 the third derivative of -1/12*d**4 - 6*d**2 - 2/21*d**3 + 0 + 0*d - 4/105*d**5 - 1/140*d**6. Factor t(r).
-2*(r + 1)**2*(3*r + 2)/7
Let d(q) be the third derivative of 5*q**8/336 + q**7/6 + 5*q**6/24 - 7*q**5/12 - 5*q**4/4 + 115*q**2. Factor d(k).
5*k*(k - 1)*(k + 1)**2*(k + 6)
Let x(a) be the second derivative of -a**6/6 - a**5 + 25*a**4/12 + 30*a**3 + 90*a**2 + 453*a. Factor x(h).
-5*(h - 3)*(h + 2)**2*(h + 3)
Determine x so that -2/9*x**2 + 4/9*x + 2/9*x**4 + 0 - 4/9*x**3 = 0.
-1, 0, 1, 2
Let h(n) = -5*n**2 + 29*n + 68. Let y(o) = -10*o**2 + 60*o + 135. Let f(i) = 5*h(i) - 2*y(i). Factor f(j).
-5*(j - 7)*(j + 2)
Let v(g) be the first derivative of -4*g**3 + 105*g**2/2 + 27*g - 250. Determine q, given that v(q) = 0.
-1/4, 9
Suppose -16 = 4*b, c - b - 1 = -0*c. Let n be -2*(c + (-3)/(-6)). What is a in 6 - a - 2*a**2 + 10*a + n*a**2 = 0?
-2, -1
Let p(u) be the second derivative of -5*u**4/12 - 25*u**3/3 - 60*u**2 + 62*u. What is d in p(d) = 0?
-6, -4
Let h(j) = -12*j**2 + 216*j - 68. Let z(v) = -48*v**2 + 862*v - 270. Let b(f) = 9*h(f) - 2*z(f). Factor b(u).
-4*(u - 18)*(3*u - 1)
Let c(d) be the first derivative of d**8/112 - d**7/70 - d**6/40 + d**5/20 + d**2/2 + 5. Let w(n) be the second derivative of c(n). Find r such that w(r) = 0.
-1, 0, 1
What is l in 0 + 8/7*l**2 + 3/7*l**3 + 4/7*l = 0?
-2, -2/3, 0
Let w(c) be the first derivative of 5*c**3/3 + 95*c**2/2 + 90*c + 90. Suppose w(y) = 0. Calculate y.
-18, -1
Factor 73/5*a - 22/5 + 14/5*a**2.
(2*a + 11)*(7*a - 2)/5
Let i(m) = m - 4. Let q be i(5). Let v(l) = 4*l**3 + 4*l**2 - 7*l. Let a(k) = -k. Let p(d) = q*v(d) + a(d). Factor p(w).
4*w*(w - 1)*(w + 2)
Let h(t) = -t**3 + 7*t**2 + t - 5. Let a be h(7). Find x such that 10*x**3 + 2 - 8*x**3 - x**2 - x**a - 2*x = 0.
-1, 1
Let c(r) = -r**2 - 4*r - 1. Let w be c(-3). Let g(p) = -9*p - 3. Let u be g(-2). Factor 11*s - u*s + s**w + 2 + 2.
(s - 2)**2
Let w = -239 + 242. Let l(g) be the first derivative of 1/4*g**4 + 0*g**2 - 1 + 1/5*g**5 - 2/3*g**w + 0*g. Let l(t) = 0. What is t?
-2, 0, 1
Let x(a) be the third derivative of -a**6/160 - a**5/80 + a**4/2 - 5*a**3/2 + 72*a**2. Solve x(t) = 0 for t.
-5, 2
Determine n so that 3*n**2 - 243725 + 243725 - 207*n = 0.
0, 69
Let q(f) = 2*f**5 - f**4 + f**3 - f - 1. Let l(a) = -21*a**5 + 10*a**4 - 13*a**3 + 2*a**2 + 12*a + 10. Let t(b) = 2*l(b) + 22*q(b). Find o such that t(o) = 0.
-1, 1
Let i(u) = -u**2 + 3*u**2 + 5*u - u**2 + 0*u**2. Let w be i(-6). Let -9*a + w*a**2 + a + 6*a = 0. Calculate a.
0, 1/3
Factor -54/5 - 42/5*u**4 - 312/5*u**2 - 3/5*u**5 + 198/5*u**3 + 213/5*u.
-3*(u - 1)**4*(u + 18)/5
Let v(n) be the second derivative of -n**5/110 - 5*n**4/33 - 9*n**3/11 - 18*n**2/11 + n + 26. Factor v(c).
