h that w(b) = 0.
-1, 0
Let b = -54 + 58. Let -2*n**4 - n**b - 24*n + 18*n**2 - 382 + 391 = 0. What is n?
-3, 1
Let y(w) be the second derivative of 3/4*w**5 + 0*w**3 + 3/4*w**4 + 7/30*w**6 + 3*w + 0*w**2 + 0 + 1/42*w**7. Factor y(n).
n**2*(n + 1)*(n + 3)**2
Factor 0 - 88/5*s - 4/5*s**3 + 52/5*s**2.
-4*s*(s - 11)*(s - 2)/5
Let m(j) = 10*j**4 + 100*j**3 - 115*j**2 + 5*j - 10. Let k(o) = -9*o**4 - 102*o**3 + 115*o**2 - 4*o + 8. Let a(v) = 5*k(v) + 4*m(v). What is t in a(t) = 0?
-23, 0, 1
Let j be 2*2 - (-10 + 11). Let 19*a - 12*a**5 + 1 + 39*a**3 + j*a**2 + 5 - 9*a**4 - 46*a = 0. What is a?
-2, -1, 1/4, 1
Let f(y) be the second derivative of -y**7/21 + 2*y**6/5 - 7*y**5/10 - y**4 + 8*y**3/3 - 23*y - 3. Let f(c) = 0. What is c?
-1, 0, 1, 2, 4
Let h(p) be the second derivative of -p**5/2 - 35*p**4/24 - 5*p**3/6 - 18*p**2 + 26*p. Let b(c) be the first derivative of h(c). What is i in b(i) = 0?
-1, -1/6
Suppose -5*x + 2 = -2*g, -3*g + 3 = -4*x - 1. Suppose 4*w + 5*m = 7, -3*m + 5 - 2 = x*w. What is q in 6*q**w + q**4 + q**4 + 0*q**2 - 6*q + 2*q**2 - 4 = 0?
-2, -1, 1
Let k(h) = -h**3 - 46*h**2 + 308*h - 400. Let n(s) = 15*s**2 - 102*s + 135. Let w(o) = -3*k(o) - 8*n(o). What is l in w(l) = 0?
-10, 2
Let o(b) be the first derivative of -b**6/3 - 22*b**5 - 835*b**4/2 - 4370*b**3/3 - 2080*b**2 - 1352*b - 247. Factor o(k).
-2*(k + 1)**3*(k + 26)**2
Let j(r) be the first derivative of r**3/3 + r**2 - 6*r + 16. Let u be j(2). Solve 2/5*t**u + 18/5 + 12/5*t = 0.
-3
Let d = -4 - -6. Let h be ((-3)/(-12))/(d/16). Factor 5*p - 2*p**3 + p - 7*p**2 + 16*p**h + 5*p**3.
3*p*(p + 1)*(p + 2)
Let a(s) be the second derivative of 0 + 1/9*s**4 + 1/6*s**2 - 5/18*s**3 - 39*s. Solve a(n) = 0 for n.
1/4, 1
Find r, given that -10/3*r - 1/9*r**4 + 31/9*r**2 + 0*r**3 + 0 = 0.
-6, 0, 1, 5
Suppose 8*b - 32 = 7*b. Let q = b - 30. Factor -20 + q*l**4 - 12 - 4*l**4 + 16*l**2.
-2*(l - 2)**2*(l + 2)**2
Let w(v) be the second derivative of -v**5/4 + 5*v**4/4 - 5*v**3/2 + 5*v**2/2 - 104*v. Determine x, given that w(x) = 0.
1
Let o(f) = -3*f**2 + 15*f - 7. Let k(j) = -j**2 - 14*j - 20. Let g be k(-12). Let h be o(g). Factor -2/3*v**h - 2/3 + 4/3*v**2 - 2/3*v**4 - 2/3*v + 4/3*v**3.
-2*(v - 1)**2*(v + 1)**3/3
Let t(r) = r - 1. Let o(x) = -x**2 + 6*x - 4. Let w be (2 - -1)/((-21)/56). Let c be (w/(-12))/((-4)/(-6)). Let k(d) = c*o(d) - 4*t(d). Factor k(m).
-m*(m - 2)
Suppose 0*f + 2*f + 3*k = 11, 5 = 5*k. What is y in 5*y**f + 690 + 5*y**5 - 690 = 0?
-1, 0
Factor -4*r**4 + 163*r**2 - 198*r**2 - 13*r**2 + 52*r**3.
-4*r**2*(r - 12)*(r - 1)
Let 265*h**3 - 5*h**5 + 112*h**4 + 98 + 13*h**5 + 28*h**2 - 110*h**2 - 266*h + 121*h**3 = 0. Calculate h.
