2 + g + 1/4*r = 0. Calculate r.
-2/5, 0
Let v(f) = -3*f. Let a be v(-2). Suppose -114*n + a*n**3 - 5*n**3 + n**2 + 112*n = 0. What is n?
-2, 0, 1
Let j(s) be the second derivative of -s**6/40 + 3*s**5/16 - 9*s**4/16 + 7*s**3/8 - 3*s**2/4 - 42*s. Factor j(k).
-3*(k - 2)*(k - 1)**3/4
Let m(b) be the second derivative of -2*b**6/5 - b**5 + 5*b**4/3 + 10*b**3/3 - 4*b**2 + 243*b. Let m(h) = 0. What is h?
-2, -1, 1/3, 1
Let q = 60 + -56. Let w(s) be the first derivative of 0*s + 1/10*s**5 + 1/24*s**6 + 0*s**3 + 1/16*s**4 + 0*s**2 + q. Determine a, given that w(a) = 0.
-1, 0
Let n(b) be the third derivative of -4*b**7/105 - b**6/4 - 4*b**5/15 + b**4/4 + b**2 - 27*b. Solve n(c) = 0.
-3, -1, 0, 1/4
Let a(y) be the second derivative of y**5/40 - 43*y**4/24 - 89*y**3/12 - 45*y**2/4 - 167*y. Factor a(l).
(l - 45)*(l + 1)**2/2
Find d such that -2/5*d - 4/5*d**2 + 0 - 2/5*d**3 = 0.
-1, 0
Suppose 10 = -5*r, 0*t = -2*t + r + 2. Suppose 3*w = -3*y - t + 18, -5*w - 2 = y. Factor i**3 - y + 12*i + i**3 - 6*i**3.
-4*(i - 1)**2*(i + 2)
Let v = -5303/3 - -1768. Factor -m**2 - 2/3 + v*m**4 - 5/3*m + 1/3*m**3.
(m - 2)*(m + 1)**3/3
Let u(f) be the third derivative of -f**8/2856 - 9*f**7/595 - 73*f**6/340 - 101*f**5/102 - 38*f**4/17 - 48*f**3/17 + 119*f**2. Solve u(i) = 0 for i.
-12, -1
Let h = 499 - 128. Factor -40 + 16 - h*c**2 + 200*c + 49*c**3 - 4.
(c - 7)*(7*c - 2)**2
Suppose -4539/2*t**2 - 321/2*t**4 + 867*t + 3117/2*t**3 + 0 + 9/2*t**5 = 0. Calculate t.
0, 2/3, 1, 17
Suppose -10*m = -12*m + 16. Let d = m + -5. What is s in 2*s**2 - 2*s - d + 2 + 1 = 0?
0, 1
Let r(c) = -247*c**4 - 480*c**3 - 304*c**2 - 54*c. Let p(w) = 123*w**4 + 240*w**3 + 152*w**2 + 26*w. Let f(n) = -5*p(n) - 3*r(n). Find l, given that f(l) = 0.
-2/3, -4/7, 0
Let d be (10 - 28/3)*(0 + 3). Let h(b) be the second derivative of 0 - 1/15*b**3 + 0*b**d + b - 1/10*b**4. Factor h(j).
-2*j*(3*j + 1)/5
Determine l, given that -16*l**3 - 2*l**5 - 16*l**2 + 6*l**5 - 29*l**4 + 15*l**4 + 18*l**4 = 0.
-2, -1, 0, 2
Let p(m) = -8*m**5 - 106*m**4 + 3*m**2 + 3*m. Let t(k) = -k**5 - 2*k**4 + k**2 + k. Let x(w) = p(w) - 3*t(w). Factor x(s).
-5*s**4*(s + 20)
Let y = 27867 - 111339/4. Determine w so that -y*w**2 + 0 - 15/2*w - 39/2*w**3 + 21/4*w**4 = 0.
-1, -2/7, 0, 5
Let o = 117 - 93. Let s be (4/(-8))/(-7*3/o). Let 0*y**2 - 8/7*y**3 - 4/7 + s*y**4 + 8/7*y = 0. Calculate y.
-1, 1
Solve 84 - 69/2*q**3 - 243*q**2 - 222*q + 21/2*q**4 = 0 for q.
-2, 2/7, 7
Let o(n) be the third derivative of -1/36*n**4 + 1/540*n**6 + 0*n + 0 + 0*n**5 - 13*n**2 + 1/6*n**3. Let c(z) be the first derivative of o(z). Factor c(b).
2*(b - 1)*(b + 1)/3
Suppose n + n = -4*w + 8, 8 = 5*n + 4*w. Let p be 4 + (n - (-2 + 4)). Find r such that 2*r**3 + r**2 - 6*r**p + 2*r**2 - 5*r**3 = 0.
