) = -2*z**5 - 10*z**4 - 4*z**3 + 14*z**2 + 10*z. Let d(c) = w*m(c) - n(c). Factor d(q).
4*q*(q - 1)*(q + 1)**2*(q + 2)
Let w(o) be the first derivative of 2*o**3/3 + 23*o**2 + 84*o + 1077. Factor w(t).
2*(t + 2)*(t + 21)
Let b = 2/443 - -3530/3101. Let c be (4*44/64)/(18/((-6192)/(-301))). Let -c*d**2 + b + 16/7*d + 6/7*d**3 = 0. Calculate d.
-1/3, 2
Let n(c) = 313*c**2 - 581*c - 272. Let k(a) = -35*a**2 + 2*a - 1. Let j(v) = 45*k(v) + 5*n(v). Let j(r) = 0. Calculate r.
-281, -1/2
Let f(h) be the third derivative of h**5/45 + 3*h**4/4 - 14*h**3/9 - 2646*h**2. Factor f(q).
2*(q + 14)*(2*q - 1)/3
Let w(z) be the third derivative of z**6/900 - 13*z**5/450 - 4*z**4/15 + 78*z**2 - 3*z + 5. Factor w(t).
2*t*(t - 16)*(t + 3)/15
Let w be (-2)/(-6) + (-38)/(-30). Let p = -93689/15 - -18745/3. What is x in -24/5*x + 26/5*x**2 + w - p*x**3 + 2/5*x**4 = 0?
1, 2
Let x(l) be the second derivative of 2*l + 5/2*l**3 - 1/4*l**4 + 9*l**2 - 44. Suppose x(k) = 0. Calculate k.
-1, 6
Solve -8/3*p**4 + 4489/6 - 1491/2*p**2 + 268/3*p - 268/3*p**3 = 0 for p.
-67/4, -1, 1
Let d(n) be the third derivative of n**7/210 - 5*n**6/8 + 341*n**5/10 - 5929*n**4/6 + 15972*n**3 - 11*n**2 - 7*n. Factor d(i).
(i - 22)**3*(i - 9)
Solve -601*s**2 + 598*s**2 + 39*s + 24*s + 588 = 0 for s.
-7, 28
Let y(a) be the second derivative of a + 4 - 9/10*a**2 - 1/10*a**3 - 1/100*a**5 + 1/12*a**4. Determine t so that y(t) = 0.
-1, 3
Let r(y) be the second derivative of 0*y**2 - 2 - 2*y**4 + 4/5*y**6 - 2*y**3 + 23*y + 3/14*y**7 + 3/20*y**5. Solve r(l) = 0.
-2, -1, -2/3, 0, 1
Let s(n) be the second derivative of n**5/150 - 13*n**4/60 + 79*n**2 + 2*n - 131. Let k(i) be the first derivative of s(i). Factor k(p).
2*p*(p - 13)/5
Let q(w) be the third derivative of w**7/70 - 4*w**6/5 + 42*w**5/5 - 40*w**4 + 104*w**3 - 307*w**2 - 2. Factor q(s).
3*(s - 26)*(s - 2)**3
Suppose 8*v - 39 = -5*v. Let u = -14/9 + 37/18. Solve -5/2*h**v + 0 + 1/2*h - u*h**2 - 3/2*h**4 = 0.
-1, 0, 1/3
Let a(w) = -7*w + 35. Let h be a(0). Factor h*i**2 + 6 - 80*i**2 - 3*i + 42*i**2.
-3*(i - 1)*(i + 2)
Solve t**2 - 192 + 4*t - 12*t - 37*t + t = 0.
-4, 48
Let h = 10482/299 + -778/23. Solve h*c + 8/13 + 10/13*c**2 + 2/13*c**3 = 0 for c.
-2, -1
Suppose -34*w = -68*w - 18904. Let r = -2778/5 - w. Let -2/5*x - 2/5*x**4 - 4/5 + 6/5*x**2 + r*x**3 = 0. What is x?
-1, 1, 2
Let v = -4621 - -4624. Let o(u) be the first derivative of -4/27*u**v + 17 + 0*u**2 + 0*u - 14/45*u**5 + 1/2*u**4. Factor o(y).
-2*y**2*(y - 1)*(7*y - 2)/9
Suppose i = -j + 5, -70*j = -i - 73*j + 5. Let q(w) be the second derivative of 0 - 7*w + 1/10*w**i + 0*w**2 - 1/6*w**4 + 0*w**3. Factor q(u).
2*u**2*(u - 1)
Let i be -6 + 249/(-45)*69/(-85). Let w = -23/25 - i. Solve -16/17*x**2 + w*x + 6/17 = 0 for x.
