of -t**4 - 37*t**3/3 + 31*t**2/2 - 3*t + 4. Let l(r) = -r**3 - r**2 + r - 1. Let c(i) = 44*l(i) - 4*x(i). Factor c(p).
-4*(p - 2)**2*(7*p + 2)
Let n be (-189)/(-324)*(1 + (-10)/14). Let o(r) be the first derivative of 1/6*r - n*r**4 - 1/3*r**2 + 8 + 1/3*r**3 + 1/30*r**5. Solve o(v) = 0 for v.
1
Suppose 30*i + 0*i + 6*i**2 + i**2 - 4*i + 25 - 6*i**2 = 0. Calculate i.
-25, -1
Let x(i) = -12*i. Let y be x(-2). Let n be (3/2)/(12/y). Let 5 - 5*t**2 - 5 - n*t - 2*t = 0. Calculate t.
-1, 0
Let q(c) = 5*c**2 - 243*c - 13. Let o(j) = -j**2 + 61*j + 3. Let g(h) = -26*o(h) - 6*q(h). Find b, given that g(b) = 0.
-32, 0
Suppose 5*u = -5*z, -u + 5*u = 4*z + 32. Let d = 45 + -44. Let x(c) = 1. Let f(m) = m**3 - m**2 - m - 3. Let l(h) = d*f(h) + u*x(h). Factor l(v).
(v - 1)**2*(v + 1)
Let d = 121/369 - -2/369. Let l be (-40)/(-75) - 3/15. Factor -1/3*p**2 - 1/3*p + d*p**3 + 0 + l*p**4.
p*(p - 1)*(p + 1)**2/3
Let j(u) = -15*u**2 - 3170*u - 60790. Let y(d) = -2*d**2 - 396*d - 7599. Let p(m) = -3*j(m) + 25*y(m). Factor p(f).
-5*(f + 39)**2
Let l(u) be the first derivative of 0*u + 5/3*u**3 - 23 + 5*u**2. Let l(c) = 0. Calculate c.
-2, 0
Let m be (-2)/(-4)*(-176)/(-22). Let y(b) be the first derivative of 2/3*b**3 + m*b - 3*b**2 - 4. Let y(w) = 0. What is w?
1, 2
Let k(l) be the third derivative of l**8/84 + 62*l**7/105 + l**6 - 38*l**2 - 1. Factor k(j).
4*j**3*(j + 1)*(j + 30)
Let s(b) = -b**3 + 11*b**2 - 10*b + 2. Suppose -4 - 6 = -r. Let g be s(r). Solve -u**g + 4*u + 3*u**2 + 2*u**2 = 0.
-1, 0
Let h(d) be the first derivative of d**4/2 - 20*d**3/3 + 9*d**2 - 44. Factor h(i).
2*i*(i - 9)*(i - 1)
Let z(u) be the second derivative of 3*u**5/20 - u**4 + 3*u**3/2 + 53*u + 5. Solve z(o) = 0.
0, 1, 3
Let q(o) be the second derivative of o**8/3360 - o**7/1680 - o**6/720 + o**5/240 + 13*o**3/6 + 5*o. Let n(t) be the second derivative of q(t). Factor n(g).
g*(g - 1)**2*(g + 1)/2
Determine p so that -4353*p**2 + 287*p - 4*p**4 + 492 + 130*p**3 - 4588 + 8033*p + 3*p**4 = 0.
1, 64
Suppose 2*r + 11 = 5*o, -12*r + 16*r + 1 = 3*o. Let p(f) be the first derivative of r*f**2 + 0*f + 5/4*f**4 + 12 - 1/5*f**5 - 8/3*f**3. Factor p(j).
-j*(j - 2)**2*(j - 1)
Let o(c) be the second derivative of 0 + 1/5*c**3 + 0*c**5 + 3/20*c**4 + 0*c**2 - 1/50*c**6 - 6*c. What is s in o(s) = 0?
-1, 0, 2
Let d = -1389 - -458371/330. Let v(u) be the third derivative of d*u**5 - 4*u**2 + 1/330*u**6 + 0*u**4 + 0*u**3 + 0 + 0*u. Factor v(p).
2*p**2*(2*p + 1)/11
Let u(b) = 85*b**4 - 60*b**3 + 5*b**2 + 3*b. Let l(d) = -86*d**4 + 60*d**3 - 6*d**2 - 2*d. Let r(z) = 3*l(z) + 2*u(z). Factor r(g).
-4*g**2*(2*g - 1)*(11*g - 2)
Factor -5/3*o**2 + 68/3*o + 35/3 - 2/3*o**3.
