ppose z - 11 = 33. Let h be 24/96 - (1 + (-49)/z). Factor 14/11*j - h - 10/11*j**2.
-2*(j - 1)*(5*j - 2)/11
Suppose 0 = j - 4 + 1. Let -2*l**4 + 8*l**3 - 143*l**2 - 2*l**j + 145*l**2 - 2*l**5 - 4*l = 0. Calculate l.
-2, -1, 0, 1
Let i(j) be the third derivative of -j**4/12 - 7*j**3/6 + 28*j**2. Let n be i(-6). Solve -2/5*d**n + 0 + 2/5*d - 4/5*d**4 + 0*d**3 + 4/5*d**2 = 0.
-1, 0, 1
Let z = -223 + 225. Let h(w) be the first derivative of -1 + 1/4*w**z + 1/10*w**5 - 1/9*w**3 - 1/36*w**6 - 1/12*w**4 - 1/6*w. Determine f, given that h(f) = 0.
-1, 1
Let c(b) = 3*b**3 + 49*b**2 - 115*b + 57. Let f(p) = -48*p**3 - 783*p**2 + 1842*p - 912. Let q(a) = -33*c(a) - 2*f(a). Let q(r) = 0. Calculate r.
-19, 1
Let z = 76 + -378/5. Let v(h) be the first derivative of 8*h + 4*h**2 - 2*h**3 - 2*h**4 - 1 - z*h**5. Factor v(a).
-2*(a - 1)*(a + 1)*(a + 2)**2
Let h(g) be the first derivative of g**3/9 - 10*g**2/3 + 12*g - 189. Factor h(b).
(b - 18)*(b - 2)/3
Suppose -1 = -4*d + 7. Suppose 5*s - 4*r - 4 = -0, 4*s + d*r + 2 = 0. Factor -1/4*h**5 + s*h + 1/4*h**3 + 0*h**4 + 0 + 0*h**2.
-h**3*(h - 1)*(h + 1)/4
Let a be (-2 + (-72)/(-21))/(488/1281) - 0. Let -3/2*b + 0*b**3 - a*b**2 + 0 + 15/4*b**4 + 3/2*b**5 = 0. What is b?
-2, -1, -1/2, 0, 1
Let o(n) be the second derivative of n**4/36 + 4*n**3 + 216*n**2 + 14*n - 2. Factor o(b).
(b + 36)**2/3
Let x = 30 - 28. Let f be -7 + x + 4 - 16/(-10). Let f*i + 3/5*i**2 - 6/5 = 0. What is i?
-2, 1
Let b(w) be the third derivative of 0*w + 1/60*w**6 - 20*w**2 + 1/4*w**4 - 1/3*w**3 + 0 - 1/10*w**5. Determine n, given that b(n) = 0.
1
Solve 1/3 + 1/6*o - 1/6*o**2 = 0 for o.
-1, 2
Let f(n) = 2*n**4 + n**3 - 5*n - 5. Let p(b) = -2*b**4 - 2*b**3 + 4*b + 4. Let w(v) = 4*f(v) + 5*p(v). Find d such that w(d) = 0.
-3, 0
Let f(h) be the third derivative of -h**8/112 + h**7/14 - 186*h**2. Factor f(y).
-3*y**4*(y - 5)
Let u(c) be the first derivative of -c**6 + 38*c**5/5 + 23*c**4/2 - 34*c**3 - 80*c**2 - 56*c - 159. Let u(r) = 0. Calculate r.
-1, -2/3, 2, 7
Let q(f) = -f**3 - 5*f**2 + f - 9. Let l be q(-6). Factor -20 + 4*x**2 + l*x - 4*x + x - 2*x.
4*(x - 1)*(x + 5)
Let u(o) be the third derivative of 0*o + 5/24*o**4 + 0 - 1/12*o**5 - 28*o**2 + 5/3*o**3. Solve u(l) = 0.
-1, 2
Let o(v) be the second derivative of v**5/160 - 3*v**4/32 + v**3/2 - 5*v**2/4 - 46*v. Factor o(c).
(c - 5)*(c - 2)**2/8
Let d = -9 - -11. Determine n so that 3*n - 7 - n + 5 - 2*n**3 - d*n**2 + 4 = 0.
-1, 1
Let n(w) = -w**3 + 6*w**2 - 3*w - 1. Let g be n(6). Let h = g + 21. Find q such that -8/5 + 8/5*q + 2*q**3 + 26/5*q**h = 0.
-2, -1, 2/5
Let b(v) be the first derivative of v**6/21 + 26*v**5/35 + 32*v**4/7 + 304*v**3/21 + 176*v**2/7 + 160*v/7 + 119. Factor b(h).
