11*a + 2/11*a**2 + c = 0. Calculate a.
0, 3
Let i(w) be the first derivative of -4*w**3/3 - 16*w**2 - 64*w - 71. Factor i(x).
-4*(x + 4)**2
Let n(q) = -3*q**4 - 288*q**3 - 903*q**2 - 903*q - 303. Let t(s) = 8*s**4 + 574*s**3 + 1807*s**2 + 1805*s + 606. Let d(c) = 7*n(c) + 3*t(c). Factor d(m).
3*(m - 101)*(m + 1)**3
Let i(y) be the first derivative of y**4/32 - y**3/8 + 3*y**2/16 - 18*y + 12. Let k(a) be the first derivative of i(a). Solve k(c) = 0.
1
Suppose -7*w = -15*w + 544. Let u = -64 + w. Solve 9/2*l + 3/4*l**2 + 12*l**u - 18*l**3 + 3/4 = 0 for l.
-1/4, 1
Let a = -26436 - -26439. Let 1/4 - 1/4*i**2 + 3/4*i**a - 3/4*i = 0. Calculate i.
-1, 1/3, 1
Find u, given that 98*u**2 - 4*u**3 - 179*u**2 + 77*u**2 = 0.
-1, 0
Factor 22*l**2 + 0 + 3/2*l**4 + 23/2*l**3 + 10*l.
l*(l + 2)*(l + 5)*(3*l + 2)/2
Let q = 28797 - 115183/4. Factor q - 5/4*l**2 + 1/4*l - 1/4*l**3.
-(l - 1)*(l + 1)*(l + 5)/4
Let c(j) be the second derivative of 3*j**5/5 - 19*j**4/4 + 19*j**3/2 + 9*j**2 + 58*j - 3. Factor c(t).
3*(t - 3)*(t - 2)*(4*t + 1)
Let n(g) be the third derivative of -g**8/588 + 12*g**7/245 - 18*g**6/35 + 72*g**5/35 + 19*g**2. Determine y, given that n(y) = 0.
0, 6
Let v = 10711/6903 + 3/767. Let c be 87/(-116)*(10/(-6) - 1). Suppose v*r**c - 4/9*r + 0 = 0. What is r?
0, 2/7
Let n(v) = 58*v**2 + 218*v + 24. Let z(l) = -30*l**2 - 110*l - 12. Let p(d) = -4*n(d) - 9*z(d). Factor p(s).
2*(s + 3)*(19*s + 2)
Suppose 8*g = 1 + 63. Suppose 4*x - g - 4 = 0. Suppose -3/4*u + 1/2 + 0*u**4 - 1/2*u**2 + u**x - 1/4*u**5 = 0. What is u?
-2, -1, 1
Suppose -x**2 + 4*x + 9*x**2 + 460 - 6*x**2 - 476 = 0. Calculate x.
-4, 2
Let n(a) = -a**2 + 80*a - 207. Suppose -9*q - 48 = 7*q. Let j(p) = -p**2 + 40*p - 103. Let i(d) = q*n(d) + 7*j(d). Factor i(s).
-4*(s - 5)**2
Let d(o) be the third derivative of o**6/40 - o**5/6 + o**4/6 + o**3/2 + 9*o**2. Let z(l) = 3*l**3 - 9*l**2 + 3*l + 3. Let c(n) = -6*d(n) + 7*z(n). Factor c(m).
3*(m - 1)**2*(m + 1)
Let i be ((-66)/30 - -3)/((-2)/(-60)). Let j = -24 + i. Factor -1/3*c**2 - 1/3*c**3 + 0*c + j.
-c**2*(c + 1)/3
Suppose -11/4*s + 1/8*s**2 - 23/8 = 0. What is s?
-1, 23
Suppose 3*v = 7*v - 4*y - 4, -3*y + 5 = v. Factor -4*x**4 + 6*x**2 + 4*x**v - 4 - 2*x**2.
-4*(x - 1)**2*(x + 1)**2
Let y(g) be the first derivative of 2*g**4 - 28*g**3/3 - 28*g**2 - 20*g - 99. Solve y(o) = 0 for o.
-1, -1/2, 5
Let m be -24*(-2)/27 + (-742)/63 + 12. Find s such that -2*s**m - 2/9*s**3 + 4/9 - 2/3*s + 2/3*s**4 = 0.
-1, 1/3, 2
Let q(k) be the second derivative of -k**4/6 + 6*k**3 - 32*k**2 - 10*k - 35. Factor q(b).
-2*(b - 16)*(b - 2)
Let b(g) be the second derivative of 5*g**5/26 - 5*g**4/6 - 29*g**3/39 - 3*g**2/13 - 13*g + 3. Factor b(p).
2*(p - 3)*(5*p + 1)**2/13
Let j = -99 - -103. Suppose 4 - 8 + 50*c - 60*c**2 - c**4 - j*c**4 - 11 + 30*c**3 = 0. What is c?
