5 + v. Factor -1/5*d**2 - 3/10*d**3 + 3/10*d + t.
-(d - 1)*(d + 1)*(3*d + 2)/10
Suppose 8212*w**3 + w**5 - 16424*w**3 + 17*w**2 + 8211*w**3 - 17*w**4 = 0. What is w?
-1, 0, 1, 17
Let p(r) be the first derivative of 8*r + 2*r**2 - 2/3*r**3 + 3 - 1/4*r**4. Factor p(d).
-(d - 2)*(d + 2)**2
Factor 1/5*t - 1/5*t**3 - 4/5*t**2 + 4/5.
-(t - 1)*(t + 1)*(t + 4)/5
Let p(i) be the second derivative of -2*i**2 + 1/3*i**4 - 40*i + 0 - 1/10*i**5 + 1/3*i**3. Factor p(z).
-2*(z - 2)*(z - 1)*(z + 1)
Let h(s) be the first derivative of 40/3*s**4 - 26 - 4/15*s**5 - 800/3*s**3 + 8000/3*s**2 - 40000/3*s. Determine x so that h(x) = 0.
10
Let f(c) = 146*c + 7595. Let r be f(-52). Factor -1/2*q**2 - 2*q**5 + 0*q + 0 - 9/2*q**4 - 3*q**r.
-q**2*(q + 1)**2*(4*q + 1)/2
Let z be 2 - (3/(-1) + 8). Let s be (-9)/z - (-15)/(-10). Factor 3/4*t**3 + s - 3/4*t - 3/2*t**2.
3*(t - 2)*(t - 1)*(t + 1)/4
Let r(c) be the first derivative of c**3 - 12*c**2 + 48*c + 193. Find i such that r(i) = 0.
4
Let -24*g**3 + 12*g - 19*g**3 - 14 + 73*g**2 - 5*g**3 - 16*g**4 - 2 - 5*g**2 = 0. What is g?
-4, -1/2, 1/2, 1
Let o(v) be the first derivative of v**5/20 + v**4/8 - 7*v**3/12 - v**2 + 3*v + 111. Suppose o(i) = 0. Calculate i.
-3, -2, 1, 2
Let a = -11 - -14. Let r be a/6*4/1. Factor s**4 - s - 4*s**3 + s - 2*s**r + 3*s**3.
s**2*(s - 2)*(s + 1)
Suppose 0 = -3*u + 9, 2*u = 3*g - 5*g + 14. Determine a, given that 0*a**4 - 14*a**3 - g*a + 3*a**4 + 2 + 19*a**2 - 6 = 0.
-1/3, 1, 2
Let g = -20/13 - -217/65. Factor 3/5*u**3 + 2/5 + g*u + 2*u**2.
(u + 1)*(u + 2)*(3*u + 1)/5
Determine b, given that 15/8*b**3 + 1/8*b**2 + 19/8*b**4 + 7/8*b**5 + 0 - 1/4*b = 0.
-1, 0, 2/7
Let f be (7 - (320/30 + -9))*162/40. Solve -4/5*a**3 - 108/5*a - 36/5*a**2 - f = 0.
-3
Let l be (1 - (34/4 + -7))*-1. Solve 1/2*k**3 + 0*k + l*k**2 + 0 = 0.
-1, 0
Let j(k) = k**2 + k + 5. Let o be j(0). Suppose o*f - 20 = 0, f - 10 = 2*p - 5*p. Factor 2*w**2 + w + 2 + p - 2 + 3*w.
2*(w + 1)**2
Let h be 0 + 7 + 0 - (8 - 4). Solve -2/7*o**h + 0 - 12/7*o**2 - 18/7*o = 0 for o.
-3, 0
Let a(t) be the third derivative of -t**7/35 + 13*t**6/60 - 7*t**5/10 + 5*t**4/4 - 4*t**3/3 + 17*t**2 + 3. Factor a(j).
-2*(j - 1)**3*(3*j - 4)
Let h(m) = 48*m**3 + 88*m**2 + 52*m + 4. Let t(s) = -s**3 + s**2. Let j(k) = h(k) + 4*t(k). Solve j(u) = 0.
-1, -1/11
Suppose -5*x + 11 = -0*p + 3*p, 4*x = -3*p + 7. Suppose -x*a + 2*a = -4. Let 33 - 34 + l**2 + 0*l**a = 0. What is l?
-1, 1
Let f be 1/2 - 42/(-28). Factor 6*x**f + 3*x**3 - 6*x**2 - x**2 + x**5 + 2*x**2 + 3*x**4.
x**2*(x + 1)**3
Let a(h) be the first derivative of -h**5/20 + 3*h**4/16 + 17*h**3/12 - 39*h**2/8 + 5*h - 40. Factor a(s).
