x + 9. Factor -6 + 1 + 5 + m**x.
m**3
Let s(n) = -2*n - 4. Let d be s(-3). Suppose c - g = 4*c - 4, -d*c = g - 1. Solve x + 0*x**c + 2*x - 3*x**3 + 3*x**2 + 3*x = 0 for x.
-1, 0, 2
Let g(q) be the second derivative of q**6/10 + 3*q**5/4 + 7*q**4/4 + 3*q**3/2 + 16*q. Determine z, given that g(z) = 0.
-3, -1, 0
Let u(c) be the first derivative of -1/6*c + 23 - 1/18*c**3 - 1/6*c**2. Factor u(q).
-(q + 1)**2/6
Let d(x) = 9*x**3 + 11*x**2 - 9*x - 16. Let y(t) = t + 15. Let m be y(-10). Let o(l) = -14*l**3 - 16*l**2 + 14*l + 24. Let u(s) = m*o(s) + 8*d(s). Factor u(c).
2*(c - 1)*(c + 1)*(c + 4)
Let r(j) be the third derivative of 1/200*j**6 + 1331/10*j**3 + 33/100*j**5 - 5*j**2 + 363/40*j**4 + 0 + 0*j. Find b such that r(b) = 0.
-11
Let r(k) be the second derivative of -k**6/45 + k**5/3 + 37*k**4/18 + 26*k**3/9 - 2*k + 49. Suppose r(u) = 0. What is u?
-2, -1, 0, 13
Let u(b) be the first derivative of -9*b**5/20 - 39*b**4/8 - 9*b**3/4 + 81*b**2/4 - 12*b - 172. Suppose u(m) = 0. Calculate m.
-8, -2, 1/3, 1
Find x such that 59*x**3 + 61*x**3 + 55*x**3 + 32*x**4 + 14*x**5 - 167*x**3 = 0.
-2, -2/7, 0
Let c be 7/28*(12/(-2) - -8). Factor -c*p**3 - p + 0 + 3/2*p**2.
-p*(p - 2)*(p - 1)/2
Suppose 58 = 6*m - 2. Factor -12 + m*n - 2*n**2 - 20 + 7*n - n.
-2*(n - 4)**2
Let g(p) be the second derivative of 5*p**7/28 - 53*p**6/20 + 459*p**5/40 - 55*p**4/8 - 25*p**3/2 + 13*p + 6. Determine a, given that g(a) = 0.
-2/5, 0, 1, 5
Solve -47*g**2 - 15*g + 35*g + 52*g**2 + 8*g + 52*g + 320 = 0 for g.
-8
Suppose 4*v = -10*v + 280. Let r(m) = -m**2 + 22*m - 38. Let u be r(v). Solve c**3 - 1/2*c + 0 - 1/2*c**u = 0.
-1/2, 0, 1
Let j(b) = -b**2 - 6*b + 9. Let c be j(-7). Suppose -4*l + m = -1 - 14, -2*l + m + 9 = 0. Factor f - l*f - f**c + 0*f + 0*f**2.
-f*(f + 2)
Suppose 3*b - 27 - 3 = 0. Let p = b + -3. Factor 9*u**4 - 2*u**3 - 3*u**4 - p*u**4.
-u**3*(u + 2)
Let l(k) = 144*k + 3. Let t be l(10). Factor 48*a**4 + t*a**2 + 504*a**3 + 1071*a - 441*a - 4 + 79.
3*(a + 5)**2*(4*a + 1)**2
Let c(p) = -20*p**5 - 30*p**4 + 65*p**3 + 65*p**2 - 95*p + 25. Let t(n) = n**4 - n**3 + n + 1. Let x(o) = c(o) - 5*t(o). Determine w, given that x(w) = 0.
-2, 1/4, 1
Let r(t) be the second derivative of 1/105*t**6 + 0*t**5 + 0 + 0*t**3 - 20*t + 0*t**2 - 2/21*t**4. Find c, given that r(c) = 0.
-2, 0, 2
Let u(n) be the second derivative of -n**5/80 + n**4/16 + 3*n**3/8 + 5*n**2/8 + 41*n + 2. Factor u(j).
-(j - 5)*(j + 1)**2/4
Let o be 1086/2353*26/4. Let -9/5*a**4 - 3/5*a**5 + 0 + 0*a**2 - 6/5*a**o + 0*a = 0. What is a?
-2, -1, 0
Let n be 234/(-65)*(-62 + 8). Find i such that -n + 108/5*i - 3/5*i**2 = 0.
18
Let a(w) = 57 - 106 - 9*w**2 - 26*w + 66. Let q(o) = 0 + 0 - 6 + 9*o + 3*o**2. Let p(v) = 6*a(v) + 17*q(v). Factor p(t).
