- 3*d = 0.
0, 2
Let p(t) be the third derivative of t**5/15 + 8*t**4/3 + 110*t**3/3 + 3*t**2 - 10. Suppose p(x) = 0. What is x?
-11, -5
Let r(l) be the first derivative of 2*l**5 - 3*l**4/2 - 5*l**3/3 + l - 16. Let x(w) = -w**3 + w**2 + w - 1. Let b(p) = -r(p) - x(p). Solve b(z) = 0 for z.
-1/2, 0, 1/5, 1
Let s be (63/(-6))/(14/(-4)). Let 0 + 18*j**2 - 27/4*j**s + 3/4*j**4 - 12*j = 0. What is j?
0, 1, 4
Let h(k) = -8*k**3 + k - 1. Let g be h(1). Let m = 25/3 + g. Factor 0*o - m + 1/3*o**2.
(o - 1)*(o + 1)/3
Let m(z) be the first derivative of -z**5/15 - z**4/3 - 5*z**3/9 - z**2/3 - 116. Factor m(s).
-s*(s + 1)**2*(s + 2)/3
Let r = 6539/8676 - 8/2169. Let 18*d**2 - 6*d**3 + 12 - 24*d + r*d**4 = 0. Calculate d.
2
Let l(z) be the second derivative of 5/2*z**3 + 1/20*z**5 - 7/12*z**4 - 9/2*z**2 + 0 - 7*z. Factor l(v).
(v - 3)**2*(v - 1)
Let w(g) be the third derivative of -g**3 - 17/60*g**5 + 11*g**2 - 7/120*g**6 + 0*g - 1/210*g**7 - 17/24*g**4 + 0. Find r such that w(r) = 0.
-3, -2, -1
Let i(p) be the third derivative of -p**7/105 - 3*p**6/10 - 97*p**5/30 - 12*p**4 - 64*p**3/3 + 142*p**2. Solve i(h) = 0 for h.
-8, -1
Let z(t) = 7*t - 4. Let h be z(2). Determine l, given that 8*l**3 - 3*l**3 + 3*l**5 + 2*l**5 + h*l**4 = 0.
-1, 0
Suppose 549*w**2 + 213*w**2 + 27706*w + w**3 + w**3 - 124480*w - 4*w**3 + 4096766 = 0. Calculate w.
127
Let o(c) = -3*c**2 + 115*c - 332. Let n(d) = 80*d**2 - 3100*d + 8965. Let m(j) = 2*n(j) + 55*o(j). Suppose m(l) = 0. What is l?
3, 22
Let c(a) be the third derivative of 1/30*a**6 + 4/3*a**3 - 2*a**2 - 1/6*a**4 + 2/105*a**7 + 0 + 0*a - 1/5*a**5. Determine u so that c(u) = 0.
-2, -1, 1
Let b(h) = -10*h - 487. Let c be b(-49). Let w(n) be the second derivative of 7/6*n**4 + 1/10*n**5 + 11/3*n**c + 0 - 3*n + 5*n**2. Factor w(r).
2*(r + 1)**2*(r + 5)
Let n be (-1)/(-1 + 2)*(47 - 47). Suppose -6*y = -2*i - 5*y + 1, n = 2*i - 3*y - 3. Factor -2/9*p**2 + i*p + 2/9*p**4 - 2/9*p**5 + 2/9*p**3 + 0.
-2*p**2*(p - 1)**2*(p + 1)/9
Let j(k) = k**3 + 2*k + 1. Let c(r) = 7*r**3 - 10*r**2 - 12*r + 6. Let i(u) = -5*c(u) + 30*j(u). Factor i(m).
-5*m*(m - 12)*(m + 2)
Let z(s) = -s**3 + 10*s**2 + s - 8. Let n be z(10). Suppose j**2 + 11*j**n + 63 + 8*j - 63 + 4*j**3 = 0. Calculate j.
-2, -1, 0
Suppose -28 = 4*i - 2*i - 2*c, 5*i = -3*c - 38. Let r = i + 17. Factor r*a**3 + 3*a**3 - 4*a**3 - 6*a + a**4 + 3 - 4*a**4.
-3*(a - 1)**3*(a + 1)
Let c be (-45)/9 - (3 + -8). Let z(x) be the second derivative of -1/5*x**6 + 0*x**5 + 0*x**2 + c*x**3 + 4*x + 0 + 2/21*x**7 + 1/6*x**4. Factor z(l).
2*l**2*(l - 1)**2*(2*l + 1)
Let o(k) be the third derivative of k**8/784 - 3*k**7/490 + k**6/280 + 3*k**5/140 - k**4/28 + 5*k**2 - 5. Suppose o(m) = 0. What is m?
