 + 68*q**2. Let a be w(5). Determine i so that 0*i + 2/7*i**a + 0*i**2 + 0 = 0.
0
Solve -76/3*l**4 - 16/3 + 32/3*l - 4/3*l**3 + 92/3*l**2 - 28/3*l**5 = 0.
-2, -1, 2/7, 1
Let a(w) be the third derivative of w**5/80 + 17*w**4/96 + 5*w**3/12 - 8*w**2. Find m, given that a(m) = 0.
-5, -2/3
Suppose -z + 4*x = -6, 5*z - 6 = 3*z + 2*x. Let v**2 - v**2 + 3*v**3 + 3*v**4 - 6*v**z = 0. What is v?
-2, 0, 1
Let l(y) = -y**3 + 3*y**2 + 6*y - 4. Let o(c) = 3*c + 4*c**2 - 3 + 3*c - c. Let r(g) = 3*l(g) - 4*o(g). Solve r(t) = 0.
-2, -1/3, 0
Factor 2/13*h**2 + 6/13*h + 0.
2*h*(h + 3)/13
Let p(q) be the third derivative of 1/7*q**3 - 1/56*q**4 + 0 - 1/140*q**5 + 7*q**2 + 0*q. Factor p(s).
-3*(s - 1)*(s + 2)/7
Let k(c) be the second derivative of c**5/40 - c**4/24 - c**3/6 - 12*c. Factor k(n).
n*(n - 2)*(n + 1)/2
Let h be 36/(-24)*(-163 - 1). Let t = -2698/11 + h. Factor 2/11*p**3 + t*p**2 + 4/11 + 10/11*p.
2*(p + 1)**2*(p + 2)/11
Let j = 33 - 33. Let h(m) be the third derivative of -3*m**2 - 1/45*m**5 - 1/9*m**3 + j*m - 1/9*m**4 + 0 + 1/105*m**7 + 1/45*m**6. Solve h(u) = 0 for u.
-1, -1/3, 1
Let o(b) be the first derivative of 4*b**5/5 - 3*b**4 - 20*b**3/3 + 6*b**2 + 16*b + 5. Factor o(w).
4*(w - 4)*(w - 1)*(w + 1)**2
Let v be ((-5)/2)/(1/(-2)). Suppose -l - 4*k + 8 = 0, v*k + 2 - 12 = -l. Factor l + 1/2*i - 1/2*i**2.
-i*(i - 1)/2
Let b(p) be the first derivative of p**3/3 + p + 3. Let q be b(1). Factor 4*k + k**2 + 3*k**2 + 2 - q*k**2.
2*(k + 1)**2
Let s(d) be the first derivative of 13/60*d**5 - d + 7/18*d**3 + 2/45*d**6 + 2 + 5/12*d**4 + 1/6*d**2. Let n(a) be the first derivative of s(a). Factor n(h).
(h + 1)**3*(4*h + 1)/3
Suppose 4*x = 3*z - 1 + 4, -2*x + 2*z + 2 = 0. Suppose -12 = -4*o - r, 0 = -x*o - 2*o - 2*r. Factor 36/7*j**2 + 0*j**3 - 54/7*j**o + 16/7*j + 2/7.
-2*(j - 1)*(3*j + 1)**3/7
Let b be (2 - 143/66) + 17/6. Factor 4/3*s + 4/3*s**3 - b*s**2 + 0.
4*s*(s - 1)**2/3
Factor 2/17*y**2 + 8/17*y - 10/17.
2*(y - 1)*(y + 5)/17
Let p(b) = b - 4. Let y be p(6). Suppose 3 = -4*f - 3*m, 4*m = f - 16 - 7. Find q such that q - f*q - q**y + q = 0.
-1, 0
Let n = -1177 + 8241/7. Factor -2/7*x**2 + 0 + n*x.
-2*x*(x - 1)/7
Let u(f) be the third derivative of -f**8/504 - 2*f**7/315 + f**5/45 + f**4/36 + 6*f**2. Solve u(h) = 0 for h.
-1, 0, 1
Let a be -1*(16/(-1) + -1). Factor 14*i**3 + 2*i**4 - a*i**3 + i**4.
3*i**3*(i - 1)
Suppose 2 = 13*c - 12*c. Suppose 0*f + 0*f**3 + 2/7*f**4 - 4/7*f**c + 2/7 = 0. What is f?
-1, 1
Let a(m) = -6*m - 4. Let x be a(-4). Let j be 2/15 - (-4)/x. Factor h**4 + 0 + 5/3*h**2 - j*h - 7/3*h**3.
h*(h - 1)**2*(3*h - 1)/3
Suppose 2/5*o**2 + 0 - 4/5*o = 0. What is o?
0, 2
Let t(l) be the second derivative of 5*l**4/12 - 5*l**3 - 35*l**2/2 - 8*l. What is s in t(s) = 0?
-1, 7
Let -7/5*a**3 - 3/5*a - 2/5 + 12/5*a**2 = 0. Calculate a.
