 d(o) = 0.
-1, 21
Let m = 26 + -8. Let u = 20 - m. Let -48*x**2 + 79*x - 28*x - 11 - 3 + 9*x**3 + u = 0. What is x?
1/3, 1, 4
Suppose -2*q = 4*w - 16, 4*q - 3 = w + 11. Factor -1/2*s**5 + 0*s**w + 0 + 0*s - 1/2*s**3 + s**4.
-s**3*(s - 1)**2/2
Determine k so that -6*k - 70/3*k**2 + 1/2*k**5 - 101/6*k**3 - 7/3*k**4 + 0 = 0.
-2, -1/3, 0, 9
Let a = 8 - 84/11. Factor -10/11*j**3 + a - 2/11*j - 16/11*j**2.
-2*(j + 1)**2*(5*j - 2)/11
Let -5*n**2 + 1/2*n**3 + 17/2*n + 14 = 0. What is n?
-1, 4, 7
Let n(f) be the first derivative of -2*f - 24 + 3*f**2 + 1/2*f**4 - 2*f**3. Factor n(p).
2*(p - 1)**3
Let l(g) be the first derivative of -2/21*g**3 - 1/14*g**4 + 22 + 2/7*g + 1/7*g**2. Determine z so that l(z) = 0.
-1, 1
Let u be 7/((-168)/54)*((-273)/(-99) + -3). What is c in -2/11 - 6/11*c - 2/11*c**3 - u*c**2 = 0?
-1
Let v = 6049 + -42337/7. Let 12/7 - 6/7*i**2 - v*i = 0. What is i?
-2, 1
Let r be -1 + -2 - (-9 - (-4 - -1)). Factor 0*m + 2/5*m**4 + 0*m**2 + 2/5*m**5 + 0 + 0*m**r.
2*m**4*(m + 1)/5
Let r(x) be the first derivative of -x**8/84 + x**6/10 - 2*x**5/15 - 15*x**2/2 + 13. Let l(s) be the second derivative of r(s). What is v in l(v) = 0?
-2, 0, 1
Let n(i) be the second derivative of -4*i**6/75 + 122*i**5/25 + 247*i**4/30 + 62*i**3/15 + 302*i. Factor n(h).
-2*h*(h - 62)*(2*h + 1)**2/5
Let g(q) be the third derivative of q**6/200 + 19*q**5/100 - 11*q**4/5 + 46*q**3/5 + 2*q**2 - 132. Solve g(t) = 0 for t.
-23, 2
Find u, given that 432/5*u**3 + 0*u**2 + 72/5*u**4 + 0*u + 0 + 3/5*u**5 = 0.
-12, 0
Let r = 399911108 + -1876382901149/4692. Let k = r + 2/1173. What is j in -3*j**2 + k*j - 3/2 + 3/4*j**3 = 0?
1, 2
Suppose 10 = 22*m - 20*m. Let r be (-1 + 7)/(m/(-10)*-8). Factor r*d**4 + 3*d**3 - 3/2 - 3*d + 0*d**2.
3*(d - 1)*(d + 1)**3/2
Let u = -63 - -65. Solve 6*p - u*p**3 - 4*p - 4 + 4 - 2*p**2 + 2 = 0.
-1, 1
Let b(q) be the second derivative of -q**4/72 + 23*q**3/36 + 2*q**2 - 164*q. Factor b(v).
-(v - 24)*(v + 1)/6
Let d be (-5)/(-25) + (-28)/(-10). Suppose -2*l = 3*i, -10*l + 7*l - i = 0. Determine k so that 0 + l*k + 1/2*k**5 + 0*k**2 - 1/2*k**4 + 0*k**d = 0.
0, 1
Factor -5*q**3 - 2*q + 70*q - 72*q**2 - 2*q**4 - 22 + 19*q**3 + 14*q**3.
-2*(q - 11)*(q - 1)**3
Let j = 24 + -16. Factor 16 + 56*h**2 - 118*h**2 - j*h + 63*h**2.
(h - 4)**2
Let 8*n**2 - 88 - 32 + 1503*n**3 - 1507*n**3 + 116*n = 0. What is n?
-5, 1, 6
Let v(h) = -2*h + 1. Let t be v(11). Let f be ((-7)/t)/(-3 + 4). Suppose 0 + 0*q - 1/3*q**4 + 2/3*q**2 + f*q**3 = 0. What is q?
-1, 0, 2
Suppose 7*i - 2*i = -2*r + 8, -4*r = 2*i - 16. Let u(k) be the second derivative of 0 - 1/6*k**r + 2/3*k**3 + 5*k + 3*k**2. Suppose u(c) = 0. What is c?
-1, 3
Let x = -10251 + 10253. Suppose 2/17*p**4 + 0*p + 6/17*p**x + 0 + 8/17*p**3 = 0. Calculate p.
