 o = -9 - 8. Let n(u) = -4*u**2 + 4*u + 6. Let x(a) = -4*a**2 + 13*a - 7*a**2 + 17 - 2*a. Let w(p) = o*n(p) + 6*x(p). Solve w(z) = 0.
0, 1
Let w(i) = i**2 + 1. Let v be w(1). Suppose 2*d + 0*d = 10. Factor -l**2 + d*l + 10 + l + v*l**2 - 1.
(l + 3)**2
Let f be (-418)/6*(1 + -3). Let m = f + -138. Suppose -z**3 - 1/3*z + 0 - 4/3*z**2 + m*z**5 + 4/3*z**4 = 0. What is z?
-1, -1/2, 0, 1
Let k(m) = -m**3 - 5*m**2 - 9*m. Let j(x) = x**2. Let z(p) = -2*j(p) + 2*k(p). Determine c, given that z(c) = 0.
-3, 0
Let 7/6*m**2 + 0 - 1/3*m = 0. What is m?
0, 2/7
Let v = 2/375 + 1744/1125. Let m be 2/(-15)*(-30)/9. Suppose -8/9*b**4 + 8/9*b**5 - m*b**2 - v*b**3 + 0*b + 0 = 0. Calculate b.
-1/2, 0, 2
Let v(z) = -z**3 + 4*z**2 - 4*z + 2. Let l be v(2). Let t(i) = 2*i**2 - 2*i. Let f be t(l). Factor -5*d - d**2 + 5*d + d**f.
d**2*(d - 1)*(d + 1)
Let p(o) be the first derivative of -9/2*o**2 - o**3 + 2 - 6*o. Determine a so that p(a) = 0.
-2, -1
Let f(h) be the first derivative of h**6/6 + 4*h**5/5 + 5*h**4/4 + 2*h**3/3 - 2. Factor f(o).
o**2*(o + 1)**2*(o + 2)
Suppose -s - 4*s + 95 = 0. What is d in 2*d - s*d**3 + d**2 - 4*d**4 + 4*d**3 - 7*d**5 + 23*d**4 = 0?
-2/7, 0, 1
Let d(q) = 3*q + 25. Let k be d(-7). Let i(m) be the first derivative of 0*m**2 - 3/5*m**5 - 2 - 5/4*m**k - 2/3*m**3 + 0*m. Factor i(z).
-z**2*(z + 1)*(3*z + 2)
Let a be 4*-2*(-3 - -2). Let z = a + -8. Factor z*h**2 + 1/3*h**5 - 1/3*h**3 + 0*h + 0*h**4 + 0.
h**3*(h - 1)*(h + 1)/3
Let i = -37 + 37. Let m(f) be the first derivative of i*f**3 - 1/16*f**4 + 0*f**2 - 2 + 0*f. Find u such that m(u) = 0.
0
Solve -1/5 + 1/5*t**3 + 1/5*t**2 - 1/5*t = 0 for t.
-1, 1
Let d = -451 - -453. Let 1/2*y - 1/2*y**d + 1 = 0. What is y?
-1, 2
Let t be (-4 + 55/15)*(-4 - 2). Let b(n) be the second derivative of -1/40*n**5 + 0 + 0*n**t - 1/24*n**4 + 1/60*n**6 + n + 1/12*n**3. Factor b(u).
u*(u - 1)**2*(u + 1)/2
Let r(l) be the first derivative of 1/15*l**3 + 1/10*l**2 + 0*l + 2. Factor r(o).
o*(o + 1)/5
Let 0*x + 2*x**3 - x**4 + 0*x**2 - x**3 - x + x**2 = 0. Calculate x.
-1, 0, 1
Let n(h) = -h**3 + 10*h**2 + 10*h + 15. Let b be n(11). Suppose 4*w - w = 0. Factor -p**3 + 3*p**3 - b*p**2 + w*p + 2*p.
2*p*(p - 1)**2
Let c(n) = -n - 5. Let g be c(-9). Suppose -4 = -g*w + 8. Solve 13/3*m**w + 7/3*m - 4/3*m**4 - 5*m**2 - 1/3 = 0 for m.
1/4, 1
Let g(j) be the second derivative of j**9/20160 - j**7/3360 + j**4/12 + j. Let n(s) be the third derivative of g(s). Find z, given that n(z) = 0.
-1, 0, 1
Let g(q) = -4*q - 5*q - 9*q**2 - 5 - 3*q - 6. Let c(h) = -5*h**2 - 6*h - 5. Let m(y) = 7*c(y) - 4*g(y). Factor m(v).
(v + 3)**2
Factor 3/7*y - 13/7*y**2 - 4/7*y**4 + 0 + 16/7*y**3.
