7/4200 + t**6/600 + t**5/200 + t**4/6 - 7*t**3 - 28*t. Let f(c) be the third derivative of u(c). What is z in f(z) = 0?
-1
Let i = 619361/13 - 47643. Suppose -8/13*z - i*z**2 + 0 = 0. Calculate z.
-4, 0
Let f(w) = 41*w + 576. Let s be f(-14). Factor 0 + 54/7*g**3 + 24/7*g - 72/7*g**s.
6*g*(3*g - 2)**2/7
Let k(n) = -n**3 + 9*n**2 + 2*n - 13. Let m be k(9). Suppose -4*c = -u - 0*u + 24, -m = c. Determine y, given that 6*y**2 - u*y - 7*y**2 - 3 + 0*y = 0.
-3, -1
Suppose 8 = 9*f - 8*f. Factor -29*z**3 - f - 62*z**2 + 10*z**2 - 46*z + 45*z**3.
2*(z - 4)*(2*z + 1)*(4*z + 1)
Let z(d) = -8*d - 18. Let v be z(-3). Let f(q) = -2*q**3 + 7*q**2 + 16*q - 9. Let c(t) = -t**2 - 2*t - 1. Let s(w) = v*c(w) + 2*f(w). Factor s(u).
-4*(u - 3)*(u - 1)*(u + 2)
Suppose 0 = 14*b + 112 - 560. Suppose -10*d + b - 12 = 0. Factor -2/7*t - 2/7*t**d + 0.
-2*t*(t + 1)/7
Suppose -16*p + 2133 - 2101 = 0. Let -3*t**3 - 3/2 + 0*t**p + 3*t + 3/2*t**4 = 0. Calculate t.
-1, 1
Factor 2/5*c**3 - 4/5 + 0*c**2 - 6/5*c.
2*(c - 2)*(c + 1)**2/5
Let b(v) be the first derivative of 0*v**2 - 13 - 1/5*v**5 + 1/2*v**4 - 1/3*v**3 + 0*v. Factor b(s).
-s**2*(s - 1)**2
Factor 3*d**4 + 25*d**2 + 39*d - 6*d**3 - 4*d**4 + 16*d**2 - 40 + 0*d**2 - 33*d**3.
-(d - 1)**2*(d + 1)*(d + 40)
Let k(r) = r**2 - 93*r + 94. Let q be k(92). Factor -2/7*v**q + 2/7 + 2/7*v - 2/7*v**3.
-2*(v - 1)*(v + 1)**2/7
Let n(z) be the third derivative of -1/735*z**7 + 1/2352*z**8 + 0 + 0*z**4 + z**2 + 0*z - 1/280*z**6 + 0*z**3 + 0*z**5. Factor n(r).
r**3*(r - 3)*(r + 1)/7
Determine p so that -10/3 - 2/3*p**2 + 4*p = 0.
1, 5
Let l(v) = -9*v + 14. Let b be l(-7). Let o = 80 - b. Factor -1/3*h**2 - 1/6*h**o - 1/6*h + 0.
-h*(h + 1)**2/6
Suppose 0 = -r - 4*v + 16, 4*r - 2*v = 101 - 19. Solve 102*j - 54*j**4 + 16*j**3 - 26*j + 40*j**3 + 50*j**4 - 4*j**5 - 104*j**2 - r = 0 for j.
-5, 1
Suppose -6/5*i**4 - 2/5*i - 6/5 - 2/5*i**5 + 4/5*i**3 + 12/5*i**2 = 0. What is i?
-3, -1, 1
Let m(t) = 4*t - 4. Let f be (-2)/4 + (-6)/(-4). Let v be m(f). Factor -3*l**3 - 1/2*l**2 + v + 0*l - 2*l**5 - 9/2*l**4.
-l**2*(l + 1)**2*(4*l + 1)/2
Let w(o) = -o**2 + 6*o + 4. Let n(p) = 6*p - 3*p**2 + 21 + 18*p - 6. Let f(h) = 4*n(h) - 15*w(h). Determine r so that f(r) = 0.
-2, 0
Let q(f) be the third derivative of f**5/20 + f**4/4 - 13*f**2 + 2*f. Determine t, given that q(t) = 0.
-2, 0
Let p = -46 + 49. Factor -651*t + 306*t + 3*t**p + 27 + 21*t**2 + 294*t.
3*(t - 1)**2*(t + 9)
Factor -100/3 - w**3 - 35/3*w + 26/3*w**2.
-(w - 5)**2*(3*w + 4)/3
Let z(c) be the first derivative of c**4/8 + 29*c**3/6 + 303. Suppose z(a) = 0. What is a?
-29, 0
Let p(j) be the first derivative of 16/3*j - 4/3*j**2 - 17 + 1/9*j**3. Factor p(x).
