or 4/5 + 4/5*g + 1/5*g**4 - 2/5*g**z - 3/5*g**2.
(g - 2)**2*(g + 1)**2/5
Suppose 9284 - 10390 = -553*i. Solve m - 3/2 - m**3 - 1/2*m**4 + 2*m**i = 0.
-3, -1, 1
Let k = 1666 + -919. Let v be (-1 - 25/(-27))/((-498)/k). Suppose -1/3*y**2 - v*y**3 + 1/9*y**4 - 2/9 + 5/9*y = 0. Calculate y.
-2, 1
Suppose -9*j = -184 + 166. Let w(t) be the second derivative of 0 - 1/9*t**j - 2*t - 1/18*t**3 - 1/108*t**4. Factor w(u).
-(u + 1)*(u + 2)/9
Let s(z) be the first derivative of z**6/42 - 13*z**5/105 + z**4/7 + 13*z**2/2 - 2*z + 55. Let o(i) be the second derivative of s(i). Factor o(w).
4*w*(w - 2)*(5*w - 3)/7
Let i be ((-1036)/(-63) + -17)/((425/(-20))/17). Suppose -1/3 - 1/9*a + i*a**2 = 0. What is a?
-3/4, 1
Suppose 2/15*c**4 - 1534/5*c**2 - 512/5 - 4606/15*c - 102*c**3 = 0. What is c?
-1, 768
Determine p, given that 65*p**2 + 222*p - 220*p**2 + 10*p**3 + 10711 + 248*p - 10436 = 0.
-1/2, 5, 11
Suppose -3*q + 2*n + 49 = 0, -26*q - 32 = -28*q + 2*n. Let v(w) be the first derivative of -245/3*w**3 - q - 45*w + 105*w**2. Factor v(l).
-5*(7*l - 3)**2
Let n be (-1)/(1151/1731 + (-16)/24). Let c = n + -1721/3. Suppose -5*z**2 + 5/3*z**3 + c*z + 0 = 0. What is z?
0, 1, 2
Suppose 2*r = -2*t - 2*r - 304, -5*r + 268 = -2*t. Let h be 63/6*t/(-56). Factor h*u**2 + 12*u + 4/3.
(9*u + 2)**2/3
Let q(r) = r**2 + 3 + 2*r + 10*r**2 - 3*r - r**3 - 16*r. Let n be q(9). Determine l so that -46*l + n*l - 80 - 5*l**2 - 6*l = 0.
-4
Suppose -10*u + 2/11*u**2 + 108/11 = 0. Calculate u.
1, 54
Find k, given that -162/7*k + 74/7*k**2 + 2/7*k**3 - 234/7 = 0.
-39, -1, 3
Let y(l) be the first derivative of 5/3*l**3 - 5*l - 120 - 5/4*l**4 + 5/2*l**2. Factor y(r).
-5*(r - 1)**2*(r + 1)
Suppose -416*w = -56*w. Let -2/9*h**3 + 8/9*h + 0 + w*h**2 = 0. What is h?
-2, 0, 2
Suppose -3*t - 11*h - 193 = -6*h, 285 = -5*t - h. Let z be 126/28 + (-580)/t. Factor -52/7*m**2 - 6/7*m**3 - z*m - 48/7.
-2*(m + 2)*(m + 6)*(3*m + 2)/7
Let b(m) be the second derivative of m**7/2100 + m**6/225 + m**5/60 + m**4/30 - 2*m**3/3 + 124*m. Let t(h) be the second derivative of b(h). Factor t(s).
2*(s + 1)**2*(s + 2)/5
Let w(g) = -g**2 + g. Let l(i) = -2*i**2 - 2*i - 1. Let r(o) = l(o) + 2*w(o). Let k(z) = 5*z**2 - 2 - 2*z**2 - 2 + 5. Let u(n) = 5*k(n) + 4*r(n). Factor u(x).
-(x - 1)*(x + 1)
Let z(f) be the second derivative of 1/3*f**4 - 2*f**3 + 0 + 1/15*f**5 - 18*f**2 + 145*f. Determine g so that z(g) = 0.
-3, 3
Let w(l) be the second derivative of -31/14*l**4 + 33/70*l**5 - 1/105*l**6 + 4 - 30/7*l**2 - 5*l + 13/3*l**3. Factor w(c).
-2*(c - 30)*(c - 1)**3/7
Let v(x) be the third derivative of x**8/7 + 104*x**7/15 - 827*x**6/90 - 866*x**5/15 - 259*x**4/6 - 124*x**3/9 - 122*x**2 + 4*x. Let v(c) = 0. What is c?
