).
2*(y - 62)*(y - 10)*(y + 1)
Let f(t) = -8*t**3 + 70*t**2 - 300*t - 6144. Let g(u) = u**3 + u - 5. Let o(p) = f(p) + 6*g(p). Solve o(l) = 0.
-7, 21
Let q(x) be the first derivative of -x**4/2 - 76*x**3/3 - 307*x**2 - 540*x - 755. Solve q(t) = 0 for t.
-27, -10, -1
Let s(a) = -7*a - 33. Suppose -4*c - p - 18 = 3, 3*c + 17 = -2*p. Let g be s(c). Let 21/5*u**g - 3/5*u**3 + 0 + 0*u = 0. What is u?
0, 7
Let x(a) be the third derivative of -a**8/840 + a**7/105 - a**6/50 - a**5/75 + 7*a**4/60 - a**3/5 + 1087*a**2 + a + 2. Determine t, given that x(t) = 0.
-1, 1, 3
Let b = 730744 - 2192230/3. Determine o, given that 4/3*o**3 + 0 + 0*o - b*o**4 - 2/3*o**2 = 0.
0, 1
Let o(b) = -8*b**2 - 11*b + 24. Let f(m) be the first derivative of 4*m**3/3 + 5*m**2/2 - 12*m - 22. Let t(z) = 5*f(z) + 3*o(z). Let t(a) = 0. Calculate a.
-3, 1
Let m(j) be the first derivative of j**5/50 - 7*j**3/10 + j**2 - 5395. Factor m(n).
n*(n - 4)*(n - 1)*(n + 5)/10
Find w, given that w**4 + 1241 + 557*w**2 - 3857*w - 133*w**3 + 186*w**3 + 3805 = 0.
-29, 2, 3
Let b(n) = 85*n + 1105. Let p be b(-13). Let w(a) be the first derivative of -5/4*a**4 + 16 - 5*a**3 - 5*a**2 + p*a. Factor w(i).
-5*i*(i + 1)*(i + 2)
Let g(j) be the third derivative of j**6/42 + 13*j**5/15 - 38*j**4/21 + 3*j**2 + j - 192. Suppose g(t) = 0. What is t?
-19, 0, 4/5
Let j(w) be the third derivative of w**6/120 + w**5/10 - 25*w**4/24 + 3*w**3 - 862*w**2. Factor j(d).
(d - 2)*(d - 1)*(d + 9)
Let a = -1888198/15 - -125992. Factor -8/15 + 232/15*w - a*w**2.
-2*(29*w - 2)**2/15
Suppose -37*r = -3*c - 34*r + 24, 0 = c - 6*r - 38. What is i in 9/2*i**c - 10 - 6*i + 1/2*i**3 = 0?
-10, -1, 2
Let m(t) = -5*t + 9 + 12*t + 5*t + 5*t - 3*t**2. Let q be m(6). Find g such that -4*g - 3*g**3 + 2*g**2 + 3*g**3 + 4*g**3 - 2*g**q = 0.
-2, 0, 1
Let b = -78052/114915 - 4/2445. Let l = b - -335/423. Factor 7/9*w + 0 - 5/3*w**2 + w**3 - l*w**4.
-w*(w - 7)*(w - 1)**2/9
Let c(z) be the first derivative of z**8/5040 + z**7/504 + z**6/180 + 121*z**3/3 - 141. Let i(q) be the third derivative of c(q). Factor i(v).
v**2*(v + 2)*(v + 3)/3
Let l(i) = -i**3 + 91*i**2 - 1416*i - 78. Let j be l(20). Solve 1/2*a**3 + 1/2*a + 0 + a**j = 0.
-1, 0
Let a(z) be the second derivative of z**6/6 - 67*z**5/4 - 235*z**4/4 + 345*z**3/2 - 5493*z - 1. Factor a(h).
5*h*(h - 69)*(h - 1)*(h + 3)
Let w = -35 - -40. Suppose -17 = -w*j + 48. Suppose j*m**4 - 6*m**3 + 16*m**4 + 3*m**2 - 26*m**4 = 0. What is m?
0, 1
Let m(p) be the first derivative of p**9/16632 + p**8/2310 + p**7/924 + p**6/990 + 155*p**3/3 - 44. Let v(u) be the third derivative of m(u). Factor v(q).
2*q**2*(q + 1)**2*(q + 2)/11
Find y, given that -73/2*y - 1/2*y**2 - 71 = 0.
-71, -2
Suppose 87*i = -i - 22*i + 330. Let p(y) be the third derivative of -1/60*y**6 + 0*y + 1/315*y**7 - 1/90*y**5 + 1/12*y**4 + 0*y**i - 12*y**2 + 0. Factor p(l).
