q) = 0. Calculate q.
-1, 0, 1, 2
Suppose 0 = 5*f + 6 - 26. Let x = -2 + f. Factor 0*a**x - 3*a**2 + 3*a**3 + 53*a - 59*a.
3*a*(a - 2)*(a + 1)
Suppose 5*q + 5*m - 25 = 0, -m = 4*q + 1 - 15. Let c = 7 - -1. Factor -l + c*l - q*l - 4*l**3.
-4*l*(l - 1)*(l + 1)
Let b(q) be the second derivative of 7*q**8/960 - q**7/120 + q**6/360 - 2*q**3 + 6*q. Let s(u) be the second derivative of b(u). Let s(j) = 0. What is j?
0, 2/7
Let l(f) = f**3 + 3*f**2 - 7*f - 5. Let j(x) = -5*x**3 - 15*x**2 + 38*x + 26. Let s(h) = 2*j(h) + 11*l(h). Factor s(t).
(t - 1)*(t + 1)*(t + 3)
Suppose 1/3*d**4 + 52/3*d + 18*d**2 + 20/3*d**3 + 17/3 = 0. What is d?
-17, -1
Let t = 135452/75 + -1806. Let u(q) be the first derivative of 8 + 2/45*q**3 - t*q**5 - 2/15*q**2 + 1/15*q**4 + 0*q. What is w in u(w) = 0?
-1, 0, 1, 2
Let r = 2182/3 - 727. Let a(c) be the third derivative of -7/72*c**4 + 0 + 0*c - 1/60*c**5 + r*c**3 - 3*c**2. Factor a(l).
-(l + 3)*(3*l - 2)/3
Let a(f) = -5*f**4 + 35*f**3 + 185*f**2 - 1075*f - 5. Let j(h) = -h**3 - h**2 - h + 1. Let c(o) = -a(o) - 5*j(o). Factor c(p).
5*p*(p - 6)**2*(p + 6)
Let p(u) = -4*u**3 + 78*u**2 + 78*u - 1. Let f be p(-1). Find l, given that -6/13 - 2/13*l**f - 14/13*l - 10/13*l**2 = 0.
-3, -1
Suppose -403 = -104*r - 397*r + 1100. Let -18*l**2 - 8*l - 1/2*l**4 - 11/2*l**r + 32 = 0. Calculate l.
-4, 1
Find z such that -1/3*z**2 - 4*z + 15 = 0.
-15, 3
Let h = 898 + -895. Let m(c) be the first derivative of 0*c**2 + 1/4*c**4 + 0*c + 5 - 1/3*c**h. Factor m(a).
a**2*(a - 1)
Let t(q) be the first derivative of -2*q**6/15 - 9*q**5/20 - q**4/2 - q**3/6 - 21*q + 45. Let v(a) be the first derivative of t(a). Factor v(i).
-i*(i + 1)**2*(4*i + 1)
Let p be 0 - (0 + -2 + -8). Let h be 4 - -5*p/(-25). Factor -2*d**3 + 15*d**2 - 17*d**h + 3*d - 3*d.
-2*d**2*(d + 1)
Let b be 4/(-44)*2 + (-4416)/(-1056). What is x in -4/3*x + 10/3*x**2 + 0 - 2/3*x**b - 2*x**3 + 2/3*x**5 = 0?
-2, 0, 1
Let y(g) = -3*g**4 + 28*g**3 - 56*g**2 + 42*g. Let j(p) = 35*p**4 - 335*p**3 + 670*p**2 - 505*p. Let k(l) = -2*j(l) - 25*y(l). Solve k(c) = 0 for c.
0, 2
Let k be 0 + 2 + -29 + 2. Let f = -19 - k. Factor -2*l**2 - 1 + 1 - 2*l**2 + f*l**3.
2*l**2*(3*l - 2)
Let q be 70/174 - 32/464. Let i(r) be the first derivative of 0*r - q*r**3 + 1/2*r**2 - 1/4*r**4 + 1/5*r**5 - 4. Suppose i(u) = 0. What is u?
-1, 0, 1
Let f be (-3)/(-18) - 1341/(-54). Let g be (15/f)/((-164)/(-40) + -3). Factor g*w - 2/11*w**2 + 8/11.
-2*(w - 4)*(w + 1)/11
Let o = -128/3 + 43. Let l = -1/21 + o. Determine i, given that l*i**2 + 0 + 4/7*i - 4/7*i**3 - 2/7*i**4 = 0.
-2, -1, 0, 1
Let a(f) be the third derivative of 0 + 1/490*f**7 + 2*f**2 + 0*f**4 + 0*f**3 - 1/140*f**6 + 0*f**5 + 0*f. Factor a(z).
3*z**3*(z - 2)/7
Let x be (-2*5)/(6/(-9)). Suppose 0*s - x = -5*s. Factor 6*u**2 + 7*u + u**4 + 3*u**2 + 0*u**3 + 5 - s + 5*u**3.
