/7*y**t + 74/7*y = 0.
-37
Determine n so that -120 - 2*n**4 - 32*n + 138*n**2 + 15397*n**5 - 16*n**4 + 34*n**3 - 15399*n**5 = 0.
-10, -2, -1, 1, 3
Let z = -2/95561 + 382250/286683. Factor 0 - 16/9*q**4 + 0*q**2 - 2/9*q + z*q**3 + 2/3*q**5.
2*q*(q - 1)**3*(3*q + 1)/9
Let w = -15013 + 15015. Suppose -5*u - 8 = -18. Solve 1/4*z**4 + z + u*z**w + 0 + 5/4*z**3 = 0 for z.
-2, -1, 0
Let h = 445531/72 + -24747/4. Let s(o) be the second derivative of 5/24*o**5 + 0 - 1/4*o**2 - 13*o + 31/36*o**3 - h*o**4. Factor s(n).
(n - 3)*(5*n - 1)**2/6
Let p(r) be the first derivative of -r**3 - 147*r**2/2 + 150*r + 1411. Factor p(m).
-3*(m - 1)*(m + 50)
Let r be (57/(-4))/(2*(-5)/40). Suppose -39 = -6*k + r. Suppose 6*j**2 + k*j + 0 - 1 + 9 = 0. What is j?
-2, -2/3
Let b(t) be the third derivative of t**5/60 + 11*t**4/8 + 70*t**3/3 + 2*t**2 - 222. Factor b(d).
(d + 5)*(d + 28)
Let u(b) be the third derivative of b**8/168 + 13*b**7/105 - b**6/2 - 1551*b**2. Let u(r) = 0. What is r?
-15, 0, 2
Let q(l) be the second derivative of -l**4/6 + 205*l**3/6 + 103*l**2/2 - 2421*l. Suppose q(r) = 0. What is r?
-1/2, 103
Let t(c) = -c**2 + c. Let p(z) = 6*z**2 + z - 3. Let f(l) = -p(l) - 5*t(l). Let i be f(-6). Factor -2 + 2 - 1 - 3*n + n**2 + i*n**2.
(n - 1)*(4*n + 1)
Let k = 16/1259 - -1195/5036. Determine o so that k*o**2 + 11*o + 121 = 0.
-22
Let h(l) be the first derivative of -l**4/22 + 58*l**3/33 - 160*l**2/11 - 1536*l/11 + 947. Suppose h(u) = 0. What is u?
-3, 16
Let s be (-8)/12*-3*(-102)/(-21). Let f = s + -195/28. Factor -f*j**4 + 0*j + 1/2*j**3 + 9/4*j**5 + 0 + 0*j**2.
j**3*(j - 1)*(9*j - 2)/4
Let y(n) be the second derivative of 5*n**7/231 - 277*n**6/165 + 375*n**5/11 + 112*n**4/3 - 1568*n**3/33 - 382*n - 2. Solve y(t) = 0.
-1, 0, 2/5, 28
Let y = 30761 + -30756. Let o(v) be the third derivative of 0*v - 14*v**2 + v**3 - 1/30*v**y + 0 + 1/6*v**4. Let o(d) = 0. What is d?
-1, 3
Suppose 5*o = 3 + 27. Suppose u - o*u - 4*k + 12 = 0, 5*u - 28 = 4*k. Factor -7*g**3 + 14 + 5*g**u - 11 - g**2 - g**5 + 8*g - 7.
-(g - 2)**2*(g - 1)**2*(g + 1)
Solve 219*n**2 - 56*n**3 + 261 + 525*n + 139*n**2 + 59*n**3 - 91*n**2 = 0.
-87, -1
Let g(l) be the first derivative of 0*l + 12*l**2 - 27 - 1/12*l**5 - 5/6*l**3 + 5/12*l**4. Let t(b) be the second derivative of g(b). Solve t(i) = 0 for i.
1
Suppose -41*b - 23 = -91 - 145 + 49. Find u such that 0 + 3/4*u**3 + u**b - 7/8*u + 1/8*u**5 - u**2 = 0.
-7, -1, 0, 1
Let s(b) be the third derivative of b**6/1260 + 11*b**5/105 + 43*b**4/84 - 23*b**3/2 + 141*b**2. Let h(g) be the first derivative of s(g). Solve h(z) = 0 for z.
-43, -1
Factor -14/11 + 12/11*z + 2/11*z**2.
2*(z - 1)*(z + 7)/11
Let i be (-348)/(-1160) - 0/(-1 - 0). Let w(f) be the first derivative of 3/8*f**4 + 0*f - 2 + 1/8*f**3 + i*f**5 + 0*f**2. Factor w(d).
