rd derivative of -q**7/6300 + q**6/225 + 3*q**5/100 + 17*q**4/24 - 6*q**2. Let d(u) be the second derivative of v(u). Factor d(n).
-2*(n - 9)*(n + 1)/5
Let x = 2/559 - 137/2236. Let j = 645/364 + x. Solve 4/7*i - 4/7*i**3 - j*i**4 + 0 + 12/7*i**2 = 0 for i.
-1, -1/3, 0, 1
Let r be -4534*(-4)/104*-4. Let u = r + 698. Let 2/13*p**2 + 4/13 - u*p = 0. What is p?
1, 2
Let t(j) = 10*j**2 - 1145*j + 32490. Let d(f) = -15*f**2 + 1717*f - 48735. Let m(w) = -5*d(w) - 7*t(w). Determine a so that m(a) = 0.
57
Suppose -25 = -r - 4*q, 5*q = -4*r + 23 + 33. Let l = 4 - -1. Factor -3*a**2 - 6*a - r + l + a**2.
-2*(a + 1)*(a + 2)
Let k be (4 + -2)/((-4)/(-36)). Let h = 20 - k. Suppose 2 + h + 2*d - 2*d**2 + 0*d = 0. What is d?
-1, 2
Factor -2/7*r**3 + 0*r + 2/7*r**2 + 2/7*r**5 - 2/7*r**4 + 0.
2*r**2*(r - 1)**2*(r + 1)/7
Let d(k) be the first derivative of k**2/2 + 35*k + 69. Let c be d(-35). Determine t so that 0 - 1/3*t**2 + 1/3*t**3 + c*t = 0.
0, 1
Suppose 4*g - 2*n + 4*n - 116 = 0, 0 = -4*n - 8. Let b be (-11)/(110/g) + (-3)/(-1). Let 0*r + b*r**3 + 1/3*r**4 + 0 - 1/3*r**2 = 0. What is r?
-1, 0, 1
Let i(f) = -50*f + 2750. Let p be i(55). Factor -8/13*v**2 + p*v + 2/13*v**4 + 0 + 0*v**3.
2*v**2*(v - 2)*(v + 2)/13
Suppose 2*s + 3*x - 8 - 12 = 0, s - 4*x - 21 = 0. Factor -162*j**3 + 11*j**2 - s*j**2 - 59*j**2 - 11*j**2 - 8*j.
-2*j*(9*j + 2)**2
Factor -86*r - 2*r**3 - r**2 - r**3 + 0*r**3 - 20 + 70*r + 4*r**3.
(r - 5)*(r + 2)**2
Suppose 2*y**4 + 4*y**4 + 4779*y - 40*y**3 - y**4 + 100*y**2 - 4859*y = 0. Calculate y.
0, 2, 4
Let c(l) be the second derivative of l**6/90 + l**5/5 - l**3 + 13*l. Let w(y) be the second derivative of c(y). Factor w(a).
4*a*(a + 6)
Let y be ((-42)/(-9)*-3)/(-2). Suppose -f**5 + 4*f**2 - y*f**3 + 9*f**4 + 3*f**3 + 2*f**5 - 10*f**4 = 0. What is f?
-2, 0, 1, 2
Let q be (-96)/224*-1*7. Let x(f) be the second derivative of 0*f**2 - 3/14*f**q + 0 - 1/28*f**4 + f. Factor x(l).
-3*l*(l + 3)/7
Suppose 2*u - 3 = -1. Let p be u*-2 + 3 + -7 + 8. Find q such that 0 + 3/2*q - 3/2*q**p - 3/2*q**3 + 3/2*q**4 = 0.
-1, 0, 1
Factor 0 + 4/5*o**4 - 4/5*o**2 - 1/5*o**3 + 1/5*o.
o*(o - 1)*(o + 1)*(4*o - 1)/5
Find s such that 1/4*s**2 + 9/4*s - 11/2 = 0.
-11, 2
Factor -44 - 19*m**3 - m**2 + 20*m**4 + 3*m**3 + 112*m - 71*m**2.
4*(m - 1)**3*(5*m + 11)
Suppose -57 = 28*p - 113. Suppose 1/3*s**p + 0 - s = 0. Calculate s.
0, 3
Let c be (28/(-343))/((-18)/1288). Let d = c - 50/9. Factor -d*l**3 + 0*l**2 + 0 + 0*l.
-2*l**3/7
Suppose 3*d + 17 = -4*i - 2, -5*i + 10 = -3*d. Let l be (4/(-12))/(i - (-3 - -3)). Find h, given that 0 + 0*h - 2/3*h**3 + l*h**2 + 1/3*h**4 = 0.
0, 1
Let u(l) = -3*l**4 - l**2 + 1. Let g(k) = -17*k**4 - 241*k**3 + 19434*k**2 - 531200*k + 512006. Let z(r) = -g(r) + 6*u(r). Factor z(p).
