) + w(v). What is x in z(x) = 0?
-2, 0, 1
Let n(i) = i**2 - 5*i - 2. Let v be n(6). Let z be (-16)/(-10) + v/10. Factor 0 + 0*r + 2/9*r**z.
2*r**2/9
Let v(y) = -5*y**3 - y**2 + y. Let z(j) = -j**3 + j**2 + j. Let g(s) = -2*v(s) + 6*z(s). Factor g(h).
4*h*(h + 1)**2
Suppose -3*o + 7*o - 8 = 0. Factor -11 + 11 - o*g**3 - 6*g - 8*g**2.
-2*g*(g + 1)*(g + 3)
Let f(o) = 7*o**2 + 6*o + 9. Let m(c) = 10*c**2 + 9*c + 13. Let n(p) = 7*f(p) - 5*m(p). Factor n(d).
-(d + 1)*(d + 2)
Let -h + 5/2*h**2 + 0 + 1/2*h**4 - 2*h**3 = 0. Calculate h.
0, 1, 2
Let p = 2 + 2. Factor 0*u - 3*u - u**2 + p*u + 0*u**2.
-u*(u - 1)
Let c = -100 - -100. Let s(p) be the second derivative of 1/2*p**2 + c + p + 3/2*p**3 + 27/16*p**4. Find j, given that s(j) = 0.
-2/9
Let r(w) = 79*w + 318. Let s be r(-4). Factor 1/5*p**s + 3/5*p + 0.
p*(p + 3)/5
Let p(d) be the third derivative of d**6/45 - 7*d**5/90 - d**4/18 - 2*d**2 - 7*d. What is b in p(b) = 0?
-1/4, 0, 2
Let z be (-104)/(-84) + (-20)/30. Factor -z + 2/7*q**2 + 6/7*q + 2/7*q**4 - 6/7*q**3.
2*(q - 2)*(q - 1)**2*(q + 1)/7
Let d(k) be the second derivative of -k**6/600 + k**4/40 - k**3/15 + 7*k**2/2 + 8*k. Let j(r) be the first derivative of d(r). Factor j(o).
-(o - 1)**2*(o + 2)/5
Let a(n) be the second derivative of -n**3 + n - 2*n**2 + 0 - 1/6*n**4. Factor a(p).
-2*(p + 1)*(p + 2)
Let i(s) be the third derivative of -s**7/350 + s**6/200 + 3*s**5/100 - s**4/40 - s**3/5 - 7*s**2. Suppose i(a) = 0. Calculate a.
-1, 1, 2
Suppose 3 = 3*k + 3*o, -2 = -3*k + 3*o - 5. Let d(b) be the second derivative of -b + k + 0*b**2 - 1/40*b**5 - 1/12*b**3 - 1/12*b**4. Factor d(y).
-y*(y + 1)**2/2
Let n be (-21)/(-14)*(-24)/(-9). Find v, given that -8/13*v**n - 2/13*v**5 + 10/13*v - 8/13*v**3 + 4/13*v**2 + 4/13 = 0.
-2, -1, 1
Determine n, given that -9/2*n**3 + 0 + 3*n - 3/2*n**2 = 0.
-1, 0, 2/3
Let i(j) = j**3 - 6*j**2 + 5*j - 2. Let f be i(5). Let d be (3/(-2))/(1/f). Factor -1/2*s**d - 1/2*s + 0 - s**2.
-s*(s + 1)**2/2
Let d = -68/3 + 23. Let n be 1/(-3)*2*1/(-2). Factor 0 - n*r**2 + d*r.
-r*(r - 1)/3
Let z(h) be the first derivative of 2/39*h**3 + 0*h + 10 + 1/13*h**2. Factor z(c).
2*c*(c + 1)/13
Let b(k) = -5*k**3 + 19*k**2 + 6*k - 21. Let t(a) = -a**2 + a - 1. Let u(h) = -b(h) + t(h). Factor u(p).
5*(p - 4)*(p - 1)*(p + 1)
Suppose -3*v + 2*q + 53 = 0, -4*v + 67 = v + 2*q. Let k = v + -11. Suppose -k*z**2 + 5*z**2 - 4*z + 3*z = 0. Calculate z.
0, 1
Let s(n) = -8*n**5 + 15*n**4 - 10*n**3 - 3*n**2 + 3*n + 3. Let w(o) = 7*o**5 - 15*o**4 + 10*o**3 + 2*o**2 - 2*o - 2. Let k(i) = 2*s(i) + 3*w(i). Factor k(v).
5*v**3*(v - 2)*(v - 1)
Factor 4/13*j - 6/13 + 2/13*j**2.
2*(j - 1)*(j + 3)/13
Let f(y) be the second derivative of -2*y + 11/36*y**4 - 2/45*y**6 + 0*y**5 + 1/3*y**2 + 1/2*y**3 + 0. Find t such that f(t) = 0.