3*d**2*(2*d + 1)**2/8
Solve -14/11*y**2 + 2/11*y**3 - 18/11 - 34/11*y = 0 for y.
-1, 9
Let f(u) be the first derivative of -2*u**5/55 + 17*u**4/22 - 58*u**3/33 - 17*u**2/11 + 60*u/11 + 865. Suppose f(b) = 0. Calculate b.
-1, 1, 2, 15
Suppose 20*y + 2*u + 22 = 0, -40*y = -38*y - 2*u - 22. Factor 0*i - 2/7*i**3 + y - 1/7*i**2 - 1/7*i**4.
-i**2*(i + 1)**2/7
Let o(b) be the second derivative of b**4/126 - 22*b**3/21 + 65*b**2/21 - 5357*b. Let o(c) = 0. What is c?
1, 65
Let t(b) be the second derivative of -3*b**5/20 - 29*b**4/4 + 253*b**3/2 + 26979*b**2/2 + 5473*b. Factor t(k).
-3*(k - 17)*(k + 23)**2
Factor -102*m + 1/3*m**2 + 0.
m*(m - 306)/3
Let k(n) = 142*n - 1. Let u be k(3). Let y be u/150 + (-25)/30. Factor 1/5*l**2 - y*l + 9/5.
(l - 9)*(l - 1)/5
Let o(h) be the second derivative of 1/66*h**4 + 0 - 1/165*h**6 - 1/231*h**7 + 69*h + 4/11*h**2 - 8/33*h**3 + 1/22*h**5. Suppose o(n) = 0. What is n?
-2, 1
Let s(k) be the second derivative of k**4/6 + 10*k**3 + 161*k**2 - 1335*k. Factor s(r).
2*(r + 7)*(r + 23)
Solve 7*t**2 - t**5 + 0*t**4 - t**4 - 84*t**3 + 61*t**3 + 68*t**3 - 6*t**4 - 44*t = 0.
-11, -1, 0, 1, 4
Let v(d) be the second derivative of -3*d**5/160 + 13*d**4/16 - 12*d**3 + 54*d**2 + 7*d - 2. Factor v(w).
-3*(w - 12)**2*(w - 2)/8
Let n(v) be the first derivative of 2*v**5/25 - 848*v**4/5 + 719104*v**3/5 - 304900096*v**2/5 + 64638820352*v/5 - 1793. Let n(l) = 0. What is l?
424
Suppose -s - 33 = -12*s. Solve 17*r**3 + 9*r**4 + 14*r**3 + 15*r**s - 3*r**2 - 40*r**3 = 0 for r.
-1, 0, 1/3
Factor 0 + 2/5*h**4 - 38/5*h**2 + 4*h + 16/5*h**3.
2*h*(h - 1)**2*(h + 10)/5
Let u(c) be the second derivative of 2/3*c**4 - 1/25*c**5 - 133*c + 0 + 36/5*c**2 - 18/5*c**3. Let u(z) = 0. Calculate z.
1, 3, 6
Factor -2/7*r**4 - 180/7*r**3 - 224094/7 - 56108/7*r - 4992/7*r**2.
-2*(r + 13)**3*(r + 51)/7
Let d(y) be the second derivative of -y**4/42 + 80*y**3/21 + 81*y**2/7 + y - 2100. Factor d(q).
-2*(q - 81)*(q + 1)/7
Let c(i) = -i**3 - i**2 - i - 1. Let v(u) = -3*u + 3 + 3*u**3 - u**2 - 2 + 0. Let b be (306/45 - 7)*5. Let j(l) = b*c(l) - v(l). Solve j(s) = 0.
-1, 0, 2
Let d = -372 + 374. Find l, given that 184 - 1316*l**2 + 666*l**d + 666*l**2 - 740*l = 0.
1/4, 46
Suppose 0 = -3*g - 2*i + 36 - 1, g + i - 10 = 0. Suppose -9*x + 6*x = -g. Factor -u**2 + 4*u**4 - 14*u**3 + 6*u**3 + x*u**2.
4*u**2*(u - 1)**2
Let s = -1 - -1. Let r = -39811/4 + 9953. Let s - r*d**2 + 1/2*d = 0. Calculate d.
0, 2
Determine i, given that 104/7*i**4 + 0 + 0*i + 2/7*i**5 + 570/7*i**3 + 828/7*i**2 = 0.
-46, -3, 0
Let q(u) = 28*u**2 - 278*u - 17. Let l be q(10). Let h be (3/(-4))/((-1)/2). Suppose 0 + 1/2*r**4 + h*r**l + r - 5/2*r**2 - 1/2*r**5 = 0. Calculate r.
-2, 0, 1
Let g be ((-89)/(-7) - 10) + (-2)/(-7). Factor -y**4 - g - 3 - 13*y**2 - 8*y**3 - 6*y - 8 + 14.
