5*d**3 + a*d**2.
3*d**2*(d - 1)**2*(d + 1)
Let j be ((-28)/(-49))/(246/287). Factor -g + 17/9*g**2 - j*g**3 - 2/9.
-(g - 2)*(g - 1)*(6*g + 1)/9
Factor 6/11*j**2 + 1350/11 + 180/11*j.
6*(j + 15)**2/11
Suppose 0 = 4*o + 1757 - 5765. Find j, given that -5*j + 5*j**3 - 1002*j**2 + o*j**2 = 0.
-1, 0, 1
Let o = 2/131 - -127/262. Suppose o*t - 1/2*t**3 + 1/2*t**4 - 1/2*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Let n(m) be the second derivative of 14*m + 1/21*m**4 + 0 + 4/21*m**3 + 8/21*m**2 + 1/210*m**5. Factor n(w).
2*(w + 2)**3/21
Let n(y) = -5*y**3 - 7*y**2 - 2*y - 4. Let i(u) be the first derivative of -u + 10. Let l(p) = -4*i(p) + n(p). Factor l(s).
-s*(s + 1)*(5*s + 2)
Let h(z) be the first derivative of -1/4*z**2 + 9/16*z**4 + 5/24*z**6 - 14 - 1/12*z**3 + 13/20*z**5 + 0*z. Factor h(r).
r*(r + 1)**3*(5*r - 2)/4
Let y(p) be the third derivative of p**8/1344 - p**7/280 - p**6/480 + 7*p**5/240 - p**3/6 + 3*p**2 + 1. Find i such that y(i) = 0.
-1, 1, 2
Let o be 8 + 3*56/(-21). Let t(u) be the third derivative of o*u**4 + 0*u + 1/70*u**5 + 0 - u**2 + 0*u**3 + 1/420*u**6. Factor t(l).
2*l**2*(l + 3)/7
Let t(b) = -b**2. Let d(x) = 4*x**2 + 8*x - 7. Let o(q) = q**3 + 4*q**2 + 5*q + 4. Let y be o(-2). Let p(l) = y*d(l) + 10*t(l). Suppose p(s) = 0. What is s?
1, 7
Let b(u) be the first derivative of u**6/4 - 3*u**4/8 + 76. Let b(n) = 0. What is n?
-1, 0, 1
Let a be (-90)/72*1*-4. Let p be a - 1 - (2 + (-12)/(-10)). Factor 0*s - p*s**2 - 18/5*s**3 + 0 - 24/5*s**4 - 2*s**5.
-2*s**2*(s + 1)**2*(5*s + 2)/5
Let l(q) = q**3 + 7*q**2 + 4*q - 1. Let h be l(-6). Let b = h + -8. Find n, given that n**2 - 5*n**3 + 7*n**b - n**3 = 0.
-1, 0
Factor 102*r - 74 - 41 + 46 + 3*r**2 + 168.
3*(r + 1)*(r + 33)
Let a(c) be the third derivative of 1/360*c**6 + 1/6*c**3 - 9*c**2 - 5/72*c**4 + 1/180*c**5 + 0*c + 0. Factor a(q).
(q - 1)**2*(q + 3)/3
Let g(y) be the second derivative of -y**5/80 + y**4/48 + 5*y**3/12 + y**2 - 324*y + 2. Determine l so that g(l) = 0.
-2, -1, 4
Let m(r) be the first derivative of -2*r**3/15 + 86*r**2/5 - 3698*r/5 + 38. Factor m(q).
-2*(q - 43)**2/5
Factor -33*p**2 - 12*p**2 - 34*p**2 - 3*p + 76*p**2 + 6*p.
-3*p*(p - 1)
Let k(f) be the second derivative of -f**7/7560 - f**6/540 - f**5/120 - f**4/54 + 2*f**3 + 20*f. Let t(s) be the second derivative of k(s). Factor t(y).
-(y + 1)**2*(y + 4)/9
Let r(p) be the first derivative of 14*p**6/3 + 36*p**5/5 - 5*p**4 - 12*p**3 - 4*p**2 + 178. Solve r(o) = 0 for o.
-1, -2/7, 0, 1
Let d be -1 + (3 - (2 - 3)). Suppose k - d*j = -0*k - 7, 5*k = 2*j + 4. Factor -2*n**2 - 5*n + 0*n**k + n - 2*n**2 - n**3.
-n*(n + 2)**2
Let j(v) = v**3 - v. Let k be j(2). Suppose -k = -2*c + c - 2*t, 0 = -2*c + 3*t - 9. Factor 0 + 4/3*q**4 + c*q + 0*q**3 - 4/3*q**2.
