**4 + 1/20*k**5 + 1/2*k**2 - 13 + 2/3*k**3. Solve w(y) = 0.
-2, -1, 0
Let o(n) be the second derivative of n**6/135 - n**5/45 + n**4/54 + 42*n. Factor o(w).
2*w**2*(w - 1)**2/9
Let w(t) = -1612*t + 3226. Let l be w(2). Suppose 16/5*p + 12/5 + 4/5*p**l = 0. Calculate p.
-3, -1
Let o(t) = -10*t**2 + 12*t + 24. Let j(y) = 9*y**2 - 10*y - 26. Let h(u) = -6*j(u) - 5*o(u). Suppose h(z) = 0. Calculate z.
-3, 3
Let h(a) be the second derivative of a**5/4 - 20*a**4/3 + 200*a**3/3 - 320*a**2 + 167*a. What is d in h(d) = 0?
4, 8
Let a be 12/(-408) - (-212)/272. Factor a*g**3 + 0 - 1/8*g**4 + 1/8*g**2 - 3/4*g.
-g*(g - 6)*(g - 1)*(g + 1)/8
Let m(k) be the first derivative of -k**3/12 + 5*k**2/4 - 25*k/4 - 112. Find p, given that m(p) = 0.
5
Let w = 227 + -224. Solve -4/7*o**2 + 0 - 2/7*o - 2/7*o**w = 0.
-1, 0
Let h(v) be the first derivative of 8/3*v**3 + 0*v + 1/2*v**4 - 6/5*v**5 - 3/8*v**6 + 15 - 2*v**2. Factor h(u).
-u*(u + 2)**2*(3*u - 2)**2/4
Let y = -57/34 - -2725/1666. Let n = y + 398/147. Determine h, given that 2/3 + 4/3*h**4 + 5/3*h + h**5 - 2*h**2 - n*h**3 = 0.
-2, -1, -1/3, 1
Let z(y) be the third derivative of -y**7/780 - 19*y**6/2340 + y**5/130 - 2*y**3/3 - 6*y**2. Let j(i) be the first derivative of z(i). Factor j(n).
-2*n*(n + 3)*(7*n - 2)/13
Determine h, given that -5*h + 16*h**2 + 5*h**2 + h**3 - 16*h**3 - h = 0.
0, 2/5, 1
Solve -11*p**5 - 4*p**4 + 9*p**5 + 26*p**5 + 5*p**2 + 2*p**4 - 21*p**3 = 0.
-1, 0, 1/4, 5/6
Factor 2/11*b**2 - 2/11*b**3 + 0*b + 0.
-2*b**2*(b - 1)/11
Let o be 10 + (19 + -21)*3. What is z in -3/4*z - 5/4*z**2 + 1 + 3/4*z**3 + 1/4*z**o = 0?
-4, -1, 1
Suppose 4*a = 3*a + 2. Suppose -a*b + 0*b = -4. Solve 1/5*u**b + 9/5 - 6/5*u = 0 for u.
3
Let r = -2302 - -386737/168. Let l(a) be the third derivative of -1/80*a**5 + a**2 + 0 + r*a**7 - 1/12*a**3 - 7/480*a**6 + 7/96*a**4 + 0*a. Factor l(h).
(h - 1)**2*(h + 1)*(5*h - 2)/4
Let f(u) be the second derivative of -5*u**4/12 - 10*u**3/3 - 15*u**2/2 + 19*u + 3. Suppose f(c) = 0. What is c?
-3, -1
Suppose -3*i = -30*i. Let d(y) = -y**3 + 7*y**2 - 7*y + 6. Let j be d(6). Factor 3/2*a - 3/2*a**3 + i*a**2 + j.
-3*a*(a - 1)*(a + 1)/2
Let b(d) be the third derivative of -d**6/60 + 2*d**5/5 - 47*d**4/12 + 20*d**3 + 364*d**2. Determine h so that b(h) = 0.
3, 4, 5
Let f(r) be the third derivative of -3*r**7/490 + 37*r**6/280 - 3*r**5/35 - 128*r**2 + 2*r. Suppose f(o) = 0. What is o?
0, 1/3, 12
Let x(t) be the second derivative of t**5/90 - t**4/54 - 4*t**3/27 + 4*t**2/9 + 108*t. Factor x(n).
2*(n - 2)*(n - 1)*(n + 2)/9
Factor -2*u - 28/11*u**2 + 6/11.
-2*(u + 1)*(14*u - 3)/11
Let i(y) = -3*y - 12. Let s be i(-8). Let a = s - 0. Suppose 48*x**2 + x**4 + 64*x + a*x**3 - 21 + 21 = 0. Calculate x.
