2*u + 12. Let v(w) = 2*a(w) + 11*r(w). What is c in v(c) = 0?
-2, -1, -2/7
Suppose -13 = -5*p - 3. Factor -2/3 + 2/3*n - 2/3*n**3 + 2/3*n**p.
-2*(n - 1)**2*(n + 1)/3
Factor 3 - 6*i**4 - 1 - 4*i**5 + 4*i**2 - 6*i + 6*i**5 - i**3 + 5*i**3.
2*(i - 1)**4*(i + 1)
Let f(m) = -m**2 + 4*m + 1. Let j be f(3). Determine v, given that 8*v**2 + 2*v**5 + 13*v**4 + 0*v - v + 12*v**3 + 3*v - 5*v**j = 0.
-1, 0
Determine p so that -2/5*p**2 - 8/5*p + 2 = 0.
-5, 1
Let u(w) be the second derivative of -w**7/126 + w**6/90 + w**5/60 - w**4/36 - 6*w. Factor u(m).
-m**2*(m - 1)**2*(m + 1)/3
Let a(r) be the third derivative of -r**5/570 + r**4/19 - 12*r**3/19 - r**2 - 4*r. Factor a(k).
-2*(k - 6)**2/19
Let 3*d**3 - 2*d**2 - 4*d - d**2 - d**5 + 2*d**4 - 2*d**2 + d**2 = 0. Calculate d.
-1, 0, 2
Suppose 2*s = 8*s - 6. Let l(w) be the first derivative of w**2 - s + 0*w + 2/3*w**3. Suppose l(g) = 0. What is g?
-1, 0
Let r(b) be the first derivative of -b**5/3 + 5*b**4/6 - 5*b**3/9 + 14. What is x in r(x) = 0?
0, 1
Suppose -7*l = -l - 30. Let i(u) be the second derivative of 0 - 1/12*u**l - u - 1/2*u**3 - 1/3*u**2 - 1/3*u**4. Factor i(q).
-(q + 1)**2*(5*q + 2)/3
Let l(a) = a**3 - a**2 + a. Let r(p) = p**4 + 3*p**3 - 4*p**2 + 2*p. Let c(h) = -6*l(h) + 3*r(h). What is m in c(m) = 0?
-2, 0, 1
Let n(t) be the first derivative of 2*t**3/15 - 55. Determine o, given that n(o) = 0.
0
Let j(b) = 2*b**2 + b - 6. Let k(p) = -2*p**2 - 2*p + 6. Let x(g) = -2*j(g) - 3*k(g). Solve x(q) = 0.
-3, 1
Let p = -80 + 80. Let a(m) be the second derivative of 4*m - 1/20*m**5 - 1/8*m**4 - 1/12*m**3 + 0 + p*m**2. Find n, given that a(n) = 0.
-1, -1/2, 0
Let u be 1*2/(-2 - -4). Let f(k) be the first derivative of -1/2*k**2 - 1/3*k**3 - u + 0*k. Factor f(r).
-r*(r + 1)
Let q be 200/110 + (-2)/(-11). Let k(j) be the first derivative of 0*j - 1/10*j**4 + 0*j**q - 1/15*j**3 - 1/25*j**5 - 2. Find f, given that k(f) = 0.
-1, 0
Let x(k) be the third derivative of k**7/4620 + k**6/990 + k**3/6 - 6*k**2. Let m(h) be the first derivative of x(h). Determine q so that m(q) = 0.
-2, 0
Let n = 589 - 2937/5. Solve -12/5*a**2 - 12/5*a + n*a**3 + 8/5 = 0 for a.
-1, 1/2, 2
Let v(g) be the third derivative of 5*g**8/112 + 6*g**7/35 + 9*g**6/40 + g**5/10 + 15*g**2. Determine z so that v(z) = 0.
-1, -2/5, 0
Let t = -530/9 - -59. Let r(f) be the third derivative of 0*f**4 - 1/90*f**5 + 0*f + 2*f**2 + 0 + t*f**3. Solve r(w) = 0.
-1, 1
Suppose 0 = 45*n - 51*n + 18. Solve 0*d**2 + 0*d + 0 + 0*d**n + 3/2*d**4 = 0 for d.
0
Factor 7*m - 3*m**3 - 9*m - 6 - 2*m**2 - 13*m - 10*m**2.
-3*(m + 1)**2*(m + 2)
Suppose 3*f + 0 = 3, -4*c + f = -15. Let u(p) be the first derivative of -p**5 - p + 5/2*p**2 - 2 + 1/6*p**6 + 5/2*p**c - 10/3*p**3. Factor u(x).
(x - 1)**5
Determine d, given that -8/9*d - 16/9 - 4/9*d**4 + 20/9*d**2 + 10/9*d**3 - 2/9*d**5 = 0.
