 a be 0*(-14 + 18)/4. Let z(u) be the second derivative of 5/33*u**3 - 1/22*u**4 - 16*u + a - 1/110*u**5 - 2/11*u**2 + 1/165*u**6. Factor z(j).
2*(j - 1)**3*(j + 2)/11
Determine h so that 400*h + 8*h**4 - 54*h**3 + 28714 - 14363 + 2*h**5 - 14351 - 140*h**2 = 0.
-5, 0, 2, 4
Suppose 0 = 5731*u - 5715*u. Let f(r) be the first derivative of -1/3*r**3 - 1/5*r**5 - 1/2*r**4 + 0*r**2 - 19 + u*r. Factor f(p).
-p**2*(p + 1)**2
Let p(y) = -y**2 - 3*y + 4. Let f be p(-3). Factor -12*x**f - 17*x**5 + 21*x**3 - 9*x**2 - 3*x**4 - 5*x**5 + 25*x**5.
3*x**2*(x - 3)*(x - 1)**2
Let s(g) be the second derivative of -g**5/40 + 40*g**4/3 - 317*g**3/3 + 316*g**2 + 905*g. Factor s(l).
-(l - 316)*(l - 2)**2/2
Suppose 11*i - 6*i = 2*m + 14, i + m = 0. Suppose 2*d = -5*v + 26, -5*d + i*d + 25 = 4*v. Solve 12*w**2 - 6*w**3 - 1 + v + 20*w - 4*w**4 + 2*w**3 + 5 = 0.
-1, 2
Suppose -1/5*h**2 - 2594/5*h - 1682209/5 = 0. Calculate h.
-1297
Let t(y) be the first derivative of -y**4/4 + 1270*y**3/3 - 200976*y**2 - 808992*y - 5425. Suppose t(l) = 0. What is l?
-2, 636
Solve -68*o**3 - 72*o**3 + 1270*o**2 - 60*o**3 - 1551*o + 225*o**3 + 468 = 0.
-52, 3/5
Let v(k) = 3*k + 0*k - 3*k**2 - 4 - 3 - k + 9*k. Let j(w) = 2*w**2 - 6*w + 4. Let t = -11 + 18. Let n(s) = t*j(s) + 4*v(s). Factor n(f).
2*f*(f + 1)
Let k = -7348 - -22060/3. Let y(i) be the first derivative of -6*i**2 - 1/4*i**4 - 20/9*i**3 - k*i - 2. Factor y(t).
-(t + 2)*(t + 4)*(3*t + 2)/3
Find i such that 28*i**2 - 32/5*i**5 - 354/5*i**3 - 16/5*i + 0 + 208/5*i**4 = 0.
0, 1/4, 2, 4
Let a be ((-25)/(-15))/(5/18) - (6 + 0). Let t(g) be the first derivative of -1/6*g**3 + 1/2*g**4 + a*g**2 + 44 + 0*g. Solve t(v) = 0 for v.
0, 1/4
Let h be (10/900)/(104/1180). Let t = h - -1/36. Factor t*c**2 - 8/13*c + 6/13.
2*(c - 3)*(c - 1)/13
Let q(b) be the third derivative of 256/3*b**3 + 37*b**2 + 0*b + 1/30*b**5 + 0 - 8/3*b**4. Determine n so that q(n) = 0.
16
Let a = 1/3243261 - -1009735207/165406311. Let m = a + -100/17. Factor -2/9 - m*t**2 + 4/9*t.
-2*(t - 1)**2/9
Let z = -3878 + 3880. Let k(c) be the first derivative of 5/6*c**6 + 5/4*c**4 - z*c**5 - 14 + 0*c**3 + 0*c**2 + 0*c. Factor k(f).
5*f**3*(f - 1)**2
Let z be (3 - 103)/(-24 + 26 - (-4)/((-8)/15)). Factor -2/11*k**5 - 40/11*k**4 - 32/11 - z*k**2 - 130/11*k - 140/11*k**3.
-2*(k + 1)**4*(k + 16)/11
Let r be 19 + -11 + (5 - 11). Let j(p) be the second derivative of 0 + 0*p**5 - 1/18*p**4 + 1/6*p**r + 1/90*p**6 - 14*p + 0*p**3. Find l such that j(l) = 0.
-1, 1
Let l(y) be the second derivative of y**6/25 + 13*y**5/50 - 89*y**4/30 - 241*y**3/15 - 14*y**2 - 9259*y. Let l(t) = 0. Calculate t.
-7, -2, -1/3, 5
Let -2*r**4 - 89*r**2 - 8*r + 71*r**2 - 18 + 12*r**3 + 48 - 6 = 0. What is r?
