- 2*x + 3/2*x**3 - 2*x**2 - 1/2*x**5 = 0.
-1, 0, 2
Factor 2/5*d**5 + 0*d + 6/5*d**4 + 0 + 4/5*d**3 + 0*d**2.
2*d**3*(d + 1)*(d + 2)/5
Let o(i) be the third derivative of i**5/100 - 8*i**2. Factor o(a).
3*a**2/5
Let g be 2/(-17) + 106/34. Let t(l) be the second derivative of -1/4*l**2 - l + 1/12*l**4 - 3/80*l**5 + 1/24*l**g + 0. Factor t(o).
-(o - 1)**2*(3*o + 2)/4
Let h(k) be the first derivative of -2*k**5/5 + 5*k**4/8 - k**3/12 - k**2/8 + 1. Determine u so that h(u) = 0.
-1/4, 0, 1/2, 1
Let w(f) be the second derivative of -f**7/2520 + f**6/360 - f**5/120 - f**4/12 + 2*f. Let y(p) be the third derivative of w(p). Factor y(r).
-(r - 1)**2
Let p be ((-18)/16)/(12/(-8)). Let i = 157/204 - 1/51. Solve 0*u**4 + 0*u**2 - i*u**5 + 0*u + p*u**3 + 0 = 0 for u.
-1, 0, 1
Factor 13*f**2 + 7*f**2 - 43*f**2 - 12*f + 4*f**3 + 15*f**2.
4*f*(f - 3)*(f + 1)
Suppose -5*j - 3*h = -13, 0 = -2*j + 5*j - 2*h - 4. What is c in c**3 - 2/3*c**j + 0 + 0*c = 0?
0, 2/3
Let s be (-2)/3*-3 + (-9)/6. Let -s*r + 0 + 1/2*r**2 = 0. Calculate r.
0, 1
Let p(i) = -i**2 + 7*i - 4. Let l be p(5). Let d(w) be the second derivative of -1/30*w**4 + 0*w**3 - w + 0 + 1/150*w**l + 1/10*w**2 + 0*w**5. Factor d(s).
(s - 1)**2*(s + 1)**2/5
Let z(m) be the third derivative of -m**5/240 - m**4/16 - m**3/3 + 10*m**2 + 2*m. Factor z(y).
-(y + 2)*(y + 4)/4
Let o(d) be the first derivative of 1/6*d**3 + 0*d - 3 - 1/10*d**5 + 0*d**4 + 0*d**2. Suppose o(n) = 0. Calculate n.
-1, 0, 1
Let u(b) be the second derivative of -4*b**6/15 - 17*b**5/10 - 4*b**4 - 13*b**3/3 - 2*b**2 + 3*b. Solve u(i) = 0.
-2, -1, -1/4
Let t(v) = -5*v**3 - 3*v**2 - 3*v + 3. Let k(o) = o + 0*o - 1 - 4*o**3 + 5*o**3 + o**2. Let c(s) = -4*k(s) - t(s). Factor c(r).
(r - 1)**2*(r + 1)
Let y(l) be the third derivative of -l**7/840 - 7*l**6/480 - 3*l**5/40 - 5*l**4/24 - l**3/3 + 5*l**2. Factor y(v).
-(v + 1)*(v + 2)**3/4
Let h(c) = c**3 + 7*c**2 + 5*c. Let y be h(-6). Suppose 5*d - 4 - y = 0. Find o such that 2*o**3 - 4*o**d - 2*o**3 + 2*o**3 + 2*o = 0.
0, 1
Let b(p) be the third derivative of -p**7/70 - p**6/8 - 9*p**5/20 - 7*p**4/8 - p**3 - 2*p**2. Find z, given that b(z) = 0.
-2, -1
Let l(i) be the third derivative of i**6/60 - i**5/15 - i**4/12 + i**3/3 + i**2. Let s(p) = 1. Let z(x) = -l(x) - 2*s(x). Let z(n) = 0. Calculate n.
-1, 1, 2
Let b(l) = 1. Let z(q) = 5*q**2 - 15*q + 12. Let d(k) = -2*b(k) + z(k). Find j, given that d(j) = 0.
1, 2
Suppose 0 = -k + 2 - 4. Let c be 2*(k/(-5))/1. Factor 6/5*x**3 + c*x + 0 - 2*x**2.
2*x*(x - 1)*(3*x - 2)/5
Factor 6/5 + 21/5*b**3 - 36/5*b**2 + 9/5*b.
3*(b - 1)**2*(7*b + 2)/5
Suppose 50*u - 16 = 46*u. Let o(h) be the third derivative of 0*h**3 + 0 + 7/30*h**5 - 16/105*h**7 - 3*h**2 + 0*h + 1/12*h**u + 2/15*h**6. Factor o(d).
