.
-1, -2/5, 1
Let z(r) be the second derivative of -r**5/12 - 5*r**4/24 + 5*r**3 - 5*r**2/2 - 22*r. Let i(y) be the first derivative of z(y). Factor i(d).
-5*(d - 2)*(d + 3)
Let x(r) be the second derivative of r**8/2352 - r**6/420 + r**4/168 - 11*r**2 - 20*r. Let k(n) be the first derivative of x(n). Solve k(g) = 0 for g.
-1, 0, 1
Let c = -8 + 8. Let m(x) be the third derivative of c + x**2 - 1/6*x**4 + 0*x - 1/10*x**5 - 1/30*x**6 - 1/210*x**7 - 1/6*x**3. Factor m(b).
-(b + 1)**4
Factor -9*q**3 + 60 + 33*q**3 - 8*q**3 - 8*q - 52*q**2.
4*(q - 3)*(q + 1)*(4*q - 5)
Let i(y) = -13*y**4 - 24*y**3 + 63*y**2 + 19*y - 60. Let c(u) = 63*u**4 + 120*u**3 - 315*u**2 - 96*u + 300. Let v(d) = 5*c(d) + 24*i(d). What is q in v(q) = 0?
-10, -1, 1, 2
Let s be (-2 + -4 + 1)/(-1). Suppose 0 = y + s*p + 16, -4*p - 3 = y + 9. Find k, given that -3*k + y*k**2 + 8*k + k - k**2 = 0.
-2, 0
Let j = -23 - -31. What is r in -j*r**4 - 4*r**5 + 22*r**3 + 4*r + 7*r**2 - 22*r**3 + r**2 = 0?
-1, 0, 1
Let d(h) be the second derivative of 1/72*h**4 - 10*h + 1/6*h**2 + 0 - 1/12*h**3. Let d(z) = 0. Calculate z.
1, 2
Let u(w) be the second derivative of w**7/14 - 3*w**6/10 + 3*w**5/20 + 3*w**4/4 - w**3 - 7*w + 2. Find d, given that u(d) = 0.
-1, 0, 1, 2
Let v(w) = -w**2 + 26*w + 2. Let y be v(26). Factor 242*u**y - 30*u**3 - 112*u**2 - 5*u**4 + 10*u**4 - 85*u**2.
5*u**2*(u - 3)**2
Let w(i) = 4*i**2 - 10*i + 8. Let h(k) = -7*k**2 + 11*k - 7. Let r(p) = 4*h(p) + 6*w(p). Solve r(z) = 0 for z.
-5, 1
Let k(m) be the second derivative of 13*m**5/36 + 5*m**4/36 + 11*m**2/2 + 3*m. Let n(d) be the first derivative of k(d). Factor n(x).
5*x*(13*x + 2)/3
Let r(u) be the second derivative of 15*u + 4*u**3 + 1/6*u**4 + 0*u**2 + 0. Factor r(d).
2*d*(d + 12)
Let r(u) be the first derivative of -u**7/2520 - u**6/360 - u**5/120 - u**4/72 - 7*u**3 + 5. Let w(z) be the third derivative of r(z). Factor w(s).
-(s + 1)**3/3
Let j = -7132/255 - -480/17. Suppose j*w**2 + 0 - 2/5*w**4 + 0*w - 2/15*w**3 = 0. Calculate w.
-1, 0, 2/3
Let d(a) = -a + 12. Let y be d(7). Suppose -4*h + 3*h = v - 10, 0 = -3*h + y*v + 30. Let h*o + 4*o**2 - 6*o + 0 + 0 = 0. What is o?
-1, 0
Let p(y) be the second derivative of y**5/60 + 7*y**4/36 + 5*y**3/6 + 3*y**2/2 + 254*y. Factor p(x).
(x + 1)*(x + 3)**2/3
Let r(l) be the third derivative of -l**6/48 - 3*l**5/2 - 40*l**4 - 1280*l**3/3 - 123*l**2. Find w, given that r(w) = 0.
-16, -4
Let l(j) be the second derivative of -1/180*j**5 + 1/54*j**3 + 0 + 1/9*j**2 - 17*j - 1/54*j**4. Determine u so that l(u) = 0.
-2, -1, 1
Let h(p) be the first derivative of p**6/18 - p**5/3 - 7*p**4/12 + 5*p**3/9 + p**2 + 111. Suppose h(b) = 0. What is b?
-1, 0, 1, 6
Let q = -12 + 81. Solve 63 + q - 128 - 3*b - b**2 = 0.
-4, 1
Let m(q) = -4*q + 10. Let n = 63 + -61. Let g be m(n). Factor 0 - 1/2*a**4 - a - 5/2*a**2 - g*a**3.
