- 2/3*m.
-(m - 2)*(m + 4)/3
Suppose -7*y + 5*x - 26 + 75 = 0, 4*y = -4*x - 20. Find v, given that 0 + 3/4*v + v**y = 0.
-3/4, 0
Let d be 5/(1*25/10). Factor 3*u**2 - d*u + 5*u**2 + 7*u**3 - 2*u - 5*u**4.
-u*(u - 2)*(u + 1)*(5*u - 2)
Let v(x) be the second derivative of x**5/170 + 7*x**4/102 + 16*x**3/51 + 12*x**2/17 + 82*x. Factor v(o).
2*(o + 2)**2*(o + 3)/17
Suppose -37*l = -31*l + 18. Let z be (-14)/98*(l - -1). Factor -z*q**3 + 0*q + 0 + 0*q**2.
-2*q**3/7
Let q = -2 - -4. Factor -5*h**3 + 0*h**5 - 8*h**3 - 12*h**q - h**5 - 4*h - 6*h**4.
-h*(h + 1)**2*(h + 2)**2
Let z be 5406/4081 - (-2)/(-11). Determine q, given that 8/7*q + 0 + z*q**2 - 2/7*q**3 - 2/7*q**4 = 0.
-2, -1, 0, 2
What is c in 3/2*c**2 - 3/2*c + 3/2*c**3 - 3/2*c**4 + 0 = 0?
-1, 0, 1
Factor 5*h**3 - 50*h - 1287 + 1287 + 15*h**2.
5*h*(h - 2)*(h + 5)
Let o(a) be the second derivative of a**7/63 + a**6/15 + a**5/15 - a**4/9 - a**3/3 - a**2/3 + 7*a - 13. Suppose o(r) = 0. Calculate r.
-1, 1
Let x(o) be the second derivative of o**5/120 + o**4/8 + 5*o**3/12 + 9*o**2/2 - 21*o. Let y(f) be the first derivative of x(f). Factor y(b).
(b + 1)*(b + 5)/2
Determine r, given that 0 + 0*r + 9/7*r**3 + 6/7*r**2 - 15/7*r**4 = 0.
-2/5, 0, 1
Let d = 82 + -6149/75. Let p(l) be the third derivative of 1/150*l**6 + 1/120*l**4 + d*l**5 + 5*l**2 + 0*l**3 + 0 + 0*l. Find u, given that p(u) = 0.
-1/2, 0
Let l be (91/(-78) + 2/(-6))*154. Let z be 88/l + (-2)/(-3). Determine q, given that 0 - z*q**2 + 4/7*q - 2/7*q**3 = 0.
-2, 0, 1
Let v = 659 + -654. Let k(d) be the third derivative of 1/60*d**v - 6*d**2 + 0*d + 1/6*d**3 + 0 + 1/12*d**4. Let k(z) = 0. What is z?
-1
Find m, given that -123*m**2 + 12*m**4 + 73*m**2 + 4*m**5 + 70*m**2 - 36*m**3 = 0.
-5, 0, 1
Let i(n) be the first derivative of -14*n**5/5 + n**4/2 + 80*n**3/21 - 16*n**2/7 - 130. Factor i(s).
-2*s*(s + 1)*(7*s - 4)**2/7
Let i(x) be the second derivative of -x**7/105 + 3*x**6/25 + 33*x**5/50 + 7*x**4/6 + 4*x**3/5 - 453*x - 2. Factor i(u).
-2*u*(u - 12)*(u + 1)**3/5
Let v be 8/(-12) + 16/15. Let z(b) = -3*b + 17. Let p be z(5). Factor -3/5*q**4 + 8/5*q**3 + 0 + v*q - 7/5*q**p.
-q*(q - 1)**2*(3*q - 2)/5
Let t(c) be the second derivative of c**9/504 + 9*c**8/560 + c**7/70 - c**3/6 - 8*c. Let y(h) be the second derivative of t(h). Factor y(n).
3*n**3*(n + 4)*(2*n + 1)
Let l(h) be the third derivative of 38*h**2 + 0*h + 0*h**3 - 1/35*h**7 + 0*h**4 + 0*h**5 + 1/336*h**8 + 0*h**6 + 0. Factor l(u).
u**4*(u - 6)
Let j(o) = o**5 + 7*o**4 - 9*o**3 - 7*o**2 + 8*o. Let f(k) = 4*k**5 + 36*k**4 - 44*k**3 - 36*k**2 + 40*k. Let x(r) = -5*f(r) + 24*j(r). Factor x(h).
4*h*(h - 2)*(h - 1)**2*(h + 1)
Let s(b) be the third derivative of b**6/1140 + 23*b**5/570 + 143*b**4/228 + 121*b**3/57 + 90*b**2. Find i such that s(i) = 0.
