)/(-2))/((-5)/(-20)). Factor -16/5 + w*g + 4/5*g**k.
4*(g - 1)*(g + 4)/5
Factor -15/4*p**2 + 63/4*p + 1/4*p**3 - 49/4.
(p - 7)**2*(p - 1)/4
Factor 62/9*w + 20/3 + 2/9*w**2.
2*(w + 1)*(w + 30)/9
Let p(h) be the second derivative of -17*h + 1/40*h**5 + 0*h**3 + 0*h**2 + 0 + 0*h**4. Determine t so that p(t) = 0.
0
Factor -6*a**3 - 3/4*a**4 + 0*a - 21/4*a**2 + 0.
-3*a**2*(a + 1)*(a + 7)/4
Let h be (33/(-6))/11*(-4 + 0). Suppose h*i - 4*i + 2 = -4*k, -k + 3*i = 13. Factor -2/5*q**k + 6/5*q - 4/5.
-2*(q - 2)*(q - 1)/5
Factor 0 - 48/7*g + 2/7*g**2.
2*g*(g - 24)/7
Suppose 181 - 481 + 120*r**3 + 3*r**4 - 180*r**3 - 588*r - 351*r**2 = 0. What is r?
-2, -1, 25
Let l be 6*-6*2/(-24). Let o(n) be the second derivative of 1/30*n**4 + 1/15*n**l + 0*n**2 + 0 + n. Factor o(a).
2*a*(a + 1)/5
Let p(n) = 3*n - 9. Let i be p(3). Solve g**4 + g**2 + g - 4*g**3 + 5*g + i*g = 0 for g.
-1, 0, 2, 3
Let 294*c + 76*c**2 + 20*c**3 + 26*c - 2*c**3 + 12 + 92 + 182*c**2 = 0. Calculate c.
-13, -2/3
Suppose 10*g - 4 - 16 = 0. Suppose 6 + 2*m**3 + 9 - m**4 + 3*m**g - 15 = 0. Calculate m.
-1, 0, 3
Suppose 109/2*x**2 + 2*x**5 + 46*x**3 + 27*x + 4 + 33/2*x**4 = 0. What is x?
-4, -2, -1, -1/4
Factor -32 + 18*l - 40 - 24*l**2 - 3*l**3 + 9*l + 72.
-3*l*(l - 1)*(l + 9)
Let t(j) be the second derivative of 0*j**2 + 0*j**3 + 1/63*j**7 - 10*j - 1/18*j**4 + 1/45*j**6 + 0 - 1/30*j**5. Factor t(b).
2*b**2*(b - 1)*(b + 1)**2/3
Let l be -6 + -2 - 6*4/6. Let m be (2/44)/((-3)/l). Factor -4/11*z + 2/11*z**2 + m.
2*(z - 1)**2/11
Let p = 1450/43 + -5757/172. Find w such that -2*w + 7/4 + p*w**2 = 0.
1, 7
Let u(y) = y**3 - 2*y**2 + 2*y. Let n be u(0). Let b(k) be the second derivative of 2*k + n - 27/8*k**2 - 1/16*k**4 - 3/4*k**3. Factor b(q).
-3*(q + 3)**2/4
Let q = -8611 + 43071/5. Factor q*d**2 - 16/5*d**3 + 0 - 4/5*d.
-4*d*(2*d - 1)**2/5
Let l = -54 - -52. Let y be (57/(-30) - l)/(2/15). Factor 3/4*n - 3/4*n**2 + 3/4*n**4 + 0 - y*n**3.
3*n*(n - 1)**2*(n + 1)/4
Let x(n) = -5*n + 30. Let s be x(5). Find d, given that 8*d**4 + 5*d**2 + 455*d**3 + 7*d**4 - 440*d**3 + 5*d**s = 0.
-1, 0
Let k = -24 + 24. Let a(o) be the second derivative of -3*o - 1/90*o**6 + 1/18*o**4 + k*o**3 + 0*o**5 - 1/6*o**2 + 0. Solve a(z) = 0.
-1, 1
Suppose -43 = -16*h + 21. Let c(p) be the third derivative of 1/52*p**h + 1/780*p**6 + 0 - 2/195*p**5 + 0*p + 0*p**3 + 4*p**2. Factor c(s).
2*s*(s - 3)*(s - 1)/13
Let x(n) be the third derivative of -1/15*n**5 + 0*n + 0*n**3 + 0 + 13*n**2 - 1/2*n**4. Factor x(v).
-4*v*(v + 3)
Let y(a) be the first derivative of -3/2*a**3 - 8 - 9/4*a**2 - 3/8*a**4 - 3/2*a. Suppose y(l) = 0. Calculate l.
-1
Suppose 8*f = 6*f - 17*f. Factor f*k**2 - 1/4*k**3 + 0 + k.
