/2*t**2 - 6*t**3. Factor b(l).
-3*(l + 1)**2*(l + 4)
Suppose 0 = 5*n - n + 4. Let f(a) = -a**3 + a**2 - a - 1. Let r(c) = -12*c**2 - 34*c - 24. Let i(l) = n*f(l) - r(l). Let i(q) = 0. What is q?
-5, -1
Suppose 2*u + 486 = 34*u + 130*u. Suppose 0 + 9/7*t**u + 15/7*t + 3/7*t**4 - 27/7*t**2 = 0. What is t?
-5, 0, 1
Let w be 2/1*(-11)/2. Let r(u) = u + 15. Let m be r(w). Factor -48*q**m - 10 + 4 + 18*q**3 - 2*q**2 + 32*q**5 + 6.
2*q**2*(q - 1)*(4*q - 1)**2
Let z(p) be the third derivative of -p**5/12 + 145*p**4/24 - 65*p**3 - 952*p**2. Find l such that z(l) = 0.
3, 26
Let x = -2971 - -5943/2. Factor 1 + 1/2*p - x*p**2.
-(p - 2)*(p + 1)/2
Let q(g) = -40*g**2 + 2*g + 10. Let r be q(0). Let -r*b - 10 - 5/2*b**2 = 0. Calculate b.
-2
Suppose 6*p - 80 + 62 = 0. Let w be p/(3/(-4))*30/(-660). Factor -16/11*m - w*m**2 - 32/11.
-2*(m + 4)**2/11
Let c be (6/(-24))/(22/(-176)). Factor 0*q**3 + 0*q - 1/5*q**5 - 3/5*q**4 + 0*q**c + 0.
-q**4*(q + 3)/5
Let r = -962 + 968. Let d(b) be the third derivative of 0*b - 5*b**2 + 2/3*b**3 + 1/12*b**5 - 2/3*b**4 + 0 + 7/120*b**r. Factor d(n).
(n - 1)*(n + 2)*(7*n - 2)
Let v be (6 + 4 + (-1720)/165)/((-2)/30). Let -24/11*j - v*j**2 + 24/11*j**3 - 2/11*j**4 + 72/11 = 0. Calculate j.
-1, 1, 6
Let i(t) be the first derivative of 15 + 0*t + 3/4*t**4 - 1/5*t**5 + 0*t**2 + 0*t**3. Determine o so that i(o) = 0.
0, 3
Solve 486/5*t + 36/5*t**2 + 2/15*t**3 + 0 = 0.
-27, 0
Suppose 0 = 2*u - 7 + 1. Let t be 0/1 + (u - 0). Factor 10*h - 8*h**2 + 2 + 0 + 2*h**t - 6.
2*(h - 2)*(h - 1)**2
Solve 31*y - 16 - 12*y**2 - 12 + 7 + y**3 + y**2 = 0.
1, 3, 7
Let k be 25/200*(15/10 - (-1)/2). Factor 0*n + 1 - k*n**2.
-(n - 2)*(n + 2)/4
Find w such that -84/5*w**2 - 104*w + 34/5*w**3 - 80 - 2/5*w**4 = 0.
-2, -1, 10
Let i(a) = -5*a**4 - 110*a**3 - 209*a**2 - 104*a - 10. Let s(z) = -11*z**4 - 221*z**3 - 419*z**2 - 209*z - 25. Let c(t) = -5*i(t) + 2*s(t). Factor c(g).
3*g*(g + 1)**2*(g + 34)
Solve 922*u**5 + 20*u**3 + 13*u**4 - 918*u**5 + 11*u**4 = 0.
-5, -1, 0
Suppose -7*n + 6*n = -21. Let m be 12/n*(0 - -7). Determine t so that -3*t**2 + 2*t - 4*t - m*t = 0.
-2, 0
Factor 1/4*n**4 + 0*n**3 + 0*n - n**2 + 0.
n**2*(n - 2)*(n + 2)/4
Let m be 132/24*(-11)/3. Let l = m - -62/3. Factor l*v**2 - 1/2*v**4 + 0*v + 0 - 1/2*v**3 + 1/2*v**5.
v**2*(v - 1)**2*(v + 1)/2
Let r(p) = 2*p**2 + 1. Let w(h) = -h**3 + 31*h**2 - 72*h - 427. Let d(c) = -5*r(c) + w(c). Factor d(o).
-(o - 12)**2*(o + 3)
Let f(k) be the third derivative of 5*k**8/336 + k**7/14 - 2*k**6/3 + k**5 + k**2 + 14. Factor f(g).
5*g**2*(g - 2)*(g - 1)*(g + 6)
Let g(y) = 9*y**2 - 367*y + 368. Let b(s) = 44*s**2 - 1836*s + 1840. Let j(a) = -5*b(a) + 24*g(a). Find z such that j(z) = 0.
