33 + 378*y**2/11 + 5*y - 59. What is l in v(l) = 0?
-7, 54
Let u(a) be the second derivative of 1/6*a**4 + 529*a**2 - 230*a - 46/3*a**3 + 0. Factor u(p).
2*(p - 23)**2
Let t(v) be the first derivative of 5*v**4/12 + 10*v**3/3 + 15*v**2/2 - 101*v + 93. Let b(h) be the first derivative of t(h). Factor b(s).
5*(s + 1)*(s + 3)
Let q(g) = -17*g**4 - 484*g**3 - 5410*g**2 - 970*g + 2. Let w(o) = 88*o**4 + 2419*o**3 + 27049*o**2 + 4851*o - 11. Let p(h) = 11*q(h) + 2*w(h). Factor p(v).
-v*(v + 22)**2*(11*v + 2)
Factor 112/3*i - 106 - 2/3*i**2.
-2*(i - 53)*(i - 3)/3
Let k(p) be the first derivative of p**3 - 1203*p**2/2 - 2418*p + 1604. Let k(d) = 0. What is d?
-2, 403
Let j be (36/(-54))/(25/(-20) + (-952)/(-864)). Suppose 6*h**3 + 0*h**4 + 3*h**2 - j*h - 3/2*h**5 - 3 = 0. What is h?
-1, 1, 2
Let d = -501 - -503. Factor 29160 - 4382*p - 5*p**3 - 478*p + 313*p**2 - 43*p**d.
-5*(p - 18)**3
Let x(o) be the first derivative of -o**6/180 - 2*o**5/15 + 5*o**4/3 + o**3 - 53. Let q(w) be the third derivative of x(w). Find d, given that q(d) = 0.
-10, 2
Let y be (26/8)/(5/(-80)*-2). Let w = y - 22. Let -2 - 8*g**3 + 170*g - 162*g - w*g**4 + 6 = 0. Calculate g.
-1, 1
Let -2/11*b**2 - 24/11*b + 0 = 0. What is b?
-12, 0
Solve 0 - 145/9*p**2 - 146/9*p + 1/9*p**3 = 0.
-1, 0, 146
Let i be -1*((-8)/(-6))/((-3)/36). Find o such that -49385 + 4*o**5 - i*o**3 + 49385 = 0.
-2, 0, 2
Let h(c) be the third derivative of -c**4/2 - 6*c**3 - 200*c**2. Let b be h(-3). Factor -16/3*x - 2/3*x**2 + b.
-2*x*(x + 8)/3
Suppose 5852 = 5*d + 4*h - 6*h, -2*d + 2360 = 4*h. Factor d*a**2 - 7*a**3 - 589*a**2 + a**5 - 589*a**2.
a**2*(a - 3)*(a + 1)*(a + 2)
Suppose l + 106 = 3*l. Suppose -169*p + 192*p = 46. Find i such that -l*i - p*i**3 + 0*i**3 + 54*i + i**3 - i**2 + 1 = 0.
-1, 1
Let c(u) = u**3 - 3*u - 8. Let l be c(4). Let -16*h**2 + 4*h**4 + 48*h**3 - 48*h - l + 43*h**2 + 13*h**2 = 0. What is h?
-11, -1, 1
Suppose -97*b - 905 = -278*b. Let f(v) be the first derivative of 3/2*v**4 + 6*v**2 - 16 + 4*v + 13/3*v**3 + 1/5*v**b. Let f(q) = 0. Calculate q.
-2, -1
Let c(i) be the third derivative of i**7/420 - i**6/60 - i**5/15 + 14*i**3 - 30*i**2 + 1. Let y(h) be the first derivative of c(h). Let y(p) = 0. What is p?
-1, 0, 4
Suppose a + 4 = 3*a - 0*a. Let i(z) be the second derivative of 0 + 0*z**a + 0*z**3 + 5/6*z**4 + 10*z + 1/10*z**5. Factor i(c).
2*c**2*(c + 5)
Let h be 22/8 + -1 - 49/(-196). Find c such that -2*c**h + 104*c - 512 + 73*c - 113*c = 0.
16
Let j(u) be the third derivative of -u**6/120 - 14*u**5/5 + 113*u**4/8 - 85*u**3/3 - 1195*u**2. Determine w so that j(w) = 0.
-170, 1
Let u(s) be the second derivative of -6*s**7/7 + 10*s**6/3 + 1869*s**5/5 - 1119*s**4 + 2104*s**3/3 + 840*s**2 + 2*s + 548. Find z such that u(z) = 0.
