- 29*y**4 + 22*y**3 - 2*y**2 - 33*y + 31. Let w(z) = 8*h(z) - 3*k(z). Factor w(s).
-(s - 5)*(s - 1)**3*(s + 1)
Let k(n) = n**3 - n**2. Let t(w) = -15*w**3 + 260*w**2 - 245*w. Let l(s) = 10*k(s) + t(s). Solve l(f) = 0.
0, 1, 49
Find z, given that -2/9*z**2 - 64/9 + 8/3*z = 0.
4, 8
Let m(z) = z**4 + z**3 + z**2 - z + 1. Let c(q) = -9*q**4 + q**3 - 14*q**2 - 8*q - 8. Let x(g) = 3*c(g) + 24*m(g). What is d in x(d) = 0?
-1, 0, 2, 8
Let o = -1/19 - -423/95. Factor -6*a**2 - 4/5 + o*a.
-2*(3*a - 1)*(5*a - 2)/5
Let h(r) be the third derivative of -r**5/12 - 85*r**4/24 + 95*r**3/3 + 36*r**2 - 3*r. Factor h(m).
-5*(m - 2)*(m + 19)
Let i = -4281 + 21407/5. What is y in -2*y - i*y**3 + 4/5 + 8/5*y**2 = 0?
1, 2
Let o be (20/14 - 2)*-7. Let p(t) be the second derivative of 0 + o*t**2 - 2/3*t**4 + 2/3*t**3 - 6*t - 1/5*t**5. Solve p(n) = 0.
-2, -1, 1
Let t be 4720/785 + -2*3. Let q = t - -6894/1099. Suppose -q*v**2 + 52/7*v - 8/7 = 0. Calculate v.
2/11, 1
Suppose 2*z + 60 = 8*z. Suppose -3*d = y - z, 3*d - 22 = 4*y - 2. Suppose 8*p**5 + 0*p**3 + 2*p**2 - 5*p**5 - 4*p**d - 5*p**3 = 0. Calculate p.
-1, 0, 1/3, 2
Let o(n) be the third derivative of -n**9/151200 + n**8/16800 + n**5/12 + 15*n**2. Let u(w) be the third derivative of o(w). Factor u(c).
-2*c**2*(c - 3)/5
Let w = 13 - 10. Let q be 1/w - 25/(-15). Factor -10*v**2 + v**2 + v + 6*v**2 + q*v**2.
-v*(v - 1)
Let z(o) be the third derivative of -o**5/120 - o**4/12 - o**3/3 - 49*o**2 - 2. Factor z(k).
-(k + 2)**2/2
Suppose -400*x - 596026 + 596026 - 190*x**2 + 5*x**3 = 0. What is x?
-2, 0, 40
Let c(t) = -13*t**3 - 55*t**2 - 73*t + 120. Let x(g) = 6*g**3 + 27*g**2 + 36*g - 60. Let w(b) = 3*c(b) + 7*x(b). Suppose w(r) = 0. Calculate r.
-5, -4, 1
Let i(p) = 17*p + 99. Let v be i(-6). Let w be (2 - 3 - -7)*v/(-12). Factor -w + 1/2*j**2 + j.
(j - 1)*(j + 3)/2
Let t(b) be the third derivative of b**6/120 - 21*b**5/100 + 7*b**4/10 + 22*b**3/15 - b**2 - 2. Determine l so that t(l) = 0.
-2/5, 2, 11
Let o = -10/21 - -107/210. Let h(k) be the second derivative of 0*k**2 + 3/2*k**3 + o*k**6 + 5/4*k**4 + k + 0 + 7/20*k**5. Find c such that h(c) = 0.
-3, -1, 0
Factor 2/3*i**4 + 0*i + 0 + 2*i**2 + 8/3*i**3.
2*i**2*(i + 1)*(i + 3)/3
Suppose l = a, 5*l - 4*a + 3 = 6. Factor l*c - 5 - c**2 - c + 4.
-(c - 1)**2
Let z(o) be the third derivative of -o**8/840 - o**7/210 - o**3/6 - 11*o**2. Let j(u) be the first derivative of z(u). Let j(a) = 0. What is a?
-2, 0
Let y be ((-24)/126)/(1/(-14)). Let v(q) be the second derivative of 8*q**2 + 1/3*q**4 + 0 + 4*q - y*q**3. Factor v(n).
4*(n - 2)**2
Suppose -5*c + 3*s = -10260, 5*c - 4*s - 10295 = -8*s. Find m such that 6*m - c + 2063 + 4*m**2 + 6*m = 0.
-2, -1
Let f be (-135)/(-36) + 6/(-8). Let k be (-1*(-2)/4)/1. What is p in -1/4*p**f + 0 - k*p**2 - 1/4*p = 0?