-1, -1/2, 2
Suppose 0 = -3*l + 3*l + 2*l. Let a(r) be the third derivative of -1/105*r**5 + 0*r**3 - r**2 + 0*r + 1/84*r**4 + l + 1/420*r**6. Factor a(w).
2*w*(w - 1)**2/7
Let g(m) = 2*m**3 + m**2 - m + 1. Let q be g(2). Factor -19 - 4*b + 7*b + q + 3*b**3 - 6*b**2.
3*b*(b - 1)**2
Suppose -5*t + 34 = 3*n, n - 28 = -5*t - 0*t. Let k(m) be the first derivative of 1/3*m**2 + 3 - 1/6*m**4 + 0*m + 0*m**n. Suppose k(g) = 0. Calculate g.
-1, 0, 1
Let s(q) be the third derivative of 0 + 1/72*q**4 + 0*q**3 + 0*q + 5*q**2 + 1/180*q**5. Factor s(u).
u*(u + 1)/3
Let s(j) be the first derivative of j**4/6 + j**3/3 - j**2/2 - 2*j/3 - 2. Factor s(m).
(m - 1)*(m + 2)*(2*m + 1)/3
Let s(r) be the second derivative of -r**6/6 - r**5/4 + 5*r**4/6 + 8*r. Solve s(d) = 0 for d.
-2, 0, 1
Solve -11/4*n**3 - 3/2*n**4 + 9/4*n**5 + n**2 + 0 + n = 0 for n.
-2/3, 0, 1
Factor -3 + 0*v**2 + 9*v**2 - 7 - 4*v**2 + 5*v.
5*(v - 1)*(v + 2)
Let c(t) = -4*t**2 + 2*t - 10. Let x(a) = 3*a**2 - 2*a + 9. Let j(b) = 5*c(b) + 6*x(b). Suppose j(s) = 0. Calculate s.
-2, 1
Let v be (16/(-12))/(2/(-6)). Find x such that 1 + x**2 - v + 2*x**2 = 0.
-1, 1
Let m be (-1)/((-3)/(-15)*-1). Suppose m*d - 7 = x, -19 = -5*x - 2*d - 0*d. Let x*r**2 + 2*r**2 + 2*r**3 - 9*r**3 + 2*r = 0. Calculate r.
-2/7, 0, 1
Let g(f) be the third derivative of -1/180*f**5 + 0 + 1/120*f**6 - 1/9*f**4 - 5*f**2 - 2/9*f**3 + 0*f. What is d in g(d) = 0?
-1, -2/3, 2
Let d(r) be the first derivative of 0*r - 1 - 2/3*r**3 + 0*r**2 + 1/4*r**4. Factor d(x).
x**2*(x - 2)
Let h(l) be the second derivative of -l**4/4 + l**3 + 28*l. Determine v, given that h(v) = 0.
0, 2
Let x be (-3)/5 + 6/(-15). Let w(r) = r**3 - r**2. Let f(k) be the first derivative of 2*k**3/3 - k**2 - 1. Let z(h) = x*f(h) - 2*w(h). Solve z(l) = 0 for l.
-1, 0, 1
Let r(j) be the third derivative of -j**7/1365 - j**6/260 + j**5/390 + j**4/52 - 17*j**2. Let r(m) = 0. Calculate m.
-3, -1, 0, 1
Suppose -9*j**3 + 3*j**4 + 4*j - 4*j - 3*j + 9*j**2 + 0*j**2 = 0. What is j?
0, 1
Let s(c) = c**2 - c - 6. Let h(x) = 4*x + 7*x + 24 - 8*x - 3*x**2. Let l(w) = -2*h(w) - 9*s(w). Factor l(n).
-3*(n - 2)*(n + 1)
Let r = 1 - -1. Let d = 24 + -23. Suppose -s**r - 7 - s**2 + 0*s**2 - d + 8*s = 0. Calculate s.
2
Let x be (-54)/(-15) - 4/(-10). Suppose -10*g**4 - x*g**3 + 0*g + 0*g = 0. Calculate g.
-2/5, 0
Let u(m) be the third derivative of 0*m**3 + 0*m - 176/105*m**7 + 1/6*m**4 + 0 + 3*m**2 - 5/6*m**5 + 8/21*m**8 + 9/5*m**6. Factor u(x).
2*x*(x - 2)*(4*x - 1)**3
Solve -r**2 + 0 + 0*r - 5/2*r**3 = 0.
-2/5, 0
Let 3/7*x**2 + 9/7*x - 12/7 = 0. What is x?
-4, 1
Let i = 65/6 - 19/2. Solve 4/3*q**3 + 2*q**4 - 2/3 - 2*q + 2/3*q**5 - i*q**2 = 0 for q.