-2, -1, 1, 2
Let c = 26 + -23. Determine x, given that -8*x**c - 15*x**2 + 51*x**5 - 6*x - 48*x**5 + 3*x**4 - x**3 = 0.
-1, 0, 2
Let w be 230/(-75)*(-6 - (-5 - -9)). Factor w*s**2 + 32*s**3 - 32*s + 6*s**4 + 6.
2*(s + 3)**2*(3*s - 1)**2/3
Let o(q) = q**2 + 8*q + 22. Let v(f) = 3*f**2 + 24*f + 65. Let k(l) = -17*o(l) + 6*v(l). Find d, given that k(d) = 0.
-4
Let f(p) = 13*p**3 + p**2 + 3*p - 3. Let b(x) = 144*x**3 + 12*x**2 + 32*x - 32. Let z(v) = 3*b(v) - 32*f(v). Factor z(k).
4*k**2*(4*k + 1)
Let b(n) be the third derivative of -n**8/2016 - n**7/1260 + n**6/240 + n**5/72 + n**4/72 - 34*n**2. Factor b(j).
-j*(j - 2)*(j + 1)**3/6
Let t be 196/42 - (-2)/(-3). Find m such that -8/9 - 16/9*m + 10/9*m**3 - 2/9*m**5 - 2/9*m**2 + 2/9*m**t = 0.
-1, 2
Let g = 16/21 - 2/21. Let t(x) = x + 12. Let c be t(-9). Factor 2/3*o**4 - g*o**2 - 2/3*o + 0 + 2/3*o**c.
2*o*(o - 1)*(o + 1)**2/3
Suppose -26 = -5*x - b, -2*x + b = -b - 8. Let g(y) be the first derivative of 3 + 1/30*y**x + 0*y + 0*y**4 - 1/18*y**3 + 0*y**2. Find k, given that g(k) = 0.
-1, 0, 1
Determine b, given that 0*b**2 + 16*b - 3*b**3 + 1/2*b**4 + 0 = 0.
-2, 0, 4
Let d(z) = -2*z. Let k be d(-1). Suppose k*p + 2 = 6. What is b in -7*b**5 + 3*b**3 + 7*b**4 - b**3 - p*b**4 = 0?
-2/7, 0, 1
Let k(s) be the first derivative of 15/4*s**4 - 5/3*s**5 + 2/3*s**2 - 8/3*s**3 + 0*s + 2. Factor k(x).
-x*(x - 1)*(5*x - 2)**2/3
Let i(a) = 4*a - 3*a + 2*a - 5. Let z(g) be the first derivative of g**3/3 - g**2/2 - g - 2. Let r(n) = 2*i(n) - 2*z(n). Factor r(q).
-2*(q - 2)**2
Suppose g - 11 = -0*g. Let m = g + -7. Factor f**3 - 5*f**3 - m*f**2 + 2*f**3.
-2*f**2*(f + 2)
Suppose 4*s - 11*h + 8*h = 31, 7 = -2*s - 3*h. Let -6/5*d**3 + 6/5*d**s + 0 - 2/5*d**5 + 0*d + 2/5*d**2 = 0. What is d?
0, 1
Let f(z) be the second derivative of z**4/3 + 16*z**3/3 - 18*z**2 + 33*z. Suppose f(l) = 0. Calculate l.
-9, 1
Factor -4*m**2 + 3*m - 3*m**3 - 8*m + 2*m**3 - 2.
-(m + 1)**2*(m + 2)
Let x(r) be the second derivative of -r**5/5 + 4*r**4/3 - 2*r**3/3 - 12*r**2 - 4*r. Factor x(i).
-4*(i - 3)*(i - 2)*(i + 1)
Let b be (-3)/(-18)*3*4. Suppose 0 = j - b*j + 6. Determine g, given that -6*g + 4*g**2 + 3*g**5 + 4*g**5 + 2 - 5*g**5 - j*g**4 + 4*g**3 = 0.
-1, 1
Let d(q) = -q**2 - 1. Let h be ((-1)/3)/(5/(-45)). Suppose h*l - 4 = -1. Let r(v) = -5*v**2 - 4. Let j(u) = l*r(u) - 4*d(u). Suppose j(p) = 0. Calculate p.
0
Let p(w) be the third derivative of 7*w**6/480 + 19*w**5/240 + w**4/12 - w**3/6 + 3*w**2. Find a, given that p(a) = 0.
-2, -1, 2/7
Let h(o) be the third derivative of 1/6*o**3 + 1/360*o**6 + 3*o**2 + 0*o - 1/120*o**5 + 0 + 0*o**4. Let x(v) be the first derivative of h(v). Factor x(f).
f*(f - 1)
Let f(w) be the third derivative of -w**9/80640 - w**8/13440 - w**7/6720 - w**5/12 + 7*w**2. Let q(g) be the third derivative of f(g). Factor q(h).
