 0*l**5 + 0*l. Determine u so that s(u) = 0.
0, 1
Solve 119*c - 259*c + 92*c - 4*c**2 - 144 = 0 for c.
-6
Let o(l) be the first derivative of 5*l**3/3 - l + 3. Let j be o(1). Find z, given that 0*z + 1/3*z**2 + 1/3*z**3 - 1/3*z**5 + 0 - 1/3*z**j = 0.
-1, 0, 1
Let n(q) be the first derivative of -3*q**5/5 - 9*q**4/2 - 9*q**3 - 13. Determine j so that n(j) = 0.
-3, 0
Let f(w) be the third derivative of w**6/360 - w**5/120 + w**3/3 - w**2. Let q(g) be the first derivative of f(g). What is b in q(b) = 0?
0, 1
Let o(g) be the third derivative of -g**5/60 - g**4/24 + g**3/6 + 5*g**2. Let f(z) = 2*z**2 + 5*z. Let x(h) = 2*f(h) + 6*o(h). Factor x(c).
-2*(c - 3)*(c + 1)
Let n = 2315/3 - 771. Factor -n*w**2 - 2/3 + 4/3*w.
-2*(w - 1)**2/3
Let o = -204/13 + 421/26. Factor -o*m - 1/4 - 1/4*m**2.
-(m + 1)**2/4
Let x(f) be the third derivative of -f**5/330 + f**4/44 + 4*f**3/33 - 11*f**2 + 2*f. Factor x(r).
-2*(r - 4)*(r + 1)/11
Let o(x) = x**3 - 16*x**2 - 19*x + 37. Let k be o(17). Let a(z) be the first derivative of -z - 1/5*z**5 - 2 + 0*z**2 + 0*z**4 + 2/3*z**k. Factor a(i).
-(i - 1)**2*(i + 1)**2
Let l = -1 - -5. Determine v, given that -l*v - 6*v + 3*v**2 - 2*v + 9 = 0.
1, 3
Factor -6*p - 2*p + 49 - 3*p + p**2 - 3*p.
(p - 7)**2
Factor -3/2*d**3 + 1/2*d**5 + d + 0 + 1/2*d**2 - 1/2*d**4.
d*(d - 2)*(d - 1)*(d + 1)**2/2
Let t(b) be the first derivative of -7*b**3 + 4*b + 1 - 1 - 1 + 2*b**2 - 6*b**2. Find y such that t(y) = 0.
-2/3, 2/7
Let p(j) be the third derivative of -j**5/20 - j**4 - 8*j**3 - 3*j**2. Factor p(h).
-3*(h + 4)**2
Let p = 6 - -16. Let k = 7 - 3. Factor 0 + 1 - 48*d**2 - 5 + p*d + 52*d**3 - 28*d**k + 6*d**5.
2*(d - 1)**4*(3*d - 2)
Let r(z) be the first derivative of z**3/6 + z**2 + 2*z + 9. Let r(j) = 0. What is j?
-2
Determine t, given that 114/5*t**3 - 147/5*t**2 + 36/5 - 3*t**4 + 12/5*t = 0.
-2/5, 1, 6
Suppose 3*n + 3 = 5*q - 1, 0 = 5*q - 4*n - 2. Let r = 4 - q. Factor -1 + 2*j**r - 2*j**2 - j**4 + 2*j**2.
-(j - 1)**2*(j + 1)**2
Let k(o) be the first derivative of o**6/7 + 6*o**5/5 + 27*o**4/7 + 44*o**3/7 + 39*o**2/7 + 18*o/7 + 3. Let k(i) = 0. What is i?
-3, -1
Factor 54*u**2 + 15*u**3 + 81*u + 81/2 + 3/2*u**4.
3*(u + 1)*(u + 3)**3/2
Suppose -g - g = -8. Let a = 0 + g. Factor -p - 2*p**5 - 2*p**3 + 4*p**a + p - 8*p**4.
-2*p**3*(p + 1)**2
Let f be (-18)/(-3)*(-4)/(-3). Factor -16 + 6*q - 38*q - 9*q**4 + 21*q**3 + 3*q**3 + f*q**2 + 0*q**2.
-(q - 2)**2*(3*q + 2)**2
Suppose -2*l**2 + 8 - l**3 + l**5 - 7 + 2*l**4 - 1 = 0. What is l?
-2, -1, 0, 1
Suppose -j = -3*j. Let a(o) be the second derivative of 0*o**2 + 5/84*o**7 + 1/8*o**4 - 1/20*o**6 + 1/6*o**3 + j - 7/40*o**5 - o. Determine x so that a(x) = 0.
-1, -2/5, 0, 1
Let i(d) be the third derivative of d**5/20 - d**4 + 8*d**3 + 3*d**2. Find y, given that i(y) = 0.
