r b(s).
-4*s*(6*s - 1)
Suppose -2*d - 5 = -5*d + 2*p, 2*d = 3*p. Determine h, given that 2/5*h + 30*h**d + 50*h**4 + 0 + 6*h**2 = 0.
-1/5, 0
Let w be (-1534)/(-1690) - (2 - 7/5). Factor 10/13*y**2 - 14/13*y + 8/13*y**3 - w.
2*(y - 1)*(y + 2)*(4*y + 1)/13
Suppose -3*q + 8*q - 2*g + 2 = 0, 4 = 2*q + 4*g. Solve 0 + 2/7*y**4 - 2/7*y**2 + 4/7*y**3 + q*y - 4/7*y**5 = 0 for y.
-1, 0, 1/2, 1
Let x(t) be the second derivative of -12*t**6/25 - 3*t**5/25 + 13*t**4/15 + 14*t**3/15 + 2*t**2/5 - 2*t. What is o in x(o) = 0?
-1/2, -1/3, 1
Let l(g) = g**3 - 6*g**2 + 2*g - 8. Let m be l(6). Suppose m*p = 2*u - 4, -4*u + p + 29 = -0. Factor -6*i**5 + 2*i**2 + 2*i**3 + 0*i**3 - u*i**4 + 2*i**2.
-2*i**2*(i + 1)**2*(3*i - 2)
Suppose 0 = -n - 0*n + j - 29, 3*j - 6 = 0. Let t be ((-9)/n)/(6/8). Factor 2/9*p**2 + 2/9 + t*p.
2*(p + 1)**2/9
Factor -2*g**5 + 47*g**2 - 7*g - 3*g**5 - 20*g**4 + 2*g - 67*g**2 - 30*g**3.
-5*g*(g + 1)**4
Let -3*r**3 + 2*r**3 + 4*r**3 - 5*r**3 + r**4 = 0. What is r?
0, 2
Let w(u) be the third derivative of -u**8/168 - 2*u**7/105 + u**5/15 + u**4/12 - u**2. Find i, given that w(i) = 0.
-1, 0, 1
Let c(r) be the first derivative of -r**4/26 - 4*r**3/39 + 3*r**2/13 - 9. Factor c(j).
-2*j*(j - 1)*(j + 3)/13
Suppose -2*r + 5*r - 255 = 5*h, -h - 39 = -3*r. Let b be 2/h*114/(-19). Determine m, given that 10/9*m**4 - 4/9*m - 10/9*m**2 - b*m**3 + 0 + 2/3*m**5 = 0.
-1, -2/3, 0, 1
Let b(g) be the second derivative of -2*g**4/3 - 2*g**3/3 + 2*g**2 - 5*g. Determine l, given that b(l) = 0.
-1, 1/2
Let l(u) be the first derivative of u**5/80 - u**4/24 + u - 3. Let a(m) be the first derivative of l(m). Factor a(x).
x**2*(x - 2)/4
Let o(p) be the third derivative of 1/21*p**4 - 2/735*p**7 - 1/1176*p**8 + 0*p**3 + 0*p + 4/105*p**5 + 1/140*p**6 - 2*p**2 + 0. Find j, given that o(j) = 0.
-2, -1, 0, 2
Let z(v) be the first derivative of v**6/4 + 12*v**5/5 + 33*v**4/4 + 12*v**3 + 27*v**2/4 - 56. Factor z(q).
3*q*(q + 1)**2*(q + 3)**2/2
Let r(c) = c**4 - c**3 - c**2 + c. Let y(b) = -6859*b**5 + 2168*b**4 - 230*b**3 + 6*b**2 + 2*b. Let a(t) = 6*r(t) - 3*y(t). Factor a(o).
3*o**2*(19*o - 2)**3
Factor -8*t - 613*t**2 + 616*t**2 + 2*t.
3*t*(t - 2)
Let x(u) = -6*u - 2. Let l be x(-1). Let a(z) be the first derivative of 1/9*z**3 + 1/15*z**5 + 0*z + 0*z**2 + 2 + 1/6*z**l. Suppose a(n) = 0. Calculate n.
-1, 0
Let y(a) be the first derivative of -4/7*a - 1/7*a**4 + 3/7*a**2 + 2/7*a**3 + 11. Factor y(n).
-2*(n - 2)*(n + 1)*(2*n - 1)/7
Let f(z) be the second derivative of z**8/6720 + z**4/4 - 2*z. Let r(w) be the third derivative of f(w). Factor r(b).
b**3
Let q(z) = 44*z**3 - 76*z**2 - 220*z - 100. Let f(w) = 4*w**3 - 7*w**2 - 20*w - 9. Let n(p) = -32*f(p) + 3*q(p). Factor n(l).
4*(l - 3)*(l + 1)**2
What is t in -1/3*t**5 + 1/3*t + 0 + 2/3*t**4 + 0*t**3 - 2/3*t**2 = 0?