2*(h + 2)**4*(h + 5)/7
Let p = -86 - -37. Let f be (2/7)/(1 + 28/p). Factor 0*k + 0*k**2 + 0 - f*k**3.
-2*k**3/3
Let l(u) be the second derivative of 1/32*u**4 + 3/16*u**3 - 19*u + 3/8*u**2 + 0. Let l(x) = 0. Calculate x.
-2, -1
Let h be ((-1053)/(-663))/((-6)/20). Let a = -433/85 - h. Factor -1/5 - 3/5*x - a*x**3 - 3/5*x**2.
-(x + 1)**3/5
Let q(n) be the second derivative of -n**6/90 - 8*n**5/15 - 32*n**4/3 + 5*n**3/2 - 18*n. Let h(d) be the second derivative of q(d). Factor h(v).
-4*(v + 8)**2
Let u(m) be the first derivative of 3*m**5/80 - m**4/2 - 9*m**3/8 - 23*m - 24. Let z(j) be the first derivative of u(j). Find f, given that z(f) = 0.
-1, 0, 9
Solve 69*i**2 + 2 + 124 + 131*i**2 - 59 + 95 + 360*i = 0.
-9/10
Let m(n) be the second derivative of -121*n**4/12 - 33*n**3 - 81*n**2/2 - 116*n + 2. Solve m(x) = 0 for x.
-9/11
Let f(g) be the first derivative of -g**5/6 - 5*g**4/24 + 5*g**3/6 - 11*g**2/2 - 5. Let v(u) be the second derivative of f(u). Factor v(a).
-5*(a + 1)*(2*a - 1)
Let r(o) be the second derivative of -9*o**5/14 - 27*o**4/14 + 20*o**3/21 + 4*o**2/7 + 109*o. Solve r(i) = 0.
-2, -2/15, 1/3
Factor -450 - 1/2*d**2 + 30*d.
-(d - 30)**2/2
Let n = 710/2387 + -4/341. Suppose -n*k**2 + 0 - 4/7*k = 0. Calculate k.
-2, 0
Let z(u) be the first derivative of -6*u**5/55 + 4*u**3/11 - 6*u/11 + 53. Factor z(g).
-6*(g - 1)**2*(g + 1)**2/11
Let j(p) be the third derivative of -p**6/330 + 377*p**5/660 - 4465*p**4/132 + 2209*p**3/66 + 457*p**2. Let j(a) = 0. Calculate a.
1/4, 47
Let p = -48 - 193. Let o = 487/2 + p. Find a, given that o*a**3 + 3/2*a + 0 - 7/2*a**2 - 1/2*a**4 = 0.
0, 1, 3
Let o(i) = i - 1. Let v be o(-6). Let j(w) = -5*w**2 - 19*w + 25. Let q(g) = 3*g**2 + 10*g - 13. Let r(p) = v*q(p) - 4*j(p). Find u such that r(u) = 0.
3
Let r(k) be the third derivative of -k**7/105 - 2*k**6/15 - 11*k**5/30 + 5*k**4/3 - 44*k**2 - 3*k. Determine o so that r(o) = 0.
-5, -4, 0, 1
Let i(d) be the third derivative of -d**6/60 - 13*d**5/30 + 7*d**4/6 + 118*d**2. Factor i(k).
-2*k*(k - 1)*(k + 14)
Let u = 2446 + -2443. Find k, given that 0 - 8/7*k**2 - 4/7*k - 4/7*k**u = 0.
-1, 0
Let w(j) be the third derivative of j**6/30 + 8*j**5/15 + 8*j**4/3 - 16*j**2 - 2. Solve w(o) = 0 for o.
-4, 0
Let x(q) be the second derivative of 0 + 2*q - 1/20*q**4 + 0*q**2 + 0*q**3 - 3/100*q**5. Solve x(i) = 0 for i.
-1, 0
Suppose -4*l + 37 = 6*h - 3*h, -2*l = 3*h - 17. Let q(w) be the first derivative of -4*w + 14/3*w**3 + l - 5*w**2. What is u in q(u) = 0?
-2/7, 1
Let j = -10567/3 + 3456. Let s = j + 67. Factor -2/3*i**2 + 2/3 - 2/3*i + s*i**3.
2*(i - 1)**2*(i + 1)/3
Let r(t) be the first derivative of t**7/420 - t**6/60 - t**5/40 + 5*t**4/24 + 2*t**3/3 + 9*t**2 + 19. Let m(d) be the second derivative of r(d). Factor m(g).