-a*(a + 1)**2*(a + 2)/2
Let c(z) = -z**3 - z + 1. Let p(y) = 5*y**3 + 6*y**2 + 4*y - 4. Let s(g) = -4*c(g) - p(g). Factor s(x).
-x**2*(x + 6)
Factor -6/5*j**4 - 18/5*j**2 + 24/5*j**3 + 0*j + 0.
-6*j**2*(j - 3)*(j - 1)/5
Let a = -4383/16 - -274. Let d(m) be the first derivative of 3/8*m**2 - 6 + a*m**4 + 0*m + 1/3*m**3. Find q, given that d(q) = 0.
-3, -1, 0
Suppose 15*n - 10*n - 2*h = 7, -4*h + 10 = -2*n. Factor 0*v**2 + 4/7*v + 0 - 4/7*v**n.
-4*v*(v - 1)*(v + 1)/7
Let f(d) = -d + 3. Let v be f(-8). Suppose -1 = 5*m - v. Factor 0 - 4*r**2 - 2 + 6*r + m*r**3 + 5*r**2 - 7*r**2.
2*(r - 1)**3
Let u(m) be the second derivative of -3*m**5/40 + 5*m**4/8 + m**3/4 - 15*m**2/4 + 84*m. Let u(j) = 0. What is j?
-1, 1, 5
Let a = 783 - 783. Let n(h) be the third derivative of 4/15*h**5 + 2/3*h**4 + 0*h**3 + 1/30*h**6 + 0 + a*h + 7*h**2. Factor n(t).
4*t*(t + 2)**2
Let 144/7*y**4 + 3/7*y**5 + 2304/7*y**3 + 12288/7*y**2 + 0*y + 0 = 0. Calculate y.
-16, 0
Let l be 72/230 + (-2)/5. Let n = l + 29/69. Suppose d + 2/3 + n*d**2 = 0. Calculate d.
-2, -1
Suppose c - s = -0*c + 24, -58 = -2*c + 4*s. Let g = c + -19. Factor -5*l**2 + 1 + 6*l**2 + g*l - 2*l.
(l - 1)**2
Let a = -15948 - -15950. Let 0 + 2/13*r**5 - 8/13*r**3 + 6/13*r - 4/13*r**a + 4/13*r**4 = 0. Calculate r.
-3, -1, 0, 1
Let l(u) be the second derivative of u**7/105 - 2*u**6/75 - 6*u**5/25 + 3*u**4/5 + 9*u**3/5 + 4*u + 5. Let l(z) = 0. Calculate z.
-3, -1, 0, 3
Suppose -111 = 2*p - 117. Solve -36*g**2 + 16*g**p + 31 + 24*g - 66 + 31 = 0 for g.
1/4, 1
Let n(k) be the first derivative of -2/45*k**3 + 2/15*k + 0*k**2 + 24. Find c, given that n(c) = 0.
-1, 1
Let a(u) = -8*u + 3 + 6 - u**3 + 4*u**2 - 10. Let w(s) = 0*s**3 - 3*s - 4*s**2 + 10*s + s**3. Let o(h) = 4*a(h) + 6*w(h). Factor o(i).
2*(i - 2)*(i - 1)**2
Let g(x) be the first derivative of 2*x**3/33 - 7*x**2/11 - 16*x/11 + 129. Let g(i) = 0. What is i?
-1, 8
Let n(w) = 3*w**3 + 7*w**2 - 14*w - 10. Let u(q) = -10*q**3 - 22*q**2 + 41*q + 29. Let v(c) = 7*n(c) + 2*u(c). Let m be v(-7). Factor -3/8*k**m - 3/8*k + 0.
-3*k*(k + 1)/8
Let k(q) be the first derivative of q**4/20 + 6*q**3/5 + 17*q**2/10 - 719. Solve k(x) = 0 for x.
-17, -1, 0
Let b be 4/5 + (-144)/80 - 0. Let j be (-1 - b)/(7 - 4). Suppose -3/2*d**2 + 3/4*d**3 + j + 0*d = 0. What is d?
0, 2
Find l such that -8*l**2 - 2*l**4 - 2137*l**5 - 4*l**4 + 24*l**3 + 2127*l**5 = 0.
-2, 0, 2/5, 1
Let d = -6/233 + 520/2097. Factor -d*x**3 + 2/9*x**4 + 2/9*x + 0 - 2/9*x**2.
2*x*(x - 1)**2*(x + 1)/9
Let o(v) be the second derivative of v**5/150 - v**4/60 - 2*v**3/5 - 4*v**2 - 16*v. Let f(j) be the first derivative of o(j). Solve f(n) = 0.
