 = 0.
-5, -1, 1
Let x(f) be the third derivative of 0*f - 1/360*f**5 + 0 - 1/6*f**3 + 7/144*f**4 + 19*f**2. What is p in x(p) = 0?
1, 6
Let c(d) be the second derivative of -d**4/42 - 487*d**3/21 - 1452*d**2/7 + d - 2692. Factor c(l).
-2*(l + 3)*(l + 484)/7
Let h(y) be the second derivative of -y**7/2520 + y**6/540 - y**5/360 - y**3/6 + 5*y**2 - 9*y + 1. Let l(n) be the second derivative of h(n). Factor l(x).
-x*(x - 1)**2/3
Suppose -7*d = -12*d - 415. Let p = 103 + d. Suppose p*a**2 + 34*a**3 - 19*a**2 - a**3 - 54*a**4 - 2*a = 0. Calculate a.
-2/9, 0, 1/3, 1/2
Let w be 4/16 - (-10 - (-610)/60). Let q(r) be the third derivative of 0 - w*r**5 + 2*r**2 + 5/12*r**4 - 5/6*r**3 + 0*r. Solve q(d) = 0 for d.
1
Let v(r) = 11*r + 12. Let b be v(-1). Let n be b/4 - (135/(-20) - -2). Solve 16*s + 14*s**2 - 11*s**4 - 3*s**2 - s**4 - 20*s**3 + n*s**2 = 0 for s.
-2, -2/3, 0, 1
Suppose -59 = 5*z + 106. Let n = 37 + z. What is i in -113*i + 20*i**4 + 0*i**4 - 4*i**5 + 40*i**2 - 40*i**3 + n + 93*i = 0?
1
Let t(a) be the second derivative of 13*a**4/30 - 46*a**3/3 - 72*a**2/5 + 281*a + 5. Factor t(w).
2*(w - 18)*(13*w + 4)/5
Let c = -38 + 331. Solve -n - c*n**4 + 277*n**4 + 20*n**2 + 24*n**3 - 32*n**5 + 5*n = 0 for n.
-1/2, 0, 1
Let f be (4278/248 - 13)*(-14)/(-17). Suppose -5 - 1/2*a**2 - f*a = 0. What is a?
-5, -2
Let t(j) be the first derivative of -1/3*j**3 - 1/4*j - 51 + 5/8*j**2. What is k in t(k) = 0?
1/4, 1
Let t(o) be the second derivative of -o**4/12 + 3*o**3/2 + 81*o**2 - 4814*o. Factor t(k).
-(k - 18)*(k + 9)
Let a(c) be the first derivative of -c**6/48 + 7*c**5/40 + 5*c**4/32 - 25*c**3/8 + 3204. Factor a(m).
-m**2*(m - 5)**2*(m + 3)/8
Suppose g = 34*l - 29*l + 7, 40 = 2*g - 36*l. Find q, given that 1/4*q**g - 19/4 + 75/8*q = 0.
-38, 1/2
Let h = 2763113/6 - 460518. Let -64*r + 128/3 - h*r**3 + 14*r**2 = 0. What is r?
4/5, 8
Let x be ((-1092)/(-112))/((-3)/(-52)). Factor -8*k + 95*k + 247*k**2 + x*k**3 - 1 + 10.
(k + 1)*(13*k + 3)**2
Suppose 36*d - 46*d + 54 = 14. Let x(w) be the second derivative of 0 + 35*w + 162*w**2 + 1/3*w**d - 12*w**3. Factor x(o).
4*(o - 9)**2
Let x(s) be the first derivative of s**3/4 - 3*s**2/4 - 45*s/4 + 389. Find h, given that x(h) = 0.
-3, 5
Let t(f) be the third derivative of f**5/20 - 349*f**4/8 + 347*f**3 - 75*f**2 + 7. What is q in t(q) = 0?
2, 347
Let m(l) be the first derivative of l**6/900 - l**5/75 - l**4/5 + 65*l**3/3 - 59. Let a(x) be the third derivative of m(x). Factor a(r).
2*(r - 6)*(r + 2)/5
Factor 78961/2*c**3 + 1/2*c**5 + 0 + 0*c**2 + 0*c + 281*c**4.
c**3*(c + 281)**2/2
Let y be 95/60 - (-5)/(-4). Let o be (-2)/7*49/(-7). Factor 4/3 - y*n**4 - 8/3*n + n**o + 2/3*n**3.
-(n - 2)*(n - 1)**2*(n + 2)/3
Let q(u) be the third derivative of 0*u - 3 + 2/3*u**3 + 6*u**2 - 4/27*u**4 - 1/135*u**5. Suppose q(f) = 0. Calculate f.
