 - 11*q**2 - 7*q**3 + 104*q**2 + 21*q**3 - 560.
2*(q - 2)*(q + 70)*(7*q + 2)
Factor 6*o**3 + 504/5*o + 72/5 - 266/5*o**2.
2*(o - 6)*(o - 3)*(15*o + 2)/5
Let z(r) be the third derivative of -3*r**6/2 + 254*r**5 + 5095*r**4/24 + 425*r**3/6 - 703*r**2 - r + 1. Factor z(x).
-5*(x - 85)*(6*x + 1)**2
Solve 262*i**3 + 80 - 248*i - 56*i**4 - 40*i**2 - 5*i**5 + 172*i**4 - 9*i**5 - 28*i**2 - 128*i**2 = 0.
-2, -1, 2/7, 1, 10
Factor -30*r**4 + 110*r**4 + 16*r**3 - r**2 - 79*r**4 - 16*r.
r*(r - 1)*(r + 1)*(r + 16)
What is p in 12*p + 2*p**5 + 21*p**5 - 40*p**4 - 59*p**5 + 40*p**2 + 12*p**5 + 12*p**5 = 0?
-3, -1, -1/3, 0, 1
Let f = 9 - 4. Let n be (-126)/(-35) + 2/f. Let -30*w**3 - 133*w**n + 246*w**4 - 28*w**2 - 8*w - 122*w**4 = 0. Calculate w.
-2, -2/3, 0
Let h(u) = -94*u**3 - 1060*u**2 - 3103*u - 2053. Let i(n) = 41*n**3 + 530*n**2 + 1552*n + 1027. Let c(b) = -3*h(b) - 7*i(b). Factor c(k).
-5*(k + 1)*(k + 2)*(k + 103)
Suppose 6*y - 31 = -7. Suppose -f - y = -6. Factor -k**f + 4*k**3 - 246 + 250 - 5*k**2 + 2*k**2 - 4*k.
4*(k - 1)**2*(k + 1)
Let x(v) = -v**2 + 7522*v + 37644. Let y be x(-5). Suppose y*c - 3/4*c**2 + 39/4 = 0. What is c?
-1, 13
Let 3/7*u**2 + 4842/7*u + 1953747/7 = 0. Calculate u.
-807
Let u(r) be the third derivative of r**7/210 - 13*r**6/30 + 44*r**5/3 - 200*r**4 + 1775*r**2. Determine v so that u(v) = 0.
0, 12, 20
Let r = 577 + -577. Suppose r = -4*a - v + 16, -24 = -5*a - 4*v + 7. Factor -1/5*h**a + 1/5*h**5 + 2/5*h**2 + 0 - 2/5*h**4 + 0*h.
h**2*(h - 2)*(h - 1)*(h + 1)/5
Let f be (58 + -51 + (5 - 12))/(-1 - 4). Factor -1/9*g**3 + 1/9*g + 0*g**2 + f.
-g*(g - 1)*(g + 1)/9
Suppose 2*u - 6 = -2*y, -8 = -u - 2*y + 6*y. Factor -12*p**3 - 4*p**5 + 16*p + 6*p**5 - u*p**5 - 17*p**4 + 8*p**2 + 7*p**4.
-2*p*(p - 1)*(p + 2)**3
Let b(l) = -l**2 + 2*l. Let q(j) = 5850*j + 0*j**2 - 5778*j + 6*j**2. Let i(x) = -2*b(x) - q(x). Suppose i(u) = 0. What is u?
-19, 0
Let o(f) = -18*f**4 - 1410*f**3 - 4320*f**2 - 4482*f - 1455. Let v(m) = -m**4 - 88*m**3 - 270*m**2 - 280*m - 91. Let b(s) = -2*o(s) + 33*v(s). Factor b(p).
3*(p - 31)*(p + 1)**3
Let l(u) = -4*u + 9. Let c(q) = 5*q - 10. Let s(t) = 5*c(t) + 6*l(t). Let k be s(-2). Factor a**k - 3*a**3 - 10*a**5 + 11*a**5 - 2*a**5 - 2*a**2 - 3*a**4.
-a**2*(a + 1)**3
Let u = 865 - 1513. Let a be (((-2)/(-3))/(-2))/(24/u). Factor a*b**2 - 2 - 10 - 79*b**3 + 76*b**3.
-3*(b - 2)**2*(b + 1)
Let l(w) = w - 8. Let s be l(10). Let i(f) = 2*f**4 - 13*f**3 - f**2 + 13*f - 6. Let y(m) = -m**3 - m**2 + m. Let v(x) = s*i(x) - 10*y(x). Factor v(z).
