erivative of 3*b**5/100 - 3*b**4/10 + b**3/2 + 18*b**2/5 + 154*b. Factor y(a).
3*(a - 4)*(a - 3)*(a + 1)/5
Let o(y) be the second derivative of y**7/2016 + 5*y**6/288 + y**5/4 + 13*y**4/12 + 104*y. Let h(x) be the third derivative of o(x). Factor h(n).
5*(n + 4)*(n + 6)/4
Let p be 1/9*(-831)/(-5540). Let q(g) be the third derivative of -25*g**2 - 1/75*g**5 + 0*g + 1/100*g**6 + 0 + 0*g**3 - p*g**4. What is h in q(h) = 0?
-1/3, 0, 1
Let u(w) = 2*w**4 - 10*w**3 + 27*w**2 - 35*w + 10. Let i = -166 + 169. Let c(r) = -r**4 + 9*r**3 - 27*r**2 + 33*r - 10. Let j(z) = i*c(z) + 2*u(z). Factor j(q).
(q - 1)**3*(q + 10)
Let a(f) = 4*f**2 - 10*f + 5. Let o(z) = 7*z**2 - 19*z + 9. Let n(d) = 5*a(d) - 3*o(d). Let y be n(4). Factor -3 + q + y + 4*q**2 - 5 - 5*q**2.
-(q - 2)*(q + 1)
Let w(m) be the first derivative of 17 - 54*m - 2/9*m**3 - 6*m**2. Factor w(a).
-2*(a + 9)**2/3
Suppose 25/3*v - 16 - 1/6*v**2 = 0. What is v?
2, 48
Let d be (1/(-2))/(-1 - 76/(-80)). Suppose b = v + 3 - 9, v - 2*b = d. Find z such that 3*z**v + 0*z**2 - 19*z - 28 - 7*z**2 - 13*z = 0.
-7, -1
Let r(i) = -2*i - 18. Let u be r(-9). Suppose 0 = g - 1, z = 2*g - g - 1. Let 2/7*y**2 + u + z*y = 0. Calculate y.
0
Let l(h) be the first derivative of h**4/18 + 476*h**3/9 - 715*h**2/9 - 4800. Factor l(c).
2*c*(c - 1)*(c + 715)/9
Find l such that 22/7*l - 20/7*l**2 - 2/7*l**3 + 0 = 0.
-11, 0, 1
Let a(x) be the first derivative of -5*x**4/9 + 274*x**3/27 + 184*x**2/3 + 34*x + 11322. Let a(q) = 0. What is q?
-3, -3/10, 17
Let i = -9/42694 - 146248279/85388. Let y = -1708 - i. Let y*n - n**3 + 5/4 + 4*n**2 = 0. What is n?
-1/2, 5
Let a(t) be the third derivative of 0*t + 0 + 1/672*t**8 - 1/420*t**7 + 0*t**4 + 1/120*t**5 - 1/240*t**6 - 7*t**2 + 0*t**3. Suppose a(z) = 0. What is z?
-1, 0, 1
Suppose -764/9*u - 2/9*u**2 - 254/3 = 0. Calculate u.
-381, -1
Let o(m) be the second derivative of 1/6*m**6 + 32*m + 0 - 1/10*m**5 + 5/2*m**2 + 1/6*m**3 - 5/6*m**4 + 1/42*m**7. Factor o(t).
(t - 1)**2*(t + 1)**2*(t + 5)
Let x = 708 - 706. Let 3*g + 3*g - 20*g + 6 - x*g**2 - 13 - 13 = 0. What is g?
-5, -2
Let x(t) be the second derivative of 355*t**4/8 + t**3 + 19*t + 7. Find k such that x(k) = 0.
-4/355, 0
Let s(t) = -2*t**3 + 40*t**2 - 67*t + 36. Let r(w) = -w**3 + 20*w**2 - 34*w + 18. Suppose 7*c + 453 - 432 = 0. Let q(v) = c*s(v) + 7*r(v). Factor q(a).
-(a - 18)*(a - 1)**2
Solve -9/2*o**2 - 307*o - 68 = 0.
-68, -2/9
Suppose -5*c + 0*c - 2 = s, 17 = 5*s - 2*c. Let b(k) = k**4 + 16*k**3 + 12*k**2 + 12*k. Let o(r) = -3*r**3 + r**2 - r. Let u(y) = s*o(y) + b(y). Solve u(v) = 0.
-3, -1, 0
Let m(p) be the second derivative of -p**4/24 + 7*p**3/4 + 23*p**2/2 - 1005*p. Factor m(c).
