*d**2 + 0*d**2.
5*d*(d - 2)*(d + 1)**2
Let r(g) be the third derivative of -g**7/5040 - g**6/480 + g**5/60 - 4*g**4/3 + 25*g**2. Let w(f) be the second derivative of r(f). Find p such that w(p) = 0.
-4, 1
Suppose 5*d + 10006 = -2*u, 2*u + 1767 = 2*d - 8239. Let a = -34947/7 - u. Determine k so that -8/7 - 18/7*k**4 - a*k**2 - 40/7*k - 60/7*k**3 = 0.
-1, -2/3
Find n, given that 0 - 2/7*n**2 - 16/7*n = 0.
-8, 0
Let m(v) be the first derivative of 2/7*v + 12 - 1/2*v**2 - 4/21*v**3. What is i in m(i) = 0?
-2, 1/4
Let i(d) be the second derivative of -d**7/5880 + d**6/120 - 7*d**5/40 - 3*d**4/2 - 15*d. Let l(z) be the third derivative of i(z). Factor l(k).
-3*(k - 7)**2/7
Let l(s) be the third derivative of 1/240*s**5 + 0*s - 1/840*s**7 - 1/1344*s**8 + 0*s**4 + 0 + 1/480*s**6 - 22*s**2 + 0*s**3. Find t, given that l(t) = 0.
-1, 0, 1
Let o = -2/677 - -719/14217. Let n(l) be the second derivative of -5*l - 1/70*l**5 + 0 + o*l**3 - 1/7*l**2 + 1/42*l**4. Factor n(p).
-2*(p - 1)**2*(p + 1)/7
Let r = -87 + 90. Factor -4*c + r*c**2 - 6 + 13*c - 12*c.
3*(c - 2)*(c + 1)
Factor 1/6*t**2 + 19/3 + 7/2*t.
(t + 2)*(t + 19)/6
Determine j, given that 2888/3 + 2/3*j**2 - 152/3*j = 0.
38
Factor -6/13*s**2 + 6/13 - 2/13*s**3 + 2/13*s.
-2*(s - 1)*(s + 1)*(s + 3)/13
Let b(m) be the first derivative of 5*m**4/4 + 10*m**3/3 - 50*m**2 + 120*m - 18. Solve b(s) = 0 for s.
-6, 2
Suppose 0 = y + 4, b - y - 8 = -0*y. Suppose 3*o + 2 = b*o. Factor 4*a**5 - 2*a**3 - 4*a**4 - o*a**4 - 6*a**3 + 10*a**4.
4*a**3*(a - 1)*(a + 2)
Suppose -287*c + 172*c + 172*c = 0. Factor -1/9*v**4 - 1/9*v**5 + 0*v**3 + c*v + 0 + 0*v**2.
-v**4*(v + 1)/9
Let h be (-5)/5 + 150/14 + (37 - 42). Factor -h - 30/7*a + 3/7*a**2.
3*(a - 11)*(a + 1)/7
Factor -2/3*k**5 - 2/3*k - 4*k**3 - 8/3*k**2 - 8/3*k**4 + 0.
-2*k*(k + 1)**4/3
Let l(m) = 3*m - 9. Let k be l(4). Let r = -1603/6 - -545/2. Factor -8*z**2 - 4/3 + 16/3*z + r*z**k - 4/3*z**4.
-4*(z - 1)**4/3
Let h = 9 - 1. Suppose h*n - 17 = 4*n + 3*j, -4*j = 4*n + 4. Factor 3*o + 0 + 1 + o + 1 + n*o**2.
2*(o + 1)**2
Let x = 1/53 - -577/318. Factor -x*l**2 - 1/3 + 13/6*l.
-(l - 1)*(11*l - 2)/6
Let i(j) = -18*j - 9. Let y be i(-4). Suppose y = 3*g - 0. Factor 3*n**2 + g - 23 - 3*n - n**4 - n**3 + 4*n.
-(n - 1)**2*(n + 1)*(n + 2)
Let k(p) be the second derivative of 0 + 39*p + 1/6*p**4 - 4*p**3 - 13*p**2. Let k(c) = 0. Calculate c.
-1, 13
Determine o, given that o**2 + 24 + 6 - 7 - 24*o = 0.
1, 23
Suppose 3*b - 10 = -3*g - 2*b, 2*g + 4*b - 4 = 0. Suppose 4 = g*f - 9*f. Factor -8*m**2 - f*m - 129 + 129 + 32*m**3.
4*m*(2*m - 1)*(4*m + 1)
Let u be (-1)/((-1)/(9/3)). Let j(x) = -x**2 + 4*x. Let g be j(u). Suppose -4*b**5 - 3*b**4 + 2*b**3 + 3*b**2 + b**g + b**5 = 0. What is b?
