 Factor w(h).
2*(h - 2)**2/3
Let m(l) be the second derivative of -45*l**7/14 + 357*l**6/10 - 165*l**5/4 - 145*l**4/4 + 40*l**3 + 42*l**2 + 15*l + 1. Suppose m(d) = 0. What is d?
-2/5, -1/3, 2/3, 1, 7
Let r(u) be the third derivative of 4*u**2 + 1/1344*u**8 - 1/120*u**5 + 0*u**7 + 0 + 0*u + 1/12*u**3 - 1/120*u**6 + 1/32*u**4. Factor r(z).
(z - 2)*(z - 1)*(z + 1)**3/4
Let g(u) be the third derivative of u**7/3780 - u**6/360 + u**5/90 - u**4/6 - u**2. Let t(r) be the second derivative of g(r). Factor t(b).
2*(b - 2)*(b - 1)/3
Let x(l) = l + 1. Let k(d) = 3*d**2 - 16*d + 8. Let j(b) = k(b) + 4*x(b). Factor j(u).
3*(u - 2)**2
Suppose d = -3*u - d + 15, 15 = 2*u + 3*d. Let r = 4 - 1. Factor -r*s - s + 5*s**2 - u*s**2.
2*s*(s - 2)
Let m(u) be the second derivative of -3*u**5/50 + u**4/15 - u**3/45 + 2*u. What is h in m(h) = 0?
0, 1/3
Let d(g) be the third derivative of -3*g**2 + 1/1260*g**6 + 0 + 1/3*g**3 + 0*g - 1/84*g**4 + 0*g**5. Let t(v) be the first derivative of d(v). Solve t(w) = 0.
-1, 1
Let j(i) be the second derivative of i**6/20 + 25*i**5/8 + 287*i**4/4 + 637*i**3 - 686*i**2 - 9*i. Find y such that j(y) = 0.
-14, 1/3
Factor 0*r + 12/5*r**2 + 6/5*r**3 + 0.
6*r**2*(r + 2)/5
Let w = -3/11918 + -1047839/3754170. Let l = -2/35 - w. Factor 4/9*u + 2/3*u**2 + 0 + l*u**3.
2*u*(u + 1)*(u + 2)/9
Let r(z) = -z**3 - 8*z**2 - 7*z + 2. Let k be r(-7). Solve 2*n**k + 2*n**4 + 4*n**3 - 4*n**3 + 4*n**3 = 0 for n.
-1, 0
Suppose -5*t = 4*u + 32, 5*u + 4*t = 3*t - 19. Let n = u - -6. Suppose 1/4*q**n + 0*q + 3/4*q**5 - 1/4*q**2 + 0 + 5/4*q**4 = 0. What is q?
-1, 0, 1/3
Suppose -7*o = -3*c - 3*o + 3, 5*c - 4*o - 13 = 0. Suppose -74/9*p**2 - 26/9*p**4 - 40/9*p - 4/9*p**c - 64/9*p**3 - 8/9 = 0. Calculate p.
-2, -1, -1/2
Let n(z) = -z - 10. Let x be n(-10). Let y be 1 - 2*2/(-4). Factor -3*u - 2*u**3 + y*u**2 + x*u**3 + 3*u.
-2*u**2*(u - 1)
Suppose 0 = 2*v - 5*i + 11, 0 = 2*v - 3*i + 4 + 1. Let -2*o**2 + v*o + 0*o - 8*o**3 + 6*o + 2 = 0. What is o?
-1, -1/4, 1
Let t = 39243/175 + -1474/25. Let i = t + -165. Suppose 0 - i*q**4 + 4/7*q**3 - 4/7*q + 2/7*q**2 = 0. What is q?
-1, 0, 1, 2
Let l(f) be the third derivative of -f**8/20160 + f**7/2520 - f**5/90 - f**4/12 + 4*f**2. Let n(g) be the second derivative of l(g). Factor n(p).
-(p - 2)**2*(p + 1)/3
Let w(a) be the second derivative of a**7/1764 + a**6/840 - a**5/210 + a**4/6 + 4*a. Let k(u) be the third derivative of w(u). Factor k(s).
2*(s + 1)*(5*s - 2)/7
Let b be (3 - 0)*(-3)/(-3). Find k such that -2*k**b + 1 + 2*k**2 + 0 + 2*k + 0*k - 3 = 0.
-1, 1
Factor 2/3*f**2 + 8*f + 24.
2*(f + 6)**2/3
Let d(f) = 16*f**4 + 20*f**3 + 32*f**2 + 28*f. Let c(x) = -5*x**4 - 7*x**3 - 11*x**2 - 9*x. Let y(j) = 20*c(j) + 6*d(j). Factor y(k).
