(z).
-(z - 1)*(z + 43)*(5*z - 2)
Let j be -9 + (314/36 - (275/(-22))/25). Factor 2/9*o**3 + 0 - 2/9*o + j*o**4 - 2/9*o**2.
2*o*(o - 1)*(o + 1)**2/9
Suppose -70*h + 121 = -4*h - 143. Let y(t) be the third derivative of -8/15*t**3 + 7*t**2 - 1/75*t**5 + 0*t + 0 + 2/15*t**h. Factor y(c).
-4*(c - 2)**2/5
Let j be 45/48 + (-162)/216. Let c(p) be the third derivative of -j*p**4 + 0*p - p**2 + 1/3*p**3 + 1/20*p**5 + 0 - 1/240*p**6. What is o in c(o) = 0?
1, 4
Suppose -25326 = 116*d - 143*d. Let g = d - 1867/2. Determine z so that -2*z + g*z**2 + 0 = 0.
0, 4/9
Let i = -2010989 - -2010994. Let -54/7*a**4 - 10/7*a**i + 16/7 + 60/7*a + 38/7*a**2 - 50/7*a**3 = 0. Calculate a.
-4, -1, -2/5, 1
Let m(o) be the second derivative of -5*o**7/42 - o**6/6 + 3*o**5/2 - 5*o**4/6 - 25*o**3/6 + 15*o**2/2 - 214*o. Factor m(q).
-5*(q - 1)**3*(q + 1)*(q + 3)
Let g(i) be the second derivative of -i**4/14 + 18*i**3/7 - 135*i**2/7 + 1085*i - 1. Determine p so that g(p) = 0.
3, 15
Let b(l) = 14*l**2 + 24*l + 16. Let p(r) = -9*r**2 - 4 + 4 + 4*r**2 + 4*r**2 - r. Let o(x) = b(x) + 12*p(x). Factor o(g).
2*(g + 2)*(g + 4)
Suppose -3*h = -4*g + 119, -3*g = -3*h - 86 - 1. Let o be 6/(-3) + g/8. Determine q so that -3*q + 3*q**2 - 9*q**3 + 6 - 15 + 8*q**3 + 2*q**o = 0.
-1, 3
Suppose h - 7*h - 4232 + 4232 = 0. Let o(j) be the first derivative of 10/3*j**3 + 5/4*j**4 + 31 + h*j + 5/2*j**2. What is a in o(a) = 0?
-1, 0
Let x = 41886 - 376972/9. Factor -4/9 + x*p**3 + 10/9*p - 8/9*p**2.
2*(p - 2)*(p - 1)**2/9
Factor 1254*b**2 - 120*b - 367 + 1087 - 1249*b**2.
5*(b - 12)**2
Let r(s) be the first derivative of s**5 + 35*s**4 + 685*s**3/3 + 275*s**2 - 1519. Determine d, given that r(d) = 0.
-22, -5, -1, 0
Let i(u) be the second derivative of 2*u**7/105 + 2*u**6/15 - 4*u**5/15 - 8*u**4/3 + 17*u**2 + 16*u. Let b(k) be the first derivative of i(k). Factor b(m).
4*m*(m - 2)*(m + 2)*(m + 4)
Let u(w) = w**3 - 38*w**2 - 43*w - 45. Let d be u(39). Let a = 204 + d. Find l, given that 1/2*l**5 - 3/2*l**a + l**4 + 2*l - 2*l**2 + 0 = 0.
-2, 0, 1
Let f(x) be the second derivative of -1/2*x**3 + 3/4*x**4 + 0 + 0*x**2 - 3/10*x**5 + 63*x. Factor f(n).
-3*n*(n - 1)*(2*n - 1)
Let w be ((-12)/14)/((-2202)/8074). Factor 1/7*h**2 + w - 13/7*h.
(h - 11)*(h - 2)/7
Let o(h) = -h**3 + 18*h**2 + 39*h + 34. Let v be o(20). Factor v*r**3 - 31*r + 9*r**3 - 32*r**2 + 4*r**4 + r**3 + 28 + 7*r.
4*(r - 1)**2*(r + 1)*(r + 7)
Let a be ((1120/21)/10)/(50/(-15) + 4). Suppose -3*y - o + 112 - 19 = 0, -4*o = -12. Factor -a*z**5 + 3 + y*z**2 - 15*z + 5*z**5 + 5*z**4 + 10*z**4 - 30*z**3.
-3*(z - 1)**5
Let u = -50 - -52. Let k(w) = 25*w + 1800. Let g be k(-72). Factor 49/4*b**5 + g*b + 43*b**3 + 6*b**u + 161/2*b**4 + 0.
b**2*(b + 6)*(7*b + 2)**2/4
Let n = -101 + 104. Suppose 4*m = n*m + 2*m. Suppose -4/11*b**3 + 0*b + 0*b**2 + 2*b**5 + m - 18/11*b**4 = 0. What is b?
