*j. Factor u(m).
-2*(m - 30)*(m - 1)*(m + 1)
Suppose 11*l - 2*l = 2*l. Let v(o) be the third derivative of 5/6*o**4 + l*o + 0 + 1/15*o**5 + 8/3*o**3 - 11*o**2. Suppose v(y) = 0. What is y?
-4, -1
Let j(i) = i**3 + 6*i**2 - 5*i + 10. Let l be j(-5). Solve -74*k - 3*k**3 - 166*k - 320 - l*k**2 - 2*k**3 = 0.
-4
Let d = -787 - -2362/3. Factor 2/3 - d*i**2 - 1/3*i.
-(i - 1)*(i + 2)/3
Let g(v) = -v**2 + 19*v + 24. Let q be g(20). Factor 2*n**4 - 2*n**4 + 5*n**5 - 8*n**q - 2*n**4.
5*n**4*(n - 2)
Suppose -2*v - 39 = 5*a, 10*a = 5*a + v - 48. Let i be (-3)/9 + (-21)/a. Solve 3*r**3 + r**3 - 6*r**i + 6 - 3*r - r**3 = 0 for r.
-1, 1, 2
Let d = -962 + 964. Let n(o) be the first derivative of 0*o**d - 1/12*o**4 + 0*o + 2/9*o**3 - 1. Determine x, given that n(x) = 0.
0, 2
Let w(h) be the third derivative of -h**5/15 - 35*h**4/3 + 624*h**2. Factor w(g).
-4*g*(g + 70)
Let r(g) = g**2 - 57*g + 115. Let q be r(55). Let o(m) be the third derivative of 1/12*m**4 + 0*m**3 + 0 + 1/30*m**q - 5*m**2 + 0*m. Factor o(u).
2*u*(u + 1)
Let i(v) = 2*v**3 - 3*v**2 + 2. Let d be i(2). Suppose -14*w + 11*w + 9 = 0. Factor -6*s - 3*s**3 + w*s - d*s + 9*s**2 + 3*s.
-3*s*(s - 2)*(s - 1)
Suppose 42 = 4*h + 3*h. Let x(n) = -3*n**3 - 78*n**2 - 2*n - 49. Let m be x(-26). Find l such that 1 - 9/2*l + h*l**2 - 5/2*l**m = 0.
2/5, 1
Let n(w) be the second derivative of 0 - 2*w + 1/5*w**2 + 17/75*w**6 - 14/25*w**5 + 11/15*w**4 - 4/105*w**7 - 8/15*w**3. Suppose n(j) = 0. What is j?
1/4, 1
Let o(q) be the second derivative of -q**6/45 + q**5/15 - 129*q. Solve o(f) = 0 for f.
0, 2
Let s(v) be the second derivative of 0 + 1/21*v**7 + 0*v**2 + 0*v**3 - 1/24*v**4 + 1/20*v**5 + 7/60*v**6 - 4*v. Let s(g) = 0. Calculate g.
-1, 0, 1/4
Let c(z) = -30*z**4 + 7*z**3 + 88*z**2 - 71*z + 12. Let w(s) = 360*s**4 - 85*s**3 - 1055*s**2 + 850*s - 145. Let o(l) = -25*c(l) - 2*w(l). Factor o(n).
5*(n - 1)**2*(n + 2)*(6*n - 1)
Let u(d) = -d**3 + d**2 - d. Let m(w) = w**3 + 19*w**2 - 31*w + 16. Let z(k) = -m(k) - 5*u(k). Find n, given that z(n) = 0.
1, 4
Let h(c) = -7*c**2 + 169*c + 306. Let i(x) = 5*x**2 - 167*x - 306. Let m(o) = -4*h(o) - 5*i(o). Factor m(z).
3*(z + 2)*(z + 51)
Let o(j) be the third derivative of -1/12*j**5 + 15*j**2 - 5/168*j**8 + 0*j**3 + 0*j**6 + 0*j + 0*j**4 + 1/14*j**7 + 0. Let o(n) = 0. What is n?
-1/2, 0, 1
Let j(h) be the third derivative of h**6/780 + h**5/26 + 25*h**4/52 + 125*h**3/39 + 74*h**2 + h. Determine y, given that j(y) = 0.
-5
Let o(t) = 5*t**2 + 10 - 2*t**3 - 5*t**3 + 6*t**3. Let h be o(5). Factor -h*i**3 - 4*i - 5*i**2 + 3*i**3 + 3*i - 3*i**4.
-i*(i + 1)**2*(3*i + 1)
Let f(t) = t**2 + t + 1. Let x(a) = 4*a**2 - 8*a - 21. Let d(q) = -3*f(q) + x(q). Let l be d(13). Factor 2/3 - 4/9*s - 2/9*s**l.