-3*t*(t + 1)
Let x(z) = z**2 + 9*z - 7. Let n be x(-10). Factor 6*f - 5*f**4 - 2*f**n - 7*f**3 - 21*f**3 - 45*f**2 - 26*f.
-5*f*(f + 1)**2*(f + 4)
Suppose -4*o = -5*h - 9 - 9, -5*h = 4*o + 2. Factor -24*l + 27 + 3*l**o + 8*l - 22.
(l - 5)*(3*l - 1)
Let p be ((-34)/(-289))/(102/3179). Let -2*z + 0 - z**3 - p*z**2 = 0. What is z?
-3, -2/3, 0
Let h(r) be the third derivative of r**5/60 - r**4/4 + 7*r**2 - 2*r. Factor h(p).
p*(p - 6)
Suppose -3*a + 30*a + 2*a**5 + a**5 + 3*a**3 - 17*a**3 - 16*a**3 = 0. Calculate a.
-3, -1, 0, 1, 3
Suppose 0 = -d - 21 + 25. Factor 0*f**2 - 2/5 + 4/5*f + 2/5*f**d - 4/5*f**3.
2*(f - 1)**3*(f + 1)/5
Let h = -247 - -248. Let y(c) be the first derivative of -2/9*c**2 - 2/9*c + h - 2/27*c**3. Let y(j) = 0. Calculate j.
-1
Let h(v) = -7*v**3 + 223*v**2 + 220*v. Let t(d) = -9*d**3 + 225*d**2 + 219*d. Let k(m) = -3*h(m) + 2*t(m). Let k(l) = 0. What is l?
-1, 0, 74
Let t(g) = 4*g**3 + 17*g**2 - 9*g - 7. Suppose 7 = 5*k - 18. Let w(s) = -2*s**3 - 9*s**2 + 5*s + 3. Let z(n) = k*w(n) + 3*t(n). Factor z(u).
2*(u - 1)*(u + 1)*(u + 3)
Let n = 334/115 + -1834/1265. Solve -2/11*f**2 - 24/11*f**4 + 0*f - 12/11*f**3 - n*f**5 + 0 = 0.
-1/2, 0
Suppose -2*u + 41 = 805. Let n = u + 2680/7. Factor -n*k - 2/7*k**3 + 6/7*k**2 + 2/7.
-2*(k - 1)**3/7
Let h be (-68)/(-17) - ((3 - 0) + 0). Let y be (h/10)/((-5)/35*-7). Factor -1/10*n**3 - 1/10 + 1/10*n + y*n**2.
-(n - 1)**2*(n + 1)/10
Let q(n) be the first derivative of -1/12*n**3 + 3/4*n + 1/4*n**2 + 13. Factor q(s).
-(s - 3)*(s + 1)/4
Let s(k) be the third derivative of k**6/240 - 8*k**5/15 + 1085*k**4/48 - 961*k**3/6 - 62*k**2. Determine a, given that s(a) = 0.
2, 31
Let l(k) = -18*k - 36. Let b be l(-7). What is c in -5*c**3 + 411 + 394 - 540*c + 275 + b*c**2 = 0?
6
Let v(l) be the first derivative of l**4/4 - 26*l**3/9 + 8*l**2/3 + 17. Let v(k) = 0. What is k?
0, 2/3, 8
Let d(g) be the second derivative of g**6/20 - 4*g**5/15 - g**4/3 + g**3 - 13*g. Let s(r) be the second derivative of d(r). Factor s(c).
2*(c - 2)*(9*c + 2)
Let l be (30*3*(-4)/(-24))/3. Let p(y) be the second derivative of 1/6*y**4 + l*y + 0 + 1/3*y**3 + 0*y**2. Factor p(u).
2*u*(u + 1)
Let -21/2*w**3 + 0 + 3/2*w**4 + 21/2*w - 3/2*w**2 = 0. What is w?
-1, 0, 1, 7
Let r be (3 - 1) + (-208)/364 + 38/(-56). Solve 3/4*s - r*s**2 + 3/4 - 3/4*s**3 = 0.
-1, 1
Let v(p) = 2*p + 6. Let m be v(-3). Let t(s) = -2*s**2 + 25*s - 50. Let q be t(10). Factor q + 3/4*u**3 + 0*u**2 + 3/4*u**5 + m*u + 3/2*u**4.
3*u**3*(u + 1)**2/4
Suppose 4*m - 2*k = -2, 0*m - k = 2*m - 9. Find v such that 18 - 7 - m*v**2 + 10*v - 11 = 0.
0, 5
Let a be 84/9 + (-1)/3. Let x(z) = z - 6. Let u be x(a). Solve 0*b**4 - 2*b**3 - 4*b**4 - b**3 + 2*b**5 + 5*b**u = 0.
