40*h**7 + 0*h**4 + 0*h**5 + 0*h + 0*h**3 + 0. Find v, given that w(v) = 0.
-2, 0
Suppose -x + u = -3*u + 4, 4*x - 22 = -3*u. Let j(v) be the first derivative of 0*v**2 - 3/5*v**5 + x + 0*v**4 + v**3 + 0*v. Suppose j(q) = 0. Calculate q.
-1, 0, 1
Let k(s) be the first derivative of -s**3 + 2*s**2 - 111. What is t in k(t) = 0?
0, 4/3
Let m(u) be the second derivative of -u**4/6 + 37*u**3/6 - 15*u**2/2 - u. Let r be m(18). Solve 0*l**r + 0*l + 2/3*l**2 - 2/3*l**4 + 0 = 0 for l.
-1, 0, 1
Let m(f) be the second derivative of -f**5/120 - f**4/8 + f**3/36 + 3*f**2/4 - 58*f. Factor m(w).
-(w - 1)*(w + 1)*(w + 9)/6
Let c(o) = o**2 - 5*o. Let m be c(5). Suppose m*x - 4*x + 8 = 0. What is g in -11*g**3 - 12*g - g**2 + 8*g**3 + 13*g**x = 0?
0, 2
Factor 145*x + 540 - 680 + 0*x**2 - 5*x**2.
-5*(x - 28)*(x - 1)
Let n(g) = -3*g**5 + 8*g**3 + 16*g**2 + 21*g + 4. Let u(w) = -w**5 + w**4 + w**3 - 2*w**2 + w - 1. Let j(s) = -2*n(s) + 4*u(s). Suppose j(h) = 0. Calculate h.
-2, -1, 3
Let x(w) be the third derivative of w**8/33600 - w**6/3600 - 19*w**4/24 + 20*w**2. Let c(y) be the second derivative of x(y). Factor c(m).
m*(m - 1)*(m + 1)/5
Let f(s) be the second derivative of s**4/54 + 4*s**3/27 + 4*s**2/9 - 10*s - 4. What is y in f(y) = 0?
-2
Let j(g) be the third derivative of 17/24*g**4 - 1/12*g**8 - 41/60*g**5 + 0*g + 7*g**2 + 0 + 43/210*g**7 + 11/120*g**6 - 1/3*g**3. Solve j(u) = 0 for u.
-1, 1/4, 2/7, 1
Let z(l) be the second derivative of 2/3*l**3 - 12*l + 0*l**2 - 1/2*l**4 + 0 - 1/2*l**5. Factor z(u).
-2*u*(u + 1)*(5*u - 2)
Let j(n) be the second derivative of n**7/168 - n**6/120 - n + 1. Determine t, given that j(t) = 0.
0, 1
Suppose c + 3*a - 24 = 0, -4*a + 2 = -18. Factor -5 - 4*v + 4*v**3 - 11*v - 15*v**2 - c*v**3.
-5*(v + 1)**3
Suppose 2*v**2 + 0 - 106/5*v = 0. Calculate v.
0, 53/5
Let g(d) be the second derivative of d**5/120 + d**4/48 - d**3/6 - d**2 - 10*d. Let s(k) be the first derivative of g(k). Suppose s(r) = 0. Calculate r.
-2, 1
Let w(h) be the second derivative of h**8/840 + h**7/525 - h**6/150 + 7*h**2 + 8*h. Let m(x) be the first derivative of w(x). Factor m(l).
2*l**3*(l - 1)*(l + 2)/5
Factor 18/13*p**5 + 0 + 8/13*p - 22/13*p**3 + 12/13*p**4 - 8/13*p**2.
2*p*(p + 1)**2*(3*p - 2)**2/13
Let h(z) be the third derivative of -1/10*z**6 + 0*z**3 - 1/6*z**4 - 2/105*z**7 + 0*z + 0 - 1/5*z**5 - 7*z**2. Factor h(o).
-4*o*(o + 1)**3
Let u(q) be the third derivative of -q**6/30 + q**5 - 8*q**4 - 128*q**3/3 + 17*q**2 - 2*q. Factor u(j).
-4*(j - 8)**2*(j + 1)
Let x(z) be the second derivative of -z**8/13440 - z**7/1260 - z**6/288 - z**5/120 + z**4/2 + 6*z. Let d(j) be the third derivative of x(j). Factor d(g).
-(g + 1)**2*(g + 2)/2
Let v = 1139/18 + -556/9. Factor -3/2*j**2 - 3*j - v.
-3*(j + 1)**2/2
Let -571*w**2 + 574*w**2 + 51*w - 6*w = 0. Calculate w.
-15, 0
Let j be (-1 + 19)*(-12)/(-18). Let h = j - 10. Factor 7/3*s - 2/3 - 5/3*s**h.
