- 1000*g.
4*g*(g - 2)*(g + 5)**3
Let l(k) be the second derivative of k**7/21 - k**6/15 - k**5 - 4*k**4/3 + 75*k. Let l(t) = 0. What is t?
-2, -1, 0, 4
Let q = -14 + 47. Solve -12*j - 20*j**5 + 11*j + q*j - 80*j**2 + 68*j**4 - 24*j**3 = 0.
-1, 0, 2/5, 2
Let j(m) be the third derivative of 3*m**8/616 - 2*m**7/1155 - 3*m**6/20 + 92*m**5/165 - 9*m**4/11 + 16*m**3/33 - 517*m**2. Suppose j(h) = 0. Calculate h.
-4, 2/9, 1, 2
Let f(d) = d**2 + 27*d - 465. Let n be f(-39). Factor 0*w - 18/7*w**3 - n*w**2 + 3/7*w**4 + 0.
3*w**2*(w - 7)*(w + 1)/7
Let w(j) be the second derivative of j**6/105 - j**5/35 - 59*j**4/42 + 20*j**3/7 + 900*j**2/7 + 261*j. Suppose w(x) = 0. Calculate x.
-5, 6
Suppose -12 = 10*b - 14*b. Factor 64*y**2 + 18*y**3 - 54*y**b + 1 - 20*y - 3 - 6.
-4*(y - 1)**2*(9*y + 2)
Let n(o) be the first derivative of 5*o**6/33 + 46*o**5/55 - 5*o**4/11 - 200*o**3/33 - 40*o**2/11 + 64*o/11 + 115. Suppose n(r) = 0. What is r?
-4, -2, -1, 2/5, 2
Let k(b) be the third derivative of b**9/15120 + b**8/3360 + b**7/2520 + b**4/12 + 13*b**2. Let w(m) be the second derivative of k(m). Factor w(y).
y**2*(y + 1)**2
Let o(s) be the first derivative of -s**6/1080 - s**5/90 - s**4/24 - 6*s**3 + 9. Let p(a) be the third derivative of o(a). Determine x, given that p(x) = 0.
-3, -1
Let h = -7155/8 + 50101/56. Let 10/7*o**2 - 4/7*o + h*o**4 + 0 - 8/7*o**3 = 0. What is o?
0, 1, 2
Let r be ((0 + 1)*-18)/(-2). Factor -22*k - 3*k**2 + 19*k + 9*k + r.
-3*(k - 3)*(k + 1)
Let d(s) = -s**2 + 14*s + 32. Let y be d(-2). Find c such that c**3 + 1/2*c**4 - 1/2*c**2 + y - c = 0.
-2, -1, 0, 1
Suppose -2/3*y**5 + 22/3*y**3 + 4*y**2 + 0 + 8/3*y**4 + 0*y = 0. Calculate y.
-1, 0, 6
Solve 0*n**3 + 4/21*n**4 - 2/21*n**5 + 0 + 0*n + 0*n**2 = 0 for n.
0, 2
Let k(h) be the first derivative of 0*h**2 + 2*h**3 - 13 - 8*h - 1/2*h**4. Let k(o) = 0. Calculate o.
-1, 2
Let j be ((-1)/18*-3)/(17/51). Let y = -2/11 - -15/22. Let -i + j*i**2 + y*i**3 + 0 = 0. What is i?
-2, 0, 1
Let x be 18/((-2)/(-1) - 3). Let a(q) = -3*q**3 + 4*q**2 - 9*q + 9. Let w(k) = -k**3 - k + 1. Let o(f) = x*w(f) + 2*a(f). Find t such that o(t) = 0.
-2/3, 0
Suppose -3100/7*c**2 - 8/7*c**5 - 2290/7*c**3 + 40*c**4 - 1296/7 + 4680/7*c = 0. What is c?
-2, 1/2, 18
Let k = 50 - 46. Let y be k/(-6)*6*(-4)/32. Solve -v**2 - 1 + 2*v**4 + 5/2*v - y*v**5 - 2*v**3 = 0 for v.
-1, 1, 2
Let q(g) be the second derivative of g**7/7 + 47*g**6/10 + 303*g**5/5 + 733*g**4/2 + 805*g**3 - 3675*g**2/2 - 132*g. Determine u so that q(u) = 0.
-7, -5, 1/2
Let g(o) be the first derivative of -2/7*o**3 - 22 - 2/7*o**2 - 1/7*o - 1/7*o**4 - 1/35*o**5. Factor g(t).
-(t + 1)**4/7
Let q be (36/(-42))/((-4)/14). Factor 275*z - 275*z + q*z**2.
3*z**2
Suppose -124 = 8*j - 12*j. Let z = j - 29. Let -z*l - 15*l**2 + 6*l**2 + 3*l**3 - 3 + 11*l = 0. What is l?