-2*(s - 1)*(s + 3)/9
Let z = 11 + -10. Let w be 56/16*((-6)/14 + z). Factor -4/3 - u**w + 1/6*u**3 + 2*u.
(u - 2)**3/6
Suppose 181*b - 123*b - 174 = 0. Factor 2/5*z**4 - 4/5*z**2 + 2/5*z**b + 0 + 0*z.
2*z**2*(z - 1)*(z + 2)/5
Let l(r) = -r**2 + 32*r - 35. Let a(f) = -4*f**2 + 97*f - 107. Let q(t) = 2*a(t) - 7*l(t). Find j such that q(j) = 0.
-31, 1
Let p(w) be the third derivative of 4*w**7/1365 + 67*w**6/780 - 17*w**5/390 + w**2 + 120*w. Factor p(j).
2*j**2*(j + 17)*(4*j - 1)/13
Let u(k) be the first derivative of 32/9*k - 10/9*k**3 - 2/45*k**5 - 8/9*k**2 + 4/9*k**4 + 19. Let u(l) = 0. Calculate l.
-1, 1, 4
Let g = 1617 - 1614. Factor 2/13 + 2/13*c**g - 2/13*c**2 - 2/13*c.
2*(c - 1)**2*(c + 1)/13
Let z(v) be the third derivative of 0*v + 1/630*v**7 + 1/120*v**6 + 8*v**2 + 1/180*v**5 - 1/24*v**4 - 1/9*v**3 + 0. Factor z(n).
(n - 1)*(n + 1)**2*(n + 2)/3
Let d(m) be the first derivative of -2/21*m**3 + 1/70*m**5 + 4*m - 1/42*m**4 + 0*m**2 + 1. Let s(z) be the first derivative of d(z). Factor s(v).
2*v*(v - 2)*(v + 1)/7
Let p(i) = -7*i**3 - 31*i**2 - 21*i - 7. Let s = -63 - -60. Let g(u) = 3*u**3 + 16*u**2 + 11*u + 4. Let m(f) = s*p(f) - 5*g(f). Factor m(r).
(r + 1)**2*(6*r + 1)
Let r(p) be the first derivative of -4*p**3/9 + 464*p**2/3 - 53824*p/3 + 187. Factor r(y).
-4*(y - 116)**2/3
Let g(y) be the first derivative of y**8/420 + y**7/70 + y**6/30 + y**5/30 + 19*y**3/3 - 1. Let l(p) be the third derivative of g(p). Solve l(o) = 0 for o.
-1, 0
Suppose 25*j - 8*j + 29*j = 0. Suppose 5*x - 3*t = 27, 9 = x - t + 2. Factor -2/7*s**x - 8/7 + j*s + 6/7*s**2.
-2*(s - 2)**2*(s + 1)/7
Let f(p) = -2*p**4 + p**3 - p**2 - 19*p + 11. Let l(g) = -g**4 - g**2 - 9*g + 5. Let m(v) = -3*f(v) + 5*l(v). Factor m(x).
(x - 2)**2*(x - 1)*(x + 2)
Let i(u) be the second derivative of u**5/150 + u**4/9 + 17*u**3/45 + 8*u**2/15 - 102*u. What is g in i(g) = 0?
-8, -1
Let k(a) be the third derivative of 1/240*a**6 + 3*a**2 + 1/4*a**3 + 0*a - 1/40*a**5 + 0 - 1/48*a**4. Factor k(n).
(n - 3)*(n - 1)*(n + 1)/2
Suppose -34 = 11*s - 12. Let z be ((-70)/6)/7*s/5. What is j in 4/3 - 2/3*j**3 + z*j - 4/3*j**2 = 0?
-2, -1, 1
Let t be (-1)/(-54)*1764/(-48). Let l = -1/72 - t. Factor -4/9 + l*o - 2/9*o**2.
-2*(o - 2)*(o - 1)/9
Let l(g) = -2*g - 9. Let u be l(-6). Suppose -22 = -u*j + 2. Let z(y) = -4*y**2 + 4*y + 8. Let s(h) = h**2 - h - 3. Let x(q) = j*s(q) + 3*z(q). Solve x(c) = 0.
0, 1
Let n be (-1)/15*(33 + -43). Solve -8*h + n*h**2 + 24 = 0 for h.
6
Let z(h) = h**4 + h**3 + h**2 + 3*h + 1. Let c(a) = 9*a**4 + 40*a**3 + 23*a**2 - 12*a - 2. Let q(f) = -3*c(f) - 6*z(f). Determine l so that q(l) = 0.
-3, -1, 0, 2/11
Let v(g) = 70*g**2 - 12815*g - 1373880. Let a(o) = 11*o**2 - 2136*o - 228980. Let r(w) = 25*a(w) - 4*v(w). Factor r(m).
