= 0 for d.
-6, -1
Let q(b) be the second derivative of -b**7/14 + 3*b**6/10 - 3*b**5/10 + 2*b - 8. Find r such that q(r) = 0.
0, 1, 2
Let a be 32/12*(-1)/(-2). Factor -a - 289/3*l**2 + 68/3*l.
-(17*l - 2)**2/3
Suppose -104*k + 74*k = -180. Let s(g) be the first derivative of -3/10*g**5 + 0*g - 8 + 0*g**2 + 3/8*g**4 - 1/4*g**k + 1/2*g**3. Find o such that s(o) = 0.
-1, 0, 1
Let -33*g**3 - 5 + 9*g**5 - 27*g**2 - 7 - 7449*g + 7497*g + 15*g**4 = 0. What is g?
-2, 1/3, 1
Let d be (80/(-10))/(2/(-2) + -1). Solve 10*w**2 - 576*w**3 + w**5 - d*w + 570*w**3 + w**5 - 2*w**4 = 0.
-2, 0, 1
Let y(i) be the first derivative of 5*i**3/24 + 11*i**2/16 - 3*i/2 - 187. Factor y(k).
(k + 3)*(5*k - 4)/8
Let x(q) = -16*q**3 - 4*q**2 - 4*q + 4. Let y(u) = u**4 - u**2 - u + 1. Let s(f) = -x(f) + 4*y(f). Determine l, given that s(l) = 0.
-4, 0
Let t(f) be the first derivative of -f**7/126 + 15*f + 35. Let l(k) be the first derivative of t(k). Factor l(u).
-u**5/3
Let j(q) be the first derivative of q**3/6 - 3*q**2/4 - 27. Factor j(y).
y*(y - 3)/2
Suppose 4*d - 2 - 6 = 2*a, -2*a - 4*d + 16 = 0. Let g = -909 - -6375/7. Let 2/7*s**a + 18/7 - g*s = 0. What is s?
3
Find p, given that 97*p**2 + 28443 - 444*p + 516 + 3601 - 96*p**2 + 16724 = 0.
222
Let y(j) = j**2 - 7*j + 5. Let s be y(7). Suppose -10*p**2 - 6 + 6 + s + 5*p**4 = 0. Calculate p.
-1, 1
Let g(x) = 2*x**3 - 4*x**2 - 10*x - 8. Let k(z) = -z**2 - 1. Let l(r) = -g(r) + 2*k(r). Factor l(j).
-2*(j - 3)*(j + 1)**2
Let g be 12/16*(-588)/(-18). Let s = g + -22. Suppose -15/2*f**2 + s*f**4 + 0*f**3 + 0 + 5*f = 0. Calculate f.
-2, 0, 1
Let o be (-16)/72 + 178/(-9). Let n = -18 - o. Let -2*t**2 - 7*t**3 + 16*t + 1 - n*t**3 + 3*t**3 - 9 = 0. What is t?
-2, 2/3, 1
Let r(w) be the third derivative of -w**7/735 + 17*w**6/210 + 12*w**5/35 + 12*w**2 + 8*w. Find s such that r(s) = 0.
-2, 0, 36
Let x(k) be the first derivative of 5 + 8/15*k**3 + 8/5*k**2 + k + 1/15*k**4. Let c(m) be the first derivative of x(m). Factor c(d).
4*(d + 2)**2/5
Let c(y) = -4*y**3 + 162*y**2 - 4374*y + 39366. Let a(j) = -j**3. Let r(q) = -4*a(q) + 2*c(q). Factor r(p).
-4*(p - 27)**3
Let b(k) be the second derivative of 5*k**7/42 + k**6/2 - 15*k**5/4 + 85*k**4/12 - 5*k**3 + 11*k + 12. Factor b(d).
5*d*(d - 1)**3*(d + 6)
Let k(r) be the second derivative of 1/60*r**6 + 1/8*r**4 + 13*r + 3/2*r**3 - 3/40*r**5 + 0*r**2 + 0. Let s(p) be the second derivative of k(p). Factor s(m).
3*(m - 1)*(2*m - 1)
Suppose -94*f = -89*f - 770. Let m = f - 151. Factor 2/7*b**m - 2/7*b**5 + 0 + 0*b**4 + 0*b**2 + 0*b.
-2*b**3*(b - 1)*(b + 1)/7
Determine h so that -76/9*h**2 - 2/9*h**4 - 14/3*h**3 + 0*h + 0 = 0.
-19, -2, 0
Let f(m) be the second derivative of 2*m**6/105 - 12*m**5/35 + 15*m**4/7 - 100*m**3/21 + 2*m - 3. Factor f(s).