-4, 0
Let r(z) be the third derivative of 0 + 1/30*z**5 + 0*z**3 + 0*z + 25*z**2 - 1/24*z**4. Factor r(l).
l*(2*l - 1)
Determine x so that -55/4*x - 5/4*x**3 - 35/4*x**2 - 25/4 = 0.
-5, -1
Let j(i) be the second derivative of 2/15*i**6 + 0*i**3 + 1/3*i**4 + 0*i**2 + 2/5*i**5 - 5*i + 0. Factor j(h).
4*h**2*(h + 1)**2
Suppose 4/7*c**3 + 0*c + 0 + 2/7*c**4 - 2/7*c**5 + 0*c**2 = 0. What is c?
-1, 0, 2
Let p(n) be the first derivative of n**4/28 - 20*n**3/21 - 3*n**2/2 + 62. Factor p(m).
m*(m - 21)*(m + 1)/7
Let h be (1 - 15/18) + (-5)/(-6). Determine s so that -24*s**2 - h + 1 + 22*s**2 = 0.
0
Let v(d) = -d**2 - 2*d + 1. Let m(n) = n**2 - 564*n - 80658. Let p(y) = m(y) + 2*v(y). Solve p(l) = 0.
-284
Let n = -14 + 16. Suppose 1052 - 2*x - 4*x**n - 1052 = 0. Calculate x.
-1/2, 0
Let p(l) be the first derivative of -l**4/18 + 28*l**3/27 - 49*l**2/9 - 12. Factor p(n).
-2*n*(n - 7)**2/9
Let m = -12284/315 - -39. Let c(x) be the third derivative of m*x**7 + 0*x - 1/1008*x**8 + 0*x**4 + 0*x**3 + 0*x**5 + 0 - 1/360*x**6 + 7*x**2. Factor c(r).
-r**3*(r - 1)**2/3
Let f(q) = 20*q + 1. Let p be f(6). Factor -t**2 + p*t**2 - 18*t**4 + 26*t**4 + 32 + 51*t + 61*t + 52*t**3.
4*(t + 2)**3*(2*t + 1)
Let l(n) be the second derivative of -40*n - 125/14*n**2 + 1/210*n**6 - 25/21*n**3 + 0 - 1/10*n**5 + 5/7*n**4. Factor l(o).
(o - 5)**3*(o + 1)/7
Let s be 180/135*(21/12)/1. Let -5*q**2 + 5/3*q**4 - s*q - 1/3*q**3 + 2/3 = 0. Calculate q.
-1, 1/5, 2
Suppose -105 = -15*f - 30. Let t(x) be the third derivative of 0*x**4 + 0*x + 1/60*x**6 + 1/10*x**f - 9*x**2 + 0*x**3 + 0. Find l such that t(l) = 0.
-3, 0
Let f(g) = 2*g - 5. Let a be f(4). Let z = -917 - -921. Suppose 3/5*y**2 + 0*y**a + 0 - 1/5*y**z + 2/5*y = 0. Calculate y.
-1, 0, 2
Let g(x) be the first derivative of -x**7/147 - x**6/105 + x**5/70 + x**4/42 - x + 17. Let m(s) be the first derivative of g(s). Find t such that m(t) = 0.
-1, 0, 1
Let n(s) be the first derivative of 15*s**4/4 + 13*s**3 + 33*s**2/2 + 9*s - 264. Find u, given that n(u) = 0.
-1, -3/5
Let h(s) be the second derivative of 0*s**2 + 1/24*s**4 - 2*s - 1/60*s**6 + 1/168*s**7 + 0 + 0*s**5 - 1/24*s**3. Factor h(y).
y*(y - 1)**3*(y + 1)/4
Suppose 5*z + 2*p = -2*p + 190, z - 38 = 4*p. Factor -5 - 10*g + 42*g**3 + z*g**3 + 5*g**2 - 70*g**3.
5*(g - 1)*(g + 1)*(2*g + 1)
Suppose 25*o - 431 + 295 = -9*o. Let -5/2*x**3 - 11/6*x**5 + 1/3*x**2 + 0 + 0*x + 4*x**o = 0. What is x?
0, 2/11, 1
Let a be (6 - -2 - 0) + 1. Let u(j) = -j**2 + 10*j - 5. Let o be u(a). Solve -6 + o*d**2 - 9*d - 5*d**2 - 2*d**2 = 0 for d.
-2, -1
Suppose -768 = -40*v + 34*v. Factor -10*q**3 + 72*q**2 + 9*q**3 - 160*q + v + q**4 - 13*q**3.
(q - 4)**3*(q - 2)
Let p(y) be the third derivative of -3*y**8/112 + 8*y**7/35 - 21*y**6/40 - y**5/5 + 3*y**4/2 + 103*y**2. Suppose p(d) = 0. What is d?
