 0.
-2, 32
Let r(s) be the first derivative of 2*s**2 + 45/14*s**4 + 127 + 0*s + 86/21*s**3 + 34/35*s**5 + 1/21*s**6. Determine d so that r(d) = 0.
-14, -1, 0
Let k be 5 - ((-28)/(-98) + 1 + 78/21). Let y(i) be the second derivative of 0 - 1/90*i**6 + 1/6*i**2 + k*i**4 + 1/9*i**3 + 2*i - 1/30*i**5. Factor y(b).
-(b - 1)*(b + 1)**3/3
Let g(p) = 3*p**3 - 26*p**2 + 42*p - 24. Let z = 195 - 200. Let o(i) = 6*i**3 - 51*i**2 + 84*i - 48. Let a(t) = z*o(t) + 9*g(t). Factor a(j).
-3*(j - 4)*(j - 2)*(j - 1)
Let a(v) be the first derivative of v**6/3 + 52*v**5/5 + 47*v**4/2 - 52*v**3/3 - 48*v**2 - 2372. Let a(s) = 0. Calculate s.
-24, -2, -1, 0, 1
Let s(w) = w**3 + w**2 - 2*w + 3. Let f be s(-2). Factor -f*x**5 + 3*x**4 + 12*x**3 + 0*x**4 - 7*x**3 + x**3.
-3*x**3*(x - 2)*(x + 1)
Solve 15*j**5 + j**5 + 50*j**3 - 90*j - 21*j**5 + 5*j**4 - 45*j**2 + 5*j**3 = 0.
-3, -1, 0, 2, 3
Let j be 4/(-16) - 270/(-24). Determine m so that -12*m**2 + 38*m - 42*m**3 + j*m**4 - 15*m**4 + 51*m - 5*m**4 - 27 + m = 0.
-3, 1/3, 1
Solve 20686*s**2 - 42958*s**2 + 21259*s**2 + s**3 = 0 for s.
0, 1013
Let x(t) be the first derivative of t**6/240 - 7*t**4/48 - t**3/2 + 2*t**2 - 4*t + 44. Let w(l) be the second derivative of x(l). Solve w(g) = 0.
-2, -1, 3
Let y(c) = 3*c**2 + 378*c + 123. Let b(t) = 3*t**2 + 377*t + 123. Let n(m) = -8*b(m) + 7*y(m). Factor n(v).
-(v + 123)*(3*v + 1)
Let j(l) be the first derivative of -5*l**4/4 + 30*l**3 + 315*l**2/2 + 9748. Factor j(y).
-5*y*(y - 21)*(y + 3)
Factor -136*p**3 - 1416 + 549*p**3 - 409*p**3 + 712*p**2 + 700*p.
4*(p - 1)*(p + 2)*(p + 177)
Let u be (-27209)/(-42630) + 2*4/48. Let o = u - 1/203. Factor -o - 1/5*g**2 + 4/5*g.
-(g - 2)**2/5
Let u(v) be the second derivative of -5/24*v**4 + 0*v**2 + 1/120*v**6 + 130*v + 0 + 0*v**3 - 3/80*v**5. Determine a, given that u(a) = 0.
-2, 0, 5
Let l be 4/10*((-1176)/63)/(-28). Let q(h) be the third derivative of 6*h**2 - 1/150*h**5 + 0 + 1/15*h**4 - l*h**3 + 0*h. Find v, given that q(v) = 0.
2
Let o(u) be the first derivative of u**6/24 - 3*u**5/4 - 9*u**4/16 + 131*u**3/12 + 9*u**2 - 45*u - 1196. Let o(d) = 0. Calculate d.
-2, 1, 3, 15
Let m(u) = -u**2 - 8*u + 11. Suppose -2*s - 72 = 6*s. Let c be m(s). Suppose -9*f**2 + 9*f**4 - c*f**3 - 3*f - 4*f**3 + 8*f**3 + f**3 = 0. What is f?
-1, -1/3, 0, 1
Suppose 5*m - 4*f = 4, 3*m - 12 = 5*m - 5*f. Let a = 40 + -31. Factor 12*r**3 - a*r**5 - 17*r**5 + 48*r**5 + m*r**2 + 12*r**4 - 18*r**5.
4*r**2*(r + 1)**3
Find k, given that -12/5*k**4 - 90*k + 0 - 362/5*k**3 - 552*k**2 = 0.
-15, -1/6, 0
Let m = -249006 + 498021/2. Let -m + 15/4*k - 3/4*k**2 = 0. Calculate k.
2, 3
Let f = 132 - 144. Let o be (32/12 + -3)/(f/9). Factor -1/2*h + 0*h**3 - o*h**4 + 3/4*h**2 + 0.
