ose q(i) = 0. Calculate i.
-12, -1/4
Let m(h) = h**2 + 6*h + 7. Let y be m(6). Let f = y - 75. Find n, given that 4*n + 4*n**2 - 2*n**2 - 2 - f*n**2 = 0.
1
Let i(d) be the third derivative of d**5/20 + d**4/3 + 2*d**3 + 66*d**2. Let q(m) = 21*m**2 + 54*m + 84. Let h(o) = 15*i(o) - 2*q(o). Factor h(f).
3*(f + 2)**2
Let s = 13626 + -13624. Let v(y) be the third derivative of 0 + 1/330*y**5 + 7/132*y**4 + 0*y - 8/33*y**3 - 46*y**s. Factor v(i).
2*(i - 1)*(i + 8)/11
Let u(q) be the first derivative of -q**6/9 + 8*q**5/3 - 50*q**4/3 - 1096. Factor u(v).
-2*v**3*(v - 10)**2/3
Let y = 139520/153 - 8206/9. Factor -2/17*f**2 + 0 + y*f.
-2*f*(f - 1)/17
Let r(g) be the third derivative of g**5/45 + 71*g**4/18 + 140*g**3/9 + 2*g**2 + 163*g. Determine n so that r(n) = 0.
-70, -1
Find q such that -2179*q**4 + 1212*q**2 - 110*q**3 + 1056 + 2181*q**4 + 9744 + 8280*q = 0.
-3, -2, 30
Let c be 6/14*((-511)/(-21) + -19)*1. Factor -30/7 - 2/7*f**2 + c*f.
-2*(f - 5)*(f - 3)/7
Let f = -9 - 3. Let i be (15/30)/((-1)/f). What is z in 6*z + 11*z**5 - 12*z**3 - i*z**5 - z + 2*z**3 = 0?
-1, 0, 1
Let m = -113 - -6. Let g = -71 - m. Factor 120*n**3 - g*n**3 - n**4 - 4*n**2 - 40*n**3 - 40*n**3.
-n**2*(n - 2)**2
Let n be -20 + 17 + (171/14)/9. Let j = n - -64/7. Suppose -3*h**2 + j*h**3 - 9/2*h**4 + 0 + 0*h = 0. Calculate h.
0, 2/3, 1
Suppose 10*y**2 + 165*y + 900 + 1/5*y**3 = 0. Calculate y.
-20, -15
Let f(p) be the third derivative of -10/3*p**3 + 7/24*p**6 - 1/12*p**5 - p + 0 - 7*p**2 + 5/336*p**8 + 5/42*p**7 - 5/3*p**4. Let f(y) = 0. Calculate y.
-2, -1, 1
Let x = -4369 - -4373. Let y(s) be the first derivative of 2*s**3 + 0*s - 6/5*s**5 - 12 + 3*s**x - 3/2*s**2 - 3/2*s**6. Determine w, given that y(w) = 0.
-1, 0, 1/3, 1
Let r(x) be the second derivative of x**6/30 + 2*x**5/15 - 2*x**4/3 - 16*x**3/3 - 10*x**2 + 2*x - 8. Let p(c) be the first derivative of r(c). Factor p(l).
4*(l - 2)*(l + 2)**2
Let o = -45191 + 139240/3. Let y = o + -1219. Find d, given that 4*d + y + 2/3*d**2 = 0.
-5, -1
Let p(l) be the third derivative of -l**7/135 - 26*l**6/135 - 427*l**5/270 - 49*l**4/18 + 3*l**2 - 204. Factor p(f).
-2*f*(f + 7)**2*(7*f + 6)/9
Let n = 636/7 + -3809/42. Let y(m) be the third derivative of -15*m**2 + 0*m**3 - 2/15*m**5 - 1/30*m**6 - n*m**4 + 0*m + 0. Suppose y(p) = 0. What is p?
-1, 0
Let 2804/7*l + 982802/7 + 2/7*l**2 = 0. What is l?
-701
Let b(s) be the second derivative of 4 - 2*s + 26/15*s**6 + 6/5*s**5 - 10/21*s**7 + 0*s**2 - 16/3*s**3 - 20/3*s**4. Let b(y) = 0. What is y?
-1, -2/5, 0, 2
Factor -49/4 + 12*o + 1/4*o**2.
(o - 1)*(o + 49)/4
Let d(i) be the second derivative of 11 - 2*i + 12*i**2 + 25/3*i**3 + 1/10*i**5 + 7/3*i**4. Suppose d(g) = 0. What is g?
-12, -1
Let i(w) be the second derivative of -5 - 5/12*w**4 + 0*w**2 - 20/3*w**3 - 7*w. What is o in i(o) = 0?