-2/11, 0, 1
Let t(m) = -11*m**2 - 218*m + 331. Let i(x) = -12*x**2 - 218*x + 334. Let p(j) = 3*i(j) - 2*t(j). Solve p(y) = 0 for y.
-17, 10/7
Let v(f) be the third derivative of -f**5/60 + 9*f**4/4 - 52*f**3/3 - 2*f**2 + 3*f - 39. Factor v(j).
-(j - 52)*(j - 2)
Let k(m) be the second derivative of -m**4/6 - 16*m**3 - 351*m**2 - 1817*m. Factor k(w).
-2*(w + 9)*(w + 39)
Suppose 3*g - 8*g + 2*y + 714 = 0, 582 = 4*g + 2*y. Factor -226*u**2 - g + 321*u + 30*u**2 + 15*u.
-4*(7*u - 6)**2
Let p(a) = a**3 + 51*a**2 - 5366*a - 1026. Let u be p(-103). Factor -1/2*f**4 + 2*f + 0 + 5/2*f**3 - u*f**2.
-f*(f - 2)**2*(f - 1)/2
Factor -330*o**2 + 108900*o - 11979000 + 1/3*o**3.
(o - 330)**3/3
Let v be 7/(-25) + 2*1/(-10). Let s = -7/25 - v. Factor -s*p**3 - 16/5 - 8/5*p**2 - 4*p.
-(p + 2)**2*(p + 4)/5
Let j = -33382 - -33386. Let s(x) be the second derivative of 1/36*x**j + 0 + 0*x**3 - 1/60*x**5 - 31*x + 0*x**2. Determine v so that s(v) = 0.
0, 1
Let m(z) be the first derivative of 73*z**3/8 + 237*z**2/16 + 9*z/4 - 525. Suppose m(b) = 0. Calculate b.
-1, -6/73
Find b such that 2/7*b**2 + 492/7 - 94/7*b = 0.
6, 41
Let d(w) be the third derivative of w**7/420 + 9*w**6/16 - 91*w**5/40 + 137*w**4/48 + 713*w**2. Let d(v) = 0. What is v?
-137, 0, 1
Let m be ((-46746)/2385 - 19*-1)*(-1 + -2). Factor 27/5*t - 3/5*t**3 + 81/5 - m*t**2.
-3*(t - 3)*(t + 3)**2/5
Let z = 743 - 744. Let q be (-92 + 93)*1/(-4)*z. Factor 0 + 0*a - 3/4*a**2 + q*a**3.
a**2*(a - 3)/4
Let q(g) be the second derivative of -g**7/5040 + g**5/240 - 55*g**4/12 + 50*g. Let o(a) be the third derivative of q(a). Factor o(f).
-(f - 1)*(f + 1)/2
Let x be ((7920/224)/15)/(6/4). Let w(s) be the first derivative of -x*s**3 - 6 - 3/35*s**5 + 0*s - 9/14*s**4 - 9/7*s**2. Let w(h) = 0. Calculate h.
-3, -2, -1, 0
Let x(b) = -b**3 - 2*b**2 - 2. Let y(w) = -7*w**3 - 9*w**2 - 4. Let t be (0 - -1)*(10 + -12) - -1. Let o(q) = t*y(q) + 2*x(q). Factor o(j).
5*j**2*(j + 1)
Suppose -30 = -4*v - 6. Let c(i) = -i**2 - 6*i**3 + 3*i**3 - 2*i**2 + 6*i + 2*i**3. Let t(y) = 2*y**3 + 5*y**2 - 11*y. Let n(f) = v*t(f) + 11*c(f). Factor n(a).
a**2*(a - 3)
Let r(l) = -l**2 - 17*l - 52. Let g be r(-5). Let f be -6 + 6 + (-36)/6 + g. Find i such that -5/3 - 1/3*i**f + 2*i = 0.
1, 5
Let h be 70/17 + (-6)/306*6. Suppose 4*q - 13 = -h*b + 11, 3*q - 4 = 4*b. Factor 3/5 - 1/5*k**b + 2/5*k.
-(k - 3)*(k + 1)/5
Let p(z) be the third derivative of 1/945*z**7 + 0 - 1/9*z**3 + 0*z - 2/27*z**4 - 1/45*z**5 + 0*z**6 + 23*z**2. Determine d so that p(d) = 0.
-1, 3
Factor -6*a - 414*a**3 + 829*a**3 - 3*a**2 - 412*a**3.