(u + 1)**3*(u + 2)
Let t = -265/224 + 47/32. Factor -t*y**2 - 2/7 - 4/7*y.
-2*(y + 1)**2/7
Let f be (-84)/16*(-2)/3. Let y = f - 3. Factor y*m**2 - 1/2*m - 1.
(m - 2)*(m + 1)/2
Let a be (-5)/(-10) + (-1)/(-2). Let x be ((-4)/54)/(3/(-9)*a). Factor -x*i + 0 + 1/9*i**2.
i*(i - 2)/9
Let s = 13762/8595 - 2/1719. Find p, given that 2*p**2 + 17/5*p + 1/5*p**3 + s = 0.
-8, -1
Factor 9/2 + 15/4*q + 3/4*q**2.
3*(q + 2)*(q + 3)/4
Let n(s) = 5*s**3 + 8*s**2 - 14*s - 23. Let m = -42 + 38. Let q(i) = -4*i**3 - 8*i**2 + 14*i + 22. Let b(a) = m*n(a) - 6*q(a). Find r, given that b(r) = 0.
-5, -1, 2
Let g(z) be the second derivative of z**7/105 + 8*z**6/75 - z**5/25 - 26*z**4/15 + 73*z**3/15 - 28*z**2/5 - 2*z - 23. What is t in g(t) = 0?
-7, -4, 1
Let x(w) = -w**2 - 37*w - 248. Let c be x(-9). Let i(n) be the first derivative of 1/12*n**3 + 3 + 7/16*n**2 + 1/4*n - 3/32*n**c. Factor i(t).
-(t - 2)*(t + 1)*(3*t + 1)/8
Let c(w) be the third derivative of -w**8/21 + 166*w**7/735 - 17*w**6/70 - 8*w**5/105 + 2*w**4/21 - 6*w**2 - w. Find u such that c(u) = 0.
-2/7, 0, 1/4, 1, 2
Factor -4*k**4 + 2*k**4 - 39*k**2 - 22*k - 27*k**2 + 20*k**2 - 1105*k**3 + 1079*k**3.
-2*k*(k + 1)**2*(k + 11)
Suppose 0 + 0*c + 2/3*c**2 + 2/21*c**3 = 0. Calculate c.
-7, 0
Let a(u) be the second derivative of -u**4/60 - u**3/3 + 3*u - 9. Let a(k) = 0. Calculate k.
-10, 0
Suppose 0 = -2*j - 4*r - 56, -r + 1 = -3*j - 55. Let i(a) = -a**3 - a**2 - 5*a. Let g(n) = n. Let c(t) = j*g(t) - 4*i(t). Find w such that c(w) = 0.
-1, 0
Let d(k) = -3*k - 12. Let s be d(-5). Suppose -2*v - 2*c + 10 = -0*v, 0 = -3*v + s*c + 3. Find i such that -i**4 - 60*i**3 + 0*i - i + 57*i**v - 3*i**2 = 0.
-1, 0
Let s(u) be the third derivative of -u**5/180 - 19*u**4/18 - 722*u**3/9 - 8*u**2 - 8*u. What is i in s(i) = 0?
-38
Let y be (18/(-108))/(6/(-4)). Let f(w) be the first derivative of -5 - 2/27*w**3 + 2/45*w**5 + 0*w + y*w**2 - 1/18*w**4. Factor f(g).
2*g*(g - 1)**2*(g + 1)/9
Let d(u) be the first derivative of 3*u**8/56 + 4*u**7/35 - u**6/30 - 2*u**5/15 + u**4/12 - 5*u**2 + 21. Let l(t) be the second derivative of d(t). Factor l(w).
2*w*(w + 1)**2*(3*w - 1)**2
Let x(m) be the third derivative of m**6/24 - m**5 - 25*m**4/2 + 2000*m**3/3 + 496*m**2. Factor x(f).
5*(f - 10)**2*(f + 8)
Let c(j) be the second derivative of 0*j**2 - 1/30*j**5 + 15*j + 1/63*j**7 - 1/18*j**4 + 0*j**3 + 1/45*j**6 + 0. Factor c(b).
2*b**2*(b - 1)*(b + 1)**2/3
Suppose -f + 2*q + 42 = 4*f, -5 = -f - 3*q. Let y(n) = 4*n - 29. Let t be y(f). Factor -2/5*a**4 + 0 - 4/5*a + 4/5*a**t + 2/5*a**2.
-2*a*(a - 2)*(a - 1)*(a + 1)/5
Solve 1/3*y - 3*y**2 + 0 - 10/3*y**3 = 0.
-1, 0, 1/10
Let x be (-1 - 5/4) + 7/28. Let d(t) = t**3 - t**2 + t + 1. Let c(p) = -5*p**2 + 8*p - 1. Let i(w) = x*d(w) - 2*c(w). Solve i(l) = 0.