4*s*(s - 5)**2*(s - 2)/7
Let y(w) be the third derivative of 1/10*w**4 + 2/5*w**3 + 0 + 0*w - 2*w**2 + 1/100*w**5. Let y(g) = 0. What is g?
-2
Let w be (3 - (-26)/(-22)) + 2/11. Factor -3*s**3 + w*s**3 + s - 2*s**2 - 2*s.
-s*(s + 1)**2
Let -36/5*u**4 + 128/5*u**3 + 192/5*u - 224/5*u**2 + 4/5*u**5 - 64/5 = 0. Calculate u.
1, 2
Let i(u) be the first derivative of u**3/3 - 13*u**2/2 - 14*u + 643. Factor i(r).
(r - 14)*(r + 1)
Let s(w) be the third derivative of w**6/40 + 12*w**5 + 2400*w**4 + 256000*w**3 - 17*w**2 + 8*w. Find j such that s(j) = 0.
-80
Let v(u) be the second derivative of -8/9*u**2 - 143/9*u**4 - 646/45*u**5 + 0 - 152/27*u**3 + 10*u - 578/135*u**6. Factor v(d).
-4*(d + 1)**2*(17*d + 2)**2/9
Let r(x) = -x + 10. Let y be r(8). Suppose -n + 7 = 3*d, -2*n = -y*d - d + 4. Factor -6*f**2 - 20*f**3 - 6*f**5 - 5*f**d + 3*f**2 + 2*f**5 - 16*f**4.
-4*f**2*(f + 1)**2*(f + 2)
Let g(i) be the second derivative of 7/6*i**3 - 1/12*i**4 + 0 + 10*i - 5*i**2. What is r in g(r) = 0?
2, 5
Let g be (-152)/28 + (-18)/(-3). Find v, given that g*v + 0 + 2/7*v**2 = 0.
-2, 0
Factor 1/3*k**2 + 10/3 - 11/3*k.
(k - 10)*(k - 1)/3
Let b(h) be the second derivative of -1/20*h**5 - 2*h**2 + 1/4*h**4 + 0 + 0*h**3 + 3*h. Factor b(a).
-(a - 2)**2*(a + 1)
Let j(g) be the third derivative of -g**10/10080 - g**9/2520 + g**7/420 + g**6/240 + 3*g**4/8 - 4*g**2. Let l(m) be the second derivative of j(m). Factor l(s).
-3*s*(s - 1)*(s + 1)**3
Solve -6/7*q - 2/7 - 4/7*q**2 + 4/7*q**3 + 6/7*q**4 + 2/7*q**5 = 0.
-1, 1
Let z = 10863 - 10860. Factor -h**2 - 9/4 - 1/8*h**z - 21/8*h.
-(h + 2)*(h + 3)**2/8
Let m(l) be the third derivative of 2*l**7/735 - l**6/105 - 16*l**5/105 + 16*l**4/21 + 122*l**2. Factor m(t).
4*t*(t - 4)*(t - 2)*(t + 4)/7
Let d(n) = -2*n**3 - 36*n**2 + 30*n - 147. Let o be d(-19). Let 4/9 - 14/9*h + 16/9*h**2 + 2/9*h**o - 4/9*h**3 - 4/9*h**4 = 0. Calculate h.
-2, 1
Let c(s) be the first derivative of 1/3*s**3 + 5/6*s**5 + 0*s - 3 - 5/6*s**4 + 5/2*s**2. Let v(t) be the second derivative of c(t). Solve v(p) = 0.
1/5
Let f(m) be the first derivative of 0*m - 15/2*m**6 - 25/4*m**4 + 0*m**2 - 10/3*m**3 - 13 + 16*m**5. Solve f(l) = 0 for l.
-2/9, 0, 1
Let a(y) be the first derivative of -3 + 8/3*y**2 + 32/9*y**3 + 5/9*y**4 - 7/15*y**5 - 2*y. Let j(o) be the first derivative of a(o). Let j(w) = 0. Calculate w.
-1, -2/7, 2
Suppose 7 - 23 = 2*d. Let g be (-637)/(-117) + d/18. Let 0*r**3 - 1/4*r + 1/4*r**g + 1/2*r**4 - 1/2*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Let l(h) = 32*h**3 + 143*h**2 - 291*h - 120. Let o(c) = 22*c**3 + 95*c**2 - 193*c - 80. Let d(i) = 5*l(i) - 7*o(i). Suppose d(j) = 0. What is j?
-10, -1/3, 2
Suppose -2 - 8 = 5*u + 5*x, -2*u - 16 = 5*x. Let g(d) be the first derivative of 2 + 2*d + 1/6*d**3 - d**u. Factor g(o).
(o - 2)**2/2
Let u be -1 + 4 - 1 - -4. Suppose -u*a = -3*a - 9. Factor 0 - 2 - 3*g**4 - 4 + 21*g + 15*g**a - 27*g**2.
