 2)*(m - 1)*(m + 1)**2
Suppose -3*d = -4*b + 36, b + 5*d + 516 - 479 = 0. Factor 114/5*i + b*i**2 - 48/5.
3*(i + 8)*(5*i - 2)/5
Solve 0 + 0*t**2 - 4/3*t**4 + 0*t - 76*t**3 = 0.
-57, 0
Let u(g) be the second derivative of 0 - 1/357*g**7 + 0*g**2 - 2/85*g**6 - 52*g - 4/85*g**5 + 3/17*g**3 + 1/17*g**4. Let u(a) = 0. What is a?
-3, -1, 0, 1
Let g(o) be the first derivative of o**6/2 - 18*o**5/5 + 3*o**4 + 6*o**3 - 15*o**2/2 + 123. Factor g(f).
3*f*(f - 5)*(f - 1)**2*(f + 1)
Let v(p) = 6*p**4 - 9*p**3 + 3*p**2 + 3. Let b(k) = k**4 - k**3 + k**2 + 1. Let q(d) = -3*b(d) + v(d). Let q(r) = 0. Calculate r.
0, 2
Let h = -2601 + 2601. Solve 3/4*j**2 - 3/4*j**3 + h*j + 0 = 0 for j.
0, 1
Let f(q) = 44*q. Let d be f(0). Let l(u) be the third derivative of -1/120*u**5 + d*u**3 + 0*u + 0 - 6*u**2 - 1/48*u**4. Factor l(g).
-g*(g + 1)/2
Let p(i) be the second derivative of -i**7/3360 - i**6/240 - i**4/12 - 3*i**2 + i - 15. Let j(k) be the third derivative of p(k). Find b such that j(b) = 0.
-4, 0
Let o be (-49)/((-15435)/42) + (-4)/(-6). Factor o*q**2 - 64/5*q + 256/5.
4*(q - 8)**2/5
Let a(v) be the first derivative of 0*v**2 + 4/25*v**5 - 1/5*v**4 + 3 + 0*v - 8/15*v**3. Factor a(m).
4*m**2*(m - 2)*(m + 1)/5
Let n = 14841/8 - 1855. Factor 1/4 + n*k**2 + 3/8*k.
(k + 1)*(k + 2)/8
Let j be (3 - 48/10)*(-234)/78. Let 27/5*s**4 + 6/5*s**2 + 0*s + j*s**3 + 0 = 0. Calculate s.
-2/3, -1/3, 0
Let r(q) be the first derivative of q**4/16 - 5*q**3/12 - q**2/8 + 5*q/4 + 99. Factor r(i).
(i - 5)*(i - 1)*(i + 1)/4
Solve 11/4*k + 1/2 + 9/4*k**2 = 0 for k.
-1, -2/9
Let y(j) be the first derivative of -j**3/3 + 119*j**2/2 + 428. Determine g, given that y(g) = 0.
0, 119
Let d = -8/1297 + 228312/6485. Factor -672/5*w**2 + d*w - 16/5 + 196*w**3 - 343/5*w**4.
-(w - 2)*(7*w - 2)**3/5
Let q(v) be the second derivative of v**4/9 + 2*v**3 + 40*v**2/3 + 19*v + 2. Factor q(j).
4*(j + 4)*(j + 5)/3
Let j be ((-10)/8)/(13 + (-15 - -1)). Let y(m) be the first derivative of -2*m + 6 + j*m**4 + 7/2*m**2 - 1/5*m**5 - 3*m**3. Suppose y(q) = 0. What is q?
1, 2
Let k = 756 - 746. Let i(y) be the second derivative of 1/24*y**4 - 1/2*y**3 + 0 + 1/20*y**5 - 9/8*y**2 - 1/120*y**6 - k*y. Solve i(p) = 0 for p.
-1, 3
Let r(i) be the third derivative of -i**6/40 + i**5/5 + i**4/2 - 8*i**3 + 199*i**2. Find l such that r(l) = 0.
-2, 2, 4
Let t(g) be the first derivative of -g**5/15 + g**4/4 + 2*g**3/9 - 2*g**2 + 8*g/3 + 321. Factor t(f).
-(f - 2)**2*(f - 1)*(f + 2)/3
Let s(c) be the second derivative of -2*c**2 + 0*c**3 + 1/12*c**4 + 0 + 11*c. Suppose s(n) = 0. What is n?
-2, 2
Let f(l) = l**2 + 45*l - 1384. Let y be f(-66). Determine k, given that 4/3 - 2/3*k**y - 2/3*k = 0.
-2, 1
Factor -350*z**3 + 3*z**2 - 349*z**3 - 348*z**3 + 1046*z**3.
