 15*o. Let m(u) be the second derivative of l(u). Factor m(i).
2*i*(i + 1)/3
Let p be 143/156 + ((-120)/18 - -6). Determine q, given that 0 + 0*q - 1/2*q**2 + 7*q**4 - p*q**3 - 9*q**5 = 0.
-2/9, 0, 1/2
Suppose 8*v = 13 - 5. Let f(x) = 3*x**2 - 10*x + 7. Let y(c) = -c + 1. Let m(h) = v*f(h) + 5*y(h). Let m(b) = 0. What is b?
1, 4
Suppose -3*n + 68 = -q, -4*n + 2*q - 14 = -102. Let l be 117/15 + n/(-40). Solve l*w + 27/5*w**2 + 12/5 = 0.
-2/3
Let o be 11/((-385)/(-168))*(-2)/(-8). Let 0 - o*c**3 + 6/5*c + 3/5*c**4 - 3/5*c**2 = 0. Calculate c.
-1, 0, 1, 2
Let w = -807 - -807. Let p(i) be the first derivative of 0*i - 1/3*i**6 + i**2 + 4/3*i**3 + w*i**4 + 9 - 4/5*i**5. Let p(q) = 0. What is q?
-1, 0, 1
Let j(q) be the third derivative of q**8/336 - q**7/56 - q**6/120 + 4*q**5/15 - q**4/2 - 2*q**3/3 + 42*q**2. Factor j(k).
(k - 2)**3*(k + 2)*(4*k + 1)/4
Let d(c) = -3*c - 21. Let o be d(-10). Solve -4*n + 10*n**2 + 2*n**2 + o*n - 3 + 4*n = 0.
-1, 1/4
Let f(g) be the first derivative of g**6/30 - g**5/5 + 8*g**3/3 - g**2/2 + 6. Let q(n) be the second derivative of f(n). Let q(r) = 0. What is r?
-1, 2
Solve 640 + 992*l + 14*l**4 - 84*l**4 + 74*l**4 + 104*l**3 + 528*l**2 = 0 for l.
-20, -2
Let d(l) be the second derivative of l**7/105 + 2*l**6/75 - 6*l**5/25 + 7*l**4/15 - l**3/3 + 76*l + 2. Factor d(j).
2*j*(j - 1)**3*(j + 5)/5
Let c(q) be the first derivative of 1/5*q**2 + 6 + 1/10*q**4 + 3/5*q - 7/15*q**3. Factor c(b).
(b - 3)*(b - 1)*(2*b + 1)/5
Suppose -639*y - 838*y - 8*y**3 + 1635*y - 118*y**2 - 32 = 0. Calculate y.
-16, 1/4, 1
Let m be (-8)/(-2) + -1*0/(-4). Factor -35*a - 13*a + 12*a**3 - 3 - 8*a**2 + m*a**4 - 9 - 20.
4*(a - 2)*(a + 1)*(a + 2)**2
Let u be (-25)/(-100)*32/2. Suppose 3*l - 21 = -3*j - 0*l, 0 = 3*j - 2*l + u. Factor 2/3*q - 2/3*q**j + 4/3.
-2*(q - 2)*(q + 1)/3
Let h(v) = -9*v**3 - 42*v**2 - 43*v + 18. Let s(y) = y - 53*y - 84*y**2 - 35*y - 18*y**3 + 36. Let i(p) = 9*h(p) - 4*s(p). Factor i(q).
-3*(q + 2)*(q + 3)*(3*q - 1)
Let v(l) = -56*l**4 + 841*l**3 - l**2 - 1. Let q(t) = t**5 - 2*t**4 + t**2 + 1. Let a(g) = -q(g) - v(g). Let a(j) = 0. What is j?
0, 29
Let n(a) be the first derivative of 0*a + 12*a**2 - 6 - 5*a**4 + 28/3*a**3. Suppose n(p) = 0. Calculate p.
-3/5, 0, 2
Find p, given that 12005 - 5*p**3 + 19594*p + 287*p**2 - 31109*p - 772*p**2 = 0.
-49, 1
Factor -32/3*l**2 + 24 - 44/3*l + 4/3*l**3.
4*(l - 9)*(l - 1)*(l + 2)/3
Let w(p) be the first derivative of -p**5/4 + 2*p**4/3 - p**3/6 - p**2 - 10*p - 8. Let q(m) be the first derivative of w(m). Suppose q(v) = 0. What is v?
-2/5, 1
Let b = 17793/89015 + 2/17803. Let w be (-1 + -1 + 6)/1. Let -8/5*t**2 + 0 - b*t**w + 4/5*t + t**3 = 0. Calculate t.