1, 92
Let h(t) be the second derivative of -t**8/1680 - t**7/315 + 5*t**4/2 - 2*t. Let d(k) be the third derivative of h(k). Factor d(i).
-4*i**2*(i + 2)
Suppose 74 + 115 - 2525 = -584*w. Factor -27 + 63*s - 3/4*s**w - 183/4*s**2 + 21/2*s**3.
-3*(s - 6)**2*(s - 1)**2/4
Let j = 13 - 7. Let q(n) = -3*n + 20. Let f be q(j). Find h, given that 2*h - 2*h**3 + 4/3*h**f - 4/3 = 0.
-1, 2/3, 1
Factor 2/11*z**3 + 46/11*z - 2 - 26/11*z**2.
2*(z - 11)*(z - 1)**2/11
Let m be ((-980)/(-88) - 11)*(-8)/(-6). Solve 2/11 + m*k**2 + 4/11*k = 0.
-1
Let r(s) be the second derivative of -s**5/150 - s**4/90 + 17*s**3/45 - s**2 + 551*s. Factor r(m).
-2*(m - 3)*(m - 1)*(m + 5)/15
Let a(t) be the third derivative of -5*t**7/252 - t**6/6 - 3*t**5/5 + t**4/3 + 4*t**2. Let m(f) be the second derivative of a(f). What is q in m(q) = 0?
-6/5
Let w(o) be the third derivative of o**10/1890 - o**9/630 + 3*o**8/2240 - o**7/2520 + o**4/6 - 5*o**2. Let x(a) be the second derivative of w(a). Factor x(h).
h**2*(h - 1)*(4*h - 1)**2
Let o be 11/(-22) - (-6)/12. Factor o - 3/2*d**4 - 9/2*d**3 - 3*d**2 + 0*d.
-3*d**2*(d + 1)*(d + 2)/2
Let p(t) be the third derivative of 2*t**2 + 81/2*t**3 + 9/4*t**4 + 0*t + 1/20*t**5 + 16. Find l such that p(l) = 0.
-9
Let h(z) be the third derivative of 0 - 3/10*z**3 - 1/10*z**4 + 13*z**2 + 0*z - 1/100*z**5. Solve h(o) = 0.
-3, -1
Let i(b) be the third derivative of b**7/5460 - b**5/780 + 8*b**3/3 - 14*b**2. Let j(h) be the first derivative of i(h). Suppose j(o) = 0. What is o?
-1, 0, 1
Let a(u) = 108*u + 5402. Let r be a(-50). Let 10/7*d**2 - 2/7*d**3 - r*d + 6/7 = 0. What is d?
1, 3
Let h(b) be the first derivative of -b**3/5 + 177*b**2/5 - 10443*b/5 + 86. Factor h(t).
-3*(t - 59)**2/5
Let y(r) be the second derivative of 0 + 0*r**5 + 0*r**2 + 0*r**4 - 3*r - 1/147*r**7 - 2/105*r**6 + 0*r**3. Solve y(j) = 0 for j.
-2, 0
Suppose 0 = 37*g - 44*g + 84. Let j be g/30 + 13/(-10)*-2. Suppose 8/15*a + 0*a**2 - 2/15*a**j + 0 = 0. Calculate a.
-2, 0, 2
Let w be 26/4 + (2 - 10/4). Find z, given that 0*z**3 + w*z**3 + 12*z - 3*z**2 - 3*z**3 + 9*z**4 - 21*z**2 = 0.
-2, 0, 2/3, 1
Find k, given that 140*k**2 - 11*k**4 + 8*k**3 + 61*k**3 + 51*k**4 + 28*k**3 + 60*k + 5*k**5 + 18*k**3 = 0.
-3, -2, -1, 0
Let k(t) = 8*t**3 - t**2 + t - 1. Let n be k(1). Suppose a**3 + 44*a**2 + n*a**3 - 12*a + 8*a**3 = 0. Calculate a.
-3, 0, 1/4
Determine j so that 2/5*j**2 + 0 + 4/5*j - 2/5*j**3 = 0.
-1, 0, 2
Let v(t) = t + 11. Let o be v(-8). Let x be (1/5)/(2 - o)*-1. Factor 3/5*f**2 - x*f**3 + 0 - 2/5*f.
-f*(f - 2)*(f - 1)/5
Let m(b) be the third derivative of 9*b**8/98 - 18*b**7/49 + 15*b**6/28 - 29*b**5/84 + 5*b**4/42 - b**3/42 + 287*b**2 - 2*b. Suppose m(s) = 0. What is s?
1/6, 1
Let j be (-2)/4 + (-4)/(-38). Let b = j - -425/114. Factor 4/3 + 2*c**2 - 2/3*c**3 - 2/3*c**4 + b*c.