-31, -1, -1/6, 2
Let x be 590/100 - 6 - 18718/20. Let f = 4683/5 + x. Factor f*a**2 - 24/5 - 6/5*a.
3*(a - 4)*(a + 2)/5
Factor 65/3 - 23/3*r**2 - 2/9*r**3 + 356/9*r.
-(r - 5)*(r + 39)*(2*r + 1)/9
Let q = -1286515/8 - -160815. Factor 9/8 - q*h**2 - 3/8*h - 1/8*h**3.
-(h - 1)*(h + 3)**2/8
Let p(n) be the third derivative of -n**7/70 - 13*n**6/8 + 68*n**5/5 - 69*n**4/2 + 7*n**2 + 24*n. Factor p(l).
-3*l*(l - 2)**2*(l + 69)
Suppose v = -2*h - 142, 3*h = 5*v + 371 + 352. Let s be (v/(-20))/3 - 0. What is o in 11/5 + s*o + 1/5*o**2 = 0?
-11, -1
Let d(l) be the second derivative of -l**7/14 + 31*l**6/5 + 189*l**5/20 - 5581*l. Suppose d(n) = 0. Calculate n.
-1, 0, 63
Solve 52/7*t - 60/7 + 1/7*t**3 - 13/7*t**2 = 0.
2, 5, 6
Let c(i) be the third derivative of -i**6/240 - i**5/60 + 19*i**4/16 - 9*i**3/2 - 1176*i**2. Factor c(d).
-(d - 6)*(d - 1)*(d + 9)/2
Let q be (8/28)/(260/364). Let w(s) be the first derivative of -32 - 4/5*s**2 + q*s**3 - 8/5*s + 2/25*s**5 + 2/5*s**4. Let w(l) = 0. Calculate l.
-2, -1, 1
Let j(l) be the third derivative of 0*l**3 + 4*l + 1/12*l**5 - 5/24*l**4 - 1/42*l**7 + 1/24*l**6 + l**2 + 0. Factor j(t).
-5*t*(t - 1)**2*(t + 1)
Suppose -2*s - 63 = -9*s. Suppose -s*i + 16 = -2. Find p, given that -4*p**3 - i*p**3 + 46*p**4 - 25*p**4 - 23*p**4 - 4*p**2 = 0.
-2, -1, 0
Let i(w) be the first derivative of -w**3/18 + 41*w**2/12 - 69*w + 2915. Factor i(k).
-(k - 23)*(k - 18)/6
Let m(s) be the third derivative of s**5/90 - s**4/36 - 699*s**2. Factor m(g).
2*g*(g - 1)/3
Let u(v) = v**3 - 13*v**2 - 47*v - 12. Let f be u(16). Let y(z) = -z**2 + 5*z. Let c be y(f). Solve 0*r**2 + 0*r + 0 + 8/9*r**5 + 2/9*r**3 - 8/9*r**c = 0.
0, 1/2
Let w = -1429 + 1429. Let g = 370/7 + -52. Factor w*f + g*f**3 + 4/7*f**2 + 2/7*f**4 + 0.
2*f**2*(f + 1)*(f + 2)/7
Let l be 5 + 82/(-14)*(-364)/(-520). Let j(g) be the second derivative of -11*g + 1/20*g**6 + 0 + l*g**5 + 243/4*g**2 + 27*g**3 + 27/4*g**4. Factor j(f).
3*(f + 3)**4/2
Let r(g) be the third derivative of g**5/210 + 295*g**4/84 - 296*g**3/21 - 6*g**2 + 298*g. Factor r(a).
2*(a - 1)*(a + 296)/7
Let k(r) be the third derivative of -r**7/140 - r**6/8 - 9*r**5/40 - 3050*r**2. Let k(c) = 0. What is c?
-9, -1, 0
Let t be 0/(-4)*(-51)/510. Suppose -8/5*j**2 - 4/5*j**5 - 16/5*j**4 + 0 - 4*j**3 + t*j = 0. Calculate j.
-2, -1, 0
Let x(b) = -10*b**2 - 13*b - 3. Let c(u) be the second derivative of -u**4/4 - 2*u**3/3 - u**2/2 + 2*u. Let p = 2 + 0. Let f(i) = p*x(i) - 7*c(i). Factor f(m).
(m + 1)**2
Let z(f) be the first derivative of f**6/960 - f**4/16 - f**3/3 + f**2/2 + 21*f + 90. Let u(w) be the second derivative of z(w). Solve u(i) = 0.
-2, 4
Let n(d) be the third derivative of -d**8/336 + d**7/14 - 41*d**6/60 + 33*d**5/10 - 205*d**4/24 + 25*d**3/2 - 31*d**2 + 93. Let n(t) = 0. What is t?