0, 1, 2
Let o be 27/(-5)*(17/(-51) + 0). Factor -2/5*z - 13/5*z**4 + 0 + z**5 + 1/5*z**2 + o*z**3.
z*(z - 1)**3*(5*z + 2)/5
Suppose -2*a + 7*a - 10 = 0. Let b(l) be the first derivative of 2*l - 3 - 2/3*l**3 + l**a - 1/2*l**4. Factor b(h).
-2*(h - 1)*(h + 1)**2
Let h(n) be the second derivative of -n**4/12 + n**3 + 7*n**2/2 - 5*n + 2. Factor h(g).
-(g - 7)*(g + 1)
Suppose -8 + 18 = -5*s. Let m = s - -5. Factor -15 + 39 - 15*b**m - 7*b - 89*b**2 - 29*b + 35*b**2.
-3*(b + 2)**2*(5*b - 2)
Let q(g) be the third derivative of -5*g**8/1008 - 5*g**7/126 - g**6/36 + 7*g**5/18 + 5*g**4/24 - 5*g**3/2 - g**2 + 3*g. Suppose q(p) = 0. Calculate p.
-3, -1, 1
Let r be 0 - ((-1)/(-48))/(1/34). Let c = -1/24 - r. Factor 1/3*i**4 + 0*i**2 - 1/3 + c*i**3 - 2/3*i.
(i - 1)*(i + 1)**3/3
Let m(q) be the third derivative of 35*q**2 - 5/16*q**4 + 0 + 0*q - 3/40*q**5 - 1/2*q**3. Let m(y) = 0. What is y?
-1, -2/3
Let o(v) be the third derivative of v**7/1470 - v**6/120 + v**5/70 + 4*v**4/21 - 16*v**3/21 + 9*v**2 + 17*v. Suppose o(i) = 0. Calculate i.
-2, 1, 4
Let n(q) be the first derivative of q**6/45 - q**4/5 + 16*q**3/45 - q**2/5 - 7. What is g in n(g) = 0?
-3, 0, 1
Find t, given that 5*t**4 + 5*t**4 - 5*t**4 + 5*t**3 = 0.
-1, 0
Let y(g) be the third derivative of g**7/70 - g**6/4 - 27*g**5/20 + 9*g**4/2 + 2*g**2 - 67. Suppose y(a) = 0. What is a?
-3, 0, 1, 12
Factor -4/5*y**2 - 112/5*y - 784/5.
-4*(y + 14)**2/5
Suppose 3 + 13 = 2*g. Let r be (4/18)/(g/12). What is q in 0*q**2 - 1/3 + 2/3*q**3 - 2/3*q + r*q**4 = 0?
-1, 1
Let v(y) be the third derivative of -2/33*y**3 - 3/44*y**4 + 10*y**2 - 3/110*y**5 + 0*y + 0. Factor v(f).
-2*(3*f + 1)*(3*f + 2)/11
Let u = -10 - -17. Determine f so that -3*f**2 - 9*f**2 + 3*f**2 - u*f**3 - 2*f = 0.
-1, -2/7, 0
Let 11/6*b - 2/3 + 1/6*b**3 + 1/6*b**4 - 3/2*b**2 = 0. What is b?
-4, 1
Let m(l) be the second derivative of l**7/4200 + l**6/1200 - l**5/100 - l**4/3 - l. Let d(r) be the third derivative of m(r). Factor d(z).
3*(z - 1)*(z + 2)/5
Let n = 371 + -369. Let l be (-3)/(-2) + (-5)/(-2). Suppose 1/2*m**n + 0*m + 0 + 1/2*m**l - m**3 = 0. Calculate m.
0, 1
Let n(u) be the third derivative of 0 - 1/180*u**5 + 0*u - 7/18*u**3 - 6*u**2 + 1/9*u**4. Factor n(j).
-(j - 7)*(j - 1)/3
Let g be 8/3 - (2 - 3 - (-60)/20). Suppose -1/3*b**2 + 1/3*b**4 - 1/3*b**5 + 0 + b**3 - g*b = 0. Calculate b.
-1, 0, 1, 2
Let j = -72 + 42. Let q be 48/j*(-6)/4. Solve -18/5 - 2/5*t**2 - q*t = 0 for t.
-3
Suppose 1/8*g**3 - 1/8*g**4 + 0*g + 0 + 0*g**2 = 0. What is g?
0, 1
Let v(o) = o**3 - o + 28*o**2 + 0*o + 3 - 26*o**2. Let u be v(0). Factor 4*t**2 + 2/3*t**u + 6*t + 0.
2*t*(t + 3)**2/3
Let o(c) be the third derivative of -c**8/168 + 3*c**7/35 - c**6/5 - 8*c**5/3 + 16*c**4 + 92*c**2 + 3*c. Factor o(l).
-2*l*(l - 4)**3*(l + 3)
Let 4/3*a - 4/3*a**2 + 8/3 = 0. What is a?
