 + 4000*j - 1586. Suppose a(t) = 0. What is t?
-5, -4, 2
Let o be (-2)/(-4)*(-4)/(-3). Let n be 2/((-16)/(-12))*8/(-18)*-1. Factor n*d**2 + o*d + 0.
2*d*(d + 1)/3
Suppose -182*y = -188*y + 390. Factor 1458 - 11*n**2 + y*n**2 + 436*n - 149*n + 2*n**3 + 199*n.
2*(n + 9)**3
Suppose -3 = -r - t, -6 + 3 = -2*r - t. Let z be (-24)/(-36)*(r - -3). Let -4/7*k**z - 4/7*k**4 + 0*k - 8/7*k**3 + 0 = 0. Calculate k.
-1, 0
Let m = 1048 - 673. Factor -519*o - 302*o + 4 + 216*o - m*o + 37533*o**2 + 22492*o**2.
(245*o - 2)**2
Let 66/7*c**3 + 0 - 2/7*c**4 - 576/7*c**2 + 512/7*c = 0. What is c?
0, 1, 16
Let r(y) be the third derivative of -y**7/840 - 3*y**6/80 + 11*y**5/20 + 113*y**4/8 - 236*y**2. Let t(w) be the second derivative of r(w). Factor t(o).
-3*(o - 2)*(o + 11)
Let u be 26 - -21*703/(-798). Determine t so that -u + 57/8*t + 3/8*t**2 = 0.
-20, 1
Let k(x) = x**2 + 5*x + 10. Let u = -29 + 26. Let p be k(u). Suppose -1 + 24*v**3 + 6*v**p + 33*v**2 - 10*v**5 + 1 - 25*v**2 = 0. Calculate v.
-1, -2/5, 0, 2
Let a(d) be the third derivative of 1/720*d**6 + 0 - 25/6*d**3 + 0*d + 8*d**2 - 1/80*d**5 - 1/12*d**4. Let f(x) be the first derivative of a(x). Factor f(g).
(g - 4)*(g + 1)/2
Let o = -92 + 113. Find y, given that 10 + o*y + 10 - 17*y - 19*y + 5*y**4 - 25*y**2 + 15*y**3 = 0.
-4, -1, 1
Solve -73*x**3 - 34*x**3 + 2*x - 16*x**4 + 10*x - 68*x**3 + 139*x**3 + 40*x**2 = 0.
-3, -1/4, 0, 1
Let -46/13*p**4 + 5110/13*p**2 - 2/13*p**5 + 38/13*p**3 + 12900/13*p - 18000/13 = 0. What is p?
-15, -4, 1, 10
Let g(o) be the third derivative of o**6/48 + o**5/10 - o**4/4 - 7*o**3/2 + 78*o**2. Let i(r) be the first derivative of g(r). Determine z so that i(z) = 0.
-2, 2/5
Suppose 48*c - 158*c = -12*c + 344*c. Factor -1/3*j**2 + 0 - 1/3*j**3 + c*j.
-j**2*(j + 1)/3
Let w(r) be the first derivative of 14 - 3*r - 13/2*r**2 - 10/3*r**3. Factor w(p).
-(p + 1)*(10*p + 3)
Solve 8785296/5 - 5928/5*w + 1/5*w**2 = 0.
2964
Determine n, given that -31/3*n + 223/6*n**2 - 1/6*n**4 - 56 - 26/3*n**3 = 0.
-56, -1, 2, 3
Suppose 318*p = 287*p + 527. Let g(n) be the first derivative of 0*n + n**2 - 4/9*n**3 + p + 1/18*n**4. What is l in g(l) = 0?
0, 3
Let b be (1 + (-6)/4)*-1. Let i(n) = 138*n + 831. Let v be i(-6). Solve 0 + 0*f**2 - b*f**v + 0*f + 1/4*f**5 + 1/4*f**4 = 0.
-2, 0, 1
Let p(b) be the third derivative of -b**7/70 - b**6/40 + 83*b**5/20 - 279*b**4/8 + 99*b**3 + 11*b**2 - 10*b - 11. Let p(o) = 0. Calculate o.
-11, 1, 3, 6
Let u(h) be the second derivative of -h**4/48 - 25*h**3/6 - 4392*h. Factor u(c).
-c*(c + 100)/4
Let r be (((-1408)/(-66))/8)/((-2)/(-3)). Let y(d) be the second derivative of 1/60*d**5 + 1/3*d**2 - 5/18*d**3 - 1/90*d**6 + 15*d + 1/12*d**r + 0. Factor y(q).