-z**2*(z - 3)
Let b(t) = 8*t**3 - 276*t**2 + 1488*t - 2500. Let j(m) = -3*m**3 + 110*m**2 - 595*m + 1000. Let x(s) = -5*b(s) - 12*j(s). Factor x(y).
-4*(y - 5)**3
Let z = -974 - -974. Solve 7/5*y**4 + z + 2/5*y**2 - 9/5*y**3 + 0*y = 0 for y.
0, 2/7, 1
Let t = 21698 + -21696. Factor 5/4*o**t + 80 + 20*o.
5*(o + 8)**2/4
Factor 0 + 4/3*m + 2/3*m**2 - 2/3*m**3.
-2*m*(m - 2)*(m + 1)/3
Let n = 1077 + -558. Factor -2*u + 503 - 4*u**2 - n - 18*u.
-4*(u + 1)*(u + 4)
Let u(f) be the second derivative of -3*f**5/20 - 3*f**4/2 - 14*f. Let u(h) = 0. What is h?
-6, 0
Let a(d) be the second derivative of 0*d**3 - 1/195*d**6 - 33*d + 0*d**2 + 3/130*d**5 - 1/39*d**4 + 0. Factor a(y).
-2*y**2*(y - 2)*(y - 1)/13
Let w(s) be the second derivative of s**6/30 + 17*s**5/20 - 19*s**4/4 + 59*s**3/6 - 10*s**2 - 288*s. Determine q so that w(q) = 0.
-20, 1
Let b(i) be the second derivative of -8*i**7/21 - 2*i**6 - 9*i**5/5 - 25*i. Factor b(j).
-4*j**3*(j + 3)*(4*j + 3)
Let v(d) = -d**3 - d**2 - d - 1. Let b be v(-1). Let g = 3 - b. Factor -5*f**g - 3*f - 2*f**3 + 13*f**3 - 3*f**5.
-3*f*(f - 1)**2*(f + 1)**2
Let r(h) = -15*h**4 - 42*h**3 - 21*h**2 + 60*h + 6. Let q(m) = 17*m**4 + 43*m**3 + 20*m**2 - 59*m - 7. Let d(g) = 6*q(g) + 7*r(g). Find a, given that d(a) = 0.
-11, -2, 0, 1
Solve 0 - 9/2*j - 3/2*j**2 + 9/2*j**3 + 3/2*j**4 = 0.
-3, -1, 0, 1
Let m(z) = -z**2 - 154*z - 7225. Let d(f) = 4*f. Let w(n) = 4*d(n) - m(n). Factor w(c).
(c + 85)**2
Let t(c) be the second derivative of -1/80*c**5 + 0*c**2 + 0*c**3 + 1/16*c**4 - 11*c + 0. Determine i so that t(i) = 0.
0, 3
Let b = 16 + -14. Suppose -a + 7 = i, -4*a + b*i + 25 = 5*i. Factor -5*u**4 + 2*u**a + 5*u**3 - 2*u**3.
-3*u**3*(u - 1)
Let u(c) be the second derivative of -5/4*c**4 + 3/40*c**5 + 1/5*c**6 - c**3 + 0 + 6*c**2 + 1/28*c**7 + 8*c. Factor u(w).
3*(w - 1)**2*(w + 2)**3/2
Let d(m) = m**2 + 13*m - 7. Let j(v) = -5*v + 11. Let y be j(5). Let x be d(y). Factor -x*s**3 + 2*s**2 + 3*s**3 + 0*s**2 + 2*s**3.
-2*s**2*(s - 1)
Let y be 4/18 - (-1)/9. Suppose 0 = -44*o + 37*o + 14. Find v, given that 0*v + y - 1/3*v**o = 0.
-1, 1
Let o(w) = -90*w - 1526. Let g be o(-17). Factor -4/3*k**g - 4/3*k**3 + 0*k**2 + 0*k + 0.
-4*k**3*(k + 1)/3
Suppose 7*l - 5*l = 24. Find d such that 0*d + 5*d + 4 + 3*d - l*d + d**2 = 0.
2
Let d = -1175/14 - -591/7. Let u(o) be the first derivative of -o**4 - o**3 + d*o**2 + 2 + 0*o. Factor u(w).
-w*(w + 1)*(4*w - 1)
Let l = -8 - -15. Suppose 3 = -u + l. Solve 2/5*n - 6/5*n**2 + 0 + 6/5*n**3 - 2/5*n**u = 0.
0, 1
Let f be (-74 - 4/(-2))*-1. Factor 72*a**2 + a - a**3 - f*a**2.
-a*(a - 1)*(a + 1)
Let o(w) be the second derivative of -w**9/45360 + w**8/6720 + w**4/3 - w**3/3 - 7*w. Let c(p) be the third derivative of o(p). Find j, given that c(j) = 0.