-y*(y - 3)*(2*y - 1)**2/7
Let u(p) = 2*p**2 + 3*p + 1. Let h be u(-2). Suppose -11 - 11 = -t - 4*v, 0 = -3*t - 4*v + 26. Factor -t*c**h - 2*c**2 + 7*c - 2*c - 2 - 3*c + 4.
-2*(c - 1)*(c + 1)**2
Let x(g) be the second derivative of -1/294*g**7 - 5/42*g**3 + 5/42*g**4 + 1/42*g**6 - 1/14*g**5 + 5*g + 1/14*g**2 + 0. Factor x(z).
-(z - 1)**5/7
Let y(u) be the first derivative of 1/5*u**5 - 3/4*u**4 + u**3 + 2 - 1/2*u**2 + 0*u. Factor y(c).
c*(c - 1)**3
Let s(q) be the first derivative of -2*q**3/45 - 2*q**2/15 - 2*q/15 + 23. Let s(y) = 0. Calculate y.
-1
Let y(a) be the first derivative of -1/11*a**2 - 1/22*a**4 + 2 + 0*a - 4/33*a**3. Factor y(f).
-2*f*(f + 1)**2/11
Suppose 320 = 19*z + 282. Find p, given that 1/4*p + 0 - 1/8*p**z = 0.
0, 2
Factor 0 - 2/9*w + 2/9*w**5 + 4/9*w**2 + 0*w**3 - 4/9*w**4.
2*w*(w - 1)**3*(w + 1)/9
Let 8/17 + 6/17*n - 2/17*n**2 = 0. What is n?
-1, 4
Let y(m) be the second derivative of m**7/98 - 3*m**6/70 + 3*m**5/70 + m**4/14 - 3*m**3/14 + 3*m**2/14 + 18*m. Suppose y(d) = 0. What is d?
-1, 1
Let p(j) be the second derivative of j**6/135 - j**5/90 - j**4/27 - 2*j. Factor p(l).
2*l**2*(l - 2)*(l + 1)/9
Let x be 1 - (8/(-6) - -2). Factor 0*p - 1/3*p**2 + x.
-(p - 1)*(p + 1)/3
Let c(x) be the first derivative of 1/2*x**4 + 0*x + 4*x**2 + 8/3*x**3 + 2. Factor c(b).
2*b*(b + 2)**2
Let w(l) = -l**2 + 5*l + 4. Let s be w(3). Let 2 + 13*f**2 + 14*f**4 + 2*f**5 + 7*f**2 - 4*f**4 + 2*f**3 + 18*f**3 + s*f = 0. Calculate f.
-1
Suppose -2 = -0*r + 2*r. Let l be ((-2)/(-4))/(r/(-4)). Factor 0*y**2 - 4*y**2 + 3*y**l.
-y**2
Suppose -5*z = -5 - 5. Determine a so that -7*a**4 + 4*a**3 - z + 5*a**4 - 2*a**2 + 2 = 0.
0, 1
Factor -3 - 8 - h**2 + 30*h - 18*h.
-(h - 11)*(h - 1)
Let i(k) be the first derivative of -k**6/720 + k**5/80 - k**4/24 - 2*k**3 + 2. Let g(h) be the third derivative of i(h). Factor g(x).
-(x - 2)*(x - 1)/2
Let h(r) be the third derivative of r**5/100 - r**4/10 + r**2. Find s such that h(s) = 0.
0, 4
Let s = 20 - 35. Let p be 6/4*(-20)/s. What is t in -2/5*t - 8*t**p - 58/5*t**3 - 24/5*t**4 + 4/5 = 0?
-1, -2/3, 1/4
Let k(y) be the second derivative of y**8/10080 - y**7/3780 - y**6/540 + 7*y**4/12 + 3*y. Let p(m) be the third derivative of k(m). Factor p(g).
2*g*(g - 2)*(g + 1)/3
Let c(a) = -65*a**3 + 235*a**2 - 115*a - 40. Let k(l) = -16*l**3 + 59*l**2 - 29*l - 10. Let j(f) = -4*c(f) + 15*k(f). Factor j(z).
5*(z - 2)*(z - 1)*(4*z + 1)
Find r such that 2/5*r**3 + 2*r**2 - 26/5*r + 14/5 = 0.
-7, 1
Let k(h) = -6*h**4 - 9*h**3 + 18*h**2 - 3*h. Let z(n) = 3*n**4 + 4*n**3 - 9*n**2 + 2*n. Let o(w) = -4*k(w) - 9*z(w). What is m in o(m) = 0?
-2, 0, 1
Let u = -137 - -275/2. Factor 0 - a + 1/2*a**4 - u*a**2 + a**3.
a*(a - 1)*(a + 1)*(a + 2)/2
Let k(d) = 5*d**2 - 10*d + 2. Let p(m) = m. Let z(h) = -11*h**2 + 18*h - 5. Let g(a) = 3*p(a) + z(a). Let o(t) = 6*g(t) + 13*k(t). Suppose o(x) = 0. What is x?