-(q - 1)**3*(q + 2)/3
Let c(g) be the first derivative of 13*g**4/2 - 106*g**3 + 179*g**2 - 66*g - 4113. Factor c(u).
2*(u - 11)*(u - 1)*(13*u - 3)
Let t(u) be the third derivative of -17576/27*u**3 + 0*u + 169/9*u**4 - 13/45*u**5 + 0 + 1/540*u**6 + 61*u**2. Let t(i) = 0. What is i?
26
Suppose 5*u = 2*y + 35, 10 = 316*y - 318*y. Let m(q) be the first derivative of 0*q**2 + 4/35*q**u - 8/21*q**3 + 0*q + 17 + 1/7*q**4. Factor m(n).
4*n**2*(n - 1)*(n + 2)/7
Factor -2/3 + 2/9*i**4 + 4/9*i**2 + 8/9*i**3 - 8/9*i.
2*(i - 1)*(i + 1)**2*(i + 3)/9
Let c be (-4)/((-98)/7 - -7 - 5). Let b(z) be the first derivative of -1/5*z**5 - 1 + 1/2*z**4 + 0*z**2 + 0*z - c*z**3. Factor b(t).
-t**2*(t - 1)**2
Let l(k) be the first derivative of k**4/60 - 29*k**3/15 + 57*k**2/10 - 155*k - 144. Let j(x) be the first derivative of l(x). Factor j(n).
(n - 57)*(n - 1)/5
Suppose -4*u + 88 = -56. Suppose -j + u - 21 = 0. Factor -24*d - 22*d**3 + 10*d**3 + j*d**2 + 12 + 9*d**3.
-3*(d - 2)**2*(d - 1)
Suppose 117*i + 321 = -83*i + 1321. Let n(b) be the third derivative of -1/10*b**3 - 1/30*b**4 + 7/300*b**i - 12*b**2 + 0*b + 0. Factor n(r).
(r - 1)*(7*r + 3)/5
Let g(l) be the third derivative of -2/45*l**5 + l + 0 - 53*l**2 + 0*l**3 - 7/360*l**6 + 1/18*l**4 + 1/126*l**7. Factor g(v).
v*(v - 2)*(v + 1)*(5*v - 2)/3
Let l(h) be the first derivative of -h**5/36 - 295*h**4/36 - 17405*h**3/18 - 67*h**2 - 67. Let k(a) be the second derivative of l(a). What is b in k(b) = 0?
-59
Let u(h) be the second derivative of h**7/630 - 13*h**6/180 + 11*h**5/15 - 19*h**4 - 13*h + 1. Let l(x) be the third derivative of u(x). What is b in l(b) = 0?
2, 11
Suppose 7*v + 4*z = 8*v - 8, -4 = 4*v + 2*z. Let s**4 + 6*s**5 + s**3 - 2*s**5 + v*s**5 - s**2 - 5*s**5 = 0. Calculate s.
-1, 0, 1
Let r(x) = x**2 - 4*x**2 + 0 - 2*x + 0 - 3. Let z(t) be the second derivative of t**4/12 + t**2/2 + 150*t. Let f(n) = r(n) + 4*z(n). Solve f(w) = 0 for w.
1
Let u(o) = o**2 - 15*o + 41. Let k be u(12). What is x in 23800*x + k*x**3 - 23800*x - 65*x**2 = 0?
0, 13
Let l(u) be the third derivative of u**8/224 + 11*u**7/280 - 21*u**6/160 + u**2 + 12*u - 1. Factor l(y).
3*y**3*(y + 7)*(2*y - 3)/4
Suppose -2*n - 348 = -2*l, 3*n + 695 = -0*l + 4*l. Let c = -76 + l. Factor c*j - 4*j**4 - 97*j - 4*j**3.
-4*j**3*(j + 1)
Let x(g) be the third derivative of g**6/24 - 65*g**5/6 - 1315*g**4/24 - 110*g**3 + 866*g**2 + 2*g. Factor x(u).
5*(u - 132)*(u + 1)**2
Let u = 232 - 239. Let c(p) = 12*p**3 - 55*p - 7. Let t(n) = -4*n**3 + 18*n + 2. Let a(m) = u*t(m) - 2*c(m). Find k such that a(k) = 0.
-2, 0, 2
Let t(x) be the first derivative of -2*x**3 - 207*x**2/2 - 297*x - 357. Determine w, given that t(w) = 0.
-33, -3/2
Factor 229/2*t + 1/2*t**2 + 339.
(t + 3)*(t + 226)/2
Let l be 13 + (26/52 - 12). Let x = -131/2 - -66. Factor -c**2 + 0 - x*c**4 + 0*c + l*c**3.
