+ 1)*(4*f + 1)
Let o(b) be the first derivative of b**3 - 6*b**2 + 12*b + 6. Factor o(m).
3*(m - 2)**2
Let k(q) = 2*q**2 + q. Let w be k(1). Factor -t + w*t - 2*t - 2*t**3 + 2*t**2.
-2*t**2*(t - 1)
Let p be (-3)/(20/(-8) - -1). Let a(x) be the second derivative of 1/105*x**6 - 1/70*x**5 - 1/42*x**4 - 2*x + 0 + 1/21*x**3 + 0*x**p. Find s such that a(s) = 0.
-1, 0, 1
Let u(x) be the first derivative of -1/5*x**5 + 0*x - 1/2*x**2 + 1/3*x**3 + 1/4*x**4 - 3. Determine v so that u(v) = 0.
-1, 0, 1
Let b(s) be the second derivative of s**5/180 + 3*s**2/2 + 4*s. Let o(c) be the first derivative of b(c). Solve o(v) = 0.
0
Suppose x = y - 7, 3*y - 4*x = x + 29. Determine r, given that 0 - 2/5*r**2 + 0*r**y + 0*r + 2/5*r**4 = 0.
-1, 0, 1
Let i(h) be the first derivative of h**5/25 + h**4/4 + 8*h**3/15 + 2*h**2/5 + 3. Factor i(b).
b*(b + 1)*(b + 2)**2/5
Let v(x) be the second derivative of x**4/30 + 2*x**3/5 + 8*x**2/5 + 20*x. Find c such that v(c) = 0.
-4, -2
Let x(c) be the third derivative of c**8/1344 + c**7/280 + c**6/240 - c**5/120 - c**4/32 - c**3/24 + 7*c**2. Find g, given that x(g) = 0.
-1, 1
Factor -f**2 - 2*f**2 + 3*f**2 - 3*f**3 - 3*f**4.
-3*f**3*(f + 1)
Let g(m) = 20*m. Let p be g(1). Let h be ((-2)/p)/(5/(-20)). Factor -2/5*j**2 + 0 - h*j.
-2*j*(j + 1)/5
Let h(p) = 3*p + 4 - 4*p - 2 + 0. Let g be h(-2). Factor -5*o**3 + 4*o**2 + 2*o**g - 3*o**3 + 2*o**3.
2*o**2*(o - 2)*(o - 1)
Let y = -473/3 + 158. Factor 2/3*b - y - 1/3*b**2.
-(b - 1)**2/3
Let v be (16/18)/(76/342). Find y such that -4*y + 1/3*y**2 + 4*y**3 + 4/3 - 5/3*y**v = 0.
-1, 2/5, 1, 2
Let 41*k**2 - 36*k - 16*k**3 + 13 + 7*k**2 - 5 = 0. What is k?
1/2, 2
Let c(m) = m**2 + 2*m - 4. Let b be c(3). Suppose 6*n = b*n - 15. Factor 2/3*j - 2/3*j**n + 1/3*j**4 + 0*j**2 - 1/3.
(j - 1)**3*(j + 1)/3
Solve 5/3*z**2 + 2/3 + 7/3*z = 0.
-1, -2/5
Let p(n) be the first derivative of -2*n**3/33 - 14*n**2/11 - 98*n/11 + 3. Factor p(j).
-2*(j + 7)**2/11
Let q(b) = -b**2 - 4*b + 6. Let y be q(-5). Let u be -2*y/(-1) + 2. Solve -5*f + 2*f**2 + u*f**3 + 4*f**3 - 3 + 4 = 0.
-1, 1/4, 1/2
Let x(t) be the second derivative of t**8/1680 - t**6/180 + t**4/24 + t**3/6 + 2*t. Let q(j) be the second derivative of x(j). Solve q(f) = 0 for f.
-1, 1
Let d = 111/2 + -55. Let 0 - d*j**3 - 3/2*j**2 - j = 0. Calculate j.
-2, -1, 0
Let i(s) be the third derivative of 0*s + 0*s**4 - 1/360*s**6 + 1/180*s**5 + 0*s**3 + 0 + s**2. Factor i(n).
-n**2*(n - 1)/3
Let x(h) = 6*h**2 + 6*h + 3. Let n(f) = -11*f**2 - 12*f - 6. Let w(a) = -3*n(a) - 5*x(a). Determine l, given that w(l) = 0.
-1
Let i(x) be the second derivative of 0 - x + 7/48*x**3 - 1/24*x**4 - 1/40*x**5 - 1/8*x**2. Solve i(b) = 0 for b.
-2, 1/2
Suppose -f + 0*f - 3*c = 10, 4*f - 5 = -3*c. Factor 4*g**f - 2*g**2 - 4*g - 4*g**2 - 2*g**2 + 8*g**4 + 0*g**2.
