h**3 + 7*h**2 - 3*h. Let p(w) = -22*g(w) + 6*i(w). Suppose p(u) = 0. Calculate u.
-3, 0, 1
Let u(t) be the third derivative of -t**8/112 + 2*t**7/35 - t**6/10 + 37*t**2. Factor u(h).
-3*h**3*(h - 2)**2
Suppose 0 = 2*n - 4*t + 4, n - t - 1 = -2. Factor n*j**4 + j**2 - 2*j**2 - 2 + 3*j**4 - 5*j + 5*j**3.
(j - 1)*(j + 1)**2*(3*j + 2)
Let 3/2*m + 0 - 3/4*m**2 = 0. What is m?
0, 2
Let h(d) be the third derivative of -1/35*d**7 + 1/42*d**8 + 0*d + 0*d**4 - 1/60*d**6 + 0*d**5 + 0 + d**2 + 0*d**3. Factor h(f).
2*f**3*(f - 1)*(4*f + 1)
Suppose -5*k = c + 8 + 8, 0 = -5*c + k - 28. Let b be (-35)/(-21)*c/(-5). Factor -1/3*i**b - 3 + 2*i.
-(i - 3)**2/3
Let s be 3/(-2*(-3)/(-6)). Let u be (-1)/(-4) + s/(-20). Suppose -4/5 - u*k + 2/5*k**2 = 0. What is k?
-1, 2
Find x, given that -x**2 + 11*x**4 + 7*x**2 + 18*x**3 + 3*x**5 - 4*x**3 - x - 1 = 0.
-1, 1/3
Let c(z) be the first derivative of -2*z**5/25 - 3*z**4/10 - 2*z**3/5 - z**2/5 + 10. Factor c(k).
-2*k*(k + 1)**3/5
Let h(i) = 10*i**2 - 14*i. Let x(s) = -s**2 + s + 1. Let j(t) = -h(t) - 12*x(t). What is o in j(o) = 0?
-3, 2
Let -72*x**3 - 61*x**3 - 8*x**2 + 125*x**3 + 2*x**5 + 2*x**4 = 0. Calculate x.
-2, -1, 0, 2
Let k be (24/7)/(-4)*-7. Let b(d) = -d**2 + 8*d - 4. Let j be b(k). Factor -4*h**4 + 2*h**4 + 6*h**2 - 2 - j*h**3 - 8*h - 18*h**2.
-2*(h + 1)**4
Solve -2 - 4*d**3 - 2 - 12*d - 12*d**2 + 0 + 0 = 0 for d.
-1
Suppose 3*m - 6*m + 18 = -4*j, 3*m = -4*j - 6. Suppose 0 = -2*p, 2*k + 0*k = 4*p + 6. Let 3*w**m + 3*w**k + 2*w - w**2 - 5*w**3 - w**4 - w**4 = 0. What is w?
-1, 0, 1
Factor -7/6*f + 1/3 + 1/2*f**2.
(f - 2)*(3*f - 1)/6
What is l in 5/7*l**3 + 3/7 - 19/7*l**2 + l + 4/7*l**4 = 0?
-3, -1/4, 1
Suppose 3*z - 16 = -4. Suppose -z*a - 5 = -2*a - 3*i, -2*i = 5*a - 16. Let 4/3*r**a - 2/3*r - 2/3*r**3 + 0 = 0. What is r?
0, 1
Let a(v) = 5*v**2 + 7*v - 48. Let r(d) = -2*d**2 - 2*d + 16. Let c(h) = -2*a(h) - 7*r(h). Factor c(t).
4*(t - 2)*(t + 2)
Factor 1/5*d**3 + 63/5*d - 17/5*d**2 + 81/5.
(d - 9)**2*(d + 1)/5
Let m(y) be the second derivative of -y**7/14 - y**6/30 + 7*y**5/30 + y**4/18 - 5*y**3/18 + y**2/6 + 18*y. Find a, given that m(a) = 0.
-1, 1/3, 1
Factor 1/5*m**5 + 1/5*m**4 + 0*m - 2/5*m**3 + 0*m**2 + 0.
m**3*(m - 1)*(m + 2)/5
Factor 2/5*h**4 - 4/5*h**2 + 2/5 + 0*h + 0*h**3.
2*(h - 1)**2*(h + 1)**2/5
Let v(q) be the second derivative of q**8/56 + 2*q**7/21 + q**6/5 + q**5/5 + q**4/12 - 2*q**2 + 3*q. Let y(c) be the first derivative of v(c). Factor y(l).
2*l*(l + 1)**3*(3*l + 1)
Factor f**2 + 4/3 - 2*f - 1/6*f**3.
-(f - 2)**3/6
Let s(z) be the second derivative of z**7/21 - 2*z**5/5 - z**4/3 + z**3 + 2*z**2 + 8*z. Suppose s(r) = 0. Calculate r.
