irst derivative of -1/4*r**2 - t + 1/4*r + 1/12*r**3. Factor m(w).
(w - 1)**2/4
Factor 2/3*y**2 - 152/3 - 24*y.
2*(y - 38)*(y + 2)/3
Find n such that 18/11*n**2 - 8/11*n + 0 = 0.
0, 4/9
Let n(x) = 6*x**2 - 2*x + 1. Let l be n(1). Let w(c) = -c + 46. Let a be w(44). Factor 1/3*t**l + 2/3*t**a - 1/3*t**4 - 1/3 - 2/3*t**3 + 1/3*t.
(t - 1)**3*(t + 1)**2/3
Let g(b) = -2*b**3 + 8*b + 20. Let q(n) = -5 + 2*n + 6*n - n**2 + 19 - 2*n**3 + 5. Let l(h) = 3*g(h) - 4*q(h). Let l(o) = 0. Calculate o.
-2, 2
Factor 1/6*u**3 + 3/2*u + u**2 + 2/3.
(u + 1)**2*(u + 4)/6
Let q(n) be the third derivative of n**6/40 - 13*n**5/20 - 9*n**4/8 + 405*n**3/2 - 342*n**2. Determine z so that q(z) = 0.
-5, 9
Let r(s) = s**2 + s. Let c(o) be the first derivative of 2*o**3/3 - o**2 - 4*o + 32. Let j(k) = -c(k) - 2*r(k). Factor j(l).
-4*(l - 1)*(l + 1)
Let k(u) be the third derivative of 4*u**8/63 - 8*u**7/15 + 5*u**6/6 + 361*u**5/180 + 17*u**4/12 + u**3/2 + 54*u**2. Let k(z) = 0. What is z?
-1/4, 3
Let z(y) be the second derivative of 2*y**7/21 - 2*y**6/5 - y**5 + y**4 + 8*y**3/3 + 53*y. Suppose z(g) = 0. What is g?
-1, 0, 1, 4
Let c(s) be the third derivative of -s**5/300 - s**4/6 - 6*s**3/5 + 2*s**2 + 6*s. Factor c(f).
-(f + 2)*(f + 18)/5
Let v(l) be the second derivative of 0*l**2 + 4/63*l**3 + 0 - 2/21*l**4 + 13/210*l**5 + 30*l - 2/105*l**6 + 1/441*l**7. Find j such that v(j) = 0.
0, 1, 2
Factor -228*n**2 + 464*n**2 - 237*n**2 - n**3.
-n**2*(n + 1)
Let j be ((-472)/6)/(-4) + 4/(-6). Let t be ((-9)/54)/(j/(-9) + 2). Suppose t*d - 1 - 1/2*d**2 = 0. Calculate d.
1, 2
Let v(x) be the first derivative of 2/9*x**2 + 4 + 2/3*x - 2/27*x**3. Factor v(p).
-2*(p - 3)*(p + 1)/9
Let 2/5*w**2 - 96/5*w + 1152/5 = 0. What is w?
24
Let z(s) = -s**3 - 2*s**2 + s + 2. Let c(r) = 4*r**3 - 34*r**2 - 92*r - 54. Let t(i) = 2*c(i) + 12*z(i). Factor t(x).
-4*(x + 1)**2*(x + 21)
Suppose 0 = -5*f + 16*f + 1760. Let i be ((-42)/104)/(15/f). Factor 98/13*d**3 + 0 - i*d**2 + 8/13*d.
2*d*(7*d - 2)**2/13
Let w = 0 + 5. Find v, given that 17*v**3 - w*v - 8*v**3 + 2*v - 6*v**2 + 0*v = 0.
-1/3, 0, 1
Let u(l) be the third derivative of -1/690*l**6 + 0*l - 1/276*l**4 + 0 + 0*l**3 - 1/230*l**5 + 7*l**2. Factor u(r).
-2*r*(r + 1)*(2*r + 1)/23
Let t = 1/7985 + 36711/159700. Let c = t - -1/50. Factor c*y + 0*y**3 + 0 - 1/2*y**2 - 1/4*y**5 + 1/2*y**4.
-y*(y - 1)**3*(y + 1)/4
Suppose -2*y = -5*y + 5*g - 2, -3*y = 3*g - 6. Let u be (-4)/(-36)*(y + 3). Suppose 0 + u*f**2 - 4/9*f**4 + 2/9*f**5 + 0*f - 2/9*f**3 = 0. What is f?
-1, 0, 1, 2
Let n(l) be the first derivative of l**6/12 - l**5/5 - 9*l**4/8 + 3*l**3 - 84. Factor n(z).
z**2*(z - 3)*(z - 2)*(z + 3)/2
Let r be 28/((-1232)/495) - -12. Let -3/4 + r*p**3 - 21/8*p**2 + 21/8*p = 0. What is p?