-k*(k - 2)*(k + 2)/4
Suppose -2*z + 6*z = 12. Factor -5*y + 4*y**2 + 3*y + 2*y**z - 4*y**3.
-2*y*(y - 1)**2
Factor 4/5*r**3 - 28/5*r**2 - 68/5*r - 36/5.
4*(r - 9)*(r + 1)**2/5
Suppose -o = -0 - 8. Suppose -c - o = -5*c. Factor 0*v**2 - 2*v**3 + v**4 - 14*v**c + 4*v + 13*v**4 - 2*v**3.
2*v*(v - 1)*(v + 1)*(7*v - 2)
Let i(t) = -t**2 + 6*t - 6. Let r be i(4). Let f(o) be the third derivative of 1/60*o**6 + 0*o**4 + 0 + 1/30*o**5 + 0*o**3 + 5*o**r + 0*o. Factor f(n).
2*n**2*(n + 1)
Let j(f) be the second derivative of -f**6/195 + 3*f**5/130 - f**4/26 + f**3/39 - 15*f. Factor j(r).
-2*r*(r - 1)**3/13
Factor -23*i**2 + 15/2*i**3 - 48*i - 1/2*i**4 + 64.
-(i - 8)**2*(i - 1)*(i + 2)/2
Let v(w) be the third derivative of w**5/135 + 5*w**4/27 - 19*w**2 - 4*w. What is p in v(p) = 0?
-10, 0
Let w(g) be the second derivative of -g**7/336 - g**6/60 + g**5/32 - 61*g. What is m in w(m) = 0?
-5, 0, 1
Let 15*s**3 - 3*s**3 + 51*s**2 - 12*s + 4 - 101*s**2 + 46*s**2 = 0. Calculate s.
-1, 1/3, 1
Determine u so that 3413*u - 1736*u**2 - 564 - 2028 - 4*u**4 + 156*u**3 + 763*u = 0.
1, 2, 18
Let z(r) = -r**3 + 7*r**2 + 9*r - 8. Let v be 11 + ((-1)/3 - 48/18). Let u be z(v). Find m such that 0*m - 2/9*m**3 + 4/9*m**2 + u = 0.
0, 2
Let l(z) = 23*z**3 - 3*z**2 - 20*z - 6. Let a(h) = -h**3 + h**2 - 2*h - 1. Let u(c) = -6*a(c) + 3*l(c). What is b in u(b) = 0?
-2/5, 1
Let m(n) be the second derivative of 3*n**5/20 - 3*n**4/4 + n**3 + 17*n. Factor m(u).
3*u*(u - 2)*(u - 1)
Let b(g) = -15*g**3 + 6*g**2 + 19*g - 6. Let l(j) = 15*j**3 - 7*j**2 - 18*j + 7. Let n(a) = -3*b(a) - 4*l(a). Let n(f) = 0. What is f?
-1, 2/3, 1
Let q(c) be the first derivative of -c**3/7 - 9*c**2/7 - 64. Find k such that q(k) = 0.
-6, 0
Factor 2/17*t + 22/17*t**2 - 22/17 - 2/17*t**3.
-2*(t - 11)*(t - 1)*(t + 1)/17
Let c(u) be the second derivative of u**8/2240 - u**7/420 + u**6/240 + 13*u**4/12 - 6*u. Let a(l) be the third derivative of c(l). Factor a(d).
3*d*(d - 1)**2
Let k(p) = 4*p**3 - 100*p**2 + 191*p - 95. Let g(t) = 4*t**3 - 100*t**2 + 192*t - 96. Let r(s) = 3*g(s) - 4*k(s). Determine w, given that r(w) = 0.
1, 23
Let y = -57 + 60. Let w(l) be the third derivative of 0 + 0*l + 0*l**4 - 1/30*l**5 + 0*l**y - 4*l**2. Factor w(j).
-2*j**2
Let k(w) be the second derivative of w**5/50 - w**4/10 + 2*w**3/15 - 245*w. Factor k(t).
2*t*(t - 2)*(t - 1)/5
Factor 0*p**2 - 7*p**2 + 13*p - 5*p**2 + 2*p - 3*p**3.
-3*p*(p - 1)*(p + 5)
Let b(q) be the first derivative of q**4/2 - 2*q**3/3 - 4*q**2 + 8*q + 14. Factor b(h).
2*(h - 2)*(h - 1)*(h + 2)
Let b be (-90)/(-135)*(-2)/(4/(-9)). Suppose b*y + 3 = -5*l - 9, -3*y = -l + 12. Factor l - 2/5*v - 2/5*v**2.
-2*v*(v + 1)/5
Let h be (-7330)/24*16/(-3240). Let w = h + -2/243. Factor 7/6*s**2 + w*s + 1/3.