-1, 0
Let c(k) = k**3 - 33*k**2 - k + 36. Let r(q) = 10*q - 57. Let v be r(9). Let n be c(v). Factor 0 - 4/7*y - 4/7*y**n - 8/7*y**2.
-4*y*(y + 1)**2/7
Let s be 2/12*400/22. Let m = s - 15/11. What is c in m*c + 1/3*c**3 - 2/3 - 4/3*c**2 = 0?
1, 2
Let p = -19 - -23. Let o = -1674 - -1674. Factor -1/2*n**p + 1/2*n**2 + 0*n**3 + 0 + o*n.
-n**2*(n - 1)*(n + 1)/2
Let t(a) = -36*a**3 + 76*a**2 - 40*a + 16. Suppose -13*y - y = -42. Let f(x) = 7*x**3 - 15*x**2 + 8*x - 3. Let z(r) = y*t(r) + 16*f(r). Solve z(q) = 0.
0, 1, 2
Let x(s) = s**2 - 5*s + 6. Let m be x(4). Factor q**3 + q**5 - m*q**3 + 61*q**4 - 61*q**4.
q**3*(q - 1)*(q + 1)
Let r(c) be the second derivative of -5*c**5/6 - 5*c**4/3 - 4*c**3/3 - 3*c**2/2 + 6*c. Let l(y) be the first derivative of r(y). What is d in l(d) = 0?
-2/5
Solve 94/3*y**3 + 0 - 62/3*y**2 + 4*y + 2*y**5 - 50/3*y**4 = 0.
0, 1/3, 1, 6
Let s be (4/(-6))/(10/15). Let j = s + 4. Suppose -6*c**j + c**4 + 2*c**4 + 5*c**2 - 2*c**2 = 0. What is c?
0, 1
Let c(y) = -y**3 + 2*y**2 + y + 1. Let b be c(3). Let o be -2 - b/1 - 1. Factor 2/3*r**3 - 2/3*r - 2/3 + 2/3*r**o.
2*(r - 1)*(r + 1)**2/3
Determine s so that -1/6*s**4 - 13/2*s**2 - 9/2*s + 0 - 13/6*s**3 = 0.
-9, -3, -1, 0
Let d(q) be the first derivative of -2*q**6 + 2*q**5/5 + 26*q**4 - 62*q**3/3 - 52*q**2 - 24*q + 215. Solve d(g) = 0.
-3, -1/2, -1/3, 2
Let d(k) be the second derivative of 0 + 4/11*k**2 + 10*k + 1/66*k**4 - 4/33*k**3. Factor d(q).
2*(q - 2)**2/11
Let y(m) be the third derivative of -6*m**2 - 1/108*m**4 + 0 - 1/45*m**5 - 1/1512*m**8 + 1/9*m**3 + 1/315*m**7 + 1/270*m**6 + 0*m. Find p such that y(p) = 0.
-1, 1, 3
Let w(t) = -6*t**2 + 6*t + 4. Let f(n) = 5*n**2 - 5*n - 5. Let v(b) = 4*f(b) + 3*w(b). Let j(h) = h**2 - h - 5. Let z(q) = 8*j(q) - 5*v(q). Factor z(m).
-2*m*(m - 1)
Let n(f) = 3*f + 36. Let q be n(-12). Let o(y) be the third derivative of 1/30*y**3 - 10*y**2 + q + 0*y + 1/600*y**5 + 1/80*y**4. Factor o(z).
(z + 1)*(z + 2)/10
Let p(c) = 8*c**2 - 47*c + 37. Let m(y) = 4*y**2 - 22*y + 18. Let t(w) = -5*m(w) + 2*p(w). Find h, given that t(h) = 0.
2
Suppose -1121 - g**2 + 556 + 563 - 3*g = 0. Calculate g.
-2, -1
Let b(s) = -s**3 - s + 1. Let f(v) = -4*v**3 + 15*v**2 + v - 1. Let t(r) = -b(r) - f(r). Factor t(u).
5*u**2*(u - 3)
Let j be (-60)/660 + (-37)/(-165). Factor -4/5*w**3 + 8/15 + 26/15*w**2 + j*w**4 - 8/5*w.
2*(w - 2)**2*(w - 1)**2/15
Let g be (-780)/(-210) - 4/(-14). Let d(l) be the first derivative of 8/21*l**3 + 4/7*l**2 - 3/14*l**g + 0*l + 1/21*l**6 + 4 - 4/35*l**5. Solve d(o) = 0.
-1, 0, 2
Let z(u) = -2*u**2 + 7*u. Let h(s) = s**2 - 4*s. Let x(o) = -5*h(o) - 3*z(o). Let v(d) = d**3 + 6*d**2 + 22*d + 16. Let j(t) = -v(t) - 2*x(t). Factor j(c).
