 16*q**3 + 10*q**2 + 10*q - 10. Let l(x) = -4*x**4 + 33*x**3 - 20*x**2 - 18*x + 19. Let m(i) = 2*l(i) + 5*s(i). What is v in m(v) = 0?
-1, 1, 6
Let f(b) = b**2 - 4*b + 6. Let a(x) = 2*x**2 - 7*x + 12. Let z(o) = -3*a(o) + 7*f(o). Let z(i) = 0. What is i?
1, 6
Let l(w) be the third derivative of -w**7/3360 + 3*w**6/160 - 81*w**5/160 + 9*w**4/8 - 29*w**2. Let n(k) be the second derivative of l(k). Factor n(g).
-3*(g - 9)**2/4
Let v = 8791/1800 - 2/225. Let z(k) be the first derivative of -3/4*k**6 + 6*k + 5 - v*k**4 + 9/2*k**3 + 12*k**2 - 39/10*k**5. Solve z(l) = 0.
-2, -1, -1/3, 1
Let p be (1/1 - -2)*17. Let m = 51 - p. Factor m + 0*s**2 + 9/5*s**3 - 3/5*s**4 - 12/5*s.
-3*s*(s - 2)**2*(s + 1)/5
Let m(a) be the first derivative of a**7/840 + a**6/480 - 15*a**2/2 + 8. Let w(k) be the second derivative of m(k). Factor w(d).
d**3*(d + 1)/4
Let h(k) = -3*k - 9. Let p be h(-4). Let c be -8*((-9)/6)/p. Determine d so that -d**4 + 5*d**5 - 2*d**c - 8*d**5 = 0.
-1, 0
Let p(f) be the first derivative of f**7/42 - f**6/5 + 2*f**5/5 + f**4/2 - 3*f**3/2 - 11*f + 7. Let s(l) be the first derivative of p(l). Factor s(i).
i*(i - 3)**2*(i - 1)*(i + 1)
Suppose -8/3*n**3 + 16/3 - 116/9*n + 10*n**2 + 2/9*n**4 = 0. What is n?
1, 4, 6
Let m(w) = 8*w**2 - 12*w - 20. Let n(f) = -f**2 + f. Let u(r) = 2*m(r) + 12*n(r). Determine j so that u(j) = 0.
-2, 5
Let z be (2 - 1)*5/((-40)/(-24)). Let t be z + (-20)/6 + 4 + -2. Factor 2/3*m**4 - t*m**2 + 4/3 + 1/6*m**3 + 1/6*m**5 - 2/3*m.
(m - 1)**2*(m + 2)**3/6
Let o(f) be the first derivative of f**8/5040 + f**7/1260 - f**6/1080 - f**5/180 - 7*f**3 + 31. Let w(v) be the third derivative of o(v). Factor w(b).
b*(b - 1)*(b + 1)*(b + 2)/3
Find r, given that -5/6*r**2 + 0*r + 1/6*r**4 + 2/3*r**3 + 0 = 0.
-5, 0, 1
Suppose 6*u + 25 = 2*i + u, 25 = 3*i - 5*u. Let b(j) be the second derivative of -1/60*j**4 + 2*j - 9/10*j**2 + i + 1/5*j**3. What is o in b(o) = 0?
3
Let y be (8/(-12))/(1 - (-22)/(-18)). Solve -y + 20*c**3 + 3 - 19*c**3 = 0 for c.
0
Let t be (6 + 1/1)*1. Let k(f) be the third derivative of 0*f**3 - 4/15*f**5 + 0 + 0*f - 6/35*f**t + 4*f**2 - 2/5*f**6 + 0*f**4. Find p, given that k(p) = 0.
-2/3, 0
Let x = -3083/2 + 1542. Suppose -s + x*s**2 - 3/2 = 0. Calculate s.
-1, 3
Solve 0 - 9*y**2 - 1692*y**4 + 4 + 1695*y**4 - 6*y - 4 = 0.
-1, 0, 2
Let i(u) = -u**2 + 4*u + 1. Let c be i(3). Let j = 499/1416 + -9/472. Factor 0*b - b**3 + 0 + 4/3*b**c - j*b**2.
b**2*(b - 1)*(4*b + 1)/3
Let v = 19 - 17. Suppose v*y + 3*z = 6*y + 1, 3*y - 4*z + 6 = 0. What is t in -6*t**4 - 6*t**5 + 6*t**3 + 3*t**4 - 2*t**2 + 5*t**y = 0?
-1, -1/2, 0, 1
Let w = 408 - 1222/3. Let -4/3 + 10/3*s**3 - 10/3*s + 2*s**4 - w*s**2 = 0. What is s?
-1, -2/3, 1
Suppose 271*d = 530*d - 270*d + 33. Find o, given that -1 - 7*o**d - 9/2*o - 8*o**2 - 1/2*o**5 - 3*o**4 = 0.