-1, 1, 2
Suppose -2*w - 2 + 6 = 0. What is j in -j**2 + j + w + 1 - 2 - j**3 = 0?
-1, 1
Suppose -2 - 1 = -q. Suppose 0 = -4*w - w + q*k - 12, -4*k + 16 = 3*w. Factor -2/3*a**3 + 0 + 0*a + w*a**2.
-2*a**3/3
Let v(g) be the third derivative of -1/70*g**7 + 0*g + 2*g**3 + 0 + 5*g**2 - 3/20*g**5 + 1/10*g**6 - 1/2*g**4. Solve v(m) = 0.
-1, 1, 2
Let i(d) = 8*d**4 + 8*d**3 - 9*d**2 - 20*d - 11. Let j = -20 + 15. Let y(r) = r**4 + r**3 - r - 1. Let q(b) = j*y(b) + i(b). Factor q(w).
3*(w - 2)*(w + 1)**3
What is z in 1/4*z**2 + 1/4 - 1/2*z = 0?
1
Let x be 4 - (-1 - -7) - 20/(-9). Determine j so that 0 + 0*j - 2/9*j**5 + 2/9*j**2 - 2/9*j**4 + x*j**3 = 0.
-1, 0, 1
Solve -5*g**3 - 6*g + 3*g - 12*g**2 + 15 + 8*g - 3*g**2 = 0.
-3, -1, 1
Let i(u) be the second derivative of u**4/18 - u**3/3 + 2*u**2/3 - 9*u. Suppose i(f) = 0. What is f?
1, 2
Let a(d) = d**2 + 4*d - 3. Suppose o = -4 - 1. Let p be a(o). Solve 4*y + 8*y**2 + 4*y**2 + 10*y**3 + p*y**2 = 0 for y.
-1, -2/5, 0
Suppose -3*g + 1 + 5 = 0. Let w be (-25)/(-20) - (1 + 0). Solve -1/2*q**g + 1/4 - w*q = 0.
-1, 1/2
Let t(v) = -v**4 + v + 1. Let u(b) = 8*b**4 + 8*b**3 + 10*b**2 - 2*b - 6. Let h be 16/(-3) - 6/9. Let n(m) = h*t(m) - u(m). Factor n(k).
-2*k*(k + 1)**2*(k + 2)
Let g be 2/(12/9) + -1. Let i(m) be the first derivative of -2 - g*m**2 + 0*m + 0*m**3 + 1/2*m**4 - 1/6*m**6 + 0*m**5. Factor i(b).
-b*(b - 1)**2*(b + 1)**2
Let v(d) be the third derivative of -3*d**7/490 + d**6/56 - d**5/140 - d**4/56 - 19*d**2. Find p, given that v(p) = 0.
-1/3, 0, 1
Let l(q) be the second derivative of q**6/40 - 3*q**5/20 + 3*q**4/8 - q**3/2 - 5*q**2/2 + 6*q. Let y(b) be the first derivative of l(b). Factor y(k).
3*(k - 1)**3
Let h(j) be the second derivative of j**5/20 - j**4/8 - j**3 + j**2/2 - 4*j. Let i(q) be the first derivative of h(q). Solve i(f) = 0 for f.
-1, 2
Factor 7*l**4 + 2*l**4 - 15*l**4 - 2*l + 7*l**4 - 3*l**2.
l*(l - 2)*(l + 1)**2
Let b(c) be the first derivative of -c**6/2 - 27*c**5/20 - 9*c**4/8 - c**3/4 + 5. Determine z so that b(z) = 0.
-1, -1/4, 0
Let y(c) be the first derivative of c**7/1400 - c**6/600 + 3*c**3 - 8. Let z(m) be the third derivative of y(m). Solve z(g) = 0.
0, 1
Factor 2/7*f**3 + 2/7*f**4 - 4/7*f**2 + 0 + 0*f.
2*f**2*(f - 1)*(f + 2)/7
Solve 17*p**2 - 4*p**3 - p**2 - 19*p - 5*p + 8*p = 0.
0, 2
Let i(j) be the second derivative of j**6/45 - j**5/10 + 4*j**3/9 + 14*j. Let i(q) = 0. Calculate q.
-1, 0, 2
Let u be (-3)/((-3)/4 + 0). Let b be -2 + (-2)/u*-5. Suppose -1/2*t**3 + 0 + 1/2*t**2 + b*t**5 - 1/2*t**4 + 0*t = 0. What is t?
-1, 0, 1
Let k(u) = -5*u**2 - 2 + 3*u - 7*u**2 + 6 + 5*u**3. Let t(l) = -24*l**3 + 60*l**2 - 15*l - 21. Let m = -2 - 0. Let g(h) = m*t(h) - 11*k(h). Factor g(f).
-(f - 1)**2*(7*f + 2)
Let t(u) be the second derivative of -u**3 + u + 1/2*u**4 - 3/40*u**5 + 0 + 0*u**2. Factor t(f).