-1, 2, 3
Let d = 108 - 105. Factor d*j**2 - 2*j**3 + 13*j - 9 - 1 - 5 + j**3.
-(j - 5)*(j - 1)*(j + 3)
Let -2/9*m**3 + 92/9 + 88/9*m**2 + 182/9*m = 0. Calculate m.
-1, 46
Let c(g) = g**2 + 14*g + 49. Let l be c(-8). Let t be l/1 - (2 - 3). Determine s so that 0 - 2/15*s**4 - 4/15*s - 8/15*s**3 - 2/3*s**t = 0.
-2, -1, 0
Let f(x) be the first derivative of x**5/30 + 28*x**4/3 + 3136*x**3/3 - 125*x**2 - 65. Let s(a) be the second derivative of f(a). Factor s(k).
2*(k + 56)**2
Let s be 3*14*-18*13/(-468). Let o be (-74)/(-259)*s/12. Suppose 1/4*h**2 + 1/4 + o*h = 0. Calculate h.
-1
Suppose -81*h + 77*h - 10 = -n, 0 = -3*n - 3*h. Factor 0 + 5/6*o**3 - 5/6*o + 1/6*o**4 - 1/6*o**n.
o*(o - 1)*(o + 1)*(o + 5)/6
Let r be (-4)/6 + (-14)/(-3). Let m(z) = 2*z**2 - 127*z - 984. Let d be m(-7). Factor 0*i + r*i**2 + 12/7*i**d - 16/7.
4*(i + 1)*(i + 2)*(3*i - 2)/7
Let d be (-248)/(-12)*3/2. Factor 6 - d*j**2 - 80*j**3 - 17*j**2 - 78*j**4 - 3*j - 21*j**5 - 22*j**3 + 6*j.
-3*(j + 1)**4*(7*j - 2)
Let m(g) be the first derivative of -3/35*g**5 + 4/7*g**4 + 0*g**2 - 1/42*g**6 + 0*g - 4/7*g**3 + 54. What is o in m(o) = 0?
-6, 0, 1, 2
Let m = -465857 + 465859. Factor 0*a + 0*a**m - 10/3*a**4 + 4*a**3 + 2/3*a**5 + 0.
2*a**3*(a - 3)*(a - 2)/3
Factor 24*t**2 - 20*t**2 - 28*t**2 + 22*t**2 - 6832*t - 5834528.
-2*(t + 1708)**2
Let o(l) = 2*l**2 + 10*l - 10. Suppose -13 + 21 = 4*b. Suppose 6*k = k - 20, -2*m - 12 = 2*k. Let c(p) = 2*p. Let y(n) = b*o(n) + m*c(n). Factor y(v).
4*(v - 1)*(v + 5)
Let t(i) = -2*i**2 - 14*i - 341. Let n(l) = -l**2 - 3*l - 170. Let u(v) = 13*n(v) - 6*t(v). Suppose u(m) = 0. Calculate m.
4, 41
Let j(d) = 852*d + 4262. Let n be j(-5). Factor 2/9*q**n + 4/3*q - 14/9.
2*(q - 1)*(q + 7)/9
Let q(d) be the second derivative of d**7/42 - 13*d**6/15 + 45*d**5/4 - 175*d**4/3 + 250*d**3/3 + 959*d. Factor q(g).
g*(g - 10)**2*(g - 5)*(g - 1)
Let j(s) be the third derivative of -s**6/8 - 341*s**5/12 + 95*s**4/4 + 84*s**2 + 4*s. Find a, given that j(a) = 0.
-114, 0, 1/3
Let w = -62 - -86. Suppose 3*x = x + w. Solve 15 + x - 15 + 30*a + 5*a**2 + 13 = 0 for a.
-5, -1
Let q(c) be the third derivative of -2197*c**7/252 - 845*c**6/144 + 91*c**5/4 + 165*c**4/4 + 30*c**3 + 2*c**2 - 88. Let q(p) = 0. What is p?
-6/13, 1
Let v(z) = 14*z**2 - 660*z - 674. Let f(j) = 10*j**2 - 664*j - 674. Let i(q) = 4*f(q) - 3*v(q). Find w such that i(w) = 0.
-337, -1
Let m(a) be the first derivative of 5*a**4/4 - 115*a**3/3 + 355*a**2/2 + 475*a + 288. What is g in m(g) = 0?
-1, 5, 19
Let y be (-15*5/(-25))/(2/8*3). Let r(m) be the third derivative of 1/40*m**y - 1/15*m**3 + 0*m + 17*m**2 - 1/300*m**5 + 0. Determine p, given that r(p) = 0.