(x - 4)**2/3
Let n(x) be the second derivative of 10*x + 0 + 10/3*x**3 - 10*x**2 - 5/12*x**4. Suppose n(p) = 0. What is p?
2
Let g(f) be the third derivative of -f**7/504 + f**5/24 - f**4/4 + 13*f**2. Let d(w) be the second derivative of g(w). Factor d(a).
-5*(a - 1)*(a + 1)
Suppose -13*o + 13*o = 47*o. Let i(t) be the third derivative of o*t**3 - t**2 - 1/15*t**5 + 0 + 0*t + 1/3*t**4. Solve i(s) = 0 for s.
0, 2
Find y, given that -9/2 + y + 1/6*y**2 = 0.
-9, 3
Let m(p) be the first derivative of 3*p**6/19 - 12*p**5/5 + 61*p**4/38 + 272*p**3/57 - 44*p**2/19 - 96*p/19 - 286. Find d such that m(d) = 0.
-2/3, 1, 12
Let o(y) be the third derivative of 2*y**7/945 + y**6/90 - y**5/15 - y**4/2 - 56*y**2. Factor o(k).
4*k*(k - 3)*(k + 3)**2/9
Suppose -146*j = -191*j + 135. Factor 2/7*l**4 + 0 + 2/7*l - 2/7*l**2 - 2/7*l**j.
2*l*(l - 1)**2*(l + 1)/7
Let c(r) be the first derivative of -r**4/36 - 2*r**3/27 + 2*r**2/9 + 8*r/9 - 25. Factor c(h).
-(h - 2)*(h + 2)**2/9
Let r(l) be the first derivative of 4*l**3 + 3/4*l**4 + 19 - 9/2*l**2 - 54*l. Determine j, given that r(j) = 0.
-3, 2
Let p be (-1 + (-13)/(-3))/(24/36). Let h(n) be the third derivative of 0 + 4*n**2 - 1/132*n**4 - 1/55*n**p + 2/33*n**3 + 0*n. Suppose h(r) = 0. Calculate r.
-2/3, 1/2
Suppose 2*b - 3*y - 19 = 33, -b = 5*y. Suppose 0 = -4*g + 24 + b. Factor 13*s + g*s**3 + 98*s**4 + 45*s**3 - 8 - 65*s**2 - 69*s - 25*s**2.
2*(s - 1)*(s + 1)*(7*s + 2)**2
Let i be 12 - (15 - -129)/16. Factor 0 - 1/4*q**i + 1/4*q**2 + 0*q.
-q**2*(q - 1)/4
Let o be ((-5 - -2)/(-6))/(18/108). Let m(x) be the first derivative of 5 - 1/8*x**4 + 3/2*x + 5/6*x**o - 7/4*x**2. Factor m(g).
-(g - 3)*(g - 1)**2/2
Let u(l) be the third derivative of l**8/14 + 11*l**7/15 + 91*l**6/40 + 71*l**5/60 - 11*l**4/8 - 3*l**3/2 - 150*l**2. Suppose u(b) = 0. Calculate b.
-3, -1/2, -1/4, 1/3
Let d be (8/1)/(4 + -2). Suppose 3*k - w - 9 = 0, d*w - w + 9 = 0. Factor -3*i**2 + 3*i**3 + i**4 + 2 - i - k + 2 - 2*i**3.
(i - 1)**2*(i + 1)*(i + 2)
Let m(d) = 2*d + 20. Let r be m(-9). Factor -10*w + r - 3*w**2 + 16*w + 4 + 11*w.
-(w - 6)*(3*w + 1)
Let f = -258 + 258. Let m(q) be the second derivative of -1/2*q**3 + 9/20*q**5 + f + 0*q**2 + 1/2*q**4 + 2*q. Factor m(c).
3*c*(c + 1)*(3*c - 1)
Let b(o) = 15*o**3 - 214*o**2 - 75*o. Let x(j) = -15*j**3 + 216*j**2 + 75*j. Let c(t) = 2*b(t) + 3*x(t). Factor c(d).
-5*d*(d - 15)*(3*d + 1)
Let -97969/7*g**2 - 1/7*g**4 + 0 + 0*g - 626/7*g**3 = 0. Calculate g.
-313, 0
Let p be 2/19 + 330/114. Let t be (-9)/6*76/(-6). Determine z so that 12*z**3 - 4*z**4 - 8*z + t - 15 - 4*z**p = 0.
-1, 1
Let c(o) be the second derivative of -o**6/90 - 8*o**5/5 - 96*o**4 - 3072*o**3 - 55296*o**2 + 57*o. Suppose c(z) = 0. What is z?
-24
Let f = -114 + 315. Let q = f + -197. Solve 9/4 + 14*m**3 + q*m**4 + 21/2*m + 73/4*m**2 = 0.