-1, 0
Let p(x) be the third derivative of x**11/554400 + x**5/30 - 5*x**4/3 - x**2 + 4. Let m(k) be the third derivative of p(k). Factor m(q).
3*q**5/5
Let m(a) be the first derivative of -45/2*a**2 + 0*a + 10*a**4 - 10*a**3 + 6*a**5 + 5/6*a**6 + 10. Factor m(r).
5*r*(r - 1)*(r + 1)*(r + 3)**2
Factor 27/5 + 3/5*z**4 + 18*z**2 + 84/5*z + 36/5*z**3.
3*(z + 1)**3*(z + 9)/5
Let l(u) be the first derivative of -u**4 + 4*u**3/3 - 81. Factor l(h).
-4*h**2*(h - 1)
Let o(r) = -r**3 + 2*r**2 + 10*r - 4. Let c be o(4). Let -2*m**3 - 15*m**2 - c*m**3 - 12 - 24*m + 5*m**3 - 2*m**3 = 0. What is m?
-2, -1
Let s be ((-24)/(-18))/((-9)/(-27)). Suppose 0 + 1/2*p**3 + 2/3*p**s - 1/6*p**2 + 0*p = 0. What is p?
-1, 0, 1/4
Suppose 11*n - 17 - 5 = 0. Factor -3/2*i - 3/2*i**n + 0.
-3*i*(i + 1)/2
Let y = -15601 - -15603. Let -3/5*o**y - 66/5*o - 363/5 = 0. What is o?
-11
Let i(x) be the third derivative of x**5/160 + 23*x**4/64 + 11*x**3/8 + 2*x**2 - 42*x. Factor i(g).
3*(g + 1)*(g + 22)/8
Let i(m) be the second derivative of -2*m**6/45 + m**5/12 + 5*m**4/12 - 10*m**3/9 + 2*m**2/3 - 104*m. Find u such that i(u) = 0.
-2, 1/4, 1, 2
Let q be 211/(-15) + 12 - -3. Determine x so that q*x - 4/15 - 2/15*x**4 + 2/3*x**3 - 6/5*x**2 = 0.
1, 2
Let y(r) be the second derivative of -2*r**7/147 + r**5/5 + 2*r**4/7 + 235*r. Find n such that y(n) = 0.
-2, -1, 0, 3
Let l be (8/28 + (-10)/35)*-1. Let x be (5*1/5 - l)*0. Factor y**4 + 0 + x*y**3 - y**2 + 1/2*y**5 - 1/2*y.
y*(y - 1)*(y + 1)**3/2
Let g(h) be the first derivative of h**7/40 - h**6/24 - h**5/20 - 5*h**3/3 - 26. Let m(l) be the third derivative of g(l). Factor m(c).
3*c*(c - 1)*(7*c + 2)
Suppose -3/5*v**4 - 93/5*v**3 - 153*v**2 + 0 - 135*v = 0. What is v?
-15, -1, 0
Suppose -4*s = 7*s + 31*s. Determine y, given that s + 0*y + 1/2*y**4 + 0*y**3 - 1/2*y**2 = 0.
-1, 0, 1
Let g(i) be the first derivative of -i**3/3 + 3*i**2 - 5*i - 73. Find n, given that g(n) = 0.
1, 5
Let 128/7*b**3 + 125/7 + 54*b**2 + 1/7*b**4 + 376/7*b = 0. What is b?
-125, -1
Let s(y) be the third derivative of y**6/100 + 113*y**5/100 - 29*y**4/20 - 57*y**3/10 - 11*y**2. Factor s(n).
3*(n - 1)*(n + 57)*(2*n + 1)/5
Let w(k) = 7*k**3 - k**2 + 10*k - 8. Let s be w(1). Find z, given that -s - 4/3*z + 4/3*z**2 = 0.
-2, 3
Let r be (-7 - (-312)/44)*(3 - 2). Let l(s) be the third derivative of 0 + 8/33*s**3 + 0*s + 1/660*s**6 + 1/55*s**5 + r*s**4 - 7*s**2. Factor l(g).
2*(g + 2)**3/11
Factor 5*h**2 - 5*h + 5*h**4 + 0*h**2 - 10*h**2 + 8*h**3 - 3*h**3.
5*h*(h - 1)*(h + 1)**2
Let u be 3 + (1920/(-175) - -8). Let y(h) be the second derivative of -16/105*h**6 + 3*h + 2/21*h**4 + 0*h**2 - 10/147*h**7 + 0 - u*h**5 + 0*h**3. Factor y(w).
-4*w**2*(w + 1)**2*(5*w - 2)/7
Let a(h) be the third derivative of -h**5/15 + 17*h**4/3 - 22*h**3 + 224*h**2. Suppose a(v) = 0. What is v?