-3*h*(h + 1)**2/4
Factor 0*w**4 + 3*w**4 - 30*w**2 + 6*w**2 - 9*w**3 + 12*w**2.
3*w**2*(w - 4)*(w + 1)
Let h(g) = 3*g**4 - 2*g**3 - 4*g**2 + 4*g + 5. Let k(f) = 4*f**4 - 2*f**3 - 4*f**2 + 5*f + 6. Let x(s) = 3*h(s) - 2*k(s). Factor x(n).
(n - 3)*(n - 1)*(n + 1)**2
Let l(n) be the first derivative of 4/5*n - 4 - 3/5*n**3 + 6/5*n**2 - 7/20*n**4. Suppose l(i) = 0. Calculate i.
-2, -2/7, 1
Let t = 103/15 - 20/3. Find h, given that 1/5*h + t*h**2 + 0 = 0.
-1, 0
Let a(r) = -4*r - 3. Let t be a(3). Let y be (-40)/t - (-2)/(-3). Find f such that 5*f**2 + 2*f**5 - 4*f**4 - f - 3*f - f**y + 2*f = 0.
-1, 0, 1
Let s(q) be the first derivative of -8/9*q**3 - 2*q + 3 + 13/3*q**2. What is w in s(w) = 0?
1/4, 3
Let o = -714/5 + 144. Let d(k) be the first derivative of 3/20*k**4 + 3/2*k**2 - 4/5*k**3 - o*k - 2. Solve d(r) = 0 for r.
1, 2
Factor -5*s - 4*s - 10*s**3 + 5*s + 14*s**2.
-2*s*(s - 1)*(5*s - 2)
Let l(q) = q + 7. Let b be l(-3). Factor -4*x**b + 15*x**3 + 4*x**2 - 17*x**3 - 2*x**2.
-2*x**2*(x + 1)*(2*x - 1)
Let p be 2 - 4/(-4)*-22. Let n be -1 - -1 - p/5. Solve q**2 + 7/3*q**n + 2/3*q + 0 - 4*q**3 = 0 for q.
-2/7, 0, 1
Suppose -10*w + 3*w = -28. Factor 0*y**w + 4*y**4 - 5*y**3 - 4*y + 9*y**3 - 4*y**2.
4*y*(y - 1)*(y + 1)**2
Let o(d) be the second derivative of d**5/330 + d**4/33 + 4*d**3/33 + 3*d**2 - 8*d. Let q(w) be the first derivative of o(w). Factor q(k).
2*(k + 2)**2/11
Suppose -z + 5*f = 3, 0 = -3*z + 6*z - 2*f - 4. Suppose 2*r - 2/3*r**z - 4/3 = 0. Calculate r.
1, 2
Let u(j) be the first derivative of -1/3*j**6 - j**2 + 8/3*j**3 - 3*j**4 + 0*j - 1 + 8/5*j**5. Find k such that u(k) = 0.
0, 1
Factor -2/9*z**3 - 8/9 - 10/9*z**2 - 16/9*z.
-2*(z + 1)*(z + 2)**2/9
Let q(h) be the second derivative of 5/3*h**3 + 9*h - 49/60*h**6 - 7/4*h**5 + 1/8*h**4 - h**2 + 0. Solve q(r) = 0 for r.
-1, 2/7
Suppose -8*g - 61 = -3*g - 2*b, 2*b + 30 = -2*g. Let d = 15 + g. Solve 1/4 - 11/2*o**3 - 3/4*o**5 - 7/4*o + 13/4*o**4 + 9/2*o**d = 0.
1/3, 1
Let m(a) = -6*a**2 - 40*a - 80. Let n(i) = i**2. Let d(k) = m(k) + n(k). Determine j, given that d(j) = 0.
-4
Factor -3/2*s**3 - 3/2*s**2 + 0 + 0*s.
-3*s**2*(s + 1)/2
Let z be 6/(-39) - (-522)/13. Find d, given that -2*d**2 + 3 - 16*d**2 - 3 - z*d - 8 = 0.
-2, -2/9
Let m = 5 + 0. Suppose l = -5*w + 2*l + 11, -m*w + 3*l + 13 = 0. Find n, given that 0 - 1/2*n**w + 0*n = 0.
0
Let r(f) be the second derivative of -1/33*f**3 + 1/110*f**5 + 0 - 1/66*f**4 + 1/11*f**2 + 2*f. Factor r(u).
2*(u - 1)**2*(u + 1)/11
Let v be (-2)/1 + 1 + -5. Let i(m) = -m**2 + 1. Let c(q) = -8*q**2 - 2*q + 6. Let l(n) = v*i(n) + c(n). Factor l(