+ ((-13156)/(-546) - 22). Factor -10/3*c**2 + q - 16/3*c.
-2*(c + 2)*(5*c - 2)/3
Let a(r) be the first derivative of 0*r**2 + 0*r - 12 + r**5 - 3/4*r**4 - 2/3*r**3. Suppose a(y) = 0. Calculate y.
-2/5, 0, 1
Let z(a) = -10*a**3 - 25*a**2 - 35*a - 20. Let y(u) = -u**3 - 1. Let o(d) = -5*y(d) + z(d). Factor o(q).
-5*(q + 1)**2*(q + 3)
Let m = 1070 - 1070. Let a(s) be the second derivative of m + 21/20*s**5 + 7*s - 1/2*s**4 + 0*s**3 + 0*s**2. Factor a(h).
3*h**2*(7*h - 2)
Let q(r) be the second derivative of -r**4/30 - 4*r**3 - 180*r**2 + 27*r. What is n in q(n) = 0?
-30
Let h(i) be the second derivative of 0 + 14*i - 10/3*i**3 - 15/2*i**2 - 5/12*i**4. Factor h(u).
-5*(u + 1)*(u + 3)
Suppose 2*x + 54 = -2*x + 3*h, -3*x = 3*h + 51. Let m = x - -25. Factor -m*i**3 - 1 - 4*i - 3*i**2 - 2*i - 5*i**4 - i**5 - 7*i**2 + i.
-(i + 1)**5
Let h(l) be the third derivative of l**6/720 - l**5/15 + 55*l**4/48 - 121*l**3/18 - 129*l**2. What is g in h(g) = 0?
2, 11
Let j = 88 - 84. Factor 2*h**j + 742*h**2 - 742*h**2 + h**5.
h**4*(h + 2)
Let q(l) = 4*l**3 - 20*l**2 - 75*l - 130. Let y(t) be the first derivative of -t**4/4 + t**3/3 + t + 14. Let z(c) = -q(c) - 5*y(c). Factor z(d).
(d + 5)**3
Find x, given that 0 + 11/2*x + 1/2*x**2 = 0.
-11, 0
Let u(v) be the third derivative of -1/6*v**4 + 57*v**2 - v**3 - 1/720*v**6 + 11/360*v**5 + 0*v + 0. Let u(p) = 0. Calculate p.
-1, 6
Let p(o) be the third derivative of 0 + 1/240*o**5 + 12*o**2 + 0*o - 1/16*o**4 + 3/8*o**3. Factor p(z).
(z - 3)**2/4
Let p(l) be the third derivative of -l**8/63 - 2*l**7/315 + 8*l**6/45 + 4*l**5/45 + 287*l**2. Let p(i) = 0. What is i?
-2, -1/4, 0, 2
Let b(w) = -w**2 + 2*w. Let i(y) = 10*y**2 + 92*y - 114. Let g(f) = -12*b(f) - i(f). Suppose g(n) = 0. Calculate n.
1, 57
Suppose 2*s = -p - 6, 5*p + 1 - 4 = s. Determine y, given that y - 4*y**2 + 7*y + p*y + 4*y = 0.
0, 3
Factor 5/9*j**2 + 0 - 1/9*j**3 + 14/9*j.
-j*(j - 7)*(j + 2)/9
Let v(r) = -r**3 + 6*r**2 - 25. Let q be v(5). Factor 2*i**2 + q*i**3 - 17*i**4 - 2*i**3 + 16*i**4 + 3*i**3.
-i**2*(i - 2)*(i + 1)
Let c(k) = -k**3 - k**2 - 4*k + 6. Let v(b) = b**3 - 1. Let g(f) = -c(f) - 2*v(f). What is t in g(t) = 0?
-2, 1, 2
Suppose -50*t + 113 = -137. Let f(v) be the first derivative of 8/5*v**t - 1/6*v**2 + 5/6*v**3 - 5/9*v**6 + 11 - 41/24*v**4 + 0*v. Let f(c) = 0. Calculate c.
0, 2/5, 1/2, 1
Let o(b) be the second derivative of 0*b**2 - 1/24*b**3 + 0*b**5 + 0 + 4*b + 1/24*b**4 - 1/60*b**6 + 1/168*b**7. Factor o(g).
g*(g - 1)**3*(g + 1)/4
Suppose -2*w - 3*n = -19, -2*w + 0*n + 5*n + 27 = 0. Let i be ((-2)/25)/(w/(-55)). Let 6/5*t + 0 - i*t**2 = 0. What is t?
0, 3
Let v(l) be the second derivative of -l**6/6 + 21*l**5 - 415*l**4/12 + l - 327. Solve v(r) = 0 for r.
0, 1, 83
Let c(j) be the first derivative of 0*j - 1 - 9*j**3 - 1/5*j**5 + 27/2*j**2 + 9/4*j**4. Determine s, given that c(s) = 0.