-1, 0, 1
Let l(r) be the first derivative of -r**3/30 + 3*r**2/10 - r/2 - 1. Factor l(n).
-(n - 5)*(n - 1)/10
Let u be ((-9)/6)/((-2)/12). Factor 4*g - 5*g + 3*g + 4*g - u*g**2 + 3*g**3.
3*g*(g - 2)*(g - 1)
Let d(c) = c + 8. Let k be d(-4). Find q such that 2*q**3 + 2*q + k*q**3 - 2*q**4 - 2*q**2 + 0*q**2 - 4*q**2 = 0.
0, 1
Let l(y) be the third derivative of y**7/70 + 3*y**6/40 + y**5/20 - 3*y**4/8 - y**3 + 6*y**2. Factor l(v).
3*(v - 1)*(v + 1)**2*(v + 2)
Suppose -3*n - 35 - 160 = 0. Let i = -193/3 - n. Factor -7/3*t**2 - i + 3*t.
-(t - 1)*(7*t - 2)/3
Find g such that 0 - 1/8*g**4 + 1/8*g**2 - 1/4*g + 1/4*g**3 = 0.
-1, 0, 1, 2
Let k(l) = 4*l**3 + 4*l**2 - 16*l + 8. Let o(r) = -8*r**3 - 8*r**2 + 33*r - 17. Let t(f) = 7*k(f) + 4*o(f). Solve t(z) = 0 for z.
-3, 1
Let a(s) be the second derivative of 3*s**4/28 - s**3/6 - s**2/7 - 2*s. Solve a(l) = 0 for l.
-2/9, 1
What is o in -250/19*o**5 - 80*o**3 + 976/19*o**2 + 1050/19*o**4 - 288/19*o + 32/19 = 0?
2/5, 1, 2
Let a(r) = r**2 + 2*r - 8. Let t be a(-4). Let u(m) be the third derivative of -1/210*m**5 - m**2 + 1/21*m**3 + t + 0*m + 0*m**4. Factor u(x).
-2*(x - 1)*(x + 1)/7
Let o(q) be the third derivative of -q**5/60 + 5*q**4/24 - 2*q**3/3 + q**2 - 33. Solve o(c) = 0 for c.
1, 4
Let p(q) = -q**3 - 8*q**2 - 8*q + 2. Let y be p(-8). Let r be 32/(-10)*(-135)/y. Factor -r*u - 8/11 - 162/11*u**2.
-2*(9*u + 2)**2/11
Let y be (-8)/(-6) + (-12)/(-18). Let j be ((-12)/y)/(45/(-6)). Factor 2/5 - j*k + 2/5*k**2.
2*(k - 1)**2/5
Let l = -4/21 - -10/21. Let -4/7*s**3 - 2/7 + 4/7*s + 0*s**2 + l*s**4 = 0. Calculate s.
-1, 1
Let f(m) = 4*m**5 - 4*m**3. Suppose -5*j = -8*j - 6. Let p(u) = -13*u**5 + 13*u**3. Let w(b) = j*p(b) - 7*f(b). What is k in w(k) = 0?
-1, 0, 1
Let x be -4 - -3 - (-5)/4. What is y in -x*y**3 - 1 + 3/4*y**2 + 0*y = 0?
-1, 2
Suppose 3*n - 6*n + 18 = 0. Suppose -7*a = -8 - n. Let -4/3 - a*i - 2/3*i**2 = 0. Calculate i.
-2, -1
Suppose -3*w - 5*p + 47 = 0, 5 = 2*w + 4*p - 27. Let a be w/21 + (-2)/3. Suppose -2/5*l**4 + 0 + 0*l**2 + 0*l + a*l**3 - 2/5*l**5 = 0. What is l?
-1, 0
Let t(m) be the second derivative of -m**6/30 + m**5/20 - 2*m. Factor t(q).
-q**3*(q - 1)
Suppose 9/8*q**3 - 21/8*q**2 - 21/8*q + 9/8 = 0. Calculate q.
-1, 1/3, 3
Let c(z) be the first derivative of 2 + 1/8*z**2 + 0*z - 1/12*z**3. What is j in c(j) = 0?
0, 1
Let h(j) be the first derivative of j**5/40 - j**4/8 + 4*j**2 - 9. Let n(x) be the second derivative of h(x). Factor n(c).
3*c*(c - 2)/2
Suppose -4*n + 23 = -5. Let l(o) = -o**2 + 7*o + 4. Let q be l(n). Solve 16/7*g**3 + 4/7*g - 6/7*g**q + 0 - 2*g**2 = 0 for g.
0, 2/3, 1
Let j(z) = 8*z - 96. Let f be j(12). Let b(t) be the third derivative of f - 1/525*t**7 + 0*t**3 - 2/25*t**5 + t**2 + 0*t - 2/15*t**4 - 1/50*t**6. Factor b(g).