-(p - 80)**3*(p - 1)
Let b(a) = 2*a**4 + 10*a**3 - 14*a**2 - 6*a + 22. Let k(h) = -12*h**4 - 49*h**3 + 68*h**2 + 29*h - 109. Let w(n) = -22*b(n) - 4*k(n). Factor w(q).
4*(q - 3)*(q - 2)**2*(q + 1)
Let r be (-13)/(-5) + 60/(-100). What is n in -113*n**r - 39*n**5 + 4*n**5 + 10*n**4 + 35*n**3 + 103*n**2 = 0?
-1, 0, 2/7, 1
Let d(q) = q**2 - 4*q + 28. Let a be d(-6). Let t = 529/6 - a. Factor 0 - 1/6*y + t*y**2.
y*(y - 1)/6
Solve -27*w**3 - 26*w**2 - w**4 + 13448 - 13448 = 0.
-26, -1, 0
Let i(t) be the first derivative of 2*t**3/21 + 136*t**2/7 + 9248*t/7 - 38. Find n such that i(n) = 0.
-68
Suppose 0 = 20*h - 56 + 16. Let c be 130/30 + -1*3. Find m, given that -2 - c*m - 2/9*m**h = 0.
-3
Let j(i) = 75*i**2 + 1905*i - 26965. Let t(m) = 13*m**2 + 318*m - 4494. Let d(v) = -6*j(v) + 35*t(v). Determine b so that d(b) = 0.
30
Let m(k) be the third derivative of -k**5/20 - k**4/2 - 3*k**3/2 + 4*k**2 + 83. Factor m(a).
-3*(a + 1)*(a + 3)
Let y = 178 - 183. Let f be 2 + y/(-50) + 3/(-2). Factor -1/5 - f*o - 3/5*o**2 - 1/5*o**3.
-(o + 1)**3/5
Let r(z) be the first derivative of z**6/90 + z**5/10 + z**4/12 - 4*z**3/9 - 3*z**2/2 + 6. Let m(u) be the second derivative of r(u). Factor m(d).
2*(d + 1)*(d + 4)*(2*d - 1)/3
Let d(g) be the third derivative of g**8/96 - g**7/84 - g**6/120 + 550*g**2. Factor d(a).
a**3*(a - 1)*(7*a + 2)/2
Let b = 3460 + -3458. Factor 4/13*k**3 + 0 + 0*k + 0*k**b + 2/13*k**4.
2*k**3*(k + 2)/13
Let b = 25 - 41. Let u(g) = g + 19. Let m be u(b). Factor 0 - 6 + m - 12 - 5*k**2 - 20*k.
-5*(k + 1)*(k + 3)
Let y(z) be the second derivative of 0 - 28*z - 5/12*z**4 - 1/4*z**5 + 5/2*z**2 + 5/6*z**3. Factor y(m).
-5*(m - 1)*(m + 1)**2
Suppose -5*o = 35, 4*g - 3*g - 3*o = 21. Determine c, given that 1/9*c**3 + 0 + g*c**2 + 0*c = 0.
0
Let g(k) be the first derivative of 16*k**5/5 + 5*k**4 - 136*k**3/3 + 74*k**2 - 48*k - 37. Factor g(i).
4*(i - 1)**2*(i + 4)*(4*i - 3)
Let s be (3/((-9)/2))/(99/(-22)). Let l(k) be the first derivative of s*k**3 + 1/9*k**2 + 3 - 4/9*k - 1/18*k**4. Suppose l(h) = 0. Calculate h.
-1, 1, 2
Let y be (-32)/(-6)*663/884. Let 1/2*m**y + 1/2*m**2 - 1/4*m**5 - 7/4*m + 2*m**3 - 1 = 0. What is m?
-1, 1, 4
What is t in -3/7*t**3 + 6/7*t + 0 - 3/7*t**2 = 0?
-2, 0, 1
Let z be (-4)/6 + 806/12. Let p = 67 - z. Find q such that -1/2*q**2 + 0 + p*q = 0.
0, 1
Let o = -6 - -8. Factor -7 - o*w**2 + 2 + 4 - 6*w - 3.
-2*(w + 1)*(w + 2)
Let w(o) be the third derivative of -o**7/630 - o**6/45 - o**5/36 + 7*o**4/36 + 35*o**2. Solve w(z) = 0.
-7, -2, 0, 1
Suppose -w - 3 = -2*w. Let o be (12/(-9))/((-2)/w). Determine a, given that a**5 + a**4 - a**3 + a**4 - o*a**4 = 0.