-(s - 5)*(s - 1)**2*(s + 4)/4
Let n(s) be the third derivative of s**7/1365 + s**6/30 + 193*s**5/390 + 2*s**4 + 48*s**3/13 + 318*s**2 - 1. Find c such that n(c) = 0.
-12, -1
Let c(j) be the second derivative of 17*j + 4/9*j**4 - 13/9*j**3 - 1/30*j**5 + 2*j**2 + 0. Factor c(l).
-2*(l - 6)*(l - 1)**2/3
Factor -10*r**2 - 12*r**2 + 37*r**2 + 12*r.
3*r*(5*r + 4)
Let w be (20/(-100) + (-17)/(-10))/3. Factor 0*i**2 - w*i**5 + i**3 + 0*i + 1/2*i**4 + 0.
-i**3*(i - 2)*(i + 1)/2
Suppose -8*p - 10 = -6*p + 4*x, 4*p = 5*x - 7. Let r be p/(15/(-5) - -2). What is m in -1/4*m**r - 1/8*m**4 + 0 + 1/8*m**2 + 1/4*m = 0?
-2, -1, 0, 1
Let o be 1/(-5) + (-24)/(-40). Let t = 100/7 + -458/35. Factor t*a - 2/5 + o*a**3 - 6/5*a**2.
2*(a - 1)**3/5
Let q = -13603/2 - -6802. Factor -q*b**5 + 0*b - 3/2*b**3 - 1/2*b**2 + 0 - 3/2*b**4.
-b**2*(b + 1)**3/2
Find s such that 3*s**3 + 81*s - 214*s**2 + 382*s**2 - 204*s**2 = 0.
0, 3, 9
Solve 0 + 10/9*m**2 - 10/9*m**4 - 4/9*m + 2*m**3 - 14/9*m**5 = 0 for m.
-1, 0, 2/7, 1
Determine b so that 36*b**2 - 4*b**3 - 35 + 8*b**2 + 159 + 68 - 160*b = 0.
3, 4
Let m(t) = t**2 - 17*t + 19. Let r be m(15). Let k = r - -14. Factor -8/11 + 6/11*n**2 + 0*n + 2/11*n**k.
2*(n - 1)*(n + 2)**2/11
Let j = -37 - -41. Factor m**3 - 14*m**2 + 19*m**3 - 4*m**j - 10*m**2.
-4*m**2*(m - 3)*(m - 2)
Let m(n) be the first derivative of 4*n**5/15 - 2*n**4/3 - 28*n**3/9 + 16*n**2/3 + 16*n - 189. Determine u so that m(u) = 0.
-2, -1, 2, 3
Let o = -4400 + 4402. What is p in -6/13*p**5 + 2/13*p + 2/13 - 28/13*p**3 - 12/13*p**o - 22/13*p**4 = 0?
-1, 1/3
Let p(k) be the third derivative of -k**7/525 - 3*k**6/100 + 8*k**5/25 - 13*k**4/15 + 24*k**2 + k. Determine x so that p(x) = 0.
-13, 0, 2
Suppose -3*w = -0*f - f - 6, -2*f - w + 9 = 0. Let j be (f/2)/(13/26). Factor 2/3*z + 0 + 2*z**j - 2/3*z**4 - 2*z**2.
-2*z*(z - 1)**3/3
Let -5*g**2 + 14249 + 118*g - 458*g - 20029 = 0. What is g?
-34
Factor -8/13*g**2 - 8/13*g - 2/13*g**3 + 0.
-2*g*(g + 2)**2/13
Let i(d) = 8*d**3 - 9*d**2 - 13. Let v(a) = -3*a**3 + 3*a**2 + 6. Let w(g) = 2*i(g) + 5*v(g). Determine t so that w(t) = 0.
-1, 2
Let g be ((-2)/(-6))/((-3)/(-54)). Find f such that -3*f + 5*f**3 + 0 - 2*f**3 - 2 - g*f**2 + 8 = 0.
-1, 1, 2
Let u be (-4 + 10 - 4) + 16*1. Let d be (-40)/(-6)*u/15. Factor d*v**2 + 2*v**4 - 4*v + 2/3 - 20/3*v**3.
2*(v - 1)**3*(3*v - 1)/3
Let b(q) = -q**2. Let v(a) = -15*a**2 - 800*a + 32000. Let g(d) = -20*b(d) + v(d). Find t such that g(t) = 0.
80
Factor -4*o**2 - 9*o**4 + 12*o**3 - 12*o + 4*o**4 + 9*o**4.
4*o*(o - 1)*(o + 1)*(o + 3)
Let m(o) be the first derivative of 6/7*o**2 + 0*o - 10 - 2/21*o**3. Find c, given that m(c) = 0.
0, 6
Suppose 6*j - 53 = 2*r + j, j - 19 = r. Let z = r - -14. Suppose 3*f**2 - f + z*f - f**2 + 5*f = 0. Calculate f.
