) = -5*m**3 - 97*m**2 - 1091*m - 3993. Let y(t) = -2*k(t) + 3*r(t). Factor y(b).
-3*(b + 11)**3
Let d(f) be the third derivative of -f**10/45360 + f**9/7560 - f**8/3360 + f**7/3780 - f**4/8 - 2*f**2. Let b(n) be the second derivative of d(n). Factor b(g).
-2*g**2*(g - 1)**3/3
Let h(o) be the second derivative of 0 + o - 1/6*o**3 + 0*o**2 - 1/120*o**5 - 1/36*o**4 - 1/1080*o**6. Let x(u) be the second derivative of h(u). Factor x(q).
-(q + 1)*(q + 2)/3
Let q(r) = -r**2 - 6*r. Let v be -5*-5*6/(-25). Let x be q(v). Solve -a**3 + 0 + x*a + 1/2*a**2 + 1/2*a**4 = 0.
0, 1
Let m(l) = -l**2 - 9*l - 15. Let b be m(-4). Find g such that 0 - 2/5*g**b - 6/5*g**3 - 6/5*g**4 - 2/5*g**2 + 0*g = 0.
-1, 0
Let b = 73 + -49. Let m be 6/21 + b/14. Find w, given that 3*w**2 - 2*w**2 + 0*w**2 + 1 - m = 0.
-1, 1
Let l be ((-8)/(-14))/(2 + 0). Let a = 1/47 + 275/329. What is t in -l*t**4 + 0 - 6/7*t**3 - 2/7*t - a*t**2 = 0?
-1, 0
Let z(w) = -4*w**5 + w**4 - 4*w**3 - 19*w**2 + 11*w - 5. Let v(q) = -5*q**5 - 5*q**3 - 18*q**2 + 10*q - 6. Let k(g) = 5*v(g) - 6*z(g). What is o in k(o) = 0?
-4, 0, 1
Let a(c) be the first derivative of -1/3*c**3 + 0*c**2 + 1/1260*c**6 - 2 + 0*c + 1/42*c**4 + 1/140*c**5. Let u(w) be the third derivative of a(w). Factor u(g).
2*(g + 1)*(g + 2)/7
Let h(l) be the second derivative of -l**9/1890 - l**8/3360 + l**7/315 + l**6/360 + 5*l**4/12 - l. Let w(a) be the third derivative of h(a). Factor w(k).
-2*k*(k - 1)*(k + 1)*(4*k + 1)
Let z(l) be the first derivative of l**6/840 + l**5/70 + l**4/14 - l**3 - 1. Let r(m) be the third derivative of z(m). Suppose r(a) = 0. What is a?
-2
Suppose -4*j + 50 = 6*j. Let t(y) be the second derivative of -1/15*y**6 + 0*y**4 + 0*y**3 + 0*y**2 + 0 - 1/5*y**j - 4*y. Let t(w) = 0. What is w?
-2, 0
Let d(f) be the first derivative of f**6/40 - f**4/8 + 2*f**2 - 3. Let c(i) be the second derivative of d(i). Suppose c(q) = 0. Calculate q.
-1, 0, 1
Suppose -2*t = -q - 3*t + 6, -4*q + 3*t + 3 = 0. Solve 0*a + 2 + q*a - 4*a**2 - 1 = 0 for a.
-1/4, 1
Suppose 15 = -5*r, 5*q + 5*r = 2*q. Suppose 0 = q*i - 15. Find z, given that -2*z**2 + 1/2*z + 1 - 3/2*z**i = 0.
-1, 2/3
Factor -12*h**2 - h + 16*h**2 - 2*h**3 + h.
-2*h**2*(h - 2)
Let y = 12 + -8. Let p = y + -4. Let -z + p + 1/2*z**2 = 0. Calculate z.
0, 2
Suppose 2*u - 5*y - 39 = 0, -3*u - 2*y = -8*u + 66. Let d be 2 + -2*10/u. Factor -4/3*f**2 + d + f.
-(f - 1)*(4*f + 1)/3
Let y(g) be the second derivative of g**2 - 1/84*g**7 - g - 7/24*g**4 + 1/40*g**5 + 1/20*g**6 + 0*g**3 + 0. Find l such that y(l) = 0.
-1, 1, 2
Let a(i) be the second derivative of i**6/105 + i**5/35 + i**4/42 + 9*i. Let a(z) = 0. Calculate z.
-1, 0
Let t = -25 + 25. Let o(q) be the second derivative of 1/6*q**4 - q**2 + t*q**3 + q + 0. Find b, given that o(b) = 0.
-1, 1
Find s such that -1/4*s - 1/8*s**2 + 0 + 1/4*s**3 + 1/8*s**4 = 0.
