= 0. Calculate j.
49
What is v in 2/9*v**2 + 28/3*v + 98 = 0?
-21
Let z(y) = -90*y**2 + 35*y - 5. Let n(g) = 2*g**2 + g. Let j(i) = 5*n(i) + z(i). Factor j(s).
-5*(4*s - 1)**2
Factor 74474/17*d**2 + 98/17*d**4 + 41256/17*d + 5832/17 + 5348/17*d**3.
2*(d + 27)**2*(7*d + 2)**2/17
Let n(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/9*o**4 + 13*o**2 - 1/90*o**5. Suppose n(q) = 0. Calculate q.
-4, 0
Let w(a) be the third derivative of -a**7/735 - a**6/420 + a**5/210 + a**4/84 - 43*a**2. Solve w(g) = 0 for g.
-1, 0, 1
Let r(d) = -d**3 - d**2 - 2. Suppose -2*c = 5*p - 4*p - 2, p = 5*c - 12. Let z be r(p). Factor -2*k + 6 - 17*k**2 - 2*k + 15*k**z.
-2*(k - 1)*(k + 3)
Suppose 12*v - 14 = -5*i + 11*v, -2*i - 2*v + 4 = 0. Let b(r) be the first derivative of 2/3*r**2 + 4/3*r + 1/9*r**i + 4. Solve b(g) = 0 for g.
-2
Let k = 51/4 + -137/12. Factor -m**3 + k*m**2 + 1/6*m**5 - 1/2*m + 0 + 0*m**4.
m*(m - 1)**3*(m + 3)/6
Let n(s) be the first derivative of -6*s**5/5 + 3*s**4/4 + s**3 - 64. Factor n(y).
-3*y**2*(y - 1)*(2*y + 1)
Let g(f) = f. Let d(s) = 3 - 2*s + 4*s**2 - 3. Suppose -21*o + 8 = -13*o. Let q(z) = o*d(z) + 6*g(z). Factor q(l).
4*l*(l + 1)
Let p(y) = -5*y**2 + 25. Let m(j) = 5*j**2 - 24. Let i(h) = -5*m(h) - 4*p(h). Factor i(k).
-5*(k - 2)*(k + 2)
Let j(h) be the first derivative of -h**6/15 + 12*h**5/25 - 9*h**4/10 + 8*h**3/15 - 89. Factor j(i).
-2*i**2*(i - 4)*(i - 1)**2/5
Suppose 2*b + 0*b - 6 = 0. Suppose 2*p**2 - p + 83*p**b + 1 - 82*p**3 - 3*p**2 = 0. Calculate p.
-1, 1
Let z(l) be the third derivative of l**5/60 + l**4/24 - l**2. Let i(b) = -7*b**2 - 5*b. Let w(f) = -i(f) - 6*z(f). Factor w(c).
c*(c - 1)
Suppose -3*p = -i + 169, -4*p = 4*i - 92 + 296. Let g be ((-56)/p + (-22)/(-121))*8. Factor -18/5 - 2/5*m**4 - g*m - 44/5*m**2 - 16/5*m**3.
-2*(m + 1)**2*(m + 3)**2/5
What is j in 0*j + 0*j**2 + 0 + 0*j**4 - 2/15*j**5 + 2/15*j**3 = 0?
-1, 0, 1
Let y(c) be the first derivative of -28*c**3/15 - 2*c**2 + 8*c/5 - 66. Factor y(x).
-4*(x + 1)*(7*x - 2)/5
Let h(s) be the second derivative of 25*s**6/24 - 35*s**5/12 + 55*s**4/24 - 5*s**3/6 - 14*s**2 + 59*s. Let x(o) be the first derivative of h(o). Factor x(t).
5*(t - 1)*(5*t - 1)**2
Suppose -2*j + 4*j = -j. Let c(r) be the third derivative of 0 + j*r - r**2 + 0*r**3 + 0*r**4 - 1/100*r**5. Factor c(d).
-3*d**2/5
Factor -4/5 - 1/5*r**2 - r.
-(r + 1)*(r + 4)/5
Factor 34/9*o**2 - 2/9*o**5 + 4/3*o + 2/3*o**4 + 0 + 10/3*o**3.
-2*o*(o - 6)*(o + 1)**3/9
Let o(x) be the first derivative of x**4/7 + 64*x**3/21 + 30*x**2/7 - 130. Factor o(n).
4*n*(n + 1)*(n + 15)/7
Let b = -31210/3 + 10405. Solve -20/3*o**2 + 20/3 + b*o**3 - 5/3*o = 0 for o.
-1, 1, 4
Suppose 10 = 3*z + 2*z + 2*d, -4*d + 20 = -z. Let n(k) = k**3 - 2*k + 2. Let y be n(z). Find m such that -14/3*m - y*m**2 - 4/3 = 0.