-1, 1
Let j(d) = -d - 5. Let u be j(-7). Factor 0*b**2 + 2 + 3*b**u - 6*b - b**2 + 2.
2*(b - 2)*(b - 1)
Let y be 45/50*(-10)/(-12). Factor 0 + y*i**2 + 9/4*i.
3*i*(i + 3)/4
Let s(j) be the first derivative of 1/120*j**6 + 1 + 0*j**3 + 0*j**4 + 0*j + j**2 + 0*j**5. Let r(f) be the second derivative of s(f). What is y in r(y) = 0?
0
Let u(k) be the first derivative of 2*k**3/45 - 2*k**2/15 + 2*k/15 + 7. Find j such that u(j) = 0.
1
Let v = 91/45 - 2. Let c(m) be the second derivative of -v*m**5 + 1/135*m**6 - 1/9*m**2 + m + 0 + 2/27*m**3 + 0*m**4. Factor c(s).
2*(s - 1)**3*(s + 1)/9
Factor -4*p**3 + 7*p**3 - 5*p**2 - 4*p**3 + 6*p**3.
5*p**2*(p - 1)
Let f(c) = -c**2 - 3*c + 4. Let m be f(-5). Let w be 1/(3*(-2)/m). Factor -9*a**2 + 13*a**3 + 2*a - 5*a**4 - 3*a + w + 1.
-(a - 1)**3*(5*a + 2)
Let d(a) be the second derivative of 5*a - 1/4*a**4 + 1/20*a**6 + 1/4*a**3 + 0 + 1/28*a**7 + 3/4*a**2 - 3/20*a**5. Determine y so that d(y) = 0.
-1, 1
Let a(q) be the first derivative of -q**5 - 15*q**4/4 - 15. Determine z, given that a(z) = 0.
-3, 0
Let l = -6 - -11. Suppose l = h + 2. Factor -4*y**5 + 2*y**5 + 2*y**4 - 2*y**h + 2*y**4.
-2*y**3*(y - 1)**2
Let a = 2881/63 - -38/63. Let m = a + -46. Determine n so that 1/3*n**5 + 0 + 0*n**4 + m*n - 2/3*n**3 + 0*n**2 = 0.
-1, 0, 1
Let f be (-1)/(0 - -1)*-1. Let u(o) = -o**3 - 1. Let s(v) = 3*v**3 + 12*v**2 + 24*v + 17. Let x(b) = f*u(b) + s(b). Factor x(y).
2*(y + 2)**3
Let y(p) be the second derivative of p**4/54 - 4*p**3/27 + 4*p**2/9 + 9*p. Solve y(l) = 0.
2
Let s(w) be the third derivative of w**5/105 + w**4/3 + 14*w**3/3 - 24*w**2. Find h such that s(h) = 0.
-7
Factor -81/2*q**5 + 243/2*q**4 - 135*q**3 + 0 + 66*q**2 - 12*q.
-3*q*(q - 1)*(3*q - 2)**3/2
Let f(l) be the third derivative of -1/60*l**5 + 3*l**2 + 0 + 2/9*l**3 + 0*l**4 - 1/360*l**6 + 0*l. Factor f(x).
-(x - 1)*(x + 2)**2/3
Factor 0*h + 0 - 10/3*h**3 - 4*h**2 + 2/3*h**4.
2*h**2*(h - 6)*(h + 1)/3
Let t = 135 - 132. Let m(g) be the second derivative of -9/2*g**2 + 0 - g**3 - 1/12*g**4 - t*g. Determine o, given that m(o) = 0.
-3
Suppose -2*w = -8, -2*c + 5*w = 2*c + 4. Find p such that 9*p**4 - p**2 - 2*p**2 - 6*p**c = 0.
-1, 0, 1
Suppose -10/7*u**2 + 12/7 + 26/7*u = 0. Calculate u.
-2/5, 3
Let q = -1 - -8. Suppose 0 = 4*s - g + 6*g + q, -1 = -2*s - g. Factor -s*m + 0*m**4 + 2*m**4 + 0*m - 6*m**3 + 6*m**2.
2*m*(m - 1)**3
Let t = 23/6 - 1/2. Let p(m) be the first derivative of -m - t*m**3 - 1/6*m**6 + 4 - 5/2*m**4 - 5/2*m**2 - m**5. Let p(u) = 0. What is u?
-1
Let l(s) be the second derivative of s**7/420 + s**6/60 + s**5/20 + s**4/12 + s**3/2 + s. Let w(h) be the second derivative of l(h). Find c such that w(c) = 0.
-1
Let g(m) = -m**3 - 7*m**2 - m + 5. Let s be g(-7). Suppose r - s = -2*r. Factor -w**5 + r*w**2 - 5*w**3 - 2*w + w + 4*