e the third derivative of -l**6/1260 + 4*l**5/105 - 16*l**4/21 + 3*l**3 - 32*l**2. Let f(d) be the first derivative of t(d). Factor f(x).
-2*(x - 8)**2/7
Let w be 9/2 + 15/40*-4. Let n(x) be the second derivative of -1/105*x**6 + 0*x**2 + 0 + 1/294*x**7 + 1/42*x**4 + 0*x**5 - w*x - 1/42*x**3. Factor n(z).
z*(z - 1)**3*(z + 1)/7
Suppose -34 = 221*y - 918. Find w such that -1/11*w**y - 7/11*w**2 + 5/11*w**3 + 0 + 3/11*w = 0.
0, 1, 3
Let 0 - 2/3*y**2 - 8/9*y + 2/9*y**3 = 0. Calculate y.
-1, 0, 4
Let u(i) be the second derivative of -3*i**5/10 - 227*i**4/6 - 149*i**3/3 + 75*i**2 + 416*i. Suppose u(z) = 0. Calculate z.
-75, -1, 1/3
Let t(u) be the second derivative of -u**7/84 - u**6/60 + 41*u**5/40 - 37*u**4/8 + 6*u**3 + u + 169. Let t(z) = 0. What is z?
-8, 0, 1, 3
Factor -3/8*h**2 + 9/8*h - 3/4.
-3*(h - 2)*(h - 1)/8
Let v(c) be the first derivative of c**3/3 - 2*c**2 + 5*c - 6. Let x be v(3). Determine l so that -l**x + 4/3 + 2/3*l**3 - 4/3*l + 1/3*l**4 = 0.
-2, 1
Let a be -2 + 1 - (10 - 13). Factor 29 - 29 + 3*n**a - n**2.
2*n**2
Let x(c) be the first derivative of c**7/252 - c**6/90 + 9*c - 2. Let d(o) be the first derivative of x(o). Solve d(i) = 0 for i.
0, 2
Find h, given that 0*h**2 - 4*h**2 + 11 - 4*h**2 + h - 5*h + 1 = 0.
-3/2, 1
Let f(k) = -k - 1. Let h(s) = -3*s**2 + 24*s - 9. Let a(p) = -6*f(p) - h(p). What is m in a(m) = 0?
1, 5
Let z(u) = -u**3 + 3*u**2 + 47. Let h be z(0). Let a = -47 + h. Determine b so that 0*b + a - 2/3*b**4 - 1/3*b**3 + 1/3*b**5 + 2/3*b**2 = 0.
-1, 0, 1, 2
Suppose -5*k + 16 = 4*y - 60, 5*y - 5*k = 50. Let w be (3 + -2)/(7/y). Factor -f**3 + 7*f**3 + 4*f**4 - 9*f**2 + 2*f**3 - 3*f**w.
4*f**2*(f - 1)*(f + 3)
Let y(u) be the second derivative of u**7/147 + u**6/35 + u**5/70 - u**4/14 - 2*u**3/21 - 501*u. Find c such that y(c) = 0.
-2, -1, 0, 1
Let u(b) be the second derivative of -b**6/15 - b**5/5 + 2*b**3/3 + b**2 - b - 2. Solve u(o) = 0.
-1, 1
Let s(l) be the first derivative of -l**6/1260 - l**5/420 + 4*l**3/3 + 27. Let p(t) be the third derivative of s(t). Factor p(u).
-2*u*(u + 1)/7
Let n be 16 - (-11)/((-374)/493). What is p in -9/2*p + n*p**2 + 0 = 0?
0, 3
Let y(m) be the first derivative of 15 + 5/2*m**2 + 0*m + 5/3*m**3. Factor y(b).
5*b*(b + 1)
Let g(f) be the third derivative of f**5/30 + 2*f**4/3 + 7*f**3/3 + 220*f**2. Let g(q) = 0. Calculate q.
-7, -1
Factor -1219*t**3 - 6*t - 4*t + 5*t**5 + 1224*t**3 + 15*t**2 - 15*t**4.
5*t*(t - 2)*(t - 1)**2*(t + 1)
Let n be (3/(-12))/((-1)/4). Let y(h) be the first derivative of 1/21*h**3 - 1/7*h - n + 0*h**2. What is w in y(w) = 0?
-1, 1
Let p(g) = -g - g - 13 + 4*g. Let z be p(8). Find t, given that 4*t**2 + z*t - 4 + 12*t + 0 = 0.
-4, 1/4
Let r(h) = -h**3 - 4*h**2 - 5*h + 1. Let z be r(-2). Let k be ((-18)/(-75))/(3*(-4)/(-40)). Factor 12/5*x - 12/5*x**z + k*x**4 + 4/5*x**2 - 8/5.