4
Let p(z) be the first derivative of 2*z**6/3 - 8*z**5/5 - 8*z**4 - 8*z**3/3 + 14*z**2 + 16*z + 18. Solve p(c) = 0 for c.
-1, 1, 4
Let f(h) be the third derivative of -h**8/2520 - h**7/1890 - h**6/3240 - h**5/12 - 2*h**2. Let y(j) be the third derivative of f(j). Find i such that y(i) = 0.
-1/6
Let g(h) be the third derivative of -3/20*h**6 + 1/6*h**4 - 1/6*h**5 - 5*h**2 + 0*h**3 + 1/21*h**7 + 1/24*h**8 + 0 + 0*h. Determine j so that g(j) = 0.
-1, 0, 2/7, 1
Let s = 22 + -1. Let f be (-60)/(-14) - 6/s. Factor -3*r - 4*r - 2*r**f + r - 2*r**2 + 4 + 0*r + 6*r**3.
-2*(r - 2)*(r - 1)**2*(r + 1)
Let h(g) = 0 + 4*g**2 + 1 - 7*g + 6. Let r(x) = -9*x**2 + 15*x - 15. Let v be (-5 - 2)*3/(-3). Let j(c) = v*h(c) + 3*r(c). Solve j(y) = 0.
2
Let k(c) be the second derivative of c**7/84 + 7*c**6/60 + 2*c**5/5 + c**4/3 - 4*c**3/3 - 4*c**2 - 3*c - 2. Factor k(v).
(v - 1)*(v + 2)**4/2
Factor -4*s**5 - 22*s**3 + 97*s - 77*s + 6*s**3 - 16*s**4 + 8*s**2 + 8.
-4*(s - 1)*(s + 1)**3*(s + 2)
Let v be 10/6 + 60/45. Let w(y) be the first derivative of -2 + 1/3*y - 2/9*y**v + 1/6*y**2. Determine h so that w(h) = 0.
-1/2, 1
Let w(m) = m + 10. Let j be w(-7). Let f(b) be the first derivative of -3 - 1/3*b**6 + 0*b**2 - 4*b**4 + 8/3*b**j + 2*b**5 + 0*b. Solve f(l) = 0 for l.
0, 1, 2
Let b be 14 + 3 + (3 - 0). Factor 6*x**2 + x + 23*x**3 + 2*x - b*x**3.
3*x*(x + 1)**2
Let y(s) = 3*s**4 - 23*s**3 - 9*s**2 - 7*s - 7. Let t(p) = -p**4 + 11*p**3 + 5*p**2 + 3*p + 3. Let m(a) = -7*t(a) - 3*y(a). Find d, given that m(d) = 0.
-2, 0
Let c(k) = 9*k**3 + 60*k**2 + 9*k. Let b(i) = i**3 - 1 + 0*i**3 + 6*i**2 + i + 1. Let z(v) = -21*b(v) + 2*c(v). Factor z(a).
-3*a*(a + 1)**2
Let c(v) be the first derivative of 2*v**6/3 + 24*v**5/5 + 12*v**4 + 32*v**3/3 - 3. Let c(k) = 0. Calculate k.
-2, 0
Let g be 3/((-3)/(-4)) + -1. Solve -2*d**2 + 2/3*d**g - 2/3 + 2*d = 0 for d.
1
Let p(j) be the first derivative of -5*j**4/8 - 2*j**3 - 9*j**2/4 - j + 7. Factor p(v).
-(v + 1)**2*(5*v + 2)/2
Let b(n) be the third derivative of n**8/1176 + 8*n**7/735 + 13*n**6/420 - 11*n**5/105 - 8*n**4/21 + 32*n**3/21 + 48*n**2. Suppose b(z) = 0. What is z?
-4, -2, 1
Determine c so that -7*c**5 + 3*c**3 + 6*c**5 + 4*c**4 - 7*c**3 = 0.
0, 2
Let f(c) = 10*c**2 + 24*c - 10. Let d(p) = 30*p**2 + 71*p - 29. Let u(b) = -2*d(b) + 7*f(b). What is z in u(z) = 0?
-3, 2/5
Let h be 1/2 + (-10)/(-12). Let v = 11 + -32/3. Factor -1/3*r**4 - 2*r**2 + 4/3*r + h*r**3 - v.
-(r - 1)**4/3
Let l(s) be the third derivative of s**9/12096 - s**8/3360 + s**6/720 - s**5/480 - 2*s**3/3 - 2*s**2. Let z(j) be the first derivative of l(j). Factor z(i).
i*(i - 1)**3*(i + 1)/4
Let z(x) = x**3 - 22*x**2 + x - 19. Let c be z(22). Factor 0 - 3/7*v**c + 0*v + 0*v**2.
