-5*m - j + 30 = 0, -3*m - s*j - 7 = -37. Factor -14/5*h + 2/5*h**m + 4/5 - 4/5*h**3 + 16/5*h**2 - 4/5*h**4.
2*(h - 1)**4*(h + 2)/5
What is u in -2/5*u**3 + 0 + 4/5*u - 2/5*u**2 = 0?
-2, 0, 1
Let w = 470 - 919/2. Let t = -10 + w. Suppose 5/4*l**2 + 0 - 3/4*l**3 - t*l = 0. Calculate l.
0, 2/3, 1
Let b be ((-20)/(-25))/((-6)/(-15)). Let m be ((-9)/(-6))/((-6)/(-16)). Suppose -2*f**4 + f + f**2 + b*f**4 - f**m + f**3 - 2*f = 0. What is f?
-1, 0, 1
Let s(k) = -6*k**4 + 4*k**3 - k**2 - k - 1. Let i(l) = -5*l**4 + 4*l**3 - 2*l**2 - 1. Let r(c) = -5*i(c) + 4*s(c). Find m such that r(m) = 0.
1
Suppose -2*b + 7*j - 3*j = 0, b + 5*j = 0. Suppose b = m + 1 - 3. Factor -o**5 + o + 0*o**5 - m*o**2 + o**4 + o**4.
-o*(o - 1)**3*(o + 1)
Let d(m) = -2*m**2 + m - 1. Let o(p) = p**2 + 1. Let q(z) = -d(z) - o(z). Factor q(f).
f*(f - 1)
Suppose -4*w + 2*x = 4*x - 4, -2*w = 5*x + 6. Let a(g) be the second derivative of 1/30*g**4 + 0 + 1/15*g**3 + 0*g**2 - w*g. Factor a(j).
2*j*(j + 1)/5
Let q(r) = 3*r**2 + 2*r - 5. Let a(z) = -7*z**2 - 4*z + 11. Let y(t) = -4*a(t) - 10*q(t). Factor y(w).
-2*(w - 1)*(w + 3)
Determine t, given that -79 + t + t**2 + 79 = 0.
-1, 0
Let j = 5 - 3. Let d(r) be the first derivative of 0*r**j + 1/8*r**4 + 0*r**3 + 2 - 1/12*r**6 + 0*r**5 + 0*r. Determine q, given that d(q) = 0.
-1, 0, 1
Let l(f) be the second derivative of -9*f**5/20 + 5*f**4/4 + f**3 + 5*f. Factor l(n).
-3*n*(n - 2)*(3*n + 1)
Let z = -7 - -14. Let h(y) = -6*y**3 - 4*y**2 - 4*y + 1. Suppose -k - 24 = -5*k. Let r(p) = 5*p**3 + 3*p**2 + 3*p - 1. Let f(c) = k*h(c) + z*r(c). Factor f(w).
-(w + 1)**3
Let k(d) be the second derivative of -d**8/2016 + d**7/3780 + d**4/6 - 7*d. Let h(y) be the third derivative of k(y). Let h(i) = 0. Calculate i.
0, 1/5
Let t(o) be the second derivative of -1/42*o**4 + 2/7*o**2 + 1/21*o**3 - 5*o + 0. Find c, given that t(c) = 0.
-1, 2
Let g be (-9)/(-4) - (1 + 0). Let r(w) = -w**2 - 2*w + 18. Let s be r(-5). Factor g*z**4 + 3/4*z**s - 7/4*z**2 + 1/2 - 3/4*z.
(z - 1)*(z + 1)**2*(5*z - 2)/4
Let j(r) be the second derivative of 4*r**7/63 + 7*r**6/45 - r**5/5 - 7*r**4/18 + 2*r**3/9 + 11*r. Find s such that j(s) = 0.
-2, -1, 0, 1/4, 1
Factor -13*z**5 - 6*z**5 + 23*z**5.
4*z**5
Find f, given that 14*f - 12*f**2 + 3/2*f**3 + 1/2*f**4 + 0 = 0.
-7, 0, 2
Let z(l) = l**2 - 5*l - 7. Let i be z(6). Let g be 0/((-1 - i) + -3). Solve -5/4*v**3 - 3/4*v**4 + 3/4*v**2 + g + 1/4*v + v**5 = 0 for v.
-1, -1/4, 0, 1
Determine n so that 6*n**2 - 5*n**3 + 12*n**4 + 38*n**2 - 4*n - 39*n**3 - 8 = 0.
-1/3, 1, 2
Let b(j) be the first derivative of 3/5*j**3 + 0*j - 2 + 1/5*j**2 + 1/5*j**4. Suppose b(i) = 0. Calculate i.
-2, -1/4, 0
Let f(u) = u**2 + u - 6. Let w(x) = x**2 + x - 5. Let a(s) = -5*f(s) + 6*w(s). Let b be a(1). Find h such that -6/5*h**3 - 2/5 - 2/5*h + b*h**2 = 0.