1, 3
Let a = -136 + 273/2. Suppose -4 = 3*f + 5*b, f - 12 = -3*f + 2*b. What is y in -1/2 - a*y**f + y = 0?
1
Let s = 23 + -7. Let c be s/4 - 1/1. Factor 4*a**3 + 2*a**2 - a**c + 43*a**4 - 55*a**4 + 7*a**5.
a**2*(a - 1)**2*(7*a + 2)
Solve 3/4*h**5 - 3*h**4 + 0*h - 3/2*h**2 + 0 + 15/4*h**3 = 0 for h.
0, 1, 2
Let v be (-35)/(-3) + -6 + (-1)/(-3). Let i be ((-4)/(-15))/((-5)/((-75)/v)). Solve 2/3*f**2 - 4/3 - i*f = 0.
-1, 2
Let d(k) = -77*k + 7. Let m be d(-1). Let w = -81 + m. Determine z, given that 0*z - 6/7*z**w + 0 + 4/7*z**2 + 2/7*z**4 = 0.
0, 1, 2
Let o(l) be the second derivative of 3*l**5/20 + 3*l**4/5 - 18*l**3/5 - 24*l**2/5 + 13*l. Let o(a) = 0. What is a?
-4, -2/5, 2
Let f(g) be the first derivative of -g**3/4 - 15*g**2/4 - 63*g/4 - 125. Factor f(n).
-3*(n + 3)*(n + 7)/4
Let o(a) be the first derivative of 15*a**4/4 - 290*a**3/3 + 95*a**2/2 - 259. Solve o(u) = 0 for u.
0, 1/3, 19
Let h = 186/5 + -37. Let a = 2380/19 + -11881/95. Factor -1/5 - 1/5*m**3 + a*m + h*m**2.
-(m - 1)**2*(m + 1)/5
Let k be (-7)/((-21)/6) + -2. Suppose 0 = 3*v - k*v - 6. Determine u so that -u - 2 + v*u**4 - 3*u + 0*u**3 + 4*u**3 = 0.
-1, 1
Factor 0 - 16/9*f + 2/9*f**4 - 10/3*f**2 - 4/3*f**3.
2*f*(f - 8)*(f + 1)**2/9
Let l(d) = -72*d**2 + 3*d + 3. Let h(v) = -69*v**2 + 2*v + 4. Let u(o) = 3*h(o) - 4*l(o). Factor u(m).
3*m*(27*m - 2)
Determine l, given that -29*l - 1/6*l**2 - 2523/2 = 0.
-87
Factor -11 + 206*z + 2*z**2 - 13 - 208*z.
2*(z - 4)*(z + 3)
Let p(h) be the third derivative of h**8/336 - 11*h**7/630 - 29*h**6/180 - 13*h**5/30 - 41*h**4/72 - 7*h**3/18 - 3*h**2 + 4*h. Find g such that p(g) = 0.
-1, -1/3, 7
Let i(r) be the second derivative of -35/24*r**3 + 9*r + 11/48*r**4 + 0 - 1/80*r**5 + 25/8*r**2. Factor i(p).
-(p - 5)**2*(p - 1)/4
Let y(d) be the first derivative of -10*d**3/33 + 8*d**2/11 + 8*d/11 + 25. Factor y(q).
-2*(q - 2)*(5*q + 2)/11
Let g(j) = -j**3 + 14*j**2 - 2*j + 21. Let r be g(14). Let i = r - -10. Factor 0*p**3 + p**4 + i*p + p**3 + 79*p**2 - 84*p**2.
p*(p - 1)**2*(p + 3)
Let l = 23 + -20. Let 3*c**4 + l*c**4 - 6*c - 3*c**4 - 3*c**5 - 3*c**2 + 9*c**3 = 0. What is c?
-1, 0, 1, 2
Suppose -54 = -2*c - 44. Let w(m) be the second derivative of 0*m**2 + 1/36*m**4 + 1/20*m**c + 0 - 5*m + 0*m**3 + 1/30*m**6 + 1/126*m**7. Factor w(t).
t**2*(t + 1)**3/3
Suppose 9*h = -40 - 5. Let x be ((-1)/h*1)/(27/45). Let -4/3 - x*i**2 - 4/3*i = 0. What is i?
-2
Let t(q) be the second derivative of q**8/7840 - q**7/4410 - q**6/840 + q**5/210 - 17*q**4/6 - 14*q. Let d(l) be the third derivative of t(l). Factor d(a).
2*(a - 1)*(a + 1)*(3*a - 2)/7
Factor -10/19*u**2 + 86/19*u - 48/19.
-2*(u - 8)*(5*u - 3)/19
Let i = -78 - -84. Let f be (-12)/30*i*6/(-8). Factor 3/5*b**3 + 9/5*b**2 + f*b + 3/5.