-11, -1
Let d = -2 - -2. Let a = 73 - 70. Solve d + 2*w**2 + w**2 - a = 0.
-1, 1
Factor 1/4*r**2 + 3/4*r + 1/2.
(r + 1)*(r + 2)/4
Let m = 11 - 6. Determine i, given that -5*i + 5 - 9*i**2 - m*i**2 + 15*i - 1 = 0.
-2/7, 1
Factor -812*d + 841 - 115/4*d**2 - 1/4*d**3.
-(d - 1)*(d + 58)**2/4
Let o = -3198 - -3203. Determine p, given that 0 + 4/7*p**2 - 2/7*p**4 - 1/7*p**o - 4/7*p + 3/7*p**3 = 0.
-2, 0, 1
Let j(p) = 8*p**2 + 3*p. Let c(v) = 39*v**2 + 15*v. Let g(b) = b**3 + 7*b**2 + 4*b - 6. Let h be g(-5). Let r(s) = h*j(s) - 5*c(s). Factor r(k).
-3*k*(k + 1)
Let o(w) be the second derivative of w**5/30 - 2*w**4/9 - w**3/9 + 4*w**2/3 + 180*w. Factor o(x).
2*(x - 4)*(x - 1)*(x + 1)/3
Determine d so that -2/7*d**4 + 16/7*d**2 + 24/7*d + 0 - 2/7*d**3 = 0.
-2, 0, 3
Factor 24/17 - 2/17*o**2 + 16/17*o - 2/17*o**3.
-2*(o - 3)*(o + 2)**2/17
Let k(t) = -4*t - 4. Let j be k(-4). Let y = 16 - j. Suppose -4*q**3 + 6*q**3 - q**4 + 3*q**2 - y*q**2 = 0. Calculate q.
0, 1
Let t(v) be the third derivative of 0 - 1/15*v**3 + 13*v**2 - 1/150*v**5 + 0*v + 1/30*v**4. Factor t(j).
-2*(j - 1)**2/5
Let h be (-70)/(-124) - ((-3936)/496 - -8). Factor -11/2*m**3 - 1/2 + 2*m**4 + 9/2*m**2 - h*m.
(m - 1)**3*(4*m + 1)/2
Let v(y) be the second derivative of y**5/90 + 103*y**4/54 + 2600*y**3/27 - 2704*y**2/9 + 689*y. Factor v(h).
2*(h - 1)*(h + 52)**2/9
Let r(c) be the third derivative of -13*c**2 - 1/7*c**4 + 0*c - 1/105*c**5 - 10/21*c**3 + 0. Factor r(y).
-4*(y + 1)*(y + 5)/7
Factor 56/5 - 2*z - 1/5*z**2.
-(z - 4)*(z + 14)/5
Let v = 26 - 21. Factor v*d**3 + 13*d**5 - 11*d**5 - 2*d**2 - 5*d**3 + 2*d**4 - 2*d**3.
2*d**2*(d - 1)*(d + 1)**2
Find m such that -1/4*m**5 - 13/4*m - 1/2*m**2 - 5/4*m**4 + 7/4 + 7/2*m**3 = 0.
-7, -1, 1
Suppose -2*x = 5*x - 21. Let d be (-2)/(-15) + (x - 47/15). Factor d*p**2 + 0 + 0*p + 12/7*p**3 + 75/7*p**5 + 60/7*p**4.
3*p**3*(5*p + 2)**2/7
Let x(k) be the second derivative of -k**5/12 + 5*k**4/36 + 25*k**3/18 + 5*k**2/2 - 12*k + 11. Factor x(l).
-5*(l - 3)*(l + 1)**2/3
Let m(g) = -g**3 + 8*g**2 + 9*g + 3. Let t be m(9). Suppose 4*i = t*i. Factor i + 2/13*d**3 + 12/13*d**2 + 18/13*d.
2*d*(d + 3)**2/13
Suppose -436 = -13*j - 410. Factor -1/2 - 1/2*g**j + g.
-(g - 1)**2/2
Let w(p) = -3*p**5 - 5*p**4 + 4*p**3 + 4*p - 4. Let h(f) = -f**5 + f**3 + 3 - 5 + 0*f**5 + f - f**4 + 1. Let i(q) = -12*h(q) + 3*w(q). Factor i(g).
3*g**4*(g - 1)
Let d(a) be the first derivative of -a**4/38 + 14*a**3/57 + 17*a**2/19 + 18*a/19 + 49. Find z such that d(z) = 0.
-1, 9
Let d(q) be the third derivative of -q**8/560 + q**7/140 - q**6/120 + 2*q**3/3 + 4*q**2. Let h(z) be the first derivative of d(z). Let h(b) = 0. Calculate b.
0, 1
Let k = -26 - -28. Factor 17*s - 9*s**k + 8*s - 5*s**2 - 21*s.