-h*(h - 1)**2*(h + 2)/4
Let y be (-4040)/240 - (-3)/(-18) - -19. Factor 3*a**4 + 58/3*a**y + 12*a + 13*a**3 + 8/3.
(a + 1)*(a + 2)*(3*a + 2)**2/3
Let s be -8*-4*4/160*17*(-4)/(-136). Factor -s*b**3 + 8/5*b**2 + 0 - 6/5*b.
-2*b*(b - 3)*(b - 1)/5
Let k(j) = -4*j**3 + 47*j**2 - 48*j - 10. Let q(a) = 7*a**3 - 94*a**2 + 96*a + 18. Let n(w) = -9*k(w) - 5*q(w). Let n(h) = 0. Calculate h.
-48, 0, 1
Suppose 0*m + m = 2*m. Suppose 6*r - 17 - 43 = m. Solve 5*t**3 - 2*t**3 + 2*t**3 - 22*t - 40 + 2*t + r*t**2 = 0 for t.
-2, 2
Suppose 0*n = 4*s - 2*n - 70, 4*n = s - 35. Let m = s + -29/2. Factor m*p**4 + 0 + 2*p**3 + 5/2*p**2 + p.
p*(p + 1)**2*(p + 2)/2
Let t = -16 + 18. Suppose -2 = -2*w + t. Factor 3*m**2 + 6 - 2*m**w + 0*m**2 + 5*m.
(m + 2)*(m + 3)
Let o(h) be the first derivative of -3/25*h**5 - 36/5*h + 9/4*h**4 + 142 + 111/10*h**2 - 39/5*h**3. Let o(m) = 0. What is m?
1, 12
Let a(u) be the third derivative of u**7/630 + u**6/40 + 11*u**5/180 - 7*u**4/24 + 1383*u**2. Determine l, given that a(l) = 0.
-7, -3, 0, 1
Let 104*t**3 + 2*t**4 + 1 + 7 - 8 + 86*t**2 - 16*t**3 = 0. Calculate t.
-43, -1, 0
Let 256*c + 32*c**2 + 20256*c**4 - 135 + 16*c**2 - 4*c**2 - 64*c**3 - 105 - 20252*c**4 = 0. What is c?
-2, 1, 2, 15
Let f be (-10)/(-1) - 2 - 6. Let -2*d - 4 - 5 + 17*d**f + 9 = 0. What is d?
0, 2/17
Let y(h) be the third derivative of -h**8/4032 - h**7/168 - 5*h**6/144 + h**5/30 - 5*h**3/6 - 60*h**2. Let b(w) be the third derivative of y(w). Factor b(a).
-5*(a + 1)*(a + 5)
Let o(r) be the third derivative of r**6/70 + 13*r**5/35 + 209*r**4/56 + 121*r**3/7 + 5*r**2 - 52*r. Solve o(x) = 0 for x.
-11/2, -2
Let y(t) be the second derivative of -t**6/60 - 4*t**5/15 + t**4 + 48*t**3 + 129*t**2/2 + 110*t. Let r(s) be the first derivative of y(s). Factor r(b).
-2*(b - 4)*(b + 6)**2
Let p(r) = -21340*r + 128040. Let d be p(6). Find y such that d*y**4 + 3/2*y - 3*y**3 + 0*y**2 + 0 + 3/2*y**5 = 0.
-1, 0, 1
Let h(b) = -8*b - 148. Let v be h(-28). Let c = -379/5 + v. Factor 0 - 1/5*t**2 - c*t.
-t*(t + 1)/5
Let p(y) be the second derivative of y**5/10 + 67*y**4/4 - 101*y**3/6 + 63*y - 16. Solve p(t) = 0.
-101, 0, 1/2
Let j be -1*(-49)/(-28)*(-32)/(-1). Let p be (j/252)/((-2)/28). Factor p*x**4 + 352/9*x + 146/9*x**3 + 128/9 + 344/9*x**2 + 2/9*x**5.
2*(x + 1)**2*(x + 4)**3/9
Let l(n) = -105*n**4 + 180*n**3 - 150*n**2 - 775*n + 575. Let s(c) = -2*c**4 + c**2 - c - 3. Let b(t) = l(t) - 55*s(t). What is h in b(h) = 0?
-37, -2, 1, 2
Let a(l) = 3*l**2 - 6*l. Let j be a(6). Let u be (j/(-45))/((-4)/10). Suppose 7*d**u - 3*d - 5*d**3 + 7*d**2 + 8*d**4 - 14*d**4 = 0. What is d?
0, 1, 3
Let s(u) = 4*u**2 - 62*u + 72. Let m(l) = -2*l**2 + 30*l - 36. Let g = 347 + -334. Let f(d) = g*m(d) + 6*s(d). Factor f(q).
-2*(q - 6)*(q - 3)
Determine x so that 1836/5 - 6/5*x**2 - 906/5*x = 0.