-7, -1, 1/2
Let v = -1799/24 + 75. Let b(y) be the second derivative of 0 + 0*y**2 - 1/60*y**6 + v*y**4 - 1/12*y**3 - 5*y + 1/40*y**5. Determine m, given that b(m) = 0.
-1, 0, 1
Let y(w) be the second derivative of -1/3*w**4 + 0 + 2/15*w**6 + 0*w**2 + 11*w + 1/5*w**5 + 0*w**3 - 2/21*w**7. Determine o, given that y(o) = 0.
-1, 0, 1
Let i(h) be the first derivative of -h**5/60 - h**4/9 + 5*h + 2. Let s(g) be the first derivative of i(g). Factor s(b).
-b**2*(b + 4)/3
Let c be ((-1)/(-7))/((-4)/(-14))*(-104 + 104). Factor c - 1/5*j - 1/5*j**2.
-j*(j + 1)/5
Let p(z) = -z**3 + z**2 + z + 7. Let a be p(0). Suppose 0*u = -5*u + a*u. What is l in 0*l + u - 2/3*l**2 + 2/3*l**3 = 0?
0, 1
Suppose 0 - 27/5*b**2 - 24/5*b - 3/5*b**3 = 0. What is b?
-8, -1, 0
Let i(g) be the second derivative of g**6/105 - g**5/14 + 4*g**4/21 - 4*g**3/21 + 32*g - 2. What is l in i(l) = 0?
0, 1, 2
Find o, given that 1/4*o**2 + 4900 - 70*o = 0.
140
Let z(q) be the second derivative of -q**7/280 - 3*q**6/160 - q**5/40 + 39*q**2/2 - 6*q. Let w(b) be the first derivative of z(b). Solve w(m) = 0.
-2, -1, 0
Let l(m) be the first derivative of 2/7*m**3 + 10 - 5/14*m**4 + 2/35*m**5 + 5/7*m**2 - 8/7*m. Find r such that l(r) = 0.
-1, 1, 4
Let o be 91/(-98)*(-16)/52. Factor 0 + 2/7*z**2 - o*z.
2*z*(z - 1)/7
Factor 6*l + 8*l + 20*l + 2*l - 21*l**2.
-3*l*(7*l - 12)
Suppose -22*p - 5 + 9 + 40 = 0. Factor 0*m + 2/9*m**4 + 0 + 0*m**3 + 8/9*m**5 + 0*m**p.
2*m**4*(4*m + 1)/9
Let t be ((0 - -10)/360)/(1/3). Let q(g) be the second derivative of 1/8*g**4 - t*g**3 - 3/40*g**5 + 5*g + 0*g**2 + 0 + 1/60*g**6. Find o such that q(o) = 0.
0, 1
Let k(h) = -22*h - 130. Let q be k(-6). Suppose 0 + 1/7*x**3 - 2/7*x**q + 1/7*x = 0. What is x?
0, 1
Factor -56/3*a - 56/3*a**2 + 32/3 - 10/3*a**3.
-2*(a + 2)*(a + 4)*(5*a - 2)/3
Let m(f) be the first derivative of 0*f**2 + 0*f + 1/8*f**4 - 1/360*f**6 + 2 - 5/3*f**3 - 1/60*f**5. Let k(x) be the third derivative of m(x). Factor k(l).
-(l - 1)*(l + 3)
Let b = -9/395 - -431/1580. Determine i, given that b*i**3 + 1/4*i**4 - 1/4*i + 0 - 1/4*i**2 = 0.
-1, 0, 1
Let x(u) be the second derivative of -u**3 - 4*u**2 + 1/6*u**4 + 0 + 2*u. Let x(g) = 0. Calculate g.
-1, 4
Let k(i) be the first derivative of i**6/1980 - i**5/220 + i**4/66 - 4*i**3 + 7. Let y(g) be the third derivative of k(g). Solve y(z) = 0.
1, 2
Let w be 8 + (2024/24)/(-11). Let q(d) be the first derivative of 0*d**2 + 4/3*d**3 + 0*d + 1/2*d**4 - w*d**6 - 4/5*d**5 + 2. Let q(s) = 0. Calculate s.
-2, -1, 0, 1
Suppose -19*d + 25 = -18*d. Let c be d/28 - 12/16. Factor 0 + 0*n**2 + 0*n + c*n**4 - 1/7*n**5 + 2/7*n**3.
-n**3*(n - 2)*(n + 1)/7
Let f = -5/627 - -3359/1881. Solve -4/3*w**2 + 4/9*w**3 + f + 0*w = 0 for w.
-1, 2
Let s(f) = -33*f**2 - 41*f + 2. Let u(z) = -33*z**2 - 40*z + 1. Let h(v) = -4*s(v) + 5*u(v). Factor h(t).