4*g*(g - 1)*(g + 1)**3
Let d(y) be the second derivative of y**4/66 - y**3/33 - 4*y. Factor d(n).
2*n*(n - 1)/11
Let i(c) be the third derivative of c**7/42 + 17*c**6/120 + c**5/10 - 5*c**4/6 - 4*c**3/3 + 2*c**2. Factor i(w).
(w - 1)*(w + 2)**2*(5*w + 2)
Let m be -6 + 11 + -2 + 0. Find x, given that 0*x - 18/7*x**m + 4/7*x**2 + 2*x**4 + 0 = 0.
0, 2/7, 1
Suppose -4*v + 5*u = -3*v - 23, 5*v - 28 = -4*u. Factor 2*b**2 - 9*b**5 + 2*b + 2*b - 3*b - 2*b**4 + v*b**5.
-b*(b - 1)*(b + 1)**3
Let p(d) be the third derivative of 1/120*d**6 + 0 - 1/1050*d**7 + 7*d**2 - 3/100*d**5 + 7/120*d**4 - 1/15*d**3 + 0*d. Let p(k) = 0. What is k?
1, 2
Factor 2*f**2 + 2*f + 8*f**4 + 3*f**4 - 2*f**3 - 13*f**4.
-2*f*(f - 1)*(f + 1)**2
Let b be -3 - -3*(-15)/(-9). Factor 12/5*f**4 + 0 - 3/5*f**5 + 0*f + 6/5*f**b - 3*f**3.
-3*f**2*(f - 2)*(f - 1)**2/5
Let i(y) be the first derivative of -y**6/1440 + y**5/240 + y**4/32 + 7*y**3/3 + 8. Let v(a) be the third derivative of i(a). Factor v(x).
-(x - 3)*(x + 1)/4
Factor 27*l**5 - 192*l**2 + 14*l - 4*l**4 - 59*l**4 - 81*l**4 + 264*l**3 + 34*l.
3*l*(l - 2)**2*(3*l - 2)**2
Let l = 263/3 + -87. Let w(d) be the first derivative of l*d - 2/9*d**3 + 1/6*d**4 - 3 - 1/3*d**2. Solve w(g) = 0.
-1, 1
Find o, given that -2/9*o**4 + 2/3*o**3 + 0*o + 0 - 4/9*o**2 = 0.
0, 1, 2
Let k = 37/6 - 11/2. Factor y - 1/3*y**2 - k.
-(y - 2)*(y - 1)/3
Let d be ((-6)/8 - (-119)/140)*12. Factor -2*n - 2/5*n**4 + 2/5*n**3 + 4/5 + d*n**2.
-2*(n - 1)**3*(n + 2)/5
Let i be 0 + 0 - (65 + 3). Let v be -3 + (i/(-12) - 2). Factor v*s**2 - 4/9 - 2/9*s.
2*(s - 1)*(3*s + 2)/9
Factor 4/5*o**3 + 2/5*o**2 + 2/5*o**4 + 0 + 0*o.
2*o**2*(o + 1)**2/5
Let c(d) = -2*d - 10. Let s be c(-7). Suppose 8*f**3 + 3*f**s - 7*f**3 + 0*f**4 = 0. Calculate f.
-1/3, 0
Suppose 43*i = -3*i + 92. Suppose -v**4 + 1/2*v**3 + 1/2*v**5 + 0 + 0*v + 0*v**i = 0. Calculate v.
0, 1
Let d = 146/21 - 44/7. Let k = 206/3 + -68. Determine c so that k*c**2 - 4/3*c + d = 0.
1
Suppose 0 + 15 = 5*s. Suppose -3*t + 2*w + 7 = 0, -4*t - t + 13 = -2*w. Let -s*f**3 + f**t - 2*f**2 + 2 - f + 3*f = 0. What is f?
-1, 1
Let v be ((-1)/(-15))/((-10)/12 + 1). Let s be -6*1/(-3 + 0). Factor v*y**4 + 0 + 0*y**s - 2/5*y**3 + 0*y.
2*y**3*(y - 1)/5
Let r(h) be the third derivative of -h**6/240 + 7*h**5/20 - 49*h**4/4 + 686*h**3/3 + 52*h**2. Suppose r(t) = 0. What is t?
14
Let -2/9 - 7/9*k - 5/9*k**2 = 0. Calculate k.
-1, -2/5
Let i(b) be the second derivative of -b**5/60 + b**4/24 - 4*b**2 - 5*b. Let s(g) be the first derivative of i(g). Factor s(d).
-d*(d - 1)
Let q be 9/12 + (-27)/(-18). Factor -q*z**2 - 3/4*z**4 + 0 - 9/4*z**3 - 3/4*z.