-2*(c - 2)*(c + 1)**3/3
Let s(z) = 2*z - 14. Let b(c) = 3*c - 13. Let p(q) = 3*b(q) - 4*s(q). Let w be p(-13). Suppose -2*y + 2*y**2 - 5*y**2 + w*y - 2*y**2 = 0. Calculate y.
0, 2/5
Find v, given that 2188*v**4 + v**3 - 2187*v**4 - 1 + 2*v - 3*v**3 = 0.
-1, 1
Suppose d - 6 = -0*d. Let x be d + -1 + (-8 - -6). Suppose 4*a + 3*a**5 - 4*a**2 - a + 5*a**4 - x*a - 4*a**3 = 0. Calculate a.
-2, -2/3, 0, 1
Suppose -4*t = -20, 3*t - 20 = -5*u - 0*t. Let z be (u - 2/14)*28/16. Solve -z*g**3 - 1 + 2*g**2 + 1/2*g = 0 for g.
-2/3, 1
Let r(t) be the first derivative of -2*t**3 - 7/4*t**4 + 40 + 0*t**2 - 1/5*t**5 + 0*t. Factor r(j).
-j**2*(j + 1)*(j + 6)
Let x(w) be the first derivative of w**4/12 - w**3/3 - 23*w**2/3 + 16*w + 749. Factor x(m).
(m - 8)*(m - 1)*(m + 6)/3
Let r = -5073/4 + 1269. Factor 0*u - 3/4*u**2 + 0 - r*u**3.
-3*u**2*(u + 1)/4
Let d(g) = -g**4 + 4*g**3 + 4*g**2 - 3*g - 4. Let p(t) = -t**3 + t**2. Let h(r) = -5*d(r) - 5*p(r). Factor h(m).
5*(m - 4)*(m - 1)*(m + 1)**2
Let o(m) = m**2 + 5*m + 11. Let f(p) be the second derivative of -p**3/3 - 3*p**2 - 2*p. Let v(k) = 10*f(k) + 4*o(k). Factor v(l).
4*(l - 2)*(l + 2)
Let 0*v**3 - 4/5*v**4 + 0*v + 0 + 0*v**2 - 4/5*v**5 = 0. What is v?
-1, 0
Let i(o) be the third derivative of o**7/13860 - o**6/3960 - o**4/6 + 16*o**2. Let p(a) be the second derivative of i(a). Factor p(k).
2*k*(k - 1)/11
Let d(j) = -3*j**2 - 12*j + 15. Let u(i) = -9*i - 5. Let y(s) = -5*s - 3. Let v(l) = -4*u(l) + 7*y(l). Let f(k) = -d(k) - 18*v(k). Solve f(a) = 0.
1
Let j be 36/21 - 2 - (-360)/35. Let z = -5 + 7. Factor 3*l**2 - j*l**2 + 5*l**z + 3*l**3 - 3*l + 2.
(l - 1)*(l + 1)*(3*l - 2)
Let y be 5 + -8 + -1*(-7 - -1). Find m such that -67*m + 12*m**y - 16*m**2 - 33 + 9 + 15*m = 0.
-1, -2/3, 3
Let s(u) = -u**3 + 15*u**2 - u + 22. Let v be s(15). Determine a, given that -4*a**4 + 8*a**3 - 8*a**3 - v*a**3 - a**3 = 0.
-2, 0
Find g such that 0 + 2/13*g + 4/13*g**2 + 2/13*g**3 = 0.
-1, 0
Let k(l) be the first derivative of l**6/420 - 3*l**5/35 + 9*l**4/7 - 72*l**3/7 + 13*l**2/2 - 35. Let h(w) be the second derivative of k(w). Factor h(n).
2*(n - 6)**3/7
Let r(i) be the second derivative of 0*i**3 + 11 - 1/33*i**4 + 0*i**2 + 1/165*i**6 - 1/110*i**5 + 4*i. Solve r(p) = 0 for p.
-1, 0, 2
Let 7*i**3 - 2*i**2 - 7 + 7 - i**3 - 4*i**4 = 0. What is i?
0, 1/2, 1
Let p(z) be the third derivative of -z**7/105 - 13*z**6/60 - 2*z**5/5 - 2*z**2 - 8. Factor p(o).
-2*o**2*(o + 1)*(o + 12)
Suppose -3*x + 5*u = -46, 5*x - u + 17 - 35 = 0. Let 6/5*z - 8/5 + 2/5*z**x = 0. Calculate z.
-4, 1
Let k(l) be the second derivative of -9/20*l**5 + 2*l**3 + 9*l + 6*l**2 - 5/4*l**4 + 0. Suppose k(j) = 0. What is j?
-2, -2/3, 1
Let v = 945 - 941. Factor 2/9*a**v + 0 - 4/9*a**3 - 2/9*a**2 + 4/9*a.