-2*d*(d - 1)*(4*d + 1)**2
Solve 2*n**2 + 15 - 8*n - 17 + 10 = 0 for n.
2
Suppose 0 = -16*i - 5 + 5. Factor 1/4*x**4 + i*x + 1/2*x**3 + 0 + 1/4*x**2.
x**2*(x + 1)**2/4
Let w(a) be the third derivative of -a**7/105 - a**6/90 + a**5/15 + a**4/6 - a**3/3 + 2*a**2. Let l(i) be the first derivative of w(i). Factor l(j).
-4*(j - 1)*(j + 1)*(2*j + 1)
Let 6/5*f + 0 + 3/5*f**2 = 0. Calculate f.
-2, 0
Factor -1/3*x**2 - 4/3 - 4/3*x.
-(x + 2)**2/3
Let r(b) be the third derivative of -b**5/300 + b**4/30 + b**3/6 + b**2. Factor r(f).
-(f - 5)*(f + 1)/5
Let k be (-22 + 2 - -3) + 0. Let o(y) = -y - 17. Let c be o(k). Factor c + 0*w + 1/4*w**2.
w**2/4
Let n(w) be the third derivative of 5/48*w**4 + 3*w**2 + 0 + 0*w - 1/30*w**5 - 1/6*w**3 + 1/240*w**6. What is m in n(m) = 0?
1, 2
Factor 9 - 2*m**2 + 4*m - 3 - 4*m**3 - 4.
-2*(m - 1)*(m + 1)*(2*m + 1)
Let z(q) = 2*q + 8. Let t be (-6)/((108/(-8))/(-9)). Let v be z(t). Suppose 0*f - 2/3*f**2 + v - 1/3*f**3 = 0. What is f?
-2, 0
Let p(j) be the third derivative of j**6/300 - j**5/25 + 3*j**4/20 + 8*j**2. Find w, given that p(w) = 0.
0, 3
Let g(r) be the second derivative of -r**5/80 + r**4/16 + r**3/24 - 3*r**2/8 - 27*r. Factor g(v).
-(v - 3)*(v - 1)*(v + 1)/4
Let g = -6 + 8. Solve -2*r**2 - r - 3 - 5*r - 3 + g = 0 for r.
-2, -1
Factor -3/4 + 7/4*a**4 + 3*a**2 + 1/2*a - 9/2*a**3.
(a - 1)**3*(7*a + 3)/4
Let a(s) be the second derivative of s**5/180 - s**4/36 + 3*s**2/2 - 8*s. Let w(f) be the first derivative of a(f). Find k, given that w(k) = 0.
0, 2
Let a(n) be the first derivative of 0*n**4 + 0*n**5 - 2 + 0*n + 0*n**2 + 0*n**6 - 2/3*n**3 + 1/840*n**7. Let t(w) be the third derivative of a(w). Factor t(s).
s**3
Let z be (-115)/(-92)*16/30. Determine x so that 0 - z*x - 1/3*x**2 = 0.
-2, 0
Let c = 1 + 1. Factor 4*i - 8*i**c - 6*i + i**4 - 9*i**4 - 2*i**5 - 12*i**3.
-2*i*(i + 1)**4
Solve 38/9*v**3 - 26/9*v**4 + 2/3*v**5 + 0 - 22/9*v**2 + 4/9*v = 0 for v.
0, 1/3, 1, 2
Factor 3*w**2 - 15*w**2 - w + 4*w.
-3*w*(4*w - 1)
Suppose 3*t = -l + 4, 0*t - l + 10 = 5*t. Solve -1/2*x**4 + 1/2*x**2 + 0*x + 0 + 0*x**t = 0.
-1, 0, 1
Let g(t) be the third derivative of -t**5/20 + t**4/4 + 3*t**3/2 - 11*t**2. What is x in g(x) = 0?
-1, 3
Solve -3/5*a**3 + 0*a + 0 + 3/5*a**2 = 0 for a.
0, 1
Let o = -67 - -35. Let w be 5/((-50)/o) - 2. Find x such that 2*x**2 + w*x - 4/5 = 0.
-1, 2/5
Let w = 13/9 - 47/45. Let l(h) be the first derivative of 0*h**2 + w*h**5 + 3/4*h**4 - 3 + 1/3*h**3 + 0*h. Factor l(d).
d**2*(d + 1)*(2*d + 1)
Let h(f) be the first derivative of 2*f**5/55 + f**4/11 - 2*f**3/33 - 2*f**2/11 + 4. Factor h(d).
2*d*(d - 1)*(d + 1)*(d + 2)/11
Let r be (-5)/(15/4)*3. Let p be (-2)/6 - 4/r. Factor -2/3*t**3 - p - 2*t - 2*t**2.