-1, 0, 1
Let b(l) be the second derivative of 0*l**2 + 1/6*l**4 + 0*l**3 + 11*l + 0 - 1/15*l**6 - 1/20*l**5 + 1/42*l**7. Find h such that b(h) = 0.
-1, 0, 1, 2
Let -2/3*v**4 - 392/3 + 20*v**3 - 506/3*v**2 + 280*v = 0. Calculate v.
1, 14
Let w(s) be the second derivative of -s**4/32 - 29*s**3/8 - 2523*s**2/16 + 182*s + 2. Suppose w(p) = 0. Calculate p.
-29
Let d(u) be the third derivative of u**7/210 - 67*u**6/60 + 1583*u**5/20 - 4355*u**4/6 + 8450*u**3/3 + u**2 + u. Suppose d(a) = 0. What is a?
2, 65
Let j be (1 - 3)/10*0. Let x(q) be the third derivative of 0 + 1/27*q**3 + j*q - 1/540*q**6 - 1/36*q**4 + 1/90*q**5 + 3*q**2. Solve x(g) = 0 for g.
1
Let m(h) = 30*h**3 + 12*h**2 - 129*h + 105. Let y(n) = 7*n**3 + 3*n**2 - 32*n + 26. Let k(o) = 2*m(o) - 9*y(o). Suppose k(x) = 0. Calculate x.
-4, 1, 2
Let m(g) = g**3 + 7*g**2 + 2*g + 10. Let k be m(-7). Let l be 3*-1 - 44/k. Factor 1 + 8*p + p**2 - 1 + p**2 + l.
2*(p + 2)**2
Solve 20/7 - 6/7*y - 2*y**2 = 0.
-10/7, 1
Suppose -171 = -12*p + 21. Let y = 14 + -10. Factor -y + l - 6*l**2 + p*l**2 - 12*l**2 - 7*l.
-2*(l + 1)*(l + 2)
Let z(x) be the second derivative of x**5/30 + x**4/18 - 4*x**3/9 - 4*x**2/3 - 92*x + 2. Solve z(d) = 0 for d.
-2, -1, 2
Factor 2*x**2 + 0*x + 0 + 1/4*x**3.
x**2*(x + 8)/4
Let y(x) be the first derivative of x**4/4 + 2*x**3 + 5*x**2/2 - 6*x + 9. Let o(q) = 6*q**2 + 4*q - 5. Let z(v) = 6*o(v) - 5*y(v). Let z(p) = 0. What is p?
0, 1/5, 1
Let j(w) be the first derivative of -4*w**3/3 - 10*w**2 + 56*w - 67. Factor j(u).
-4*(u - 2)*(u + 7)
Let d(a) be the first derivative of -2/105*a**5 + 1/3*a**2 - 4/21*a + 7 - 2/7*a**3 + 5/42*a**4. Determine b, given that d(b) = 0.
1, 2
Let y(h) be the third derivative of -h**8/504 + 2*h**7/315 + 7*h**6/90 - 4*h**5/15 - 5*h**4/4 + 6*h**3 + 556*h**2. Determine r so that y(r) = 0.
-3, -2, 1, 3
Let a be (5264/1320 + -4)*5*-1. Let m(t) be the first derivative of -8/11*t - a*t**3 - 6 - 4/11*t**2. Find u such that m(u) = 0.
-2
Let z be 9 - (286/77 + 18/63). Find t, given that 0*t**3 - 6/7*t**z + 6/7*t + 0 - 12/7*t**4 + 12/7*t**2 = 0.
-1, 0, 1
Factor 7*l**2 + 18*l**2 + l**4 + 5 + 129*l**3 - 120*l**3 + 5 + 27*l.
(l + 1)**2*(l + 2)*(l + 5)
Let m be (-8)/14*(-5 + (-125)/10). Let n(h) be the second derivative of 0*h**3 + m*h + 0*h**2 + 1/36*h**4 + 0. Factor n(u).
u**2/3
Factor 3577*v + 319*v**2 - 1113*v + 2810 + 4*v**4 + 326 + 389*v**2 + 88*v**3.
4*(v + 4)**2*(v + 7)**2
Let t be (15/8)/(((-45)/(-66))/(150/275)). Solve -1/2*a - t*a**2 + 1 = 0 for a.
-1, 2/3
Let o(a) be the third derivative of -2/21*a**3 + 0*a**4 + 0*a + 1/140*a**5 + 0 + 24*a**2 + 1/840*a**6. Solve o(s) = 0 for s.
-2, 1
Let m be 152/616 - (6/(-8) - 150/(-264)). Find n, given that -3/7*n**2 + 6/7 + m*n = 0.
-1, 2
Let b(q) be the first derivative of -2*q**5/25 - 2*q**4/5 - 4*q**3/5 - 4*q**2/5 - 2*q/5 + 135. Solve b(v) = 0.
-1
Factor 0 + 2/7*g