/2*j**2 + a.
j*(j - 2)/2
Let i(l) be the first derivative of -l**6/1440 + l**5/240 + l**4/32 + l**3 + 15. Let z(o) be the third derivative of i(o). Find x, given that z(x) = 0.
-1, 3
Suppose r + 5 - 1 = 5*w, r + 3*w = 12. Let v = r - 2. Factor -v*z + z**3 + 2 + 10*z + 6*z**2 + z**3.
2*(z + 1)**3
Let c(g) be the second derivative of -g**5/4 - 15*g**4/4 + 35*g**3/2 - 55*g**2/2 - 296*g. Factor c(s).
-5*(s - 1)**2*(s + 11)
Let d(t) be the first derivative of 11 + 2*t - t**5 + 38*t**2 - 43*t**2 + 5*t**3 - 2*t. Factor d(p).
-5*p*(p - 1)**2*(p + 2)
Let u = 854/3 + -282. Factor 10/3*f**2 + 0 - 4/3*f + 2/3*f**4 - u*f**3.
2*f*(f - 2)*(f - 1)**2/3
Let r(f) be the third derivative of -1/72*f**4 + 0*f - 1/9*f**3 + 1/180*f**5 + 0 + 8*f**2. Factor r(u).
(u - 2)*(u + 1)/3
Let d be (48/56)/(6/28). Let o(k) be the second derivative of -1/24*k**d + 8*k - k**2 + 0 + 1/3*k**3. Determine s so that o(s) = 0.
2
Suppose -2*t + 18 = 10. Solve -49*x**2 - 563 - x**t + 563 + 14*x**3 = 0 for x.
0, 7
Let c(b) be the second derivative of 0*b**2 + 0 + 1/3*b**3 - 2/15*b**6 + 0*b**5 - 1/21*b**7 + 1/3*b**4 + 9*b. Find u such that c(u) = 0.
-1, 0, 1
Determine p so that 6*p**2 - 5*p**3 + 331*p**4 - 329*p**4 + 13*p**3 = 0.
-3, -1, 0
Let g(m) = -21*m**2 - 23*m + 24 + 18*m**3 - 26*m**3 + 9*m**3. Let q be g(22). Suppose 2*n**q - 2*n**3 - 2*n**5 + 0 + 4/3*n - 14/3*n**4 = 0. Calculate n.
-1, 0, 2/3
Let k(x) be the first derivative of 18 + 10/3*x**3 - 15*x + 5/2*x**2. Find g such that k(g) = 0.
-3/2, 1
Let l(s) be the first derivative of 32 - 1/21*s**6 + 1/4*s**4 - 1/35*s**5 + 2/7*s - 5/14*s**2 - 1/21*s**3. Find g such that l(g) = 0.
-2, -1, 1/2, 1
Let a(j) be the third derivative of 1/720*j**6 + 0 + 0*j**4 + 19*j**2 + 0*j**3 + 0*j + 1/360*j**5. Solve a(h) = 0.
-1, 0
Determine r so that 4/9 + 2/3*r + 2/9*r**2 = 0.
-2, -1
Let j(v) = 2*v**2 + 130*v - 12. Let w(l) = l - 2. Let b(i) = j(i) - 6*w(i). Determine p, given that b(p) = 0.
-62, 0
Determine y so that 0 - 3*y + 1/2*y**2 + 2*y**3 + 1/2*y**4 = 0.
-3, -2, 0, 1
Let g(m) = 3*m**3 + 30*m**2 + 61*m + 32. Let t(o) = -11*o**3 - 120*o**2 - 247*o - 129. Let d(b) = 9*g(b) + 2*t(b). What is c in d(c) = 0?
-3, -2, -1
Let c be (-1 - -3) + (-4 - -5). Factor -5 + 5*y**3 + 15*y - 48*y**2 + 0*y**c + 33*y**2.
5*(y - 1)**3
Let m(f) = f**2 + 22*f - 46. Let u be m(-24). Let g be (u/(-15))/((19/(-10))/19). Factor -g*k**2 - 12 - 8*k.
-4*(k + 3)**2/3
Let l(s) be the third derivative of s**6/660 + 19*s**5/330 + 4*s**4/33 - 12*s**3/11 + s**2 + 15*s. Factor l(t).
2*(t - 1)*(t + 2)*(t + 18)/11
Let p(n) be the first derivative of n**5 - 275*n**4/4 - 5*n**3 + 835*n**2/2 - 550*n - 975. Solve p(l) = 0 for l.
-2, 1, 55
Determine d so that -5120 - 64*d - 1/5*d**2 = 0.
-160
Let d(y) be the third derivative of -y**8/6720 - y**7/630 + y**6/720 + y**5/30 + 11*y**4/24 + 10*y**2. Let g(u) be the second derivative of d(u). Factor g(n).