-3*(t + 1)*(11*t + 1)
Let v(s) be the second derivative of s**7/420 + 2*s**6/75 + 13*s**5/200 + s**4/20 - 350*s. Factor v(g).
g**2*(g + 1)**2*(g + 6)/10
Suppose 5*j - 50 = 5*r, -4*j + 0*r = -5*r - 38. Suppose v + v - j = 0. Factor -1 - v*q**2 + 3*q**2 - 6*q - 2.
-3*(q + 1)**2
Let j(v) be the first derivative of -v**6/36 - 8*v**5/15 - 8*v**4/3 + 76. Suppose j(s) = 0. What is s?
-8, 0
Let o(r) be the first derivative of r**3/9 - r**2/6 - 10*r - 100. Determine m, given that o(m) = 0.
-5, 6
Let c be (-333)/(-63) - 2/7. Let -1 + c*r**2 - 12*r + 4*r + 3 + r**2 = 0. Calculate r.
1/3, 1
Suppose 0 = -x + 7*x - 336. Let t be (3 - x/(-6)) + -3. Factor -23*g**3 - 70/3*g**4 - 25/3*g**5 - t*g**2 + 0 - 4/3*g.
-g*(g + 1)**2*(5*g + 2)**2/3
Let g(w) be the first derivative of -15 + 0*w**2 + 1/15*w**3 - 4/5*w. Factor g(s).
(s - 2)*(s + 2)/5
Let y be 26 - ((-7)/9 + (-8)/36). Solve 56*a**4 - y*a**4 + 6*a**3 - 27*a**4 + 4*a**2 = 0 for a.
-2, -1, 0
Let i(b) be the third derivative of 1/180*b**5 + 0 - 2*b**2 + 1/6*b**3 + 0*b - 1/540*b**6 + 1/18*b**4. Let w(k) be the first derivative of i(k). Solve w(p) = 0.
-1, 2
Factor 2/7*k**5 + 4/7*k + 18/7*k**3 - 10/7*k**4 - 2*k**2 + 0.
2*k*(k - 2)*(k - 1)**3/7
Let f(l) be the third derivative of 1/70*l**6 - 2/105*l**5 + 3*l**2 + 1/84*l**4 + 0*l + 0*l**3 + 0 - 4/735*l**7 + 1/1176*l**8. Factor f(w).
2*w*(w - 1)**4/7
Let h(l) = 3*l + 40. Let w be h(-12). Suppose 2*x - w = -2*v + 10, 4*x - 2*v - 16 = 0. Factor -24/5*k**3 + 0 + 16/5*k**4 - 4/5*k - 4/5*k**x + 16/5*k**2.
-4*k*(k - 1)**4/5
Suppose 0 = -3*i + m - 6 + 24, -3*i + 9 = 2*m. Let p be ((-5)/4 - i/(-20)) + 4. Factor -12/5*x**p + 0 - 3*x**2 - 3/5*x.
-3*x*(x + 1)*(4*x + 1)/5
Let h be (9 - 9)*3/9*-3. Let g(c) be the third derivative of 2*c**2 + h + 0*c + 3/10*c**3 - 1/100*c**5 - 1/20*c**4. Factor g(u).
-3*(u - 1)*(u + 3)/5
Solve -20/9*i**2 - 2/9*i**3 - 46/9*i - 28/9 = 0.
-7, -2, -1
Suppose -2*f + 2 = -0, -2*f = -3*c + 4. Solve 5*i**3 - 4*i**3 + 5*i**2 - c*i**2 - 4*i**2 = 0.
0, 1
Let u(h) be the first derivative of 0*h**3 + 0*h**2 + 1/60*h**5 + 5*h - 1/36*h**4 + 9. Let t(y) be the first derivative of u(y). Factor t(r).
r**2*(r - 1)/3
Let b = 2449411/4956 + 23/1239. Let k = b - 489. Determine v, given that 3/2*v**4 - 3/2 - k*v - 6*v**2 + 3/4*v**5 - 3/2*v**3 = 0.
-1, 2
Let z(h) be the first derivative of -20*h**6/9 - 4*h**5 + 35*h**4/6 + 35*h**3/9 - 15*h**2/2 + 10*h/3 - 50. Suppose z(q) = 0. What is q?
-2, -1, 1/2
Let q = 50 - -4. Let x be (-90)/105 + q/14. Factor x*d - 15/2*d**2 + 0.
-3*d*(5*d - 2)/2
Let r(y) be the third derivative of y**8/60480 - y**7/7560 - 13*y**5/60 - 13*y**2. Let i(c) be the third derivative of r(c). Suppose i(h) = 0. Calculate h.
0, 2
Let f(m) be the second derivative of -26*m - 5/32*m**5 - 1/336*m**7 - 7/12*m*