1
Let b(m) be the first derivative of m**6/540 + m**5/135 - 5*m**4/108 - 2*m**3/9 - 33*m**2/2 - 38. Let p(w) be the second derivative of b(w). Factor p(z).
2*(z - 2)*(z + 1)*(z + 3)/9
Let s = 216 + -3887/18. Let y(j) be the first derivative of 2/9*j**3 + 0*j - s*j**4 - 2/9*j**2 + 2. Suppose y(d) = 0. Calculate d.
0, 1, 2
Let j(x) = -2*x**2 + 25*x + 124. Let i(h) = -h. Let g(r) = -3*i(r) - j(r). Let f(k) = k**2 - 1. Let w(s) = -12*f(s) + 4*g(s). Factor w(o).
-4*(o + 11)**2
Let o(m) be the second derivative of -m**7/56 + m**6/10 - 9*m**5/40 + m**4/4 - m**3/8 + 184*m. Factor o(y).
-3*y*(y - 1)**4/4
Suppose 0 = 4*c - 20, 2*s - 5*c + 53 = -6*c. Let y be (-2 - s/15)/((-27)/90). Factor -y*n**2 + 2/3*n + 0.
-2*n*(n - 3)/9
Let w(r) be the third derivative of -1/12*r**5 + 5/12*r**4 + 0*r**3 + 0 + 13*r**2 + 0*r - 1/12*r**6 + 1/42*r**7. Solve w(z) = 0.
-1, 0, 1, 2
Let b(i) be the first derivative of -i**7/1470 + i**6/840 + i**5/210 + 13*i**2/2 - 18. Let u(h) be the second derivative of b(h). Factor u(r).
-r**2*(r - 2)*(r + 1)/7
Let t(g) be the first derivative of -g**7/105 - g**6/30 + g**4/6 + g**3/3 - 3*g**2 - 33. Let k(x) be the second derivative of t(x). Factor k(q).
-2*(q - 1)*(q + 1)**3
Let g = 3657/190 + -284/19. Determine n, given that 12/5*n - 7/10*n**4 - 2/5 + 3*n**3 - g*n**2 = 0.
2/7, 1, 2
Let k(p) be the third derivative of -p**7/945 + p**6/54 + 13*p**5/270 - 11*p**4/54 - 5*p**2 + 61. Find a, given that k(a) = 0.
-2, 0, 1, 11
Suppose 2*a = 34*v - 39*v + 1, v - 2 = -a. Solve 2*c**2 + 0 - 4/3*c - 2/3*c**a = 0.
0, 1, 2
Let g be 12/28 - (-16)/28. Factor 4 + g + 3*z + 5 - 27*z**2 + 26*z**2.
-(z - 5)*(z + 2)
Let m be 3 + 4 + 12/(-6). Let d be m + (-26)/3 + (4 - 0). Factor -2/3 - l + d*l**3 + 0*l**2.
(l - 2)*(l + 1)**2/3
Let p(v) = -2*v - 1. Let w(f) = -f**2 - 17*f - 10. Let o(a) = -30*p(a) + 5*w(a). Factor o(x).
-5*(x + 1)*(x + 4)
Let i = 54 + -69. Let q = 17 + i. Factor -2*o**3 - 1/3*o**5 - 4/3*o**4 - 1/3*o + 0 - 4/3*o**q.
-o*(o + 1)**4/3
Let u = -45/8 - -57/8. Let l = -3/4 + u. Factor -i**3 - 3/2*i**2 + l*i**5 + i**4 + 1/4*i + 1/2.
(i - 1)*(i + 1)**3*(3*i - 2)/4
Factor -30*a**3 - 10*a**2 + 20*a**4 - 30*a**2 - 25*a**4 + 30*a + 45.
-5*(a - 1)*(a + 1)*(a + 3)**2
Let p be ((-82)/12)/((-122)/183) + 2. Factor p - 7/2*q + 1/4*q**2.
(q - 7)**2/4
Suppose 0 = 7*w - 6*w. Let b be 7 + 1/(33/(-121)). Factor -b*l - 5*l**2 + w.
-5*l*(3*l + 2)/3
Suppose 603*w = 609*w - 18. Factor 0 + 9/4*n - 21/2*n**2 + 25/4*n**w - n**4.
-n*(n - 3)**2*(4*n - 1)/4
Let f be (-84)/(-33) - 84/154. Suppose 15 = 3*t - 6. Suppose -t*w**f + 11*w**2 - 7*w + 10*w + 12 + 13*w = 0. Calculate w.
-3, -1
Factor 648/7*l + 0 + 18/7*l**2 + 2/7*l**4 - 4*l**3.