3*a*(a - 2)*(a + 1)
Let u = 359 - 360. Let z(m) = -m**4 + m**2 + m - 2. Let x(y) = -4*y**4 + 12*y**3 + 7*y**2 - 35*y - 29. Let i(p) = u*z(p) + x(p). Determine n so that i(n) = 0.
-1, 3
Suppose 71*v**4 + 9522*v + 0 + 1/2*v**5 + 5317/2*v**3 + 9798*v**2 = 0. What is v?
-69, -2, 0
Solve -46*q + 95*q**3 + 23*q + 128*q - 315*q**2 - 5*q**4 + 120*q = 0.
0, 1, 3, 15
Let j(n) be the first derivative of -5*n**4/4 - 100*n**3/3 - 385*n**2/2 + 490*n - 2834. Suppose j(u) = 0. What is u?
-14, -7, 1
Let z = 25 + -31. Let c(y) = y + 9. Let g be c(z). Solve -k**2 - g - k + 0 + 1 + 4*k = 0 for k.
1, 2
Suppose 4*i + 12 = 5*j, 4*j - 24 = -103*i + 99*i. Find b such that 0*b + 2/11*b**3 - 8/11 + 6/11*b**i = 0.
-2, 1
Factor 271*t - 52*t - 2*t**3 - 9*t - 32*t**2.
-2*t*(t - 5)*(t + 21)
Let u be (-12)/1 - (4207742/924)/(-307). Factor -1/6*g**2 - u*g + 3.
-(g - 1)*(g + 18)/6
Let i(s) be the second derivative of s**5/150 - 17*s**4/90 - 4*s**3/45 + 68*s**2/15 - 996*s. Suppose i(b) = 0. What is b?
-2, 2, 17
Let w(o) = -2*o**2 + 96*o - 340. Let c be w(44). Let j(r) be the first derivative of 147/5*r**5 + c*r + 109*r**3 + 54*r**2 + 26 + 189/2*r**4. Factor j(h).
3*(h + 1)**2*(7*h + 2)**2
Let x(q) be the third derivative of q**8/560 + q**7/56 - q**6/120 - q**5/8 + 8*q**3/3 - 29*q**2. Let r(u) be the first derivative of x(u). Factor r(m).
3*m*(m - 1)*(m + 1)*(m + 5)
Let o(h) be the second derivative of -h**5/20 - h**4/2 - 2*h**3/3 - 21*h**2/2 - 5*h. Let b be o(-6). Solve -b*g**3 + 1005*g**2 - 1002*g**2 + 0*g**3 = 0 for g.
0, 1
Let f(n) be the second derivative of -n**4/18 - 103*n**3/9 - 194*n**2 + 3224*n. Factor f(q).
-2*(q + 6)*(q + 97)/3
Let v(r) = 23*r + 230. Let k be v(-10). Let c(x) be the second derivative of 0 + 0*x**3 + 5/84*x**7 - 21*x + 0*x**4 + k*x**2 + 3/8*x**5 - 1/3*x**6. Factor c(b).
5*b**3*(b - 3)*(b - 1)/2
Let k(y) = 13*y**2 + 55*y + 38. Let h(t) = -25*t**2 - 109*t - 74. Let d be 3/((-3)/2)*-2. Let u(l) = d*h(l) + 7*k(l). Solve u(r) = 0 for r.
-5, -2/3
Suppose 5*c = -7*t + 60, -t - 4*c + 127 = 79. Let -q + t + 4/3*q**2 - 4/3*q**4 + 2/3*q**3 + 1/3*q**5 = 0. Calculate q.
-1, 0, 1, 3
Find k such that 2/15*k**4 + 676/5*k**2 + 18490/3 - 6536/3*k + 152/15*k**3 = 0.
-43, 5
Determine r so that 62*r + 118/3*r**2 + 50/9*r**3 + 0 - 2/9*r**4 = 0.
-3, 0, 31
Suppose 87*w + 202*w = -21*w + 930. Let x(o) be the second derivative of 0*o**4 - 1/20*o**6 - 26 + 3/20*o**5 + 0*o**w - o + 0*o**2. Factor x(i).
-3*i**3*(i - 2)/2
Let b be (90/(-105))/((-3)/14). Let l be (-272)/24*(-6)/b. Let -9*j + 6 + 30 + l*j + 16*j + 4*j**2 = 0. Calculate j.
-3
Let n(o) be the second derivative of -4*o + 28/3*o**3 + 0*o**2 - 16 + 5/3*o**4 - 1/5*o**5. Factor n(c).
-4*c*(c - 7)*(c + 2)
Let v = -1239/164 - -320/41. Let p(r) be the second derivative of 0*r**3 + v*r**5 + 0*r**2 + 0 + 5/12*r**4 + 7*r. Suppose p(n) = 0. Ca