 y so that 1/6 + 0*y**3 - 1/3*y**2 + 1/6*y**t + 0*y = 0.
-1, 1
Let o(m) = -m**2 + 5*m - 3. Let l be o(4). Let q be 2 + (0 - 1) + l. Factor 0*b - 16*b + 7*b**3 + 32 - 8*b**q - 3*b**3.
4*(b - 2)**2*(b + 2)
Let q(i) be the second derivative of i**6/345 - 4*i**5/115 + 11*i**4/69 - 8*i**3/23 + 9*i**2/23 - 86*i. Factor q(m).
2*(m - 3)**2*(m - 1)**2/23
Let d be (21/(-6) - 0)*(-40)/14. Factor 140*o - o**2 - 3*o**3 + d*o**2 + 3 - 149*o.
-3*(o - 1)**3
Find x, given that -133/4*x**4 + 0 - 19*x**3 + 4*x + 7*x**2 - 45/4*x**5 = 0.
-2, -1, -2/5, 0, 4/9
Let n(t) be the third derivative of 7*t**5/60 + 8*t**4/3 + 3*t**3/2 - 80*t**2 + 6*t. Factor n(q).
(q + 9)*(7*q + 1)
Let z(p) = -8*p**2 + 26*p + 28. Let w(t) = -15*t**2 + 50*t + 55. Let u(s) = 3*w(s) - 5*z(s). Solve u(r) = 0.
-1, 5
Let o(h) = -2*h**4 - 36*h**3 + 37*h**2 + 36*h - 29. Let s(m) = 2*m**4 + 36*m**3 - 38*m**2 - 36*m + 32. Let z(d) = 2*o(d) + 3*s(d). Solve z(c) = 0 for c.
-19, -1, 1
Let j(u) be the second derivative of -u**4/66 + 56*u**3/33 + 57*u**2/11 - 173*u. Suppose j(c) = 0. What is c?
-1, 57
Let y = -124 + 126. Suppose 5*z + 5*m = 20, z - y*z = -5*m + 20. Factor -6/7*i + 3*i**2 + z.
3*i*(7*i - 2)/7
Let j(r) = -r**3 - r - 1. Let y(z) = 2*z**5 + 36*z**4 + 194*z**3 + 256*z**2 + 2*z + 2. Let u(c) = -4*j(c) - 2*y(c). What is k in u(k) = 0?
-8, -2, 0
Let m be (-8 - -3) + 6/3. Let r be -7 - -7 - (m - 21/(-9)). Solve 0 - r*h**3 - 2/3*h**2 + 0*h = 0.
-1, 0
Let f = 225 - 240. Let h be 4*(4/10)/((-12)/f). Find g, given that 0 + 0*g - 2/3*g**h - 2/3*g**4 + 4/3*g**3 = 0.
0, 1
Let o = -40 + 46. Factor 4 + 1 - 5*n**3 + n + 4*n**3 - o + n**2.
-(n - 1)**2*(n + 1)
Let r(h) be the third derivative of h**5/120 - 5*h**4/12 + 25*h**3/3 - 5*h**2 - 8. Find z such that r(z) = 0.
10
Determine f, given that -4/7*f**2 - 2704/7 + 208/7*f = 0.
26
Let p(w) = -w**3 - 6*w**2 - 3*w + 7. Let v be p(-6). Suppose -7*c + 2*c = -v. Factor a**4 - 13*a**c + 2*a**4 + 12*a**5 - 4*a**2 + 0*a**4.
-a**2*(a - 2)**2*(a + 1)
Let d be (-4*(-1)/4)/(4/8). Let y = 6 + -4. Find w such that 3 - w**d - 2 + y - 2*w = 0.
-3, 1
Let o be 13/9 - (11 - (16 + -6)). Suppose 0 - o*i + 10/9*i**3 + 2/3*i**2 = 0. Calculate i.
-1, 0, 2/5
Let g(t) = -t**3 - 23*t**2 + 23*t - 24. Let a be (-792)/32 + 6/8. Let y be g(a). Let -1/6*c**5 + 0 + 0*c + y*c**2 + 0*c**3 + 1/6*c**4 = 0. Calculate c.
0, 1
Let s(z) = -z**3 - 2*z**2 + 7*z + 2 - 2*z**3 - 6*z + 0*z**3. Let c(h) = 7*h**3 + 5*h**2 - 2*h - 5. Let t(n) = -2*c(n) - 5*s(n). Factor t(f).
f*(f - 1)*(f + 1)
Let o be 4 + -1 - (-2 + 1). Let i be 78/(-54) + (-2 - -3) + o. Factor i*r**3 + 80/9*r**2 + 34/9*r + 4/9.