-2, 0
Suppose -3*f + 61 = -4*u, 5*f - u + 5*u - 59 = 0. Suppose -5*p + 22 = d, 0 = 4*p - f - 1. Suppose 6 - 2*t**3 + 4*t**d - 6 = 0. What is t?
0, 2
Let k(t) be the first derivative of -t**6/135 - t**5/20 - t**4/18 - 16*t**3/3 - 42. Let f(s) be the third derivative of k(s). Factor f(u).
-2*(u + 2)*(4*u + 1)/3
Let -12 - 1/5*a**2 - 61/5*a = 0. Calculate a.
-60, -1
Let f(k) be the second derivative of -k**7/280 + k**6/20 - 9*k**5/40 - k**3/3 - 25*k. Let h(v) be the second derivative of f(v). Suppose h(n) = 0. Calculate n.
0, 3
Let q be (-24 - (-4290)/180)*((-20)/6 + 2). Suppose 0*v + q*v**2 - 2/9 = 0. Calculate v.
-1, 1
Let u(c) = 4*c**2 - 2*c - 6. Suppose 3*z = z - 12. Let m be 0/(-1) - (z + 11). Let d(i) = i**2 - 1. Let w(n) = m*d(n) + u(n). Factor w(g).
-(g + 1)**2
Let k(d) be the third derivative of d**8/2520 + d**7/175 + d**6/300 - 73*d**5/450 + 8*d**4/15 - 4*d**3/5 - 55*d**2 - 2*d. Find y such that k(y) = 0.
-6, 1
Let p be -7 - (3 - 1)*(-9)/6. Let c(n) = n**3 + 4*n**2. Let f be c(p). Suppose 0*v**2 + f + 0*v - 1/3*v**3 = 0. Calculate v.
0
Let s(q) be the second derivative of -q**4/54 + q**3/27 + 2*q**2/9 - 46*q. Solve s(t) = 0.
-1, 2
Suppose 16 = h + h. Suppose 0 = o + 2 - 1, -3*c + 2*o + h = 0. Factor 4*w - 2*w - 2*w**c - 8*w - 14*w - 50.
-2*(w + 5)**2
Let f(u) = -38*u**2 - 4*u + 18. Let j(m) = -6*m**2 + m + 1. Let x(b) = -f(b) + 6*j(b). Let x(k) = 0. What is k?
-6, 1
Let h(u) be the third derivative of -u**5/75 - u**4/20 + 116*u**2. Factor h(k).
-2*k*(2*k + 3)/5
Let v(j) be the second derivative of -j**6/1800 + 3*j**5/200 - j**4/15 + j**3/3 + 19*j. Let g(x) be the second derivative of v(x). Find p such that g(p) = 0.
1, 8
What is y in 3*y**2 + 304*y - 3 - 299*y - y**2 = 0?
-3, 1/2
Let w be 44/6 + 2/(-6). Suppose -3*b + 19 = w. Factor -63*q**4 + 60*q**b + 2*q**3 - 3*q**5 + q**3 + 3*q**2.
-3*q**2*(q - 1)*(q + 1)**2
Let h(n) = n**3 - 9*n**2 + 7*n + 8. Suppose -6*t = -10*t + 32. Let o be h(t). Factor 2/13*g - 2/13*g**3 + o + 0*g**2.
-2*g*(g - 1)*(g + 1)/13
Let m(x) be the third derivative of 5*x**8/336 - x**7/42 - 3*x**6/8 - 11*x**5/12 - 5*x**4/6 - 337*x**2. Suppose m(t) = 0. Calculate t.
-1, 0, 4
Suppose -3*x = u - 23, -4*u - 3*x - 193 = -222. Determine y, given that 3/2 - 3/8*y**u + 0*y = 0.
-2, 2
Let s be 0/(-3) - (-1 + 2 + -4). Factor 24*f**2 + 0 + 12*f**s - 16*f - 32 + 4*f**4 + 8*f**3.
4*(f - 1)*(f + 2)**3
Let d(i) be the third derivative of i**6/420 + i**5/70 - 3*i**4/14 + 418*i**2. What is q in d(q) = 0?
-6, 0, 3
Let d be 21/6*(-4 + 2). Let c be ((-14)/30)/d*(-3)/(-1). Factor 1/5*m + 0 + c*m**2.
m*(m + 1)/5
Let o be ((-25)/12)/((-27)/243). Let 0 + o*a**4 - 12*a**2 - 15/4*a**3 - 3*a = 0. What is a?
-2/5, 0, 1
Suppose -5*x = j - 67, 0 = 3*j + 2*x - 94 - 68. Suppose 11*v - j = 14. Factor -v*b**3 + 6*b - 6 + 3/2*b**4 + 9/2*b**2.
3*(b - 2)**2*(b - 1)*(b + 1)/2
Let g(u) be the