-c**2*(c - 2)*(c - 1)/2
Let p(s) = 9*s + 149. Let x be p(-16). Suppose -f - x*h + 3 = -15, -f - h + 6 = 0. Find a, given that -1/3*a - 1/2*a**2 - 1/6*a**f + 0 = 0.
-2, -1, 0
Factor 1/4*j**2 + 334*j + 1335/4.
(j + 1)*(j + 1335)/4
Let i be 2*(-3)/(0 + 3) - -81. Factor 20 + 4 - 5*m**2 - 60*m - i.
-5*(m + 1)*(m + 11)
Let t(c) = -17*c**3 - c**2 - 144*c - 115. Let m(p) = -21*p**3 - 147*p - 114. Let h(d) = 5*m(d) - 6*t(d). Factor h(w).
-3*(w - 8)*(w + 1)*(w + 5)
Let h(d) be the second derivative of d**5/20 - 76*d**4/3 + 11552*d**3/3 + 18*d - 10. Factor h(v).
v*(v - 152)**2
Factor -1867 + 247 - 449*t - 1166*t + 5*t**2.
5*(t - 324)*(t + 1)
Find g, given that 5/4*g**3 - 9/4*g + 9/2 - 7/2*g**2 = 0.
-6/5, 1, 3
Let r = -896 - -897. Let q be (20/(-25))/(r/(-1)). Factor 0 + 6/5*z**2 + 2/5*z**3 + q*z.
2*z*(z + 1)*(z + 2)/5
Let g(y) be the third derivative of -y**6/150 + 14*y**5/75 + 73*y**4/6 - 252*y**3/5 + 3*y**2 + 249. Factor g(h).
-4*(h - 27)*(h - 1)*(h + 14)/5
Let g(z) be the second derivative of -z**6/270 + 7*z**5/90 - 61*z**4/108 + 14*z**3/9 - 2*z**2 + 1074*z. Solve g(c) = 0 for c.
1, 6
Let f(w) be the second derivative of -2*w**5/45 - w**4/6 + 478*w**3/27 + 40*w**2/3 - 2*w - 333. Suppose f(z) = 0. What is z?
-12, -1/4, 10
Suppose 21*b - 5*b**2 + b**2 + 2*b**3 + 32 - 53*b + 2*b**2 = 0. Calculate b.
-4, 1, 4
Let c(t) be the first derivative of -t**3/9 - 116*t**2/3 + 1025. Suppose c(y) = 0. What is y?
-232, 0
Let a(r) = 23*r**3 + 631*r**2 + 4477*r - 39659. Let t(u) = -8*u**3 - 211*u**2 - 1492*u + 13219. Let z(n) = 3*a(n) + 8*t(n). Factor z(l).
5*(l - 5)*(l + 23)**2
Solve 0*k - 2/11 + 2/11*k**2 = 0 for k.
-1, 1
Let t = -4570 + 4575. Let n(p) be the third derivative of 0*p - 1/14*p**4 + 3/14*p**3 + 1/140*p**t + 12*p**2 + 0. Factor n(s).
3*(s - 3)*(s - 1)/7
Let j(t) be the third derivative of 0 + 9/320*t**6 + 0*t - 23*t**2 + 1/70*t**7 + 0*t**4 + 0*t**5 + 0*t**3 - 1/896*t**8. Factor j(g).
-3*g**3*(g - 9)*(g + 1)/8
Let m(y) be the second derivative of 1/1260*y**6 - 47/6*y**3 + 0*y**4 + 17*y + 0*y**2 - 1/140*y**5 + 0. Let j(g) be the second derivative of m(g). Factor j(i).
2*i*(i - 3)/7
Let i(t) = 2*t**3 - 76*t**2 + 103*t + 1479. Let j be i(36). Find v such that 0 - 2/5*v**4 - 2*v**j - 8/5*v - 16/5*v**2 = 0.
-2, -1, 0
Let d(f) be the second derivative of 1/2*f**3 - 3/20*f**5 - 35 - f**4 - 2*f + 6*f**2. Find i, given that d(i) = 0.
-4, -1, 1
Let u(j) be the first derivative of 5*j**6/3 - 346*j**5/35 + 305*j**4/14 - 454*j**3/21 + 8*j**2 + 8*j/7 + 496. Solve u(q) = 0.
-2/35, 1, 2
Let b(g) be the first derivative of -6*g**3/11 + 2765*g**2/11 - 1228*g/11 + 6207. Determine p, given that b(p) = 0.
2/9, 307
Let j(s) = 5*s**2 + 37*s + 68. Let c be j(-3). Find w such that 3*w 