e first derivative of v(y). Factor w(k).
3*k**2*(k - 2)
Let k(x) be the first derivative of -x**6/9 + 14*x**5/5 - 27*x**4 + 132*x**3 - 351*x**2 + 486*x - 380. Solve k(p) = 0.
3, 9
Suppose 86*j + 108 = 113*j. Factor 4/7*l**5 + 0 + 0*l + 8/7*l**3 + 12/7*l**j + 0*l**2.
4*l**3*(l + 1)*(l + 2)/7
Let m(i) = i**3 + i - 1. Let b = 10 - 9. Let q(v) = 2*v**4 - 14*v**3 + 26*v**2 - 26*v + 10. Let c(g) = b*q(g) + 2*m(g). Factor c(r).
2*(r - 2)**2*(r - 1)**2
Let r = 208 + -208. Factor r*t - 25/3*t**2 - 5/3*t**3 + 0.
-5*t**2*(t + 5)/3
Suppose 115*x = 106*x + 27. Suppose -v - x*l = -2 + 14, 3*v + 2*l = -8. Determine g so that 16/5*g**3 + 8/5*g + 4/5*g**4 + v + 4*g**2 = 0.
-2, -1, 0
Suppose 4*a + 110 = 3*b, 4*b - 2*a = 88 + 72. Let m be b/(-14) - 26/(-6). Factor m*w - 2/3*w**2 + 0.
-2*w*(w - 2)/3
Solve 6*g + 5*g**4 - 115*g**5 + 117*g**5 + 4 + 5 - 8*g**3 - 14*g**2 = 0.
-3, -1, 1, 3/2
Let j(y) = y**3 - y + 1. Let w(k) = -15*k**3 + 3*k**2 - 18. Let s(i) = -18*j(i) - w(i). Factor s(g).
-3*g*(g - 2)*(g + 3)
Let g(j) be the second derivative of j**8/11200 + j**7/4200 - j**6/75 + j**5/10 - 3*j**4 - 28*j. Let x(i) be the third derivative of g(i). Solve x(f) = 0 for f.
-5, 2
Suppose a + 3*u + 33 = 0, 3 = 3*u - 6*u. Let r = -28 - a. Suppose 0 + 4/5*o**r + 2/5*o**3 + 2/5*o = 0. Calculate o.
-1, 0
Let h(a) be the first derivative of -1/12*a**3 - 1/4*a**2 + 19 + 0*a. Find i, given that h(i) = 0.
-2, 0
Let v(q) be the first derivative of 6*q**3/7 + 16*q**2/7 - 8*q/7 + 74. Suppose v(t) = 0. What is t?
-2, 2/9
Factor 0 - p**3 - 4/7*p + 11/7*p**2.
-p*(p - 1)*(7*p - 4)/7
Let w be -1 + 1 + (-6)/(-14). Let k(f) = -92*f - 1288. Let h be k(-14). Suppose h*g + 2/7*g**3 + 0 + 1/7*g**4 - w*g**2 = 0. What is g?
-3, 0, 1
Factor -259*a + 34*a - 135 + 33*a**2 + 57 + 36.
3*(a - 7)*(11*a + 2)
Let i(b) = -b**3 - 6*b**2 + 16*b + 5. Let v be i(-8). What is n in n**v + 5*n**4 + 7*n**5 + 2*n**2 - n**4 + 14*n**4 + 12*n**3 = 0?
-1, -1/4, 0
Let m(u) be the first derivative of -5 + 0*u + 0*u**4 - 1/21*u**6 - 4/35*u**5 + 0*u**3 + 0*u**2. Suppose m(n) = 0. What is n?
-2, 0
Let b = 62 + -60. Let i(c) be the first derivative of 0*c**b - 4*c**3 + 9/5*c**5 + 1/2*c**6 + 0*c - 2 + 0*c**4. Factor i(a).
3*a**2*(a - 1)*(a + 2)**2
Let q(r) be the third derivative of r**9/5040 - r**8/1120 + r**6/120 - r**5/40 - r**4/3 + 2*r**2. Let a(z) be the second derivative of q(z). Solve a(s) = 0.
-1, 1
Suppose 3*s - 312 = -5*t, -76 = -t + 2*s - 6*s. Let r be ((-1)/3)/((-4)/t). Find l such that -l + 4 - 3*l**3 - 1 - l - 3*l**2 + r*l = 0.
-1, 1
Let u(b) be the second derivative of 0 + 5*b + 25/36*b**4 + 10/3*b**2 - 20/9*b**3 - 1/12*b**5. Factor u(o).
-5*(o - 2)**2*(o - 1)/3
Let t = 151 + -155. Let h be ((-1)/(-15 + 10))/(t/(-10)). What is x in 1/4 - 1/4*x**5 - h*x**3 + 1/2*x**2 + 3/4*x - 3/4*x**4 = 0?