-(c + 2)**2*(c + 4)
Let s(p) be the first derivative of p**6/18 - p**4/4 - 2*p**3/9 - 163. What is l in s(l) = 0?
-1, 0, 2
Let v(z) be the third derivative of -25*z**8/112 - 5*z**7/7 + 219*z**6/40 - 47*z**5/5 + 11*z**4/2 + 268*z**2. Suppose v(l) = 0. What is l?
-22/5, 0, 2/5, 1
Suppose 0 = 7*f + 2*f - 36. Let a(i) be the second derivative of 0 - 1/33*i**3 + 0*i**f - 7*i + 1/110*i**5 + 0*i**2. Factor a(u).
2*u*(u - 1)*(u + 1)/11
Let q(g) be the first derivative of -2*g**5/5 - 19*g**4/2 - 76*g**3 - 224*g**2 - 256*g - 86. Solve q(n) = 0.
-8, -2, -1
Let v(f) be the first derivative of -f**4/28 - f**3/7 + 8*f**2/7 - 12*f/7 + 30. Find m such that v(m) = 0.
-6, 1, 2
Let z = 5960/3 + -1986. Let z*b**3 - 2/3*b**2 + 2/3 - 2/3*b = 0. Calculate b.
-1, 1
Let j(k) be the first derivative of 4*k**3/21 + 78*k**2/7 - 276. Factor j(s).
4*s*(s + 39)/7
Let j = 373 - 371. Let h(f) be the third derivative of 0*f - 1/3*f**3 - 1/60*f**6 - 7*f**j + 1/30*f**5 + 1/12*f**4 + 0. Factor h(g).
-2*(g - 1)**2*(g + 1)
Let c(b) = b**2 - 4*b + 2. Let h(p) = -5*p + 4*p + 2*p - 1 + 0. Let w = 14 - 12. Let d(t) = w*h(t) + c(t). Find n, given that d(n) = 0.
0, 2
Suppose 31 - 11 = 4*l. Suppose 5 = j, 7*x - 30 = 2*x - l*j. Factor 2*k + k**4 - k**3 + 9*k**2 - k**3 - 9*k**2 - x.
(k - 1)**3*(k + 1)
Let j(r) = 2*r**2 + 6*r. Let i(f) = -2*f**2 - 6*f. Let a = 31 - 37. Let l(k) = a*i(k) - 7*j(k). Let l(p) = 0. What is p?
-3, 0
Let y(u) be the first derivative of u**4/6 + 4*u**3/9 - 8*u**2/3 - 11. Let y(z) = 0. Calculate z.
-4, 0, 2
Suppose 0*m = 6*m - 24. Suppose -m*f - 2*f**3 + 6*f + 4*f**2 - 3*f**2 - f**4 = 0. What is f?
-2, -1, 0, 1
Factor -6/7*v**3 - 15/7*v**2 + 0 + 9/7*v.
-3*v*(v + 3)*(2*v - 1)/7
Let y(b) be the third derivative of -b**6/360 + b**5/45 - b**4/72 - b**3/3 + 141*b**2. What is w in y(w) = 0?
-1, 2, 3
Let c(x) be the first derivative of 1/6*x**2 + 10 + 1/18*x**3 + 1/6*x. Suppose c(h) = 0. Calculate h.
-1
Solve 8/3*v + 4 + 1/3*v**2 = 0 for v.
-6, -2
Factor -15*k**2 + 246*k**4 + 35*k**3 - 40*k**2 - 251*k**4 + 25*k.
-5*k*(k - 5)*(k - 1)**2
Let r(q) be the third derivative of -q**9/17920 - 11*q**8/53760 - q**7/6720 + q**5/5 + 22*q**2. Let o(t) be the third derivative of r(t). Factor o(g).
-3*g*(g + 1)*(9*g + 2)/8
Let a(k) = -27 + 28 - 2*k - 9*k**2 + 0*k. Let x(z) = -19*z**2 - 4*z + 1. Let r(m) = 14*a(m) - 6*x(m). Suppose r(u) = 0. Calculate u.
-1, 2/3
Let u(j) be the first derivative of j**4/28 - 6*j**2/7 + 16*j/7 + 21. Factor u(l).
(l - 2)**2*(l + 4)/7
Suppose i - 29 = -p - 4*p, -3*i + 43 = 4*p. Suppose -j - 4*z = i, 3*j - z - z - 15 = 0. Factor -j*v**2 - 9*v + v**2 + 2 + 4*v**3 + 5*v**2.
(v - 1)*(v + 2)*(4*v - 1)
Find t such that -14*t**5 - 6*t**4 + 49*t**3 - 93*t**3 + 52*t**3 = 0.
-1, 0, 4/7
Let w(f) be the third derivative of -f**5/150 + f**4/15 + f**3/3 - 7