-2, 3
Let u(h) = -3*h**2 + 50*h + 29. Let x(c) = c**2 + 2*c - 1. Let d(p) = -u(p) + 3*x(p). Factor d(f).
2*(f - 8)*(3*f + 2)
Suppose -2*l - 4739 = 2*h - 4723, 4*l = h + 18. Find m, given that 2/9*m**4 - 8/3*m**3 - 40/3*m + 50/9 + 92/9*m**l = 0.
1, 5
Let z = -515 + 518. Factor 1/4*t**5 + 0 + 9/2*t**z - 7/4*t**4 + 2*t - 5*t**2.
t*(t - 2)**3*(t - 1)/4
Suppose -14*z + 11*z - 8 = 2*j, -20 = 4*z + 5*j. Let q(b) be the second derivative of 0*b**2 + 2*b - 1/18*b**4 + 0 - 1/30*b**5 + z*b**3. Factor q(g).
-2*g**2*(g + 1)/3
Let j = -4/3057 - -1360/1019. Factor 8/3*m**3 + 16/9*m**2 + j*m**4 + 2/9*m**5 + 0*m + 0.
2*m**2*(m + 2)**3/9
Let f(q) be the second derivative of q**5/20 - 3*q**4/4 + 5*q**3/2 - 7*q**2/2 + 5*q + 2. Let f(c) = 0. Calculate c.
1, 7
Let r(l) = l**3 - 12*l**2 + 2*l + 8. Let u be r(12). Solve -6 + 24*a**2 + 22 + a**4 - u*a + 3*a**3 - 11*a**3 = 0 for a.
2
Let d(c) be the second derivative of -13*c**5/110 + 4*c**4/11 - 3*c**3/11 - 2*c**2/11 + 196*c. Suppose d(n) = 0. Calculate n.
-2/13, 1
Let g(r) be the second derivative of r**6/150 + r**5/100 - r**4/10 - 2*r**3/15 + 4*r**2/5 + 20*r. Factor g(o).
(o - 2)*(o - 1)*(o + 2)**2/5
Suppose 5*i - 38 = 127. Factor -18*u + 12 - 6*u**3 - 16*u**2 + i*u - 5*u.
-2*(u - 1)*(u + 3)*(3*u + 2)
Suppose -17/9*j - 1/9*j**2 + 2 = 0. Calculate j.
-18, 1
Let x(l) be the first derivative of 2*l**3/3 - l**2 - 33. Suppose x(w) = 0. Calculate w.
0, 1
Let u = 32948 - 165644/5. Let s = -180 - u. Factor -2/5*d**4 - s*d + 0*d**2 + 4/5*d**3 + 2/5.
-2*(d - 1)**3*(d + 1)/5
Factor -15*h**3 - 8*h**3 + 156 - 6 + 0 - 10*h - 14*h**2 + 25*h**3.
2*(h - 5)**2*(h + 3)
Let d(i) be the first derivative of -i**5/12 - 5*i**4 - 120*i**3 + 37*i**2/2 + 18. Let k(j) be the second derivative of d(j). Factor k(s).
-5*(s + 12)**2
Let c(v) be the second derivative of v**4/48 - v**3/4 - 7*v**2/8 + 38*v. Factor c(o).
(o - 7)*(o + 1)/4
Let x(h) be the second derivative of 41*h**6/90 - 13*h**5/20 - h**4/18 - 2*h + 8. Factor x(d).
d**2*(d - 1)*(41*d + 2)/3
Factor -67 - 62*l + 123 - 4054*l**3 + 84 + 4056*l**3 - 8*l**2.
2*(l - 7)*(l - 2)*(l + 5)
Let q(f) be the second derivative of -f**8/60480 + f**7/2268 - 5*f**6/1296 + f**4/6 - 5*f. Let i(d) be the third derivative of q(d). Factor i(c).
-c*(c - 5)**2/9
Let j be (2/(-16))/(92/(-1472)). Solve 2/5 + 0*c - 2/5*c**j = 0.
-1, 1
Suppose 0*y - 1/6*y**4 - 29/3*y**3 + 0 - 841/6*y**2 = 0. Calculate y.
-29, 0
Let d be (-7)/(21/(-9)) - -2. Let w(q) be the third derivative of 0*q**3 + 1/102*q**4 - 1/170*q**5 - d*q**2 + 1/1020*q**6 + 0*q + 0. Let w(m) = 0. What is m?
0, 1, 2
Let y be 10/(500/105)*(-10)/(-16). Let s = y - 1/16. Let -1/2 - s*h + 1/4*h**4 - 3/4*h**2 + 1/4*h**3 = 0. What is h?
-1, 2
Let a(j) = 2*j - 13. Let x be a(6). Let h be ((-28)/4)/x + -4. Let d**5 - d**3 - 