 + 330. Factor -r**4 + 2*r - r**3 - 6*r + 75*r**2 + r - 70*r**s.
-r*(r - 1)**2*(r + 3)
Let z(j) = 39*j**3 - 32*j**2 - 63*j - 10. Let q(m) = -48*m**3 + 32*m**2 + 64*m + 8. Let v(g) = 3*q(g) + 4*z(g). Factor v(k).
4*(k - 4)*(k + 1)*(3*k + 1)
Let c = 936 + -915. Suppose h = c*h. Factor 2/7*m**2 + 2/7*m + h.
2*m*(m + 1)/7
Factor -316*q - 164*q**2 - 93 - 37 - 4*q**3 - 9 - 17.
-4*(q + 1)**2*(q + 39)
Determine l, given that -14964/7*l**2 - 31025539568/7 + 37320216/7*l + 2/7*l**3 = 0.
2494
Let q = -3/63010 + 2521/12602. Solve -169/5 + 533/5*n - 29/5*n**4 + q*n**5 - 586/5*n**2 + 50*n**3 = 0.
1, 13
Let u be ((-104)/(-130))/(-1 - 14/(-10)). Suppose 0*p**5 + 2*p**4 - 6*p - 2*p**5 + 8*p**3 - 19*p**u + 15*p**2 + 2*p**4 = 0. What is p?
-1, 0, 1, 3
Let y(h) = 719*h**3 - 8*h**2 + 5*h - 5. Let t(v) = 716*v**3 - 6*v**2 + 4*v - 4. Let q(a) = 5*t(a) - 4*y(a). Factor q(x).
2*x**2*(352*x + 1)
Let s(o) be the second derivative of -1/12*o**4 + 1/40*o**5 + 14*o - 1/84*o**7 + 0*o**3 + 1/30*o**6 + 0*o**2 - 1. What is m in s(m) = 0?
-1, 0, 1, 2
Let f be (-595)/68 - -1*(5 - (11 - 15)). Factor 0 + 1/4*m**4 + 1/4*m**5 - f*m**3 - 1/4*m**2 + 0*m.
m**2*(m - 1)*(m + 1)**2/4
Suppose 0 = -3*i - 4*c + 13 - 0, -5*c = 3*i - 8. Solve i*t**3 - 2*t**3 + 57882*t**2 + 9*t**5 - 6*t - 21*t**4 - 57873*t**2 = 0.
-2/3, 0, 1
Find w, given that 1860*w**2 + 138*w**4 - 9*w**5 + 783*w**3 - 99 - 76 + 252*w - 65 - 732*w**2 = 0.
-2, -1, 1/3, 20
Suppose -2*x - 5*g = -3*x - 3, 0 = -x + g - 15. Let v be ((-1)/(75/6))/(x/30). Factor 0*k**3 + 0 + 2/15*k**4 + 0*k - v*k**2.
2*k**2*(k - 1)*(k + 1)/15
Let 128*j - 1/4*j**3 - 576 - 5*j**2 = 0. Calculate j.
-36, 8
Let s be (-5)/14*((-81)/(-15) + -9). Solve -6/7 - 3/7*u**4 + s*u**2 - 3/7*u**3 + 3/7*u = 0.
-2, -1, 1
Let j(w) be the second derivative of w**4/48 - 2129*w**3/24 + 14355*w. Find k such that j(k) = 0.
0, 2129
Let f be (32/20)/((-42)/245)*-9. Suppose 2*m**5 - 5*m**5 - 15*m**2 - f*m + 87*m**3 - 12*m**2 - 12*m**2 - 21*m**4 + 12 + 48 = 0. Calculate m.
-10, -1, 1, 2
Let q(i) be the first derivative of -5*i**9/3024 - i**8/336 + i**7/28 + 60*i**3 - 59. Let g(d) be the third derivative of q(d). Solve g(b) = 0.
-3, 0, 2
Let y(r) be the second derivative of r**5/20 + 61*r**4/12 + 460*r**3/3 + 2050*r**2 - 1020*r. Solve y(t) = 0 for t.
-41, -10
Let c be ((-15)/9 - (-4)/6) + 4. Factor -4*f**4 + 3*f**c - f**2 - 7*f**2 - 16*f**3 + f**3.
-4*f**2*(f + 1)*(f + 2)
Suppose 48 - 285*r**4 + 487*r**4 + 14*r**2 - 264*r**4 - 6*r**5 - 158*r**3 + 164*r = 0. What is r?
-6, -4, -1, -1/3, 1
Let q(b) be the third derivative of -7*b**6/30 + 248*b**5/5 + 179*b**4/2 - 428*b**3/3 + 6286*b**2. Solve q(d) = 0 for d.