-(o - 5)*(o + 7)*(2*o + 1)/3
Suppose -7 = -5*h - 2*j, -167*h - 14 = -165*h + 5*j. Suppose 1/5*c**2 - c + 1/5*c**h + 3/5 = 0. Calculate c.
-3, 1
Let i(m) be the third derivative of m**7/35 + 3*m**6/40 - m**4/8 + 42*m**2. Factor i(n).
3*n*(n + 1)**2*(2*n - 1)
Let p(k) be the second derivative of -k**4/108 + k**3/6 - 7*k**2/9 - 57*k. Factor p(y).
-(y - 7)*(y - 2)/9
Let q(c) = -6*c**2 - 4*c + 1. Let r(t) = -7*t**2 - 4*t. Let k(p) = -6*q(p) + 5*r(p). Let l be k(-7). Factor 8 - 2*j**2 - 18*j**2 + 10*j - l*j + 17*j.
-4*(j - 1)*(5*j + 2)
Let v = 25924 - 25920. Factor 26/7*x**2 - 36/7 + 2*x**3 - 6/7*x + 2/7*x**v.
2*(x - 1)*(x + 2)*(x + 3)**2/7
Let t(v) = -7*v**2 - 5*v + 7. Let j(p) = p**2 + p - 1. Let c(y) = 5*j(y) + t(y). Factor c(h).
-2*(h - 1)*(h + 1)
Let b(z) be the first derivative of -z**5/20 + z**3/2 - 35*z**2/2 - 36. Let m(h) be the second derivative of b(h). Factor m(y).
-3*(y - 1)*(y + 1)
Let q(u) = 9*u**2 - 48*u - 12. Let a(c) = -26*c**2 + 146*c + 34. Let j(i) = 6*a(i) + 17*q(i). Factor j(w).
-3*w*(w - 20)
Let i(g) = -2*g**5 + 10*g**4 + 22*g**3 - 56*g**2 - 74*g - 32. Let c(q) = 2*q**3 - q**2 + q. Let a(p) = 6*c(p) - i(p). Suppose a(m) = 0. What is m?
-1, 4
Determine a, given that 0 + 82/19*a**2 + 4/19*a = 0.
-2/41, 0
Suppose 47*l - 3 = 48*l. Let d(u) = 6*u**2 - 18*u - 3. Let v(h) = 7*h**2 - 17*h - 4. Let w(c) = l*v(c) + 2*d(c). Suppose w(y) = 0. Calculate y.
-1/3, 2
Suppose 2*q + 2*f = 7*q - 251, 3*q - 5*f = 143. Let v = q - 51. Determine x, given that -1/3*x**2 + v*x + 1/3 = 0.
-1, 1
Find i such that 0 - 7/2*i + 7/2*i**3 + 1/2*i**2 - 1/2*i**4 = 0.
-1, 0, 1, 7
Find w, given that 47 + 49*w**5 + 232*w**2 + 168*w**3 - 26*w**5 + 148*w - 11 + 52*w**4 - 19*w**5 = 0.
-9, -1
Let j(m) = -1306*m - 3916. Let z be j(-3). Factor -1/5*r + 1/5*r**3 + 2/5*r**z - 2/5.
(r - 1)*(r + 1)*(r + 2)/5
Factor -3/2*c - 17/6*c**2 - c**3 + 1/3.
-(c + 1)*(c + 2)*(6*c - 1)/6
Let l(w) be the first derivative of -25*w**4/18 + 20*w**3/9 - 4*w**2/3 - 16*w + 19. Let b(f) be the first derivative of l(f). Factor b(v).
-2*(5*v - 2)**2/3
Let c(s) = -7*s**3 - 13*s**2 - 13*s + 3. Let v(f) = -13*f**3 - 27*f**2 - 27*f + 5. Let m(d) = -5*c(d) + 3*v(d). Factor m(l).
-4*l*(l + 2)**2
Let m(z) = z**3 + 10*z**2 - 11*z - 10. Let l(i) = i**3 + 11*i**2 - 12*i - 12. Let t(v) = 5*l(v) - 6*m(v). Factor t(b).
-b*(b - 1)*(b + 6)
Let d(s) = -8*s**2 - 15*s + 9. Let a(l) = -7*l**2 - 13*l + 8. Let r(f) = -7*a(f) + 6*d(f). What is p in r(p) = 0?
-2, 1
Let b(z) be the second derivative of -z**5/100 + z**4/20 - z**3/10 + 3*z**2 + 21*z. Let m(j) be the first derivative of b(j). Factor m(r).
-3*(r - 1)**2/5
Let h = -183/470 + -1/94. Let j = 8/5 + h. Suppose 3/5*y + j*y**2 + 0 = 0. What is y?
-1/2, 0
Factor -5/6*i - 2/3 - 1/6*i**2.