-3, -1, 0
Let h(i) be the first derivative of -i**7/98 + i**6/35 - i**4/14 + i**3/14 + 29*i + 36. Let m(a) be the first derivative of h(a). Factor m(u).
-3*u*(u - 1)**3*(u + 1)/7
Let z(s) = 2*s**3 + 26*s**2 - 63*s + 3. Let d(p) = 3*p**3 + 24*p**2 - 62*p + 2. Let g(y) = 3*d(y) - 2*z(y). Find m, given that g(m) = 0.
-6, 0, 2
Let t(g) be the first derivative of -g**4/20 + g**3/15 + 8*g**2/5 + 4*g + 34. Let t(b) = 0. What is b?
-2, 5
Let f be (-2 + 5)/((-6)/(-14)). Factor 6 + f*o**2 - 6 - 2*o.
o*(7*o - 2)
Let v(g) = -5*g**3 - 58*g**2 - 47*g - 3. Let i(t) = -29*t**3 - 346*t**2 - 283*t - 17. Let p(u) = -6*i(u) + 34*v(u). Factor p(x).
4*x*(x + 1)*(x + 25)
Let u(m) = -7*m**2 + 3*m - 8. Let g(r) = 4*r**2 - 2*r + 5. Let b(i) = -5*g(i) - 3*u(i). Let y(a) = -15*a**2 + 20. Let k(l) = -20*b(l) - y(l). Factor k(w).
-5*w*(w + 4)
Let v(c) be the first derivative of -c**5/40 - c**4/16 + c**3/3 + 9*c**2/8 + 9*c/8 + 79. Factor v(q).
-(q - 3)*(q + 1)**2*(q + 3)/8
Let x(t) = 3*t**2 - 32*t + 23. Let r(o) = 8*o**2 - 4 - 10*o**2 + 19*o + 14*o - 18. Let n(m) = -2*r(m) - 3*x(m). Factor n(j).
-5*(j - 5)*(j - 1)
Solve 4*o**2 + 7509 - 7509 + 36*o = 0 for o.
-9, 0
Let k(f) = f**3 - 2*f**2 - f + 2. Let q(m) = -3*m**3 + 4*m**2 + 2*m - 4. Let w(g) = -7*k(g) - 3*q(g). Let l be w(1). Solve 3/2*o**3 + 0 - 3/2*o**2 - l*o = 0.
-1, 0, 2
Let t(b) be the third derivative of -b**6/60 - 2*b**5/15 + 104*b**2. Factor t(k).
-2*k**2*(k + 4)
Let u(f) be the third derivative of 0*f - 4/3*f**3 + 7/6*f**4 + 0 + 3/5*f**5 + 19*f**2. What is g in u(g) = 0?
-1, 2/9
Let g(f) be the first derivative of -5 - 1/8*f**4 + 1/10*f**5 + 0*f**3 + 0*f - 1/40*f**6 - 1/2*f**2. Let v(b) be the second derivative of g(b). Factor v(z).
-3*z*(z - 1)**2
Let w = -7 - -9. Let x be 3/4 + 6*(-2)/16. Factor o**4 - w*o**4 + 2*o**5 + x*o**5 + 3*o**4.
2*o**4*(o + 1)
Solve 0 - 10*i - 2/11*i**2 = 0.
-55, 0
Factor -16/5 - 14/5*z + 2/5*z**2.
2*(z - 8)*(z + 1)/5
Let g be 108/48 + (6 - 8). Let b(h) be the first derivative of -3/16*h**4 + 9 - 1/8*h**2 + g*h - 5/12*h**3. Factor b(c).
-(c + 1)**2*(3*c - 1)/4
Let s(y) be the third derivative of y**8/224 + y**7/140 - 11*y**6/40 + 11*y**5/10 - 3*y**4/2 + 9*y**2. What is g in s(g) = 0?
-6, 0, 1, 2
Let r(p) be the third derivative of -5/6*p**4 + 2/3*p**3 - 2/5*p**5 - 8*p**2 + 0*p + 0. Let r(t) = 0. Calculate t.
-1, 1/6
Suppose 15*m = 39*m. Determine v, given that 4/3*v**3 - 2*v**5 + 8/3*v**2 + 2/3*v + m - 8/3*v**4 = 0.
-1, -1/3, 0, 1
Solve 24/7 + 4/7*q**2 - 20/7*q = 0.
2, 3
Let b be 0 - (-7)/(7/4). Find c such that 3*c**2 - 3*c**3 - c**3 + 5*c**2 - b*c**4 = 0.
-2, 0, 1
Let x = -104 - -109. Let d be x*((-11)/(-10) + -1). Factor -d - 1/6*a**2 - 2/3*a.
-(a + 1)*(a + 3)/6
Let i(x) be the second derivative of x**6/90 + 7*x**5/15 + 83*x**4/18 - 70*x**3/3 + 75*x**2/2 - 171*x. Factor i(d).
