 = 0. Calculate b.
-2, 2/7, 1/3
Let x(w) = w**2 + w - 1. Let i(g) = 40 - 113 + 50 - 10*g**2 + 36 - 11*g. Let p(r) = -2*i(r) - 10*x(r). Factor p(b).
2*(b + 2)*(5*b - 4)
Factor -1/5*k**3 + 129/5*k - 128/5*k**2 + 0.
-k*(k - 1)*(k + 129)/5
Let u(d) = -d**3 - d**2 + 4. Let k be u(0). Suppose -4*r - 4*p + 20 = 0, -k*p + 15 = p. Factor 3*a**2 + r + 1 + 8*a - 12 - 2*a.
3*(a - 1)*(a + 3)
Let k(d) be the second derivative of -32*d**7/21 - 16*d**6/5 + 23*d**5/5 + 5*d**4 + 4*d**3/3 - 554*d. What is l in k(l) = 0?
-2, -1/4, 0, 1
Let i(h) be the third derivative of -11/15*h**5 + 3*h + 1/6*h**6 - 2*h**4 + 0 + 6*h**2 + 0*h**3. Let i(o) = 0. Calculate o.
-4/5, 0, 3
Let k be (-4)/10 + 54/(-90)*-9. Let o(z) be the second derivative of 5*z + 1/90*z**k - 1/27*z**3 - 1/135*z**6 + 0 + 1/54*z**4 + 0*z**2. Factor o(r).
-2*r*(r - 1)**2*(r + 1)/9
Solve 0 - 10/9*h - h**2 + 1/9*h**3 = 0.
-1, 0, 10
Let p(l) be the first derivative of -31*l - 2*l**2 - 13 - 8/15*l**3 + 1/15*l**4. Let z(f) be the first derivative of p(f). Factor z(a).
4*(a - 5)*(a + 1)/5
Let k = -34397/2 - -17283. Factor 13*g**2 + 0 - k*g**3 - 1/2*g.
-g*(13*g - 1)**2/2
Let t(w) be the second derivative of -49/20*w**5 - 76*w**3 - 90*w**2 - 62*w - 329/12*w**4 + 0. Factor t(m).
-(m + 5)*(7*m + 6)**2
Let q(z) be the first derivative of -208 - 5/3*z**3 - 8405*z - 205*z**2. Factor q(g).
-5*(g + 41)**2
Solve -14/9*s**2 - 26/9*s - 4/3 = 0 for s.
-1, -6/7
Let s(j) be the first derivative of j**6/27 + 2*j**5/45 - j**4/18 - 2*j**3/27 - 848. Determine d so that s(d) = 0.
-1, 0, 1
Let f(m) = 13*m - 200. Let w be f(5). Let g be (3 + -2)*(-45)/w. Let 1/3*i**2 + i**3 + 2/3*i**5 - g*i - 5/3*i**4 + 0 = 0. Calculate i.
-1/2, 0, 1
Let g(d) be the first derivative of -d**5/5 + 79*d**4/2 + 160*d**3 + 241*d**2 + 161*d + 155. What is t in g(t) = 0?
-1, 161
Suppose 7*a - 16*a - 945 = 0. Let x be 720/a*14/(-45). Factor -x*k**4 + 0 - 4/15*k**2 + 14/15*k**5 + 22/15*k**3 + 0*k.
2*k**2*(k - 1)**2*(7*k - 2)/15
Let s be (1/(-5))/(4/50*(2585/132 - 20)). Let -3/2 - 21/2*n - 24*n**4 - 57/2*n**2 - s*n**5 - 75/2*n**3 = 0. Calculate n.
-1, -1/2
Determine u, given that 0 - 51/7*u**4 - 120/7*u**3 + 0*u - 48/7*u**2 - 6/7*u**5 = 0.
-4, -1/2, 0
Let f(w) = -28*w**4 + 574*w**3 - 3475*w**2 + 6749*w - 4483. Let v(d) = -3*d**4 + 64*d**3 - 386*d**2 + 750*d - 498. Let h(o) = -6*f(o) + 57*v(o). Factor h(k).
-3*(k - 62)*(k - 2)**3
Suppose 0 = 56*l - 52*l - 152. Factor 2*i**2 - 62*i - l*i - 465 + 1715.
2*(i - 25)**2
Let i(f) be the first derivative of -5*f**4/36 - 35*f**3/18 - 10*f**2 - 29*f - 86. Let t(l) be the first derivative of i(l). Find a such that t(a) = 0.
-4, -3
Let j = 89694 + -269047/3. Factor -5/3 + j*x**2 - 25/6*x**3 - 35/6*x.