0, 1
Let y(a) be the first derivative of -2*a**5/5 - 10*a**4 - 96*a**3 - 448*a**2 - 1024*a - 225. Determine p so that y(p) = 0.
-8, -4
Suppose -15*h = -16*h - 5*g + 25, 5*h - g - 21 = 0. Let k(r) be the second derivative of 0 + 4*r + 1/3*r**3 - 1/10*r**h + 1/6*r**4 - r**2. Solve k(s) = 0.
-1, 1
Suppose -28 = 2*b + 4*z, -3*b - 2*b = -z + 48. Let o be 4 + -2 - (9 + b). Factor -i**5 + 1/2*i**o + 0*i**2 + 0*i - 1/2*i**4 + 0.
-i**3*(i + 1)*(2*i - 1)/2
What is u in -18*u - 16*u - 144 + 9*u - 4*u**2 - 22*u - 13*u = 0?
-12, -3
Let s(m) be the third derivative of m**5/80 - 5*m**4/8 + m**2 - 47*m. Factor s(r).
3*r*(r - 20)/4
Let c(f) = 3*f**4 - f**3 - 5*f**2 + f. Let p(k) = -2*k + 3*k - 142*k**3 + 141*k**3 - k**5 - k**2. Let g(o) = -c(o) + p(o). Factor g(y).
-y**2*(y - 1)*(y + 2)**2
Let r(u) be the second derivative of u**6/360 - u**5/120 - u**4/12 - 5*u**3/6 - 9*u. Let k(f) be the second derivative of r(f). Let k(l) = 0. Calculate l.
-1, 2
Let c(n) be the second derivative of n**7/504 - n**6/36 + n**5/8 - 2*n**4/3 + n. Let a(j) be the third derivative of c(j). Let a(b) = 0. What is b?
1, 3
Let q = 10 + -5. Suppose -5*p + 0*n - 5*n + 35 = 0, -q*n = p - 23. Factor -25*k + k**p + 3*k**4 - 13*k**3 + 15*k**2 + 19*k.
3*k*(k - 2)*(k - 1)**2
Let i be (-41)/((2/(4 + -3))/2). Let g = i + 41. Factor 0*s**4 - 2/3*s**5 + 0*s**2 + 2/3*s**3 + 0*s + g.
-2*s**3*(s - 1)*(s + 1)/3
Let q = 37 - 34. Factor 27*n**2 + q*n - 17 + 18*n + 2 + 9.
3*(n + 1)*(9*n - 2)
Let a(o) be the third derivative of o**7/1785 + o**6/51 + 22*o**5/85 + 80*o**4/51 + 256*o**3/51 - 6*o**2 - 2*o. Determine c, given that a(c) = 0.
-8, -2
Let c(h) be the first derivative of h**6/840 + h**5/70 - 5*h**4/56 - 23*h**3/3 - 28. Let v(n) be the third derivative of c(n). Factor v(l).
3*(l - 1)*(l + 5)/7
Let k(z) be the first derivative of -11/2*z**4 + 16*z**3 + 2/5*z**5 + 0*z + 36*z**2 + 37. Let k(i) = 0. Calculate i.
-1, 0, 6
Suppose 9*q - 107 = 1. Let o(d) = -22*d**2 + 32*d + 18. Let b(u) = 9*u**2 - 13*u - 7. Let v(l) = q*b(l) + 5*o(l). Let v(g) = 0. Calculate g.
-1, 3
Let d(u) be the second derivative of 5*u**4/12 - 190*u**3/3 + u - 89. Factor d(i).
5*i*(i - 76)
Suppose -o + 8 = o. Suppose 4*j - 60 = -4*f, -o*j + 9 = -11. Factor 0*x**3 + 74 + f*x**3 - 12*x**2 - 16*x - 2*x**2 - 66.
2*(x - 2)*(x + 1)*(5*x - 2)
Let p(s) be the third derivative of s**8/112 - 19*s**7/210 - s**6/8 + 7*s**5/60 + 141*s**2. Factor p(i).
i**2*(i - 7)*(i + 1)*(3*i - 1)
Let n(t) = 324*t - 3884. Let i be n(12). Factor 0*a - 20/7*a**i - 8/7*a**2 + 4*a**3 + 0.
-4*a**2*(a - 1)*(5*a - 2)/7
Let d(y) = -y**5 - y**4 + y**3 + y**2 + 1. Let p(n) = n**5 + 14*n**4 - 48*n**3 + 58*n**2 - 25*n - 2. Let s(m) = 2*d(m) + p(m). Factor s(h).
-h*(h - 5)**2*(h - 1)**2
Let i(r) be the second derivative of 5/2*r**3 + 0 - 3/4*r**5 - 5*r**2 + 1/6*r**