3*(b + 1)**3/5
Let l(f) = f + 10. Let s be l(-7). Find k such that k**4 + 11*k**3 + 4*k**4 - 10*k**s - 16*k**3 + 10*k**2 = 0.
0, 1, 2
Factor 19*j**2 + 3*j**2 + 64 + 6*j**2 - 128*j.
4*(j - 4)*(7*j - 4)
Let p(y) be the first derivative of -4/9*y**3 + 16 + 8/3*y - 2/3*y**2. Solve p(z) = 0 for z.
-2, 1
Let x be 5*4/(-40) + (-29)/(-2). Solve p**3 + 18 + x*p + 14*p**2 + 0*p**2 + p**3 + 16*p = 0.
-3, -1
Factor 7*i**2 - 6*i**2 + 12*i - 54 + i**2.
2*(i - 3)*(i + 9)
Let p be ((265/7)/(-5) - (-31)/(-93)) + 8. Factor 0*l + 0 - 2/7*l**2 + p*l**3.
2*l**2*(l - 3)/21
Let d(b) be the third derivative of -b**8/20160 + b**7/1680 + 2*b**5/15 + 4*b**2. Let p(k) be the third derivative of d(k). Factor p(o).
-o*(o - 3)
Let h(s) be the third derivative of -s**8/504 + 2*s**7/105 + 17*s**6/90 + 28*s**5/45 + 13*s**4/12 + 10*s**3/9 + s**2 - 83. Determine o so that h(o) = 0.
-1, 10
Let 3*l**4 + 0*l**4 - 125*l - 33*l**2 + 5*l**3 - 32*l**2 + 50 + 2*l**4 - 110 = 0. Calculate l.
-3, -1, 4
Let x = 10272 - 10272. Factor 1/4*c**2 + 0 + x*c + 9/4*c**3.
c**2*(9*c + 1)/4
Let q(b) = b**2 + 8*b - 82. Let s be q(-14). Find f, given that 2*f**s - 4/3*f - 2/3*f**3 + 0 = 0.
0, 1, 2
Factor -2/5*a**5 + 16/5*a**4 + 0*a**2 + 0 - 24/5*a**3 + 0*a.
-2*a**3*(a - 6)*(a - 2)/5
Suppose 30*d - 33*d = -15. Let x(w) be the third derivative of 0*w**3 - w**2 + 0 - 1/54*w**4 - 1/270*w**d + 0*w. Let x(t) = 0. Calculate t.
-2, 0
Let s be (-20)/(-336)*-2*109/(-5). Let j = -13/6 + s. Factor 2/7*r**2 - 1/7*r + j*r**3 + 0.
r*(r + 1)*(3*r - 1)/7
Let s(q) be the third derivative of 0*q + 0 - 4/7*q**3 + 3/14*q**6 - 39/70*q**5 + 16/21*q**4 - 5/147*q**7 - 36*q**2. Let s(n) = 0. What is n?
2/5, 1, 6/5
Suppose -a - 34 = n, 3*a + n + 0*n = -112. Let m = -39 - a. Factor 0*u - 2/7*u**2 - 2/7*u**3 + m.
-2*u**2*(u + 1)/7
Let v be (-2)/(-4) + (-297)/2970. Factor 0*s - 2/5*s**3 + 0 + v*s**5 - 2/5*s**2 + 2/5*s**4.
2*s**2*(s - 1)*(s + 1)**2/5
Suppose -3218*d = -3202*d. Determine w so that -1/7*w**2 - 1/7*w**3 + d + 0*w = 0.
-1, 0
Let r be 3/2 + 4/8. Find h, given that -33*h - 3*h**3 + 11*h**r - 11*h**2 + 9 + 19*h**2 = 0.
1/3, 3
Let g(p) be the first derivative of p**4/2 + 14*p**3/3 - 8*p**2 + 30. Factor g(h).
2*h*(h - 1)*(h + 8)
Let h = 227 - 203. Suppose -65*w - h = -73*w. Factor -12*p**2 + 22*p - 10/3*p**w - 20/3.
-2*(p - 1)*(p + 5)*(5*p - 2)/3
Let j(a) be the second derivative of a**7/112 + a**6/20 - 9*a**5/20 - 7*a**4/16 + 55*a**3/16 + 63*a**2/8 + 98*a. What is h in j(h) = 0?
-7, -1, 2, 3
Let j be (5/(-20))/(30/12)*-2. Factor j - 2/5*o + 1/5*o**2.
(o - 1)**2/5
Let s be (-14)/(-4)*12/28. Let i(t) be the second derivative of 3*t**2 + 0 + 2*t + s*t**3 + 1/4*t**4. Factor i(q).
3*(q + 1)*(q + 2)
Let d(o) be the f