-1/3, 1
Let h = -930 + 930. Factor -8*j**3 - 4/3*j + 16/3*j**2 + 16/3*j**4 - 4/3*j**5 + h.
-4*j*(j - 1)**4/3
Let l(d) be the first derivative of -d**5/20 + 3*d**4/16 - d**3/4 + d**2/8 + 42. Factor l(k).
-k*(k - 1)**3/4
Determine d, given that -2/7*d + 4/7*d**2 - 2/7*d**3 + 0 = 0.
0, 1
Let z(r) be the first derivative of r**4/4 - r**3/2 + 2*r - 3. Let n(i) be the first derivative of z(i). Determine u so that n(u) = 0.
0, 1
Let c(i) be the second derivative of -i**9/1680 + i**8/560 - i**7/700 - 5*i**3/6 - 6*i. Let b(m) be the second derivative of c(m). Factor b(g).
-3*g**3*(g - 1)*(3*g - 2)/5
Let d(k) = 15*k. Let u be d(1). Let l(r) = 12*r**2 - 36*r + 24. Let a(j) = 3*j**2 - 9*j + 6. Let m(f) = u*a(f) - 4*l(f). Factor m(p).
-3*(p - 2)*(p - 1)
Let r = -30 + 16. Let o be (-22)/(-30) - r/(-42). Factor 2/5 - 4/5*n + o*n**2.
2*(n - 1)**2/5
Let k be (0 - 4)*(-11)/242. Suppose k*s**2 + 0 + 0*s = 0. Calculate s.
0
Find w such that -24*w**3 - 4*w**4 - 98 + 8*w + 2*w**5 - 4*w**2 + 98 + 6*w**5 = 0.
-1, 0, 1/2, 2
Let o = 5 + -29/6. What is q in -1/3*q + 1/6*q**3 + 0 - o*q**2 = 0?
-1, 0, 2
Let b(k) be the third derivative of -1/90*k**5 + 0*k**3 + 0*k**6 + 0 + 1/315*k**7 + 0*k + k**2 + 0*k**4. Factor b(j).
2*j**2*(j - 1)*(j + 1)/3
Solve 12/7*m**2 + 20/7*m**4 - 24/7*m**3 - 2/7*m - 6/7*m**5 + 0 = 0 for m.
0, 1/3, 1
Let v(l) = l + 6. Let i be v(-4). Let z be (i - -1)*(-2)/(-2). Let 0 + 1/2*q**z + 1/2*q**2 + 0*q = 0. Calculate q.
-1, 0
Let h be (-4)/14*(-819)/156. Find m such that -9/2*m**3 - 3/2*m**2 + 0*m - h*m**5 + 0 - 9/2*m**4 = 0.
-1, 0
Factor 533 + 2*m + 4*m + m**2 - m - 527.
(m + 2)*(m + 3)
Let b(f) = f**2 + 1. Let y(n) = -n**3 + 11*n**2 + 13*n + 19. Let q(a) = 18*b(a) - 2*y(a). Factor q(c).
2*(c - 5)*(c + 1)*(c + 2)
Let m(h) = h**3 - h**2. Let k(z) = 6*z**3 - 2*z**2 - 10*z + 6. Let d(w) = k(w) - 4*m(w). Factor d(x).
2*(x - 1)**2*(x + 3)
Let b(f) = -f**4 + f**2 - f - 1. Let x = 5 + -6. Let d(g) = 2*g**3 + g + 3. Let j(r) = x*d(r) - 3*b(r). Factor j(s).
s*(s - 1)*(s + 1)*(3*s - 2)
Let p(d) = -d**4 - 29*d**3 - 35*d**2 - 17*d. Let u(h) = -h**4 - 14*h**3 - 17*h**2 - 8*h. Let n(l) = 2*p(l) - 5*u(l). Suppose n(c) = 0. Calculate c.
-2, -1, 0
Let a be ((-26)/10)/((-12)/10). Let q = -3/2 + a. Factor 0 + q*x + 2/3*x**2.
2*x*(x + 1)/3
Factor -2/5*i**2 + 0*i - 2/3*i**4 - 14/15*i**3 - 2/15*i**5 + 0.
-2*i**2*(i + 1)**2*(i + 3)/15
Let h(y) be the second derivative of -3*y**4/20 - y**3/15 + 6*y. Factor h(g).
-g*(9*g + 2)/5
Let k be (-65)/14*13/(-26). Let a = 18/7 - k. Factor 1/2 - a*y**2 + 1/4*y.
-(y - 2)*(y + 1)/4
Let i(o) be the second derivative of 0*o**3 + 1/30*o**6 + 0*o**2 + 0 + 1/36*o**4 + 3*o + 1/20*o**5 + 1/126*o**7. Factor i(h).
h**2*(h + 1)**3/3
Let n(p) be the first derivative of 0*p + 3 - 2/35*p**5 - 10/21*p**3 + 2/7*p**4 + 2/7*p**2. Factor n(o).