-3/8, 1
Let d be -13 + 9 + (2 - (-6 + 4)). Let k(m) be the first derivative of d*m - 1/18*m**3 - 11 + 0*m**2. Determine n so that k(n) = 0.
0
Solve -96/5*x**3 + 3/5*x**5 - 243/5*x + 0 + 78/5*x**4 - 414/5*x**2 = 0 for x.
-27, -1, 0, 3
Let s(u) be the first derivative of -2*u**3/3 - 310*u**2/3 + 416*u/3 - 817. Suppose s(h) = 0. Calculate h.
-104, 2/3
Let l(w) be the third derivative of -w**5/60 + w**4/2 + 939*w**2. Factor l(a).
-a*(a - 12)
Suppose -4*m + 4*n - 40 = 0, -3*n - 12 = 2*m + 23. Let b be m/4 + 3 - 20/(-20). Factor 0 + b*o - 1/4*o**2.
-o*(o - 3)/4
Factor -4/5*l**3 - 116/5*l - 104 + 64/5*l**2.
-4*(l - 13)*(l - 5)*(l + 2)/5
Let y(z) be the first derivative of z**6/45 - 44*z**5/75 + 103*z**4/30 - 212*z**3/45 - 104*z**2/15 + 256*z/15 + 10198. Solve y(x) = 0.
-1, 1, 2, 4, 16
Let d = 101 + -98. Suppose -d*l - 6 = 3*t, l = -2*t - 39 + 35. Suppose -1/4*p**2 + 1/4*p**4 + l + 1/4*p**3 - 1/4*p**5 + 0*p = 0. Calculate p.
-1, 0, 1
Let b(a) be the second derivative of 2*a**6/15 - 221*a**5/10 + 1987*a**4/16 + 3313*a**3/24 + 107*a**2/2 - 5*a + 170. Suppose b(d) = 0. What is d?
-1/4, 4, 107
Let o(y) be the second derivative of 20/7*y**3 + 1/28*y**4 + 0 - 143*y - 123/14*y**2. Factor o(n).
3*(n - 1)*(n + 41)/7
Suppose 46316*x = 46277*x. Factor -4/7*u**3 + 296/7*u**2 + x - 5476/7*u.
-4*u*(u - 37)**2/7
Let y be -1 - (1 + -3 - -2). Let g be 4*(1/y)/(-2). Factor 7*i + i**4 + 13*i**2 + 6*i**3 + 4 + g*i + 3*i.
(i + 1)**2*(i + 2)**2
Let u(s) be the second derivative of 16/9*s**3 - s - 10/3*s**2 - 13/36*s**4 + 1/60*s**5 + 95. Factor u(w).
(w - 10)*(w - 2)*(w - 1)/3
Let l(a) be the first derivative of -5/3*a**3 + 0*a - 25/2*a**2 + 70. Factor l(u).
-5*u*(u + 5)
Let b(h) be the first derivative of 2*h**3/5 + 22176*h**2/5 + 81962496*h/5 + 6414. Let b(j) = 0. Calculate j.
-3696
Let n = 29 + -32. Let x be 2 - (2 - 0) - n. Factor 2*s**5 + 6*s**4 + 4*s**x + 28*s**2 - 28*s**2.
2*s**3*(s + 1)*(s + 2)
Let d(p) be the first derivative of -p**6/45 - p**5/10 - p**4/6 - p**3/9 + 48*p + 45. Let y(n) be the first derivative of d(n). Factor y(b).
-2*b*(b + 1)**3/3
Let x(i) = 10*i**2 - 92*i - 653. Let m(a) = -7*a**2 + 86*a + 654. Let r(c) = 3*m(c) + 2*x(c). Factor r(w).
-(w - 82)*(w + 8)
Let o be (-496692)/(-540) + -51 - (-7 + 2/2). Factor o*w + 162/5*w**2 + 39366/5 + 2/5*w**3.
2*(w + 27)**3/5
Let z be 8 + (-175)/21 - (2 + 153/(-54)). Factor 7*g - z*g**4 + 0 - 29/2*g**2 + 8*g**3.
-g*(g - 14)*(g - 1)**2/2
Let o(h) be the first derivative of -4*h - 1/12*h**3 - 95 + 5/4*h**2. Determine z so that o(z) = 0.
2, 8
Let w be (410/369)/(10/3 + 27/45*-5). Suppose -16/3*k + 40/3*k**2 - w*k**4 + 20*k**3 - 14/3*k**5 + 0 = 0. Calculate k.
-2, -1, 0, 2/7, 2
Determine x, given that 1430302 + 2636*x**2 + 2064178 - 8034*x - 2631*x**2 - 326*x = 0.
