-4, -1, 0
Suppose -24*r + 747 = 699. Let 4/19*y**3 + 0 + 0*y + 2/19*y**r = 0. Calculate y.
-1/2, 0
Let v(q) = -5*q**5 - 17*q**4 - 59*q**3 - 117*q**2 - 108*q - 38. Let c(r) = 2*r**5 + 2*r**4 - r**2 + 1. Let x(i) = 10*c(i) + 5*v(i). Let x(k) = 0. Calculate k.
-6, -3, -2, -1
Let q(m) be the first derivative of 5*m**4/4 + 2920*m**3/3 + 5825*m**2/2 + 2910*m + 1388. Determine a, given that q(a) = 0.
-582, -1
Let 0*i + 0*i**2 - 12/7*i**5 + 80/7*i**4 - 48/7*i**3 + 0 = 0. What is i?
0, 2/3, 6
Let w(f) = -166*f**2 + 206*f + 684. Let r(o) = -48*o**2 + 68*o + 228. Let d(p) = 7*r(p) - 2*w(p). Factor d(c).
-4*(c - 19)*(c + 3)
Let h(i) = 277 + 112563*i - 49 - 112569*i. Let j be h(38). Determine m so that -2/11*m**5 - 4/11*m**4 + 2/11*m**3 + j + 0*m + 4/11*m**2 = 0.
-2, -1, 0, 1
Suppose -3*s - 8 = -2*c, -2*c = 17*s - 22*s. Factor -1/2*d**3 + 7/2*d**2 + 3 + 13/2*d - 1/2*d**s.
-(d - 3)*(d + 1)**2*(d + 2)/2
Factor -172 + 1030/3*a - 512/3*a**2 - 2/3*a**3.
-2*(a - 1)**2*(a + 258)/3
Suppose -1280*h + 1225*h + 165 = 0. Let m(i) be the second derivative of 2/15*i**h + 22*i - 1/60*i**4 + 0 - 3/10*i**2. Factor m(j).
-(j - 3)*(j - 1)/5
Let h(c) be the second derivative of 1/84*c**7 + 0*c**3 + 1/20*c**6 - 10*c - 9/40*c**5 + 0 + 5/24*c**4 + 0*c**2. Factor h(t).
t**2*(t - 1)**2*(t + 5)/2
Let p(u) be the first derivative of -u**6/8 + 333*u**5/20 + 675*u**4/16 + 113*u**3/4 + 4343. Find z such that p(z) = 0.
-1, 0, 113
What is w in -2442/5*w + 2/5*w**2 - 4892/5 = 0?
-2, 1223
Let j = -262/3 - -88. Let k = -16333 - -16336. Find g, given that 0 - 4/3*g + 2*g**2 - j*g**k = 0.
0, 1, 2
Let a(o) be the second derivative of -11 + 3*o - 3/2*o**2 - 3/4*o**4 - 3/2*o**3 - 3/20*o**5. Suppose a(h) = 0. Calculate h.
-1
Let a = -1119959/120 - -9333. Let o(u) be the third derivative of a*u**5 + 26*u**2 - 5/48*u**4 + 1/3*u**3 + 0*u + 0. Factor o(h).
(h - 4)*(h - 1)/2
Let g = 4686 - 4686. Let q(i) be the third derivative of 49/3*i**3 + 21*i**2 + 7/6*i**4 + g + 0*i + 1/30*i**5. Find p, given that q(p) = 0.
-7
Let m = 30221 + -30219. Factor 686/9*s**5 + 0 + 128/9*s**m + 0*s + 392/3*s**4 + 224/3*s**3.
2*s**2*(7*s + 4)**3/9
Suppose -361 = -131*k - 99. Let p(c) be the third derivative of 0*c - 7/12*c**4 + 0 - 1/15*c**5 + 1/60*c**6 - 4/3*c**3 + 13*c**k. Factor p(h).
2*(h - 4)*(h + 1)**2
Let n(x) be the first derivative of -x**5/50 + 13*x**4/40 - 41*x**3/30 + 47*x**2/20 - 9*x/5 - 1620. Factor n(z).
-(z - 9)*(z - 2)*(z - 1)**2/10
Let f be (30/(-660))/(0 + (161/168 - 1)). Solve f*d**2 - 16/11*d + 0 - 2/11*d**3 = 0 for d.