-14, -2/9, 1, 15
Let g be 2/(1/(-3) + 1). Suppose u + 4*l + 15 = -0*l, 4*u + 60 = -g*l. Let x(d) = -d. Let k(m) = -5*m**2 - 5*m. Let y(j) = u*x(j) - k(j). Factor y(t).
5*t*(t + 4)
Suppose 412 + 23 = 141*h - 270. Let z(b) be the first derivative of 18*b**4 + 388/3*b**3 + 4/5*b**h + 38 + 256*b + 288*b**2. Factor z(q).
4*(q + 1)**2*(q + 8)**2
Let l be 168 + -181 - 146/(-10). Let m(w) be the first derivative of 8/5*w**2 - 13 + l*w + 2/5*w**3. Solve m(r) = 0.
-2, -2/3
Suppose 0 = -11*b + 310 + 152. Factor 4*t**2 + b*t - 10*t**3 - 4*t - 10*t - 2*t**2 - 18*t - 2*t**4.
-2*t*(t - 1)*(t + 1)*(t + 5)
Suppose 150 = -37*w - 109. Let q be (-75)/(-30)*w/(1820/(-64)). Determine n so that -14/13*n**2 + q + 24/13*n = 0.
-2/7, 2
Let z(s) be the third derivative of -8/7*s**3 + 0 + 242*s**2 + 19/84*s**4 - 1/420*s**6 + 1/35*s**5 + 0*s. Factor z(m).
-2*(m - 8)*(m - 1)*(m + 3)/7
Suppose -2*v = -3*u + 566, -2*v = -v - 2. Factor 28*z**2 + 12 - 14*z + 48*z + 188*z**5 - u*z**5 - 8*z**4.
-2*(z - 2)*(z + 1)**3*(z + 3)
Let l(w) = -2*w**2 + 7*w - 1. Let t be l(2). Let d be (3 - (-1 + 4)) + t/10. Let 1/2 + 3/2*r + d*r**3 + 3/2*r**2 = 0. Calculate r.
-1
Let x(o) be the second derivative of 4*o**3 - 1/1980*o**6 + 0 + 0*o**2 - 1/110*o**5 - 3/44*o**4 - 3*o. Let y(i) be the second derivative of x(i). Factor y(d).
-2*(d + 3)**2/11
Let w(i) = -60*i**3 + 302*i**2 - 15*i + 27. Let h be w(5). Factor h - 3/4*k - 1/8*k**2.
-(k - 2)*(k + 8)/8
Factor 1/2*n**4 + 0 + 48*n**2 + 0*n - 11*n**3.
n**2*(n - 16)*(n - 6)/2
Let o(q) be the first derivative of q**6 + 56*q**5 - 1463*q**4/6 + 1220*q**3/3 - 332*q**2 + 400*q/3 - 2626. Solve o(m) = 0 for m.
-50, 2/3, 1
Let g(v) = v**2 - v - 70. Let c be g(9). Factor -12*h - 4*h**2 + 5*h**2 + 3*h**c + 4*h.
4*h*(h - 2)
Let v(f) be the third derivative of -f**6/200 - 13*f**5/20 + 75*f**4/4 - f**2 + 458. Factor v(q).
-3*q*(q - 10)*(q + 75)/5
Let o = 135479/105 - 27032/15. Let c = o + 512. Factor 2/7 - 2/7*w**2 + c*w - 1/7*w**3.
-(w - 1)*(w + 1)*(w + 2)/7
Let h(m) be the third derivative of 11/40*m**6 + 0*m**3 - 3*m**2 - 9/112*m**8 - 4*m - 1/4*m**4 + 3/20*m**5 + 0 - 3/70*m**7. What is g in h(g) = 0?
-1, -2/3, 0, 1/3, 1
Let g be (30/42)/((-40)/(-16)) - 3/(-21). Factor -9/7*p - g*p**3 - 3/7 - 9/7*p**2.
-3*(p + 1)**3/7
Let f(a) be the first derivative of -2*a**6/3 + 40*a**5 - 460*a**4 - 16160*a**3/3 - 17920*a**2 - 25088*a - 566. Factor f(b).
-4*(b - 28)**2*(b + 2)**3
Let c(b) be the first derivative of b**4/42 - 4*b**3/21 + 4*b**2/7 + 23*b + 7. Let w(t) be the first derivative of c(t). Suppose w(a) = 0. What is a?
2
Let s(u) = -2*u**2 - 32*u - 28. Let p be s(-15). Let c(j) be the second derivative of 1/3*j**3 - 1/16*j**4 - j + 0 - 1/2*j**p. Factor c(h).