-1, 0, 1, 2
Let d(g) be the first derivative of -g**4/12 - 2*g**3/9 + 11*g**2/6 + 4*g - 92. Suppose d(m) = 0. What is m?
-4, -1, 3
Let l be (-93)/(-84) - (-1)/(-4). Let m be 18/(-48) + (-266)/(-112). Factor -20/7*y - 6/7 - l*y**m.
-2*(y + 3)*(3*y + 1)/7
Suppose 2384 = -b + 17*b. Factor 18*u - 82 - 46 - 3*u**2 + b.
-3*(u - 7)*(u + 1)
Let i(k) = k**3 - k**2 + k. Let s(p) = p**4 - 7*p**3 + 6*p**2 - 2*p. Let v(r) = -2*i(r) - s(r). Find b, given that v(b) = 0.
0, 1, 4
Let n be 0 + (-1)/((-3)/(-45)). Let q = -14 - n. Solve -s**2 - 2 + 5*s**2 + q - 3 = 0 for s.
-1, 1
Find n, given that -6 + 24/7*n**2 - 15/7*n - 3/7*n**3 = 0.
-1, 2, 7
Let u(r) be the second derivative of -47089*r**4/144 + 217*r**3/18 - r**2/6 + 2*r - 71. Factor u(y).
-(217*y - 2)**2/12
Let c(j) = j**3 + 7*j**2 + 5*j - 4. Let s be c(-4). Suppose 3*l + 18 = 6*l. Solve 3 - s*w**2 + l*w - 3 - 4 + 22*w**2 = 0 for w.
1, 2
Let y(b) be the third derivative of b**8/47040 + b**7/3920 - 3*b**5/20 - 6*b**2. Let x(j) be the third derivative of y(j). Factor x(m).
3*m*(m + 3)/7
Let k(s) = s**3 - 6*s**2 - s + 6. Let p be (-63)/(-12) - (-12)/16. Let y be k(p). Factor y*z + 2*z - 3 + 5 + 2*z**2 - 6*z.
2*(z - 1)**2
Let q(j) be the third derivative of j**6/30 - j**5/15 - 14*j**2. Solve q(w) = 0.
0, 1
Let r be (-10 - -7)*(24/(-90) + 0). Determine g so that -2/5 + 1/5*g**3 + g - r*g**2 = 0.
1, 2
Let g(w) be the first derivative of -3*w**5/5 + 6*w**4 - 18*w**3 + 24*w**2 - 15*w - 106. Suppose g(y) = 0. What is y?
1, 5
Let j be 8/3*27/36. Let -4*c**j - 6*c**2 + 5 - 1 + 9*c**2 + 3*c = 0. Calculate c.
-1, 4
Suppose -9*c + 816 = -3*c. Factor -7*l**2 + c*l**2 - 38*l**2 - 16*l**2 + 48 - 120*l.
3*(5*l - 4)**2
Suppose 0 = -11*x + 5*x + 36. Suppose 0 = -2*f + 4*k - 6, 5*k = -2*f + 5*f + x. Let 0*t**f + 0 + 3/7*t**4 + 0*t - 3/7*t**2 = 0. Calculate t.
-1, 0, 1
Suppose -3*u + 14 = -4*z, 0*u - z - 10 = -4*u. Find a such that a**2 - a**2 + a**3 + 1 - 3*a**u + 1 + a**4 - a = 0.
-2, -1, 1
Factor -1 + v**2 + 5/2*v - 5/2*v**3.
-(v - 1)*(v + 1)*(5*v - 2)/2
Let z(k) be the second derivative of -3*k + 0 + 5/2*k**2 - 1/2*k**4 - 4/3*k**3 - 1/15*k**5. Let n(s) be the first derivative of z(s). Let n(i) = 0. What is i?
-2, -1
Let m(f) = -5*f**2 + 7*f + 37. Let w(d) = -5*d**2 + 8*d + 38. Let n(s) = -2*m(s) + 3*w(s). Let n(i) = 0. What is i?
-2, 4
Factor 2*z**2 + 325 - 645 - 2*z**3 + 320 + 4*z.
-2*z*(z - 2)*(z + 1)
Factor 0 + 2/5*n**4 + 48/5*n - 12/5*n**3 - 8/5*n**2.
2*n*(n - 6)*(n - 2)*(n + 2)/5
Let c(q) be the second derivative of 6*q**7/49 + 4*q**6/5 - 11*q**5/5 - 6*q**4/7 + 136*q**3/21 - 48*q**2/7 + 13*q - 3. What is m in c(m) = 0?
-6, -1, 2/3, 1
Suppose -5*n = -3*t - 186, 5*n - 104 = 2*n - 2*t. Let q = 40 - n. What is b in -4/15*b**3 + 0 + 0*b - 2/15*b**q - 2/15*b**2 = 0?