-(s - 1)*(5*s - 2)/3
Suppose n - 680 = -0*n - 678. Determine l so that -1/7*l**n + 2/7*l + 3/7 = 0.
-1, 3
Suppose 0 = 8*d - 32 + 8. Suppose -d = -c - 3*o, -7*c = -2*c - 5*o + 5. Suppose -1/2*g**3 + c + 3/2*g**2 - g = 0. Calculate g.
0, 1, 2
Let w(u) be the first derivative of u**4/2 - 134*u**3/7 - 58*u**2/7 - 308. Factor w(z).
2*z*(z - 29)*(7*z + 2)/7
Let n(t) = 2*t - 2. Let r be n(1). Let c be r/((-21)/14 + (-5)/(-2)). Factor c - 1/2*y**4 + y + 2*y**3 - 5/2*y**2.
-y*(y - 2)*(y - 1)**2/2
Let s(x) be the first derivative of x**6/75 - x**5/30 - 7*x**4/60 + 2*x**3/15 - x**2 + 4. Let p(f) be the second derivative of s(f). Solve p(i) = 0.
-1, 1/4, 2
Suppose 128 + 12 = 35*k. Factor -3/2*u**2 - 3/4 + 3/4*u**5 + 3/2*u**3 - 9/4*u + 9/4*u**k.
3*(u - 1)*(u + 1)**4/4
Let h = -143 - -143. Let a = 30 - 30. Factor 0 - 2/5*g**4 + 4/5*g**3 + a*g + h*g**2.
-2*g**3*(g - 2)/5
Let w(b) be the third derivative of 0 - 4*b**2 + 2*b**4 + 1/3*b**5 + 8/3*b**3 + 0*b. Factor w(v).
4*(v + 2)*(5*v + 2)
Let s(t) = t**3 + 2*t**2 - 2*t. Let c be s(2). Suppose -4*r - c = -7*r. Factor 5*p**r - 6*p**5 - 3*p**4 + 2*p**5 + 6*p**4.
-4*p**4*(p - 2)
Factor -32 - 2/9*f**3 - 80/3*f + 46/9*f**2.
-2*(f - 12)**2*(f + 1)/9
Let h(g) = -g**3 + 7*g**2 - g + 7. Let y be h(7). Suppose u + 3*u - 16 = y. Factor -7 - 16*o + 8*o**3 + 9 - 12*o**2 + 14 + 4*o**u.
4*(o - 1)**2*(o + 2)**2
Let d = 9 + -5. Find p such that 2*p**3 - 8*p**2 - d*p - 2 + 2*p**3 + 10 = 0.
-1, 1, 2
Factor 9/4 + 2*v**2 + 73/4*v.
(v + 9)*(8*v + 1)/4
Factor -y**2 - 6*y**2 - 1245*y - 23 + 1221*y + 6*y**2.
-(y + 1)*(y + 23)
Let m be 2*(-20)/24*(-99)/110. Factor 1/4*h**2 + m + 5/4*h.
(h + 2)*(h + 3)/4
Determine i, given that -1 + 9/2*i - 2*i**2 = 0.
1/4, 2
Let w(n) be the first derivative of n**5/10 + 5*n**4/2 + 3*n**3 - 5*n**2 - 19*n/2 + 86. Determine a so that w(a) = 0.
-19, -1, 1
Let y = -7527 + 7529. Factor 4/5*f**3 + 8/5 - 12/5*f + 0*f**y.
4*(f - 1)**2*(f + 2)/5
Let j(w) be the first derivative of -8*w**3/3 - 18*w**2 - 40*w + 76. Let j(y) = 0. Calculate y.
-5/2, -2
Suppose -32*m - w = -28*m - 12, 5*m = 2*w + 28. Factor 0*t + 0*t**3 + 0*t**m + 0*t**2 + 0 + 3/2*t**5.
3*t**5/2
Find p such that 1419*p**4 + 112*p**3 + 1390*p**4 + 144*p**2 + 64*p + 4*p**5 - 2773*p**4 = 0.
-4, -2, -1, 0
Let b be 1*9/(4 + -7). Let n be (-2)/(((-2)/(-6))/(b/63)). Factor n*h**3 + 4/7 - 6/7*h + 0*h**2.
2*(h - 1)**2*(h + 2)/7
Let w be ((-8)/(-15))/(1556/1945). Factor 0*t - w*t**4 - 2/3 + 0*t**3 + 4/3*t**2.
-2*(t - 1)**2*(t + 1)**2/3
Let u(g) = -10*g - 8. Let m be ((-6)/4)/(4/8). Let b(n) = -n**2 - 11*n - 7. Let a(j) = m*u(j) + 2*b(j). Solve a(z) = 0.
-1, 5
Determine i so that -2/15*i**2 - 14/5 + 44/15*i = 0.
