**2. Suppose q(l) = 0. What is l?
-10/3, 12
Solve -3/2*y**2 + 0*y + 0 - 30*y**3 = 0.
-1/20, 0
Let r(l) be the second derivative of -47*l - 1/30*l**5 + 0*l**3 + 0 + 1/63*l**7 + 2/45*l**6 + 0*l**2 - 1/9*l**4. Let r(o) = 0. What is o?
-2, -1, 0, 1
Let x(f) be the second derivative of 3*f**5/140 + 1041*f**4/28 + 361227*f**3/14 + 125345769*f**2/14 - 2071*f. Find w, given that x(w) = 0.
-347
Let v(u) be the third derivative of -u**5/15 - 5*u**4/4 - 6*u**3 + 6955*u**2. Factor v(f).
-2*(f + 6)*(2*f + 3)
Let a = 1315/6 + -7907/36. Let n = 389/396 - a. Find f, given that -14/11*f**4 + 30/11*f**2 + 52/11*f**3 - n - 52/11*f = 0.
-1, -2/7, 1, 4
Let c(x) be the third derivative of x**5/150 - 127*x**4/2 + 241935*x**3 - 2*x**2 - 1523. Determine v, given that c(v) = 0.
1905
Suppose -2*r - 9 = -d, -d + 2*r + 21 = 4*d. Let -28*t - t - 2*t**3 - t**d + 12*t**2 + 17*t = 0. What is t?
0, 2
Suppose -s + 4 = s. Suppose -s*h + 12 = h. Determine w, given that -3*w**2 + 6 - h + 1 = 0.
-1, 1
Find n, given that 0 - 16/3*n**2 + 13*n + 1/3*n**3 = 0.
0, 3, 13
Suppose 80*k - 74*k - 155*k = -745. Let r(l) be the third derivative of 0 + 1/6*l**3 + 16*l**2 + 1/20*l**k + 1/120*l**6 + 0*l + 1/8*l**4. Solve r(c) = 0 for c.
-1
Suppose 203 = -17*q + 50. Let f(j) = -8*j**3 + 12*j**2 + 4*j - 12. Let g(i) = 17*i**3 - 24*i**2 - 8*i + 24. Let z(o) = q*f(o) - 4*g(o). Factor z(d).
4*(d - 3)*(d - 1)*(d + 1)
Let d(l) be the first derivative of -l**6/90 - 11*l**5/360 - l**4/48 - l**2/2 + 42*l + 82. Let v(r) be the second derivative of d(r). Let v(m) = 0. What is m?
-1, -3/8, 0
Let q(x) = -x**2 - 7*x - 13. Let l be q(-4). Let t be (-2)/l*(-11 + 395/20). Factor -15*r - 5/2*r**2 + t.
-5*(r - 1)*(r + 7)/2
Factor -4*r**2 + 263 - r**3 - 9*r**2 + 550*r + 105 + 110*r**2 + 84*r**2.
-(r - 184)*(r + 1)*(r + 2)
Let y = 6869 + -6866. Let c(t) be the second derivative of -31*t + 2/5*t**2 + 0 - 1/10*t**4 + 1/15*t**y. Let c(x) = 0. What is x?
-2/3, 1
Suppose 18 - 18 = -3*w. Let y(r) be the second derivative of -2*r + w*r**5 + 0*r**3 + 0 + 1/30*r**6 + 0*r**2 - 1/12*r**4. Factor y(l).
l**2*(l - 1)*(l + 1)
Let l be 154/(-49) - 15/(1890/(-592)). Find r, given that -98/9*r**2 - 8/3 - 4/9*r**3 + 112/9*r + l*r**4 = 0.
-3, 2/7, 1, 2
Let m be 7 + -1 + -6*(-8)/(-16). Let w(a) be the first derivative of 3/7*a**5 + 6/7*a**m + 0*a**2 + 0*a - 51/28*a**4 + 44. Factor w(b).
3*b**2*(b - 3)*(5*b - 2)/7
Determine s so that 1415/4*s + 5/4*s**2 + 1405/2 = 0.
-281, -2
Let p = 733 + -585. Let t be (576/57 - 10) + p/38. Determine m, given that 2*m**3 + 0*m**2 + 0 - 2/3*m**t + 0*m = 0.
0, 3
Find v such that -190*v**2 - 110*v**2 - 245 + 10*v**3 + 5*v**4 - 133*v - 97*v + 60*v**2 - 260*v = 0.
-7, -1, 7
Factor -2/11*i**2 + 200/11 + 96/11*i.
-2*(i - 50)*(i + 2)/11
What is j in -3*j**5 + 85 - 8492*j - 2*j**5 - 620*j**4 - 37820*j**2 - 85 - 10113*j - 19830*j**3 = 0?