-2*(c + 1)*(c + 3)*(c + 6)/11
Let o(y) = 7*y**3 + 70*y**2 + 455*y + 10. Let j(r) = 10*r**3 + 104*r**2 + 682*r + 14. Let x(i) = -5*j(i) + 7*o(i). Suppose x(m) = 0. Calculate m.
-15, 0
Factor -460*i**2 - 476*i - 283 - 621*i - 60 - 4*i**3 + 189*i - 109.
-4*(i + 1)**2*(i + 113)
Let z = -3 + 6. Let x(a) = -7 + 5*a**3 - 13*a + 2*a**3 + 19 - 6*a**3. Let j(g) = 6*g - 6. Let s(n) = z*x(n) + 5*j(n). Determine q so that s(q) = 0.
-2, 1
Let a(g) = -94*g - 1124. Let o be a(-12). Factor d + 1/3 + 4/3*d**o - d**3 - 5/3*d**2.
(d - 1)**2*(d + 1)*(4*d + 1)/3
Let a = -25648 + 25651. Let x be -2 - -2*(-4)/(-3). Determine k so that 0 - x*k - 1/3*k**5 + 1/3*k**4 - 1/3*k**2 + k**a = 0.
-1, 0, 1, 2
Let x = 12/283 + 259/566. Let j(w) be the first derivative of x*w**4 + 6/7*w**3 + 0*w + 1 + 2/7*w**2. Factor j(h).
2*h*(h + 1)*(7*h + 2)/7
Suppose -27/2*v - 121/8*v**5 - 1 - 785/8*v**3 - 66*v**4 - 239/4*v**2 = 0. What is v?
-2, -1, -2/11
Let 3*m**4 - 53*m + 34 - 4*m**4 - 10*m**4 + 13*m**4 + 3*m**2 - 3*m**4 + 17*m**3 = 0. Calculate m.
-2, 1, 17
Let z = 11/328 + 623/984. Factor 0*r + z*r**2 + 8/3*r**3 + 0.
2*r**2*(4*r + 1)/3
Let o(i) be the third derivative of i**6/60 + 7*i**5/15 - 31*i**4/12 + 16*i**3/3 + 36*i**2 + 2. Suppose o(n) = 0. Calculate n.
-16, 1
Factor 2 + 25/4*o + 27/4*o**2 + 11/4*o**3 + 1/4*o**4.
(o + 1)**3*(o + 8)/4
Solve 2/5*l**2 + 4/5*l + 0 = 0.
-2, 0
Let c(b) = b**3 + b**2 - 9*b + 9. Let n be c(2). Let i(p) be the first derivative of -1 - 6*p**2 + 0*p - 147/4*p**4 - 28*p**n. Factor i(z).
-3*z*(7*z + 2)**2
Let s = 6524 + -13035/2. What is a in -23/2*a**2 - 3/2*a**3 - 1 + 9/2*a**4 - s*a = 0?
-1, -1/3, 2
Let n = -91/3 + 643/21. Suppose -6/7*o**3 - 10/7*o - n - 2*o**2 = 0. Calculate o.
-1, -1/3
Let p = -44036 - -308255/7. Factor 0 - p*b**2 + 3/7*b.
-3*b*(b - 1)/7
Factor 36/7 - 2/7*u**2 + 2*u.
-2*(u - 9)*(u + 2)/7
Find r such that 15*r**2 + 27*r + 12 + 3*r**3 + 51*r - 83*r + 29*r = 0.
-2, -1
Let h(m) be the first derivative of -m**5/20 - 7*m**4/8 - 6*m**3 - 20*m**2 - 32*m - 42. Let h(j) = 0. What is j?
-4, -2
Factor 6/7*p + 4/7*p**2 + 0 - 2/7*p**3.
-2*p*(p - 3)*(p + 1)/7
Let u be 2/15 - 86/(-30). Factor 6*l**2 - 521 + u*l**3 + 521.
3*l**2*(l + 2)
Factor 43*o**2 - 30*o + 5*o**3 - 41*o**2 + 23*o**2.
5*o*(o - 1)*(o + 6)
Determine d so that -146*d**2 - 36 + 2*d**3 + 289/2*d = 0.
1/2, 72
Let f(y) be the second derivative of y**4/54 - 28*y**3/27 + 196*y**2/9 + 31*y. Factor f(g).
2*(g - 14)**2/9
Let l(g) be the first derivative of -5*g**4/24 + 65*g**2/12 - 10*g + 135. Factor l(f).
-5*(f - 3)*(f - 1)*(f + 4)/6
Let a(g) be the first derivative of g**6/600 + g**5/150 + 5*g**2/2 - 7. Let f(t) be the second derivative of a(t). Let f(q) = 0. What is q?