2*(r + 2)*(4*r + 1)**2/9
Let b(y) = 2*y**2 - 17*y - 40. Let q be b(-2). Let f(a) be the first derivative of 1/4*a**3 + 1/16*a**4 + 1/4*a**q - 7 + 0*a. Factor f(l).
l*(l + 1)*(l + 2)/4
Let n = 9/19 + -59/285. Let d be (-2)/(-15)*10*(-3)/(-2). Let 2/5*f - n - 2/15*f**d = 0. What is f?
1, 2
Let v be 24/10 - (-24)/40. Suppose -b - v = -2*m, 0 = -0*m + 4*m - 4*b - 4. Factor 3*i**m - 1 + i - i - 2.
3*(i - 1)*(i + 1)
Let g be (1586/(-24))/(-13) + 5/(-1). Let y(k) be the third derivative of -1/240*k**5 - 1/96*k**4 + 5*k**2 + 0*k + 0 + g*k**3. What is u in y(u) = 0?
-2, 1
Let c be 7 + -8 + 7*(-40)/(-112). Determine t, given that -3*t + 3/2 + c*t**2 = 0.
1
Let z(h) be the third derivative of h**5/40 + h**4/2 + 3*h**3 - h**2 - 22. Solve z(n) = 0.
-6, -2
Let i(h) be the third derivative of h**5/20 + 13*h**4/40 + h**2. Factor i(d).
3*d*(5*d + 13)/5
Let i be 4 + (0 - -3) + -3. Suppose k - 3*k = -i. What is l in -4/3*l + 1/3*l**k + 4/3 = 0?
2
Suppose -66 - 39 = -7*s. Factor 8*x - 2 + 6*x + 4*x**2 - 2 + x**3 - s*x.
(x - 1)*(x + 1)*(x + 4)
Let u(c) be the third derivative of -c**6/1080 - c**5/120 - 7*c**3/2 + 13*c**2. Let s(k) be the first derivative of u(k). Suppose s(w) = 0. Calculate w.
-3, 0
Let i = -243 - -225. Let f be 4/i*(-4 - 5/(-2)). Find c, given that -1/3 + 1/3*c**2 - 1/3*c + f*c**3 = 0.
-1, 1
Let v = 5/962 + 1433/1924. Factor -v*p**3 + p - 1/4*p**4 + 0*p**2 + 0.
-p*(p - 1)*(p + 2)**2/4
Let v(c) be the second derivative of 0*c**2 + 0 - 35/12*c**4 - 30*c - 20/3*c**3 + 1/4*c**5. Factor v(x).
5*x*(x - 8)*(x + 1)
Let y be ((-1)/(-2))/(4/32). Let b be ((-15)/(-10))/(y + -1). Factor 5/2*c**3 + 4*c**2 - 1 + b*c.
(c + 1)**2*(5*c - 2)/2
Let j(l) be the first derivative of -5/8*l**4 + 0*l**2 + 0*l - 12 + 5/6*l**3. Let j(o) = 0. What is o?
0, 1
Factor -5*h**2 + 5/6*h**3 + 0*h + 80/3.
5*(h - 4)**2*(h + 2)/6
Let m(c) be the second derivative of c**4/36 - 16*c**3/3 + 384*c**2 + 65*c. Solve m(i) = 0 for i.
48
Determine s, given that -45 - 6262*s + 12*s**3 - 30 + 6034*s + 291*s**2 = 0.
-25, -1/4, 1
Let i(w) be the first derivative of -w**3/3 + 9*w**2 - 56*w + 495. Factor i(z).
-(z - 14)*(z - 4)
Let s(z) be the second derivative of z**7/168 - z**6/30 - z**5/40 + z**4/6 + z**3/24 - z**2/2 + 82*z. Determine k so that s(k) = 0.
-1, 1, 4
Find y, given that -26/7*y**3 + 4/7*y**4 + 0 + 2/7*y**5 + 0*y + 20/7*y**2 = 0.
-5, 0, 1, 2
Let a = -20399/40 - -510. Let t(h) be the second derivative of 6*h + a*h**5 - 1/168*h**7 - 1/24*h**3 + 0 + 0*h**2 + 0*h**6 + 0*h**4. What is n in t(n) = 0?
-1, 0, 1
Let m = 8352 - 8352. Factor -8/11*s - 2/11*s**4 + 0*s**2 + 6/11*s**3 + m.
-2*s*(s - 2)**2*(s + 1)/11
Let u = -1717 - -1717. Suppose 0*o + u + 0*o**2 + 1/4*o**4 + 1/4*o**3 = 0. Calculate o.
-1, 0
Let u(y) be the first derivative of -y**6/80 + 3*y**5/160 + y**4/16 - 5*y + 3. Let r(p) be the first derivative of u(p). Solve r(h) = 0.
-1, 0, 2
Let l = 37 - 29. Factor -18 - 13*a**2 + l*a + 11*a**2 + 4*a.
