f**5 - 1/6*f**2 + 13. Factor p(j).
-(j - 4)*(j - 1)*(j + 1)**2/9
Suppose 2*t - 5*i - 149 = 0, 12*t - 227 = 9*t + 4*i. Factor -5*n - 1 - 5*n**2 + 24 + t.
-5*(n - 4)*(n + 5)
Let n be (9 + 134/(-15))*12. Let p = 8/15 + n. Factor -8/3*a**4 + 0*a - 2/3*a**3 + 2*a**5 + 0 + p*a**2.
2*a**2*(a - 1)**2*(3*a + 2)/3
Let y(z) = z**3 - 2*z**2 - 17*z + 14. Let i be y(6). Determine o, given that -196 - i*o + 253*o**2 - 131*o**2 - 126*o**2 = 0.
-7
Let q(y) be the first derivative of -33/5*y**5 + 56*y**3 + 1152*y - 1/2*y**6 - 45/2*y**4 + 528*y**2 + 69. Determine o, given that q(o) = 0.
-4, -2, 3
Let a be (-13595)/(-1430) + -7 - (0 + 1). Let f = a + -1/143. Suppose 24 + 12*m + f*m**2 = 0. What is m?
-4
Let q(c) = -20*c - 739. Let z be q(-40). Let k(n) = -n. Let d be k(-5). Let -5*a**5 - 6*a**3 + 46*a**4 - 9*a**3 - d*a**2 - z*a**4 = 0. Calculate a.
-1, 0
Suppose 0 = 2*a - 8, 10*h - 3*a + 6 = 8*h. Let n be h/(-1) - (-9 - (-7 + 4)). What is s in 112/3*s + 64/3 + 1/3*s**4 + 13/3*s**n + 20*s**2 = 0?
-4, -1
Suppose 5/2*b**3 + 1/4*b**5 + 5/4 - 11/4*b + 1/2*b**2 - 7/4*b**4 = 0. Calculate b.
-1, 1, 5
Solve -19/3*a**2 - 1 - 2/3*a**4 - 13/3*a - 11/3*a**3 = 0 for a.
-3, -1, -1/2
Suppose 3*y - p - 5 - 3 = 2*y, 0 = 6*p + 36. Factor -9/4*x - 1/4*x**y + 0.
-x*(x + 9)/4
Let q(m) be the third derivative of m**8/1176 - m**7/245 - 59*m**6/210 + 181*m**5/105 - 121*m**4/28 + 121*m**3/21 + 6316*m**2. Find v, given that q(v) = 0.
-11, 1, 11
Let v(c) be the first derivative of -625/6*c - 5/12*c**4 + 875/12*c**2 - 1/36*c**6 + 98 - 125/9*c**3 + 11/30*c**5. Factor v(l).
-(l - 5)**3*(l - 1)*(l + 5)/6
Let n(z) be the first derivative of -z**7/3360 + z**6/40 + 5*z**5/32 + 19*z**4/48 - z**3/3 + 104*z - 72. Let a(j) be the third derivative of n(j). Factor a(y).
-(y - 38)*(y + 1)**2/4
Solve -1/6*o**3 + 17/6*o**2 - 71/6*o + 55/6 = 0 for o.
1, 5, 11
Factor -54*j**3 + 7*j - 82*j + 50 + 22 + 4*j**4 - 192*j + 218*j**2 + 27*j.
2*(j - 6)**2*(j - 1)*(2*j - 1)
Let a = -514038/187 - -46740/17. Suppose -6/11 - a*f**2 - 12/11*f = 0. Calculate f.
-1
Let x be 8/(-8)*82*-1. Determine q so that -3*q**2 - x + 30*q + 82 = 0.
0, 10
Factor 69*n + 189 + 1/3*n**3 + 25/3*n**2.
(n + 7)*(n + 9)**2/3
Let a be (-12)/(-90) + (-258)/(-90). Solve 19 + 39*c - 17*c + 24*c**2 + 10*c**a - 12 + c**4 = 0 for c.
-7, -1
Let r(a) be the first derivative of -8/3*a**3 - 8 - 1/6*a**4 - 16*a**2 - 8*a. Let l(b) be the first derivative of r(b). Let l(m) = 0. What is m?
-4
Let r(i) be the first derivative of 2*i**3/11 - 170*i**2/11 + 224*i/11 - 3356. Determine w, given that r(w) = 0.
2/3, 56
Suppose 0 = -17*a + 176255 - 175031. Factor 6*j**2 + a + 36*j + 1/3*j**3.
(j + 6)**3/3
Suppose -429*n**2 - 255*n + 135*n**4 + 532*n**2 - 259*n**5 - 521*n**3 - 25 - 249*n**3 + 747*n**2 + 324*n**5 = 0. What is n?