-8, 0
Let h(f) be the third derivative of -f**5/210 + 2*f**4/21 - f**3/3 - 4*f**2 + 39. Find n, given that h(n) = 0.
1, 7
Factor 1/3*f**4 + 299*f**3 + 200704/3*f + 67200*f**2 + 0.
f*(f + 1)*(f + 448)**2/3
Let b be (-3)/(336/(-70)) + 520/192. Let u(w) be the first derivative of 5/8*w**4 + 0*w**2 + 0*w + b*w**3 + 22. Factor u(o).
5*o**2*(o + 4)/2
Let d(k) = -119*k**3 + 685*k**2 + 2580*k + 1874. Let w(x) = -40*x**3 + 230*x**2 + 860*x + 625. Let y(n) = -5*d(n) + 14*w(n). Determine v, given that y(v) = 0.
-2, -1, 62/7
Let 0 + 4/3*j**2 + 412/3*j = 0. What is j?
-103, 0
Let z(w) be the second derivative of -w**4/4 - 50*w**3 + 303*w**2/2 - 51*w + 2. What is r in z(r) = 0?
-101, 1
Factor 124*x + 4/5*x**4 + 0 - 108/5*x**3 - 516/5*x**2.
4*x*(x - 31)*(x - 1)*(x + 5)/5
Let i(q) be the second derivative of q**5/110 - 163*q**4/66 + 54*q**3/11 + 1269*q. Let i(u) = 0. Calculate u.
0, 1, 162
Let g(t) be the third derivative of 0*t + 1/210*t**6 + 1 - 1/588*t**8 - 14*t**2 + 0*t**4 + 4/245*t**7 + 0*t**3 - 2/35*t**5. Solve g(v) = 0.
-1, 0, 1, 6
Let p be (-1)/2*((-332)/36 + 9). Let z = 2595 + -2593. Let 0 + p*b**z - 1/9*b = 0. What is b?
0, 1
Let b(u) = 17*u**2 + 2*u - 5. Let p be b(-5). Let o be p/35 + 2/7. Factor -28*g**2 + 30 + 5*g + 15*g - 34 + o*g**3.
4*(g - 1)**2*(3*g - 1)
Suppose 9284 + 4576 = 33*z. Let c be -2*(-230)/z - 1. Factor -c*o**2 + 0*o + 0 - 2/21*o**3.
-2*o**2*(o + 1)/21
Let i(h) be the third derivative of -h**5/20 + 39*h**4/4 + 79*h**3/2 - 56*h**2 + 3*h. Let i(x) = 0. What is x?
-1, 79
Let p(m) = 62*m**2 - 7567*m + 1436384. Let i(h) = -29*h**2 + 3784*h - 718193. Let d(g) = -13*i(g) - 6*p(g). Factor d(b).
5*(b - 379)**2
Let n be 4 + (-24)/5 - ((-22306)/(-1330) + -19). Factor -n*o + 8/7 + 2/7*o**2.
2*(o - 4)*(o - 1)/7
Let s be (3/(-48))/((-131)/6288). Solve -j - 1/5*j**s + 0 - 6/5*j**2 = 0 for j.
-5, -1, 0
Let p = -37 - -15. Let l be (-2)/p*46 - (-4)/(-22). Determine k so that 64*k**4 + 3*k**3 - 59*k**l + 7*k**3 - 18*k**2 + 3*k**2 = 0.
-3, 0, 1
Find n such that 16/5*n**2 + 412/5*n**3 - 84*n - 114/5*n**4 + 98/5 + 8/5*n**5 = 0.
-1, 1/4, 1, 7
Let t be (11/(-88)*-8)/(8/(-288)*-21). Factor 3/7*m**3 + 27/7*m - 18/7*m**2 - t.
3*(m - 4)*(m - 1)**2/7
Let z(i) = i**3 - 12*i**2 - 30*i - 2. Let g be z(-2). Find l, given that 122*l + 98*l**2 - 199*l**2 - 120 + 99*l**g = 0.
1, 60
Let b be (-6)/54*3*-6. Let d(l) be the second derivative of -1/15*l**3 - 13*l - 1/50*l**5 - 1/15*l**4 + 0*l**b + 0. Factor d(a).
-2*a*(a + 1)**2/5
Solve 91/2*g**2 + 44 - 9*g**3 + 1/2*g**4 - 81*g = 0 for g.
1, 2, 4, 11
Suppose 21857 = 21*y + 21794. Let z(m) be the third derivative of 1/192*m**4 + 1/8*m**y - 1/480*m**5 + 0*m + 0 + 15*m**2. Let z(n) = 0. What is n?