836
Let u(s) = s**4 - s - 1. Suppose t - 1 = -7. Let k(n) = 4*n**4 - n**3 - n**2 - 2*n - 3. Let i(p) = t*u(p) + 2*k(p). Factor i(g).
2*g*(g - 1)**2*(g + 1)
Let m(d) be the first derivative of -3*d**4/8 + 87*d**3/2 - 5805*d**2/4 + 5547*d/2 + 4424. Determine a, given that m(a) = 0.
1, 43
Let c(w) be the second derivative of 9 - 14*w - 79/18*w**3 - 13/3*w**2 - 1/12*w**4. Suppose c(u) = 0. Calculate u.
-26, -1/3
Solve 151*j**2 + j**4 - 3*j + 160*j**2 - 312*j**2 + 3*j**3 = 0.
-3, -1, 0, 1
Let q(y) = 467*y**3 - 722*y**2 + 302*y - 30. Let f(b) = -156*b**3 + 241*b**2 - 101*b + 10. Suppose -4*h = 8 + 60. Let u(i) = h*f(i) - 6*q(i). Factor u(w).
-5*(w - 1)*(5*w - 2)*(6*w - 1)
Suppose 3*o - 57 = -3*d, 3*d - 8 = -4*o + 54. Let r(q) be the first derivative of 3*q + 21/4*q**4 + 9*q**3 + 15/2*q**2 + d + 6/5*q**5. Factor r(g).
3*(g + 1)**3*(2*g + 1)
Determine t so that -753300*t - 62840*t**2 + 1612*t**4 + 12*t**5 + 71816*t**3 + 568090*t**2 - 364500 + 539110*t**2 = 0.
-45, -1/3, 1
Let w = -1182 + 1187. Let n be (-1)/(7/(-26 + w)). Let -32/5 - 266/5*f**2 - 7/10*f**5 - 79/10*f**4 - 176/5*f - 158/5*f**n = 0. What is f?
-4, -2, -1, -2/7
Factor 1603*d**4 + 168*d**3 - 1599*d**4 - 281*d + 737*d + 620*d**2.
4*d*(d + 1)*(d + 3)*(d + 38)
Let r(d) be the second derivative of d**5/90 - 5*d**4/9 + 25*d**3/3 + 362*d. Suppose r(s) = 0. What is s?
0, 15
Let h(c) be the second derivative of -10*c**7/21 + 14*c**6/5 + 201*c**5/5 + 139*c**4/3 - 24*c**3 - c - 1835. What is d in h(d) = 0?
-4, -1, 0, 1/5, 9
Factor -3348844/9*n - 4/9*n**5 + 830584/9 + 1132/9*n**4 + 3428650/9*n**2 - 107161/9*n**3.
-(n - 94)**3*(2*n - 1)**2/9
Let f be 3 + (-20)/(-70) + 24/14. Determine x, given that 2*x + 28 + 3*x**2 + 5*x**2 + 16*x - f*x**2 - x**2 = 0.
-7, -2
Find v such that -11957*v + 3240 + 1287*v**2 + 115*v**3 - 17*v**4 + 1036*v**2 + 167*v**2 - 103*v - 18*v**4 = 0.
-9, 2/7, 6
Let h = -1/1798 - -5399/8990. Let f(q) be the first derivative of 3/25*q**5 + 23 + 3*q**2 - 9/10*q**4 + 0*q + h*q**3. Find m, given that f(m) = 0.
-1, 0, 2, 5
Let r(g) = -g**3 - g**2 + 5*g + 1. Let f(j) = 9*j**3 - 765*j**2 + 49119*j + 49917. Let c(k) = f(k) + 6*r(k). Determine q so that c(q) = 0.
-1, 129
Let r = -13598 + 13598. Let v(k) be the third derivative of -16*k**2 - 1/4*k**3 + 0 - 1/8*k**5 + r*k - 3/160*k**6 - 9/32*k**4. Suppose v(f) = 0. Calculate f.
-2, -1, -1/3
Suppose 5*u + 4*n + 671 - 3059 = 0, -5*u = n - 2397. Suppose 484*a - u*a - 16 = 0. Find d, given that 17/4*d + 7/4*d**3 - 17/4*d**2 - 3/2 - 1/4*d**a = 0.
1, 2, 3
Let p(a) be the second derivative of -a**6/90 + 17*a**5/120 + 167*a**4/36 + 17*a**3/4 - 27*a**2/2 + 14*a + 16. Suppose p(s) = 0. Calculate s.
-9, -1, 1/2, 18
Let y(q) be the first derivative of q**5/15 + 5*q**4/12 - 88*q**3/9 + 104*