4*(z - 3)*(z - 1)**2*(z + 1)
Let z(p) = p**3 + 5*p**2 + 5*p + 6. Let m be z(-4). Let n be (-9)/(81/6)*-3. Factor m*k**2 - 13*k - 2*k**2 + 14*k - n*k**3 + k**5.
k*(k - 1)**2*(k + 1)**2
Let z(o) = -3 + 22 + 36 + 11*o**3 + 4*o**3 + 120*o + 65*o**2. Let r(k) = -13*k**3 - 65*k**2 - 119*k - 55. Let l(g) = -5*r(g) - 4*z(g). Factor l(c).
5*(c + 1)**2*(c + 11)
Suppose 0 = -4*z - 4 + 12. Suppose 0 = o - z*v - 0*v - 2, 0 = -4*o - 4*v + 44. What is b in -o*b**4 + 4*b**3 + 4*b**5 + 45*b**2 - 45*b**2 = 0?
0, 1
Let l(b) = 3*b + 33. Let z be l(-10). Find p, given that -13*p**2 - 7*p**2 + 3*p**z - 10 + 2*p**3 + 25*p = 0.
1, 2
Let t(v) be the first derivative of -v**4/26 + 112*v**3/39 - 699*v**2/13 - 1512*v/13 - 1914. Solve t(r) = 0.
-1, 21, 36
Factor -5547/4 + 3/8*c**3 - 33*c**2 + 6063/8*c.
3*(c - 43)**2*(c - 2)/8
Find c, given that 13*c**3 + 42 - 80*c**3 - 52*c**2 + 65*c + 1253397*c**4 + 2*c**5 - 1253358*c**4 - 66*c**2 + 37*c**2 = 0.
-21, -1, -1/2, 1, 2
Let p be 4977/14 - (4 - 1). Let h = -351 + p. Factor 3/4*y**4 + 0 - 9/4*y**2 + h*y**3 + 0*y.
3*y**2*(y - 1)*(y + 3)/4
Let u(p) be the second derivative of 1/3*p**4 + 4/5*p**6 + 0 + 26/3*p**3 - 13/5*p**5 - 14*p**2 + 61*p. Factor u(o).
4*(o - 1)**2*(o + 1)*(6*o - 7)
Factor y**2 + 2891 + 85*y + 2876 - 8570 + 2887.
(y + 1)*(y + 84)
Let s be (-162 + 3)*(-33)/(-1089) - -5. Factor -8/11*u**2 - 10/11*u - s*u**3 - 4/11.
-2*(u + 1)**2*(u + 2)/11
Let -4*y**2 - 2/5*y**5 - 16/5*y**4 + 0*y + 38/5*y**3 + 0 = 0. Calculate y.
-10, 0, 1
Let n(b) be the second derivative of 1/60*b**4 + 49 - 6/5*b**2 - 2/15*b**3 - 2*b. Determine t so that n(t) = 0.
-2, 6
Let f(x) be the third derivative of x**5/660 - 175*x**4/88 + 523*x**3/33 + 174*x**2 + 2*x + 2. Factor f(u).
(u - 523)*(u - 2)/11
Let x be (2252/39410)/(1/25). Factor 1/7*v**2 + 11/7*v + x.
(v + 1)*(v + 10)/7
Let y(g) be the second derivative of g**4/12 - 823*g**3/2 + 1234*g**2 + 3688*g. Factor y(i).
(i - 2468)*(i - 1)
Let t = -21 - -24. Let w = 7 - t. Factor w*o**2 - 2*o**2 + 10*o + 2*o**2 - 12 - 2*o**3.
-2*(o - 3)*(o - 1)*(o + 2)
Let n be (0 + 6/(-9))*-6. Suppose 0 = 4*x - 4*w + 3*w - 15, x = 4*w + 15. Factor -16*r + 13*r**3 - 7*r**3 + 6*r**x - 4*r**n.
-4*r*(r - 2)**2*(r + 1)
Suppose 2*v + v - 9 = 0. Suppose 5*m = m - 2*t + 6, v*m - 37 = 5*t. Let 30*x**3 - 31*x**3 - 4*x**m + 3*x**4 = 0. Calculate x.
-1, 0
Let j(n) be the third derivative of 1/20*n**5 + 73*n**2 - 1/120*n**6 + 0 + 2*n - 2*n**3 + 1/6*n**4. Let j(i) = 0. Calculate i.
-2, 2, 3
Let k(l) be the third derivative of 0*l + 0 - 1/6*l**5 - 23/12*l**4 + 54*l**2 + 1/15*l**6 + 2*l**3. Solve k(r) = 0.
-2, 1/4, 3
Suppose 0 = 18*u - 24*u + 18. Factor -4*m**3 + 100 - 33*m**2 - 16*m - 44*m - u*m**2.
-4*(m - 1)*(m + 5)**2
Let p = -225 + 180. Let f be (((-5)/(-3))/(-5))/(p/27). Determine q, given that 3/10*q**3 + 1/5 - 7/10*q + f*q**2 = 0.