-2, -1
Let l(z) be the third derivative of -2*z**7/105 + z**6/10 + 7*z**5/15 - 5*z**4/2 - 12*z**3 - 2*z**2 + 87*z. Factor l(b).
-4*(b - 3)**2*(b + 1)*(b + 2)
Let k(j) = -j**4 + j**3 + j**2 + 1. Let c(l) = 5*l**5 - 35*l**4 + 25*l**3 + 35*l**2 + 30. Let v(a) = c(a) - 30*k(a). Determine x, given that v(x) = 0.
-1, 0, 1
Find w, given that 2/11*w**3 - 2000/11 - 60/11*w**2 + 600/11*w = 0.
10
Let i(z) be the third derivative of -1/12*z**5 + 0*z + 0*z**3 - 5/24*z**4 + 0 - 7*z**2. Solve i(l) = 0.
-1, 0
Let s = -30 + 48. Factor 78*g**2 + s*g**3 + 48*g + 37*g + 24 - 7*g + 2*g.
2*(g + 3)*(3*g + 2)**2
Let u(i) = i**3 - 4*i**2 + 2*i - 6. Let p be u(4). Factor -32*a - 4*a**p - 46 - 20 + 2.
-4*(a + 4)**2
Let j(b) = -b**3 + 5*b**2 - 3*b + 3. Let k be j(3). Let z be (3/k)/(9/12). Determine y so that -z*y**2 - 4/3 + 4/3*y = 0.
2
Suppose 2*j + 15 = 5*j. Let b(z) be the first derivative of -j + 2/3*z**3 + 1/2*z**2 - 1/4*z**4 - 2*z. Find p such that b(p) = 0.
-1, 1, 2
Suppose 4*o - 3*u = -4, -o + 14 = -u + 4*u. Solve -125*g**2 + 4*g**3 - 4*g**4 - o*g - 2*g + 129*g**2 = 0 for g.
-1, 0, 1
Let l(f) be the third derivative of -13*f**8/280 - 59*f**7/525 + 31*f**6/150 + 22*f**5/75 - 2*f**4/15 + 7*f**2 + 2*f. Determine i, given that l(i) = 0.
-2, -2/3, 0, 2/13, 1
Let w(q) be the first derivative of -3/5*q**5 + 3/2*q**3 - 22 - 3/2*q - 3/8*q**2 + 3/4*q**4 - 3/8*q**6. Suppose w(l) = 0. What is l?
-1, 2/3, 1
Let y(z) be the third derivative of -z**8/112 + z**7/35 - z**5/10 + z**4/8 + 7*z**2 + 6. Factor y(l).
-3*l*(l - 1)**3*(l + 1)
Let f(z) be the first derivative of -4 + 0*z**2 - 3/7*z + 1/7*z**3. Let f(b) = 0. What is b?
-1, 1
Let b be 1*(-2)/(-7) + (-32016)/(-56224). Let v = b + 1/502. Factor 4/7 + 2/7*i**2 + v*i.
2*(i + 1)*(i + 2)/7
Solve -15/4*c**3 + 3/4*c - 9/4*c**4 + 9/4*c**2 + 0 + 3*c**5 = 0.
-1, -1/4, 0, 1
Let f(x) be the third derivative of 1/8*x**4 + 0*x + 0 - 5/6*x**3 - 5*x**2 - 1/80*x**5 - 1/240*x**6. Let s(c) be the first derivative of f(c). Factor s(a).
-3*(a - 1)*(a + 2)/2
Suppose -7*b**3 + 4*b - 6*b**5 + 10*b - 26*b**2 - 2*b + 18*b**4 + 3*b**5 + 8 - 2*b**5 = 0. What is b?
-1, -2/5, 1, 2
Factor 1 + 15/2*x - 17/2*x**2.
-(x - 1)*(17*x + 2)/2
Let i(f) = -11*f**2 - 294*f - 188. Let r be i(-26). Solve -15/2*d**5 - r*d**4 + 20*d**2 + 15*d**3 + 0 - 15/2*d = 0.
-3, -1, 0, 1/3, 1
Let r(p) be the second derivative of p**4/48 - 7*p**3/24 - p**2 + 27*p. Let r(n) = 0. Calculate n.
-1, 8
Suppose 2*p - 28 = 3*n, 3*n = 3*p - 19 - 23. Let m be p/21 + (-20)/(-6). Let x**2 + 0*x**2 + 2*x**m - 3*x**4 = 0. What is x?
-1, 0, 1
Let s(t) = -t**3 - t**2 - t - 1. Let b(k) = k**2 + 4*k - 1 + k**3 - 4*k**3 - 4*k + 3*k. Let d(n) = -2*b(n) + 2*s(n). Solve d(c) = 0 for c.