-(n - 1)*(n + 1)*(n + 4)
Let j(i) be the second derivative of i**6/75 - 13*i**5/25 + 49*i**4/30 - 8*i**3/5 + 26*i. Factor j(h).
2*h*(h - 24)*(h - 1)**2/5
Find s such that 178*s - 178*s + 45*s**5 - 220*s**4 - 400*s + 240*s**3 + 240*s**2 = 0.
-10/9, 0, 2
Let i(k) = k**4 + k**3 - k**2 - 1. Let w(q) = -3*q**5 - 6*q**4 + 6*q**2 + 6*q - 3. Let x(a) = -3*i(a) + w(a). What is b in x(b) = 0?
-2, -1, 0, 1
Let b(j) be the third derivative of j**5/30 + 3*j**4/4 + 14*j**3/3 + 21*j**2. Solve b(i) = 0 for i.
-7, -2
Let j(d) be the third derivative of d**7/21 - 71*d**6/48 + 67*d**5/4 - 3395*d**4/48 - 245*d**3/3 - 250*d**2. Solve j(o) = 0 for o.
-1/4, 4, 7
Suppose 4*s + 3*z = -0*z - 4, 12 = 2*s - 2*z. Suppose s*w = 0, 8*b - 3*b - 4*w = 0. Factor 0*d**2 + 0*d**3 - 3/7*d**4 + 0 + b*d.
-3*d**4/7
Let f be 1/(11 + -6 + 0). Let x(z) be the second derivative of 2*z + 0 + 0*z**2 + 1/6*z**4 - 1/15*z**6 + 2/3*z**3 - f*z**5. Factor x(w).
-2*w*(w - 1)*(w + 1)*(w + 2)
Suppose 0 = 3*j + 149 - 137. Let o be j/(-9)*(0 - -9). Suppose -9/2*x**5 + 6*x**3 + 15/4*x**o + 3/4 - 3/2*x - 9/2*x**2 = 0. What is x?
-1, -1/2, 1/3, 1
Let c(g) be the second derivative of g**7/63 + g**6/45 + g - 10. Factor c(b).
2*b**4*(b + 1)/3
Let c be 6/(-16) - 89*(-7)/168. Factor c + 2/3*a**2 - 4*a.
2*(a - 5)*(a - 1)/3
Factor -3*c - 33*c**3 - 29*c**3 + 9 + 65*c**3 - 9*c**2.
3*(c - 3)*(c - 1)*(c + 1)
Let o(f) = -868*f - 6064. Let m be o(-7). Factor -27/2*z**4 - 3/2 - 33*z**2 + 36*z**3 + m*z.
-3*(z - 1)**2*(3*z - 1)**2/2
Let o = -55 - -58. Find j, given that j**5 + 2*j**3 - 3*j**4 - 15*j**3 + 7*j**3 + o*j**2 + 5*j**3 = 0.
-1, 0, 1, 3
Let q(c) be the second derivative of 0 + 1/10*c**4 - 10*c + 3/10*c**3 + 3/10*c**2. Factor q(v).
3*(v + 1)*(2*v + 1)/5
Let h be (-1134)/(-495) - -13*(-72)/780. Factor -12/11*t**2 - 6/11 - 18/11*t + 6/11*t**5 + h*t**3 + 18/11*t**4.
6*(t - 1)*(t + 1)**4/11
Factor -6*m**2 - 2*m**3 + 8 + 8*m - 9*m**3 - 2*m**4 + 5*m**3 - 2*m**3.
-2*(m - 1)*(m + 1)*(m + 2)**2
Suppose -7*m + 25 = 4. Suppose -46*d**4 + 47*d**4 - 7*d**3 - m*d**2 - d + 2 + 8*d**3 = 0. What is d?
-2, -1, 1
Let q(b) be the first derivative of b**5/5 - b**4/3 - 4*b**3/3 + 2*b + 14. Let l(v) be the first derivative of q(v). Find o such that l(o) = 0.
-1, 0, 2
Let f(x) be the first derivative of 2*x**3/9 + x**2/3 - 4*x + 55. Factor f(k).
2*(k - 2)*(k + 3)/3
Let y(l) be the second derivative of 7/12*l**3 + 0 + 5/24*l**4 + 1/40*l**5 + 3/4*l**2 - 7*l. Find j such that y(j) = 0.
-3, -1
Let s be (1 - 136/(-72)) + 4/36. Factor 9/2*r**2 - 1/4*r**s + 54 - 27*r.
-(r - 6)**3/4
Suppose -14 = 9*u - 16*u. Let -3*f**4 + 17*f - 63*f**u - 16*f + 13*f + 24*f**3 + 40*f = 0. What is f?
0, 2, 3
Let h be (4/55)/((-4)/(-40)). Let a be (2/6)/((-11)/(-24)). Factor -2/11 - 12/11*l**2 + h*l**3 - 2/11*l**4 + a*l.