1/2, 1, 2
Let v(z) be the second derivative of z**5/5 + 68*z**4 + 9248*z**3 + 628864*z**2 + 104*z. Factor v(i).
4*(i + 68)**3
Determine d so that -8/3*d + 32/3 + 4/3*d**3 - 16/3*d**2 - 1/6*d**5 + 2/3*d**4 = 0.
-2, 2, 4
Let z(r) be the first derivative of -30 - 1/12*r**3 - 121/4*r - 11/4*r**2. Suppose z(y) = 0. What is y?
-11
Let v(l) be the second derivative of l**5/20 - l**4/2 + 2*l**3 - 5*l**2 - 3*l. Let i(m) be the first derivative of v(m). Solve i(h) = 0.
2
Let l(c) = c**4 - c**3 + 6*c**2 - c + 1. Let k(m) = m**3 + m. Let y = -2 + 1. Let j(d) = y*l(d) + 3*k(d). Find p such that j(p) = 0.
1
Let p = -3251/12 + 271. Let m(t) be the third derivative of 0*t**5 - p*t**4 + 5*t**2 + 0*t**3 + 0 + 0*t + 1/60*t**6. What is q in m(q) = 0?
-1, 0, 1
Let y(s) = s**2 + 1. Let a(q) = 52*q**2 + 37*q + 40. Let n(c) = 13*c**2 + 9*c + 10. Let x(t) = 2*a(t) - 9*n(t). Let v(p) = 5*x(p) + 40*y(p). Factor v(b).
-5*(b + 1)*(5*b + 2)
Let x(j) be the second derivative of -j**6/45 + 2*j**4/9 + 25*j. Factor x(p).
-2*p**2*(p - 2)*(p + 2)/3
Let n = -4217 + 8435/2. Determine p so that 1/2*p + 1/6*p**3 - 1/6 - n*p**2 = 0.
1
Factor -2/13*d**2 - 140/13*d - 138/13.
-2*(d + 1)*(d + 69)/13
Suppose a - 4*m + 5 = 0, -m - 6 = -4*m. Suppose -4/11*y**2 - 14/11*y**a + 4/11 + 14/11*y = 0. Calculate y.
-1, -2/7, 1
Let q be 4/((-12)/(-9)) - 3. Suppose -4*g = -q*g - 8. What is a in -4*a**2 - a**2 + 7*a - 2 - 2*a**2 + g*a**2 = 0?
2/5, 1
Let g(j) be the second derivative of -j**5/240 + j**3/6 + 5*j**2/2 + 3*j. Let q(y) be the first derivative of g(y). Determine k so that q(k) = 0.
-2, 2
Let b(u) = -14*u**2 + 368*u - 15830. Let w(n) = n**2 - n - 1. Let q(t) = b(t) + 12*w(t). Factor q(c).
-2*(c - 89)**2
Let k(u) be the first derivative of u**6/300 + u**5/25 + u**4/5 + 8*u**3/15 + 5*u**2 - 6. Let n(t) be the second derivative of k(t). Factor n(p).
2*(p + 2)**3/5
Factor 4/5*f**2 + 12/5 + 16/5*f.
4*(f + 1)*(f + 3)/5
Suppose 16*q = 21*q - 15. Factor 32 + c**2 - 24 - q*c**2.
-2*(c - 2)*(c + 2)
Let p(j) = -4*j**4 - 4*j**2 + 4. Let g(k) = 4*k**4 + 5*k**2 - 5. Let z = 21 + -17. Let d(c) = z*g(c) + 5*p(c). Factor d(s).
-4*s**4
Let r(p) be the first derivative of -p**6/15 + p**5/2 - 7*p**4/6 + p**3 + 8*p - 2. Let j(y) be the first derivative of r(y). Suppose j(m) = 0. What is m?
0, 1, 3
Factor 679*h**2 - 340*h**2 - 38*h + 361 - 338*h**2.
(h - 19)**2
Factor 39*m + 45*m**2 + 9044*m**3 - 9023*m**3 + 2*m**4 + 12 + m**4.
3*(m + 1)**3*(m + 4)
Suppose 3 - 1 = 2*d. Factor -d - 4*s**3 + 4 - 3.
-4*s**3
Let l(c) = 4*c + 13 - 4*c**2 - 13. Let z(p) = 1. Let u(r) = 21*r**2 - 21*r - 18. Let x(d) = -u(d) - 18*z(d). Let b(g) = -22*l(g) + 4*x(g). Solve b(v) = 0 for v.
0, 1
Let x(r) be the first derivative of 2*r**3/15 + 5*r**2 + 40*r + 822. Factor x(s).
2*(s + 5)*(s + 20)/5
Suppose -2*y**4 + 4080*y**3 - 4065*y**3 - 4*y**2 - 3*y**5 - 4*y - 2*y**5 = 0. What is y?