-y*(y + 1)**2*(y + 6)
Let i(q) be the second derivative of -15/4*q**4 + 0*q**2 + 5/3*q**3 + 14 + 5/2*q**5 - 1/2*q**6 + 2*q. Factor i(o).
-5*o*(o - 2)*(o - 1)*(3*o - 1)
Find k such that 410 + 6*k - 25*k**2 + 9*k - 7*k**2 + 490 + 27*k**2 = 0.
-12, 15
Let b(l) be the second derivative of l**4/12 - 227*l**3/6 + 20*l + 1. Factor b(c).
c*(c - 227)
Suppose -4*t + 11 + 9 = 0. Let k be (-5 - 108/(-20))*t. What is y in 3*y**2 - 11*y**2 + 4*y**k - 4*y**4 - 8*y**3 = 0?
-1, 0
Suppose -46*o + 48*o - 6 = 0. Factor 8*u**3 - u + 7*u**o - u - 11*u**3 + 2*u**2.
2*u*(u + 1)*(2*u - 1)
Factor 2034*h**3 - 1554*h**3 + 4*h**5 + 1057*h**2 - 49*h**2 + 76*h**4.
4*h**2*(h + 6)**2*(h + 7)
Let d = 458471 + -458469. Let 2/3*m**3 + 0 + 22/3*m - 8*m**d = 0. What is m?
0, 1, 11
Let f = 133 + -133. Let y(d) be the second derivative of 0 + 3/8*d**3 + f*d**4 + 5*d - 3/80*d**5 - 3/4*d**2. Factor y(a).
-3*(a - 1)**2*(a + 2)/4
Let i(t) = 15*t - 16. Let l be i(2). Factor -21*d**2 - 5 - 31 + l*d**3 - 11*d**3 + 48*d.
3*(d - 3)*(d - 2)**2
Let b(q) be the first derivative of -68445*q**3 - 702*q**2 - 12*q/5 + 2698. Determine x so that b(x) = 0.
-2/585
What is z in 32 + 4/7*z**4 + 36*z**2 + 424/7*z + 8*z**3 = 0?
-7, -4, -2, -1
Let j = 80 + -86. Let y(z) = -11*z**3 - 5*z**2 - 5*z + 3. Let a(p) = 13*p**3 + 6*p**2 + 5*p - 3. Let x(i) = j*a(i) - 7*y(i). Determine k so that x(k) = 0.
-3, 1
Let r(p) = 3*p**2 + 4*p. Let f be r(-2). Factor -2*k + 45*k**3 - 4*k + f - 10*k**2 - 51*k**3 - 6*k**2.
-2*(k + 1)*(k + 2)*(3*k - 1)
Let q be (-3)/(-65)*4*(-1)/(-6). Let f(c) be the first derivative of q*c**5 - 4/13*c**2 + 2/13*c**4 - 6/13*c + 4/39*c**3 + 3. Solve f(r) = 0.
-3, -1, 1
Let w(f) = -3*f**2 - 28*f - 227. Let d(a) = 2*a**2 + 1. Let k(q) = -27*q - 226. Let p(m) = 2*d(m) - k(m). Let t(b) = -4*p(b) - 6*w(b). Factor t(i).
2*(i + 15)**2
Let d be 248/6 - (-5)/(-15). Let m = d - -7. Factor 5 + 10*h - 13 + m - 5*h**2.
-5*(h - 4)*(h + 2)
Let z be 3*(364/(-780) - (-8)/12). Find y, given that -9/5*y - z*y**2 + 0 = 0.
-3, 0
Let s be ((-249)/(-2))/(21/196). Factor -2*y**4 - 59582 - 2017*y**2 - 3656*y**2 + 188*y**3 - s*y**2 + 745*y**2 + 138*y**2 + 65348*y.
-2*(y - 31)**3*(y - 1)
Let p(i) be the third derivative of i**7/1995 - 23*i**6/285 - 31*i**5/190 - 657*i**2. Factor p(j).
2*j**2*(j - 93)*(j + 1)/19
Let c(s) be the first derivative of -5*s**6/2 + 4*s**5 + 245*s**4/2 + 240*s**3 + 125*s**2/2 - 140*s - 7475. Find z such that c(z) = 0.
-4, -1, 1/3, 7
Let w(c) = -c**3 + c - 1. Let y(m) = -3 - 5*m**2 + 3*m**3 + 5 + 1038*m - 1037*m + m**4. Let d(o) = 10*w(o) + 5*y(o). Factor d(g).
5*g*(g - 1)**2*(g + 3)
Suppose 71*o = 47*o + 62*o. Let f(q) be the second derivative of o*q**2 - 1/2