-(h - 2)*(3*h - 2)/4
Let w(v) = -24*v**2 + 33*v + 78. Let n(t) = t + 38. Let j be n(-36). Let c(a) = -7*a**2 + 11*a + 26. Let r(g) = j*w(g) - 7*c(g). Solve r(x) = 0 for x.
-2, 13
Suppose -4689 + 4647 = -k - 3*y, 0 = -k - y + 14. Let k + 2*r + 2/3*r**2 = 0. Calculate r.
-3, 0
Suppose 3 = -448*o - 1 + 4. Determine g so that 20/3*g**2 + o*g + 0 + 5/3*g**4 + 20/3*g**3 = 0.
-2, 0
Let b(c) = c**3 + 6*c**2 - 4. Let s(p) = -3*p**3 - 24*p**2 + 15. Let d be (4 - 12)*3/(-6). Let h(y) = d*s(y) + 15*b(y). Solve h(o) = 0 for o.
0, 2
Let q = 877 + -909. Let w be (q/14 - -2) + (-117)/(-189). Determine k so that -1/3*k**5 + 1/3*k**4 + 1/3 + 2/3*k**3 - w*k - 2/3*k**2 = 0.
-1, 1
Let t = -4823/25 - -23467/100. Determine q so that -42*q + 1/4*q**5 - 36 + t*q**3 + 25/4*q**4 + 119/4*q**2 = 0.
-12, -1, 1
Let d = -86458/35 - -2470. Let z = 121/70 + d. Determine v so that -v + v**3 + z + 1/2*v**4 - 2*v**2 = 0.
-3, -1, 1
Let k be 2/(-6) + 806/78. Let r be 1*k/(-4)*(-7)/14. Factor -r*c**4 + 0 - 1/4*c**5 + 0*c - c**2 - 2*c**3.
-c**2*(c + 1)*(c + 2)**2/4
Let w(d) be the second derivative of -d**4/27 + 100*d**3/27 + 34*d**2/3 - 2162*d. Solve w(y) = 0 for y.
-1, 51
Let x(a) be the first derivative of -a**4/24 - 4*a**3/9 + 3*a**2/4 - 3510. Factor x(g).
-g*(g - 1)*(g + 9)/6
Let q(c) be the second derivative of c**5/160 - c**4/4 + 55*c**3/16 - 121*c**2/8 + 530*c. Suppose q(d) = 0. What is d?
2, 11
Let n(x) be the third derivative of x**6/30 + 19*x**5/15 + 8*x**4/3 - 24*x**3 + 12*x**2 - 80*x. Factor n(r).
4*(r - 1)*(r + 2)*(r + 18)
Let k be (-9)/(-21) - 8/(-14). Let x(f) = 3*f**2 - 21*f + 45. Suppose 7*o = 126 - 105. Let v(a) = -a + 1. Let n(l) = k*x(l) + o*v(l). Let n(s) = 0. Calculate s.
4
Let a be 2*(3/3)/60. Let w(b) be the third derivative of -1/60*b**6 + 0 - 11*b**2 + a*b**5 + 0*b + 0*b**3 - 1/105*b**7 + 1/12*b**4. Factor w(o).
-2*o*(o - 1)*(o + 1)**2
Let m(i) be the third derivative of -i**7/840 - i**6/48 + 37*i**5/240 - 13*i**4/48 + 730*i**2. Determine g, given that m(g) = 0.
-13, 0, 1, 2
Suppose 12*k + 76 = -3224. Let r = k - -277. Find o such that 0 - 4/7*o**r - 2/7*o - 2/7*o**3 = 0.
-1, 0
Let f be (-56)/(-7) - (-203)/(-28) - ((-117)/(-4))/(-13). Suppose -8/13 + 10/13*c**4 - 2/13*c**5 - 2/13*c**2 - 14/13*c**f + 16/13*c = 0. What is c?
-1, 1, 2
Let d(x) = 20*x**5 - 100*x**4 - 204*x**3 - 116*x**2. Let f(n) = -18*n**5 + 100*n**4 + 205*n**3 + 115*n**2. Let y(u) = -7*d(u) - 8*f(u). Solve y(h) = 0.
-1, 0, 27
Determine z so that 2/3*z**2 + 6 - 7*z + 1/3*z**3 = 0.
-6, 1, 3
Suppose -116 = -3*b + c, -21 = c - 25. Let x(j) be the third derivative of 1/900*j**6 + 0*j**3 + 0*j**4 + b*j**2 - 1/90*j**5 + 0*j + 0. Factor x(z).
2*z**2*(z - 5)/15
Suppose -305229*o - 6 = -305232*o. Let -2*h - 1/4*h**o - 4 = 0. What is h?
-4
Factor -22162572/11*k**2 + 20079290232/11*k + 10