1, 2
Suppose -12*q + 18*q - 20*q = 0. Factor -2/3*n**3 + 1/3*n**5 + 0 + 1/3*n + 0*n**4 + q*n**2.
n*(n - 1)**2*(n + 1)**2/3
Let o(r) = 28*r**2 - 77*r - 119. Let h(a) = 10*a**2 - 26*a - 42. Let f(n) = -17*h(n) + 6*o(n). Factor f(y).
-2*y*(y + 10)
Let z = 560 + -481. Suppose 71*h - z*h + 40 = 0. What is m in 0*m - 4/7*m**2 + 0 + 4/7*m**h - 2/7*m**4 - 10/7*m**3 = 0?
-1, -1/2, 0, 2
Let m(t) be the second derivative of 1/16*t**3 - 5/8*t**2 + 1/16*t**4 + 1/160*t**5 + 49*t + 0. Factor m(l).
(l - 1)*(l + 2)*(l + 5)/8
Let o(m) = m**2 - 5339*m - 64212. Let x be o(-12). Factor -60/7*k + 3/7*k**3 + 3/7*k**2 + x.
3*k*(k - 4)*(k + 5)/7
Factor 2/9*g**2 - 200/3 - 40/9*g.
2*(g - 30)*(g + 10)/9
What is a in -40*a + 1/3*a**2 + 1391/3 = 0?
13, 107
Factor 2700/7 + 3/7*v**3 + 360*v - 177/7*v**2.
3*(v - 30)**2*(v + 1)/7
Suppose 0 - 24/23*c**2 + 2/23*c**3 - 26/23*c = 0. Calculate c.
-1, 0, 13
Let j be 253/198 + (-22 - (-3970)/180). Determine m, given that 59/2*m**2 - 52/3*m**3 - 35/3*m + 8/3*m**4 + j = 0.
1/4, 2, 4
Suppose 201*a - 75 = 196*a. Let w be ((-648)/a)/(-9) - -3. What is g in -w*g**4 + 138/5*g**3 + 6*g**2 + 3/5*g**5 - 75 - 105*g = 0?
-1, 5
Factor -2/3*a**2 + 0 + 630*a.
-2*a*(a - 945)/3
Let z(r) be the first derivative of r**4 + 212*r**3/3 + 304*r**2 + 400*r + 4752. Find t, given that z(t) = 0.
-50, -2, -1
Let y(v) be the second derivative of -7*v**6/15 - 117*v**5/10 + 220*v**4/3 - 132*v**3 + 80*v**2 + 4919*v. Suppose y(t) = 0. What is t?
-20, 2/7, 1, 2
Let b(s) = -10*s**2 + 102*s - 204. Let v(q) = -14*q**2 + 100*q - 204. Let t(m) = -6*b(m) + 4*v(m). Let t(i) = 0. Calculate i.
2, 51
Let p(k) be the first derivative of -9*k**4/4 - 329*k**3 - 327*k**2 - 1456. Factor p(h).
-3*h*(h + 109)*(3*h + 2)
Let g(n) = -2*n - 7. Let m be g(-9). Let l(q) = 3*q - 13. Let a be l(m). Factor 30*u**2 - 5*u**5 + a*u**2 - 22*u + 45 - 83*u - 15*u**4 + 30*u**3.
-5*(u - 1)**3*(u + 3)**2
Let j(o) be the second derivative of -2*o**6/15 + 93*o**5/5 + 3*o - 757. Factor j(g).
-4*g**3*(g - 93)
Determine c so that -2402*c + 5438*c - 1173*c - 372 - 1503*c**2 + 12*c**3 = 0.
1/4, 1, 124
Let z(y) be the second derivative of y**6/120 - y**5/80 - y**4/2 - 3*y**3/2 + 200*y + 3. What is c in z(c) = 0?
-3, -2, 0, 6
Let c(k) be the third derivative of -k**6/210 - k**5/105 + 7*k**4/6 + 14*k**3/3 - 2179*k**2. Suppose c(n) = 0. Calculate n.
-7, -1, 7
Let j(s) be the third derivative of 13*s**2 + 0 + 7/390*s**6 + 0*s + 12/13*s**3 + 61/390*s**5 + 7/13*s**4 + 1/1365*s**7. Factor j(v).
2*(v + 1)**2*(v + 6)**2/13
Let r(x) be the first derivative of x**4/28 + 15*x**3/14 - 24*x**2/7 + 13*x + 10. Let v(c) be the first derivative of r(c). Suppose v(f) = 0. Calculate f.
-16, 1
Let i(l) be the third derivative of -l**8/5040 + l**5/20 + 19*l**3/6 - 56*l**2. Let q(w) be the third derivative of i(w). Suppose q(d) = 0. What is d?
0
Let u(d) be the second derivative of -d**7/70 + 3*