-2*s*(7*s - 2)
Let a be ((7 - -6) + -13)/((-1)/1). Solve 0 + a*m**2 - 2/9*m**3 + 2/9*m = 0.
-1, 0, 1
What is i in 6*i**4 + 18 + 267/5*i**3 + 672/5*i**2 + 453/5*i = 0?
-5, -3, -1/2, -2/5
Let q(p) be the first derivative of 6 - 2*p + 0*p**2 + 3/40*p**5 + 7/24*p**4 + 1/6*p**3. Let o(a) be the first derivative of q(a). Factor o(r).
r*(r + 2)*(3*r + 1)/2
Let v(i) = i**2 + 4*i - 10. Let y be v(-6). Factor -2*g**y + 10 - 29 - 10*g + 7.
-2*(g + 2)*(g + 3)
Find h such that 0 - 3/4*h**3 - 54*h**2 - 972*h = 0.
-36, 0
Let d(g) be the third derivative of -g**8/672 - g**7/60 - g**6/20 + g**5/30 + g**4/3 - g**2 - 23*g. Let d(q) = 0. Calculate q.
-4, -2, 0, 1
Let k(v) be the third derivative of 1/12*v**4 + 0 + 0*v + 5*v**2 + 0*v**3 - 1/30*v**5. Factor k(t).
-2*t*(t - 1)
Solve 0 - 24/5*k**2 + 2/5*k**3 + 22/5*k = 0.
0, 1, 11
Let v(k) = 36*k - 16. Let x be v(4). Factor 594*u**3 + 100*u**5 - 16 + x*u + 52*u**3 - 90*u**3 - 239*u**2 - 149*u**2 - 380*u**4.
4*(u - 1)**3*(5*u - 2)**2
Let w(q) be the first derivative of -16/9*q**5 + 32/27*q**6 + 5/9*q**2 - 5/9*q**4 - 12 + 25/27*q**3 + 1/9*q. Let w(p) = 0. What is p?
-1/4, 1
Suppose 4*i = 2*i + 28. Suppose f - i = -6*f. Let 2*h**3 + 6*h + 5*h**2 + f + 5*h**2 - 4*h**2 = 0. What is h?
-1
Let s(p) be the first derivative of -p**5/12 - 25*p**4/6 - 250*p**3/3 + 7*p**2/2 - 4. Let q(t) be the second derivative of s(t). Factor q(f).
-5*(f + 10)**2
Let a be (65/52)/((-1)/(-4)). Let 10*y**2 + a + 14*y - 14*y**2 + 5*y = 0. What is y?
-1/4, 5
Let a(r) = r**2 - r + 1. Let d(t) = t**2 + 4*t + 2. Let z(o) = -2*a(o) + d(o). Determine k so that z(k) = 0.
0, 6
Suppose 0 = -5*b + i + 5, -3*b - 20 = -0*i + 4*i. Let o be (-7)/3 - (b + 1)*-3. Determine p so that -2/3*p**2 - o - 4/3*p = 0.
-1
Let o = -28 + -31. Let x = -59 - o. Let 7/6*t**3 + x*t - 1/3*t**2 + 0 = 0. What is t?
0, 2/7
Suppose 2*v = 6*v - 3*c + 3, 0 = 2*c - 10. Suppose -2*l - 3 = -v*l. Factor 3*t**2 + 0*t**2 - l + 2*t**2 - 2*t**2.
3*(t - 1)*(t + 1)
Factor 4050/7 - 180/7*u + 2/7*u**2.
2*(u - 45)**2/7
Let m(d) = -2*d**2 + 10*d + 7. Let c be m(13). Let a be (134/c)/((-4)/(-3)*-1). Determine z, given that -1/2*z**2 + 1/2*z**5 - a*z**3 + 1/2*z**4 + 0*z + 0 = 0.
-1, 0, 1
Let m be -2 + (-11)/3*-3. Suppose 0 = -4*g + m + 11. Factor 10*l - 9*l - 3*l**4 + l**4 + l**2 - l**g + l**2.
-l*(l - 1)*(l + 1)**3
Let f(a) be the first derivative of -9/2*a**3 - 3*a - 6 + 7/4*a**4 + 3*a**2. Let q(w) be the first derivative of f(w). Suppose q(m) = 0. Calculate m.
2/7, 1
Let n(u) be the first derivative of 5 + 8/21*u**3 + 2/7*u**2 + 0*u. Solve n(g) = 0 for g.
-1/2, 0
Let p(x) be the first derivative of -x**4/7 + 4*x**3/21 + 127. Determine z so that p(z) = 0.
0, 1
Let 590*p**3 + 5 - 12*p + 3*p**5 - 12*p**2 - 5 + 12*p**4 - 581*p**3 = 0. Calcula