(d - 1)**2*(d + 15)**2/3
Let j(d) = 3*d + 64. Let h be j(-20). Determine s, given that 6*s**2 - 6 - 5*s - s - 27*s**3 + h*s + 29*s**3 = 0.
-3, -1, 1
Suppose -18 = -4*u + 6*k - 5*k, -5*k + 5 = -u. Let v(f) be the first derivative of 1/3*f**3 - 2 + 0*f - 1/5*f**u + 0*f**2 + 0*f**4. Factor v(y).
-y**2*(y - 1)*(y + 1)
Let c(n) = -12*n**3 - 27*n**2 - 13*n - 7. Let r(s) = -49*s**3 - 110*s**2 - 51*s - 29. Let u(t) = 26*c(t) - 6*r(t). Factor u(d).
-2*(d + 1)*(3*d + 2)**2
Let a(n) be the second derivative of -n**6/20 - n**5/20 + n**4/8 + n**3/6 - 11*n + 3. Solve a(m) = 0.
-1, -2/3, 0, 1
Let h = 14910 + -74542/5. Solve 0 + 0*y + h*y**3 + 0*y**2 - 4/5*y**5 - 4/5*y**4 = 0.
-2, 0, 1
Let 201*u**3 + 89*u**2 - 5*u**5 - 292*u**3 + 43*u**2 + 215*u**4 + 73*u**2 - 324*u**3 = 0. What is u?
0, 1, 41
Let s(f) be the second derivative of -2*f**4/3 - f**3 + f**2 + 15*f - 2. Determine u so that s(u) = 0.
-1, 1/4
Solve 64*m**4 - 5*m**5 - 23*m**4 - 30 + 60*m**3 - 55*m - 21*m**4 + 10*m**2 = 0.
-1, 1, 6
Suppose -6*a + 5*a - 4 = 0. Let w = 9 + a. Solve o**4 + 25*o**3 + 4*o**4 - 4*o - 3*o**4 - 2*o**2 - 42*o**w + 21*o**3 = 0.
-1, -2/7, 0, 1/3, 1
Let p = 7 + 0. Let h(c) = -11*c**5 - 7*c**4 + 4*c**3. Let o(i) = 3*i**4 + 52*i**5 + 0*i**4 - 2*i**3 - 47*i**5. Let u(a) = p*o(a) + 3*h(a). Factor u(d).
2*d**3*(d - 1)*(d + 1)
Let r(d) be the second derivative of 3*d**5/20 - 6*d**3 + 24*d**2 + 110*d + 1. Factor r(k).
3*(k - 2)**2*(k + 4)
Let i(f) be the second derivative of 3*f + 0*f**3 - 1 + 0*f**2 - 3/14*f**4 - 3/28*f**5 - 1/70*f**6. Factor i(m).
-3*m**2*(m + 2)*(m + 3)/7
What is d in -4*d + 23*d**3 + 25/2*d**5 + 0 + 75/2*d**4 - 6*d**2 = 0?
-2, -1, -2/5, 0, 2/5
Let t(j) be the first derivative of 2*j**5/35 - j**4/2 - 2*j**3 + 27*j**2/7 - 135. Factor t(g).
2*g*(g - 9)*(g - 1)*(g + 3)/7
Find i, given that 1/3*i**2 + 0 - 22/3*i = 0.
0, 22
Let z(p) be the second derivative of p**7/17640 + p**6/2520 + p**5/840 + 5*p**4/6 + 2*p. Let k(l) be the third derivative of z(l). Factor k(h).
(h + 1)**2/7
Let f(a) be the first derivative of a**6/36 - 2*a**5/15 + a**4/12 + 2*a**3/9 - a**2/4 + 21. Factor f(m).
m*(m - 3)*(m - 1)**2*(m + 1)/6
Let m(c) = -7*c**4 + 6*c**3 + 13*c**2 - 5*c - 5. Let y(h) = -3*h**4 + 3*h**3 + 6*h**2 - 2*h - 2. Let p(g) = -2*m(g) + 5*y(g). Factor p(q).
-q**2*(q - 4)*(q + 1)
Let q(j) be the third derivative of j**5/150 + j**4/6 + 8*j**3/5 - 224*j**2. Factor q(h).
2*(h + 4)*(h + 6)/5
Let o(f) be the third derivative of f**6/480 + f**5/12 - 121*f**4/96 + 25*f**3/6 - 589*f**2. Determine m so that o(m) = 0.
-25, 1, 4
Suppose 3*a - 7*a = -u + 14, -5*a = -u + 18. Let h = u - -6. Factor -1 - 4*p**4 - 4*p**4 + 2*p**2 + 0 + 7*p**h.
-(p - 1)**2*(p + 1)**2
Let t = 21879/2