-(c - 23)*(c + 2)/2
Let z(p) be the second derivative of 2*p**3/3 + 3*p**2/2 + 4*p. Let o be z(0). Solve 22*x**2 + 14*x + 3 + 12*x**3 + o - 2*x**3 - 4 = 0.
-1, -1/5
Let h(o) be the third derivative of 0*o**3 + 0*o**4 - 1/30*o**6 + 2/15*o**5 + 0*o + o**2 + 1 - 2/105*o**7. Factor h(q).
-4*q**2*(q - 1)*(q + 2)
Let a(c) = -c**3 - 5*c**2 - 8*c - 1. Let m(o) = -o**2 - o - 1. Let u(i) = a(i) - 5*m(i). Let g be u(0). Factor 4*w + 5*w + w - g*w**2 - 6*w.
-4*w*(w - 1)
Let g(l) be the second derivative of -l**6/50 - 13*l**5/20 - 103*l**4/30 - 14*l**3/3 + 36*l**2/5 - 2343*l. Suppose g(v) = 0. Calculate v.
-18, -2, 1/3
Let n be (-15)/(-40) - 315/(-56). Find z such that -8*z - z**3 + 2*z**3 - 15 + 3*z**3 - n*z**2 + 23 + 2*z**4 = 0.
-2, 1
Determine u so that u**3 - 10111 - 12073 + 0*u**3 - 83*u**2 + 7928 + 2088*u = 0.
11, 36
Let u(i) be the first derivative of -i**4/78 + 11*i**3/39 - 24*i**2/13 - 98*i + 28. Let m(y) be the first derivative of u(y). Let m(k) = 0. What is k?
3, 8
Suppose -182*c + 1190 - 462 = 0. Let d(b) be the second derivative of 0*b**2 + 1/33*b**3 - 1/66*b**c - 21*b + 0. Find i, given that d(i) = 0.
0, 1
Suppose -13*n + 78 - 125 = -73. Determine o, given that 5/6*o**n - 14/3 - 34/3*o = 0.
-2/5, 14
Factor 18*k - 164/9 + 2/9*k**2.
2*(k - 1)*(k + 82)/9
Let n(v) = v**2 + v + 1. Let m(t) be the second derivative of 2*t**4/3 + 13*t**3/3 - 7*t**2 + 11*t. Let q(a) = -m(a) + 10*n(a). Let q(i) = 0. Calculate i.
2, 6
Suppose 20 = 3*g + 4*k, g = -g + 2*k + 4. Let l(u) be the second derivative of 0 + 1/50*u**5 + 16/15*u**3 + 12/5*u**2 + 7/30*u**g + 37*u. Factor l(b).
2*(b + 2)**2*(b + 3)/5
Let t = 227/426 - 26/71. Let x(o) be the first derivative of 0*o + t*o**4 - 3 + 8/9*o**3 + 0*o**2. Factor x(g).
2*g**2*(g + 4)/3
Let h(m) = -3*m**3 - 59*m**2 + 226*m - 90. Let p be h(-23). Suppose 0*o**p + 2*o - 2/7*o**3 + 12/7 = 0. Calculate o.
-2, -1, 3
Suppose -780*d - 1299*d = -24948. Factor 18/5*b**2 - d*b + 10.
2*(3*b - 5)**2/5
Suppose 26*u - 97 + 66 = 125. Let y(b) be the first derivative of 6 - 1/2*b**4 + 2/5*b**5 + 1/3*b**u + 0*b - 2/3*b**3 + 0*b**2. Factor y(q).
2*q**2*(q - 1)*(q + 1)**2
Let q(k) be the second derivative of -k**7/14 + 3*k**6/5 + 321*k**5/20 - 264*k**4 + 1414*k**3 - 3528*k**2 - 5*k - 34. What is z in q(z) = 0?
-12, 2, 7
Solve -1/4*o**2 - 169*o + 677/4 = 0.
-677, 1
Factor -132 + 69*j - 3/2*j**2.
-3*(j - 44)*(j - 2)/2
Suppose -56*b = -34*b - 39*b + 85. Let s(m) be the first derivative of -9/7*m**3 - 3/35*m**5 - b - 3/2*m**2 - 6/7*m - 15/28*m**4. Suppose s(u) = 0. Calculate u.
-2, -1
Let p(s) be the third derivative of -s**6/840 + 29*s**5/420 - 83*s**4/84 + 44*s**3/7 + 5*s**2 - 12*s - 1. Factor p(o).
-(o - 22)*(o - 4)*(o - 3)/7
Let p(q) be the third derivative of -q**5/12 - 115*q**4/4 + 3700*q**3/3 + 2839*q**2. Find w such that p(w) = 0.