-(i + 1)*(i + 4)/6
Let a(s) be the first derivative of -2*s**3/27 - 5*s**2/3 - 28*s/9 - 71. Factor a(x).
-2*(x + 1)*(x + 14)/9
Let u be 2/10 + 483/1035. Solve -1/3*t - 1/3*t**3 + 0 - u*t**2 = 0.
-1, 0
Factor -34/7*m + 0 + 2/7*m**3 + 32/7*m**2.
2*m*(m - 1)*(m + 17)/7
Let o(u) be the second derivative of -1/48*u**4 + 0 - 1/24*u**3 + 1/2*u**2 + 5*u - 1/240*u**5. Let d(g) be the first derivative of o(g). Factor d(l).
-(l + 1)**2/4
Let a be -2 + (-7)/((-21)/(-6)). Let x be (-774)/(-63) + a/14. Let 7*s**5 + 36*s**2 - 36*s**4 + 24*s**5 - 15*s**3 - 4*s**5 - x*s = 0. What is s?
-1, 0, 2/3, 1
Suppose -6*g + 2*g = 2*s - 32, 3*s - 2*g + 8 = 0. Factor 0 - 1/2*n**3 + 0*n + 1/2*n**s.
-n**2*(n - 1)/2
Let w(c) = -6*c**2 - 6*c - 8. Let t(u) = -2*u**2 + u + 1. Let y(f) = -4*t(f) + w(f). What is b in y(b) = 0?
-1, 6
Let l(h) be the third derivative of -h**5/300 + 49*h**4/120 - 289*h**2. Factor l(m).
-m*(m - 49)/5
Let s(m) be the third derivative of 0 + 0*m**4 + 0*m + 1/21*m**3 - 1/210*m**5 + 13*m**2. Factor s(d).
-2*(d - 1)*(d + 1)/7
Let j(p) be the third derivative of 1/4*p**5 + 3/4*p**4 + 0*p - 1/14*p**7 - 1/8*p**6 + 0 + 16*p**2 + 0*p**3 - 1/112*p**8. Let j(z) = 0. What is z?
-3, -2, -1, 0, 1
Let g be (-44)/6 - (-4)/12. Let t(o) = -o - 4. Let i be t(g). Determine d, given that -27 - 19*d**3 - 3*d**4 - 23 - 72*d**2 + 2 - 96*d - 5*d**i = 0.
-2
Suppose 293 = -131*u + 686. Let -2/11*f**u - 6/11*f + 18/11 - 10/11*f**2 = 0. What is f?
-3, 1
Let m(q) be the first derivative of -q**4/16 - 9*q**3/4 - 243*q**2/8 + 10*q + 20. Let h(n) be the first derivative of m(n). Determine a so that h(a) = 0.
-9
Let f(y) be the third derivative of y**8/84 - 2*y**7/21 - y**6/30 + y**5/3 - 2*y**2 - 4. Determine b so that f(b) = 0.
-1, 0, 1, 5
Suppose 9 = -v + 6. Let o be (-5)/(15/(-6)) - v. Factor 5*k + 18 - o*k - k + 2*k**2 - 11*k.
2*(k - 3)**2
Let p = 4216/3 + -1404. Let w(c) be the first derivative of 100*c + 1 - 20*c**2 + p*c**3. Let w(d) = 0. What is d?
5
Let g(x) be the third derivative of x**5/150 - 5*x**4/6 + 125*x**3/3 - 25*x**2 + 2. Factor g(k).
2*(k - 25)**2/5
Let p(y) be the first derivative of -y**7/70 + y**5/10 - y**3/2 - 5*y**2 - 8. Let l(w) be the second derivative of p(w). Factor l(g).
-3*(g - 1)**2*(g + 1)**2
Suppose -8/5*y**3 + 2/5*y**4 - 14/5*y**2 + 0 + 4*y = 0. What is y?
-2, 0, 1, 5
Let z = 62 + 13. Suppose -2*k - 3*k = -z. Factor k*r**4 - 2*r**3 - r**3 - 12*r**4.
3*r**3*(r - 1)
Let k = -629/15 - -42. Let r(z) be the second derivative of -4*z + 1/15*z**4 - 1/50*z**5 - 2/5*z**2 + k*z**3 + 0. Determine o, given that r(o) = 0.
-1, 1, 2
Let k(d) = d**2 + 8*d - 13. Let z be k(-9). Let j be -4 - (-12 - z)/2. Factor 27*u + 2*u**3 - 29*u + j*u**3.
2*u*(u - 1)*(u + 1)
Let q be (1/4)/(3/24). Suppose 11*k - 55 + 73 + 4*k + 3*k**q = 0. What is k?
-3, -2
Let r(p) be the third derivative of p**5/140 + 3*p**4/14