-2, 3
Factor 11096*b**3 + 0*b**5 - 10016*b**3 + 2160*b**2 + 2*b**5 + 3*b**5 + 135*b**4.
5*b**2*(b + 3)*(b + 12)**2
Let h = 19932 + -14650019/735. Let s(c) be the third derivative of 0*c - 20*c**2 + 1/28*c**4 + 0*c**3 + 0 + 1/84*c**6 - 1/30*c**5 - h*c**7. Factor s(v).
-2*v*(v - 3)*(v - 1)**2/7
Let k(c) be the first derivative of -c**4/36 + 40*c**3/27 - 154*c**2/9 - 1936*c/9 + 5013. Factor k(j).
-(j - 22)**2*(j + 4)/9
Let y be 0/(28/((-588)/525) + 22). Factor c + 1/2*c**2 + y.
c*(c + 2)/2
Let w be 19/(-2660)*10*(290/(-12) + 26/156). Determine y, given that 108/7*y - w*y**3 + 3/7*y**2 - 27/7 = 0.
-3, 1/4, 3
Let m(f) = 5*f**2 - 38*f + 10. Let h(o) = 73 - 1498*o**2 - 245*o + 17*o - 12 + 1526*o**2. Let g(n) = -6*h(n) + 39*m(n). Factor g(v).
3*(v - 4)*(9*v - 2)
Let o(i) be the third derivative of i**7/105 + i**6/30 - i**5/6 - i**4/2 + 8*i**2 + 37*i. Factor o(v).
2*v*(v - 2)*(v + 1)*(v + 3)
Suppose 5*y - 4*y = -d, -2*d - 12 = -4*y. Let k be ((-10)/(-4))/(10/24*y). Factor -1/2*n**k - 2*n**2 - 5/2*n - 1.
-(n + 1)**2*(n + 2)/2
Find l, given that 1840/3 + 218/3*l**3 + 2744/3*l + 452*l**2 - 2/3*l**4 = 0.
-2, 115
Let t = 70533 + -70533. Solve -2/5*d**2 + 6/5*d + t = 0.
0, 3
Let t be ((-120)/(-100))/(-3)*-5. Let q(d) be the second derivative of -13*d - 5/16*d**5 - d**3 - 15/16*d**4 + 0 - 1/2*d**t. Factor q(l).
-(l + 1)*(5*l + 2)**2/4
Let u(q) be the second derivative of 4*q**4/9 + 142*q**3/9 + 134*q**2/3 - q + 146. Factor u(i).
4*(i + 1)*(4*i + 67)/3
Let z be ((-110)/(-10) - -1) + -9. Let x(q) be the second derivative of 1/50*q**5 + 0 - 2/5*q**2 - 1/5*q**z + 18*q + 0*q**4. Factor x(m).
2*(m - 2)*(m + 1)**2/5
Let p(w) = -192*w**3 + 1924*w**2 - 41*w + 13. Let o be p(10). What is y in 0*y - 2/7*y**4 + 0*y**o + 0 - 1/7*y**5 + 0*y**2 = 0?
-2, 0
Let n(g) be the third derivative of -7/6*g**4 + 1/210*g**7 - 19/60*g**5 + 118*g**2 - 1/60*g**6 + 0 + 0*g - 2*g**3. Let n(j) = 0. Calculate j.
-2, -1, 6
Factor -25*h**3 + 145/3*h + 5/6*h**4 + 45/2*h**2 + 0.
5*h*(h - 29)*(h - 2)*(h + 1)/6
Let w(h) = 54*h - 160. Let d be w(3). Let p(i) be the second derivative of -3/4*i**4 - d*i**2 - 1/10*i**5 + 9*i + 0 - 2*i**3. Solve p(k) = 0.
-2, -1/2
Let 3/4 - 3/4*o**2 + 15/8*o - 15/8*o**3 = 0. Calculate o.
-1, -2/5, 1
Let a(p) be the first derivative of -p**5/10 + 199*p**4/8 - 197*p**3/6 - 199*p**2/4 + 99*p + 1370. Solve a(w) = 0 for w.
-1, 1, 198
Let v(g) = 19*g**2 + 1. Let z(t) = -42*t**2 - 8*t - 2. Let m(y) = -2*v(y) - z(y). Factor m(j).
4*j*(j + 2)
Let c(j) = j**2 - j - 1. Suppose 0 = h - 6*h + 35. Let u(f) = 14*f**2 - 9*f**2 - h*f - 5 + 0 + 4. Let p(o) = 3*c(o) - u(o). Let p(t) = 0. What is t?
1
Factor 169*d + 480 + 12*d**3 + 136*d**2 - 266*d - 399*d - 16*d**3.
-4*(d - 30)*(d - 2)**2
Let w(y) be the first derivative of y**5/