-9, 1
Let n = -45991 + 275947/6. Factor 3 - 13/2*i - n*i**3 - 1/6*i**4 + 23/6*i**2.
-(i - 3)*(i - 1)**2*(i + 6)/6
Let q = 112252 - 112250. Determine g, given that 3 + 3/7*g**4 + 18/7*g**3 - 24/7*g**q - 18/7*g = 0.
-7, -1, 1
Let 50/11*i**3 - 50/11*i + 2/11*i**4 + 166/11*i**2 - 168/11 = 0. Calculate i.
-21, -4, -1, 1
Let v be -4 + 8 - (2 - 0). Suppose -v*i - 3*w = -w, 5*i + w - 16 = 0. Factor -10*t**4 - t**4 - 5*t**2 - 7*t**i + 19*t**4 - 4*t**3.
t**2*(t - 5)*(t + 1)
Let s(v) be the third derivative of 1/168*v**8 + 8/105*v**7 + 0 - 16/3*v**4 + 45*v**2 + 256/3*v**3 + 0*v + 1/15*v**6 - 8/3*v**5. Factor s(n).
2*(n - 2)**2*(n + 4)**3
Let q(y) = y**3 + 3*y**2 + 2. Let s be (5/(-15))/(1/9). Let k be q(s). Suppose -26*f**2 + 4 + 5*f**3 + 39*f**k + f**4 + 12*f + f**3 = 0. Calculate f.
-2, -1
Let v(g) = 6*g - 9. Let j(y) = y**2 - y + 1. Let w = -3 - 0. Let q be 12/22 + 119/(-77). Let c(o) = q*v(o) + w*j(o). Factor c(b).
-3*(b - 1)*(b + 2)
Let x(s) be the first derivative of s**3/27 + 5*s**2/18 - 104*s/9 - 254. Factor x(b).
(b - 8)*(b + 13)/9
Suppose i = 5*l - 4 + 191, -2*l + 3*i - 80 = 0. Let u = l + 42. Suppose -3*c + 8*c**4 + 2*c**u - 8*c**3 + 15*c - 8*c**2 + 2*c**5 - 8*c**3 = 0. What is c?
-3, -1, 0, 1
Factor 18720850 - 18717160 - 3*x**2 + 1267*x - 46*x.
-3*(x - 410)*(x + 3)
Suppose 3*t + 2*o + 738 = 0, t + 5*o + 136 = -97. Let i = 1241/5 + t. Factor -2/5*s**2 - 1/5*s**3 - i*s + 0.
-s*(s + 1)**2/5
Suppose -2*v = -9*v + 763. Suppose 0 = -105*d + v*d - 8. Solve 0 + 8/5*q + 4*q**d - 28/5*q**3 = 0.
-2/7, 0, 1
Let t(w) be the second derivative of -w**5/30 + 2*w**4/9 + 4*w**3/3 - w - 2783. Find b such that t(b) = 0.
-2, 0, 6
Let u be 10010/30 - 12/(-9). Solve 128*w - 128 + u*w**2 - 185*w**2 - 190*w**2 + 4*w**3 = 0.
2, 4
Let j = 25679/51384 - -13/51384. Factor 0*q**2 - 13/2*q + 6 + j*q**3.
(q - 3)*(q - 1)*(q + 4)/2
Factor 304758*o**2 + 4*o**3 - 2*o - 2*o - 304746*o**2 - 12.
4*(o - 1)*(o + 1)*(o + 3)
Let q(c) be the first derivative of 3/2*c**3 - 1/40*c**5 + 42 - 5/16*c**4 - 31/2*c**2 + 0*c. Let t(r) be the second derivative of q(r). Factor t(k).
-3*(k - 1)*(k + 6)/2
Let l(v) be the second derivative of 0*v**2 + 9*v + 0*v**3 + 3 - 9/10*v**5 - 9/4*v**4 - 1/10*v**6. Factor l(j).
-3*j**2*(j + 3)**2
Let t = 44061 - 44057. What is h in -8/7*h**2 - 6/7*h**3 + 1 + 1/7*h**t + 6/7*h = 0?
-1, 1, 7
Let n(l) = -l - 2. Let r(c) = 3*c**2 - 192*c + 198. Let x(v) = -3*n(v) - r(v). Factor x(o).
-3*(o - 64)*(o - 1)
Let w(f) be the third derivative of -1/840*f**7 + 0*f**4 + 1/240*f**6 + 1/80*f**5 + 2*f**2 + 0*f + 6 + 0*f**3. Solve w(n) = 0.
-1, 0, 3
Let u = 127755 + -127753. Factor -34/7*b + 1/7*b**u + 289/7.
(b - 17)**2/7
Let f(p) be the second derivative of -p**4/6 + 29*p**3/3 - 120*p**2 + 1390*p. Factor f(m).