-3*v**3/7
Let -6/11*f**2 + 4/11*f**3 + 2/11*f**4 + 0*f + 0 = 0. Calculate f.
-3, 0, 1
Let t = 1501/7 - 214. Factor 0 - t*m**4 + 0*m - 3/7*m**2 - 6/7*m**3.
-3*m**2*(m + 1)**2/7
Let i(k) = 2*k**3 + 7*k**2 + 6*k + 2. Let p be i(-4). Let x = 40 + p. Find t such that 1/3 - 1/3*t**4 + 2/3*t + 0*t**x - 2/3*t**3 = 0.
-1, 1
Let n be (-15)/(0 - (-1 + 2)). Suppose 0 = z + 4*z - n. Factor 2*u**2 - 2*u**4 + 2*u + 0*u**3 - 4*u**z + 2*u**3.
-2*u*(u - 1)*(u + 1)**2
Let o(k) be the first derivative of 2*k**5/25 - 3*k**4/10 - 4*k**3/5 + 28*k**2/5 - 48*k/5 - 7. What is j in o(j) = 0?
-3, 2
Let u(x) = -7*x**3 + x. Let b(a) = 36*a**3 - 4*a. Let i(c) = -3*b(c) - 16*u(c). Suppose i(w) = 0. What is w?
-1, 0, 1
Let g(m) be the first derivative of 2*m**3/3 + 3*m**2 - 9. Factor g(w).
2*w*(w + 3)
Let l = 16 - 22. Let z be (-21)/l*3/21. Factor z*s**2 + s + 0.
s*(s + 2)/2
Let f = 22 - 31. Let d = f - -65/7. Factor d*k**3 + 2/7*k**2 + 0*k + 0.
2*k**2*(k + 1)/7
Suppose 2*o + 20 = -y - 3*y, -6 = 2*y. Let a be 14/2*o/(-14). Factor 1/2*w**4 - a*w**3 + 1/2 - 2*w + 3*w**2.
(w - 1)**4/2
Factor 3/4*x**2 + 0*x + 0 + 3/4*x**3.
3*x**2*(x + 1)/4
Let 0 - 1/5*n + 1/5*n**3 - 1/5*n**2 + 1/5*n**4 = 0. Calculate n.
-1, 0, 1
Let h(a) be the second derivative of -1/8*a**2 + 2*a + 0 + 0*a**3 + 1/48*a**4. Factor h(u).
(u - 1)*(u + 1)/4
Let p be (6/18)/((-2)/(-12)). Let g(r) be the first derivative of 2 - 2/5*r**5 - r**4 + r**2 - p*r + 1/3*r**6 + 4/3*r**3. Factor g(d).
2*(d - 1)**3*(d + 1)**2
Let f be -2*(-1)/((-54)/4623). Let m = -171 - f. Let 0*i - 2/9*i**3 - m*i**4 + 0 + 0*i**2 = 0. What is i?
-1, 0
Let w(x) be the third derivative of -x**6/180 - 9*x**2. Let w(c) = 0. What is c?
0
Let p be (-2)/(-18)*30/35 + 0. Let l(a) be the third derivative of 0 + p*a**3 - 1/84*a**6 + a**2 - 3/28*a**4 + 0*a + 2/35*a**5. Factor l(b).
-2*(b - 1)**2*(5*b - 2)/7
Let o be (-1)/2*-10 - (-2 - -2). Let n(y) be the third derivative of 2*y**2 - 1/48*y**4 + 0*y + 0 - 1/120*y**o + 0*y**3. Solve n(i) = 0 for i.
-1, 0
Let a be (-1)/(-2)*(26 - 22). What is d in -8/7*d**3 - 10/7*d**a + 0 - 2/7*d = 0?
-1, -1/4, 0
Let i(s) be the second derivative of s**7/2520 - s**5/360 - s**3/3 - s. Let v(t) be the second derivative of i(t). Factor v(x).
x*(x - 1)*(x + 1)/3
Factor 0 - 2/3*w**2 + 1/2*w + 1/6*w**3.
w*(w - 3)*(w - 1)/6
Let w = 15 - 10. Solve w*u**2 - 3*u**3 + 6*u - 3 - 3*u - 2*u**2 = 0.
-1, 1
Let d = 7 - 5. Suppose -6*b = -6 - 6. Suppose n**2 - b*n - 2*n**2 + 4*n - n**d = 0. What is n?
0, 1
Let l(z) be the first derivative of z**7/5880 - z**5/280 + z**4/84 - 8*z**3/3 + 9. Let c(w) be the third derivative of l(w). Factor c(r).
(r - 1)**2*(r + 2)/7
Let b = -209 - -1479/7. Let m(u) be the first derivative of 2 + 4/7*u**3 - 1/14*u**4 - 12/7*u**2 + b*u. What is