-5, -1/13, 1
Let v be 0 - -1 - -4 - (12 + -16 + 7). Let o(s) be the second derivative of 0*s**4 + 0 - 1/15*s**5 + 1/45*s**6 - 1/3*s**v + 2/9*s**3 + 22*s. Factor o(x).
2*(x - 1)**3*(x + 1)/3
Let k(t) = -2*t**2 - 19*t - 84. Let q be k(-25). Let v = q + 2609/3. Factor 32/3 - 4/3*z**5 + v*z**4 + 152/3*z**2 - 112/3*z - 100/3*z**3.
-4*(z - 2)**3*(z - 1)**2/3
Determine i so that 8257039*i**2 - i**3 - 152*i + 3*i**3 - 8257189*i**2 = 0.
-1, 0, 76
Let d(h) = -h**3 + 46*h**2 + 80*h + 48. Let o = -5 + -5. Let t(s) = 22*s**2 + 40*s + 24. Let b(k) = o*t(k) + 4*d(k). Let b(r) = 0. What is r?
-6, -2, -1
Factor -86/5*q + 2/5*q**3 + 12 + 24/5*q**2.
2*(q - 2)*(q - 1)*(q + 15)/5
Suppose 1340 = 4*n - 3*b, -318 = 44*n - 45*n + 5*b. Suppose 121*f**3 + 41*f**3 + 76*f - n*f**2 - 17*f**3 + 14*f**4 + 103*f**3 = 0. What is f?
-19, 0, 2/7, 1
Let j = 1088577/4 - 272144. Determine f so that -20*f + j*f**2 + 400 = 0.
40
Factor 207/4*c - 567/4 + 1/4*c**3 - 25/4*c**2.
(c - 9)**2*(c - 7)/4
Let t(u) = -9*u**3 + 148*u**2 + 4597*u + 22. Let s(d) = -5*d**3 + 72*d**2 + 2298*d + 12. Let i(h) = 11*s(h) - 6*t(h). Factor i(y).
-y*(y + 48)**2
Let l(t) = -4*t**3 + 3*t**2 - 4*t - 2. Let q be l(2). Let i be (q/12)/(5/(-6)). Factor 3/4*n**2 + 1/4*n - 3/4 - 1/4*n**i.
-(n - 3)*(n - 1)*(n + 1)/4
Let i = 212571 + -212569. Factor -2/15*v**i + 0*v + 0.
-2*v**2/15
Let y(d) be the first derivative of 1/30*d**5 - 1/2*d**2 - 1/12*d**4 - 8*d - 1 - 4/9*d**3. Let a(m) be the first derivative of y(m). Factor a(f).
(f - 3)*(f + 1)*(2*f + 1)/3
Suppose -244*o = -240*o - 8. Factor -6/11 - 1/11*i**o - 5/11*i.
-(i + 2)*(i + 3)/11
Let p(m) be the first derivative of -49*m**4/4 + 3136*m**3/3 + 2*m**2 - 256*m - 1197. Suppose p(u) = 0. Calculate u.
-2/7, 2/7, 64
Suppose 0 = 34*w - 38 + 38. Let l(k) be the third derivative of 0*k**5 + 10*k**2 + w*k**4 + 1/840*k**6 + 1/1470*k**7 + 0*k + 0*k**3 + 0. Factor l(v).
v**3*(v + 1)/7
Suppose -47/3*f**4 + 1/2*f**5 + 154*f**2 + 947/6*f + 145/3 + 85/3*f**3 = 0. What is f?
-1, -2/3, 5, 29
Suppose 30 = -o + 38. Suppose -12*d**5 + 96*d**3 + 12*d**4 + 398*d**2 + o*d**5 - 286*d**2 = 0. What is d?
-2, 0, 7
Let q be -736 - -734 - (48/(-23) - 0). Factor -q - 2/23*g**2 + 4/23*g.
-2*(g - 1)**2/23
Let u(j) be the first derivative of -41 - 2/33*j**3 + 96/11*j - 13/11*j**2. Determine l so that u(l) = 0.
-16, 3
Let 46*m**4 - 360*m**3 + 1888*m + 1152 + 42*m**3 - 1675*m**2 + 1059*m**2 + 986*m**2 - 2*m**5 = 0. Calculate m.
-1, 8, 9
Let c(g) be the first derivative of 2/63*g**3 - 63 + 0*g - 5/21*g**2. Factor c(q).
2*q*(q - 5)/21
Factor 65*w**2 - 55*w - 376*w**2 + 47*w**2 + 119*w**2 + 62 + 28.
-5*(w + 1)*(29*w - 18)
Let t(p) be the third derivative of 0 - 3*p**2 - 1/60*p**6 + 13/30*p**5 - 4*p**4 - 4*p + 12*p**3. Find g, given that t(g) = 0.