4*(x - 2)*(x - 1)**2*(x + 1)/5
Let -4*i + 32/9*i**2 + 4*i**3 + 2/9*i**4 - 34/9 = 0. What is i?
-17, -1, 1
Let m = -969/10 - -97. Let d(w) be the second derivative of -27/100*w**5 - 3/5*w**2 - 7*w + 3/5*w**4 + 0 - m*w**3. Find t such that d(t) = 0.
-1/3, 2/3, 1
Let g(q) be the third derivative of 1/140*q**6 - 18*q**2 - 1/84*q**4 - 2/105*q**5 + 0 + 0*q + 2/21*q**3. Determine f so that g(f) = 0.
-2/3, 1
Let f(j) be the third derivative of 0*j**3 + 0 + 1/6*j**4 + 11*j**2 + 0*j + 1/15*j**5. Factor f(v).
4*v*(v + 1)
Suppose 5*k + 4*a - 31 = -0*a, 0 = 4*k + 5*a - 32. Factor -2 - 22 + 15*l**2 + 3 + 1 + 5*l**k.
5*(l - 1)*(l + 2)**2
Let h(i) = 3*i**2 + 11*i + 5. Let x be (8/10)/(4/(-20)). Let r be h(x). Solve -22*n + 14*n**2 + 69 - 65 + 22*n**3 + r*n**4 - 27*n**4 = 0.
-1, 2/9, 1
Let a be 12/36*(-6)/(-60). Let s(z) be the third derivative of 0*z**5 + 0*z - 4/3*z**3 - 1/2*z**4 + a*z**6 + 0 - 3*z**2. Solve s(j) = 0 for j.
-1, 2
Suppose 24 - 76 = -2*x. Let 7*c - 10 + 20*c**2 - 4*c**3 + x - 11*c - 28*c = 0. What is c?
1, 2
Let w(k) = -3*k**4 + 1. Let f(x) = 34*x**4 + 10*x**3 - 225*x**2 - 90*x - 3. Let m(z) = f(z) + 3*w(z). Factor m(n).
5*n*(n - 3)*(n + 3)*(5*n + 2)
Let g = -1165 - -1167. Determine i, given that 3/5*i + 1/5*i**3 - 1/5 - 3/5*i**g = 0.
1
Let o be -27 + 3 + (29 - 1). Solve 0*f - 3 + 0*f**3 + 15/4*f**2 - 3/4*f**o = 0 for f.
-2, -1, 1, 2
Let g(d) be the third derivative of 0*d + 0*d**3 - d**2 + 0 + 1/40*d**5 - 1/16*d**4. Factor g(v).
3*v*(v - 1)/2
Let h = 491 + -487. Let q(a) be the third derivative of 0*a - 2/315*a**7 + 1/120*a**6 - 5*a**2 - 1/360*a**5 + 0 + 0*a**3 + 0*a**h. Let q(y) = 0. Calculate y.
0, 1/4, 1/2
Let i(h) = 16*h**3 + 143*h**2 - 23*h - 121. Let r be i(-9). Let 9/4*z**2 - 21/8*z**4 - 13/4*z**3 + 9/8*z**r + 3/8 + 17/8*z = 0. Calculate z.
-1, -1/3, 1, 3
Factor -3*b**3 + 261*b**2 + 250*b**2 - 613*b**2.
-3*b**2*(b + 34)
Let w(l) = -187*l**2 + 188*l - 29. Let d(u) = 62*u**2 - 63*u + 9. Let n(z) = -7*d(z) - 2*w(z). Factor n(x).
-5*(x - 1)*(12*x - 1)
Let y(c) be the first derivative of -c**6/27 + 2*c**5/15 + c**4/6 - 14*c**3/27 - 2*c**2/3 - 546. Find t such that y(t) = 0.
-1, 0, 2, 3
Suppose -18*z**4 + 77*z**3 - 95*z**3 + 2*z**5 + 13*z**2 + 16*z - 24 + 16*z**4 + 21*z**2 - 8*z**2 = 0. Calculate z.
-3, -1, 1, 2
Let 3 - 9/2*d + 3/2*d**2 = 0. What is d?
1, 2
Let k(b) be the second derivative of -b + 1/60*b**4 + b**2 - 11/30*b**3 - 26. Factor k(y).
(y - 10)*(y - 1)/5
Let c(o) = -o**2 + 297*o. Let x(b) = b**2 + 298*b. Let s(d) = 2*c(d) - 3*x(d). Factor s(h).
-5*h*(h + 60)
Let x(r) be the second derivative of r**7/63 - 2*r**6/9 - r**5/30 + 5*r**4/9 - 6*r + 3. Solve x(a) = 0.
-1, 0, 1, 10
Suppose -5*a - 144 + 674 = 0. Let r = -106 + a. Factor 0*j + r - 1/2*j**2.