-2, -2/5, 0, 1
Let q(a) = -40*a**3 - 2*a**2 - 3*a - 1. Let k be q(-1). Let v be 168/k - (-1)/(-5). Factor 0*s**2 - 8*s**5 - 20*s**v - 64*s**3 - 4*s**2 + 48*s**3.
-4*s**2*(s + 1)**2*(2*s + 1)
Let m be (141/6)/((-1)/(-2)). Suppose -35 + m = 4*w. Determine y, given that -1/3*y**w + 0*y**4 + 0*y + 0 + 1/3*y**5 + 0*y**2 = 0.
-1, 0, 1
Let f be (-12 - -15)*-1*4/(-6). Let h(z) be the second derivative of 1/20*z**5 + 0 + 1/6*z**4 + 2*z - 1/30*z**6 + 0*z**f + 0*z**3. What is v in h(v) = 0?
-1, 0, 2
Let a(f) be the first derivative of -4*f**5/5 - 3*f**4 - 8*f**3/3 + 211. Factor a(i).
-4*i**2*(i + 1)*(i + 2)
Let s be (-12)/(-2) - (11 + -11). Solve 3*i**2 - 5*i - s*i + 2*i = 0 for i.
0, 3
Suppose 0 = 4*f + 4*g - 4, 29*f - 32*f + 19 = -5*g. Factor 12/5*u**f + 0 - 2/5*u**4 - 18/5*u**2 + 0*u.
-2*u**2*(u - 3)**2/5
Let n = 20 + -20. Factor -b**2 - b + n*b**3 + b**3 + 5*b**4 - 4*b**4.
b*(b - 1)*(b + 1)**2
Let w(b) = b**3 + 5*b**2 - 16*b - 10. Let m be w(-7). Let v = 4 - m. Determine n so that 0*n**2 + v*n - 8/5*n**3 + 0 - 4/5*n**4 + 4/5*n**5 = 0.
-1, 0, 2
Let p(a) be the first derivative of 0*a + 1/4*a**3 - 9/8*a**2 + 12. Suppose p(y) = 0. Calculate y.
0, 3
Factor 2/7*i**3 - 12/7*i**2 - 2/7*i + 12/7.
2*(i - 6)*(i - 1)*(i + 1)/7
Let -62300*f + 866*f**2 + 44984*f - 234*f**3 + 16428 + 4141*f**2 + 3*f**4 = 0. Calculate f.
2, 37
Let 12/5 - 3*j**2 - 3/5*j = 0. What is j?
-1, 4/5
Let c(x) be the first derivative of 2*x**6/15 - 4*x**4/5 + 8*x**3/15 + 6*x**2/5 - 8*x/5 - 141. Let c(k) = 0. Calculate k.
-2, -1, 1
Suppose -3*a = -7 - 8, 10 = 5*v + 2*a. Suppose 5/2*r**4 + 0 + 0*r**3 + 0*r**2 + v*r - 5/4*r**5 = 0. Calculate r.
0, 2
Let a(i) be the second derivative of i**5/5 + 37*i**4/3 + 782*i**3/3 + 1734*i**2 + 49*i + 8. Factor a(r).
4*(r + 3)*(r + 17)**2
Let v = 34 - 32. Determine x so that -11*x + 2*x**2 - v*x**4 + 2*x**3 + 12*x - 3*x = 0.
-1, 0, 1
Let v(c) be the second derivative of -c**5/20 + 41*c**4/4 + 83*c**3/2 + 125*c**2/2 - 86*c. Solve v(u) = 0.
-1, 125
Let t(o) be the third derivative of -1/540*o**5 - 1/108*o**4 + 0*o**3 - 25*o**2 + 0*o + 0. Let t(p) = 0. What is p?
-2, 0
Let n be 764/(-70) + 0 - (-8)/(-28). Let p = -11 - n. Find d such that 0 - 1/5*d**2 - p*d = 0.
-1, 0
Suppose 2*k = -3*s - 7, -3*s - 5 + 2 = 3*k. Let y(a) be the first derivative of 1/5*a**3 + 3/10*a**2 - k + 0*a. Solve y(b) = 0.
-1, 0
Let j be 1 + 1 + (-7)/((-70)/20). Let q(t) be the second derivative of -3*t + 1/6*t**j - 5/12*t**3 + 1/2*t**2 - 1/40*t**5 + 0. Factor q(d).
-(d - 2)*(d - 1)**2/2
Factor -2/5*u**2 - 810 + 36*u.
-2*(u - 45)**2/5
Let s(x) = x**4 + x**3 - x**2 - 4. Let q(f) = f**4 - 15*f**3 - 19*f**2 - 12. Let o(h) = -q(h) + 3*s(h). 