*5 + 0*a**3. Factor s(x).
-2*x**2*(x - 5)/3
Let i(h) be the third derivative of -h**7/280 - h**6/160 + h**5/40 - 4*h**2 + 3. Factor i(m).
-3*m**2*(m - 1)*(m + 2)/4
Suppose 15*o - 66 - 9 = 0. Suppose -4*u + 5*p = 8*p - 16, -o*u + 3*p + 20 = 0. Factor 2/5*t**3 + 0*t - 1/5*t**2 + 0 + 4/5*t**5 + 7/5*t**u.
t**2*(t + 1)**2*(4*t - 1)/5
Let u(z) be the second derivative of z**4/21 - 68*z**3/21 - 222*z**2/7 - 327*z + 2. Factor u(w).
4*(w - 37)*(w + 3)/7
Let t(y) = -26*y**3 + 1010*y**2 - 20174*y - 21154. Let m(k) = 9*k**3 - 337*k**2 + 6725*k + 7051. Let u(p) = -14*m(p) - 5*t(p). Suppose u(a) = 0. Calculate a.
-1, 42
Suppose 822*t - 10 = 817*t. Let 14/3*x + t + 8/3*x**2 = 0. What is x?
-1, -3/4
Let j(y) be the second derivative of 1/3*y**4 - 4*y + 2/3*y**3 + 0 - 12*y**2. Factor j(p).
4*(p - 2)*(p + 3)
Let y(p) = p**2 - 179*p + 7574. Let x(b) = -b**2 + 178*b - 7573. Let g(j) = 5*x(j) + 4*y(j). Let g(s) = 0. Calculate s.
87
Let j = -14/3 - -59/12. Let f(p) be the second derivative of 0*p**3 + j*p**4 + 0 + 0*p**2 + 5*p. Factor f(a).
3*a**2
Let j be ((-4)/64)/((-12)/16). Let z(g) be the first derivative of -3/16*g**4 + 3/8*g**2 - 1/20*g**5 - 1 + 1/2*g - j*g**3. Determine k so that z(k) = 0.
-2, -1, 1
Let y be 4 - (15 - 15)/12. Suppose -10/3*x**3 - 2/3*x**2 + 0 - 4/3*x**y + 4/3*x = 0. What is x?
-2, -1, 0, 1/2
Suppose -5*r + 2 + 16 = 4*f, -f = -2. Factor 6*h - h - 19*h**2 + 14*h**r.
-5*h*(h - 1)
Suppose 5*p - 10 = y, 726*p - 2 = 725*p - 4*y. Find x, given that 0*x + 3/4*x**p - 3/4*x**5 + 3/4*x**3 - 3/4*x**4 + 0 = 0.
-1, 0, 1
Let j(i) be the second derivative of i**5/12 - 5*i**4/8 + 5*i**3/3 - 8*i**2 + 5*i. Let v(k) be the first derivative of j(k). Determine o, given that v(o) = 0.
1, 2
Factor 91/2 + 1/2*a**2 - 46*a.
(a - 91)*(a - 1)/2
Find i, given that 184815*i + 4*i**3 - 1665*i**2 - 7037256 - 2864539 + 3063640 + i**3 = 0.
111
Let n(f) = -3*f + 8. Let k be n(2). Solve 2 + 3*z + 38*z**4 - 90*z**2 + 46*z**4 + 2 - 3*z**3 + k = 0 for z.
-1, -1/4, 2/7, 1
Let p(f) be the first derivative of f**5/70 - f**4/6 + 8*f**3/21 - 2*f**2 - 17. Let x(g) be the second derivative of p(g). Solve x(n) = 0 for n.
2/3, 4
Let f(g) be the second derivative of -g**5/80 - 13*g**4/6 - 101*g**3/6 - 50*g**2 - 202*g - 2. Solve f(c) = 0 for c.
-100, -2
Let u(v) be the third derivative of v**10/8064 - v**9/8064 + v**8/26880 + 2*v**5/15 - 21*v**2. Let k(h) be the third derivative of u(h). What is w in k(w) = 0?
0, 1/5
Suppose 14*f - 18 = 10*f - 2*z, -5*f + 24 = z. Find n such that -2/3*n**f - 5/6*n**3 - 4/3*n**2 + 1/2*n + 2*n**4 + 1/3 = 0.
-1/2, 1, 2
Let h(j) = j**3 - 18*j**2 + 26*j + 99. Let w be h(16). Factor -2/9*n**w + 20/9 - 2/3*n - 4/3*n**2.
-2*(n - 1)*(n + 2)*(n + 5)/9
Factor 0 - 654/5*k**2 - 3/5*k - 35643/5*k**3.
