et c(y) = 11*g(y) + 2*i(y). Let k(t) = c(t) + 3*o(t). What is f in k(f) = 0?
-1, 1
Suppose -38 = -h + 2*w, -4*h - w - 3*w + 164 = 0. Factor 38*r - 148 - 15*r**3 + 128 + 37*r - h*r**2.
-5*(r - 1)*(r + 4)*(3*r - 1)
Let x(j) be the first derivative of -j**6/90 + j**4/6 - 11*j**3/3 + 2. Let m(z) be the third derivative of x(z). Determine h, given that m(h) = 0.
-1, 1
Suppose -20 - 5*u**3 + 47*u - 55*u**2 - 60*u + 15*u**4 - 15*u - 32*u + 4*u**5 + u**5 = 0. Calculate u.
-2, -1, 2
Suppose 0 = 25*f - 35*f + 20. Let n(a) be the first derivative of -7 + 1/16*a**f - 1/32*a**4 + 1/8*a - 1/24*a**3. Factor n(w).
-(w - 1)*(w + 1)**2/8
Let i(p) be the second derivative of p**7/63 + 11*p**6/45 - 13*p**5/10 + 41*p**4/18 - 14*p**3/9 + 175*p. Factor i(o).
2*o*(o - 1)**3*(o + 14)/3
Find u such that -15/8*u**3 + 3/8*u**4 + 27/8*u + 9/8*u**2 + 0 = 0.
-1, 0, 3
Let z(i) be the third derivative of i**7/2520 - i**6/720 - i**5/60 - i**4/8 - 11*i**2. Let j(r) be the second derivative of z(r). Suppose j(h) = 0. Calculate h.
-1, 2
Let m(k) be the first derivative of 0*k**2 - 16/15*k**3 + 0*k - 68/25*k**5 + 1 - 4*k**4 - 8/15*k**6. Find t such that m(t) = 0.
-2, -1/4, 0
Factor -42*a - 13*a + 31*a - 34*a**2 - 18*a**3 - 3*a**4 - 2*a**2.
-3*a*(a + 2)**3
Suppose 9*m - 99 + 72 = 0. Solve -4*x**m - 2/5*x**5 + 2/5 - 2*x + 2*x**4 + 4*x**2 = 0.
1
Let t(j) be the first derivative of 3*j**5/25 - 2*j**4/5 + 4*j**3/15 + 67. Solve t(u) = 0 for u.
0, 2/3, 2
Let f(w) be the first derivative of 3*w**5/20 + 15*w**4/16 + w**3 + 24. Factor f(d).
3*d**2*(d + 1)*(d + 4)/4
Let m(t) be the second derivative of t**5/300 - t**4/30 - 7*t**2 + 4*t. Let h(w) be the first derivative of m(w). Factor h(p).
p*(p - 4)/5
Let f be 2/(-5) - (-2)/5. Let w(p) = 29*p - 2637. Let z be w(91). Factor f - 2/3*s**z - 2/9*s**3 - 4/9*s.
-2*s*(s + 1)*(s + 2)/9
Let f(l) be the third derivative of -8*l**2 + 0*l + 0 + 1/60*l**5 + 1/120*l**6 + 1/2*l**3 - 5/24*l**4. What is o in f(o) = 0?
-3, 1
Let o(u) be the third derivative of -u**5/270 - 7*u**4/12 + 130*u**3/27 + 9*u**2. Suppose o(q) = 0. What is q?
-65, 2
Suppose -2*r + 42 = 5*r. Let l be (2 - -1)*(-60)/(-9). Factor -g - l*g**3 + 23*g**3 - 11*g + r + 3*g.
3*(g - 1)**2*(g + 2)
Suppose 0*d**2 + 15 + 15 - 10*d**2 - 2*d**3 - 14 - 4*d = 0. What is d?
-4, -2, 1
Suppose -3*q + 4*h + 5 = -21, 5*q - 5 = -h. Let w(l) be the second derivative of 1/60*l**5 + 1/18*l**4 + 1/18*l**3 + 0 + 0*l**q - 3*l. Solve w(g) = 0.
-1, 0
Suppose -5*k = -8*k + 15. Factor 11*u + 19*u + 15*u**2 - k*u**4 - 20*u.
-5*u*(u - 2)*(u + 1)**2
Factor 0*h + 4/7*h**4 + 0 + 120/7*h**3 + 0*h**2.
4*h**3*(h + 30)/7
Let m(b) = 9*b**4 - 25*b**3 - 154*b**2 + 10*b + 5. Let v(y) = 4*y**4 - 12*y**3 - 76*y**2 + 4*y + 2. Let c(z) = 2*m(z) - 5*v(z). Factor c(k).