-5*(m + 214)**2
Let w = 427 - 422. Let p(l) be the third derivative of -1/24*l**4 + 0*l + 0 + 1/120*l**6 - l**2 + 0*l**w + 0*l**3. What is d in p(d) = 0?
-1, 0, 1
Let h(t) be the first derivative of -8/21*t**3 - 7 + 1/7*t**2 + 0*t - 5/14*t**4. What is q in h(q) = 0?
-1, 0, 1/5
Let u be (-8)/12 + (-16)/(-6). Let 13 - 20*v**u - 5*v**3 + 9 - 32 + 10*v**3 + 25*v = 0. What is v?
1, 2
Let t(m) = 12*m - 5. Let w be t(2). Suppose 0 + w = 5*r + 4*u, 4*u - 7 = -r. Factor -2/3*f**r + 1/3*f**2 + 0 + 2/3*f - 1/3*f**4.
-f*(f - 1)*(f + 1)*(f + 2)/3
Let m = 199 - 199. Let v(c) be the third derivative of 1/80*c**6 + m*c**3 - 4*c**2 + 1/1344*c**8 - 1/60*c**5 - 1/210*c**7 + 0*c + 0 + 1/96*c**4. Factor v(u).
u*(u - 1)**4/4
Let y(f) be the first derivative of 2/39*f**3 - 1/26*f**4 - 45 + 1/13*f**2 - 2/13*f. Find b, given that y(b) = 0.
-1, 1
Let c(n) = n**4 + 28*n**3 - 52*n**2 - 4*n - 4. Let s(p) = -3*p**4 - 57*p**3 + 105*p**2 + 9*p + 9. Let w(y) = 9*c(y) + 4*s(y). Find r, given that w(r) = 0.
0, 4
Let m(w) be the third derivative of 0*w**4 - 1/735*w**7 + 0*w**3 - 3*w**2 - 6 + 1/210*w**5 + 0*w**6 + 0*w. Determine g, given that m(g) = 0.
-1, 0, 1
Let w(j) be the first derivative of -j**3/9 - 5*j**2/6 - 2*j + 20. Let w(i) = 0. What is i?
-3, -2
Let i be 105*(-18)/(-360) + 2/(-8). Let r(k) be the first derivative of 0*k**3 - 4/15*k**i + 3 + 1/9*k**6 + 1/6*k**4 + 0*k + 0*k**2. Factor r(g).
2*g**3*(g - 1)**2/3
Let j(n) be the first derivative of -2*n**3/3 + 6*n**2 + 32*n + 237. Suppose j(o) = 0. What is o?
-2, 8
Let p(h) be the second derivative of -h**7/2940 + h**6/420 - h**5/210 - h**3/6 - 8*h. Let k(r) be the second derivative of p(r). Factor k(y).
-2*y*(y - 2)*(y - 1)/7
Let t(f) be the second derivative of f**4/30 + 2*f**3/15 + f**2/5 + 3*f - 6. Suppose t(r) = 0. What is r?
-1
Let d(k) be the second derivative of -k**5/5 + 7*k**4/3 + 20*k**3/3 - 32*k**2 - 174*k. Factor d(z).
-4*(z - 8)*(z - 1)*(z + 2)
Let f(x) = -x - 5. Let n be f(-7). Factor -2*u**3 + 2*u + 0*u**3 + 9*u**3 + 0*u + 9*u**n.
u*(u + 1)*(7*u + 2)
Factor 100*w**2 + 4*w**3 + 6*w**3 + 6*w**3 + 58*w + 110*w + 36.
4*(w + 3)**2*(4*w + 1)
Solve 22*m - 29*m + 968 + 48*m + 2*m**2 + 47*m = 0 for m.
-22
Let c(n) = -20*n + 143. Let z be c(7). Let s(o) be the first derivative of 21/4*o**4 - 9*o**z + 5 + 3*o**2 + 0*o. What is m in s(m) = 0?
0, 2/7, 1
Let p be ((-26)/52)/((-1)/11). Suppose 121/4 + 1/4*y**2 - p*y = 0. Calculate y.
11
Let g be 10/4*(-5)/25*4/(-8). Factor -5/8*b**3 + 9/8*b + g - 3/4*b**2.
-(b - 1)*(b + 2)*(5*b + 1)/8
Let d(g) = -7*g**4 + 45*g**3 - 257*g**2 + 397*g + 686. Let j(q) = 4*q**4 - 23*q**3 + 129*q**2 - 199*q - 343. Let w(x) = 3*d(x) + 5*j(x). What is p in w(p) = 0?
-1, 7
Let f = -21 - -25. Suppose -t + 6 - 116 = -4*x, 8 = -f*t. Find k such 