-j**2/2
Let q(p) be the first derivative of p**6/15 + 3*p**5/5 + 11*p**4/6 + 2*p**3 - 47*p - 50. Let w(f) be the first derivative of q(f). Factor w(v).
2*v*(v + 1)*(v + 2)*(v + 3)
Let q(y) = 2*y + 2. Let w(x) = -x + 5*x + x**2 + 5 + 0*x. Suppose 13 = -21*b + 118. Let u(s) = b*q(s) - 2*w(s). Factor u(n).
-2*n*(n - 1)
Let m(a) be the first derivative of 1/12*a**3 - 1/4*a**4 + 1/2*a**2 + 0*a - 1/20*a**5 + 9. Factor m(w).
-w*(w - 1)*(w + 1)*(w + 4)/4
Let j(m) be the second derivative of -1/5*m**5 - 1/30*m**6 + 0*m**3 + 11*m + 0 + 0*m**2 + 1/3*m**4 + 1/42*m**7. Factor j(y).
y**2*(y - 2)*(y - 1)*(y + 2)
Let t be (17 + 290/(-29))*4/70. Suppose 14/5*n + t*n**3 + 2*n**2 + 6/5 = 0. Calculate n.
-3, -1
Find x such that 28/5*x**3 + 4/5*x**4 + 36/5*x**2 - 216/5 - 108/5*x = 0.
-3, 2
Let o be 2 + (15 + 0 - 1). Suppose o = 4*u, -u + 6*u - 20 = k. Factor -2/3*x**2 + 2/3*x + k.
-2*x*(x - 1)/3
Let n(c) be the third derivative of 2/27*c**4 + 0*c + 4/27*c**3 - 1/180*c**6 + 9*c**2 + 1/270*c**5 + 0. Factor n(o).
-2*(o - 2)*(o + 1)*(3*o + 2)/9
Factor -3/4*r + 1/4*r**2 - 1/4 + 3/4*r**3.
(r - 1)*(r + 1)*(3*r + 1)/4
Solve 28 + 45*p**2 - 12 - 5*p**3 - 16 + 260*p = 0.
-4, 0, 13
Let p(d) = -6*d**2 - 12*d - 15. Let m(s) be the first derivative of -11*s**3/3 - 25*s**2/2 - 29*s + 23. Let t(b) = -3*m(b) + 5*p(b). Factor t(y).
3*(y + 1)*(y + 4)
What is i in -18*i**2 + 20*i**3 + 7*i**4 - 3*i**4 - 2*i**2 - 12*i**3 - 24*i = 0?
-3, -1, 0, 2
Let y(t) be the second derivative of t**6/45 + 17*t**5/30 + 29*t**4/6 + 91*t**3/9 - 196*t**2/3 + 859*t. Find x such that y(x) = 0.
-7, -4, 1
Find m such that -31/5*m**2 - 1/5*m**3 - 59/5*m - 29/5 = 0.
-29, -1
Let v(f) = -76*f**2 + 236*f + 108. Let m(a) = 30*a**2 - 94*a - 43. Let h(g) = 12*m(g) + 5*v(g). Factor h(b).
-4*(b - 3)*(5*b + 2)
Let y(i) be the first derivative of 8*i**4 - 688*i**3 + 513*i**2 - 128*i + 387. Solve y(u) = 0 for u.
1/4, 64
Let y(i) be the first derivative of -i**6/6 - i**5/5 + 3*i**4/2 + 14*i**3/3 + 11*i**2/2 + 3*i - 132. Factor y(n).
-(n - 3)*(n + 1)**4
Let y = 62002/139545 - -2/15505. Determine x so that -2/9*x + y - 2/9*x**2 = 0.
-2, 1
Let q be ((-42)/(-63))/(((-1)/(-6))/1). Suppose 2*a + q*v = 20, 3*a - 4*a - 20 = -4*v. Factor 0 + a*b - 8/9*b**4 - 2/3*b**3 + 2/9*b**2.
-2*b**2*(b + 1)*(4*b - 1)/9
Let b(m) be the third derivative of -m**6/120 - m**5/6 + 5*m**4/12 - 4*m**3/3 + 3*m**2. Let o be b(-11). Factor -2*s - 6*s**o + 8*s**3 - s**2 - s**3.
s*(s - 2)*(s + 1)
Let v(x) be the third derivative of -x**4/12 + x**3 - 6*x**2. Let p be v(2). Suppose 4/9 + 8/9*h**p + 2/9*h**3 + 10/9*h = 0. Calculate h.
-2, -1
Factor -15*m - 2*m + 2*m + 5*m**2 + 15*m**2 - 5*m**3.
-5*m*(m - 3)*(m - 1)
Let j(o) = o**3 - 22*o**2