2*l*(l - 9)**2*(l + 4)/7
Suppose -17*k = -16*k - 7. Let x(w) be the third derivative of -1/15*w**5 + 0 + 0*w**3 - 2/105*w**k + 8*w**2 + 0*w**4 + 0*w - 1/15*w**6. Factor x(i).
-4*i**2*(i + 1)**2
Let -171/2*f**2 - 99/2*f**4 + 0 - 6*f**5 - 114*f**3 - 15*f = 0. What is f?
-5, -2, -1, -1/4, 0
Let n(q) be the third derivative of -143/72*q**4 - 1/360*q**6 + 0*q + 121/18*q**3 + 23/180*q**5 + 0 + 33*q**2. Factor n(u).
-(u - 11)**2*(u - 1)/3
Factor -9/2*b**3 + 15/4 - 15/4*b**2 + 9/2*b.
-3*(b - 1)*(b + 1)*(6*b + 5)/4
Let c(j) be the first derivative of j**5/20 - j**4/4 + j**3/2 + 13*j**2/2 + 12. Let n(v) be the second derivative of c(v). Solve n(p) = 0 for p.
1
Let z(o) = 3*o**2 - 3*o - 60. Let p be z(5). Let m(i) be the second derivative of 0*i**2 + 4*i + 1/3*i**3 + p - 1/18*i**4. Factor m(f).
-2*f*(f - 3)/3
Let t be (2/(-4))/(2/(-536)). Let h = t - 23. Factor -3*s**3 + 3 - 3 - h*s**2 + 114*s**2.
-3*s**2*(s - 1)
Let o(h) be the second derivative of -h**8/6720 + h**7/315 - 10*h**4/3 + 18*h. Let n(k) be the third derivative of o(k). Suppose n(v) = 0. Calculate v.
0, 8
Let i(v) = v**3 - v + 12. Let m be i(0). Let w = m - 7. Solve -45*l**4 + 3*l**3 + 18*l**w - l**3 + 57*l**4 = 0.
-1/3, 0
Let x(t) be the third derivative of 0*t**4 + 0 + 0*t - 18*t**2 - 3/112*t**8 - 2/35*t**7 + 1/40*t**6 + 0*t**3 + 1/10*t**5. Determine p so that x(p) = 0.
-1, 0, 2/3
Solve -175*q**3 + 367*q**3 + q**4 - 2883 - 7*q**4 + 3*q**4 + 5952*q - 3258*q**2 = 0.
1, 31
Let m(b) = b**3 + 4*b**2 + b - 1. Let s be m(-1). Let d(t) = -t**2. Let x(i) = i**2 - 5*i + 10. Let p(n) = s*x(n) + 6*d(n). Solve p(r) = 0 for r.
-2, 1
Suppose -4*m + 12 - 4 = 0. Factor -4*g**m + 8*g**3 - 6*g**3 - 10*g**3 + 6*g + 4 + 2*g**5.
2*(g - 2)*(g - 1)*(g + 1)**3
Let m(l) = -21*l**2 + 9*l + 8. Let j be m(-1). Let b be (2 - 1)/(j + 27). Factor b*g**2 - 2/5*g + 0.
g*(g - 2)/5
Let r = 173 - 199. Let b be (-3 - (116/r - -4)) + 3. Determine g so that 0 + b*g - 2/13*g**2 = 0.
0, 3
Let b(o) = 17*o**4 - 7*o**3 + 19*o**2 - 3*o. Let p(z) = -8*z**4 + 4*z**3 - 10*z**2 + 2*z. Let k(c) = 6*b(c) + 13*p(c). Factor k(f).
-2*f*(f - 2)**2*(f - 1)
Let j(h) = -h**3 - 12*h**2 + 2*h + 13. Let z be j(-12). Let i(s) = 5*s**2 + 15*s + 10. Let n(d) = 26*d**2 + 75*d + 49. Let p(l) = z*i(l) + 2*n(l). Factor p(v).
-3*(v + 1)*(v + 4)
Let n(b) be the third derivative of -1/15*b**5 + 0*b + 0 + 1/12*b**4 + 0*b**3 + 8*b**2 - 1/20*b**6. Find t such that n(t) = 0.
-1, 0, 1/3
Factor -19/5 + 4*g - 1/5*g**2.
-(g - 19)*(g - 1)/5
Let n = 91 - 89. Suppose -h = 2*q + q + 2, h + n = 2*q. Determine p so that p + q - 1/2*p**2 = 0.
0, 2
Let d(m) be the third derivative of m**8/84 + 2*m**7/21 + m**6/5 - 2*m**5/15 - 7*m**4/6 - 2*m**3 - 207*m**2. Suppose d(r) = 0. Calculate r.
-3, -1, 1
Let x = 377/13860 - -1/220. Let u(t) be th