-3*k*(109*k + 1)**2/5
Let g be 0 + 2 - (2 + -2). Let p(v) = v**2 - 4*v + 7. Let m be p(g). Factor 14/3*x**m + 2/3 + 6*x**2 + 4/3*x**4 + 10/3*x.
2*(x + 1)**3*(2*x + 1)/3
Determine d, given that -98/5*d**4 - 554/5*d**2 - 532/5*d**3 - 72/5 + 456/5*d = 0.
-3, 2/7
Let b(r) be the third derivative of r**8/784 - 11*r**7/490 + r**6/28 + 132*r**2. What is g in b(g) = 0?
0, 1, 10
Let r = -300 + 302. Let s(a) be the first derivative of -3 + 1/24*a**3 + 2*a + 1/2*a**r. Solve s(v) = 0.
-4
Factor -2/5*w**4 + 0 - 76/5*w - 154/5*w**2 - 16*w**3.
-2*w*(w + 1)**2*(w + 38)/5
Let u(s) be the second derivative of -11*s**5/30 + 164*s**4/9 - 805*s**3/3 - 150*s**2 + 45*s - 1. Factor u(v).
-2*(v - 15)**2*(11*v + 2)/3
Let i be (-1)/165*-291 + 406/(-290). What is x in 0*x + 2/11*x**4 - 6/11*x**2 - i*x**3 + 0 = 0?
-1, 0, 3
Let z = -36070 - -108212/3. Let -10/3*b**2 + 14/3*b**3 - 14/3*b + 4 - z*b**4 = 0. Calculate b.
-1, 1, 6
Let m(g) be the second derivative of g**4/15 + 17*g**3/10 - 13*g**2/10 - 7*g + 2. Find d, given that m(d) = 0.
-13, 1/4
Let c(p) be the third derivative of p**8/2240 + p**7/420 + p**6/240 + 41*p**4/24 - 20*p**2. Let n(i) be the second derivative of c(i). Let n(o) = 0. What is o?
-1, 0
Let h be 2*15/5*(-2)/4. Let p be 3/h*(1 + 2 + -6). Suppose 4/5*m**p + 0*m**2 + 2/5*m**5 - 6/5*m**4 + 0*m + 0 = 0. Calculate m.
0, 1, 2
Let p(r) be the first derivative of r**7/84 - r**6/15 + 3*r**5/20 - r**4/6 - 20*r**3/3 - 6. Let l(h) be the third derivative of p(h). Factor l(b).
2*(b - 1)**2*(5*b - 2)
Solve -144*r**2 + 154*r**2 - 84 - 50*r + 61*r - 145*r = 0.
-3/5, 14
Let c(g) be the third derivative of g**5/30 - 17*g**4/12 + 16*g**3/3 - 89*g**2. Factor c(a).
2*(a - 16)*(a - 1)
Suppose -b = 7*b - 16. What is p in -8*p**3 + 0*p + 2*p + b*p + 4*p**5 = 0?
-1, 0, 1
Let u be -21*5/(-15) + -5. Suppose 2*k = -3*k. Determine h, given that k*h + 3/7*h**4 + 0 + 0*h**u - 6/7*h**3 = 0.
0, 2
Let c(h) be the first derivative of 4*h**3/3 - 188*h**2 + 8836*h + 129. What is d in c(d) = 0?
47
Let n(p) be the third derivative of p**2 + 0*p**3 - 1/2*p**4 - 1/5*p**5 + 1/70*p**7 + 1/40*p**6 + 0*p + 0. Factor n(b).
3*b*(b - 2)*(b + 1)*(b + 2)
Let a(z) = 14*z**2 + 10*z + 20. Let v be a(-5). Solve v*p + 0 - 32 - 132*p + 4*p**4 - 12*p**3 - 8*p**2 - 140*p = 0.
-2, 1, 2
Factor -39/10*r + 0 - 1/10*r**2.
-r*(r + 39)/10
Suppose -2*p = 4*r - 6, p + 22 = -5*r + 37. Factor -1/4*w**r + 1/2*w - 3/4 + w**2 - 1/2*w**3.
-(w - 1)**2*(w + 1)*(w + 3)/4
Let i(j) be the first derivative of j**6/6 + 9*j**5/5 + 23*j**4/4 + 7*j**3/3 - 12*j**2 - 16*j + 211. Determine r, given that i(r) = 0.
-4, -1, 1
Let u(r) be the second derivative of 1/3*r**3 + 0*r**2 + 24*r + 1/6*r**4 + 0. Factor u(p).
2*p*(p + 1)
Let p = -26848/35 + 5378/7. Factor 1/5*b**3 - 6/5*b**2 - 1/5*b + p.