-1, 1
Let i(t) be the first derivative of 3*t**2 - 3*t**3 - 9/4*t**4 - 33 - 3/2*t**6 + 0*t + 21/5*t**5. Let i(w) = 0. Calculate w.
-2/3, 0, 1
Let z(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 + 0 + 0*m**5 - 1/1080*m**6 - 30*m**2 + 0*m**7 + 1/3024*m**8. Factor z(k).
k**3*(k - 1)*(k + 1)/9
Let f(h) = -h**2. Let m(a) = a**3 - 3 - 2 + 8*a**2 + 5 - 2*a. Let z(n) = -28*f(n) - 4*m(n). Factor z(w).
-4*w*(w - 1)*(w + 2)
Let j = -96754/83 - -8160/7. Let s = 1136/7553 + j. Determine u so that -2/13 + 2/13*u**2 + 2/13*u - s*u**3 = 0.
-1, 1
Let x(m) be the third derivative of 0 + 0*m + 0*m**3 + 11/780*m**6 + 6*m**2 - 4/65*m**5 - 3/13*m**4 - 1/1365*m**7. What is i in x(i) = 0?
-1, 0, 6
Let p(u) be the third derivative of -u**6/420 + 17*u**5/70 - 289*u**4/28 + 4913*u**3/21 + 41*u**2. Factor p(m).
-2*(m - 17)**3/7
Let p(j) = j**3 - 20*j**2 - 9*j + 183. Let z be p(20). Let u(d) be the first derivative of -12 - 1/6*d**2 - 2/3*d + 1/9*d**z. Factor u(h).
(h - 2)*(h + 1)/3
Let a be (3/(-1) + 231/49)*42/12. Determine o so that 6*o - a*o**3 - 6*o**4 + 14/3*o**2 + 4/3 = 0.
-1, -2/3, -1/3, 1
Let f = -12622 + 12625. Determine o so that -8/9*o**2 + 2/9*o**4 - 2/9*o**f + 8/9*o + 0 = 0.
-2, 0, 1, 2
Let s(n) be the third derivative of 0*n**3 + 12*n**2 + 1/24*n**6 + 1/12*n**5 - 5/24*n**4 + 0*n + 0 - 1/42*n**7. Factor s(l).
-5*l*(l - 1)**2*(l + 1)
Let f(t) be the first derivative of 33 - 4/15*t**3 + 9/5*t**2 - 8/5*t. Let f(o) = 0. Calculate o.
1/2, 4
Let n be (26/8)/((-13)/52). Let w = 18 + n. Let 10*z**2 + 3*z**3 - 9*z - z**3 - w*z**3 + 2 = 0. Calculate z.
1/3, 1, 2
Let o = 27 + -25. Let n be 14/3 - 4/6. Factor -2*v**3 + o*v + n*v**2 + 1 - 2*v**5 + 5*v**4 - 10*v**4 + 2*v.
-(v - 1)*(v + 1)**3*(2*v + 1)
Let n(c) be the first derivative of -2*c**3/15 - c**2/5 + 4*c/5 + 43. Factor n(j).
-2*(j - 1)*(j + 2)/5
Suppose -2*l + 3 - 1 = 0. Let h = 13/7 - l. Factor -4/7*g**2 + 4/7 + 6/7*g - h*g**3.
-2*(g - 1)*(g + 1)*(3*g + 2)/7
Let q(b) be the third derivative of b**7/1785 - 7*b**5/510 - b**4/34 + b**2 + 6. Suppose q(i) = 0. What is i?
-2, -1, 0, 3
Let v = 538 + -536. Let c(s) be the third derivative of 2/5*s**3 - 1/75*s**5 + 0 + 1/15*s**4 - 6*s**v + 0*s. Determine w, given that c(w) = 0.
-1, 3
Let f be (-84)/(-39) + (-14)/91. Solve 3*s**5 + s**5 + 7*s**f + 25*s**4 - 55*s**3 + 11*s**5 + 8*s**2 = 0.
-3, 0, 1/3, 1
Let l(z) be the third derivative of -z**6/240 - 29*z**5/30 + 235*z**2. Factor l(v).
-v**2*(v + 116)/2
Let k(l) be the first derivative of 5*l**6/24 - l**5/2 - 85*l**4/16 - 5*l**3/6 + 65*l**2/2 + 50*l + 406. Determine h, given that k(h) = 0.
-2, -1, 2, 5
Suppose -161 = -27*j + 20*j. Factor -5*v**2 - 7 - 17*v - 28 - j*v.
-5*(v + 1)*(v + 7)
Factor 2/5*z**2 - 4 + 18/5*z.