0, 3
Suppose 0 = -3*t - i - 35, -3*i = 2*t - 4*i + 20. Let k = t - -14. Factor 0*r**4 - 2*r**3 - r**4 - 6*r**2 - 1 + k*r - 7*r - 2*r**3.
-(r + 1)**4
Let f(t) be the third derivative of -8*t**5/45 + 10*t**4/3 - 25*t**3 - t**2 - 4. Find a such that f(a) = 0.
15/4
Let z(g) be the third derivative of 2 + 1/84*g**6 + 0*g**7 + 5/56*g**4 - 1/2352*g**8 - 2/21*g**3 + 0*g - 1/21*g**5 - 25*g**2. Factor z(j).
-(j - 1)**4*(j + 4)/7
Factor 14*j + 18537 + 4*j**2 + 18*j - 18489.
4*(j + 2)*(j + 6)
Suppose -b - 14*b + 45 = 0. Let p(s) be the first derivative of -3 - 2/3*s**b + 0*s - s**2. Factor p(i).
-2*i*(i + 1)
Let g(i) be the second derivative of -i**6/60 - 6*i**5/5 - 47*i**4/24 - 169*i. Factor g(p).
-p**2*(p + 1)*(p + 47)/2
Let o be 14835/1075 + (-13)/1. Let 0*x**4 + 4/5*x**5 - o*x**3 + 0*x**2 + 0*x + 0 = 0. What is x?
-1, 0, 1
Let q(g) = -131*g + 20. Let k be q(-5). Factor k - 53*a - 2*a - 35*a + 3*a**2.
3*(a - 15)**2
Solve -3*f**2 - 10 - 4*f - 11*f + 2 - 11 + 1 = 0 for f.
-3, -2
Let y(p) be the third derivative of -11*p**8/672 + p**7/21 + p**6/16 - p**5/6 - p**4/12 + 265*p**2. Solve y(b) = 0 for b.
-1, -2/11, 0, 1, 2
Let u(o) be the first derivative of -o**7/1890 + o**5/540 - 15*o**2/2 - 6. Let n(y) be the second derivative of u(y). Find b such that n(b) = 0.
-1, 0, 1
Suppose 0*y - y + 2 = 0. Suppose 5*h + y*h = 14. Solve 0 - 2/5*w**3 - 2/5*w + 4/5*w**h = 0 for w.
0, 1
Let w(z) be the third derivative of z**8/448 - 3*z**7/280 + z**6/160 + 3*z**5/80 - z**4/16 - 10*z**2 + 10*z. Let w(r) = 0. What is r?
-1, 0, 1, 2
Let k = 61 + -61. Let v(i) be the first derivative of k*i**3 + 1/12*i**4 + 0*i - 1/18*i**6 - 5 + 0*i**5 + 0*i**2. Let v(j) = 0. What is j?
-1, 0, 1
Let x = 56 - 63. Let a be 1 - (x/5 - -2). Factor -1/5*k**4 + 1/5 + a*k**3 - 2/5*k + 0*k**2.
-(k - 1)**3*(k + 1)/5
Let g(x) = -3*x**2 - 45*x + 36. Let f(v) = 3*v**2 + 44*v - 37. Let k(y) = 6*f(y) + 5*g(y). Factor k(o).
3*(o - 1)*(o + 14)
Let i(u) = -u**2 - 9*u + 24. Let h be i(-11). Determine b so that -5*b**h + 722 - 722 + 5*b**5 + 5*b**4 - 5*b**3 = 0.
-1, 0, 1
Suppose -30 = -3*a - 36. Let c be (-5 - 58/(-32))*a. Factor -3/2 - c*y**2 - 15/8*y**3 - 6*y.
-3*(y + 1)*(y + 2)*(5*y + 2)/8
Factor 92 - 59 + 54*z + 15*z**2 - 71 + 3*z**2 + 54*z.
2*(3*z - 1)*(3*z + 19)
Let d(p) be the first derivative of p**6/180 - p**5/5 + 3*p**4 - 16*p**3/3 + 14. Let a(o) be the third derivative of d(o). Let a(u) = 0. Calculate u.
6
Let w(z) be the third derivative of -z**7/2310 + z**6/1320 + z**5/660 - z**4/264 - 3*z**2 + 16*z. Factor w(t).
-t*(t - 1)**2*(t + 1)/11
Let i(u) be the first derivative of u**3/12 + 63*u**2/2 + 3969*u - 711. Factor i(x).
(x + 126)**2/4
Factor 3*w + 120 - 3*w**2 + 3*w**2 - 5*w**2 - 53*w.
-5*(w - 2)*(w + 12)
What is z in -11/5*z - 1/5*z*