-2/3, 0, 1, 2, 3
Let 247*n**3 - 30*n**2 + 54 - 134*n**3 - 116*n**3 - 21*n = 0. Calculate n.
-9, -2, 1
Let p(m) = -4*m**3 - 2*m**2 - 25*m - 3. Let g(a) = -36*a**3 - 16*a**2 - 232*a - 28. Let v(r) = 3*g(r) - 28*p(r). Factor v(l).
4*l*(l + 1)**2
Let f = -311 - -313. Let z(k) be the second derivative of 1/24*k**3 + 0*k**f + 1/48*k**4 + 0 - 6*k. Let z(x) = 0. Calculate x.
-1, 0
Suppose -5*m = 15, -4*d - 45*m + 11 = -46*m. Find x, given that -81/4*x**3 + 0 + 3*x - 21/4*x**5 - 39/2*x**4 - 3*x**d = 0.
-2, -1, 0, 2/7
Let b(w) be the first derivative of -2*w**3/9 - w**2 + 20*w/3 - 120. Factor b(p).
-2*(p - 2)*(p + 5)/3
Let w(f) be the third derivative of 7/450*f**6 + 1/1575*f**7 + 0*f + 1/9*f**3 + 0 - 1/2520*f**8 - 46*f**2 + 19/180*f**4 + 13/225*f**5. Factor w(z).
-2*(z - 5)*(z + 1)**4/15
Let x(d) = -d**2 + 40*d + 95. Let a(y) = 8*y**2 - 46*y - 100. Let o(i) = -i**2 + i + 1. Let k(w) = a(w) + 6*o(w). Let t(z) = -5*k(z) - 6*x(z). Factor t(c).
-4*(c + 5)**2
Let q(m) be the third derivative of -m**6/120 + 3*m**5/20 - 7*m**4/12 - 4*m**2 + 54*m. Factor q(i).
-i*(i - 7)*(i - 2)
Let l(g) be the third derivative of -5*g**2 + 0 - 5/48*g**4 + 0*g + 1/48*g**6 + 1/60*g**7 + 1/6*g**3 - 3/40*g**5. Solve l(d) = 0.
-1, 2/7, 1
Suppose 103 = 5*x - 3*v - 120, 4*x + v - 175 = 0. Let 8*j**2 + x*j**5 + 32*j**4 - 44*j**3 - 23*j**5 + 63*j**5 = 0. Calculate j.
-1, 0, 2/7, 1/3
Suppose 2*p + 1808 - 1804 = -4*d, p + 6 = 0. Factor 6/7*c**d - 8/7*c + 0 + 2/7*c**3.
2*c*(c - 1)*(c + 4)/7
Let q be (-2 - 0)*(-14 - -13). Let g(r) be the second derivative of 3*r**q + 0 - 1/2*r**3 - 1/4*r**4 + 7*r. Factor g(z).
-3*(z - 1)*(z + 2)
Let o(b) be the second derivative of 32*b**7/7 + 24*b**6/5 - 3*b**5 - 3*b**4/4 + b**3/2 + 441*b. Determine y, given that o(y) = 0.
-1, -1/4, 0, 1/4
Let g(l) = -l**3 + 5*l**2 + l - 2. Let u be g(5). Suppose -r + 31 = 5*b - 3*r, -u*b = -3*r - 24. Factor 0*q**2 + 2*q + 3 - q + 3*q**2 - b.
(q + 1)*(3*q - 2)
Let q(f) = 376*f - 1500. Let b be q(4). Find i, given that -1/4*i**b + 0 + 27/4*i - 27/4*i**2 + 9/4*i**3 = 0.
0, 3
Let l(w) be the third derivative of -w**5/20 + 97*w**4/2 - 18818*w**3 + 426*w**2. Factor l(g).
-3*(g - 194)**2
Let t(y) = -y - 5. Let i be t(-8). Factor -i*s**2 - 4*s**2 + 5*s**2 - 2*s.
-2*s*(s + 1)
Let i(a) be the second derivative of -1/30*a**5 + 1/9*a**4 + 1/6*a**3 - 2/45*a**6 + 9*a - 1/126*a**7 + 0 + 0*a**2. Find d, given that i(d) = 0.
-3, -1, 0, 1
Let q(c) be the second derivative of -c**7/147 - 2*c**6/105 + c**4/21 + c**3/21 - 2*c + 135. Factor q(g).
-2*g*(g - 1)*(g + 1)**3/7
Let h(b) be the third derivative of b**7/210 + b**6/24 - b**5/15 - 5*b**4/6 - 106*b**2. Factor h(q).
q*(q - 2)*(q + 2)*(q + 5)
Let x be (-728)/(-360) + 99/(-55). Solve 4/9*i - x*i**2 + 2/3