2. Find g such that q(g) = 0.
-3, 5
Factor -50*c + 4*c**5 + 25*c**4 + 262*c**2 - 347*c**2 - 15*c**3 + c**5.
5*c*(c - 2)*(c + 1)**2*(c + 5)
Let p(r) = 4*r**2 - 12*r - 1. Let g(x) be the first derivative of 13/3*x**3 - 2*x + 2 - 35/2*x**2. Let d(t) = 3*g(t) - 8*p(t). Factor d(w).
(w - 1)*(7*w - 2)
Find m, given that -58/3*m - 841/3 - 1/3*m**2 = 0.
-29
Let c be 1/(9/(-8 - -53)). Let b(f) be the second derivative of 7*f + 1/42*f**3 + 0*f**2 + 1/210*f**6 + 0 + 1/28*f**4 + 3/140*f**c. Solve b(q) = 0 for q.
-1, 0
Let q(h) be the second derivative of 1/60*h**6 - 1/12*h**3 + 11*h - 1/24*h**4 + 1/40*h**5 + 0*h**2 + 0. Factor q(w).
w*(w - 1)*(w + 1)**2/2
Let s be 123/(-82)*((-4)/(-6) - 2). Let m(q) be the first derivative of 3/2*q**4 + 12 - 3*q - 9/2*q**s - 2*q**3 + 9/5*q**5 + 1/2*q**6. Factor m(b).
3*(b - 1)*(b + 1)**4
Let b(y) be the second derivative of -y**4/30 - 17*y**3/15 + 2*y + 83. What is i in b(i) = 0?
-17, 0
Factor 20/3 + 2/15*i**2 + 2*i.
2*(i + 5)*(i + 10)/15
Let h be ((-6)/12 + 3)*-2. Let s be 2 - 4 - (h + -1). Solve 0 + 0*w + 1/3*w**5 - 2/3*w**3 + 0*w**2 + 1/3*w**s = 0.
-2, 0, 1
Suppose -2*h + 10 = 4*d, 0 = 2*d + 4*h - 19 + 11. Find n such that 4/7*n - 2/7*n**3 + 0 - 2/7*n**d = 0.
-2, 0, 1
Let p(h) be the third derivative of -h**8/2688 - h**7/840 - h**6/960 + h**2 - 8. Find c such that p(c) = 0.
-1, 0
Let d(j) = -5*j**2 + j - 1. Let f(o) = 26*o**2 + 140*o + 149. Let r(b) = 5*d(b) + f(b). Find m such that r(m) = 0.
-144, -1
Suppose 3*c - 18 = -3*r, -4*c = -c - r - 14. Let v(z) be the first derivative of -1 - z**4 - z**6 - 1 - 3*z**5 - z**5 + 2*z**c. Determine h so that v(h) = 0.
-1, -2/3, 0
Let y be (-21)/(-5) - 4 - (-8)/(-40). Let d(q) be the second derivative of y + 3/100*q**5 - 8*q + 1/10*q**3 + 0*q**2 - 1/10*q**4. Solve d(c) = 0 for c.
0, 1
Let w(m) be the second derivative of -m**5/50 - m**4/2 + 11*m**3/5 - 17*m**2/5 + 523*m. Factor w(r).
-2*(r - 1)**2*(r + 17)/5
Let g = 1204 + -1202. Let 1/2*h**g + 0 - 1/4*h - 1/4*h**3 = 0. What is h?
0, 1
Let a(v) be the second derivative of -v**4/60 + 4*v**3/15 + 54*v. Factor a(h).
-h*(h - 8)/5
Suppose 2*z - 2 = 2. Suppose z*b - 6 = -0. What is j in 3*j - 2*j**2 + j**b - 2*j + 2*j**2 - 2*j**2 = 0?
0, 1
Let o(y) be the third derivative of -y**8/2520 + 2*y**6/135 - 4*y**4/9 - y**3/6 + 15*y**2. Let k(l) be the first derivative of o(l). Factor k(s).
-2*(s - 2)**2*(s + 2)**2/3
Let w be 0 + 11/(-55) + 1. Determine u so that -8/5*u**2 + 8/5 + w*u - 4/5*u**3 = 0.
-2, -1, 1
Find m such that 33*m + 4*m - 114 + 28*m + 47*m + 2*m**2 = 0.
-57, 1
Suppose -1/3*t**5 + 80/3*t**2 + 8*t**4 + 0 + 9*t + 26*t**3 = 0. Calculate t.
-1, 0, 27
Let v(j) be the first derivative of 2/25*j**5 - 1/2*j**4 - 7/5*j**2 + 6/5*j**3 + 3 + 4/5*j. Factor v(m).