-2*(t + 1)**3/3
Solve 0*h - 1/7*h**3 + 0 + 1/7*h**4 + 0*h**2 = 0 for h.
0, 1
Let y(v) = -v**3 - 9*v**2 + 3*v + 1. Let x(o) = -2*o**3 - 20*o**2 + 7*o + 1. Let c(b) = 3*x(b) - 7*y(b). Determine s so that c(s) = 0.
-2, 1
Let j(u) be the second derivative of u**6/300 + u**5/50 + u**4/30 + u**2/2 - 4*u. Let l(r) be the first derivative of j(r). Factor l(h).
2*h*(h + 1)*(h + 2)/5
Let t(u) be the third derivative of 0*u - 3*u**2 - 1/12*u**3 - 1/160*u**5 + 1/24*u**4 + 0. Determine k so that t(k) = 0.
2/3, 2
Let n be (42/(-5))/((-9)/1830). Let r = n + -5068/3. Factor -10/3*u**3 + 16/3 + 44/3*u**2 - r*u.
-2*(u - 2)**2*(5*u - 2)/3
Let p(o) be the first derivative of -o**6/6 + 3*o**5/5 - 4*o**3/3 + 21. Let p(l) = 0. Calculate l.
-1, 0, 2
Let v(c) be the first derivative of -49*c**7/9 - 98*c**6/45 + 14*c**5/15 + 4*c**4/9 - 4*c - 1. Let f(x) be the first derivative of v(x). Solve f(w) = 0.
-2/7, 0, 2/7
Let c be (-1 + (-4)/(-3))*6. Suppose 4*u - 3*o = 0, 3*u - 3 + 10 = 4*o. Factor 2/5*p**c - 2/5*p**4 - 2/5*p**5 + 2/5*p**u + 0*p + 0.
-2*p**2*(p - 1)*(p + 1)**2/5
Find i, given that 0 - 4/3*i - 1/3*i**2 = 0.
-4, 0
Let r(j) be the first derivative of -j**4/4 + j**3/12 + 27. Suppose r(b) = 0. What is b?
0, 1/4
Find l such that 18*l**3 + 9*l**3 - 3*l**3 + 4*l**2 - 28*l**4 = 0.
-1/7, 0, 1
Let g(j) be the third derivative of -j**6/40 + j**5/10 - j**4/8 + 3*j**2. Suppose g(o) = 0. What is o?
0, 1
Factor -2/7*y**2 - 18/7 + 20/7*y.
-2*(y - 9)*(y - 1)/7
Let l(y) be the third derivative of y**6/120 - y**4/24 - y**2. Factor l(j).
j*(j - 1)*(j + 1)
Let b be (-1)/1 - (-110)/6. Let x = 370/21 - b. Factor 2/7*j**2 - 4/7*j + x.
2*(j - 1)**2/7
Let p(k) be the first derivative of k**5/5 + 3*k**4/4 + k**3/3 - 3*k**2/2 - 2*k - 29. Find x, given that p(x) = 0.
-2, -1, 1
Let d be (-2)/16 - (-525)/168. Factor 2*y**d + 7/2*y**2 - 1/2 + y.
(y + 1)**2*(4*y - 1)/2
Let j(h) be the first derivative of h**6/120 - h**5/40 + h**4/48 - 2*h - 3. Let t(d) be the first derivative of j(d). Solve t(n) = 0 for n.
0, 1
Factor 1276*j**2 - 8*j**4 + 4*j**3 - 1276*j**2 + 4*j**5.
4*j**3*(j - 1)**2
Let s be (-2)/(-14)*-2 + (-168)/(-245). Determine n, given that 0 - 2/5*n**3 + s*n - 3/5*n**2 = 0.
-2, 0, 1/2
Factor 0 + 2/3*a**3 + 2/3*a**2 + 0*a.
2*a**2*(a + 1)/3
Let j(w) be the first derivative of -3 - 1/12*w**4 + 2/9*w**3 - 1/6*w**2 + 0*w. Solve j(s) = 0 for s.
0, 1
Let d(p) be the third derivative of 5*p**7/14 + p**6 + 3*p**5/10 - p**4 + p**3/2 - 27*p**2. Factor d(a).
3*(a + 1)**2*(5*a - 1)**2
Suppose -4*j = -1 - 7. Solve -3*o**3 + 3*o + 2 - 3*o**2 - o**4 + 2*o**2 + 0*o**j = 0 for o.
-2, -1, 1
Suppose 16*t - 13*t - 15 = 0. Let x be 1/(-3) - (-16)/3. Factor 6*o - x*o + 3 + t*o + 0*o + 3*o**2.
3*(o + 1)**2
Let j = -14/5 + 33/10. Let t(r) be the first derivative of -j*r**4 - 3/7*r**2 - 1 - 4/7*r +