-148, 10
Let l(t) be the second derivative of -10*t**2 + 45 - 7/3*t**4 - 22/3*t**3 - 1/5*t**5 - 2*t. Determine p, given that l(p) = 0.
-5, -1
Let r(l) = 2*l**3 + 11*l**2 + 4*l - 5. Let x be r(-5). Suppose 3*q + q - 8 = x. Factor 2/5*d**4 + 2/5*d**q + 0 - 4/5*d**3 + 0*d.
2*d**2*(d - 1)**2/5
Let n(g) be the first derivative of 1/4*g**4 - 1/5*g**5 + 0*g - 2*g**2 - 3 + 4/3*g**3. Factor n(t).
-t*(t - 2)*(t - 1)*(t + 2)
Determine o so that 800 - 85*o**3 - 536*o - 90*o**3 + 268*o**3 - 344*o - 95*o**3 + 82*o**2 = 0.
1, 20
Let k(l) be the third derivative of 2*l**7/105 - 118*l**6/15 + 4398*l**5/5 + 43318*l**4/3 + 146410*l**3/3 - 3*l**2 - 2*l - 26. Factor k(y).
4*(y - 121)**2*(y + 1)*(y + 5)
Let o(q) be the first derivative of 3*q**3 + 39*q**2/2 + 91*q + 52. Let w(c) = -14*c**2 - 58*c - 136. Let y(n) = 8*o(n) + 5*w(n). Factor y(z).
2*(z + 3)*(z + 8)
Let f(n) be the second derivative of -n**6/30 + 13*n**5/15 - 45*n**2 + 20*n. Let h(g) be the first derivative of f(g). Suppose h(a) = 0. What is a?
0, 13
Suppose 3*n + 2*p - 1194 = 0, -2*n + 807 = -11*p + 16*p. Suppose 4*s + 388 = n. Determine h so that 2/5*h**2 + 8/5 + s*h = 0.
-4, -1
Let n(i) be the third derivative of -i**5/60 - 7*i**4/24 + 27*i**3/2 + 3*i**2 - 6. Let a be n(6). Factor 4/3*l**a + 4*l + 4*l**2 + 4/3.
4*(l + 1)**3/3
Let a be (59 - 58)*(2/39)/(4/12). Solve -20/13*b + a*b**2 + 32/13 = 0 for b.
2, 8
Determine t so that -1/2*t**2 + 77/2 + 2*t = 0.
-7, 11
Let t(a) = 1. Let c(k) be the third derivative of k**5/30 + k**4/2 - 2*k**3 - 66*k**2. Let v(w) = -c(w) + 2*t(w). Let v(p) = 0. Calculate p.
-7, 1
Let x(c) be the third derivative of -c**5/390 - 16*c**4/39 - 11*c**2 + 24*c. Factor x(n).
-2*n*(n + 64)/13
Let y(t) = 5*t**2 - 8*t + 3. Let q be y(3). Suppose -6*j + q = 6*j. Solve -3 + 6 + 0*k + 2*k**j + 15 + 12*k = 0.
-3
Let -388/7*t - 2/7*t**2 - 768/7 = 0. What is t?
-192, -2
Let u = 46975/31322 + 4/15661. Factor u + 0*r**3 + 7/2*r**2 - r**4 - 17/4*r + 1/4*r**5.
(r - 3)*(r - 1)**3*(r + 2)/4
Let h(i) be the second derivative of 0*i**2 - 1/135*i**6 - 20*i + 0 + 1/3*i**3 + 7/90*i**5 - 5/18*i**4. Factor h(v).
-2*v*(v - 3)**2*(v - 1)/9
Let u(l) be the second derivative of -l**4/9 - 13*l**3/9 + 50*l**2 - 3097*l. Suppose u(n) = 0. Calculate n.
-25/2, 6
Let m be 5773/(-42665) + (-1)/(-7). Let q = 2102/2385 + m. Factor q*x**2 + 0*x - 28/9*x**3 + 0.
-4*x**2*(7*x - 2)/9
Let h = -30834/13 + 339278/143. Determine s, given that h*s**5 - 14/11*s**2 + 4/11 - 2*s**3 + 14/11*s + 10/11*s**4 = 0.
-2, -1, -1/4, 1
Let d(z) be the third derivative of 0*z**5 - 62 + 7/36*z**4 + 2*z**2 - 1/180*z**6 - 2/3*z**3 + 0*z. Let d(b) = 0. What is b?
-3, 1, 2
Let o(y) be the third derivative of 1/15*y**6 + 0*y**3 + 0*y + 0 + 2/45*y**5 - 1/45*y**7 + 0*y**4 - 73*y**2. Suppose o(x) = 0. What i