2*(m - 2)*(m - 1)**3/5
Let w(u) be the second derivative of -16*u**4/9 - 8*u**3/3 - 3*u**2/2 - 173*u. Factor w(s).
-(8*s + 3)**2/3
Suppose -3*c + 12 = 0, -2*t + 4*c - 16 = -4. Let x(d) be the first derivative of 1/4*d**3 + 1/16*d**4 + 3/8*d**2 - t + 1/4*d. Factor x(h).
(h + 1)**3/4
Let u(m) be the second derivative of 0 - 3*m**2 + 1/90*m**5 + 5*m + 1/3*m**3 + 1/9*m**4. Let w(j) be the first derivative of u(j). Factor w(g).
2*(g + 1)*(g + 3)/3
Let f(d) be the third derivative of d**11/66528 - d**9/4032 + d**8/2016 - 7*d**5/20 - 14*d**2. Let c(p) be the third derivative of f(p). Factor c(t).
5*t**2*(t - 1)**2*(t + 2)
Suppose -3*b = 4*h - 82, 0*b - 4 = 2*b. Suppose -12*u + h = -14. Factor -3/4*k**4 - 3*k + 9/4*k**2 - 3 + 3/2*k**u.
-3*(k - 2)**2*(k + 1)**2/4
Let l(p) = -3*p**2 - 6*p - 27. Let j(y) = 3*y**2 + 8*y + 27. Let a(v) = -6*j(v) - 5*l(v). Factor a(b).
-3*(b + 3)**2
Let k = 46/5 + -8. Let y = 23/10 + -3/2. What is o in 1/5*o**5 + 4/5*o**2 + 1/5*o + y*o**4 + 0 + k*o**3 = 0?
-1, 0
Let v(n) = n**3 + 5*n**2 - 2*n - 4. Let y be v(-5). Suppose 0 = 2*h - 5*h + 6. Solve 10*p**2 + y*p**3 - 5*p**2 + 2 - p**2 + 10*p + 10*p**h = 0.
-1, -1/3
Suppose 0 = 5*p - 4*p - 2. Factor 0*r**4 + 2*r + 4 - 2*r**3 + 8*r**4 - 6*r**p - 6*r**4.
2*(r - 2)*(r - 1)*(r + 1)**2
What is o in 14*o**4 + 16*o**5 + 1639 - 2139 + 590*o**3 + 27*o**5 - 13*o**5 + 231*o**4 - 620*o + 255*o**2 = 0?
-25/6, -2, -1, 1
Suppose 4*i = -2*g, g = -3*i + 6 - 4. Find t, given that -4/3*t**3 + 1/3 + 2/3*t**4 + 5/6*t - 1/2*t**i = 0.
-1/2, 1, 2
Let b(v) be the third derivative of -v**8/84 - 4*v**7/105 + v**2 - 75. Factor b(f).
-4*f**4*(f + 2)
Let c(v) be the second derivative of -5*v - 1/2*v**2 - 1/12*v**4 + 0 - 1/3*v**3. Solve c(n) = 0 for n.
-1
Let i(g) be the second derivative of -g**5/4 - 125*g**4/12 - 205*g**3/2 - 855*g**2/2 + 10*g + 3. Let i(u) = 0. What is u?
-19, -3
Suppose 2*n - 6*n = 5*a - 27, -5*a + n = -37. Suppose -4*k = -a*k + 9. What is x in 0 - 4/9*x**2 - 2/9*x**k - 2/9*x = 0?
-1, 0
Let f = -37 - -35. Let z be 6 - ((-12)/f)/3. Solve -4*d**z + 10*d**4 + 96*d**2 + 44*d**3 + 80*d + 16 + d**4 = 0 for d.
-2, -2/7
Find p such that 3/2*p + 0 - 1/2*p**4 + 1/2*p**2 - 3/2*p**3 = 0.
-3, -1, 0, 1
Let j(m) be the second derivative of -m**4/60 - 29*m**3/30 - 27*m**2/5 - 82*m + 2. Factor j(v).
-(v + 2)*(v + 27)/5
Suppose 16 = 3*d + 1. Factor 3*n**d - 12 - 6*n**4 + 36*n - 5*n**2 - 15*n**3 - 12*n + 2*n**2 + 9*n**4.
3*(n - 1)**3*(n + 2)**2
Let t(m) = -m**2 - 8*m + 2. Let b be t(-8). Suppose b*q - 5 = 5. Factor -s**3 - s**3 + s**q + 2*s**2 + s**5 - 2*s**4.
2*s**2*(s - 1)**2*(s + 1)
Let p be 19/684 - ((-4)/18 + 0). Factor t + 1/2*t**4 - t**2 + p*t**5 - 3/4*t**3 + 0.
t*(t - 1)**2*(t + 2)**2/4
Let t(v) be the first derivative of v**7/3780 - v**6/405 + v**5/108 - v**4/54 + 3*v**3 + 5. Let i(u) be the third derivative of t(u). Factor i(m).