-5*(x - 2)*(x - 1)*(5*x + 1)/6
Let f(a) = -a**2 + 15*a + 56. Let s be f(-3). Solve -34*m - 18*m - 705*m**s - m**4 + 20 + 16*m + 722*m**2 = 0 for m.
-5, 1, 2
Suppose 194/3*v**3 - 2668/3*v**2 + 6392/3*v + 2/3*v**5 + 56/3*v**4 - 4624/3 = 0. What is v?
-17, 2
Let z(q) = -731*q + 38012. Let g be z(52). Let g*f + 12/7*f**3 - 3*f**5 + 0 + 0*f**2 + 36/7*f**4 = 0. Calculate f.
-2/7, 0, 2
Factor -1599 - 64*n - 25*n**2 - 20*n + 28*n**2.
3*(n - 41)*(n + 13)
Suppose 141*y - 140*y = 29. Let u = y - 25. What is s in -u*s**2 + 3*s**2 - 2 - 2*s - 2 + 6*s = 0?
2
Let w(g) be the second derivative of g**7/42 - g**6/10 - 27*g**5/20 + 45*g**4/4 - 27*g**3 - 437*g. Factor w(y).
y*(y - 3)**3*(y + 6)
Let n(a) be the second derivative of -5*a**7/21 - 8*a**6/15 - 3*a**5/10 + 689*a. Factor n(z).
-2*z**3*(z + 1)*(5*z + 3)
Let q(a) be the third derivative of a**7/4200 - a**6/120 + 21*a**5/200 - 27*a**4/40 + 62*a**3/3 - 4*a**2. Let h(x) be the first derivative of q(x). Factor h(z).
(z - 9)*(z - 3)**2/5
Let j(b) be the second derivative of b**4/36 - 29*b**3/9 + 119*b**2/2 + 5*b - 84. Factor j(a).
(a - 51)*(a - 7)/3
Let y(b) be the third derivative of 14/3*b**3 + 1/36*b**4 + 258*b**2 - 1/90*b**5 + 0*b + 0. Factor y(p).
-2*(p - 7)*(p + 6)/3
Let h(k) be the first derivative of 2*k**2 + 4/5*k + 29 + 3/5*k**3. Find y, given that h(y) = 0.
-2, -2/9
Let i(j) be the first derivative of j**5/35 - 75*j**4/28 - 155*j**3/21 + 75*j**2/14 + 22*j + 9062. Find c, given that i(c) = 0.
-2, -1, 1, 77
Let q be 54 + (-29 - 22) + (-2)/(42/31). Factor q*r + 34/21 - 2/21*r**2.
-2*(r - 17)*(r + 1)/21
Let g(x) be the first derivative of -x**4/2 - 1074*x**3 - 649635*x**2 - 1296050*x - 3014. What is q in g(q) = 0?
-805, -1
Let m be (-6)/(-6 + 6/2). Find r such that -8500*r**2 + 8479*r**m + 3*r - 7*r**3 + 21 + 4*r**3 = 0.
-7, -1, 1
Find s, given that -1/2*s**5 - 13/2*s**4 + 230*s**2 + 0*s**3 + 384 + 608*s = 0.
-8, -2, -1, 6
Let p(v) = -v**2 - 2*v + 18. Let g be p(3). Determine f, given that 5*f**5 - 16*f**g - f**5 + 6*f**5 - 6*f**5 = 0.
-2, 0, 2
Let x(f) be the first derivative of -2*f**3/3 - 33*f**2 + 380*f + 6319. Let x(s) = 0. Calculate s.
-38, 5
Let x be 33/8 + -13 + 9. Let m(n) be the first derivative of 1/16*n**6 - 3/40*n**5 - 3 - 3/32*n**4 + 0*n**2 + x*n**3 + 0*n. Factor m(y).
3*y**2*(y - 1)**2*(y + 1)/8
Let p be (50 - 50)*(18/(-6) - -2). Let m(g) be the third derivative of -1/108*g**4 + 2/27*g**3 + 0 - 1/270*g**5 + p*g + 17*g**2. Factor m(j).
-2*(j - 1)*(j + 2)/9
Let v(w) be the second derivative of w**5/60 - 25*w**3/6 - 107*w**2 - 77*w. Let z(q) be the first derivative of v(q). Solve z(a) = 0 for a.
-5, 5
Let c be 2/20*(44 + -40). Let q(b) be the first derivative of -4 + 1/9*b**4 + 0*b + 0*b**2 + 7/27*b**6 - c*b**5 + 0*b**3. Let q(o) = 0. Calculate o.