-2*g*(g + 2)**3/5
Let k = -28 + 14. Let p = -9 - k. Factor -3*u**2 + 4*u - 6*u + p*u**2.
2*u*(u - 1)
Let c = 11 - 17. Let l be 3/(-3) + (-8)/c. Find m, given that 1/3*m**2 + 0 + l*m**3 + 0*m = 0.
-1, 0
Let k(o) be the second derivative of -o**6/210 + o**4/42 - o**2/14 + 13*o. Find m, given that k(m) = 0.
-1, 1
Let j = -7 + 3. Let z be 36/(-105)*10/j. Find n such that -2/7*n**3 + 2/7 - 6/7*n + z*n**2 = 0.
1
Let i be -1 + ((-4)/130 - -1). Let f = i - -136/195. Factor 4/3*n**5 - 8/3*n**2 - 1/3 + f*n**3 + 3*n**4 - 2*n.
(n - 1)*(n + 1)**3*(4*n + 1)/3
Let s be (5 - (-35)/(-10))/(6/8). Let k(y) be the second derivative of 0 - s*y + 0*y**2 + 1/36*y**4 - 1/9*y**3. Find n such that k(n) = 0.
0, 2
Let k(t) be the third derivative of t**5/210 - t**4/42 + 4*t**2. Find j such that k(j) = 0.
0, 2
Let s(u) = 4*u**2 - 65*u - 581. Let f(h) = -6*h**2 + 131*h + 1161. Let m(r) = 3*f(r) + 5*s(r). Factor m(i).
2*(i + 17)**2
Suppose 4*v = v + 2*v. What is d in -1/4*d + v*d**2 + 0 + 1/4*d**3 = 0?
-1, 0, 1
Let o be (-3)/6 + (-17)/(-18). Factor 2/9 - o*x + 2/9*x**2.
2*(x - 1)**2/9
Let q = -45 - -48. Let r(z) be the first derivative of 1/2*z**4 - 16*z + 3 - 4*z**q + 12*z**2. Solve r(c) = 0.
2
Let t(a) be the third derivative of a**8/1848 + a**7/231 + 3*a**6/220 + 7*a**5/330 + a**4/66 - 11*a**2. Solve t(z) = 0.
-2, -1, 0
Let p = 309/5 - 61. Let -2/5*l**2 - 2/5 - p*l = 0. What is l?
-1
Suppose -24*h + 22*h = -4. Suppose -14*i**2 + 3*i - 28*i**3 + 34*i**h + 5*i = 0. What is i?
-2/7, 0, 1
Let s(v) = 2*v**2 + 6*v - 1. Suppose 3 = -g - 2. Let d(j) = 2*j**2 + 6*j - 2. Let q(l) = g*d(l) + 6*s(l). Factor q(h).
2*(h + 1)*(h + 2)
Let -12/5*l**2 + 18/5*l + 2/5*l**3 + 0 = 0. Calculate l.
0, 3
Let a(r) be the second derivative of r**6/75 - r**4/10 + 2*r**3/15 - 17*r. Solve a(b) = 0.
-2, 0, 1
Let b = 45 + -134/3. Factor -b*y**3 - 1/3 + 1/3*y + 1/3*y**2.
-(y - 1)**2*(y + 1)/3
Determine y, given that 8/5*y - 8/15 - 6/5*y**2 = 0.
2/3
Let k be (-41)/(-13) + 4/(-26). Let n be 2 - k/(-3 + 0). Let 2*x**3 + 16*x**2 - x**3 + 4*x**n - 25*x**4 + 4*x = 0. What is x?
-2/5, 0, 1
Let i be ((-32)/(-12) - 3)*0. Factor -2/7*u**2 + 0 + i*u - 2/7*u**3.
-2*u**2*(u + 1)/7
Suppose 0 = -2*i, -5*c - 3*i + 16 - 1 = 0. Suppose 4*j**4 - 4*j**5 + c*j**3 - j**3 - 4*j**2 + j + j**3 = 0. Calculate j.
-1, 0, 1/2, 1
Let h be (-176)/24 + 4/(-6). Let t be (-2)/h*4/3. Factor f**3 - 1/3*f**2 - f - t + 2/3*f**4.
(f - 1)*(f + 1)**2*(2*f + 1)/3
Let m(u) = u**3 + 3*u**2 - 2*u - 2. Let s be m(-3). Let v be (2/27)/((-4)/(-24)). Factor 0*p + 2/9*p**s + 2/9*p**2 + 0 + v*p**3.
2*p**2*(p + 1)**2/9
Let b(n) be the third derivative of -1/40*n**6 + 0 - 3/8*n**4 + 1/2*n**3 + 5*n**2 + 0*n + 3/20*n**5. 