0, 3
Factor 3374/3*k - 980/3 + 14/15*k**3 + 976/15*k**2.
2*(k + 35)**2*(7*k - 2)/15
Let c be 645/165 + -3*(2 - 1). Factor 32/11 + 144/11*s**2 - 128/11*s - 64/11*s**3 + c*s**4.
2*(s - 2)**3*(5*s - 2)/11
Let v(u) be the first derivative of u**4/6 + 20*u**3/3 + 50. Factor v(s).
2*s**2*(s + 30)/3
Suppose 27*f = 22*f + 20. Factor -2*j**3 - 2*j**4 - 3*j**3 + 5*j**4 + 8*j**2 - f*j - 2*j**4.
j*(j - 2)**2*(j - 1)
Let i be (-1)/(-6) + 62/(-12). Let a(g) = -45*g**3 + 219*g**2 - 219*g + 45. Let c(l) = 9*l**3 - 44*l**2 + 44*l - 9. Let q(r) = i*a(r) - 24*c(r). Factor q(y).
3*(y - 3)*(y - 1)*(3*y - 1)
Factor -6 - 4*l**2 - 35/2*l.
-(l + 4)*(8*l + 3)/2
Factor 17940/7*k**2 + 48/7 + 3042/7*k**3 - 1864/7*k.
2*(k + 6)*(39*k - 2)**2/7
Suppose u + 4 = -2*r, 0*r - 2*u - 8 = -2*r. Let r*i**2 + 1/3*i**3 - 2/3 - i = 0. What is i?
-1, 2
Let a be (-13 - -34)*(9 + (-2739)/308). Factor 0 + a*j**2 + 3/4*j**3 - 3*j.
3*j*(j - 1)*(j + 4)/4
Let j = -34 + 37. Factor -j*w**3 - 18 + 2*w - 29*w - 18*w**2 + 18.
-3*w*(w + 3)**2
What is u in 75*u + 5/3*u**2 + 220/3 = 0?
-44, -1
Let l(s) = -s**2 - 55*s + 89. Let j(z) = 7 - 7 - 18 + 18*z - 12. Let p(v) = -7*j(v) - 2*l(v). Let p(k) = 0. What is k?
4
Let l = -38629/9 + 4293. Factor 4/9*i - l - 4/9*i**3 + 8/9*i**2.
-4*(i - 2)*(i - 1)*(i + 1)/9
Determine a so that -1300*a - 5/3*a**3 - 6760/3 - 90*a**2 = 0.
-26, -2
Let s(u) = -12*u**4 - 48*u**3 + u**2 + 37*u + 22. Let g(k) = -4*k**4 - 16*k**3 + 12*k + 8. Let x(b) = -11*g(b) + 4*s(b). Solve x(w) = 0 for w.
-4, -1, 0, 1
Let z(t) be the first derivative of t**3/12 + 29*t**2/8 + 236. Solve z(j) = 0 for j.
-29, 0
Let b(u) be the third derivative of 2*u**7/105 - 2*u**6/15 + 2*u**5/15 + 2*u**4/3 - 2*u**3 - 192*u**2. Solve b(m) = 0 for m.
-1, 1, 3
Let r(u) be the first derivative of 0*u**2 + 4 + 0*u**3 + 2/35*u**5 + 3/28*u**4 + 0*u - 1/42*u**6. Factor r(z).
-z**3*(z - 3)*(z + 1)/7
Let p(l) be the second derivative of l**5/25 - 2*l**4/5 + 6*l**3/5 + 78*l. Find n such that p(n) = 0.
0, 3
Let q(s) be the third derivative of -s**8/2240 + s**7/140 - s**6/48 + 13*s**4/12 - 9*s**2. Let l(m) be the second derivative of q(m). Factor l(y).
-3*y*(y - 5)*(y - 1)
Let a(p) be the third derivative of p**8/100800 - p**7/12600 - 2*p**5/15 + 6*p**2. Let j(w) be the third derivative of a(w). Factor j(f).
f*(f - 2)/5
Let s = -25 - -41. Suppose -3*w - 15 = 0, -o + 5*w - 4*w = -s. Factor 4*r**4 - r**4 - o*r**2 + 0*r**4 - 2*r**3 + 10*r**2.
r**2*(r - 1)*(3*r + 1)
Let b(i) = -9*i**2 - 44*i + 333. Let d be b(-9). Factor 2/5*l**4 - 14/5*l**2 + d + 4/5*l**3 + 8/5*l.
2*l*(l - 1)**2*(l + 4)/5
Let b(w) be the first derivative of -3/2*w**2 - w**3 - 10 + 3/4*w**4 + 3*w. Suppose b(y) = 0. What is y?