2*(m - 2)*(m - 1)**2/9
Let o be (0/(16 + 0))/(-2). Let -2/13*k**2 - 2/13*k**3 + 12/13*k + o = 0. What is k?
-3, 0, 2
Let j(x) = 2*x**2 - 18*x + 32. Let p be j(2). Let c(b) be the first derivative of -6*b + 0*b**3 + 9/2*b**2 + 6 - 3/4*b**p. Find f, given that c(f) = 0.
-2, 1
Let a(r) = -40*r**2 - 1085*r + 605. Let c(i) = 10*i**2 + 271*i - 152. Let l(y) = 4*a(y) + 15*c(y). Factor l(u).
-5*(u + 28)*(2*u - 1)
Let v = -147 - -152. Find h such that 24*h**3 + 7*h**4 + 12*h**2 - 14*h**3 + v*h**5 - 15*h + 8*h**2 - 27*h**4 = 0.
-1, 0, 1, 3
Let n(q) = 9*q + 2. Let p be n(-29). Let u be 1073/p - (-5)/1. Factor u*b**2 + 3/7*b + 3/7*b**3 + 0.
3*b*(b + 1)**2/7
Let w(s) be the first derivative of 0*s - 2/3*s**2 + 1 - 4/9*s**3. Factor w(n).
-4*n*(n + 1)/3
Let o be (-444)/1554 + 2 + (-17)/14. Factor 0*p**3 + 0 + 0*p + o*p**4 + 0*p**2.
p**4/2
Factor 3/2*w**2 + 85/2*w + 14.
(w + 28)*(3*w + 1)/2
Let b(f) = 5*f - 125. Let a be b(25). Determine l so that -4/9*l**3 + 0 - 2/9*l**5 + a*l + 0*l**2 + 2/3*l**4 = 0.
0, 1, 2
Let a(q) be the first derivative of 0*q**2 + 28 + 0*q + 0*q**5 - 1/10*q**6 + 9/5*q**4 - 16/5*q**3. Factor a(n).
-3*n**2*(n - 2)**2*(n + 4)/5
Let i(z) be the second derivative of -1/225*z**6 - 1/15*z**2 - 1/15*z**4 + 4/45*z**3 + 0 + 2/75*z**5 + 19*z. Let i(k) = 0. What is k?
1
Let i(z) be the first derivative of -9*z**4/10 - 2*z**3 + 32*z**2/5 - 24*z/5 - 58. Let i(y) = 0. Calculate y.
-3, 2/3
Let z be (-1)/15*-1*(22 + 104/(-8)). Determine m, given that 2/5 + 1/5*m**2 + z*m = 0.
-2, -1
Suppose -3*x - 34 + 14 = 2*v, 3*x + 30 = -3*v. Let i be 5 + 1/22*v. Factor 20/11*s - i - 2/11*s**2.
-2*(s - 5)**2/11
Let h be 5 + (6/14 - (13 + -8)). Determine d, given that h*d**3 - 3/7*d**2 + 3/7*d**4 - 3/7*d + 0 = 0.
-1, 0, 1
Let 34/9*j**2 - 8 - 2/9*j**3 + 40/9*j = 0. What is j?
-2, 1, 18
Let z be (-22)/(-36) - 34/306. What is m in 0 + 1/2*m**4 + z*m**5 - m - 3/2*m**3 - 5/2*m**2 = 0?
-1, 0, 2
Let o be 1/(4/28) + 3. Let p be (o/(-15))/(8/(-36)). Factor -25*n**2 - 6*n + 14*n - 13*n - 20*n**p.
-5*n*(n + 1)*(4*n + 1)
Let r(m) be the third derivative of m**6/180 - m**5/45 + m**4/36 + 160*m**2 + 2. Suppose r(u) = 0. What is u?
0, 1
Let b(i) be the first derivative of -i**6/24 + i**5/6 - 5*i**4/24 - 5*i**2 - i - 15. Let h(q) be the second derivative of b(q). Factor h(a).
-5*a*(a - 1)**2
Let m(f) be the first derivative of -f**3/6 + 3*f**2 - 11*f/2 + 143. Let m(c) = 0. Calculate c.
1, 11
Let m(v) be the third derivative of -v**7/42 - 7*v**6/6 + 29*v**5/12 + 579*v**2. Factor m(y).
-5*y**2*(y - 1)*(y + 29)
Determine t so that -24*t**2 - 1479 - 2711 + 165*t**2 - 60*t**2 - 1102 - 1512*t - t**3 = 0.
-3, 42
Let x(s) be the first derivative of -6*s*