-1, 0, 1
Let w(m) be the first derivative of m**6/30 - 3*m**5/25 - m**4/10 + 4*m**3/5 - 4*m**2/5 - 418. Factor w(q).
q*(q - 2)**2*(q - 1)*(q + 2)/5
Let u(q) be the second derivative of -5*q**7/21 - 9*q**6/5 - q**5 - 205*q. Factor u(b).
-2*b**3*(b + 5)*(5*b + 2)
Let l(k) be the second derivative of -2*k**6/15 + 5*k**4/3 - 8*k**2 + 4*k + 85. Determine m, given that l(m) = 0.
-2, -1, 1, 2
Suppose -2896/3*n**2 + 2/3*n**5 + 704/3*n**3 + 352/3*n + 82/3*n**4 + 3872/3 = 0. What is n?
-22, -1, 2
Let j(h) = -12*h**2 + 20*h - 8. Let k(l) = -2*l**2 + l - 1. Let z(r) = -j(r) + 8*k(r). Factor z(x).
-4*x*(x + 3)
Factor 0*d - d**3 + 24 - 15*d - 10*d**2 + 13*d - 11*d.
-(d - 1)*(d + 3)*(d + 8)
Suppose 630 - 670 = -20*p. Determine t, given that 2 + 0*t - 3/2*t**p - 1/2*t**3 = 0.
-2, 1
Let f(c) be the third derivative of c**6/96 - 17*c**5/240 + c**4/6 - c**3/6 + 23*c**2. Determine u so that f(u) = 0.
2/5, 1, 2
Let c(t) be the first derivative of 45*t**5/4 + 255*t**4/8 + 349*t**3/12 + 17*t**2/2 + t - 30. Factor c(o).
(o + 1)**2*(15*o + 2)**2/4
Factor -41 - 814*u**2 - 174*u**4 - 492*u - 47 - 345*u**3 + 149*u**4.
-(u + 2)*(u + 11)*(5*u + 2)**2
Let t be (-249)/7*(-30)/(-10). Let j = t + 107. Solve 0 - 4/7*g - j*g**2 = 0.
-2, 0
Let s(t) be the third derivative of -7/12*t**4 + 23*t**2 + 0 + 1/30*t**5 + 0*t**3 + 0*t. Find x, given that s(x) = 0.
0, 7
Let g = 14 - -5. Factor 8 + 24*k - g - 4*k**2 - 25.
-4*(k - 3)**2
Let m(c) be the second derivative of 675*c**6/4 + 945*c**5/8 - 45*c**4/2 - 44*c**3 - 16*c**2 - 184*c. Factor m(h).
(3*h - 1)*(15*h + 4)**3/2
Solve t + 0 - 1/8*t**2 = 0.
0, 8
Factor -364*k**3 - 64*k + 13*k**2 + 52 + 365*k**3 + 16.
(k - 2)**2*(k + 17)
Let y = 2 + 1. Suppose -6*h = -7 - 11. Factor 2*j**2 - h*j**y - 2*j**3 + 5*j**3 - j**3 - j.
-j*(j - 1)**2
Suppose 4*m - 8 = 4*i, 4 = -2*m + 14. Find k, given that -20 - 15*k + 5*k**i - 10*k**2 - 20*k + 0*k**2 = 0.
-1, 4
Let p = 130 - 128. Suppose 0 = -6*q + p*q - 2*q. Factor -3/2*r + q + 3/4*r**2.
3*r*(r - 2)/4
Suppose 0 = f + 4*u + 6 - 23, -u - 1 = 0. Determine j so that 16*j - 8*j**2 - 16*j**3 + 12 + 5*j**4 - f*j**4 + 12*j**4 = 0.
-3, -1, 1
Let h(x) = -x**3 + 3*x + 1. Let y be h(-2). Suppose -5 - y = -g - 3*z, -5*g + 12 = z. Factor 0*a**g + 2/3*a**3 + 0*a + 2/3*a**5 - 4/3*a**4 + 0.
2*a**3*(a - 1)**2/3
Let m(s) be the first derivative of -80*s - 20*s**2 + 5 - 5/3*s**3. Determine t, given that m(t) = 0.
-4
Let j(d) be the second derivative of 3*d**5/20 + 23*d**4 + 2021*d**3/2 - 6627*d**2 - 578*d. Let j(s) = 0. Calculate s.
-47, 2
Let q be (-10)/(-6) - 10/(-30). Factor -6 + 5 + 4*p**q - 6*p - p**2 - 23.
3*(p - 4)*(p + 2)
Let a(x) = x**3 + x**2 - x. Let s(n) = 4*n**3 - 13*n - 4. Suppose -37 = -4*m - 17. Let b(i) = m*a(i) - s(i). Factor b(c).