-1, -3/4
Let q(u) = u**2 + 1. Let l(n) be the second derivative of 0 - n**3 + n + 4*n**2 + 5/6*n**4. Let r(h) = -l(h) + 8*q(h). Factor r(f).
-2*f*(f - 3)
Let s(u) = -u**3 + 6*u**2 - 6*u + 2. Let r be s(5). Let g be 10 + 0 - -3 - r. Determine i so that 1 + 17*i**2 - 2*i + 0*i - 4 - g*i**2 = 0.
-1, 3
Let n(i) = -i**3 + 2*i**2 - i + 1. Let q(y) = -5*y**4 + y**3 + 228*y**2 + 886*y + 634. Let x(u) = 6*n(u) + q(u). Find t, given that x(t) = 0.
-4, -1, 8
Let s be (7 - 9)*3/(-2). Factor 3*w + s*w**2 - w**2 - 10 - 3*w**3 + 0*w**2 + 8.
-(w - 1)*(w + 1)*(3*w - 2)
Let v(o) = 5*o**4 - 3*o**3 - 5*o**2 + 3*o - 4. Let g(u) = -81*u**4 + 48*u**3 + 81*u**2 - 48*u + 66. Let q(m) = 2*g(m) + 33*v(m). Factor q(c).
3*c*(c - 1)**2*(c + 1)
Factor -99 - 164*v + 65*v**2 + 51*v**2 - 85 + 24*v**3 + 208.
4*(v - 1)*(v + 6)*(6*v - 1)
Let d(v) be the first derivative of -v**8/112 + 11*v**7/630 - v**6/180 - 5*v**2 - 13. Let r(f) be the second derivative of d(f). Let r(g) = 0. What is g?
0, 2/9, 1
Let d(u) be the first derivative of -2/5*u - 8 + 8/15*u**3 + 3/5*u**2. Factor d(x).
2*(x + 1)*(4*x - 1)/5
Let v be (138/(-9))/((-5)/15). Let v*p**4 + 2*p**3 - 49*p**4 - 5*p**3 = 0. What is p?
-1, 0
Suppose -j + 6 = 5*m, -7*m - 28 = -15*m + 3*j. Let y = -30 + 121/4. Factor -y*n**4 + 3*n + 2 - 3/4*n**3 + 1/2*n**m.
-(n - 2)*(n + 1)*(n + 2)**2/4
Let x(a) be the second derivative of -2*a**6/255 + a**5/10 - 15*a**4/34 + 9*a**3/17 + 27*a**2/17 - 2*a + 2. Determine t, given that x(t) = 0.
-1/2, 3
Let f(u) = u**5 + u**4 + 36*u**3 + 26*u**2 - 34*u - 6. Let t(b) = 3*b**5 + 3*b**4 + 73*b**3 + 53*b**2 - 67*b - 13. Let h(y) = -13*f(y) + 6*t(y). Factor h(z).
5*z*(z - 2)*(z - 1)*(z + 2)**2
Let w be (-25)/(-88)*2 - (-1)/11*2. Factor 1/4*g**3 - w*g**4 + 0 + 0*g + 0*g**2.
-g**3*(3*g - 1)/4
Let o(z) = 20*z**3 + 8*z**2 - 24*z + 12. Let x(h) = -2*h**3 + 2*h - 1. Let k(r) = o(r) + 12*x(r). Find i such that k(i) = 0.
0, 2
Suppose 0 = u + 2*i, 4*u + 0*i - 18 = i. Let k be ((-1)/u)/((-585)/108 + 5). Factor -6/5 + 9/5*j - 9/5*j**3 + 3/5*j**4 + k*j**2.
3*(j - 2)*(j - 1)**2*(j + 1)/5
Suppose -13*c + 268 = -525. Let y = -61 + c. Factor 0*h**2 - 4/3*h + y + 4/3*h**3.
4*h*(h - 1)*(h + 1)/3
Let t(o) = 3*o**2 + 18*o + 18. Let a(b) = 2*b**2 - 1. Let j(k) = 3*a(k) - t(k). Factor j(v).
3*(v - 7)*(v + 1)
Let g(i) be the second derivative of -i**5/140 - 4*i**4/21 - 32*i**3/21 + 56*i - 1. Factor g(d).
-d*(d + 8)**2/7
Let z(o) = -7*o**2 + 168*o - 25. Let g(s) = 33*s**2 - 840*s + 123. Let t(b) = 4*g(b) + 21*z(b). Factor t(c).
-3*(c - 11)*(5*c - 1)
Let h(u) be the second derivative of -1/6*u**4 + 6*u**2 + 30*u + 0 - 5/3*u**3. Factor h(l).
-2*(l - 1)*(l + 6)
Let f(q) = q**3 - 57*q**2 + 111*q - 52. Let i be f(55). Factor 0 + 0*g + 3/4*g**5 + 9/4*g**2 + 21/4*g**i + 15/4*g**4.
3*g**