-4*k*(k + 1)**2*(k + 3)
Let w(v) = v**2 - 1. Let t(x) = -26*x + 14. Let p(n) = -t(n) - 6*w(n). Factor p(o).
-2*(o - 4)*(3*o - 1)
Let c be ((-476)/(-18))/(-7) - -4. Find n, given that 4/9*n**2 + 2/9*n**3 + 0 + c*n = 0.
-1, 0
Determine h so that 4*h**2 + 15 + 17*h - 7*h - 6*h**2 - 3*h**2 = 0.
-1, 3
Let r = -1/36 + 5/126. Let j(b) be the third derivative of -1/735*b**7 - 2/21*b**3 + 0*b + r*b**4 + 1/70*b**5 + 0 - 1/420*b**6 + b**2. Let j(q) = 0. What is q?
-2, -1, 1
Let j(s) be the third derivative of -s**7/1260 - s**6/720 + s**5/360 + s**4/144 - 4*s**2. Factor j(x).
-x*(x - 1)*(x + 1)**2/6
Let z(b) = -11*b**3 + 20*b**2 - 23*b + 14. Let w(n) = 7*n**3 - 13*n**2 + 15*n - 9. Let j(h) = -8*w(h) - 5*z(h). Factor j(r).
-(r - 2)*(r - 1)**2
Factor 1/3*j + 0 - 4/3*j**2.
-j*(4*j - 1)/3
Let m(c) be the first derivative of c**7/420 + c**6/180 - c**5/30 + 2*c**3/3 + 1. Let l(n) be the third derivative of m(n). Solve l(a) = 0.
-2, 0, 1
Let u be 0/(1*(2 - 1)). Suppose 0*i - 2/3*i**3 + 0 + u*i**2 = 0. Calculate i.
0
Let -2/3*q**4 - 40/9*q**2 + 0 - 28/9*q**3 - 16/9*q = 0. Calculate q.
-2, -2/3, 0
Let a be 1/3*60/50. What is g in a*g + 0 + 0*g**2 - 2/5*g**3 = 0?
-1, 0, 1
Let x(a) be the first derivative of -2*a**3 - 3/20*a**5 - 15/16*a**4 - 3/2*a**2 - 1 + 0*a. Find j, given that x(j) = 0.
-2, -1, 0
Factor 0*f + 1/3 - 1/3*f**2.
-(f - 1)*(f + 1)/3
Let y(k) be the third derivative of -1/300*k**5 - 1/200*k**6 + 0 + 1/40*k**4 + 0*k + 5*k**2 + 1/30*k**3. Factor y(h).
-(h - 1)*(h + 1)*(3*h + 1)/5
Let a(y) = -5*y + 22. Let k be a(4). Let -k*b + 14/3*b**3 - 2*b**4 - 2*b**2 + 4/3 = 0. What is b?
-2/3, 1
Let k(h) be the second derivative of -h**5/180 + h**4/36 - h**3/18 + h**2/18 + 17*h. Find x such that k(x) = 0.
1
Let q(y) = 2*y**2. Let t be q(1). Factor 2/7*x + 10/7*x**3 + 0 + 4/7*x**4 + 8/7*x**t.
2*x*(x + 1)**2*(2*x + 1)/7
Suppose 4*k - k = 0. Find s, given that 0 + k*s + 0*s**2 - 1/5*s**3 = 0.
0
Let -3*n**2 + 6*n + 14*n**3 - 8*n**3 - 2*n + 13*n**2 = 0. What is n?
-1, -2/3, 0
Suppose -2*c + 10 = 4*g, 4*c - 8*g - 8 = -4*g. Let o be (18/(-15))/(3/(-10)). Let 2*v**3 - c + 3 - 4*v**2 + 2*v**o = 0. Calculate v.
-2, 0, 1
Let f(d) = -d**2 - d + 1. Let q(h) = -9*h**2 - 12*h + 15. Suppose -18 = -3*j + 3*u, 0*j = j + 4*u + 19. Let m(a) = j*q(a) - 6*f(a). What is v in m(v) = 0?
-3, 1
Let w = -5 + 34. Let p = w + -85/3. What is u in 0 - 4*u**3 + p*u**2 + 0*u + 6*u**4 = 0?
0, 1/3
Let u = 725/1659 + -2/237. Let t(x) be the first derivative of 3/14*x**4 - 2 - u*x**2 - 2/7*x + 2/21*x**3. Factor t(z).
2*(z - 1)*(z + 1)*(3*z + 1)/7
Let i(u) be the first derivative of 6*u**5/35 - 5*u**4/2 + 88*u**3/7 - 144*u**2/7 - 128*u/7 - 15. Find h such that i(h) = 0.
-1/3, 4
Let z(t) be the first derivative of t - t**2 + 1/3*t**3 + 5. Factor z(p).