-2*o*(o - 2)*(o - 1)**2/7
Let j(f) = -f - 1. Let n be j(-3). Suppose 0*i = i - 3. Factor -3*c**4 - 12*c**2 - 8*c - 4*c**3 + c**4 - 4*c**i - n.
-2*(c + 1)**4
Solve 15*p + 59*p**3 - 9 - 5*p**2 - 62*p**3 + 2*p**2 = 0.
-3, 1
Let o(a) be the first derivative of 245*a**4/4 - 35*a**3 - 60*a**2 - 20*a - 14. Find f such that o(f) = 0.
-2/7, 1
Suppose 16/5 + 1/5*v**2 - 8/5*v = 0. Calculate v.
4
Factor 135*h**2 + 5*h**5 - 1250 + 135*h**3 + 45*h**4 + 1250.
5*h**2*(h + 3)**3
Suppose 2*t + 2*t = 3*w + 12, -t = 3. Let i be w/(-6)*2/8. Suppose 0*r + i*r**3 + 2/3*r**2 + 0 = 0. What is r?
-2, 0
Let c(x) be the first derivative of -2 + 5/12*x**3 + 7/8*x**2 + 1/2*x. Let c(b) = 0. Calculate b.
-1, -2/5
Let j = -250/3 - -84. Factor -j*u**2 + 8/3*u - 8/3.
-2*(u - 2)**2/3
Find p, given that -63*p**3 - 66*p**3 + 123*p**3 + 3 + 6*p**2 - 3*p**5 + 0 + 9*p - 9*p**4 = 0.
-1, 1
Let 0*s**3 + s + 2*s**4 + 3*s - 2*s**2 + 12*s**2 + 8*s**3 = 0. Calculate s.
-2, -1, 0
Let l(m) be the second derivative of -m**7/1680 + m**6/720 + m**5/240 - m**4/48 - m**3/2 + 3*m. Let d(a) be the second derivative of l(a). Factor d(q).
-(q - 1)**2*(q + 1)/2
Let c(i) be the third derivative of 1/42*i**4 + 0*i**3 - 3*i**2 - 1/42*i**5 + 0 + 1/140*i**6 + 0*i. Factor c(r).
2*r*(r - 1)*(3*r - 2)/7
Find g such that 2/7*g**2 + 0 + 0*g - 2/7*g**5 - 2/7*g**4 + 2/7*g**3 = 0.
-1, 0, 1
Let u(d) = 8*d**3 - 44*d**2 - 40*d - 36. Let f(i) = i**3 - i**2 + i - 1. Let k(z) = -12*f(z) + u(z). Factor k(t).
-4*(t + 1)**2*(t + 6)
Let j(n) be the second derivative of n**8/3360 - n**6/360 - n**4/6 - 2*n. Let v(f) be the third derivative of j(f). Factor v(p).
2*p*(p - 1)*(p + 1)
Suppose -2*u + 3*u = 2. Let 2*v**4 + 1 + 0*v**4 + 1 - 2*v**2 - u*v**2 = 0. What is v?
-1, 1
Let l(z) = -z**3 - 11*z**2 + 2*z + 27. Let x be l(-11). Factor 0*h + 0 + h**x + 1/3*h**3 + 1/3*h**2 - 5/3*h**4.
h**2*(h - 1)**2*(3*h + 1)/3
Let a(c) be the first derivative of -1 - 1/20*c**5 + 2*c - 1/2*c**2 - 1/4*c**4 - 1/2*c**3. Let w(m) be the first derivative of a(m). Factor w(q).
-(q + 1)**3
Suppose v + 4*v - 10 = 0. Factor -6*q**3 - 2*q**4 + 0*q**4 - q**v - 2*q - 5*q**2.
-2*q*(q + 1)**3
Suppose -2*f - 3*f + 15 = 0. Factor f - 6 + 3 - 4*w**2 + 2*w**3 + 2*w.
2*w*(w - 1)**2
Let g(v) be the second derivative of -v**6/150 + v**5/50 - 11*v. Let g(o) = 0. Calculate o.
0, 2
Let k be ((-2)/3)/((-3)/9). Solve 8*j**2 - 2*j**k - 5 + 3 - 4 + 9*j = 0 for j.
-2, 1/2
Let m = -643/5 - -129. Factor 4/5*j + 6/5*j**2 + m*j**3 + 0.
2*j*(j + 1)*(j + 2)/5
Let z(r) be the first derivative of -14/15*r**3 - 9/10*r**4 + 0*r + 2/5*r**2 + 5. Determine o so that z(o) = 0.
-1, 0, 2/9
Let n(v) = 5*v**4 - 7*v**3 - 3*v