4*q**2*(q - 1)*(q + 1)/3
Let b(n) = n**4 + 3*n**3 + 2. Suppose 17 = 6*s - 1. Suppose -2*k + 5 = -s. Let v(p) = p**4 + 4*p**3 + 3. Let y(w) = k*v(w) - 6*b(w). Let y(m) = 0. What is m?
-1, 0
Suppose 0 - 2/7*p**3 - 16/7*p - 18/7*p**2 = 0. Calculate p.
-8, -1, 0
Let g(z) be the first derivative of -7*z**5/15 - 5*z**4/12 + 16*z**3/9 - 2*z**2/3 - 83. Suppose g(c) = 0. What is c?
-2, 0, 2/7, 1
Let w(n) = 12*n**4 - 4*n**3 - 8*n**2 + 4*n - 4. Let k(g) = -13*g**4 + 4*g**3 + 8*g**2 - 4*g + 5. Let r = -38 + 42. Let y(l) = r*k(l) + 5*w(l). Factor y(m).
4*m*(m - 1)*(m + 1)*(2*m - 1)
Suppose -106 = -3*h - 5*y, 0 = 5*y - 21 - 4. Let w = h + -23. Solve 3*o**w + 3 - 17*o + 17*o - 6*o**2 = 0.
-1, 1
Let u(h) be the third derivative of 3*h**7/70 + 17*h**6/40 + 31*h**5/20 + 23*h**4/8 + 3*h**3 - 515*h**2. Factor u(x).
3*(x + 1)**2*(x + 3)*(3*x + 2)
Let j be 0/(9 - 121/11). Let d(r) be the second derivative of -1/126*r**7 - 1/18*r**3 + 0*r**2 + 0*r**4 + 1/30*r**5 + r + j + 0*r**6. Factor d(o).
-o*(o - 1)**2*(o + 1)**2/3
Let u = 3836 - 26848/7. Factor -4/7*s + u*s**3 - 8/7*s**2 + 8/7.
4*(s - 2)*(s - 1)*(s + 1)/7
Let w = 12614 + -88290/7. Determine l so that w*l**3 - 12/7*l**4 - 4/7 - 8/7*l + 16/7*l**2 = 0.
-1, -1/3, 1
Suppose 19*g - 9*g - 10 = 0. Let q be (((-36)/(-15))/(-2))/(g/(-2)). Factor -q*s + 2*s**2 + 2/5.
2*(s - 1)*(5*s - 1)/5
Let u(z) be the third derivative of z**10/211680 - z**8/15680 - z**7/8820 - z**4 - 19*z**2. Let j(x) be the second derivative of u(x). Factor j(v).
v**2*(v - 2)*(v + 1)**2/7
Let g = 12969/8 - 1621. Let f(c) be the third derivative of 0 + 1/40*c**6 - g*c**4 + 1/10*c**5 - c**3 + 6*c**2 + 0*c. Factor f(t).
3*(t - 1)*(t + 1)*(t + 2)
Let u be 6/(-21) - 24/(-84). Let d(y) be the third derivative of -1/105*y**7 + 0*y**3 + 0*y**4 - 1/60*y**6 + u*y**5 + 0 + 3*y**2 + 0*y. Factor d(j).
-2*j**3*(j + 1)
Let y(g) be the first derivative of g**3/2 - 9*g**2 - 418. Determine q so that y(q) = 0.
0, 12
Let y be (2 - 2) + (-16104)/(-10). Let i = -1605 + y. Factor -3*w**3 - i*w**2 + 3/5 - 9/5*w.
-3*(w + 1)**2*(5*w - 1)/5
Factor -78/5 - 4*p + 2/5*p**2.
2*(p - 13)*(p + 3)/5
Let f(w) be the first derivative of w**3 + 132*w**2 + 5808*w - 6. Solve f(p) = 0 for p.
-44
Suppose -u - 1 = -2*y, 182*y - 187*y - 2*u + 25 = 0. Factor -2/11*n**4 + 0*n - 2/11*n**y + 2/11*n**2 + 0 + 2/11*n**5.
2*n**2*(n - 1)**2*(n + 1)/11
Suppose 0 = -4*g - 5*x - 17, 4*g = 9*x - 5*x + 28. Suppose -11 = 3*y + 4*m + 9, -20 = g*y + 4*m. Suppose y - 2/9*k + 2/9*k**2 = 0. What is k?
0, 1
Let a be 2/9*((28 - -289) + -23). Factor a + 4/3*n**2 + 56/3*n.
4*(n + 7)**2/3
Let f(p) be the second derivative of p**6/70 - 9*p**5/140 + p**4/28 + 3*p**3/14 - 3*p**2/7 - 3*p - 10. Suppose f(r) = 0. Calculate r.
-1, 1, 2
Let a be (-3)/15 + (-166)/480. Let v = -7/48 - a. Factor 0 - v*z - 2/5*z**2.
