(i + 48)**2
Let i = -2/10889 - -43566/54445. Let -1/5*k - 9/5*k**3 + 6/5*k**2 + 0 + i*k**4 = 0. What is k?
0, 1/4, 1
Let v(l) = -l**3 + 4*l**2 + 5*l - 3. Let u be v(-3). Let f be u*-5*(-1)/15. Factor 0*d**4 - 3 - 30*d**3 - 30*d**2 - f*d - 3*d**5 - 4*d**4 - 5*d**4 - 6*d**4.
-3*(d + 1)**5
Let d(x) be the third derivative of 0*x + 0*x**3 + 5/6*x**4 - 1/12*x**5 + 10*x**2 + 0. Factor d(r).
-5*r*(r - 4)
Suppose -15*r - 18*r + 330 = 0. Factor 88*w**2 - r - 23*w + 104*w**2 - 5*w**3 - 172*w**2 + 2*w**3.
-(w - 5)*(w - 2)*(3*w + 1)
Let f(i) be the second derivative of i**7/3360 - i**6/160 - 8*i**3/3 - i**2/2 - 44*i. Let s(c) be the second derivative of f(c). Factor s(a).
a**2*(a - 9)/4
Let z(j) be the first derivative of j**3/3 + 426*j**2 + 1700*j + 2487. Determine n so that z(n) = 0.
-850, -2
Solve -183/5 - 363/5*b - 177/5*b**2 + 3/5*b**3 = 0.
-1, 61
Suppose 3*d - 20 = -4*o + 4*d, 0 = -2*d - 8. Let r be (-220)/(-104) + (-6)/o - 0. Factor 0 - r*c**4 + 0*c + 2/13*c**3 + 0*c**2.
-2*c**3*(4*c - 1)/13
Let j = -19 - -22. Suppose -5*m + 12 = -k, m - j*m + 12 = -4*k. Find i, given that 9*i**3 - 25*i**2 + 29*i**m + 4*i**4 - i**3 = 0.
-1, 0
Find m such that 30*m + 1/2*m**5 + 0 - 76*m**2 - 17*m**4 + 125/2*m**3 = 0.
0, 1, 2, 30
Let m(f) be the second derivative of -f**6/270 - f**5/45 - 14*f**3/3 + 3*f. Let i(v) be the second derivative of m(v). Factor i(p).
-4*p*(p + 2)/3
Suppose 697*a = 695*a + 24. Factor a*z**4 - 30*z**4 + 2*z**4 + 11*z**4 + 10*z**3.
-5*z**3*(z - 2)
Let i(a) = 2*a**4 + 9*a**3 + 21*a**2 - a - 31. Let h(d) = -3*d**4 - 14*d**3 - 32*d**2 + 2*d + 47. Let x = 304 + -309. Let w(n) = x*h(n) - 7*i(n). Factor w(v).
(v - 1)*(v + 2)*(v + 3)**2
Let d(w) be the first derivative of w**4/84 + 3*w**3/14 + w**2 + 113*w - 196. Let h(o) be the first derivative of d(o). Factor h(n).
(n + 2)*(n + 7)/7
Determine n, given that 331/5*n + 332/5 - 1/5*n**2 = 0.
-1, 332
Let h(a) = -a + 48. Let b(x) = x**2 - 154*x + 160. Let r(z) = -b(z) - 10*h(z). Factor r(j).
-(j - 160)*(j - 4)
Let o = 1087 + -1083. Let g(v) be the second derivative of 4/15*v**6 + 0 - 15*v - 2/3*v**o + 0*v**2 + 2/21*v**7 - 2/3*v**3 + 0*v**5. Factor g(y).
4*y*(y - 1)*(y + 1)**3
Suppose -2*g + 14 = 2*t, -t + 17 = -g + 18. Let i be -2 + 5 - (t - 32/28). Factor 2/7*p**2 + i + 8/7*p.
2*(p + 2)**2/7
Suppose -3*q - 15 = 3*b - 6*b, 4*q + 5 = -b. Suppose b*a - 5 = -2*f + f, 0 = -3*f + 4*a + 2. Find m, given that -42*m**2 + 20*m**f + 6 - 4*m + 20*m**2 = 0.
-3, 1
Let v(p) be the first derivative of p**4/4 - 8*p**3 + 2422. Solve v(c) = 0.
0, 24
Let g(z) be the first derivative of -10*z - 2 + 25/4*z**4 + 35/2*z**2 - z**5 - 15*z**3. Factor g(l).
-5*(l - 2)*(l - 1)**3
Let w(o) be the second derivative of o**4/2 - 105*o**3/2 + 78*o**2 + 1690*o. Determine c so that w(c) = 0.