(c + 1)*(c + 2)**2
Let n(g) = -7*g**2 - 8*g - 9. Let s(c) be the second derivative of -1/2*c**4 - 3/2*c**3 + 0 - 9/2*c**2 - 5*c. Let f(b) = 3*n(b) - 4*s(b). Factor f(h).
3*(h + 1)*(h + 3)
Let i(t) = -11*t**2 + 87*t - 220. Let q(n) = -9*n**2 + 83*n - 220. Let p(v) = 2*i(v) - 3*q(v). Let p(u) = 0. Calculate u.
4, 11
Let h = -37 + 27. Let i be ((-5)/h)/((-1)/(-4)). What is l in -5*l**5 + 3*l**3 + 5*l**4 - 3*l**2 - i*l**3 - 2*l**2 + 4*l**3 = 0?
-1, 0, 1
Let g(q) be the second derivative of 1/42*q**7 - 6 + 2*q - 1/30*q**6 - 1/4*q**5 + 4/3*q**3 + 1/12*q**4 + 2*q**2. What is t in g(t) = 0?
-1, 2
Let u(i) be the third derivative of i**8/151200 + i**7/4725 + 2*i**6/675 - 23*i**5/60 - 10*i**2. Let g(s) be the third derivative of u(s). Factor g(l).
2*(l + 4)**2/15
Let y(l) be the third derivative of -l**5/12 + 5*l**4/8 - 5*l**3/3 + 3*l**2 - 3*l. Factor y(d).
-5*(d - 2)*(d - 1)
Factor -5/7*b**3 + 1/7*b**4 - 3/7*b + b**2 + 0.
b*(b - 3)*(b - 1)**2/7
Let w(j) be the third derivative of -j**8/112 - 3*j**7/35 - 9*j**6/40 - j**5/5 + 753*j**2. Factor w(k).
-3*k**2*(k + 1)**2*(k + 4)
Let k(h) = h + 2. Let j be k(-4). Let x be (-236)/(-20) - j/10. Factor 2 + x*g**2 - 2 - 3*g - 13*g**2.
-g*(g + 3)
Let f be 1/(4/20*1*1). Suppose -29 + 39 = f*x. Determine w so that -1/4*w**4 + 0 + 7*w**5 + 1/4*w**x + 1/2*w - 15/2*w**3 = 0.
-1, -1/4, 0, 2/7, 1
Suppose -151*j = -149*j - 12. Let p(z) be the first derivative of -2/9*z**3 + 0*z + 0*z**2 + 7/15*z**5 - j + 5/12*z**4. Find w such that p(w) = 0.
-1, 0, 2/7
Suppose 2*a + 15 = 7*a. Suppose 16 = 4*z + 4*p - 8, z = a*p - 2. Factor 0*b + 11*b**4 - b**2 - 10*b**z + b**3 - b.
b*(b - 1)*(b + 1)**2
Let g(k) be the third derivative of k**5/20 + 37*k**4/8 + 51*k**3 + 13*k**2 + 15*k. Let g(c) = 0. Calculate c.
-34, -3
Suppose 10*s = -278 + 278. Let f(w) be the first derivative of -1/20*w**4 - 5 + 0*w**2 + s*w - 1/15*w**3. Factor f(m).
-m**2*(m + 1)/5
Let v(l) be the second derivative of -13*l + 2/7*l**2 + 2/7*l**4 + 3/7*l**3 + 1/14*l**5 + 0. Suppose v(k) = 0. Calculate k.
-1, -2/5
Suppose 5*r - 17 = -2. What is w in 5*w**4 - 17*w**5 - 5*w**2 + 14*w**5 + 6*w**5 + 2*w - 5*w**r = 0?
-2, -1, 0, 1/3, 1
Let y = 98 - 84. Let t(l) = -l**3 - 13*l**2 - 5*l + 7. Let q(j) = -4*j**2 - 2*j + 2. Let b(r) = y*q(r) - 4*t(r). Determine h, given that b(h) = 0.
-1, 0, 2
Let x(f) be the first derivative of -2*f**6/9 + 8*f**5/15 + f**4/3 - 8*f**3/9 + 249. What is l in x(l) = 0?
-1, 0, 1, 2
Solve -181*f + 88*f + 7*f**2 + 6*f**3 - 11*f**3 + f**4 + 90*f = 0.
0, 1, 3
Suppose -20*p = 353 - 413. Let h(d) be the first derivative of -3*d**4 - 16*d - 64/3*d**p - 34*d**2 + 12. Factor h(k).
-4*(k + 1)*(k + 4)*(3*k + 1)
Suppose -2*v = v + 153. Let g be v/(-18) - (-2)/12. Solve -45*d + 21*d + d**5 + 4*d**2 - 16 + d**5 + 22*d**g + 12*d**4 = 0 for d.
-2, -1, 