-1, 0
Let d be (6 + -3)/(((-4)/(-1))/40). Let o be 2/d - 18/(-30). Factor -4/9 + 2/9*b**4 - o*b**2 + 2/9*b**3 - 10/9*b.
2*(b - 2)*(b + 1)**3/9
Let r(y) be the second derivative of -y**6/3240 + y**5/216 + 19*y**3/6 - 34*y. Let h(f) be the second derivative of r(f). Factor h(t).
-t*(t - 5)/9
Let w(l) be the third derivative of 5*l**9/3024 - l**7/56 + l**6/36 - 2*l**3/3 + 5*l**2. Let j(t) be the first derivative of w(t). Factor j(q).
5*q**2*(q - 1)**2*(q + 2)
Let a(j) = j**2 + 34*j - 33. Let n be a(-35). Suppose -11 = -3*p + 34. What is f in -p - 17 - 2*f - f**n + 31 = 0?
-1
Let p(q) be the second derivative of -q**4/4 - 17*q**3/2 - 78*q**2 - 243*q + 3. Find u, given that p(u) = 0.
-13, -4
Let d(j) be the second derivative of 8*j**7/105 + j**6/10 - j**5/3 - j**4/2 + 2*j**3/3 - 6*j**2 - 6*j. Let q(u) be the first derivative of d(u). Factor q(y).
4*(y - 1)*(y + 1)**2*(4*y - 1)
Let j = 10534 + -73726/7. Let j*l + 12/7 + 3/7*l**2 = 0. Calculate l.
-2
Let k = 9824/7 + -1403. Suppose -k*l**2 + 12/7 + 0*l = 0. Calculate l.
-2, 2
Suppose -347 = -129*l + 169. Determine g, given that -6/5*g**3 - 2/5*g**l + 16/5 + 24/5*g + 4/5*g**2 = 0.
-2, -1, 2
Factor -36/5*n + 4/5*n**2 + 4/5*n**3 - 36/5.
4*(n - 3)*(n + 1)*(n + 3)/5
Let v be -1*(-265)/25 - 2/(-5). Let n(x) = x**3 + 6*x**2 - x. Let t(z) = -6*z**3 - 31*z**2 + 4*z. Let w(r) = v*n(r) + 2*t(r). Factor w(p).
-p*(p - 3)*(p - 1)
Factor -22/7*y + 20/7 + 2/7*y**2.
2*(y - 10)*(y - 1)/7
Let x(o) be the first derivative of o**6/840 - o**5/28 + 2*o**4/7 + 32*o**3/21 + 7*o**2 - 38. Let k(a) be the second derivative of x(a). Solve k(d) = 0 for d.
-1, 8
Let a(k) be the first derivative of 2*k**2 + 0*k + 4/3*k**3 - 26. Find y such that a(y) = 0.
-1, 0
Let w(g) = g**2 + g + 1. Let m(c) = -5*c**3 - 30*c**2 - 50*c - 20. Let p = -114 + 113. Let d(k) = p*m(k) + 5*w(k). Factor d(u).
5*(u + 1)**2*(u + 5)
Let u(t) be the third derivative of t**8/1344 - t**7/210 + t**6/180 - 5*t**4/12 - 14*t**2. Let a(g) be the second derivative of u(g). Factor a(w).
w*(w - 2)*(5*w - 2)
Let m(u) be the first derivative of 2*u**3/39 - 12*u**2/13 - 2*u - 68. Determine v so that m(v) = 0.
-1, 13
Let r(v) be the third derivative of v**5/330 - 5*v**4/33 + 100*v**3/33 - 9*v**2 - 5*v. Factor r(k).
2*(k - 10)**2/11
Suppose -274*j**2 + 314*j + 246*j**3 + 31*j**2 + 85*j + 3*j**5 - 237*j**2 - 48*j**4 - 120 = 0. What is j?
1, 5, 8
Factor 27/8*a + 0 + 3*a**2 - 3/8*a**3.
-3*a*(a - 9)*(a + 1)/8
Suppose -5*w = z - 3151, 0*w + 2*w + 5*z = 1242. Factor 613 - 6*r**2 - w - 15*r + 3*r**2.
-3*(r + 2)*(r + 3)
Suppose 16*f = 7*f - f. Let i(n) be the third derivative of -8*n**2 - 1/60*n**5 + f + 1/6*n**4 + 0*n - 2/3*n**3. Find x, given that i(x) = 0.
2
Suppose 6*x + 3 = 15. Factor 6*l**x - 3*l**5 - l**5 - 4*l**2 + 5*l**5 - 3*l**3.
l**2*(l - 1)**2*(