-2*k**2*(k - 9)*(k + 4)
Let b be (-6)/(-2)*84/18. Suppose -b = -2*s - 3*c, -2*s - c = -2*c - 6. Factor -30*p**3 - 46*p**2 - 24*p - s - 25/4*p**4.
-(p + 2)**2*(5*p + 2)**2/4
Let 160*l + 15*l**2 + 39*l**2 + 13*l**2 + 64 + 33*l**2 = 0. Calculate l.
-4/5
Let u be (-262)/40*(-26)/39 - 4. Let p(k) be the third derivative of 0 + 0*k - u*k**5 + 2/3*k**3 - 2*k**2 + 3/4*k**4. Determine m, given that p(m) = 0.
-2/11, 1
Let y(j) be the second derivative of j**4/6 - 11*j**3 - 34*j**2 - 73*j. Determine k, given that y(k) = 0.
-1, 34
Let g(s) = -6*s + 16. Let j be g(2). Suppose 6*r - 4*r - j*t = 12, -4 = -2*r - 4*t. Find y, given that -11/2*y**2 - 8*y**r + y + 21/2*y**3 + 2*y**5 + 0 = 0.
0, 1/2, 1, 2
Let r(h) be the first derivative of -h**5 + 5*h**4/4 + 5*h**3 - 5*h**2/2 - 10*h + 31. Factor r(f).
-5*(f - 2)*(f - 1)*(f + 1)**2
Let v(p) be the second derivative of 0*p**6 + 7*p + 0*p**3 + 2/21*p**7 + 0 + 0*p**4 + 0*p**2 - 1/5*p**5. Factor v(a).
4*a**3*(a - 1)*(a + 1)
Let h(b) = b**4 + b**3 - b**2. Let p(r) = -3*r**4 + 21*r**3 - 60*r**2 + 40*r. Let x(z) = 2*h(z) + p(z). Factor x(l).
-l*(l - 20)*(l - 2)*(l - 1)
Let q(x) = -x**3 - 35*x**2 + 59*x - 6. Let d(i) = 5*i**3 + 209*i**2 - 353*i + 34. Let u(v) = 6*d(v) + 34*q(v). Determine l, given that u(l) = 0.
0, 2, 14
Let j be 4/(-8) + 2/3. Factor -2/3 - 13/6*h**2 - 2*h - h**3 - j*h**4.
-(h + 1)**2*(h + 2)**2/6
Let l = 1/27884 - -81198203/139420. Determine h, given that -128*h + 196*h**4 + 2208/5*h**2 - l*h**3 + 64/5 = 0.
2/7, 2/5, 2
Let a be -6 - (-2 + -2) - (-6 - (-10)/4). Factor -1/4*f + 5/2*f**4 - 3*f**3 + a*f**2 - 3/4*f**5 + 0.
-f*(f - 1)**3*(3*f - 1)/4
Let u(t) be the second derivative of -3*t**5/5 - 6*t**4 - 21*t**3/2 - 15*t**2/2 - 62*t - 1. Let u(f) = 0. Calculate f.
-5, -1/2
Let l(x) be the third derivative of x**5/120 - 5*x**4/24 + 4*x**3/3 + 20*x**2 - 8*x. Factor l(f).
(f - 8)*(f - 2)/2
Let s(h) be the third derivative of -h**6/360 + h**4/72 - h**2 - 18. Suppose s(w) = 0. Calculate w.
-1, 0, 1
Factor 4*z**3 + 33*z**4 - 109*z + 2*z**2 - 35*z**4 + 105*z.
-2*z*(z - 2)*(z - 1)*(z + 1)
Let 524/11*c + 426/11*c**2 + 36/11*c**3 - 10/11*c**4 + 144/11 = 0. What is c?
-4, -1, -2/5, 9
Determine m, given that -488*m - m**2 + 6*m**2 - 3821 + 18705 - m**2 = 0.
61
Let u(p) = p**4 + p**3 - 3*p**2 - 3*p - 14. Let r(d) = d**3 + d**2 + d + 1. Let s(o) = -3*r(o) - u(o). Let q(x) be the first derivative of s(x). Solve q(t) = 0.
-3, 0
Let g(n) = -15*n**4 - 10*n**3 + 75*n**2 + 13*n. Let z(f) = 31*f**4 + 18*f**3 - 149*f**2 - 27*f. Let u(d) = 10*g(d) + 6*z(d). Factor u(s).
4*s*(s - 2)*(s + 2)*(9*s + 2)
Let r(c) be the first derivative of -3*c**5/8 + c**4 - c**3/4 - 3*c**2/2 + 4*c - 6. Let s(z) be the first derivative of r(z). Solve s(b) = 0.
-2/5, 1
Factor 3/5*f**2 - 162*f + 10935.