-3*z*(z + 1)**3/4
Let t(h) be the second derivative of -1/30*h**6 - 2*h**2 + 0 - 3/10*h**5 - 2*h**3 - 13/12*h**4 - 2*h. Factor t(c).
-(c + 1)**2*(c + 2)**2
Determine a so that -15*a**2 + 4*a**5 - 6*a + 3*a**4 - 5*a**5 - 9*a**3 + 4*a**5 = 0.
-1, 0, 2
Let x = 46096/13 - 3544. Solve 2*h**2 - 54/13*h**4 + 0 + 4/13*h + x*h**3 = 0 for h.
-1/3, -2/9, 0, 1
Let 12*k - 6 - 2 + 0*k**2 - 2*k**2 - 2*k**2 = 0. What is k?
1, 2
Let a(v) = 4*v**2 - 17*v + 27. Let l(j) = 2*j**2 - 9*j + 13. Let r(f) = -6*a(f) + 14*l(f). Factor r(u).
4*(u - 5)*(u - 1)
Find q such that 5*q + 50*q**2 - 47*q**2 - 9 + q = 0.
-3, 1
Suppose 2*c + 4 = -4*n, 5*c + n + 3*n + 34 = 0. Let t be 12/c*10/(-9). Factor 0 + 0*g**2 - 2/3*g**5 - 2/3*g**3 + 0*g + t*g**4.
-2*g**3*(g - 1)**2/3
Let q(c) be the third derivative of 1/100*c**6 + 0*c + 1/50*c**5 - c**2 + 0*c**3 + 1/525*c**7 + 0 + 1/60*c**4. Factor q(u).
2*u*(u + 1)**3/5
Suppose -4*u = -0*u. Let s(a) be the third derivative of -1/630*a**7 + 0*a**3 + 1/72*a**4 + 0 + 1/120*a**6 - 2*a**2 - 1/60*a**5 + u*a. Solve s(y) = 0 for y.
0, 1
Let j(v) = 4*v**2 + 109*v + 251. Let s(i) = i**2 + 36*i + 84. Let p(g) = -4*j(g) + 11*s(g). Factor p(l).
-5*(l + 4)**2
Let v(q) = -13*q - 50. Let u be v(-4). Factor 1/3*k**3 - 2/3*k**u + 1/3*k + 0.
k*(k - 1)**2/3
Factor -8/23*w**3 - 10/23*w**2 + 0 - 2/23*w.
-2*w*(w + 1)*(4*w + 1)/23
Let u(t) be the third derivative of 0 - 27/80*t**5 + 23/160*t**6 - 4*t**2 + 0*t - 1/4*t**3 + 13/32*t**4 - 1/40*t**7. Factor u(r).
-3*(r - 1)**3*(7*r - 2)/4
Let t(c) be the first derivative of -c**3/3 - 4*c**2/5 - 3*c/5 + 4. Find a, given that t(a) = 0.
-1, -3/5
Let i(s) be the second derivative of 0*s**2 - 1/10*s**5 - 1/3*s**3 + 0 + s + 1/3*s**4. Solve i(p) = 0.
0, 1
Solve -u**4 + 6*u**4 + 4*u**4 + 45*u**2 - 48*u**3 + 54*u = 0 for u.
-2/3, 0, 3
Let m(f) be the first derivative of 2/9*f**2 - 2/27*f**3 - 2/9*f - 4. Factor m(q).
-2*(q - 1)**2/9
Let g(y) be the first derivative of -y**6/540 + y**5/270 - y**2/2 - 2. Let c(o) be the second derivative of g(o). Factor c(j).
-2*j**2*(j - 1)/9
Let k(y) be the first derivative of y**5/5 + y**4/3 - 2*y**3/3 - 2*y**2 + 10*y + 6. Let s(f) be the first derivative of k(f). Determine a so that s(a) = 0.
-1, 1
Let z = -6 + 10. Let l = 24 - 20. Find f, given that -f**3 + 2 - f**z - f + 2*f**l - 3*f**2 + 2*f**3 = 0.
-2, -1, 1
Suppose -2*g = -3*x + 16, -3*g - g - 8 = 0. Suppose 3*j = -2*h - 3, h + 4*j + x + 5 = 0. Let -5 - q + 5 + q**h - q**2 + q**4 = 0. What is q?
-1, 0, 1
Let s(x) be the second derivative of 0 + 4/9*x**4 + 6*x**2 + 7*x - 8/3*x**3. Suppose s(a) = 0. Calculate a.
3/2
Let u(c) be the second derivative of 49*c**5/150 + 7*c**4/6 + 8*c**3/5 + 16*c**2/15 + 14*c. Factor u(g).
2*(g + 1)*(7*g + 4)**2/15
Suppose 3*r + 3 = -2*z, 33 = z - 4*z + 5*r. Let o be (4/z)/(2/(-18)). Find u such that -6*u - 2 - 2*u**2 + o*u**3 