-1, 1
Let d(z) be the first derivative of 5*z**6/6 + 25*z**5/4 + 145*z**4/8 + 305*z**3/12 + 35*z**2/2 + 5*z - 496. Solve d(l) = 0 for l.
-2, -1, -1/4
Find y such that 1477 + 80*y**3 - 65*y**2 - 5*y**4 - 150*y - 1477 = 0.
-1, 0, 2, 15
Factor -2*i + 0 + 2/5*i**2.
2*i*(i - 5)/5
Suppose 5*a + 14 = w, 2*a = -3*w - 0*w - 9. Let f be (-6)/((-9)/a) - -7. Solve -6*y**2 + 23*y**4 + 15*y**f + 3*y**4 + 3*y**3 - 2*y**4 = 0.
-1, 0, 2/5
Let j(n) = n**3 - n - 1. Let u(x) = 6*x**3 - 5*x**2 + 4*x - 8. Let z(s) = 24*j(s) - 3*u(s). Factor z(r).
3*r*(r + 4)*(2*r - 3)
Let k(t) = -3*t**3 - 23*t**2 - 91*t - 104. Let b(l) = 2*l**3 + 22*l**2 + 92*l + 104. Let d(j) = -5*b(j) - 4*k(j). Factor d(q).
2*(q - 13)*(q + 2)**2
Let j be (-8 - -8)*1/(-2). Let z = j + 4. Solve 4*o**4 - o**z + o**2 - o**2 = 0 for o.
0
Let q(t) be the first derivative of -t**6/15 - 56*t**5/25 - 98*t**4/5 + 43. Factor q(y).
-2*y**3*(y + 14)**2/5
Let s be (24/66)/(-2) + 196/(-11). Let j be -4 + 0 - s/3. Factor 1/3*h**5 + h**4 + 2/3*h**3 - 1/3 - h - 2/3*h**j.
(h - 1)*(h + 1)**4/3
Solve -40*d + 4*d**2 + 11*d + 14*d + 12*d = 0.
0, 3/4
Let m(g) be the second derivative of g**6/105 - 9*g**5/70 + 2*g**4/3 - 12*g**3/7 + 16*g**2/7 + 167*g. Factor m(w).
2*(w - 4)*(w - 2)**2*(w - 1)/7
Let r(v) be the second derivative of -1/130*v**5 - 6/13*v**2 + 0*v**4 + 0 - 5*v + 7/39*v**3. Let r(z) = 0. Calculate z.
-3, 1, 2
Suppose -3*c - 48 = -a, -2*a - 13 = 3*c - 136. Suppose j = 4*j - a. Factor -10*x + 8*x**3 - 27*x**4 - 1 + 4*x**2 + 2*x**5 + j*x**4 + 5.
2*(x - 2)*(x - 1)**3*(x + 1)
Let p(f) be the third derivative of 1/8*f**4 + 1/60*f**5 - 1/6*f**3 + 6*f**2 + 0*f + 0 - 1/360*f**6. Let n(q) be the first derivative of p(q). Factor n(d).
-(d - 3)*(d + 1)
Let a = 47/2 - 211/10. Factor a*d**3 - 24/5*d**2 - 3/5 + 3*d.
3*(d - 1)*(2*d - 1)**2/5
Let f(j) be the third derivative of 34*j**2 - 7/90*j**6 - 1/9*j**4 - 11/90*j**5 + 0*j - 17/630*j**7 - 1/18*j**3 - 1/252*j**8 + 0. Factor f(m).
-(m + 1)**4*(4*m + 1)/3
Solve 28*r - 103*r**3 + 6944 - 7*r**4 - 68*r**2 - 6944 = 0.
-14, -1, 0, 2/7
Let s(q) be the first derivative of q**4/4 + 2*q**3/3 - 39. Factor s(z).
z**2*(z + 2)
Suppose 535*p - 413*p = 0. Factor 0*f**2 + 0*f + p - 14/11*f**4 + 6/11*f**3.
-2*f**3*(7*f - 3)/11
Let b(p) = -10*p**2 + 118*p + 405. Let z(m) = 8*m**2 - 120*m - 406. Let y(o) = -2*b(o) - 3*z(o). Find c such that y(c) = 0.
-3, 34
Suppose 5*j = -0 + 15. Factor -16*x + 13*x**3 - x**j - 284*x**5 + 16*x**2 + 280*x**5 - 8*x**4.
-4*x*(x - 1)**2*(x + 2)**2
Let z(g) be the third derivative of -g**5/120 + g**4/16 + 5*g**3/6 + 13*g**2 + 2*g. What is h in z(h) = 0?
-2, 5
Let n = 432 + -1727/4. Let x(h) be the second derivative of -n*h**2 + 1/24*h**4 + 0 - 3*h - 1/40*h**5 + 1/12*h**