(s + 1)*(7*s + 2)/6
Let u(m) be the third derivative of m**6/60 - 4*m**5/5 + 39*m**4/4 + 338*m**3/3 + 58*m**2. Find z such that u(z) = 0.
-2, 13
Let o(d) be the first derivative of -1/2*d**3 - 22 + d**2 - 1/8*d**4 + 0*d. Factor o(m).
-m*(m - 1)*(m + 4)/2
Let z(s) be the second derivative of 2/21*s**7 - 38/3*s**4 + 5*s**5 - 5*s - 16/15*s**6 + 56/3*s**3 + 0 - 16*s**2. Factor z(l).
4*(l - 2)**3*(l - 1)**2
Let d(s) be the first derivative of s**7/5040 - s**6/2160 + 22*s**3/3 + 9. Let f(j) be the third derivative of d(j). Determine r, given that f(r) = 0.
0, 1
Let r = -157 - -97. Let d = r - -666/11. Factor 4/11*x + 2/11*x**4 + 0 - d*x**2 + 0*x**3.
2*x*(x - 1)**2*(x + 2)/11
Suppose 29 = -4*b - 3. Let u be (1 - 2) + -3 - b. What is r in r + 2/3 + 5*r**3 - 16/3*r**2 - 4/3*r**u = 0?
-1/4, 1, 2
Let i = -2/11183 - 7369571/145379. Let f = 51 + i. Find v, given that 8/13*v**4 - f*v**3 + 0 - 2/13*v + 6/13*v**5 - 8/13*v**2 = 0.
-1, -1/3, 0, 1
Factor 27*a**2 - 6 + 60*a + 3*a**3 + 24 + 3 + 15.
3*(a + 1)*(a + 2)*(a + 6)
Solve 19/4*o**3 + 0 - 15/2*o**2 + 5/4*o**4 + 0*o = 0.
-5, 0, 6/5
Let q(h) = 2*h**5 + 11*h**4 - 2*h**3 - 2*h**2 + 9*h - 9. Let k = -12 - -10. Let n(f) = -f**4 - f + 1. Let o(j) = k*q(j) - 18*n(j). Factor o(z).
-4*z**2*(z - 1)*(z + 1)**2
Determine m so that 93*m - 4*m**5 - 77*m + 48 - 3*m**3 + 28*m**4 - 9*m**3 - 76*m**2 = 0.
-1, 1, 2, 6
Let j be ((-19)/(-114) - 1/6) + 5. Let m(d) be the third derivative of 5*d**2 + 0 + 3/20*d**j + 0*d**3 - 1/40*d**6 + 0*d - 1/4*d**4. Solve m(b) = 0 for b.
0, 1, 2
Let c(d) be the third derivative of -d**7/42 + d**6/24 + 5*d**5/12 + 5*d**4/8 - 2*d**2 - 553*d. Find n, given that c(n) = 0.
-1, 0, 3
Let p = -56 - -59. Let s(t) = 625*t**2 - 1000*t - 300. Let i(m) = 48*m**2 - 77*m - 23. Let v(b) = p*s(b) - 40*i(b). Factor v(z).
-5*(z - 2)*(9*z + 2)
Let y(g) be the second derivative of 11*g**8/20160 - g**7/1008 + g**6/2160 + 5*g**4/6 - 24*g. Let z(k) be the third derivative of y(k). Factor z(q).
q*(2*q - 1)*(11*q - 2)/6
Let o(p) be the first derivative of -7*p**6/2 + 48*p**5/5 - 33*p**4/4 + 2*p**3 + 433. Factor o(u).
-3*u**2*(u - 1)**2*(7*u - 2)
Let d(w) = 2*w**4 - 18*w**3 + 12*w**2 + 2*w + 2. Let p(q) = 9*q**4 - 91*q**3 + 60*q**2 + 11*q + 11. Let t(l) = -11*d(l) + 2*p(l). Factor t(s).
-4*s**2*(s - 3)*(s - 1)
Suppose -5*g - k = -12, -g + k + 9 = 3. Solve -4*x**2 - 10*x**4 - 17*x - 4*x**4 - 27*x**g + 18 - x**3 - 2*x**5 + 47*x = 0 for x.
-3, -1, 1
Let k(s) = -10*s - 6. Let q be k(-5). Determine m, given that q*m + 20*m**2 - 85*m + 45*m = 0.
-1/5, 0
Let g(n) be the first derivative of -6 - 1/45*n**3 + n**2 + 0*n + 1/90*n**4 + 7/450*n**5 + 1/225*n**6. Let f(m) be the second derivative of g(m). Factor f(t).
2*(t + 1)**2*(4*t - 1)/15
Let f(v) be the second derivative of 3*v + 0 + 45/2*v**2 + 7/2*v**5 - 5/6*v**4 - 25/2*v**3 + 5/42*v**7 - 7/6*v