1, 3, 5
Let a(p) be the first derivative of p**4/32 + p**3/24 - 5*p**2/2 - 14*p - 5300. Suppose a(h) = 0. Calculate h.
-4, 7
Factor -127/4*m**2 - 3/4*m**3 - 225/4 + 355/4*m.
-(m - 1)*(m + 45)*(3*m - 5)/4
Let n(x) be the second derivative of 0*x**2 - 4*x + 0 + 1/180*x**6 + 1/4*x**4 + 1/15*x**5 + 1/3*x**3. Let d(l) be the second derivative of n(l). Factor d(z).
2*(z + 1)*(z + 3)
Let u(r) be the second derivative of -r**7/84 - 251*r**6/60 - 16123*r**5/40 - 46873*r**4/24 - 11594*r**3/3 - 3844*r**2 + 2953*r. Solve u(y) = 0.
-124, -1
Let j(v) be the first derivative of 4*v**3/15 - 118*v**2/5 - 48*v - 375. Factor j(d).
4*(d - 60)*(d + 1)/5
Let a = 229207/91678 + -6/45839. Factor 9 - 1/2*n**4 - a*n**3 - 1/2*n**2 + 21/2*n.
-(n - 2)*(n + 1)*(n + 3)**2/2
Let q = 237 - 235. Let v(p) be the second derivative of 3/2*p**3 + 0 - 6*p**q + 1/4*p**4 - 4*p. Factor v(t).
3*(t - 1)*(t + 4)
Let r(l) be the second derivative of -23/70*l**5 + 10/7*l**2 - 19/14*l**4 - 17/21*l**3 + 1/15*l**6 - 15 - 2*l. What is u in r(u) = 0?
-1, 2/7, 5
Let v = -11372/111 + 3840/37. Find u such that v*u - 64/3*u**2 - 192*u**4 + 0 + 112*u**3 = 0.
0, 1/6, 1/4
Factor -155*w**3 - 25*w**4 + 5*w**5 - 90*w + 4038 - 215*w**2 - 4038.
5*w*(w - 9)*(w + 1)**2*(w + 2)
Let l(f) be the third derivative of f**6/30 + 19*f**5/15 - 32*f**4/3 + 88*f**3/3 - 7*f**2 + 129*f. Solve l(x) = 0.
-22, 1, 2
Let f(p) be the first derivative of 3*p**4/4 + 40*p**3 - 258*p**2 + 528*p + 389. Suppose f(t) = 0. What is t?
-44, 2
Let u(k) = -3*k + 20. Let p be u(6). Suppose p*r + r = 2*q + 6, 0 = q + r - 7. Factor 10 - q*z**2 - 5 - 12*z + 3*z**3 + 7.
3*(z - 2)*(z - 1)*(z + 2)
Let c(o) be the second derivative of 0*o**2 - 1/115*o**5 + 0*o**3 - 103*o + 0*o**4 - 1/69*o**6 + 0. Factor c(r).
-2*r**3*(5*r + 2)/23
Let g(k) be the first derivative of k**6/240 + 7*k**5/720 - k**4/72 - k**3/3 - 11*k + 34. Let t(a) be the third derivative of g(a). Find r such that t(r) = 0.
-1, 2/9
Determine q so that -178*q + 1 + 10739*q**2 - 10740*q**2 - 4 + 3 = 0.
-178, 0
Suppose 988*x = 986*x + 10. Let s = 7 + -5. Factor 6 - i**s + 4*i + x*i - 8*i.
-(i - 3)*(i + 2)
Suppose -3*v - 1 + 10 = 0. Let j(z) = -z + 53. Let s be j(9). Factor 29*t**2 + 17 + s*t - 4*t**4 + 4*t**3 - 5 + 27*t**2 + 20*t**v - 4*t**5.
-4*(t - 3)*(t + 1)**4
Let h(f) = 21*f**2 + 79*f - 4. Let c(p) = -61*p**2 - 236*p + 11. Let z(r) = -4*c(r) - 11*h(r). Factor z(q).
q*(13*q + 75)
Let f(w) be the second derivative of 13*w**5/20 + 307*w**4/72 + 73*w**3/9 - 5*w**2/3 - 16*w - 50. Factor f(j).
(j + 2)**2*(78*j - 5)/6
Suppose -304*z + 6 = -307*z. Let p be (-2 + 5)*2 + z. Find b, given that -6/13*b**3 - 4/13 + 14/13*b**2 - 10/13*b**p + 6/13*b = 0.
-1, 2/5, 1
Let t(h) = -10*h**3 - 66*h**2 - 121*h - 49. Let l = -160 + 163. Let d(b) = 