-2, -1, 0, 1
Let c(z) be the first derivative of -z**6/12 - 2*z**5/5 - 5*z**4/8 - z**3/3 + 19. Let c(o) = 0. Calculate o.
-2, -1, 0
Let o(h) = h**3 - 3*h**2 + 2*h. Let t be o(2). Suppose t = -u + 2*u. Factor 0 + u + 1 - c**2.
-(c - 1)*(c + 1)
Let i be 1*(-5)/(15/(-9)). Factor 28*j**4 + 2 - 92*j**i + 9 - 76*j + 108*j**2 + 24*j - 3.
4*(j - 1)**3*(7*j - 2)
Let l(f) be the first derivative of 2*f**3/21 + f**2/7 + 17. Determine n, given that l(n) = 0.
-1, 0
Let i(s) = s**2 - 8*s - 9. Let j be i(9). Let p(x) be the third derivative of -x**2 + j*x**3 + 1/180*x**6 - 1/36*x**4 + 0*x**5 + 0*x + 0. What is n in p(n) = 0?
-1, 0, 1
Let d be (2/((-12)/(-21)))/(30/36). Solve 3*y**2 + 27/5*y**3 - 3*y**4 - d*y**5 - 6/5*y + 0 = 0.
-1, 0, 2/7, 1
Let l(x) be the second derivative of 0*x**2 + 0 - 3/20*x**5 - 4*x + 1/3*x**4 + 2/3*x**3 - 2/15*x**6 - 1/42*x**7. Solve l(i) = 0 for i.
-2, -1, 0, 1
Let l(c) be the first derivative of 8*c + 3*c**2 - 2/3*c**3 + 4. Factor l(d).
-2*(d - 4)*(d + 1)
Let s(r) be the third derivative of 1/18*r**5 + 0*r + 0 - 4*r**2 - 2/9*r**3 + 1/12*r**4. Factor s(l).
2*(l + 1)*(5*l - 2)/3
Let q be ((-15)/36)/((-45)/24). Find k, given that q*k**5 + 4/3*k**3 + 0 + 8/9*k**2 + 8/9*k**4 + 2/9*k = 0.
-1, 0
Let g(o) be the second derivative of -2*o - 1/15*o**3 - 1/30*o**4 + 0*o**2 + 0. Factor g(c).
-2*c*(c + 1)/5
Suppose -2*z + 0*z = 0. Let a be (-11)/(-14) - 4/14. Determine m so that -a*m**2 + 0 + z*m = 0.
0
Let t = -2 - 0. Let q = t + 6. Determine i, given that -q + 2*i**3 + 4 + 4*i**4 = 0.
-1/2, 0
Let n be (-2 + -2)*(-15)/20. Solve 0 - 2*j**2 - 4/3*j**n + 4/3*j + 2*j**4 = 0.
-1, 0, 2/3, 1
Factor -3*a**4 + 2*a + 0*a + 5 - 2 - 6*a**3 + 4*a.
-3*(a - 1)*(a + 1)**3
Let q = 27 + -12. Suppose -6 = -2*d - 2*w + 4, 2*d - 3*w + q = 0. Factor 2/5*v**2 + d + 0*v - 2/5*v**3.
-2*v**2*(v - 1)/5
Suppose s - 8 = -s. Factor -21*n + 5*n + 7*n**s - 3 - 19*n**3 - n**5 + 7 + 25*n**2.
-(n - 2)**2*(n - 1)**3
Let j(u) be the third derivative of -u**6/180 - u**5/60 + u**3/6 - 3*u**2. Let c(f) be the first derivative of j(f). Suppose c(v) = 0. What is v?
-1, 0
Let k(t) be the third derivative of 3/35*t**7 + 0 - 1/3*t**3 + 5/336*t**8 - 1/8*t**4 + 0*t + 2/15*t**5 + 4*t**2 + 11/60*t**6. Solve k(l) = 0.
-1, 2/5
Let w(g) = -g**3 + g**2 + g - 1. Let m(f) = f**2 - 7*f + 5. Let i be m(6). Let z(t) = 4*t**3 - t**2 - 7*t - 5. Let y(x) = i*z(x) - 3*w(x). Solve y(h) = 0 for h.
-2, 2
Factor -31*k**2 - 4*k**4 - 23*k**2 + 2*k**4 + 56*k**2.
-2*k**2*(k - 1)*(k + 1)
Let q(g) be the second derivative of -g**8/1008 - g**7/630 - g**2 - g. Let h(k) be the first derivative of q(k). Factor h(j).