-3*(g - 2)*(g - 1)**3
Let -8*c**4 - 12*c - 104/3*c**2 + 4/3*c**5 + 0 - 32*c**3 = 0. Calculate c.
-1, 0, 9
Let w(u) be the second derivative of 5/42*u**7 - 5/3*u**3 + 0 + 1/6*u**6 + 0*u**2 + 7*u - 3/4*u**5 - 25/12*u**4. Let w(y) = 0. Calculate y.
-1, 0, 2
Suppose 4/7*x**2 + 2/7*x**5 - 4/7*x**4 - 2/7*x**3 + 0*x + 0 = 0. What is x?
-1, 0, 1, 2
Let i = -105 + 109. Let g be (i + (-6)/1)*6/(-4). Factor 0 - 3/2*k**2 + 0*k - 3/2*k**5 + 3/2*k**4 + 3/2*k**g.
-3*k**2*(k - 1)**2*(k + 1)/2
Let r(l) = -l**3 - 5*l**2 + 5*l - 3. Let g be r(-6). Let m be (-9)/(-24) + -1*42/112. Factor -1/2*k**4 + 2*k**g + m + k - 5/2*k**2.
-k*(k - 2)*(k - 1)**2/2
Let b(h) be the third derivative of -38*h**5/195 - 77*h**4/156 - h**3/39 - 47*h**2 - 3. Find y, given that b(y) = 0.
-1, -1/76
Let g = 26672 - 133354/5. Factor 1/5 + 6/5*z**3 - g*z - 1/5*z**2.
(z - 1)*(z + 1)*(6*z - 1)/5
Let h(m) be the third derivative of m**7/490 + m**6/280 - 3*m**5/140 - m**4/56 + m**3/7 - 5*m**2 - 13*m. Solve h(c) = 0 for c.
-2, -1, 1
Let v be (204/45 - 3)*1. Let o = 4/5 + v. Factor 4/3*n**3 - o*n**2 + 1/3 + 2/3*n.
(n - 1)**2*(4*n + 1)/3
Let q(u) = 0*u + 3*u + u**2 + 2 + 0. Let g(k) = k**2 + k + 1. Let p(h) = 3*h**3 + 20*h**2 + 8*h - 25. Let j be p(-6). Let t(o) = j*q(o) + 2*g(o). Factor t(r).
r*(r - 1)
Suppose -2*w + 2*m = 0, 4*m + 2 = -4*w + 18. Factor -8*i**2 + 0*i**w - 3 - i**3 - 2*i**2 + 5*i**2 - 7*i.
-(i + 1)**2*(i + 3)
Factor 17/2*h**3 + 93/2*h**2 + 175/2*h + 1/2*h**4 + 49.
(h + 1)*(h + 2)*(h + 7)**2/2
Let c be -7*2 - 8062/(-556). Let r be (3 + -4)*2/(-4). Determine d, given that 3/4*d - c*d**3 + 3/4*d**4 - r*d**2 - 1/4*d**5 - 1/4 = 0.
-1, 1
Let l be -1*(248/(-14) + 13). Factor -40/7*h - 16/7 - 10/7*h**3 - l*h**2 - 1/7*h**4.
-(h + 1)**2*(h + 4)**2/7
Factor 32*y**3 - 27*y - 7*y + 28*y + 30*y + 4*y**4 + 88*y**2 + 36 + 72*y.
4*(y + 1)**2*(y + 3)**2
Let s(x) be the first derivative of -24*x - 50 + 4*x**2 - 2/9*x**3. Determine u so that s(u) = 0.
6
Solve -3/7*w**2 + 0 - 9/7*w = 0 for w.
-3, 0
Let p(j) be the first derivative of -10/3*j**3 + 1/12*j**5 + 0*j**4 - 11 + j**2 + 0*j. Let k(a) be the second derivative of p(a). Factor k(v).
5*(v - 2)*(v + 2)
Let u = -43 + 47. Factor -24*l**2 - u + 10*l**3 - 9*l**3 - 11*l**3 - 18*l.
-2*(l + 1)**2*(5*l + 2)
Factor -91 + 2*y**2 + 27392 + 7021 - 524*y.
2*(y - 131)**2
Let a(b) = b**3 - 19*b**2 - 31*b + 222. Let z be a(20). Let g(r) be the second derivative of 8*r + 1/6*r**4 - 2/3*r**3 + 0*r**z + 0. Factor g(c).
2*c*(c - 2)
Let q(y) be the first derivative of -y**3 + 39*y**2/2 - 66*y + 96. Let q(f) = 0. Calculate f.
2, 11
Let o(j) be the third d