- 1)**2/3
Let f be (232/(-290))/(70/(-75)). Determine d so that f - 9/7*d**4 + 3/7*d**2 - 3*d**3 + 3*d = 0.
-2, -1, -1/3, 1
Let m be (((-1023)/(-12))/11)/((-10)/(-136)). Let s = m + -103. Factor -12/5*p + s + 3/5*p**2.
3*(p - 2)**2/5
Let j(g) be the second derivative of -g**6/105 + 9*g**5/70 - g**4/21 - 4*g**3 - 72*g**2/7 - 25*g. Determine w so that j(w) = 0.
-2, -1, 6
Let r be (-15)/10 - (-22)/4. Let w(i) be the second derivative of -1/6*i**r + i**2 + 0*i**3 + 0 - 5*i. Factor w(a).
-2*(a - 1)*(a + 1)
Let z(x) be the second derivative of 0*x**2 + 0*x**3 + 0 - 1/18*x**4 + 1/15*x**5 + 9*x - 1/45*x**6. Factor z(p).
-2*p**2*(p - 1)**2/3
Let m(y) be the first derivative of -5*y**4/4 + 215*y**3 - 27735*y**2/2 + 397535*y + 44. Factor m(f).
-5*(f - 43)**3
Suppose -4*i = f - 61, 5*i + 4*f - 86 = 6*f. Let r(d) = 2*d**2 + 2*d - 4. Let j be r(-4). Factor -4 + j*s - i*s**2 + 4*s**3 + 4 - 8.
4*(s - 2)*(s - 1)**2
Let m = -154 - -158. Suppose -f + 13 = 3*d, -f + 5 = m*f - 5*d. Find s, given that 1/3*s**f - 2/3*s**2 + 0 - 1/3*s**3 + 0*s = 0.
-1, 0, 2
Let l(j) be the third derivative of j**5/60 - j**4/24 - 25*j**3/6 + 17*j**2. Let n be l(-5). Factor 0 + 0*p**4 + 0*p + 1/6*p**3 - 1/6*p**n + 0*p**2.
-p**3*(p - 1)*(p + 1)/6
Let s = -11594/3 + 3865. Solve -s*u**2 - 4/3*u - 4/3 = 0.
-2
Let m = -23062 + 23064. Factor 8*y + 16/5*y**m + 5.
(4*y + 5)**2/5
Let v be 55/20 - (-15)/(-20). Let m be (-5)/(-13)*(-8)/(-5). Factor 8/13*p + m + 2/13*p**v.
2*(p + 2)**2/13
Let f = -23 + 22. Let g(h) = h**5 + 12*h**4 + 3. Let v(c) = -c**5 + 1. Let j(y) = f*g(y) + 3*v(y). Let j(a) = 0. Calculate a.
-3, 0
Suppose 86 = 2*v - 168. Factor -y**5 + v*y**4 - 2*y**2 + 0*y**3 + 1 + 2*y**3 - 126*y**4 - y.
-(y - 1)**3*(y + 1)**2
Let a be (2/3)/((-4)/(-3))*30. Factor 38*i - 19*i - 4*i**3 - a*i.
-4*i*(i - 1)*(i + 1)
Let j(r) be the second derivative of 6*r + 0 + 0*r**2 - 5/6*r**3 + 5/12*r**4. Factor j(i).
5*i*(i - 1)
Let i(q) = 8*q**3 - 8*q**2 + 20*q - 4. Let p(r) = r**3 + r**2 + 2*r. Let o(l) = -i(l) + 4*p(l). Factor o(u).
-4*(u - 1)**3
Factor 3*b**4 - 6*b**2 + 14*b**2 - 3*b**4 - 2*b**4.
-2*b**2*(b - 2)*(b + 2)
Let p(a) be the first derivative of -a**6/2 - 6*a**5/5 + 2*a**3 + 3*a**2/2 - 55. Solve p(b) = 0 for b.
-1, 0, 1
Let h(n) be the first derivative of -22 + 0*n - 24/7*n**3 - 162/7*n**2 - 1/7*n**4. Factor h(m).
-4*m*(m + 9)**2/7
Let i(s) be the third derivative of -1/45*s**5 + 0*s**3 + 0*s + 0 - 1/60*s**6 + 2/315*s**7 + 1/168*s**8 + 0*s**4 + 19*s**2. Determine q so that i(q) = 0.