3*(f - 135)**2/5
Let g(p) = -11*p**3 - p**2 - 5*p - 5. Let i(m) = -39*m**3 + 25*m**3 - 18*m + 0*m**2 - 3*m**2 - 25*m**3 - 18. Let w(h) = 18*g(h) - 5*i(h). Factor w(n).
-3*n**2*(n + 1)
Let l be 1872/780*(-5)/(-27). Let w(o) be the first derivative of -1/5*o**5 - 8 + 0*o**4 + 0*o + 0*o**2 + l*o**3 - 1/18*o**6. Find y such that w(y) = 0.
-2, 0, 1
Let i(f) be the second derivative of 0 + 0*f**3 - 4*f + 1/66*f**4 + 0*f**2. Factor i(s).
2*s**2/11
Factor -13 + 18*j**2 + 4*j - 2*j + 22*j + 0*j**3 - 27 - 2*j**3.
-2*(j - 10)*(j - 1)*(j + 2)
Let g be 6 + (24/(-48))/((-1)/(-12)). Determine b so that g + 0*b**3 + 0*b + 1/2*b**4 + 0*b**2 = 0.
0
Let b = 1536 + -1533. Let o(z) be the third derivative of 1/840*z**6 + 0*z + 0 - 1/105*z**5 + 5/168*z**4 - b*z**2 - 1/21*z**3. Determine w, given that o(w) = 0.
1, 2
Suppose 5*z = 0, 2*z - 36 = -4*t - 0*z. Suppose -15*d + t*d**2 - 242*d**4 + 239*d**4 + 3*d + 6*d**3 - 12 = 0. Calculate d.
-1, 2
Factor -29436697205/6*r - 1385/6*r**4 - 106269665/3*r**2 - 1630793025157/6 - 383645/3*r**3 - 1/6*r**5.
-(r + 277)**5/6
Let t(l) be the third derivative of -l**6/180 - l**5/60 - 5*l**3/3 + 23*l**2. Let y(f) be the first derivative of t(f). Solve y(p) = 0.
-1, 0
Let t = 7352 - 7350. Factor 2 - 95/2*z**t - 4*z + 99/2*z**3.
(z - 1)*(9*z + 2)*(11*z - 2)/2
Let j be 4 + (-3215)/(-494)*-1. Let p = -2/247 - j. What is x in 0 - 5*x - p*x**2 = 0?
-2, 0
Suppose 0 + 44/7*m**2 - 8/7*m**3 + 2*m - 44/7*m**4 - 6/7*m**5 = 0. Calculate m.
-7, -1, -1/3, 0, 1
Let n = 18089 + -18087. Solve 4*v**3 - 4/3*v**5 - 2/3*v**n - 4/3*v - 2/3*v**4 + 0 = 0.
-2, -1/2, 0, 1
Let n = 1340 + -1332. Let b(v) be the first derivative of -1/9*v**3 + 1/6*v + 0*v**2 + n + 1/30*v**5 + 0*v**4. Factor b(f).
(f - 1)**2*(f + 1)**2/6
Factor -12*r**3 + 6*r**2 + 15*r**2 - 2*r**3 + 17*r**3.
3*r**2*(r + 7)
Let j(f) be the first derivative of -10*f + 20/3*f**3 - 35/2*f**2 - 26. Determine y so that j(y) = 0.
-1/4, 2
Let g(c) be the first derivative of -4*c**5/5 + 30*c**4 - 300*c**3 - 412. Factor g(m).
-4*m**2*(m - 15)**2
Factor -25/3 - 1/3*h**2 + 26/3*h.
-(h - 25)*(h - 1)/3
Let t be 5 + (-88)/12 - 138/(-46). Factor -8/3 - 2*v + t*v**2.
2*(v - 4)*(v + 1)/3
Let p(v) be the second derivative of -v**8/3360 + v**7/294 - v**6/70 + 2*v**5/105 - 13*v**4/12 + 19*v. Let s(t) be the third derivative of p(t). Factor s(x).
-2*(x - 2)**2*(7*x - 2)/7
Let d(r) be the first derivative of -5*r**6/2 - 306*r**5/5 - 645*r**4/4 + 30*r**3 + 330*r**2 + 216*r + 426. Solve d(z) = 0 for z.
-18, -2, -1, -2/5, 1
Let z(a) be the second derivative of 1/21*a**4 - 1/35*a**6 + 2*a + 4/21*a**3 - 2/35*a**5 + 0 + 1/7*a**2. Find r such that z(r) = 0.
-1, -1/3, 1
Let i be -354*(7 - 3)/(-16). Let f = i - 87. Find y such that -9/2 - f*y**2 - 6*y = 0.
-3, -1