-61, -1, 0
Let x = 139 - 121. Let s = -15 + x. Suppose 2 - 35*g + s - 1 + 2 + 11*g**2 = 0. Calculate g.
2/11, 3
Let 28 - g**2 - 4*g - 6*g**2 + 38943*g**3 - 38942*g**3 = 0. Calculate g.
-2, 2, 7
Suppose 0 - 21 = -7*n. Factor 44*z - 36*z**n + 116*z**2 - 56*z - 144*z + 39 + 33 + 4*z**4.
4*(z - 3)**2*(z - 2)*(z - 1)
Let h = -250991 + 251007. Factor -h - 4/3*i**3 - 16/3*i + 28/3*i**2.
-4*(i - 6)*(i - 2)*(i + 1)/3
Let w(j) = -j**3 + 2. Let b be w(0). Let d(k) = -4*k - 33. Let x be d(-9). Factor s**2 - 13*s**3 + 10*s**x + 2*s**b.
-3*s**2*(s - 1)
Suppose 2*l - 6*l = 0, 5*i - 2*l + 0*l = 0. Suppose i = -2*t + 29*t. What is m in t + 4/7*m**2 - 8/7*m = 0?
0, 2
Let z(o) be the second derivative of 2*o**7/21 - 202*o**6/3 + 12902*o**5 - 190510*o**4/3 + 379010*o**3/3 - 126002*o**2 + 3*o + 3. Factor z(p).
4*(p - 251)**2*(p - 1)**3
Let l(t) = -151*t**2 + 1715*t + 3428. Let i(q) = -1635*q**2 + 18865*q + 37705. Let r(d) = 6*i(d) - 65*l(d). Factor r(h).
5*(h + 2)*(h + 341)
Let k be 3/2*(-144)/(-54). Factor k + 239*a**5 - 16*a**3 + 12*a**4 - 231*a**5 - 16*a**2 + 8*a**3.
4*(a - 1)*(a + 1)**3*(2*a - 1)
Let a(t) be the third derivative of -t**6/960 + 25*t**5/8 - 15625*t**4/4 + 7812500*t**3/3 + 103*t**2 + t. Factor a(k).
-(k - 500)**3/8
Suppose -v - 54 = 3*f, -4*f - 22 - 170 = 4*v. Let n be 105/33 - 3 - v/(-792). Factor 1/8*c + 1/4 - n*c**2.
-(c - 2)*(c + 1)/8
Suppose -85 = 3*d - 313. Suppose 59*y = 63*y - d. Find k, given that y*k**2 + 4*k**3 + 5*k**2 + 55*k - 19*k = 0.
-3, 0
Factor 2544/5 - 508*j - 4/5*j**2.
-4*(j - 1)*(j + 636)/5
Let c(h) = 11*h**3 - 161*h**2 - 882*h - 1086. Let j(k) = 21*k**3 - 321*k**2 - 1762*k - 2171. Let y(o) = 11*c(o) - 6*j(o). Find u such that y(u) = 0.
-3, -2, 36
Let u(p) be the second derivative of 9*p**5/20 - 107*p**4/6 - 176*p**3 - 112*p**2 - 3*p + 40. What is s in u(s) = 0?
-4, -2/9, 28
Let r(b) be the second derivative of -b**5/100 + 82*b**4/15 - 109*b**3/10 + 548*b. Solve r(z) = 0.
0, 1, 327
Let q(i) = -93*i**3 - 455*i**2 - 1946*i - 1584. Let k(n) = 16*n**3 + 76*n**2 + 324*n + 264. Let g(t) = -23*k(t) - 4*q(t). Suppose g(r) = 0. What is r?
-11, -6, -1
Let -6 - 45*i**2 - 109 + 1340*i - 389*i - 11 = 0. Calculate i.
2/15, 21
Let s = 628560/13 - 48350. Solve 0 + 8/13*u**3 - s*u**2 + 2/13*u = 0.
0, 1/4, 1
Suppose -4*j + 2*s = -2*s - 592, 0 = 5*s - 10. Let f = j + -148. Factor 2*w**3 - 5*w**3 + 4*w**f + 24 + 45*w + 14*w**2.
-3*(w - 8)*(w + 1)**2
Let f(c) be the third derivative of -c**8/112 - 207*c**7/35 + 2507*c**6/40 - 1362*c**5/5 + 1259*c**4/2 - 840*c**3 - 7859*c**2. Suppose f(z) = 0. Calculate z.
-420, 1, 2
Let s(k) be the third derivative of 0*k**3 - 7/45*k**6 - 2/21*k**7 + 1/28*k**8 + 4/9*k**4 + k**2 - 7*k + 4/15*k**5 + 0. Solve s(t) = 0 for t.