-2*(m - 24)*(m - 5)
Let u(s) = -2*s**3 - 5*s**2 + 2*s + 7. Let k(z) = 5*z**3 + 15*z**2 - 6*z - 20. Let t(n) = 3*k(n) + 8*u(n). Let g be t(4). Factor -42 - 5*j**3 + 42 - 5*j**g.
-5*j**3*(j + 1)
Let b(k) be the third derivative of k**8/672 + 89*k**7/420 - 31*k**6/40 - 181*k**5/60 + 185*k**4/48 + 91*k**3/4 - 164*k**2 + 1. Let b(y) = 0. What is y?
-91, -1, 1, 3
Let v = 5873 - 5871. Let s(i) be the third derivative of 2/15*i**5 + 0 - 10*i**v + 0*i**4 + 0*i - 2/105*i**7 - 1/30*i**6 + 0*i**3. What is k in s(k) = 0?
-2, 0, 1
Let r(d) be the first derivative of d**4/24 - 17*d**3/9 + 95*d**2/12 - 31*d/3 - 1543. Suppose r(c) = 0. Calculate c.
1, 2, 31
Let t be 5*((15 - (-1026)/(-135)) + -7*1). Factor 1/2*u + 0 + 1/12*u**t.
u*(u + 6)/12
Factor 0 - 6/5*b + 1/5*b**5 - 7/5*b**3 + 1/5*b**4 - 13/5*b**2.
b*(b - 3)*(b + 1)**2*(b + 2)/5
Let k(b) = -37*b**3 - 630*b**2 - 25*b - 132. Let d be k(-17). Let 0 + m**3 - 5/7*m**d + 0*m + 1/7*m**5 - 3/7*m**2 = 0. Calculate m.
0, 1, 3
Let o = 7730014/5 + -1539782. Solve 864/5*j - 6/5*j**2 - o = 0 for j.
72
Let c(y) be the first derivative of -39 + 8/7*y + 2/3*y**3 - 16/7*y**2. Factor c(f).
2*(f - 2)*(7*f - 2)/7
Factor -2/7*d**3 + 12*d**2 + 2888/7 - 1026/7*d.
-2*(d - 19)**2*(d - 4)/7
Let t(l) = 54*l**3 + 290*l**2 - 3947*l + 15552. Let h(y) = 129*y**3 + 726*y**2 - 9867*y + 38880. Let u(w) = 5*h(w) - 12*t(w). Determine r, given that u(r) = 0.
9, 32
Let a(q) be the second derivative of 5*q**4/12 - 95*q**3/6 + 85*q**2 - 6*q + 50. Factor a(u).
5*(u - 17)*(u - 2)
Let l = -1805/4 + 5431/12. Let d be (-1 - (-22)/9) + -1. Factor 4/3*o + 4/9*o**3 - l*o**2 - d.
4*(o - 1)**3/9
Let o = 417509/574090 - -1/52190. Factor 8/11*s - o - 2/11*s**2.
-2*(s - 2)**2/11
Suppose 12*z**4 - 4*z**4 + 6*z**3 + 2*z**4 + 20402*z**2 - 8*z**4 - 410*z**3 = 0. What is z?
0, 101
Let o(u) = -6*u**2 + 21*u - 18. Let g(c) = -28 + 5*c - 11*c**2 + 19 + 37*c - 27. Let b(d) = 3*g(d) - 5*o(d). Let b(h) = 0. Calculate h.
1, 6
Factor 11/3*p - 10/3*p**2 - 1/3*p**3 + 0.
-p*(p - 1)*(p + 11)/3
Suppose 0 = -38*t - 25882 + 3728. Let w = t - -2927/5. Factor 3/5*f**2 - 12/5 - w*f + 3/5*f**3.
3*(f - 2)*(f + 1)*(f + 2)/5
Let m(y) be the third derivative of 0*y + 0 - 1/2*y**3 - 1/120*y**5 + 5/48*y**4 + 306*y**2. Determine c, given that m(c) = 0.
2, 3
Let j(p) be the second derivative of -p**5/40 - 5*p**4/3 + 173*p**3/12 - 33*p**2 + 550*p. Factor j(w).
-(w - 3)*(w - 1)*(w + 44)/2
Suppose 7*a - 2*a + 2*w - 29 = 0, -a + 4*w = 3. Let x be 3 - 7*((-86)/(-14) - 7). Solve 409*c**a + 9*c**2 - 406*c**5 - x*c**4 - 3*c**3 + 0*c**3 = 0 for c.
-1, 0, 1, 3
Let t(g) be the second derivative of -g**7/3780 - 11*g**6/1620 - 47*g**3/6 + g**2 + 8*g - 3. Let m(r) be the seco