-2, -1/3
Let g(h) = -3*h**2 + 6*h - 2. Let z be g(4). Let r be (z - -19)*(-4)/14. Suppose -r*a - a**2 + 1/2 - 2*a**5 + 4*a**3 + 1/2*a**4 = 0. Calculate a.
-1, 1/4, 1
Let f(y) be the second derivative of 0 - 3/16*y**5 + 0*y**2 - 7/16*y**4 - 1/40*y**6 - 3/8*y**3 + 28*y. Find s such that f(s) = 0.
-3, -1, 0
Factor -155 - 76*g**3 + 52*g**3 - 1245*g - 2520*g**2 - 56*g**3.
-5*(g + 31)*(4*g + 1)**2
Let y(z) be the first derivative of -1/2*z**4 - 1 + 4/3*z**3 + 0*z + z**2 + 1/15*z**5. Let f(m) be the second derivative of y(m). Suppose f(d) = 0. Calculate d.
1, 2
Suppose 5*w - 1 = -1. Let l be (w - -2) + (-6 - 276/(-66)). Factor l*q**3 - 2/11*q**2 - 2/11*q + 2/11.
2*(q - 1)**2*(q + 1)/11
Let k(i) = -i**3 + i**2. Let u be 4/(-8)*1*0. Let m(n) = u*n**2 - n**2 - 5*n**2 + 0*n**3 + 8*n**3. Let b(j) = -10*k(j) - m(j). Factor b(z).
2*z**2*(z - 2)
Let b(r) = -r**2 + 4*r + 525. Let t be b(-21). Let d(f) be the first derivative of t*f**2 + 0*f**3 - 1/4*f**4 + 4 + 0*f. Factor d(g).
-g**3
Let v(b) = b**2 - 5*b + 7. Let m be v(4). Suppose m*o + 1 = 7. Solve -10*d + 25*d + 1 - 3*d**2 - 13*d + 4*d**o = 0.
-1
Let h(o) = 2*o**2 + 16*o + 4. Let g be h(-8). Find i such that -6*i**2 - 2*i**3 + 4*i**2 - 2*i**g + i**4 + i**2 = 0.
-1, 0
Let r = -24 + 29. Factor 0*p**3 + p**4 + 4*p**3 - p**r - 5*p**3 + 3*p**3.
-p**3*(p - 2)*(p + 1)
Let q(t) = -t**3 + 4*t**2 - 2*t + 37. Let s be q(5). Let z(a) be the third derivative of 1/12*a**3 + 0 + 1/32*a**4 + 0*a - s*a**2 - 1/48*a**5. Factor z(h).
-(h - 1)*(5*h + 2)/4
Suppose 5*n + 6 = 4*a, 8 = 2*a - 0*a. Let w(f) be the first derivative of 0*f**3 + n + 0*f**4 + 0*f - 1/12*f**6 - 1/10*f**5 + 0*f**2. Solve w(o) = 0 for o.
-1, 0
Suppose 2*w - 3*p = -p - 22, 4*w + 42 = 3*p. Let g be -3 - (-1 + w/1). Solve 5 - 2*r**2 + 5*r - r - g = 0.
1
Let p(y) be the third derivative of y**6/180 + 43*y**5/15 + 1849*y**4/3 + 636056*y**3/9 + 26*y**2 + 1. Solve p(j) = 0.
-86
Suppose 15 = 3*w - 3*z, 0 = w + 5*z - 8 + 15. Suppose -w*l + h - 5 = 0, -l - h = 2*h - 15. Factor 1/5 - 1/5*a**2 + l*a.
-(a - 1)*(a + 1)/5
Let y(h) be the third derivative of h**5/20 + 37*h**4/8 - 39*h**3 + 201*h**2. Determine a, given that y(a) = 0.
-39, 2
Let w = -82 + 63. Let p = -37/2 - w. Solve p*q**3 - 1/2*q - 1/6*q**2 + 1/3 - 1/6*q**4 = 0.
-1, 1, 2
Factor -1/4*r + 1/4*r**5 + 0*r**3 - 1/2*r**4 + 1/2*r**2 + 0.
r*(r - 1)**3*(r + 1)/4
Let u = 40263 - 201313/5. Factor 0 + u*h - h**3 + 3/5*h**2.
-h*(h - 1)*(5*h + 2)/5
Let p(k) be the second derivative of k**4/12 - k**3/3 + 2*k**2 - 37*k. Let f be p(0). Factor 2/3*i**3 - 2/3*i**5 + 0*i + 2/3*i**2 - 2/3*i**f + 0.
-2*i**2*(i - 1)*(i + 1)**2/3
Suppose 0 = i - 2*i - 3, 2*i = 3*c - 51. Let 7 + 5*b**2 - 3 + 6 - c*b = 0. What is b?