-1, 2/7, 107
Let c = -23159/5 - -4632. Let s(d) be the second derivative of -2/5*d**6 + 8/21*d**7 - c*d**5 + 0 + 2*d + 0*d**3 + 0*d**4 + 0*d**2. Factor s(a).
4*a**3*(a - 1)*(4*a + 1)
Let h(q) be the first derivative of q**5/15 + 29*q**4/12 - 61*q**3/9 + 31*q**2/6 + 1576. Factor h(g).
g*(g - 1)**2*(g + 31)/3
Let k be (9 + (-186)/18)/((-24)/36). Let f = 12604/1719 - -2/1719. Let -f*b**k + 4/3 + 10/3*b + 8/3*b**3 = 0. Calculate b.
-1/4, 1, 2
Let p(z) be the third derivative of -z**6/120 + z**5/10 - z**4/2 - 37*z**3/6 - 47*z**2. Let k(v) be the first derivative of p(v). Determine r so that k(r) = 0.
2
Let y(w) be the second derivative of -w**5/170 - 18*w**4/17 + 597*w. Suppose y(u) = 0. What is u?
-108, 0
Let q(u) be the third derivative of u**2 + 1/60*u**6 - 1/30*u**5 + 1/105*u**7 + 0*u**3 + 0 + 2*u - 1/12*u**4. Suppose q(h) = 0. Calculate h.
-1, 0, 1
Let f(r) be the third derivative of 9*r**6/200 - 101*r**5/100 + 73*r**4/10 - 6*r**3 + 14*r**2 + 3. Let f(o) = 0. What is o?
2/9, 5, 6
Let o = -22579/10 - -2258. Let v(a) be the first derivative of 0*a + 2 - 1/5*a**2 + 1/15*a**3 - 1/25*a**5 + o*a**4. Factor v(f).
-f*(f - 2)*(f - 1)*(f + 1)/5
Let l(k) be the third derivative of -68*k**2 + 0 + 1/660*k**6 + 0*k**3 + 0*k - 7/330*k**5 + 0*k**4. Factor l(f).
2*f**2*(f - 7)/11
Let s = 19 + -13. Suppose d + 3*r - s - 2 = 0, 4*d + r - 10 = 0. Let 2 + 2*o**3 - 4*o**2 - 2*o + 4*o**d + 2*o**2 - 4*o**2 = 0. What is o?
-1, 1
Let d(j) = 34*j**2 + 2020*j + 2030. Let a(h) = 12*h**2 + 672*h + 676. Let l(w) = 11*a(w) - 4*d(w). Factor l(i).
-4*(i + 1)*(i + 171)
Let i = 4 - -2. Let y be 3 + 87/(-27) - 29/(-9). Determine k, given that -3*k - 8 + k + 6*k**2 - i*k - 2*k**4 + 4*k**y + 0*k = 0.
-1, 2
Let z(h) = h**3 + 6*h**2 + 2. Let v be ((-2)/(-4))/((-8)/96). Let p be z(v). Let 0*d**p - 9 + 2*d - d**2 + 4*d = 0. What is d?
3
Suppose 2*o - 310 = l - 343, -l + 3*o + 48 = 0. Factor -1/3*h**l + 0 - 5/3*h + 2*h**2.
-h*(h - 5)*(h - 1)/3
Let r(b) = -8*b**2 + 36*b - 68. Let d = 63 + -68. Let q(u) = 9*u**2 - 37*u + 69. Let h(m) = d*r(m) - 4*q(m). Factor h(a).
4*(a - 4)**2
Suppose -429 + 2*q**3 - 36 + 717 + 186*q + 40*q**2 = 0. What is q?
-14, -3
Let c be 492/48 + 1/(-4). Suppose -8*b = -9*b + c. Factor 14*d - 3*d**2 + 4*d**3 + 11*d**2 - b*d.
4*d*(d + 1)**2
Let i(c) be the second derivative of c**7/294 + 9*c**6/35 + 291*c**5/35 + 3130*c**4/21 + 1600*c**3 + 72000*c**2/7 + 87*c + 41. Factor i(h).
(h + 10)**3*(h + 12)**2/7
Let c(v) be the third derivative of v**7/105 + 3*v**6/20 + 9*v**5/10 + 31*v**4/12 + 4*v**3 + 378*v**2. Factor c(n).
2*(n + 1)**2*(n + 3)*(n + 4)
Let q(h) = h**4 + h**3 + 2*h**2 + 3*h + 6. Let b(d) = 15*d**3 - 31*d**2 - d + 50. Let l(i) = -b(i) + q(i). Determine r so that l(r) = 0.
-1, 2, 11
Let s(t) be the first derivative of t**7/168 + t**6/8 + 5*t**5/8 + 35*t**4/24 - 71*t**3/3 + 137. Let f(z) be the third derivative of s(z). Factor f(b).