1, 21
Let n(p) = 3*p**3 - 55*p**2 + 193*p + 239. Let x(r) = 6*r**3 - 109*r**2 + 385*r + 479. Let f(y) = -7*n(y) + 4*x(y). Factor f(j).
3*(j - 9)**2*(j + 1)
Let s(c) = c + 13. Let r be s(-4). Suppose -11*x - 6 = -r*x, -3*k + 3*x = -9. Factor 10/9*i**4 + 8/9*i**2 + 0*i + 50/9*i**5 + k - 32/9*i**3.
2*i**2*(i + 1)*(5*i - 2)**2/9
Let y = 15 + -11. Suppose 0 = 2*p - 2*b - 20, -y*p - 4*b = 5 - 13. Determine o so that -o + 3*o**2 + 2*o - o - p*o = 0.
0, 2
Suppose -2*r = 2*r + 160. Let m be ((-81)/(-15))/((-12)/r). Factor m*z**2 - 15*z**2 + 3*z - 1 + 1.
3*z*(z + 1)
Let m = 25 - 24. Let a be m/3 - (-5)/3. Factor 3*z**4 - 12*z**3 - a*z**4 - 13*z**2 - 5*z**4 + 5*z**2.
-4*z**2*(z + 1)*(z + 2)
Let c = 31766 - 31766. Determine o, given that -6/7*o**2 - 2/7*o**3 - 4/7*o + c = 0.
-2, -1, 0
Let k = -1/86 - -433/258. Let v = 865/363 - 6/121. Factor -2/3*g + 0 + k*g**2 + v*g**3.
g*(g + 1)*(7*g - 2)/3
Suppose -2*q + 9 = -5*w + 17, 5 = w + 3*q. Let t(i) be the third derivative of 0 + 0*i - 1/24*i**4 + 1/3*i**3 + 2*i**w - 1/60*i**5. Factor t(y).
-(y - 1)*(y + 2)
Let u(n) be the third derivative of 0*n**3 + 0*n**4 + 1/60*n**6 + 0 + 0*n - 4*n**2 + 1/315*n**7 + 1/45*n**5. Factor u(y).
2*y**2*(y + 1)*(y + 2)/3
Find w such that 0 - 2*w**4 + 46/9*w**3 + 2*w**2 - 2/9*w**5 - 44/9*w = 0.
-11, -1, 0, 1, 2
Let y = -11 - -13. Suppose -6 = -4*r + 2*r. Factor -b**2 + 6*b**2 - r*b + b**2 + 9*b**3 + 0*b**y.
3*b*(b + 1)*(3*b - 1)
Let g(l) = 3*l**4 - 5*l**3 + l**2 + 7*l. Let h(v) = 5*v**4 - 5*v**3 + 3*v**2 + 8*v - 2. Let u(p) = -3*g(p) + 2*h(p). Suppose u(t) = 0. Calculate t.
-4, -1, 1
Let o(c) = -c**3 - 2*c**2 + 4. Let w be o(-2). Let q(j) = 2*j - 9. Let k be q(7). Factor -w*p + 3 - 32*p**2 - k + 0*p + 20*p.
-2*(4*p - 1)**2
Let a be (18/45)/((9/(-15))/(-3)). Let i(n) be the third derivative of -1/14*n**7 + 0 + n**3 - 1/8*n**4 - 9/20*n**5 + 0*n + 13/40*n**6 - 3*n**a. Factor i(z).
-3*(z - 1)**3*(5*z + 2)
Let y(l) be the second derivative of l**7/1260 + l**6/540 - 2*l**3/3 - 17*l. Let h(k) be the second derivative of y(k). Factor h(s).
2*s**2*(s + 1)/3
Suppose 7*n = 3*n + 12. Let q be 9/4 - (-2)/(-8). Factor -y**4 + 17 - 17 + q*y**n.
-y**3*(y - 2)
Find m such that 8*m + 0*m + 10 + 39*m**2 - 41*m**2 = 0.
-1, 5
Let y be -17 - -12 - (50/(-6) - -3). Let w(v) be the first derivative of -y*v**3 + 5 + v**2 - v. Let w(g) = 0. What is g?
1
Let a = -589/13 + 2395/52. Factor 1 + a*c - 1/4*c**2.
-(c - 4)*(c + 1)/4
Factor -37*p**2 - 38 - 35*p**2 + 37*p + 101*p**2 - 28*p**2.
(p - 1)*(p + 38)
Suppose 0*g - g - s + 6 = 0, -5*g + 54 = -s. Let i be g + -4 + 1 + -3. Factor -4*y**5 - 4*y**i + 3*y**5 + 2*y**3 + 3*y**5.
2*y**3*(y - 1)**2
Let g(k) be the first derivative of 2/5*k**5 - 2/3