-2*(a - 3)**2
Let s(m) be the first derivative of -m**5/80 - m**4/48 + m**3/24 + m**2/8 - 12*m + 3. Let r(n) be the first derivative of s(n). Find w such that r(w) = 0.
-1, 1
Let z(t) = 2*t**2 - 5*t - 2*t - 477 - 4*t**2 + 492. Let m be z(-5). Factor 0*v**3 - 3/7*v**2 + m*v + 0 + 3/7*v**4.
3*v**2*(v - 1)*(v + 1)/7
Factor -2*b**2 + 2 + 0 + 0*b**2 + 1 - 1.
-2*(b - 1)*(b + 1)
Let a(t) be the second derivative of 5*t**4/48 - 19*t**3/12 - 2*t**2 + 2*t - 17. Let a(l) = 0. Calculate l.
-2/5, 8
Factor -1/5*m**3 - 4/5*m**2 + 4/5 + 1/5*m.
-(m - 1)*(m + 1)*(m + 4)/5
Factor -6/23*x**2 + 14/23*x**3 + 2/23*x**5 - 10/23*x**4 + 0*x + 0.
2*x**2*(x - 3)*(x - 1)**2/23
Let s(u) be the first derivative of 0*u**4 + 1/2*u**2 + 0*u - 1 + 1/90*u**5 - 4/9*u**3. Let m(h) be the second derivative of s(h). Factor m(k).
2*(k - 2)*(k + 2)/3
Let b(n) be the second derivative of 3*n + 0*n**2 - 9/4*n**4 + n**3 + 21/20*n**5 + 0. Suppose b(f) = 0. What is f?
0, 2/7, 1
Let j(f) = -35*f + 1684. Let n be j(48). Factor 1/5*t**n + 9/5*t**2 - 7/5*t + 2/5 - t**3.
(t - 2)*(t - 1)**3/5
Let w be -2 - ((-4)/(-4) + 20) - 0. Let u be w - -17 - 13/(-2). Suppose 0*k + u*k**2 - 1/2 = 0. What is k?
-1, 1
Let j(x) be the third derivative of -x**8/168 + 2*x**7/35 + 4*x**6/15 + 21*x**2 - 4. Factor j(n).
-2*n**3*(n - 8)*(n + 2)
Let t(l) = 4*l + 3*l**2 - l**3 - 3*l - 2*l**2 + 1 - 2. Let g(v) = 8*v**3 - 6*v**2 - 2. Let y(w) = -g(w) - 10*t(w). Solve y(j) = 0 for j.
-2, 1, 3
Let m(j) = -4*j**4 + 2*j**3 + 6*j**2 + 6*j - 6. Let n be (172/(-60) - -3) + 184/(-30). Let t(p) = -p**3 - p**2 + p - 1. Let o(c) = n*t(c) + m(c). Factor o(g).
-4*g**2*(g - 3)*(g + 1)
Let d(c) = -c**2 - 9*c - 4. Let m be d(-6). Let k be (4/m)/(4/7). Find f such that -k*f**3 + 0 + f**2 + 0*f = 0.
0, 2
Suppose 2*q - 5*f = -3*q + 15, 3*f = 0. Determine g so that 11*g**2 - 50*g**q + 47*g**3 - 3*g**4 - 26*g + 2*g + 19*g**2 = 0.
-4, 0, 1, 2
Let a be (-323)/(-570) - (-2)/20. Suppose -14*n = -17*n + 6. Factor -2/3*q + a*q**n + 0.
2*q*(q - 1)/3
Determine r so that -784 + 1431*r - 2934*r - r**2 + 1447*r = 0.
-28
Let z(f) = -4*f**2 + f + 5. Let g(y) = -5*y**2 + 2*y + 7. Let j(h) = -3*g(h) + 4*z(h). Find x, given that j(x) = 0.
-1
Let q(n) be the third derivative of -n**7/14 - n**6/12 + 13*n**5/12 + 5*n**4/3 - 10*n**3/3 + 189*n**2. Find s such that q(s) = 0.
-2, -1, 1/3, 2
Let q(w) = 4*w - 40. Let u be q(9). Let k be 1/u - (-75)/140. Find n, given that 16/7*n - 32/7*n**2 - k = 0.
1/4
Let k be (3 - -18) + 2665/(-130). What is s in k + 5/4*s + 1/4*s**3 + s**2 = 0?
-2, -1
Let r(i) be the third derivative of -i**6/50 + 3*i**5/20 - 3*i**4/10 - 2*i**3/5 - 51*i**2 - 2*i. Solve r(q) = 0 for q.
-1/4, 2
Suppose -s - b = -4*b - 31, -3*b = -4*s + 115. Suppose -s*r + 16*r + 