-j**4*(j + 1)/3
Let q(l) = 7*l**3 - 83*l**2 + 105*l - 45. Let x(d) = 2*d**3 - 28*d**2 + 35*d - 15. Let y(h) = -3*q(h) + 8*x(h). Find f, given that y(f) = 0.
1, 3
Let m = 11/51 + 2/17. Let x(q) be the first derivative of 2 - 2/9*q**3 + m*q**2 + 0*q. Factor x(h).
-2*h*(h - 1)/3
Let c(q) be the third derivative of -q**5/60 - q**4/12 + q**3/2 - 11*q**2. Determine o so that c(o) = 0.
-3, 1
Let t(o) be the second derivative of 0 + 1/12*o**6 + 1/6*o**3 + 0*o**2 - 1/20*o**5 - 5/24*o**4 - 3*o. What is q in t(q) = 0?
-1, 0, 2/5, 1
Let w(y) be the third derivative of -y**8/1176 - 2*y**7/735 + y**5/105 + y**4/84 - 2*y**2. Let w(p) = 0. What is p?
-1, 0, 1
Suppose a = -3*a. Let p(r) be the second derivative of 0*r**3 + 2*r + 1/189*r**7 + 0*r**4 + a + 0*r**6 + 0*r**2 + 0*r**5. Solve p(h) = 0 for h.
0
Let i(o) be the third derivative of 0 + 0*o**3 + 1/240*o**6 - 1/168*o**8 - o**2 + 0*o**4 + 0*o + 0*o**5 - 1/140*o**7. Let i(w) = 0. What is w?
-1, 0, 1/4
Suppose 2*j - 5*j = 0. Factor j*g - g**2 - 4*g - 2*g**3 + 4*g - g**4.
-g**2*(g + 1)**2
Let v(g) be the first derivative of -1/18*g**3 + 2 + 1/3*g**2 - 1/36*g**4 + g. Let k(d) be the first derivative of v(d). Factor k(w).
-(w - 1)*(w + 2)/3
Let d(f) be the third derivative of f**9/3024 + f**8/2520 - f**7/2520 - 2*f**3/3 - 3*f**2. Let j(y) be the first derivative of d(y). Factor j(b).
b**3*(b + 1)*(3*b - 1)/3
Suppose -3*d + 0*d - 9 = 0, -d = -2*r + 11. Let k = 14/3 - r. Factor 0 + 0*w**2 + 2/3*w**3 - k*w**5 + 0*w**4 + 0*w.
-2*w**3*(w - 1)*(w + 1)/3
Let d(k) be the second derivative of -1/72*k**4 + 0*k**3 + 3*k + 1/120*k**5 + 0 + 0*k**2. Solve d(t) = 0 for t.
0, 1
Let i(u) be the first derivative of -3/7*u**2 + 4/7*u + 0*u**3 + 1 + 1/14*u**4. Factor i(z).
2*(z - 1)**2*(z + 2)/7
Let a be 2/7 - (-6)/(-21). Let d(i) be the second derivative of -1/42*i**7 + a*i**5 - 1/6*i**4 - 2*i + 0 + 1/6*i**3 + 1/15*i**6 + 0*i**2. Factor d(o).
-o*(o - 1)**3*(o + 1)
Let w(p) = -7*p**3 + p**2 + 2*p. Let i(z) = -z**3. Let d(f) = -30*i(f) + 5*w(f). Solve d(b) = 0.
-1, 0, 2
Let w = 305/2 + -151. Suppose -3/2*b**2 + w*b**4 + 0 - 9/2*b**3 + 3*b + 3/2*b**5 = 0. What is b?
-2, -1, 0, 1
Let j(y) be the first derivative of y**4/90 + 4*y**3/45 + 4*y**2/15 + 8*y + 3. Let i(h) be the first derivative of j(h). Determine u so that i(u) = 0.
-2
Let g = -1 + 3. Let x be 6/(-18) - 55/(-99). Factor 2/3*l - 4/9 + 0*l**g - x*l**3.
-2*(l - 1)**2*(l + 2)/9
Suppose 4*x = 7*x - 6. Suppose -3*l + 16 = -w, 13 = 2*l - w - 2*w. Determine v, given that -7/5*v**3 + 14/5*v**4 + 1/5*v**x + 0*v + 0 - 8/5*v**l = 0.
0, 1/4, 1/2, 1
Let w = 1251/10 - 125. Let a(c) be the second derivative of 0*c**2 + 0*c**3 - w*c**5 + 0 + 3*c - 1/6*c**4. Factor a(x).
-2*x**2*(x + 1)
Let o(u) be the second derivative of 1/60*u**6 + 1/20*u**5 - u - 1/6*u**3 + 0 - 1/4*u**2 + 