-3*f*(f - 2)**2/2
Let z(k) be the third derivative of -k**7/210 + 3*k**6/40 - k**5/4 - 25*k**4/24 - 34*k**2. Solve z(r) = 0 for r.
-1, 0, 5
Let k(v) be the first derivative of 3*v**5/5 + 9*v**4/4 + v**3 - 9*v**2/2 - 6*v + 28. Factor k(b).
3*(b - 1)*(b + 1)**2*(b + 2)
Let v(c) = -c - 20. Let p be v(-20). Let r(f) be the first derivative of 0*f**2 + p*f + 1/2*f**4 - 2 - 2/3*f**3. Factor r(n).
2*n**2*(n - 1)
Let k be 2/(-4)*0/10. Determine i so that i**2 + k + 1/2*i**3 + 1/2*i = 0.
-1, 0
Let n(d) = -d**3 + d**2 + 3. Let s be n(0). Solve -y**4 - 6*y**4 - 3*y**s + 6*y**3 - y**3 = 0 for y.
0, 2/7
Suppose -4*h**2 + 0*h**2 - 8*h - 3*h**3 + 7*h**3 = 0. What is h?
-1, 0, 2
Let f(a) = -6*a**3 - 2*a**2 - 2*a - 1. Let w be f(-1). Factor -w + 4 + 2*j**2 - 1.
2*(j - 1)*(j + 1)
Let g(q) = -q**3 - q**2 + 6*q - 4. Let x(u) = -2*u**2 + 6*u - 4. Let v be 1 + 5/(15/12). Let t(b) = v*x(b) - 6*g(b). What is j in t(j) = 0?
-1, 2/3, 1
Let o(b) be the first derivative of 11*b**5/10 - 10*b**4/3 + 7*b**3/3 + 2*b**2 + 2*b + 6. Let l(d) be the first derivative of o(d). Solve l(s) = 0 for s.
-2/11, 1
Suppose -d + 2 = -4. Let a(r) be the second derivative of 0*r**3 + 0*r**5 + 0*r**2 + 1/45*r**d + 0 - 1/18*r**4 + 2*r. Factor a(l).
2*l**2*(l - 1)*(l + 1)/3
Suppose 3*j - 40 = -4*m, 0 = m + 2*m + j - 25. Let q = m - 5. Factor 0*k**q + 0 + 1/2*k - 1/2*k**3.
-k*(k - 1)*(k + 1)/2
Let o = 0 - -2. Let a be ((-20)/(-2))/(1*o). Factor -5*k + k**4 - a + k + 2*k**3 + 4 + 2*k.
(k - 1)*(k + 1)**3
Let o(j) be the third derivative of -j**8/168 + 2*j**7/105 - j**5/15 + j**4/12 - 2*j**2 + 18*j. Factor o(f).
-2*f*(f - 1)**3*(f + 1)
Suppose -2 = 5*q - 12. What is a in -6*a**3 + 3*a**q + 3*a**3 - a + a**4 + 0*a**4 + 0*a**4 = 0?
0, 1
Let l be -7*(-7)/49*3. Solve 1/5*x**l + 1/5*x**4 - 1/5*x**5 - 1/5*x**2 + 0*x + 0 = 0 for x.
-1, 0, 1
Let k(m) be the first derivative of -2*m**3/3 + m**2 + 4*m + 6. Factor k(u).
-2*(u - 2)*(u + 1)
Let c(z) = -z**2 - 7*z - 1. Let k be c(-7). Let j be k*4/12*-12. Factor -2 + 5/2*n**2 - j*n.
(n - 2)*(5*n + 2)/2
Let u(l) be the second derivative of -3*l**5/5 - l**4/4 + 2*l**3 + 3*l**2/2 + l. Determine z so that u(z) = 0.
-1, -1/4, 1
Let c(i) = 10*i**3 - 19*i**2 + 12*i. Let m(y) = -9*y**3 + 18*y**2 - 12*y. Let u(z) = -6*c(z) - 7*m(z). Factor u(f).
3*f*(f - 2)**2
Let w(k) be the second derivative of k**6/180 - k**3/3 + 2*k. Let j(b) be the second derivative of w(b). Factor j(m).
2*m**2
Let r = 9 + -8. Let h(q) = q**3 - q**2 - q - 1. Let c(p) = p**4 + 4*p**3 - 7*p**2 - 5*p - 5. Let t(a) = r*c(a) - 5*h(a). Factor t(u).
u**2*(u - 2)*(u + 1)
Let v = 30 + -27. Factor 3 + 3*z - 2 - 3 + z**v - 4*z + 2*z**2.
(z - 1)*(z + 1)*(z + 2)
Let z = 95 - 133/2. Let r = 29 - z. Factor 1/2*g**4 + 0*g + 0*g**3 - g**2 + r.
(g - 1)**2*(g + 1)**2/2