-2/7, 1
Let r(s) = 15*s**3 - 34*s**2 - 33*s + 16. Let c(d) = 15*d**3 - 33*d**2 - 33*d + 15. Let u(a) = -2*c(a) + 3*r(a). Factor u(w).
3*(w - 3)*(w + 1)*(5*w - 2)
Let r(o) = -o**5 - 7*o**4 + 23*o**3 - o - 7. Let s(k) = k**5 + 3*k**4 - 11*k**3 + k + 3. Let f(p) = -3*r(p) - 7*s(p). Find m such that f(m) = 0.
-1, 0, 1
Let f be (68/(-8) + 4)*-2. Let u = f - 7. Find l, given that 1/5*l**3 + 0 + 1/5*l + 2/5*l**u = 0.
-1, 0
Factor 33 + 193*h + 4*h**5 + 3 - 61*h + 120*h**3 + 184*h**2 + 36*h**4.
4*(h + 1)**3*(h + 3)**2
Let q(k) be the first derivative of -k**9/126 + 3*k**8/140 - k**7/560 - k**6/40 - k**5/80 + k**3/3 - 3. Let z(o) be the third derivative of q(o). Factor z(w).
-3*w*(w - 1)**2*(4*w + 1)**2/2
Suppose -3*b = -32*b - 2*b. Determine a so that 3/5*a - 3/5*a**3 + 3/5*a**2 - 3/5*a**4 + b = 0.
-1, 0, 1
Solve -4*h**2 + 2*h**2 + 3*h**2 = 0.
0
Let o(j) be the third derivative of -j**6/900 + j**5/25 - 9*j**4/20 - 28*j**2. Determine v, given that o(v) = 0.
0, 9
Let r = 0 - 0. Let k = 48 + -46. Find o, given that 2*o**2 + r*o**k - 2*o**5 + o**5 + 3*o**3 = 0.
-1, 0, 2
Factor 2/3 - 4/3*a + 2/3*a**2.
2*(a - 1)**2/3
Let z = 104 - 104. Let v(x) be the second derivative of 1/6*x**3 + z*x**5 + 3*x + 0*x**2 + 0 - 2/15*x**6 + 1/4*x**4. What is q in v(q) = 0?
-1/2, 0, 1
Let d(k) = k**4 + k**3 - k + 1. Let a(n) = -6*n**4 - 10*n**3 - 6*n**2 + 2*n - 4. Let y = -5 + 6. Let o(q) = y*a(q) + 4*d(q). Suppose o(z) = 0. Calculate z.
-1, 0
Let y(r) = -r**4 + r. Let z(v) = 2*v**5 + 9*v**4 + 20*v**3 + 20*v**2 + 11*v + 2. Let d(k) = -2*y(k) + 2*z(k). Factor d(o).
4*(o + 1)**5
Let s(k) = k**2 - 14*k - 13. Let u be s(15). Factor -3*j**u + 3*j**4 - 5*j + 3*j**3 + 2*j + 2 - 2.
3*j*(j - 1)*(j + 1)**2
Suppose -18 = 2*z + 2*w, 0*z - 4*z - 36 = -5*w. Let j be z/2*(-4)/6. Suppose -2/3*i + 0*i**2 + 2/3*i**j + 0 = 0. What is i?
-1, 0, 1
Let w be ((-24)/21)/(-4)*14. Suppose 0 = 4*q + 3*d - 9 - 6, w*q - 7 = 5*d. Factor -1/3*v**q + 0*v**2 + 0 + 1/3*v.
-v*(v - 1)*(v + 1)/3
Let p(z) be the second derivative of z**7/231 - z**5/55 + z**3/33 - 2*z. What is j in p(j) = 0?
-1, 0, 1
Let r(x) be the second derivative of 6*x + x**4 - 9/5*x**5 + 0*x**3 + 0*x**2 + 9/10*x**6 + 0. Factor r(l).
3*l**2*(3*l - 2)**2
Factor 2*f + f**4 - 14*f**5 - 2*f**4 + 15*f**5 + 0*f**4 - 3*f**3 + f**2.
f*(f - 2)*(f - 1)*(f + 1)**2
Factor 4/15 + 2/15*v**2 - 2/5*v.
2*(v - 2)*(v - 1)/15
Let p(u) = -u**2 + 3 - 2 - 3*u**3 + 0*u**3. Let l be p(-1). Suppose -2 - l*n**2 - 4*n - 5*n**2 + 3*n**2 + 3*n**2 = 0. Calculate n.
-1
Let h be (-35)/18*(-3)/7. Factor h*w + 1/3 + 1/3*w**2.
(w + 2)*(2*w + 1)/6
Suppose 0 = 3*n - 3, 3*n = -2*u - u + 6. Suppose -3*s + 11 + u = 0. Let 0 + 1/5*o**s + 0*o**3 - 1/5*o**2 + 0*o = 0. Calculate o.