1, 2
Let a(y) be the first derivative of -y**5/25 - 3*y**4/20 + 16*y**3/15 - 6*y**2/5 - 423. Factor a(z).
-z*(z - 2)*(z - 1)*(z + 6)/5
Let x(h) be the second derivative of 1/30*h**3 + 1/120*h**4 + 1/20*h**2 + 17*h + 0. Factor x(m).
(m + 1)**2/10
Solve 8450*m**2 - 5*m**4 + 0*m**5 - 3*m**4 - 2*m**5 + 56*m**3 - 8514*m**2 = 0.
-8, 0, 2
Suppose -4*u - 5 = 3. Let k be (67/35 + u)/(29/(-145)). Suppose -3/7 - k*v**2 + 6/7*v = 0. Calculate v.
1
Suppose -3*k - 51*k - 58*k = -336. Solve 5/4*j**k + 1/8*j**2 + 0*j + 0 = 0.
-1/10, 0
Let g(a) be the first derivative of 3*a**4/8 + 21*a**3/2 - 33*a**2/2 + 75. Factor g(b).
3*b*(b - 1)*(b + 22)/2
Determine d, given that 50/13*d**3 - 162/13 + 10*d**2 - 18/13*d = 0.
-9/5, 1
Let v(k) = -k**2 - 11*k - 20. Let t(g) = g**3 - 7*g**2 - 4*g + 20. Let d be t(7). Let b be v(d). Factor 0*y**2 + 4/5*y**3 + 0*y**b - 2/5*y - 2/5*y**5 + 0.
-2*y*(y - 1)**2*(y + 1)**2/5
Solve -66 - 7*c + 66 - 6*c**5 - 51*c**4 + 27*c**3 + 7*c = 0.
-9, 0, 1/2
Suppose -156 = 4*p - 168. Factor o**3 - 16*o**2 + 0*o**3 + 12*o**2 - 2*o**p.
-o**2*(o + 4)
Suppose 4*n - 20 = 3*a, 5*a + 0 + 10 = 2*n. Let k(b) = -b**3 + 8*b**2 + 3. Let f be k(8). Factor 2*q**3 + 0*q**2 + 2*q**2 - 4*q**2 + a*q**f.
2*q**2*(q - 1)
Let u(b) = 13*b**3 - 15*b**2 - 3*b + 17. Let f(z) = -30*z**3 + 30*z**2 + 5*z - 35. Let s(o) = 2*f(o) + 5*u(o). Let s(k) = 0. What is k?
-1, 1, 3
Let p(z) be the second derivative of 0 - 50*z**2 + 15*z**3 - 2*z**4 + 1/10*z**5 - 32*z. Factor p(a).
2*(a - 5)**2*(a - 2)
Let r(l) = -1. Let x(f) = 4*f**2 + 4*f - 26. Suppose 12*h - 6 = 18*h. Let i(s) = h*x(s) + 2*r(s). Let i(g) = 0. Calculate g.
-3, 2
Let w(a) be the second derivative of 4*a + 5/36*a**4 + 0*a**2 + 0 - 1/9*a**3. Factor w(z).
z*(5*z - 2)/3
Let n(s) be the third derivative of 121*s**7/280 + 319*s**6/160 + 57*s**5/40 - 19*s**4/8 + s**3 + 187*s**2. What is i in n(i) = 0?
-2, -1, 2/11
Determine h, given that -3/7*h**2 + 9/7*h**3 + 0 - 6/7*h = 0.
-2/3, 0, 1
Let v(o) be the third derivative of 0*o - 16/9*o**3 - 1/90*o**5 + 2/9*o**4 + 0 - 24*o**2. Factor v(h).
-2*(h - 4)**2/3
Let p(u) be the first derivative of -u**4 - 40*u**3/3 + 34*u**2 + 264*u - 275. Let p(t) = 0. Calculate t.
-11, -2, 3
Let g(h) be the third derivative of 2 + 0*h - 10*h**2 - 169/2*h**3 - 1/40*h**6 - 143/8*h**4 + 5/4*h**5. Suppose g(j) = 0. Calculate j.
-1, 13
Let h(t) be the first derivative of -34 + 15/28*t**4 - t**3 - 6*t**2 + 36/7*t. Factor h(u).
3*(u - 3)*(u + 2)*(5*u - 2)/7
Let s(k) be the first derivative of -k**5 + 65*k**4/4 - 85*k**3/3 - 305*k**2/2 + 330*k + 188. Find b such that s(b) = 0.
-2, 1, 3, 11
Let j(f) = 5*f**4 + 13*f**3 + 5*f**2 - 3*f. Let u(m) = -7*m**2 + 4*m**2 + 8*m - 13*m**2 - 14*m**4 - 38*m**3. Let q(g) = -8*j(g) - 3*u(g). Factor q(a).
2*a**2*(a + 1)*(a + 4)
Le