-2/3, 0, 1, 2
Let t be ((-140)/(-15))/(12/36). Let d be t/10 - (-3 - 19/(-5)). Factor -2/11*a**3 - 8/11*a + 10/11*a**d + 0.
-2*a*(a - 4)*(a - 1)/11
What is f in -2/7*f**2 - 1212/7*f - 183618/7 = 0?
-303
Factor 118*p**4 + 24 + 252*p - 50 + 76*p**2 - 117*p**4 + 26 - 23*p**3.
p*(p - 18)*(p - 7)*(p + 2)
Let c(g) = 24*g**2 + 11*g**3 - 3*g**3 + 12 + 37*g**2 + 3*g**2 - 6*g**3. Let d(v) = -1. Let z(h) = c(h) + 12*d(h). Find k, given that z(k) = 0.
-32, 0
Let a = 12904 + -12902. Factor 1/5*t**4 - 3/5*t**2 + a*t**3 - 28*t + 196/5.
(t - 2)**2*(t + 7)**2/5
Let v be -3 - 3 - (-33 - 0). Let w be 2*-3*(-3)/v. Factor 8/3*j - 2 - w*j**2.
-2*(j - 3)*(j - 1)/3
Let u = 2135 + -2133. Let r(a) = a**2 - 8*a + 12. Let k be r(8). Determine h, given that -30*h + 2*h**3 - 20*h**u + k*h**3 + 22*h - 4*h**2 = 0.
-2/7, 0, 2
Let g(k) = -k**3 - k**2 + 3*k - 2. Let s(n) = -4*n**4 + 12*n**3 + 18*n**2 - 36*n + 20. Let f(v) = 20*g(v) + 2*s(v). Determine m, given that f(m) = 0.
-3/2, 0, 1
Let -3690*g + 1/4*g**4 + 41/2*g**3 + 1321/4*g**2 + 8100 = 0. What is g?
-45, 4
Solve -9*k**2 + 180*k - 1/2*k**3 + 0 = 0 for k.
-30, 0, 12
Let o(w) be the first derivative of -11*w**5/15 - 7*w**4/2 - 47*w**3/9 - 2*w**2 + 4*w/3 + 1185. Find u, given that o(u) = 0.
-2, -1, 2/11
Let p(t) be the second derivative of t**7/630 - 7*t**6/30 + 147*t**5/10 - 21*t**4/4 - 2*t - 21. Let c(n) be the third derivative of p(n). Factor c(u).
4*(u - 21)**2
Let q = -280281 - -280283. Factor 2*z + 6*z**q - 8 + 1/2*z**4 - 7/2*z**3.
(z - 4)*(z - 2)**2*(z + 1)/2
Let c(f) = 19*f**3 + 2*f**2 + 26*f + 7. Let w(p) = 11*p**3 + 2*p**2 + 14*p + 3. Let v(k) = 5*c(k) - 9*w(k). Factor v(u).
-4*(u - 1)*(u + 1)*(u + 2)
Let t(x) = -5*x**2 + 174*x - 901. Let l(y) = -3*y**2 + 174*y - 912. Let j(m) = -4*l(m) + 3*t(m). Factor j(g).
-3*(g - 5)*(g + 63)
Let n(z) be the second derivative of -5*z**4/2 + 1415*z**3/6 - 235*z**2/2 - 2*z - 64. Factor n(j).
-5*(j - 47)*(6*j - 1)
Let s(g) be the first derivative of 5/3*g**3 - 5*g**2 - 15*g - 39. Let s(r) = 0. What is r?
-1, 3
Let z(v) = v**4 + 4*v**3 + v**2 + v - 1. Let j(y) = 6*y**4 + 34*y**3 + 18*y**2 - 14*y - 20. Let b(p) = j(p) - 4*z(p). Find w, given that b(w) = 0.
-8, -1, 1
Factor 3/2*l**2 - 729/2 + 363*l.
3*(l - 1)*(l + 243)/2
Let c = -492 + -93. Let v be (0 - 5)*26/c. Let v*x**2 - 4/9*x - 2/3 = 0. Calculate x.
-1, 3
Let y(k) be the first derivative of -35/4*k**4 - 25/2*k**2 + 24 + 5*k**5 - 115/3*k**3 + 30*k. Suppose y(r) = 0. What is r?
-1, 2/5, 3
Let g be ((-80)/(-70) - (-36)/42)*(-1)/(-4). Factor j - 1/2*j**3 - g*j**2 + 0.
-j*(j - 1)*(j + 2)/2
Let i(p) be the first derivative of p**5/5 - 103*p**4/16 - 253*p**3/6 - 15*p**2 - 2692. Factor i(y).
y*(y - 30)*(y + 4)*(4*y + 1)/