0, 2, 4
Let o(p) be the first derivative of 1/3*p**4 - 3*p**2 - 8/15*p**5 - 78 - 1/9*p**6 + 0*p + 8/3*p**3. Factor o(i).
-2*i*(i - 1)**2*(i + 3)**2/3
Let z(i) = -i**3 - 12*i**2 - 22*i + 38. Let j(g) = -3*g**2 + 63*g + 1 - 21*g - 22*g - 21*g. Let d(o) = -j(o) - z(o). Suppose d(r) = 0. What is r?
-13, -3, 1
Let o(m) = 6*m**3 - 10*m**2 - m + 15. Let d(a) = -a**3 - a**2. Suppose -3*z - 5 + 35 = 0. Let c(v) = z*d(v) + 2*o(v). Let c(s) = 0. Calculate s.
-1, 1, 15
Let t be -3*(-3)/63 - 11764/28. Let b = t + 423. Factor 0*q + 0 - 5/2*q**4 - 5*q**b - 5/2*q**2.
-5*q**2*(q + 1)**2/2
Suppose 10 = 2*d - 0. Factor 11*z**3 - 43*z**4 - 5*z**2 + 9*z**3 + 28*z**4 - 5*z**3 + 5*z**d.
5*z**2*(z - 1)**3
Suppose -18 = 2*t - 4*x, -39 = 4*t - 3*x - 33. Determine c, given that -1/2*c**4 - 1/3*c + 1/6*c**t + 0 + 1/6*c**5 + 1/2*c**2 = 0.
-1, 0, 1, 2
Factor 78/11*c + 2/11*c**3 + 42/11*c**2 + 38/11.
2*(c + 1)**2*(c + 19)/11
Let x = -3312 - -3312. Let v(j) be the second derivative of 12*j - 1/315*j**7 + x*j**3 + 0*j**2 + 0 + 0*j**4 + 0*j**6 + 0*j**5. Factor v(d).
-2*d**5/15
Let x = -112713880929/57968113 - -2/3409889. Let n = 1945 + x. Factor n*h - 2/17*h**3 + 6/17*h**2 + 4/17 - 2/17*h**4.
-2*(h - 2)*(h + 1)**3/17
Let d(r) be the first derivative of 4*r**3/3 - 602*r**2 + 3576*r - 716. Factor d(g).
4*(g - 298)*(g - 3)
Let y = 275/274 - -68/137. Find s such that -3/2*s**2 - y*s**4 + 0 + 4*s**3 - s = 0.
-1/3, 0, 1, 2
Let n(r) be the third derivative of -r**7/13860 + r**6/660 - 3*r**5/220 - r**4/12 - r**3/3 + 177*r**2. Let j(g) be the second derivative of n(g). Factor j(s).
-2*(s - 3)**2/11
Let j(y) be the first derivative of 0*y**3 - 3/5*y**2 + 3/10*y**4 + 14 - 3/25*y**5 + 3/5*y. Factor j(c).
-3*(c - 1)**3*(c + 1)/5
Suppose 0 = -4*p - 5 + 13. Suppose 18*j - l = 22*j - 6, -3*j - 4*l = p. Factor 0 + 2/5*u - 2/5*u**j.
-2*u*(u - 1)/5
Suppose p = -8*n + 16, 3*n + 21070*p = 21068*p + 32. Suppose -1/5*f**2 + 22/5*f + n = 0. What is f?
0, 22
Suppose 251*d**2 - 3*d**5 + 168*d**3 + 9*d**2 - 159*d**4 + 64*d**2 = 0. Calculate d.
-54, -1, 0, 2
Let l(a) = -8*a**2 + 843*a - 844. Let v(d) = -29*d**2 + 3371*d - 3375. Let r(w) = -33*l(w) + 9*v(w). Let r(t) = 0. What is t?
-841, 1
Factor 0*x - 20/7*x**4 + 0*x**2 + 2/7*x**5 + 48/7*x**3 + 0.
2*x**3*(x - 6)*(x - 4)/7
Suppose 26 = -2*z - s + 4*s, -2*s + 17 = -3. Solve 0 + 6/5*b + 2/5*b**z = 0 for b.
-3, 0
Let w(b) be the second derivative of b**6/6 + 87*b**5/4 + 5045*b**4/6 + 4550*b**3 + 8820*b**2 - 1158*b. Solve w(o) = 0.
-42, -2, -1
Factor 3*u**3 + 85*u + 12*u**2 - 56*u - 4*u - 61*u.