2*l*(l - 3)*(l - 1)*(l + 1)/3
Let r(l) = 2*l**2 + l + 5. Let i be r(0). Suppose 0 = i*u + c - 74, -2*u = 3*u + 5*c - 90. Find m such that -u*m + 6 - 19*m + 3*m**2 + 24*m = 0.
1, 2
Let s(g) = g**2 - 1. Let l be s(2). Let o be (l - (-5 + 5)) + -5 + 2. Solve o - 4/5*a**2 + 0*a - 4/5*a**3 = 0.
-1, 0
Let t(q) = q**3 + 6*q**2 - 3*q + 2. Let p be t(-6). Let v be 25 + 5 + -8 + -10. Let -p*s**2 - 45*s + v*s**2 - 12*s**2 - 10 = 0. What is s?
-2, -1/4
Suppose i - 28 = -32. Let q be -2*(-5 + 2) + i. Factor 6/7*t**q - 6/7 - 18/7*t**3 + 18/7*t.
-6*(t - 1)*(t + 1)*(3*t - 1)/7
Let g(w) be the second derivative of 10 + 8/15*w**3 + 2*w - 7/15*w**6 - 4/5*w**2 + 23/10*w**4 - 19/25*w**5. Find s such that g(s) = 0.
-2, -2/7, 1/5, 1
Determine d, given that -45*d**2 - 45*d**3 + 3*d**4 + 8 - 41*d**3 + 52 - 12*d - 2*d**3 + 82*d**3 = 0.
-2, 1, 5
Let d(z) = z**2 + 16*z + 33. Let c be d(-2). Let o(q) = q**3 + 4*q**2 + 4*q + 2. Let g be o(-2). Factor -c*l**2 + 3 + 0 + 5*l - 5*l**3 + g.
-5*(l - 1)*(l + 1)**2
Suppose -5*x - 2 - 12 = -a, -4*x = 3*a - 23. Suppose -4*r + 5*w = -2, -3*r + 2*w + a = 4. Factor -62 + 18*i + 15*i**4 + 57 - 3*i - 5*i**5 - 10*i**r - 10*i**2.
-5*(i - 1)**4*(i + 1)
Let w(g) be the second derivative of 0 - 1/6*g**3 - 1/20*g**5 + 109*g - 1/6*g**4 + 0*g**2. Factor w(j).
-j*(j + 1)**2
Let a = 855 + -853. Solve -2*g**5 + 33*g**2 + 308*g**3 - 353*g**a - 176*g**4 + 206*g**3 + 12*g**5 + 14*g**3 - 224*g = 0.
-2/5, 0, 2, 14
Let i(o) = -o**2 - 1. Let d(k) = 6*k**2 - 20*k - 7. Let m(p) = -p**2 + p + 1. Let s(z) = d(z) + 5*m(z). Let f(w) = 2*i(w) - s(w). Suppose f(j) = 0. What is j?
0, 5
Factor 370/9*j + 748/9 + 2/9*j**3 - 376/9*j**2.
2*(j - 187)*(j - 2)*(j + 1)/9
Let c = -602747/7 + 86107. Factor -2/7 - 2/7*f + c*f**3 + 2/7*f**2.
2*(f - 1)*(f + 1)**2/7
Let n(b) be the second derivative of 3*b**5/28 - 47*b**4/28 + 59*b**3/7 - 60*b**2/7 + 758*b. Let n(u) = 0. Calculate u.
2/5, 4, 5
Let q = 832832 + -832828. What is y in -1/7*y**2 + 1/7*y**5 + 0 + 3/7*y**3 - 3/7*y**q + 0*y = 0?
0, 1
Let c(z) be the third derivative of 17/450*z**5 + 19/180*z**4 + 0*z - 19/900*z**6 + 184*z**2 - 14/45*z**3 + 0 - 1/525*z**7. Let c(d) = 0. Calculate d.
-7, -1, 2/3, 1
Suppose 134*o + 24*o = -140*o - 86*o + 69*o. Let o - 9/2*x - 1/2*x**2 = 0. Calculate x.
-9, 0
Let y(d) be the first derivative of d**8/1680 + d**7/280 - 24*d**3 + 28. Let m(z) be the third derivative of y(z). Determine l so that m(l) = 0.
-3, 0
Suppose -7*u - 31*u = -u + 99*u. Let m(y) be the second derivative of 5/18*y**3 + 1/36*y**4 + u + 2/3*y**2 - 2*y. Factor m(h).
(h + 1)*(h + 4)/3
Let x(r) be the first derivative of 0*r - 88 - 11/4*r**3 + 1/2*r**2 - 4/5*r**5 + 9/2*r**4. Factor x(z).