-2, 0
Suppose c = j + 10, -3*c - j - 22 = -5*c. Suppose p - 5*p - 4*d = -24, -2*p + 4*d - c = 0. Find f such that 0*f + 0 + 1/6*f**p = 0.
0
Find z such that -9/2 - 1/2*z**2 - 3*z = 0.
-3
Let p be (-1)/(14/11) - 35/(-42). Let i(j) be the third derivative of 0*j + p*j**4 + 13*j**2 - 1/7*j**3 - 1/210*j**5 + 0. Factor i(v).
-2*(v - 3)*(v - 1)/7
Let b be 12/(-9)*(-2 + (-44)/8). Find c such that -b*c**2 + 75*c - 24*c**3 - 3*c**4 - 35*c**2 - 3*c**3 = 0.
-5, 0, 1
Suppose 2*u - 4*u + 16 = 0. Let b(d) be the third derivative of u*d**3 + 0*d - 7*d**2 + d**4 + 1/20*d**5 + 0. Factor b(j).
3*(j + 4)**2
Let m be -17 + 37 + 1/((-1)/3). Let 20 - 41 - 8*d**2 + m - 3*d**3 + 15*d = 0. Calculate d.
-4, 1/3, 1
Let a(z) be the first derivative of -z**2/2 + 10*z - 6. Let d be a(8). Factor 0*f**2 - 2*f**d + 7 + f - f**5 + 2*f**4 - 7.
-f*(f - 1)**3*(f + 1)
Let u = -32 + 59. Let s = 32 - u. Suppose -3*h**5 - h**3 - 4 - 78*h**2 + 98*h**2 - 7*h**s + 2*h - 16*h**4 + 9*h**3 = 0. Calculate h.
-1, 2/5, 1
Let m(x) be the second derivative of x**5/70 + 4*x**4/21 - 40*x. Suppose m(n) = 0. Calculate n.
-8, 0
Let z(s) = -123*s + 615. Let f be z(5). Let q(k) be the third derivative of 1/6*k**5 + 0*k - 4*k**2 - 1/24*k**6 - 5/24*k**4 + 0*k**3 + f. Factor q(a).
-5*a*(a - 1)**2
Let x(i) be the third derivative of i**6/200 - i**5/100 - 7*i**2 + 4*i. Determine o, given that x(o) = 0.
0, 1
Suppose -y = 246 - 194. Let c be 65/y*4/(-10). Factor 1/2*q**4 - c*q**5 + 0*q + 1/2*q**3 + 0 - 1/2*q**2.
-q**2*(q - 1)**2*(q + 1)/2
Let p(r) be the third derivative of 0*r + 0 + 3/10*r**5 + 7/480*r**6 + 25/12*r**3 + 10*r**2 + 65/32*r**4. Find c such that p(c) = 0.
-5, -2/7
Let i be -4 + 133/105 + 3. Let j(c) be the third derivative of 0 - 1/600*c**6 + 1/50*c**5 + 0*c + i*c**3 - 1/10*c**4 + c**2. Determine s, given that j(s) = 0.
2
Let c(b) be the third derivative of -b**7/280 - b**6/30 - b**5/8 - b**4/4 - 3*b**3 - 11*b**2. Let m(d) be the first derivative of c(d). Solve m(k) = 0 for k.
-2, -1
Let z(u) be the first derivative of u**4 - 80*u**3/9 + 18*u**2 - 40*u/3 - 158. Factor z(r).
4*(r - 5)*(r - 1)*(3*r - 2)/3
Let l be -6*(0 - 2/3). Suppose l*t = -2*w + 60, t = -5*w + 2*w + 90. Suppose w*m**2 + 7*m**4 + 67*m**3 - 3*m**3 - 2 + 25*m**4 - 4*m = 0. Calculate m.
-1, -1/4, 1/4
Let k(b) be the second derivative of b**4/60 - 14*b**3/15 - 29*b**2/10 + 111*b. Let k(t) = 0. Calculate t.
-1, 29
Let c = -34 + 46. Let q = -9 + c. Solve 2/5*n + 4/5 - 2/5*n**q - 4/5*n**2 = 0.
-2, -1, 1
Let o(y) be the second derivative of 15*y + 1/120*y**5 + 0*y**2 - 1/180*y**6 + 1/72*y**4 - 1/36*y**3 + 0. Factor o(n).
-n*(n - 1)**2*(n + 1)/6
Let r(b) be the third derivative of -b**5/120 + b**4/12 - b**3/4 + 64*b**2. Let r(z) = 0. What is z?
1, 3
Suppose -a + 261 = 3*n, -5*n + a + 4*a + 455 = 0. Let y = n + -60. Solve x - 6*x + x + y*x**3 - 24*x**2 = 0.
-1/7, 0, 1
Let w(r) = r