(b - 6)*(b - 1)*(b + 1)/5
Let i(f) = f**2 - 23*f**4 + 22*f**4 - 2*f**2 + 0*f**2. Let q(t) = 4*t**5 + 10*t**4 - 12*t**3 - 14*t**2 - 8*t. Let p(d) = 6*i(d) + q(d). Factor p(z).
4*z*(z - 2)*(z + 1)**3
Let x(k) be the second derivative of -k**4/3 + 10*k**3/3 - 8*k**2 - k + 26. Find b such that x(b) = 0.
1, 4
Let v(h) be the second derivative of -h**7/3 + 47*h**6/15 - 14*h**5/5 - 118*h**4/3 + 160*h**3/3 + 64*h**2 - 95*h. Find r such that v(r) = 0.
-2, -2/7, 1, 4
Suppose -2*w - 2*w + 3*f - 111 = 0, -4*w + 5*f - 105 = 0. Let a be (-40)/w*(-3)/(-2). Let -2*g**2 + 5*g**2 - 9 + a*g + 3*g + g = 0. What is g?
-3, 1
Suppose -4/3*k**2 + 184/3*k - 2116/3 = 0. What is k?
23
Let q(y) be the first derivative of 0*y - 26/55*y**5 - 1/11*y**6 - 21 + 2*y**3 + 1/22*y**4 - 18/11*y**2. Solve q(d) = 0 for d.
-3, 0, 2/3, 1
Let v(s) be the third derivative of 0 - 5/36*s**4 - 35*s**2 + 5/18*s**3 + 1/36*s**5 + 0*s. Factor v(n).
5*(n - 1)**2/3
Factor 34/7*a**2 + 2/7*a**3 + 0 + 32/7*a.
2*a*(a + 1)*(a + 16)/7
Let 290/3*x**2 + 0 - 35/3*x**3 - 25/3*x**4 + 40*x = 0. Calculate x.
-4, -2/5, 0, 3
Let t(y) be the first derivative of 28*y**3/3 - 90*y**2 + 72*y - 77. What is s in t(s) = 0?
3/7, 6
Determine n, given that 0 + 136/5*n**4 - 84*n**3 + 2/5*n**5 + 424/5*n**2 - 142/5*n = 0.
-71, 0, 1
Let u(p) be the first derivative of -p**6/2 - 36*p**5/5 + 39*p**4/4 + 195. Factor u(n).
-3*n**3*(n - 1)*(n + 13)
Let y(w) be the third derivative of 0*w + 0*w**3 + 1/300*w**6 + 0 + 0*w**4 - 1/450*w**5 - 6*w**2. Factor y(l).
2*l**2*(3*l - 1)/15
Let t = 62619/5 + -12495. Factor -t + 24/5*k - 1/5*k**2.
-(k - 12)**2/5
Let t(d) = d**3. Let w(h) = 4*h**3 + 3*h**2 - 12*h + h**3 - 4*h**3 + 6*h. Let f(l) = 2*t(l) + w(l). Factor f(q).
3*q*(q - 1)*(q + 2)
Suppose 0 = 7*m + 11 + 3. Let j be (-2 + 0 + 2)/(m/2). Determine s, given that 1/2*s**3 + 1/4 + j*s - 3/4*s**2 = 0.
-1/2, 1
Let n(k) be the first derivative of 5*k**4/4 + 25*k**3/3 + 5*k**2 - 40*k + 97. Let n(h) = 0. What is h?
-4, -2, 1
Let a(p) = 3*p**2 - 22*p + 19. Let d(z) = -3*z**2 + 23*z - 20. Let o(k) = -4*a(k) - 5*d(k). Let o(g) = 0. What is g?
1, 8
Suppose 30*o + 48 = 46*o. Factor 6/5*u**o + 0 - 3/5*u + 0*u**2 - 3/5*u**5 + 0*u**4.
-3*u*(u - 1)**2*(u + 1)**2/5
Let p(s) be the first derivative of -10 + 2*s**3 + 2*s + 5*s**2 - 9/2*s**4. Factor p(y).
-2*(y - 1)*(3*y + 1)**2
Let x(n) be the second derivative of -3*n**5/160 - n**4/4 - 13*n**3/16 - 9*n**2/8 - 201*n. Factor x(s).
-3*(s + 1)**2*(s + 6)/8
Find q such that -16*q**4 + 280*q**2 + 676*q**5 + 683*q**5 - 1355*q**5 - 1152 + 384*q - 76*q**3 = 0.
-3, 2, 4
Let t(m) be the first derivative of -3*m**4/20 - 8*m**3/5 - 39*m**2/10 - 18*m/5 + 7. Let t(l) = 0. Calculate l.
-6, -1
Let l(k) be the second derivative of -3/8*k**3 + 14*k + 1/16*k*