-1, 2
Find b, given that -2*b**2 + 23 + 27 - 48 = 0.
-1, 1
Factor 212*m - 13*m**4 + 114*m**2 - 70*m**2 + 2*m**5 - 7*m**3 - 68*m + 265*m**2 - 3*m**5 - 1728.
-(m - 3)**2*(m + 3)*(m + 8)**2
Let h(a) = 36*a**2 + 9 + 5 + 13*a**4 - 7*a - 14*a**3 - 21*a - 3*a**4. Let y(f) = f**4 + f**3 + 1. Let s(k) = -h(k) + 6*y(k). Suppose s(t) = 0. Calculate t.
1, 2
Let g(h) = -h**2 + 44*h - 152. Let t be g(40). Let i(j) be the first derivative of 0*j + 4 - 49/5*j**5 + 2*j**2 + t*j**3 + 21/4*j**4. Factor i(p).
-p*(p - 1)*(7*p + 2)**2
Let x(l) = l - 4. Let y be x(6). Factor -1435 + 1403 - 3*g**y - g**2 - 36*g.
-4*(g + 1)*(g + 8)
Let b(u) be the third derivative of u**7/1050 + 2*u**6/225 + u**5/30 + u**4/15 + 14*u**3/3 + 17*u**2. Let h(t) be the first derivative of b(t). Factor h(l).
4*(l + 1)**2*(l + 2)/5
Let p(r) be the first derivative of r**6/15 - 4*r**5/25 - 13*r**4/10 + 28*r**3/15 + 24*r**2/5 - 726. Find m, given that p(m) = 0.
-3, -1, 0, 2, 4
Let m(r) be the first derivative of -7*r**5/10 - 2*r**4 - 2*r**3/3 + 1088. Suppose m(z) = 0. What is z?
-2, -2/7, 0
Let n(t) = t + 12. Let d be n(-7). Let r = -544/9 - -2738/45. Find p, given that 0*p**2 - 1/5*p + 0*p**4 - 1/5*p**d + r*p**3 + 0 = 0.
-1, 0, 1
Let q be 55/20 - 6/8. Suppose -q*o = -0*o - 10. Factor -3*l**o - 1 + 6*l**2 - 2 - 3*l**4 - l - 2*l + 6*l**3.
-3*(l - 1)**2*(l + 1)**3
Find l, given that -871*l + 805*l - 27*l**3 + 21*l**3 - 9*l**3 + 171*l**2 = 0.
0, 2/5, 11
Let h(t) be the first derivative of 5*t**4/14 + 146*t**3/21 + 240*t**2/7 - 216*t/7 + 135. Factor h(n).
2*(n + 6)*(n + 9)*(5*n - 2)/7
Let n = -126 + 126. Let j(h) be the third derivative of 0*h**5 + 0*h**3 + 1/30*h**6 - 2/35*h**7 + 1/42*h**8 + 0 + n*h**4 + 0*h - h**2. Factor j(p).
4*p**3*(p - 1)*(2*p - 1)
Let r(m) = m**2 + 4*m - 3. Suppose p - 3*s - 10 = 0, -5*s + 1 - 41 = 3*p. Let b be r(p). Let -v**2 - 2*v - 3*v**2 - v + b + 5*v**2 = 0. What is v?
1, 2
Factor -722/9 - 572/9*o**2 + 8*o**3 - 2/9*o**4 - 152*o.
-2*(o - 19)**2*(o + 1)**2/9
Let f(l) be the second derivative of 2/21*l**7 - 1/5*l**5 + 0 + 0*l**2 + 0*l**3 + 1/3*l**4 - 2/15*l**6 - 3*l. Factor f(s).
4*s**2*(s - 1)**2*(s + 1)
Let a(q) = q**3 + 12*q**2 + 4. Let h be 3 - (5 - 0) - 10. Let z be a(h). Factor 4*u**5 + 11*u**z + 4*u**5 - 7*u**4.
4*u**4*(2*u + 1)
Let y(h) be the third derivative of h**5/30 + 4*h**4/3 + 28*h**3/3 - 29*h**2. Solve y(r) = 0.
-14, -2
Suppose 2*r + 2 = 3*k, -4*k - 4 = -9*r + 5*r. Let o be (-1)/(k + 36/(-8)). Factor -o - 2/3*z**2 + 8/3*z.
-2*(z - 3)*(z - 1)/3
Suppose -m + 0*m = 3*d - 5, 3*d - 25 = -5*m. Suppose d = 9*q - 28 + 10. Factor 0*s - 4/9*s**q + 2/9*s**4 + 2/9 + 0*s**3.
2*(s - 1)**2*(s + 1)**2/9
Suppose -14*t + 20*t = 30. Suppose -u**t - 3*u**4 + 3*u**4 - u**4 + 5*u**4 = 0. What is u?
0, 4
Suppose g +