-153, 2
Factor 5*r**3 - 501/2*r**2 + 1/4*r**4 - 2755*r + 303601/4.
(r - 19)**2*(r + 29)**2/4
Suppose -7*q - 96 = -10*q + c, 3*c + 9 = 0. Factor q - 2*o**2 - 2*o**2 + 22*o + 6*o + 30 + 59.
-4*(o - 10)*(o + 3)
Let d(y) be the third derivative of -y**8/112 + y**7/56 + 7*y**6/160 - y**5/40 - 147*y**2. Suppose d(o) = 0. Calculate o.
-1, 0, 1/4, 2
Let q be 546/240 + (-69)/(-828)*(-3)/(-2). Factor -2/5*a**2 - q*a + 14/5.
-2*(a - 1)*(a + 7)/5
Let a = -2917 + 2919. Let v(x) be the second derivative of -1/3*x**3 - 2*x + 1/6*x**4 + 0 + 0*x**a. Factor v(y).
2*y*(y - 1)
Let a(k) = -k**3 - 31*k**2 + k - 24. Let w be a(-31). Let j be (2 + 2)*w/(-110). What is l in 2/3*l + 1/2 + 1/6*l**j = 0?
-3, -1
Let g(v) be the third derivative of v**5/20 + 9*v**4 - 73*v**3/2 - 31*v**2 - 3*v + 2. Factor g(q).
3*(q - 1)*(q + 73)
Let o be (20/(-5))/((-88)/(-16) + (-205)/30). Find u, given that -4*u**2 + 14/5*u**4 + u**5 + 1/5*u**o - 12/5*u + 0 = 0.
-2, -1, 0, 6/5
What is s in 8/5*s**5 - 166*s**2 - 484/5*s**3 + 82/5*s**4 + 944/5*s + 56 = 0?
-14, -2, -1/4, 1, 5
Let l(t) = t - 4. Let w be l(6). Let z = 561741/702170 + -1/140434. Find s such that -1/5*s**w + z - 3/5*s = 0.
-4, 1
Factor 0 - 12/5*j**3 - 64/5*j - 12*j**2 + 1/5*j**4.
j*(j - 16)*(j + 2)**2/5
Suppose 2*u + 3*m = 1, -3*u - u - 4*m + 8 = 0. Solve -17*r**2 + 28*r - 26*r - 5*r**2 + 66*r**3 - 74*r**4 + 28*r**u = 0.
0, 1/7, 1/2, 1
Let g(s) be the first derivative of -3*s**7/1540 + s**6/660 + s**5/110 - 125*s**3/3 - 104. Let j(q) be the third derivative of g(q). Factor j(f).
-6*f*(f - 1)*(3*f + 2)/11
Let w(d) be the third derivative of d**7/630 - 5*d**6/72 - 53*d**5/180 - 3*d**4/8 - 1728*d**2. Factor w(r).
r*(r - 27)*(r + 1)**2/3
Let y = 106595 - 106593. What is t in 30 - 5*t - 5/3*t**y = 0?
-6, 3
Let c(w) = -7*w + 326 - 8*w - 352. Let g be c(-2). Factor 0 + 0*x**2 - 9/2*x**3 - 3/2*x**g + 6*x.
-3*x*(x - 1)*(x + 2)**2/2
Let r be 135200/(-13923) - (-6)/(-27). Let j = 72/7 + r. Find n such that -12/17 + 38/17*n - j*n**2 = 0.
1/3, 6
Factor -874*i**4 + 54*i + 173252*i**3 - 183*i - 2634*i**2 - 4 - 170626*i**3 + 1015*i.
-2*(i - 1)**3*(437*i - 2)
Let f(n) be the third derivative of -n**6/180 + n**5/45 + 56*n**4/9 + 128*n**3 + 3*n**2 + 12. Factor f(d).
-2*(d - 18)*(d + 8)**2/3
Suppose 118 + 10 = 4*m. Factor 0*f**2 - 6*f**4 + 45*f - 6*f**3 + 2*f**5 - 64 + m*f**2 - 13*f - 10*f**3 + 2*f**4.
2*(f - 2)**3*(f + 2)**2
Let p be (68/8 - 8)/(-10*(-228)/480). Factor -18*d**2 + 1026*d + p*d**3 - 19494.
2*(d - 57)**3/19
Let a = 72234 + -938922/13. Factor 18/13 - a*i + 200/13*i**2.
2*(10*i - 3)**2/13
Let n be (-45735)/(-6840) - 1*6. Let g = n + -3/152. Factor 2/3*a**2 - g*a**3 + 2 + 10/3*a.
-2*(a - 3)*(a + 1)**2/3
Factor 14*a + 0 - 156/11*a**2 + 2/11*a**3.
2*a*(a - 