-2*(l - 1)**4/11
Let p be ((-2)/3)/(4/(-18)). Suppose 3*v - 2*v - 28 = -d, -p*d + v + 100 = 0. Let -d*u - 1 - 4*u**4 - 8*u**3 + 5*u**4 + 24*u**2 + 17 = 0. Calculate u.
2
Suppose -q + 1 = -1. Suppose -3*f + q*t + 25 = 0, 3*f - t + 15 = 7*f. Determine k so that 0*k**3 - 2*k**3 + 3 - k**3 - f*k + 9*k**2 - 4*k = 0.
1
Factor -29*l + 5*l**2 - 4*l**2 - 10*l - 9*l - 3*l**2.
-2*l*(l + 24)
Factor 2/3*h + 0 + 1/3*h**2.
h*(h + 2)/3
Let q(u) be the first derivative of 86436*u**5/5 - 16464*u**4 + 17248*u**3/3 - 896*u**2 + 64*u + 111. Suppose q(t) = 0. What is t?
2/21, 2/7
Let h be 0*((-35)/15)/7. Let d(f) be the third derivative of 0*f**3 - 1/210*f**7 + 0*f + f**2 + 0 + 0*f**4 + h*f**6 + 1/60*f**5. Find w, given that d(w) = 0.
-1, 0, 1
Let a = -3860 - -3864. Factor -2/5*v**3 - 1/10*v**5 + 1/5*v**2 - 2/5*v**a + 1/5 + 1/2*v.
-(v - 1)*(v + 1)**3*(v + 2)/10
Let d be ((-259)/999 + 6/(-81))/(1/(-9)). Solve 15/8*r - 15/8*r**d - 21/8*r**2 + 9/4*r**4 + 3/8 = 0 for r.
-1, -1/6, 1
Suppose -17*k + 165 = 16*k. What is q in -1/4*q + 1/2*q**4 + 1/2*q**3 - 1/4*q**k + 1/2 - q**2 = 0?
-1, 1, 2
Let a(n) be the second derivative of 0 - 7/4*n**4 + 0*n**2 + 3/2*n**3 - 17/20*n**5 + 19*n - 1/10*n**6. Let a(b) = 0. Calculate b.
-3, 0, 1/3
Suppose 86 = -5*x - 4. Let f = x + 21. Suppose -18*q**5 - 20*q**f - 4*q**4 + 22*q**5 - 15*q**2 + 3*q**2 = 0. Calculate q.
-1, 0, 3
Let k be 2*3/2*-2. Let f be (-20)/(-75)*3*(-25)/k. Solve 26/9*x + 14/9*x**3 - 8/9 - f*x**2 - 2/9*x**4 = 0.
1, 4
Determine b so that -266*b - 33/2*b**3 + 529/4*b**2 + 4 = 0.
1/66, 4
Let d(g) = -19 + 11*g - 40*g**2 + 6*g - 45*g**2 + 83*g**2. Let y be d(7). Factor -2/5*p + 2/5 - 2/5*p**y + 2/5*p**3.
2*(p - 1)**2*(p + 1)/5
Let -2/7*r**2 - 20/7*r - 6 = 0. What is r?
-7, -3
Suppose -3*m + 6*m - 9 = 0. Factor -1568*c**4 + 1569*c**4 - c + 2 - 3*c**2 - 3*c**m + 4*c**3.
(c - 1)**2*(c + 1)*(c + 2)
Let b be (232/435)/(8/3 - 2). What is u in 0*u**2 + 0 + b*u**3 + 0*u - 6/5*u**4 = 0?
0, 2/3
Solve -76*h**2 + 168 + 152 - 639*h**2 + 238*h - 10*h**4 + 2*h + 165*h**3 = 0 for h.
-1/2, 1, 8
Let r be (6 - (0 + -1))*840/(-196). Let y = r - -34. Determine o, given that -1/3*o**y + 0 - 1/3*o**5 + 0*o**3 + 0*o**2 + 0*o = 0.
-1, 0
Factor 640*m**3 + 655360*m - 4506*m**2 - 5242880 - 3*m**4 - 2*m**4 - 26214*m**2.
-5*(m - 32)**4
Let i be (-34)/(-8) - (-3)/(-12). Suppose 2*y = -2*c + 12, -5*c + c = -y - i. Factor 6*r**2 - 4 - 3*r**c - 12*r + 0*r**2 + 16.
3*(r - 2)**2
Let o be (-10)/(-6)*-2 - -4. Let d(x) = x**2 - 4*x - 10. Let j be d(6). Factor 2/3 + 2*v + j*v**2 + o*v**3.
2*(v + 1)**3/3
Solve 32/3*m**3 - 20/3*m**4 - 16/3*m**2 + 0*m + 4/3*m**5 + 