1/2, 52
Let n(i) = 2*i**3 - 28*i**2 + 5*i - 68. Let t be n(14). Let g be (3 - 0) + 235/(-55) + t. Find p, given that -8/11*p + g - 2/11*p**2 + 2/11*p**3 = 0.
-2, 1, 2
Let c(m) = 3*m**2 - m + 6. Suppose -33 = 3*v - 6*v. Let b(z) = 2*z + z - 17 - 9*z**2 + z**2. Let w(h) = v*c(h) + 4*b(h). Factor w(x).
(x - 1)*(x + 2)
Let h = 131 - 137. Let l be 10/(2/(-2))*3/h. Factor 6*y**4 + 4*y**3 - 5*y**3 - 2 + 2*y**l - 4*y**2 + 5*y**3 - 6*y.
2*(y - 1)*(y + 1)**4
Let s(h) be the second derivative of 3*h**5/70 + 23*h**4/42 + 2*h**3/3 - 1816*h. Find p such that s(p) = 0.
-7, -2/3, 0
Let p(q) be the first derivative of 2*q**3 + 4*q**2 - 4 - 15*q - 1/5*q**5 + 0*q**4. Let s(m) be the first derivative of p(m). Suppose s(i) = 0. What is i?
-1, 2
Let g(l) be the third derivative of -7*l**6/240 - 19*l**5/80 + 3*l**4/8 - 11*l**3/6 + 37*l**2 + 2*l. Let j(r) be the first derivative of g(r). Factor j(i).
-3*(i + 3)*(7*i - 2)/2
Let v = -244442 - -244447. What is u in 72/7*u**3 - 4/7*u**v + 16/7*u**4 + 80/7*u**2 + 4*u + 0 = 0?
-1, 0, 7
Suppose 0 = g + 47 - 68. Factor -10*h**2 - 18*h - 18 - 3*h**3 - g*h + 4*h**2 - 18*h**2.
-3*(h + 1)**2*(h + 6)
Let g(r) = -r**2 - 8*r - 10. Let k be (-26)/6 - (13 + 111/(-9)). Let q be g(k). Let 2/7*a**q + 0*a**3 + 4/7*a**2 - 4/7*a**4 + 0 - 2/7*a = 0. Calculate a.
-1, 0, 1
Solve 620498/3 + 1/6*r**2 - 1114/3*r = 0 for r.
1114
Let z(v) = -4*v**2 - 9402*v - 5513114. Let w(h) = 4*h**2 + 9400*h + 5513112. Let x(j) = 5*w(j) + 4*z(j). Factor x(d).
4*(d + 1174)**2
Let f(z) be the second derivative of z**6/30 + 6*z**5/5 + 11*z**4/6 - 4*z**3 - 23*z**2/2 + 94*z + 5. Factor f(v).
(v - 1)*(v + 1)**2*(v + 23)
Suppose -136*c = -140*c - 2*k + 54, 272 = 16*k. Solve 0 + 0*b**2 - b**4 + 0*b**3 - 1/4*b**c + 0*b = 0 for b.
-4, 0
Suppose -39*d + 37*d = 12. Let l(x) = -2*x**2 - 35*x - 138. Let t be l(d). Factor 0*g**2 - 1/9*g**4 + t*g + 0 + 1/3*g**3.
-g**3*(g - 3)/9
Factor -2816/7*g + 991232/7 + 2/7*g**2.
2*(g - 704)**2/7
Let a = -43 - -48. Find r, given that -4*r**2 + 18*r**4 + 6*r**5 - 5 + 14*r**3 - 34*r**4 + a = 0.
0, 2/3, 1
Suppose 62 = -4*g - 2*m, 5*g - 21*m + 85 = -22*m. Let i(p) = 45*p + 810. Let r be i(g). Factor r - 3/2*a + 1/4*a**4 + 13/4*a**2 - 2*a**3.
a*(a - 6)*(a - 1)**2/4
Let l(m) be the second derivative of -2/5*m**5 + 32/3*m**3 + 1/3*m**6 - 1/21*m**7 - 8/3*m**4 - 16*m**2 + 88*m + 0. Factor l(g).
-2*(g - 2)**3*(g - 1)*(g + 2)
Suppose -5*v + 27 = 2*w, -2*w - 9 = -3*v - 5*w. Factor -3*k**3 + 12*k**2 - 14*k**2 + 0*k**2 + 27*k - 15 - v*k**2.
-3*(k - 1)**2*(k + 5)
Let w(s) be the third derivative of -1/105*s**7 + 27*s**2 + 1 + 2/15*s**5 + 1/60*s**6 + 1/3*s**3 + 0*s - 1/336*s**8 + 7/24*s**4. What is f in w(f) = 0?
-1, 2
Factor 140*l**3 - 290293*l**2 + 288928*l**2 + 2250*l - 14*l**3 + 0*l**4 - 3*l**4.