-2, 1/3, 1
Let z(y) be the third derivative of 0 + 1/7*y**7 + 37/24*y**6 - 100/3*y**3 + 0*y - 32*y**2 - 15/2*y**4 - 5/336*y**8 + 17/6*y**5. Solve z(r) = 0 for r.
-2, -1, 1, 10
Suppose 261*k - 255 = 164 + 625. Solve 0 + 24/7*s**3 + 0*s + 12/7*s**2 + 9/7*s**k = 0 for s.
-2, -2/3, 0
Let s(c) be the second derivative of c**6/60 + 9*c**5/8 - 239*c**4/12 + 36*c**3 - 8918*c. Find k such that s(k) = 0.
-54, 0, 1, 8
Let r(j) be the second derivative of j**4/28 + 27*j**3/14 + 27*j**2 + 19*j + 11. Factor r(n).
3*(n + 6)*(n + 21)/7
Let k(s) = -s**3 - 13*s**2 + 2*s - 3. Let r be 18/8 - (1 + 21/(-12)). Let v(q) = -2*q**3 - q**2 - q - 1. Let w(o) = r*v(o) - k(o). Factor w(y).
-5*y*(y - 1)**2
Factor 0 + 10400/9*r - 8/9*r**4 + 346/9*r**3 - 4240/9*r**2.
-2*r*(r - 20)**2*(4*r - 13)/9
Let h(b) be the second derivative of 2/105*b**6 + 0*b**2 + 0*b**3 - 3/35*b**5 + 2/21*b**4 - 2*b - 7. Suppose h(x) = 0. Calculate x.
0, 1, 2
Let -357/5*q + 717/5*q**2 + 0 - 363/5*q**3 + 3/5*q**4 = 0. What is q?
0, 1, 119
What is l in 1040*l**2 + 3463*l**3 + 40*l**4 - 770 - 2651*l**3 - 310*l**2 - 811*l - l**5 = 0?
-14, -1, 1, 55
Let d be (-19)/(-3) + (-40)/30. Let u(p) = -2*p**3 - 8*p**2 - 8*p + 8. Let z(f) = 9*f**3 + 33*f**2 + 33*f - 33. Let v(y) = d*z(y) + 21*u(y). Factor v(m).
3*(m - 1)**2*(m + 1)
Let w be 28*(135/(-9) + 2). Let z = w - -364. Factor -2/9*c**3 + 2/9*c + 0 + z*c**2.
-2*c*(c - 1)*(c + 1)/9
Let p(d) = d**3 - d**2 - d + 1. Let b(h) = 4*h**5 + 15*h**4 + 18*h**3 + 16*h**2 + 6*h - 3. Let n be (-16 + 8)*1 - -7. Let l(t) = n*b(t) - 3*p(t). Factor l(q).
-q*(q + 1)**3*(4*q + 3)
Let w be (-2)/(-4)*4 + (-1050)/(-30). Find o such that w*o**2 - 90 + 2*o + 22*o + 35*o**2 - 70*o**2 + 0*o = 0.
-15, 3
Suppose 4*r - 2*d - 36 = 0, r + 33*d - 30*d + 33 = 0. Factor -1/2*i**4 + 3/2*i**r + 0 + 1/2*i - 3/2*i**2.
-i*(i - 1)**3/2
Let t(k) = 5*k**2 - 5594*k + 11170. Let x be t(2). Determine m so that -2 - 17/3*m - 1/3*m**4 - 17/3*m**x - 7/3*m**3 = 0.
-3, -2, -1
Let a(c) be the third derivative of c**5/300 + 491*c**4/20 + 723243*c**3/10 + 3*c**2 - 1475*c. Factor a(j).
(j + 1473)**2/5
Find p, given that 16*p**5 - 20*p + 78680*p**4 + 140*p**2 + 155*p**3 - 79330*p**4 + 359*p**5 = 0.
-2/5, 0, 2/15, 1
Let q(a) be the second derivative of 5*a**7/42 + 43*a**6/6 + 667*a**5/4 + 21905*a**4/12 + 27040*a**3/3 + 21970*a**2 - 4*a + 5. Determine l so that q(l) = 0.
-13, -2
Let p = -343 - -2118. Let j = 1777 - p. Find s such that 21/4*s - 3/4*s**j - 9/2 = 0.
1, 6
Let n(g) be the first derivative of -2*g**3/3 - 53*g**2 + 108*g + 4510. Suppose n(y) = 0. What is y?
-54, 1
Let w(g) = 23*g**2 - 997*g + 1009. Let u(h) = -39*h**2 + 1662*h - 1683. Let o(c) = -7*u(c) - 12*w(c). Let o(i) = 0. What is i?
1, 109
Determine i so that i**3 + 26*i**2 + i**3 + 404*i - 232*i**2 = 0.
0, 2, 101
Let s(q) be the second derivative of q**7/126 + q**6/18 + q**5/60 - 13*q**4/36 - q**3/9 + 4*q**2/3 - 2*q - 26. Let s(u) = 0. Cal