(p - 1)**2
Let v(s) be the second derivative of -5*s**4/12 + 5*s**3/6 + 5*s**2 - 7*s. Find d such that v(d) = 0.
-1, 2
Let c = 2 - -3. Suppose -16 = -c*i + i. Solve -6*m**2 - 2 + 0*m - 6*m - 6*m + i*m = 0 for m.
-1, -1/3
Solve 10*h**3 + h**2 - 13*h**3 + 0*h**5 - 2*h**2 - 3*h**4 - h**5 = 0 for h.
-1, 0
Suppose 7*c - 20 = -6. Let r(y) be the third derivative of 1/40*y**5 - 1/4*y**3 - 1/16*y**4 - c*y**2 + 0*y + 1/80*y**6 + 0. What is l in r(l) = 0?
-1, 1
Let x = 31 - 29. Let g(q) be the second derivative of 2*q - 1/6*q**4 + 0*q**x - 2/3*q**3 + 0. Let g(o) = 0. What is o?
-2, 0
Let t(q) be the third derivative of 0 + 0*q + 4/3*q**3 + 1/3*q**4 - 4*q**2 + 1/30*q**5. Factor t(v).
2*(v + 2)**2
Let c(g) = g**2 - 9*g + 2. Let k be c(9). Suppose 5*s + 0 = h + 6, 0 = -k*s - 3*h + 16. Factor -1/2*p + 0 + 1/2*p**3 + 1/2*p**s - 1/2*p**4.
-p*(p - 1)**2*(p + 1)/2
Let -15*t - 4*t + 3*t + 4*t**2 - 10 + 26 = 0. Calculate t.
2
Let -12/7*p + 2/7*p**2 + 18/7 = 0. Calculate p.
3
Let k(b) be the second derivative of -b**5/90 + b**4/54 + 2*b**3/27 - 7*b. Factor k(t).
-2*t*(t - 2)*(t + 1)/9
Let v(t) = -t**3 - 6*t**2 + 4. Let o be v(-6). Suppose 2 = 3*k - o. Suppose -k + 2*x - x**2 - x**2 + 2*x = 0. What is x?
1
Factor 2/9*m + 0 - 2/9*m**2.
-2*m*(m - 1)/9
Suppose -2*x + 7*x = 15. Factor 3 - 1 - 3*y**3 - 3*y**2 + y**3 + x*y.
-(y - 1)*(y + 2)*(2*y + 1)
Let t(l) = -2*l + 1. Let n(p) = 61*p + p**2 - 29*p - 33*p + 1. Suppose 9 = -3*b + 3. Let h(c) = b*t(c) + 2*n(c). Factor h(g).
2*g*(g + 1)
Find l, given that -16*l**4 - 22*l**2 + 51*l**3 + 45*l**3 - 420*l - 30*l**2 + 392 = 0.
-2, 1, 7/2
Let c = -48 + 48. Let a(u) be the second derivative of 1/30*u**6 + 0*u**4 - 2*u + 0*u**5 + c*u**3 + 0*u**2 - 1/42*u**7 + 0. Let a(h) = 0. What is h?
0, 1
Suppose -2*t + 6*t = 0. Factor 18*x**2 + 24*x + t - 2 + 10.
2*(3*x + 2)**2
Let u = -290/3 + 97. Factor 9*y**2 + 0*y + 0 + 9*y**3 + 3*y**4 + u*y**5.
y**2*(y + 3)**3/3
Let g = 29 - 24. Suppose g*t + 3 = 13. What is y in 1/3*y**t + 2/3 + y = 0?
-2, -1
Let h = 11 - 5. Let t(n) be the first derivative of 1/3*n**3 + 0*n**2 + 0*n + 2 - 3/4*n**4 + 3/5*n**5 - 1/6*n**h. Factor t(q).
-q**2*(q - 1)**3
Let s(t) be the second derivative of 2*t**7/21 + 16*t**6/15 + 24*t**5/5 + 32*t**4/3 + 32*t**3/3 - 5*t. Let s(w) = 0. What is w?
-2, 0
Suppose -3*a - 294 = 5*z - 0*a, z - a = -62. Let l be 4/z - (-4)/6. Let l*w**3 + 0 + 0*w + 3/5*w**2 = 0. What is w?
-1, 0
Let l(s) be the third derivative of -s**8/3360 + s**7/560 - s**6/240 + s**5/240 + s**3/2 - 3*s**2. Let g(r) be the first derivative of l(r). Factor g(a).
-a*(a - 1)**3/2
Suppose -4*d - 5*i + 0*i + 11 = 0, -3*d - 5*i = -7. Factor -1 - r**3 + d - 3.
-r**3
Let t(z) be the second derivative of -z**6/6 + 7*z**5/4 - 15*z**4/4 - 45*z**3/2 + 135*z**2 - 34*z. Factor t(q).