-3*l*(l - 25)*(l - 15)*(l - 2)
Solve 2/3*g**4 + 0 - 16*g**3 - 256/3*g - 224/3*g**2 + 1/3*g**5 = 0 for g.
-4, -2, 0, 8
Factor 32/3*s**3 - 650/3 + 1734*s - 3472*s**2.
2*(s - 325)*(4*s - 1)**2/3
Let f(t) be the second derivative of -t**6/30 + 31*t**5/20 - 23*t**4 + 238*t**3/3 + 392*t**2 - 2290*t. Factor f(a).
-(a - 14)**2*(a - 4)*(a + 1)
Let t = 1335 - 1333. Let z be 7/t*6/14. What is y in -3*y - z*y**2 + 12 = 0?
-4, 2
Let t(y) be the third derivative of 1/945*y**7 - 1/60*y**6 + 159*y**2 - 11/27*y**4 + 0*y + 1/9*y**5 + 8/9*y**3 + 0. Suppose t(x) = 0. Calculate x.
2, 3
Let l(m) be the third derivative of -1/5*m**6 - 1 - 4/5*m**5 - 2*m**3 - 2/105*m**7 - 5/3*m**4 + 0*m - 18*m**2. Factor l(f).
-4*(f + 1)**3*(f + 3)
Let x be (72/(-9) - 1)*1. Let g be 35/(-21)*x/12. Factor 5/4*j**3 + 0 + 0*j**2 - g*j.
5*j*(j - 1)*(j + 1)/4
Let z = 113 + -130. Let t(f) = -6*f**3 + 55*f**2 + 23*f - 72. Let n(d) = 2*d**3 - 18*d**2 - 8*d + 24. Let w(s) = z*n(s) - 6*t(s). Factor w(k).
2*(k - 12)*(k - 1)*(k + 1)
Suppose 0 = 4*n - 2*i - 44, -n + 2 = -3*i - 4. Find x, given that -111*x + x**3 + 9*x**2 - n*x**2 + 58*x + 53*x = 0.
0, 3
Suppose 1/6*l**2 - 126*l + 23814 = 0. What is l?
378
Suppose -8/3 - 4/3*k**2 - 4*k = 0. What is k?
-2, -1
Let v(q) = 52*q**3 + 52*q**2 - 448*q - 624. Let n(b) = 8*b**3 + 8*b**2 - 69*b - 96. Let c(f) = 32*n(f) - 5*v(f). Solve c(u) = 0 for u.
-2, 3
Let w be 5/((-550)/40 + 15). Let j(d) be the first derivative of 93/8*d**w + d**2 + 7/5*d**5 - 49/4*d**6 + 0*d - 32 + 6*d**3. Determine o so that j(o) = 0.
-1/3, -2/7, 0, 1
Let s(r) = r**2 + 13*r - 30. Let k be s(-16). Factor c**2 - 3*c**2 - 72*c + k - c**2 + 87*c.
-3*(c - 6)*(c + 1)
Let s(f) be the first derivative of -3*f**5/5 - 3*f**4/4 + 4*f**3 + 6*f**2 - 1320. Factor s(i).
-3*i*(i - 2)*(i + 1)*(i + 2)
Let m be 6/12*-2 + 2. Suppose 76*q**3 - 32*q - 6*q**2 - m - 7 - 16 - 74*q**3 = 0. What is q?
-2, -1, 6
Let q(m) = 5*m**3 - 8*m**2 - 31*m + 21. Let v(t) = t**3 - t**2 + 5*t - 1. Let h(n) = q(n) - 3*v(n). Determine z so that h(z) = 0.
-4, 1/2, 6
Let m be (-8)/(-64)*1/(5/440) - 6835/(-7). Factor -7200/7*v - 291/7*v**2 - m - 3/7*v**3.
-3*(v + 1)*(v + 48)**2/7
Let u = 37 + -3. Suppose 3*h = -u + 166. Factor -44*m**2 + 16*m**2 + h*m**3 - 12*m + 12*m**4 - 16*m**3.
4*m*(m - 1)*(m + 3)*(3*m + 1)
Suppose 510*r - 126*r = 0. Let -1/5*v**5 + 1/5*v**4 + 3/5*v**3 + r + 2/5*v - v**2 = 0. What is v?
-2, 0, 1
Let k = 5357381/7 + -765323. Factor -250/7 + 2/7*h**4 + 4*h**3 + 100/7*h + k*h**2.
2*(h - 1)*(h + 5)**3/7
Let d(i) be the second derivative of -i**5/20 - 13*i**4/12 - 25*i**3/3 - 28*i**2 + 2843*i. Suppose d(n) = 0. Calculate n.
-7, -4, -2
Let s(v) = v - 3 + 0*v + 2. Suppose -5*z - 334 = -35*z - 1234. Let g(i) = i**4 - 3*i**3 + 6*i - 6. 