2*(z - 1)*(z + 10)/5
Let c(o) = o**4 - o**3 - o. Let r(h) = 3*h**4 - 2*h**3 - 3*h**2. Let z(q) = 2*c(q) - r(q). Factor z(k).
-k*(k - 1)**2*(k + 2)
Let s = -884 - -887. Let l(q) be the first derivative of 0*q - 2/21*q**s + 13 - 1/7*q**4 - 2/35*q**5 + 0*q**2. Factor l(m).
-2*m**2*(m + 1)**2/7
Let c(y) be the third derivative of -y**8/112 - y**7/35 + 9*y**6/40 + 7*y**5/10 - 5*y**4/2 - 12*y**3 - 3*y**2 - 31. Suppose c(r) = 0. What is r?
-3, -2, -1, 2
Solve -15*r**3 - 9*r**2 + 9*r**3 + 33*r**2 + 48*r + 5*r**3 + 32 + 5*r**3 = 0.
-2
Let o(d) = 36*d**2 - 56*d + 8. Let c(f) = -4*f**2 - 1. Let q(z) = 8*c(z) + o(z). Factor q(p).
4*p*(p - 14)
Let k(m) be the third derivative of -m**6/240 - m**5/30 + m**4/4 + 6*m**2 - 6*m. Find a, given that k(a) = 0.
-6, 0, 2
Let j(f) be the second derivative of -13/18*f**4 + 5/63*f**7 + 13/45*f**6 + 0 + 12*f + 2/3*f**3 + 0*f**2 - 11/30*f**5. Determine x, given that j(x) = 0.
-3, -1, 0, 2/5, 1
Suppose 52 + 58 = 55*g. Let -4*t**g + t**3 + 0 + 4/3*t + 5/3*t**4 = 0. What is t?
-2, 0, 2/5, 1
Determine r so that 1/2*r**2 - 21/2*r + 0 = 0.
0, 21
Let i = 23694/3073 - -12/3073. Suppose 3/7*h**2 + 243/7 + i*h = 0. What is h?
-9
Let u be ((-25552)/(-1344) - 19)*7. Factor u*v**2 + 2/3*v + 4/3.
(v + 4)**2/12
Let g be (1/2)/((-2)/8). Let u be g/(-17) + 256/136. Factor i**2 - 3*i + 2 + 4*i**u - 4*i.
(i - 1)*(5*i - 2)
Let l(p) = -3*p**3 + 5*p**2 + 9*p + 5. Let m(f) = -7*f**3 + 11*f**2 + 18*f + 10. Suppose -6*w - 24 = 6. Let d(n) = w*l(n) + 2*m(n). Solve d(s) = 0.
-1, 5
Let d(f) be the third derivative of f**7/840 - f**6/36 + 5*f**5/24 - 2*f**3 - 18*f**2. Let m(y) be the first derivative of d(y). Solve m(r) = 0.
0, 5
Factor -2/11*c**2 + 98/11 + 0*c.
-2*(c - 7)*(c + 7)/11
Let z(p) = 13*p - 45. Let l be z(15). Solve w**3 + 34*w**3 - l*w**2 + 16*w + 19*w + 5*w = 0 for w.
0, 2/7, 4
Let t(h) = -h**2 - 31*h - 3. Let p(x) = 16*x + 1. Suppose 73 = 5*k + 98. Let n(a) = k*p(a) - 3*t(a). Factor n(g).
(g + 4)*(3*g + 1)
Factor 7/4*p + 1/4*p**2 + 0.
p*(p + 7)/4
Let x(p) be the second derivative of -27*p + 1/3*p**4 + 8/3*p**2 + 1/30*p**5 + 0 + 4/3*p**3. Suppose x(y) = 0. What is y?
-2
Factor 0*n**2 - n**2 - 3 + 0*n**2 + 11 - n**2.
-2*(n - 2)*(n + 2)
Let f(a) = -34*a**3 - 144*a**2 - 170*a + 292. Let m(i) = 13*i**3 + 48*i**2 + 57*i - 97. Let p(r) = 3*f(r) + 8*m(r). Factor p(t).
2*(t - 25)*(t - 1)*(t + 2)
Let b be (-11)/(-6) + (1/(-9))/(22/(-33)). Determine n, given that -1/3 - 2/9*n + 1/9*n**b = 0.
-1, 3
Let w(y) be the first derivative of y**6/300 + 3*y**5/200 - 9*y**4/40 - 5*y**3 - 41. Let g(i) be the third derivative of w(i). Suppose g(m) = 0. Calculate m.
-3, 3/2
Let w(u) be the third derivative of u**6/600 + u**5/75 - 5*u**4/24 - 14*u**3/15 - 554*u**2. Find n such that w(n) = 0.
-7, -1, 4
So