1, 6
Let f(y) be the first derivative of -14*y**3/15 + 79*y**2/5 - 44*y/5 + 1247. Factor f(l).
-2*(l - 11)*(7*l - 2)/5
Determine z, given that 4*z**3 + 0*z**4 + 0 - 2/5*z**5 + 0*z**2 - 18/5*z = 0.
-3, -1, 0, 1, 3
Let i(l) = l**2 + 18*l + 34. Let o be i(-10). Let n = o + 50. Factor 3*c**n - c**3 + 9*c**2 - 7*c**2 + 9*c**3 - c**3.
c**2*(c + 2)*(3*c + 1)
Let g(a) = 4 - 4*a + 11 - 19. Let n be g(-3). Let -n*l**4 + 4 - 8*l**3 - 526*l**2 + 530*l**2 + 10*l + l**5 - 3*l**5 = 0. Calculate l.
-2, -1, 1
Let i(t) = -91*t**2 + 1. Let b(m) = -261*m**2 + 3896*m - 1297. Let g(d) = -b(d) + 3*i(d). Factor g(h).
-4*(h + 325)*(3*h - 1)
Let x(h) be the second derivative of 0*h**5 + 0 + 7/36*h**4 + 0*h**2 - 1/90*h**6 - 29*h + 1/3*h**3. Factor x(v).
-v*(v - 3)*(v + 1)*(v + 2)/3
Let n = 473 - 431. Let k be (-1)/(-2 - (-96)/n) + 4. Suppose 0*a**2 + 1/4*a**4 - 1/2*a**3 + k*a - 1/4 = 0. What is a?
-1, 1
Let p = -5955/2 + 3002. Let y(k) be the second derivative of -84/5*k**5 + 24*k**2 + 72*k**3 - 11*k - 147/2*k**6 + 86*k**4 + p*k**7 + 0. Factor y(m).
3*(m - 2)*(m - 1)*(7*m + 2)**3
Let u(q) be the first derivative of -q**3/21 + 237*q**2/14 - 702*q/7 + 3301. Find w such that u(w) = 0.
3, 234
Let u = 41286 - 41283. Factor 7/4*s**2 + 0 + 1/2*s - 5/4*s**u - s**4.
-s*(s - 1)*(s + 2)*(4*s + 1)/4
Let v be (-15)/6*(-54)/5. Factor 22 - 6*k**2 + 11 + 39 - v*k + 15*k**3 - 3*k**4 - 33*k.
-3*(k - 3)*(k - 2)**2*(k + 2)
Let h(a) = -22*a**3 + a**2 + 3*a + 3. Let r(y) = -y + 11. Let z be r(13). Let j be h(z). Solve j*b**5 - 3*b**4 - 362*b**5 + 182*b**5 = 0 for b.
-1, 0
Let u(o) = o**3 - 4*o**2 + 4*o - 18. Let n be u(4). Let k(p) = 2*p**2 + 23*p + 6. Let b(d) = -d**2 - 11*d - 4. Let q(i) = n*k(i) - 5*b(i). Factor q(t).
(t + 1)*(t + 8)
Let d(p) = -7 - 37*p - p**3 + 0*p**3 - 3*p**3 - 2*p**3 - 36*p**2. Let h(i) = 2*i**3 + 12*i**2 + 12*i + 2. Let o(r) = -6*d(r) - 17*h(r). Factor o(c).
2*(c + 1)**2*(c + 4)
Let q(d) be the first derivative of -3*d**4/20 + 7*d**3/5 - 21*d**2/5 + 24*d/5 + 383. Determine p so that q(p) = 0.
1, 2, 4
Let n(u) = u**3 - 8*u**2 + u - 1. Let v be n(8). Suppose -19*f**4 - 6*f**5 + 5*f**5 - 9*f**3 + v*f**4 - 2*f**5 = 0. Calculate f.
-3, -1, 0
Let d(u) = u**2 + 2*u. Let z(g) be the second derivative of 5*g**4/6 + 4*g**3 + 4*g**2 - 4*g + 10. Let l(c) = -44*d(c) + 4*z(c). Factor l(t).
-4*(t - 4)*(t + 2)
Let a be (((-40)/75)/((-484)/66))/((-4)/(-10)). Determine f so that -a*f**2 - 256/11*f - 8192/11 = 0.
-64
Let p = -2/751759 - -3007054/6765831. Factor 0*s + p*s**4 - 4/3*s**3 + 0 + 8/9*s**2.
4*s**2*(s - 2)*(s - 1)/9
Let t(p) = p**4 + p**2 - 1. Let c(d) = -34 - 2*d**3 + d**4 - 10*d**3 - d**2 + 48*d - 4*d**2. Let u(r) = -c(r) - 2*t(r). What is m in u(m) = 0?
-2, 1, 2, 3
Solve 2*a**2 - 7*a**2 -