-2
Let h(z) = -z**2 + 1. Let r(v) = 4*v**3 + 11*v**2 - 20*v - 27. Let m(u) = 3*h(u) + r(u). Suppose m(f) = 0. Calculate f.
-3, -1, 2
Let n(o) be the first derivative of -o**6/9 + o**5/15 + o**4/2 - 7*o**3/9 + o**2/3 - 7. Solve n(r) = 0.
-2, 0, 1/2, 1
Suppose 0 + 3/4*v + v**2 + 1/4*v**3 = 0. What is v?
-3, -1, 0
Let y(u) be the second derivative of -u**4 - 2*u**3 + 9/20*u**5 + 0 + 0*u**2 + 8*u. Find c, given that y(c) = 0.
-2/3, 0, 2
Find g such that g - 1/4*g**4 - 3/2*g**2 + g**3 - 1/4 = 0.
1
Let q(o) = -8*o**3 + 2*o**2 - 16*o + 4. Let z(b) be the second derivative of -b**5/20 - b**4/12 - b**3/6 + 3*b. Let k(v) = -q(v) + 6*z(v). Factor k(h).
2*(h - 2)*(h - 1)**2
Let t be (-23)/(-7) + 1*-3. Let x = 870/7 - 124. Factor t*m**3 - 2/7*m**2 + 2/7*m**4 + 0*m - x*m**5 + 0.
-2*m**2*(m - 1)**2*(m + 1)/7
Let c(t) be the third derivative of t**5/60 - t**4/8 - 21*t**2. Factor c(h).
h*(h - 3)
Let a(b) be the third derivative of 0 - 2*b**2 + 0*b**4 + 4/21*b**3 + 0*b - 1/210*b**5. Find w, given that a(w) = 0.
-2, 2
Determine m so that 0 + 1/3*m**2 + 5/3*m = 0.
-5, 0
Factor -1/3 - 1/6*l**2 - 1/2*l.
-(l + 1)*(l + 2)/6
Factor 144/7*v + 16/7 + 324/7*v**2.
4*(9*v + 2)**2/7
Let k(q) be the first derivative of -4/5*q**5 + 0*q**3 + 4*q**4 - 32*q**2 - 8 + 64*q. Let k(t) = 0. Calculate t.
-2, 2
Let n(j) be the third derivative of -j**7/840 + j**6/160 - j**5/80 + j**4/96 + 6*j**2. Determine x so that n(x) = 0.
0, 1
Let v(l) be the first derivative of 2*l**2 - 4/3*l + 5/3*l**3 - 5 + 1/3*l**4. Factor v(g).
(g + 2)**2*(4*g - 1)/3
Let q(w) be the first derivative of -w**6/3 - 46*w**5/35 - 27*w**4/14 - 26*w**3/21 - 2*w**2/7 + 8. Solve q(x) = 0 for x.
-1, -2/7, 0
Let g(u) = -u**3 + u**2 + u + 1. Let y(f) = -28*f**2 - 2 - 21*f**3 + 14 + 4*f - 41*f**3. Let l(o) = -12*g(o) + y(o). What is j in l(j) = 0?
-2/5, 0
Suppose -2*i + 1 = -3. Let d = i + 2. Factor -4*c**d - c**4 + 2*c - 2*c**3 + 3*c**4 + 2*c**2.
-2*c*(c - 1)*(c + 1)**2
Let k(i) be the second derivative of -i**2 + 0*i**3 + 0 + i - 1/30*i**5 - 1/12*i**4. Let z(v) be the first derivative of k(v). Find r such that z(r) = 0.
-1, 0
Let q(i) be the third derivative of i**7/105 + i**6/12 + 4*i**5/15 + i**4/3 - 3*i**2 + 3. Factor q(t).
2*t*(t + 1)*(t + 2)**2
Let r(a) = 9*a + 2. Let w be r(0). Factor -9/4*m - 3/2*m**w + 0 + 3/4*m**3.
3*m*(m - 3)*(m + 1)/4
Let u(q) = -60*q**3 + 325*q**2 - 445*q. Let z(w) = -5*w**3 + 27*w**2 - 37*w. Let t(v) = -3*u(v) + 35*z(v). Find n such that t(n) = 0.
0, 2, 4
Let s = 17 - 15. Let d be 20/6 + 12/(-4). Suppose s*y - d - 8/3*y**2 = 0. What is y?
1/4, 1/2
Let o(s) = -3*s**4 - 10*s**3 + 13*s**2 + 8*s - 8. Let j(r) = -3*r**4 - 9*r**3 + 12*r**2 + 9*r - 9. Let p(f) = 4*j(f) - 3*o(f). Factor p(g).
-3*(g - 1)