-1, 0, 1
Let 0 + c - 3/4*c**3 + c**2 - 1/2*c**4 + 1/4*c**5 = 0. Calculate c.
-1, 0, 2
Factor -2*a - 2*a + 11*a**2 - 3*a**2 + a**4 - 5*a**3.
a*(a - 2)**2*(a - 1)
Let n be (101 + (-35)/(-5))*(-3)/(-66). Let a = -1274/11 - -116. Factor n*y - 54/11 + a*y**3 - 18/11*y**2.
2*(y - 3)**3/11
Let j(u) = 3*u**3 - 2*u**2 - 9*u + 6. Let x(v) = v**2. Let w(a) = j(a) + 2*x(a). Let w(n) = 0. What is n?
-2, 1
Solve 4/5*s**2 + 2/5*s - 6/5 = 0 for s.
-3/2, 1
Let o = 15 + -10. Suppose -2*w = -o*w + 6. Factor -x**w + 0*x**2 + 2*x**3 - x**2.
2*x**2*(x - 1)
Let z be (-2)/(-24)*(-12)/(-45). Let k(l) be the second derivative of 0*l**3 - 2*l + 0*l**4 + 0*l**2 - z*l**6 + 1/126*l**7 + 0 + 1/60*l**5. Factor k(p).
p**3*(p - 1)**2/3
Let q(d) be the second derivative of d**6/220 - d**5/110 + d**4/132 + d**3/2 - 4*d. Let g(p) be the second derivative of q(p). Suppose g(j) = 0. Calculate j.
1/3
Factor 6*t - 4*t**2 + 9*t**3 + 3*t**4 + 3*t**3 + 19*t**2.
3*t*(t + 1)**2*(t + 2)
Let z = -34 + 42. Let b(d) be the first derivative of z*d**2 + 1 - 3/2*d**4 + 2/3*d**3 + 8*d. Factor b(t).
-2*(t - 2)*(t + 1)*(3*t + 2)
Let v(w) = -7*w**2 + 11*w - 9. Let c(b) = 0*b - 3*b**2 + 7*b - 4 - 2*b. Let h be 9/2 - 4/(-8). Let a(n) = h*c(n) - 2*v(n). Suppose a(i) = 0. What is i?
1, 2
Suppose -3*z + 6*w - 2*w = -20, -4*w = 4*z - 8. Let s(o) be the first derivative of 1/2*o**z + 0*o - 1 + 4/3*o**3 + o**2. Factor s(c).
2*c*(c + 1)**2
Let s(m) = -6*m**3 - m**2 + 3*m + 3. Let f be s(-2). Let v = -41 + f. What is x in v + 4/7*x**2 + 0*x - 2/7*x**3 = 0?
0, 2
Let a(c) = 5*c**5 - 7*c**4 - 5*c**3 + c**2 + 6*c - 6. Let k(o) = -14*o**5 + 20*o**4 + 14*o**3 - 3*o**2 - 17*o + 17. Let q(l) = -17*a(l) - 6*k(l). Factor q(g).
-g**2*(g - 1)*(g + 1)**2
Let k(o) be the third derivative of 1/30*o**5 + 0 - 1/60*o**6 - 1/210*o**7 + 0*o - 1/6*o**3 + 1/24*o**4 - 2*o**2 + 1/336*o**8. Find n such that k(n) = 0.
-1, 1
What is n in -30*n - 16 - 12 - 3 - 44 - 3*n**2 = 0?
-5
Let f = -2 - -5. Let a(l) = -l**2 - 5*l + 3 + 0*l**2 + 8*l. Let g(w) = 2*w**2 - 4*w - 4. Let d(i) = f*g(i) + 4*a(i). Solve d(q) = 0 for q.
0
Suppose 0 = -4*d + 4*f - 4, 0*d + 3*d + f - 9 = 0. Find w, given that 0*w + 1/3*w**3 - w**d + 4/3 = 0.
-1, 2
Let x = 15 + -25/2. What is l in 0 + 2*l**4 + 0*l - x*l**3 + 1/2*l**2 = 0?
0, 1/4, 1
Solve 0 - 2/3*c**3 + 4/3*c - 2/3*c**2 = 0.
-2, 0, 1
Suppose o + 7 = y, 0 = -3*y - 4*o + 2*o + 1. Determine m so that -10*m**4 - 6 + 7*m**4 + 9*m**2 + 3*m - 3*m**y + 0*m**3 = 0.
-2, -1, 1
Let i(o) be the first derivative of o**6/15 - o**5/10 - 3*o**4/4 - 2*o**3/3 + 5*o**2/2 + 3. Let l(p) be the second derivative of i(p). Factor l(v).
2*(v - 2)*(v + 1)*(4*v + 1)
Suppose 5*o = 8 - 18. Let k be 3 + o*1/2. Factor -b - b**4 + k*b**3 + b**2 + 0*b**3 - b**3.
-b*(b - 1)**2*(b