5*(b + 1)**2*(b + 7)
Suppose 54*s - 59*s = 3*q - 5, -3*q - 11 = s. Factor -27/2*n**3 - 15/2*n**2 + 0 - 9/2*n**s + 3/2*n**5 + 0*n.
3*n**2*(n - 5)*(n + 1)**2/2
Factor -76/5*w**4 - 361/5*w**3 - 19808792/5 + 521284/5*w - 1/5*w**5 + 13718*w**2.
-(w - 19)**2*(w + 38)**3/5
Let -248/7 + 42*m**2 - 10/7*m**3 + 72*m = 0. What is m?
-2, 2/5, 31
Let l(r) = 2*r**2 + 23*r + 13. Let a(b) = -4*b**2 - 6*b + 7. Let m be a(-3). Let d be l(m). Find k, given that 3*k**3 + 9*k - 12*k**d + k**3 - k = 0.
0, 1, 2
Let b(w) = 6*w**2 + 21*w + 45. Let m(g) = 5*g**2 + 22*g + 46. Let f = 110 + -113. Let c = 3 - 1. Let t(z) = c*b(z) + f*m(z). Find u such that t(u) = 0.
-4
Factor 13838 - 7098 - 7040 - 412*n - 116*n**2 - 4*n**3.
-4*(n + 1)*(n + 3)*(n + 25)
Let a(x) be the first derivative of -2/5*x**5 - 345 - 56/3*x**3 - 36*x**2 - 32*x - 9/2*x**4. Factor a(q).
-2*(q + 1)*(q + 2)**2*(q + 4)
Let a(p) be the third derivative of 0 + 0*p + 0*p**3 + 1/60*p**5 + 1/12*p**4 - 1/120*p**6 + 70*p**2. Factor a(g).
-g*(g - 2)*(g + 1)
Let x(j) = -j**3 + j**2 - j + 14. Let b be x(0). Suppose 22 = 4*t - b. What is z in -5*z**4 + 5*z - 9*z**2 + 8*z**4 - 12 + 19*z - t*z**3 + 3*z**3 = 0?
-2, 1, 2
Let f(z) be the first derivative of 3*z**4/16 - z**3 - 123*z**2/8 - 27*z - 1382. Factor f(y).
3*(y - 9)*(y + 1)*(y + 4)/4
Let g(z) be the third derivative of z**6/60 - 3*z**5/2 - 4*z**4 + 92*z**3/3 - 2*z**2 - 159*z. Factor g(y).
2*(y - 46)*(y - 1)*(y + 2)
Suppose -8*f + 6*f + 4 = 0. Let p(c) = -14*c**3 + 7*c**2 - 13*c - 5. Let m(n) = 6*n**3 - 4*n**2 + 6*n + 2. Let g(r) = f*p(r) + 5*m(r). Factor g(o).
2*o*(o - 2)*(o - 1)
Suppose 798630 - 3466377 - 194839*p**2 + 5658*p + 194836*p**2 = 0. Calculate p.
943
Factor 47/2 + 1/4*r**2 + 49/4*r.
(r + 2)*(r + 47)/4
Let j be (20/12)/(3 - 157/54). Let j*k**4 + 35*k**3 + 429 + 3*k**5 + 18*k**2 - 2*k**3 - 429 = 0. Calculate k.
-3, -2, -1, 0
Let d(b) be the third derivative of 13/24*b**5 - 11*b + 0*b**3 - b**2 + 5/24*b**4 + 0 + 7/16*b**6. Factor d(r).
5*r*(3*r + 1)*(7*r + 2)/2
Let c(l) be the third derivative of 0*l + 1/210*l**5 + 0 + 1/6*l**4 - 32/21*l**3 + 64*l**2. Let c(w) = 0. What is w?
-16, 2
Let y(z) = 8*z + 42. Let d = 138 + -143. Let j be y(d). Factor -1/4*t**3 - 3/4*t + 3/4*t**j + 1/4.
-(t - 1)**3/4
Let q(a) = 15*a**2 - 12*a - 3. Suppose 5*k + 3*d + 17 = 0, 4*d + 14 = k + k. Let b(x) = x**2 - 1. Let z(t) = k*q(t) + 18*b(t). Let z(v) = 0. Calculate v.
-5, 1
Determine o so that -10 - 37/3*o + 1/3*o**3 - 2*o**2 = 0.
-3, -1, 10
Determine s so that 7*s**4 + 18*s**4 + 1400*s**3 - 901*s**2 + 352*s - 505*s**2 - 17*s**4 = 0.
-176, 0, 1/2
Let g(l) be the third derivative of 0*l**4 + 1/42*l**7 + 0*l**5 + 1/8*l**6 + 0*l + 0 + 14*l**2 + 0*l**3. Find y such that g(y) = 0.
-3, 0
Determine x so th