1, 33
Suppose 37*l + 6 = 40*l. Factor 0*h + 0 + 3/2*h**4 + 3/2*h**l - 3*h**3.
3*h**2*(h - 1)**2/2
Suppose -16 = -2*h - 4*l, -2*l = 6 - 14. Factor 2/7*g**3 + 4*g**2 + h + 14*g.
2*g*(g + 7)**2/7
Factor -8*a - 48*a**2 + 22 + 21*a + 49*a**2.
(a + 2)*(a + 11)
Let c = 32 - 30. Factor -511*r**4 + c*r**3 + 0*r**3 + 512*r**4 - 3*r**3.
r**3*(r - 1)
Let q(s) be the second derivative of s**7/700 + s**6/900 - 19*s**4/12 - 29*s. Let d(z) be the third derivative of q(z). Let d(p) = 0. What is p?
-2/9, 0
Suppose -w = 3*w - 32. Let z be 2/w*(-16)/(-9). Find g, given that z + 2/9*g - 2/3*g**2 = 0.
-2/3, 1
Let y be 1 + 6/(-3) + 7. Suppose 0 = y*i - 7*i + 3. Factor v**3 + i*v + 6*v + v**2 + 5*v**2.
v*(v + 3)**2
Let p = -26 + 50. Determine d so that p*d**2 + 16 - 4*d**3 + 14*d - 23*d - 27*d = 0.
1, 4
Let p = 13 + -6. Let s = p - 3. Let 2*d**5 - 3*d**5 + 0*d**5 + d**s = 0. Calculate d.
0, 1
Let k(o) be the second derivative of o**5/100 - o**4/15 - 7*o**3/30 + o**2 + 74*o. Let k(b) = 0. What is b?
-2, 1, 5
What is m in 39/7*m**2 - 36/7 + 24/7*m + 9/7*m**3 = 0?
-3, -2, 2/3
Let b(j) be the second derivative of 1/32*j**4 + 0 + 0*j**3 + 0*j**2 - 18*j. Find x, given that b(x) = 0.
0
Let 60 - 19 - 10*c**2 + 159*c + 37 + 16*c**2 = 0. What is c?
-26, -1/2
Let g be 323/(-34) - 2/4. Let p be 2/g + ((-344)/(-30) - 1). Factor -p*x**2 + 64/15*x + 98/15*x**3 - 8/15.
2*(x - 1)*(7*x - 2)**2/15
What is u in -23*u**4 - 15*u**3 - 6*u - 26*u**3 + 2*u**3 + 39*u**2 - 44*u**4 - 17*u**4 = 0?
-1, 0, 1/4, 2/7
Let u(b) be the first derivative of -4/35*b**5 - 2/7*b**2 + 30 + 2/7*b**4 - 2/21*b**6 + 8/21*b**3 - 4/7*b. Find k such that u(k) = 0.
-1, 1
Let m = -28 - -30. Let 10*z**m - 13*z**2 + 3*z**3 - 3*z**2 + 3*z**4 = 0. What is z?
-2, 0, 1
Let a(c) = c**2 - c. Let b(q) = q**2 - 9*q + 8. Let v(r) = -2*a(r) + b(r). Factor v(f).
-(f - 1)*(f + 8)
Suppose 8*n**2 + 34*n + 49*n + 16 + 2*n - 19*n = 0. What is n?
-8, -1/4
Let h(y) = -y**4 + 6*y**3 - 2*y**2 - 14*y + 9. Let d(x) = -27*x**3 - 23*x + 4*x**4 + 8*x**3 + 6*x**2 + 66*x - 27. Let q(r) = 6*d(r) + 21*h(r). Factor q(c).
3*(c - 1)**2*(c + 3)**2
What is x in 2/7*x**2 + 78/7 + 32/7*x = 0?
-13, -3
Let g(y) be the first derivative of -y**5/25 + y**4/10 + 32*y**3/15 + 3*y**2 - 63*y/5 + 156. Determine s so that g(s) = 0.
-3, 1, 7
Let r(u) be the third derivative of 6*u**2 + 0*u**4 + 0*u**3 + 0*u + 0*u**5 + 0 + 1/105*u**7 + 1/336*u**8 + 1/120*u**6. Factor r(t).
t**3*(t + 1)**2
Let 143*y + 162*y**4 + 780*y**3 + 35*y**5 + 698*y**2 + 128*y**4 + 60*y - 43*y + 62*y**2 = 0. Calculate y.
-4, -2, -2/7, 0
Let r(k) be the first derivative of 8*k**3/27 - k**2/9 + 20. Factor r(j).
2*j*(4*j - 1)/9
Let k(t) be