-2*z*(z + 1)/5
Let x(f) be the first derivative of -f**5/60 + f**4/8 - 19*f**2/2 + 2. Let j(z) be the second derivative of x(z). Factor j(q).
-q*(q - 3)
Let a be (-1)/18 - (-175)/450. Find z, given that -16/3*z - a*z**5 - 8*z**3 + 0 - 8/3*z**4 - 32/3*z**2 = 0.
-2, 0
Let d(m) = -11*m - 5*m + 0*m + 51 + 2*m + m**2. Let r be d(7). Determine z, given that -2/9*z**3 - 2/9*z**r + 2/9 + 2/9*z = 0.
-1, 1
Let w = 891/4 + -885/4. Factor 1/2*g**3 - w*g + g**2 + 0.
g*(g - 1)*(g + 3)/2
Let 100*m**4 + 2095*m**3 - 455*m**3 + 6200*m**2 + 5*m**5 - 10000 + 55*m**4 + 2000*m = 0. What is m?
-10, -2, 1
Let k(q) be the second derivative of -1/70*q**5 - 4*q - 1/6*q**4 + 0 + 1/35*q**6 + 1/147*q**7 + 4/7*q**2 + 0*q**3. Suppose k(l) = 0. What is l?
-2, -1, 1
Determine o so that o**3 + 2*o**4 + 126*o**2 + 159*o - 27*o**3 - 6*o**3 - 128 + 182*o - 309*o = 0.
-1, 1, 8
Factor 67/8*i + 11/4 + 1/4*i**3 + 47/8*i**2.
(i + 1)*(i + 22)*(2*i + 1)/8
Let 20*z**2 + 23*z**3 - 5*z**4 - 8*z**3 - 5*z**5 + 7*z**3 - 2*z**3 = 0. What is z?
-2, -1, 0, 2
Solve 9/2*f - 3/4*f**5 + 0 - 21/4*f**2 + 21/4*f**4 - 15/4*f**3 = 0 for f.
-1, 0, 1, 6
Let f(l) = l**4 + l**3 - l**2 + l - 1. Let r(w) = 20*w**3 - 26 + 20*w**2 - 22*w**4 - 64*w + w**3 + 18 + 9*w**3. Let x(y) = -8*f(y) - r(y). Factor x(t).
2*(t - 2)**2*(t + 1)*(7*t + 2)
Let n(o) = -1. Let w(l) = l**2 - 1 + 0 - 15*l + 17*l + 6. Let d(c) = 4*n(c) + w(c). Factor d(s).
(s + 1)**2
Suppose v - 71 + 66 = 0. Let c be 184/(-24) + 8 - (-2 + -1). Find d, given that c*d**4 + 14/3*d**2 + 0 - 2/3*d**v - 4/3*d - 6*d**3 = 0.
0, 1, 2
Let y(b) be the second derivative of -2*b**6/105 - 3*b**5/35 - b**4/21 - 11*b**2 - 14*b. Let m(o) be the first derivative of y(o). Let m(u) = 0. Calculate u.
-2, -1/4, 0
Suppose -k + 1350 = 1350. Let r(b) be the second derivative of -4/3*b**3 + 7/24*b**4 + b**2 + 4*b + k. What is h in r(h) = 0?
2/7, 2
Let f = 12346/46185 + -2/3079. Let p(y) be the first derivative of 0*y + 4/9*y**3 + 9 - f*y**5 + 1/3*y**2 + 0*y**4 - 1/9*y**6. Factor p(g).
-2*g*(g - 1)*(g + 1)**3/3
Let t(z) be the second derivative of z**7/630 - z**6/120 + 3*z**5/160 - 4*z**4/3 - 43*z. Let b(u) be the third derivative of t(u). Factor b(y).
(4*y - 3)**2/4
Let n(s) = -3*s + 2. Let q(b) = 4*b - 1. Let z(j) = 5*n(j) + 4*q(j). Let g be z(-2). What is f in -7*f**3 + 3*f**g + 5*f**3 - 5*f**4 = 0?
-1, 0
Let i(p) = -2*p**2 - 4*p + 1. Let s = 786 + -335. Let h be s/(-88) - (-2)/16. Let k(w) = w**2 + 2*w. Let m(f) = h*k(f) - 3*i(f). Determine b so that m(b) = 0.
-3, 1
Let p(t) be the first derivative of -2*t**6/3 - 656*t**5/5 - 7201*t**4 - 157400*t**3/3 - 152312*t**2 - 199712*t + 567. Factor p(n).
-4*(n + 2)**3*(n + 79)**2
Suppose 5*j + 1 = 2*q, 2*j = 5*q + 7 - 20. Determine m so t