3*u*(u - 2)*(u + 6)
Let k(u) be the third derivative of -52*u**2 + 3/2*u**4 + 1 + 0*u + 1/20*u**5 - 13/2*u**3. Factor k(z).
3*(z - 1)*(z + 13)
Let t be ((-46)/(-14) + -2)*42/12. Let c be 524/29 + (8080/580 - 14). Factor -24*m - c*m**2 - t*m**3 - 32/3.
-(3*m + 4)**3/6
Let w(n) = n**3 + 2*n + 2. Let t(r) = -r**3 - 477*r**2 + 25273*r - 446639. Let g(v) = -t(v) - 4*w(v). Determine d, given that g(d) = 0.
53
Let m(b) = 7*b**2 + 387*b - 808. Let k(u) = u**2 - 3*u. Let q(d) = 3*k(d) - m(d). Suppose q(j) = 0. Calculate j.
-101, 2
Let s(q) be the third derivative of -q**7/210 + 4*q**6/15 + 17*q**5/15 - 37*q**2 + 32. Factor s(y).
-y**2*(y - 34)*(y + 2)
Factor 488 - 489 + 31*d - 3364*d**2 + 39*d + 46*d.
-(58*d - 1)**2
Let h(j) = 2*j**3 - 49*j**2 - 25*j + 9. Let z be h(25). Let n be (z + -5 - -4) + -6. Find r such that 0*r + r**n - 9/4*r**4 - 4*r**3 + 0 = 0.
-2, 0, 2/9
Let b(i) be the second derivative of 21*i**6/40 + 13*i**5/6 + i**4/6 - 4*i**3/3 + 30*i**2 + i + 29. Let h(v) be the first derivative of b(v). Factor h(m).
(m + 2)*(7*m + 2)*(9*m - 2)
Let d(m) be the third derivative of 31*m**8/126 - 6*m**7/35 - 233*m**6/720 - m**5/8 - m**4/72 + m**2 - 122*m. Solve d(x) = 0 for x.
-1/4, -2/31, 0, 1
Let a be (24760/24141)/(8/26). Factor a*y + 0 - 1/3*y**2.
-y*(y - 10)/3
Let t(w) be the third derivative of -w**6/48 - 859*w**5/240 + 43*w**4/48 + 2*w**2 + 3014*w. Let t(l) = 0. What is l?
-86, 0, 1/10
Let z(a) = a**2 - 4*a - 4. Let d be z(8). Suppose 3*c = c + 4*q + 14, d = 4*c + 5*q. Factor c*s**2 - s**4 - 7*s**2 + 2*s**3 - s**3.
-s**3*(s - 1)
Let j(h) = -417*h + 1255. Let t be j(3). Let l(s) be the third derivative of 0 - 1/70*s**5 + 0*s + 1/7*s**3 + 14*s**2 + 1/56*s**t - 1/280*s**6. Solve l(o) = 0.
-2, -1, 1
Let a(b) be the third derivative of 0*b**3 + 0 + 64*b**2 - 5/6*b**4 + 0*b - 23/30*b**5 + 1/12*b**6. Find l, given that a(l) = 0.
-2/5, 0, 5
Suppose 4*s = -3*q + 7, -2*s - 3*q - 13 = -3*s. Factor -35*z**3 - 4*z**s + 20*z + 15*z**2 + 31*z**3 - 4*z - 32 + 9*z**2.
-4*(z - 2)*(z - 1)*(z + 2)**2
Let z(o) be the third derivative of -o**6/240 - o**5/24 - o**4/24 + 2*o**3/3 + 49*o**2 + 8*o. Factor z(k).
-(k - 1)*(k + 2)*(k + 4)/2
Let x(s) be the third derivative of -s**5/120 - 7*s**4/36 - s**3/4 - 2*s**2 + 128. Factor x(g).
-(g + 9)*(3*g + 1)/6
Let n(w) be the second derivative of -w**4/30 - 48*w**3/5 + 450*w + 2. Suppose n(s) = 0. Calculate s.
-144, 0
Let a(w) = 3*w**2 - w - 2. Let f be a(-1). Let 0*h**2 - 12773 - 175*h + 3*h**f + 57*h**2 - 5*h**3 + 12893 = 0. What is h?
1, 3, 8
Suppose 5*c - 4*o - 21 + 5 = 0, -20 