0, 3
Factor 41*k**3 + 333*k**2 - 3 - 230*k**2 - 343*k**2 + 81*k**3 - 9 - 374*k.
2*(k - 3)*(k + 1)*(61*k + 2)
Suppose 69 = 12*q + 17*q - 18. Solve 0 - 4/7*u**2 + 0*u - 4/7*u**q = 0.
-1, 0
Let g(m) be the second derivative of 2*m - 3/2*m**4 - 4/3*m**3 - 3/5*m**5 - 1/15*m**6 + 0*m**2 + 0. Suppose g(l) = 0. Calculate l.
-4, -1, 0
Let k(l) = 7*l**2 + 3*l - 4. Let d(n) be the second derivative of n**4/2 + n**3/2 - 3*n**2/2 - 9*n. Let p(w) = 6*d(w) - 5*k(w). Factor p(u).
(u + 1)*(u + 2)
Let n = -19 - -23. Let k(l) = -5*l**2 - 4*l + 4. Let h(p) = 4*p**2 + p - 5*p**2 - 1 + 0 + 2*p**2. Let a(g) = n*h(g) + k(g). Factor a(d).
-d**2
Let i(a) be the second derivative of -a**6/1380 + a**4/276 + 3*a**2 + 18*a. Let h(c) be the first derivative of i(c). Solve h(v) = 0.
-1, 0, 1
Factor -56*o**2 - 5 - 24*o + 49 + 57*o**2.
(o - 22)*(o - 2)
Let h(j) be the first derivative of j**4/24 - j**3/2 + 5*j**2/4 + 16*j - 11. Let n(d) be the first derivative of h(d). Let n(t) = 0. Calculate t.
1, 5
Let g(c) = -7*c + 26. Let u be g(8). Let p = u + 61/2. Solve 0*j - p*j**5 + 1/2*j**4 - 1/2*j**2 + 0 + 1/2*j**3 = 0.
-1, 0, 1
Let i be (6/9)/(1 - 2/3). Suppose -2*c + 0*c - 10 = 0, 0 = 4*s + i*c - 2. Factor -2/11*w**s + 2/11*w**2 + 0 + 0*w.
-2*w**2*(w - 1)/11
Let t(r) = 3*r**3 - 14*r**2 - 9*r + 22. Let x be t(5). Determine o, given that -2/3 + 4/3*o - 2/3*o**x = 0.
1
Let d(x) = 1. Let a(s) = 9*s**2 - 5*s + 3. Let v(l) = -19*l**2 + 11*l - 7. Let u(g) = -13*a(g) - 6*v(g). Let w(r) = -3*d(r) + u(r). Factor w(n).
-n*(3*n + 1)
Let n(d) = d - 8. Let x be (3 - -7)*30/25. Let o be n(x). What is v in -2*v + 0*v**2 + 5*v**3 - 3*v**3 + o*v**2 - 4*v**3 = 0?
0, 1
Let v(p) = -p**3 - 4*p**2 + 6*p + 7. Let g be v(-5). Let d = -23 + 32. Factor -3 + g*j**3 - d*j + j**3 - j**3 - 9*j**2 - 5*j**3.
-3*(j + 1)**3
Let y(d) = -4*d**2 - 24*d. Let v(j) = -5*j**2 - 23*j. Let q(n) = 6*v(n) - 7*y(n). Factor q(a).
-2*a*(a - 15)
Let h(n) = -40*n**3 - 37*n**2 + 17*n - 17. Let o(m) = 7*m**3 + 6*m**2 - 3*m + 3. Let y(g) = -6*h(g) - 34*o(g). Factor y(s).
2*s**2*(s + 9)
Let f(d) be the second derivative of -1/15*d**6 + 0 + 1/6*d**4 - 6*d - 1/10*d**5 + 0*d**2 + 1/3*d**3. What is v in f(v) = 0?
-1, 0, 1
Let c = 7247 - 7241. Factor -1 - 8*g**2 - 5/3*g**4 - c*g**3 - 14/3*g.
-(g + 1)**3*(5*g + 3)/3
Let c(j) = -j**4 - j**3 + 2*j**2 + 1. Let w(z) = z**2 - z + 1. Let q(k) = -c(k) + w(k). What is b in q(b) = 0?
-1, 0, 1
Let g(t) be the third derivative of t**6/80 + t**5/12 - 23*t**4/48 + 5*t**3/6 + 5*t**2 + 14. Suppose g(q) = 0. Calculate q.
-5, 2/3, 1
Let i(g) = g**4 + g**2 - 1. Let o(v) = 7*v**4 - 2*v**3 + 12*v**2 + 8*v - 8. Let f(u) = -24*i(u) + 3*o(u). Suppose f(d