-z*(z - 4)*(4*z - 1)**2/4
Let d(x) be the first derivative of x**6/120 - 9*x**4/8 + 29*x**3 - 12. Let l(k) be the third derivative of d(k). Determine a so that l(a) = 0.
-3, 3
Suppose -5*w + 37*m = 39*m, -25 = 5*m. Determine a so that -5*a - 5*a - a**2 - 12 - 7*a + 4*a + 0*a**w = 0.
-12, -1
Let i(k) be the first derivative of -3/40*k**5 + 1/8*k**3 + 277 - 9/16*k**2 + 0*k + 9/32*k**4. Factor i(y).
-3*y*(y - 3)*(y - 1)*(y + 1)/8
Let j(p) = -p**2 + 14*p - 13. Let s be j(12). Let m be 3/(-6) - s/(2860/(-1450)). Find n such that m*n**3 + 30/13*n + 74/13*n**2 + 18/13*n**4 + 4/13 = 0.
-2, -1, -1/3
Let b = 527 - 517. Determine m so that 13*m**2 - 81*m + 11*m + b*m - 12 - 88*m**2 = 0.
-2/5
Let o(l) be the first derivative of 34*l + 24*l**2 - 2*l + 3395*l**3 + 59 + l**4 - 3387*l**3. Determine d so that o(d) = 0.
-2
Let u = 236 + -225. Factor -18*g**2 - 8*g**3 + 20 + u - 4 - g**4.
-(g - 1)*(g + 3)**3
Let z be 6/9*4/((-12)/(-9)). Let a(g) be the second derivative of -2/15*g**6 + 0 + 2/21*g**7 - 1/5*g**5 + 20*g + 0*g**z + 0*g**3 + 1/3*g**4. Factor a(f).
4*f**2*(f - 1)**2*(f + 1)
Let k(r) be the second derivative of r**4/28 + 1349*r**3/14 - 2025*r**2/7 + 6141*r. Factor k(y).
3*(y - 1)*(y + 1350)/7
Let o(k) be the second derivative of 11*k**5/45 + 14*k**4/9 + 8*k**3/3 + 8*k**2 - 64*k. Let m(n) be the first derivative of o(n). Factor m(p).
4*(p + 2)*(11*p + 6)/3
Let m(j) be the third derivative of j**6/480 - 9*j**5/40 - 175*j**4/96 + 19*j**3/2 - 14*j**2 + 42*j - 1. Suppose m(t) = 0. What is t?
-4, 1, 57
Solve 1677/2*q**3 + 7392*q + 4764*q**2 + 3/2*q**5 + 60*q**4 - 13056 = 0 for q.
-17, -8, 1
Let i(g) be the third derivative of -g**8/756 + 26*g**7/315 - 7*g**6/6 - 1319*g**5/135 - 28*g**4/9 + 392*g**3/3 - 25*g**2 - 4. Solve i(z) = 0.
-2, 1, 21
Let l(x) be the third derivative of 49*x**6/360 + 1337*x**5/90 + 4876*x**4/9 + 33856*x**3/9 - 2*x**2 - 6*x + 116. Factor l(m).
(m + 2)*(7*m + 184)**2/3
Let u(x) be the first derivative of -5*x**4 + 296*x**3/3 - 330*x**2 - 144*x - 1067. Suppose u(l) = 0. What is l?
-1/5, 3, 12
Let q(j) = j**3 + 12*j**2 + 13*j + 24. Let x be ((-75)/(-9) + -1)*(-6)/4. Let a be q(x). Factor -2*w + 4*w**3 - 2*w**5 - 2*w**4 + 93*w**2 - 3 + 1 - 89*w**a.
-2*(w - 1)**2*(w + 1)**3
Let f(r) = 48*r**2 - 685*r + 184. Let n be f(14). Factor -2/3*q**n + 1/3 + 0*q + 0*q**3 + 1/3*q**4.
(q - 1)**2*(q + 1)**2/3
Factor -5 + 11/2*o**2 - 9/2*o**3 + 9/2*o - 1/2*o**4.
-(o - 1)**2*(o + 1)*(o + 10)/2
Let v(h) be the first derivative of -3/2*h**4 - 1/24*h**6 + 147 + 25/8*h**2 + 0*h - 5/6*h**3 + 1/2*h**5. Determine f so that v(f) = 0.
-1, 0, 1, 5
Factor 942/7 + 3/7*h**2 - 135*h.
3*(h - 314)*(h - 1)/7
Let u(v) = 235*v + 3528. Let g be u(-15). Find i, given that -2*i**4 + 24/5*i**g -