-1, 0, 2
Let n be 28/(728/39)*5/15. Factor 1/8*o**2 + n - 1/2*o.
(o - 2)**2/8
Find j, given that -1/3*j**2 - 4*j + 13/3 = 0.
-13, 1
Factor 10*f**4 + 5*f**5 - 5*f**3 - 33*f**4 + 28*f**4 - 5*f**2.
5*f**2*(f - 1)*(f + 1)**2
Suppose -2*r - 3*r + k + 35 = 0, -k = -3*r + 19. Suppose r = 4*z - 8. Solve -3*a**z - 2*a**2 + 6*a**4 - a**4 = 0 for a.
-1, 0, 1
Let c(q) be the first derivative of -16*q**3/21 - 9*q**2/7 - 2*q/7 - 94. Factor c(d).
-2*(d + 1)*(8*d + 1)/7
Factor -68*o**3 - 728*o - o**4 - 338 + 190*o**2 - 634*o**2 + 12*o**3 - o**4.
-2*(o + 1)**2*(o + 13)**2
Suppose -9 = 3*k, 3*j = -4*k + 20 - 152. Let f = -38 - j. Factor 1/5*v + 0*v**f - 2/5*v**3 + 0 + 0*v**4 + 1/5*v**5.
v*(v - 1)**2*(v + 1)**2/5
Let c(s) be the third derivative of -s**6/90 + 2*s**5/15 - s**4/2 + 8*s**3/3 + 10*s**2. Let m(l) be the first derivative of c(l). Solve m(o) = 0.
1, 3
Let g(b) be the first derivative of -27*b**4/2 + 16*b**3 - 4*b**2 + 9. Find h, given that g(h) = 0.
0, 2/9, 2/3
Let t = 14 - 12. Let f(g) = 0*g + 16 - 7*g**t - 7*g + 18*g + 20*g. Let h(s) = -2*s**2 + 8*s + 4. Let v(u) = -6*f(u) + 22*h(u). Find m, given that v(m) = 0.
-4, -1
Let m be 3/6*10/18 + (-20)/(-90). Solve s**4 - m*s**2 - 7/4*s + 11/4*s**3 - s**5 - 1/2 = 0 for s.
-1, -1/2, 1, 2
Let f be (5 + 3)*(-3 + 5)/8. Determine y, given that -f*y**4 - 4*y**3 - 12*y**2 + 12*y**2 = 0.
-2, 0
Let t(u) be the third derivative of u**8/504 + 2*u**7/315 + u**6/180 - 7*u**2 - 2*u. Factor t(k).
2*k**3*(k + 1)**2/3
Let n = -23 + -97. Let f be (-270)/n*4/6. Find p such that f*p**2 + 3 + 9/2*p = 0.
-2, -1
Let h = -4175 - -12526/3. Let q = -56/3 + 19. Let -q*z**4 + 0 + 0*z**2 - h*z**5 + 0*z + 2/3*z**3 = 0. What is z?
-2, 0, 1
Let y be 120/4*(-6)/9. Let z be ((-32)/y)/(2/5). What is n in 12*n**3 + 18*n**2 + 3 + 5*n - 5*n**z + 8*n**4 + 7*n = 0?
-1
Factor 0 + 14/15*r**4 + 0*r - 16/3*r**3 + 88/15*r**2 + 2/15*r**5.
2*r**2*(r - 2)**2*(r + 11)/15
Let h(d) be the third derivative of d**5/45 - 31*d**4/18 + 150*d**2. Factor h(j).
4*j*(j - 31)/3
Suppose 0 = -101*s + 86*s. Let i(r) be the first derivative of -26*r**4 + 12*r**2 + s*r + 7 - 28/5*r**5 - 52/3*r**3. Factor i(b).
-4*b*(b + 1)*(b + 3)*(7*b - 2)
Let j be (-31)/(-2)*(-5)/((-5)/2). Suppose 0 = -29*t + j*t. Factor 0*o**2 - 1/5*o + 1/5*o**3 + t.
o*(o - 1)*(o + 1)/5
Let r be (6 - -9)/(9/6) + 5. Let r + 5/2*t - 5/2*t**2 = 0. What is t?
-2, 3
Let q(f) be the first derivative of 3/4*f**4 - 6*f**3 + 0*f + 12*f**2 + 5. Factor q(v).
3*v*(v - 4)*(v - 2)
Let a(p) be the third derivative of 1/90*p**5 + 0*p - 13*p**2 + p**3 + 0 - 1/6*p**4. Factor a(v).
2*(v - 3)**2/3
Let w(b) be the first derivative of -15/8*b + 3/4*b**2 + 1/8*b**3 - 19. Suppose w(u) = 0. Calculate u.
-5, 1
Suppose 35*g + 513 = 583. Factor -1/10*b**4 + 1/10*b