0, 2/7, 1
Let b(s) be the third derivative of 16*s**2 - 4/3*s**3 + 23/30*s**6 + 13/6*s**4 - 28/15*s**5 + 5*s - 4/35*s**7 + 0. Determine g so that b(g) = 0.
1/3, 1/2, 1, 2
Factor 20/11*x**2 + 14/11 - 142/11*x.
2*(x - 7)*(10*x - 1)/11
Let h(m) = -149*m**2 - 3573 - 2050 - 192*m + 147*m**2. Let k(c) = c**2 + 98*c + 2811. Let l(t) = -2*h(t) - 5*k(t). Factor l(j).
-(j + 53)**2
What is j in -744/11*j - 2/11*j**2 - 69192/11 = 0?
-186
Let q(j) be the second derivative of -j**4/54 + 151*j**3/27 - 148*j**2/3 + 1738*j. Solve q(o) = 0 for o.
3, 148
Let b(g) be the third derivative of g**6/200 - 47*g**5/100 + 17*g**4 - 280*g**3 - g**2 + 80*g. Factor b(d).
3*(d - 20)**2*(d - 7)/5
Let q be (-4)/3*63/(-42) - (-60)/18. Let g(d) be the second derivative of q*d**4 + 0 + 3*d + 6*d**2 + 32/3*d**3. Factor g(i).
4*(4*i + 1)*(4*i + 3)
Let b(y) be the second derivative of -47*y + 0*y**5 + 5/12*y**4 + 0*y**2 + 0*y**3 - 1/6*y**6 + 0. Factor b(p).
-5*p**2*(p - 1)*(p + 1)
Suppose -15 = -x - 4*b, -5*x + 2*b = 4*b - 21. Let u(m) be the second derivative of -36*m**2 - 3*m - 1/6*m**4 - 4*m**x + 0. Factor u(t).
-2*(t + 6)**2
Let r(t) = -t**2 + t + 4. Let i be r(2). Suppose -5*y = 4*u - 8, -3*u + 5*y - i = -8. Solve -47*q - 3*q**u + 19*q + 22*q = 0 for q.
-2, 0
Let z(i) be the second derivative of -i**6/70 + 87*i**5/35 - 229*i**4/28 + 57*i**3/7 + i + 211. What is y in z(y) = 0?
0, 1, 114
Suppose -153 - 291*y - 101467*y**2 + 18 + 101487*y**2 = 0. Calculate y.
-9/20, 15
Suppose -2939 = -12*t + 2485. Let b be t/105 + 2/21. Find r, given that -b*r - 14/5*r**3 - 4/5 - 32/5*r**2 = 0.
-1, -2/7
Let l(a) be the second derivative of -a**6/150 - 39*a**5/50 - 169*a**4/5 - 8788*a**3/15 - a - 583. Suppose l(m) = 0. What is m?
-26, 0
Suppose 9 = -3*y + 2*d - 4*d, d = 6*y - 27. Factor 2*u**2 - 5/2*u**4 - 4*u + 1/2*u**5 + 3*u**y + 0.
u*(u - 2)**3*(u + 1)/2
Let l(s) be the second derivative of -5*s**7/42 + 5*s**6/3 + 33*s**5/2 + 160*s**4/3 + 515*s**3/6 + 75*s**2 - 21*s + 59. What is f in l(f) = 0?
-2, -1, 15
Let o be ((48/20)/(-3))/((-2)/5). Factor -2 - 8 - 25*h - 66*h**3 - 20*h**o + 61*h**3.
-5*(h + 1)**2*(h + 2)
Let d(a) = 38*a**2 + 8463*a + 2614. Let f(s) = 27*s**2 + 6045*s + 1866. Let m(z) = 18*d(z) - 25*f(z). Let m(y) = 0. Calculate y.
-134, -1/3
Let x(y) be the second derivative of 0 + 0*y**2 + 1/18*y**4 + 55*y + 16/9*y**3. Suppose x(f) = 0. What is f?
-16, 0
Let m(b) be the second derivative of 1/18*b**4 - 5 + 100/9*b**3 + 2500/3*b**2 + 2*b. Factor m(a).
2*(a + 50)**2/3
Let u(t) be the first derivative of -4*t**5/5 - 97*t**4/14 - 54*t**3/7 - 18*t**2/7 + 334. Suppose u(o) = 0. What is o?
-6, -1/2, -3/7, 0
Find o such that -201/5*o - 51/5*o**3 + 171/5*o**2 + 3/5*o**4 + 78/5 = 0.
1, 2, 13
Let b = -35 + 41. Suppose a = -b + 8. Suppose 3*k**4 - 6*k - 6*k**4 + 5*k**a + 4*k**2 