(g - 4)*(g - 2)*(g + 1)**2/2
Let t(m) be the third derivative of m**10/30240 + m**9/5040 + m**8/3360 - m**4/8 - m**2. Let w(u) be the second derivative of t(u). Factor w(x).
x**3*(x + 1)*(x + 2)
Let c(p) = p - 5. Let b be c(10). Let t be (40/25)/(2/b). Solve 8*k**4 - 10*k**4 - 6*k**3 - 2*k**2 + t*k**5 + 4*k**4 + 2*k = 0.
-1, 0, 1/2, 1
Let z(j) be the third derivative of j**2 + 8 - 2/17*j**3 + 5/204*j**4 + 0*j + 1/510*j**5. Factor z(p).
2*(p - 1)*(p + 6)/17
Let o(i) be the third derivative of 0 + 0*i**5 + 0*i - 1/420*i**6 + 0*i**3 - 6*i**2 + 0*i**4. Find q, given that o(q) = 0.
0
Let j be (-41 - -39)*2*-3. Let b(i) be the first derivative of 1/9*i**3 + 1/6*i - 1/4*i**2 - j. Determine l, given that b(l) = 0.
1/2, 1
Let a(h) be the second derivative of h**4/54 + 2*h**3/27 - 8*h**2/9 + 17*h. Factor a(c).
2*(c - 2)*(c + 4)/9
Let q be (-6)/39 - 23308/429. Let k = q - -164/3. Factor -6/11*a**4 - 6/11*a**3 + 0 - 2/11*a**5 - k*a**2 + 0*a.
-2*a**2*(a + 1)**3/11
Suppose -r = 3*p - 8, 0*r + 3*r - 2 = 2*p. Factor 53*k**r + 5*k**3 - 2*k - 45*k**2 + 6*k + k**4.
k*(k + 1)*(k + 2)**2
Let g(k) be the second derivative of -k**9/5040 - k**8/1120 - k**7/840 - k**4/4 - 19*k. Let y(m) be the third derivative of g(m). Solve y(n) = 0.
-1, 0
Factor -264 + 2*g**3 + 98*g**2 + 166 + 98.
2*g**2*(g + 49)
Suppose -8*x = -3*x. Let n be (-138)/(-92) + x/2. Let -n*h**3 + 0 + 0*h**2 + 3/2*h = 0. Calculate h.
-1, 0, 1
Let l(w) be the second derivative of 25*w**4/24 + 5*w**3/2 + 9*w**2/4 + 11*w - 6. Factor l(v).
(5*v + 3)**2/2
Let j(d) be the first derivative of 2*d**3/9 + 16*d**2/3 + 128*d/3 - 77. What is o in j(o) = 0?
-8
Let d(u) be the third derivative of u**5/120 - 5*u**4/12 + 25*u**3/3 - 45*u**2. Factor d(l).
(l - 10)**2/2
Let m(s) = 8*s**3 - 16*s**2 + 8*s - 12. Let j(w) = -17*w**2 + 0*w - 7*w**3 + 7*w - 13 + 16*w**3. Let a(i) = -6*j(i) + 7*m(i). Factor a(p).
2*(p - 3)*(p - 1)**2
Factor -11885 - 209*r + 11993 + 53*r + 52*r**2 - 4*r**3.
-4*(r - 9)*(r - 3)*(r - 1)
Let r = 22 + -20. Suppose 2 + 5*v**3 - 5*v + 5 - 2 - 5*v**r = 0. What is v?
-1, 1
Let h(l) = l**3 + 8*l**2 - 15*l - 150. Let r be h(-7). Factor -3/5*a**3 - 1/5*a**5 + 0*a - 3/5*a**r - 1/5*a**2 + 0.
-a**2*(a + 1)**3/5
Let d = -528 - -1059/2. Let y(v) be the first derivative of 2*v**3 + 0*v - 9/4*v**4 + 5 + d*v**2. Factor y(g).
-3*g*(g - 1)*(3*g + 1)
Let s = -216 + 302. Let u = s + -83. Suppose 10/3*a**2 - 4/3*a**u - 8/3*a + 2/3 = 0. What is a?
1/2, 1
Factor -3/7*b**3 + 3*b + 12/7 + 6/7*b**2.
-3*(b - 4)*(b + 1)**2/7
Let q(g) be the third derivative of -g**8/1176 - g**7/245 - g**6/140 - g**5/210 + 2*g**2 - 41*g. Factor q(l).
-2*l**2*(l + 1)**3/7
Factor 2/7*o**3 + 4*o + 16/7 + 2*o**2.
2*(o + 1)*(o + 2)*(o + 4)/7
Suppose 0 = 4*n - 17 + 9. Suppose 14*x - 3*x**2 - 2*x + 0*x**n - 4 - 8 = 0. Ca