-1, -2/3, 0, 1
Let p(g) = 2*g - 1. Let f be p(6). Suppose 4*m + f = 71. Factor m*k**3 - 5*k**4 - 5*k**2 - 1 + 6*k + k**5 - 5*k**2 - k - 5*k**3.
(k - 1)**5
Let v(r) = -1. Let g(i) = i**3 - i**2 + 1. Suppose q - 6*q - 12 = -3*k, 0 = -2*q - 5*k - 11. Let h(w) = q*v(w) - 3*g(w). Suppose h(n) = 0. Calculate n.
0, 1
Let w(b) be the first derivative of -14*b**5/55 + 51*b**4/22 - 238*b**3/33 + 93*b**2/11 - 36*b/11 + 333. Let w(c) = 0. Calculate c.
2/7, 1, 3
Let -67*q + 80*q + 5*q**2 - 385*q - 133*q = 0. What is q?
0, 101
Let y = -162 + 167. Let g(o) be the third derivative of 2/33*o**3 + 0*o - o**2 + 1/660*o**6 + 0 - 1/165*o**y - 1/132*o**4. Find d such that g(d) = 0.
-1, 1, 2
Let r(d) be the first derivative of 2*d**2 - 4*d**3 - d**4 + 4/5*d**5 - 3 + 8*d. Suppose r(b) = 0. Calculate b.
-1, 1, 2
Let o(u) be the third derivative of -u**6/300 + u**5/25 - 32*u**3/15 + 2*u**2 + 420*u. Let o(a) = 0. Calculate a.
-2, 4
Determine d, given that 2/17*d**4 - 8/17 + 6/17*d**2 - 8/17*d + 8/17*d**3 = 0.
-2, -1, 1
Suppose 9*k - 84 + 57 = 0. Let s(n) be the first derivative of 0*n - 4 + n**2 - 1/2*n**4 + 0*n**k. Factor s(y).
-2*y*(y - 1)*(y + 1)
Let w(h) = 56*h**2 + 386*h. Let q(o) = 5*o**2 + 35*o. Let j(y) = -68*q(y) + 6*w(y). Find l such that j(l) = 0.
-16, 0
Let b(y) be the third derivative of -23/150*y**5 - 1/300*y**6 + 0*y - 2*y**2 - 121/15*y**3 - 143/60*y**4 + 5. Factor b(n).
-2*(n + 1)*(n + 11)**2/5
Suppose 0*z = 4*n + 2*z - 4, 0 = 5*n + z - 2. Let h(f) be the first derivative of -1/6*f**6 + 0*f**2 + 0*f**3 + n*f**4 + 0*f - 1/5*f**5 - 2. Factor h(u).
-u**4*(u + 1)
Factor -2/5*i**3 + 2/5*i + 12/5 - 12/5*i**2.
-2*(i - 1)*(i + 1)*(i + 6)/5
Suppose -27 = 13*j - 16*j. Suppose 4*w - 6 = w. Factor -j*q - 9*q - 56*q**w - 4 + 24*q + 24*q.
-2*(4*q - 1)*(7*q - 2)
Let c(z) be the second derivative of -z**5/20 - z**4/12 + z**3/6 + z**2/2 + 8*z. Let t(r) = 8*r**3 + 4*r**2 - 4*r - 8. Let x(u) = 21*c(u) + 3*t(u). Factor x(d).
3*(d - 1)**3
Let f(t) be the third derivative of -t**5/30 - 3*t**4/4 - 14*t**3/3 + t**2 + 10. Factor f(v).
-2*(v + 2)*(v + 7)
Factor 4 + 66*l - 4*l + 16 + 14*l + 20*l**3 + 73*l**2.
(l + 2)*(4*l + 5)*(5*l + 2)
Let l(y) be the third derivative of y**5/210 + 10*y**4/21 + 13*y**3/7 - 21*y**2. Factor l(w).
2*(w + 1)*(w + 39)/7
Let b(p) be the first derivative of 1/7*p - 4 + 1/42*p**6 + 1/35*p**5 - 2/21*p**3 - 1/14*p**4 + 1/14*p**2. Find t such that b(t) = 0.
-1, 1
Let o(w) = -w + 11. Let b be o(11). Factor -5*c**2 + b*c**2 + 5*c**2 + 5*c**2 + 20*c.
5*c*(c + 4)
Let t(q) = -q**2 + q + 1. Let c be t(1). Factor -9*p**2 + 13 + 2*p**3 + p**3 - c.
3*(p - 2)**2*(p + 1)
Let z = -10630/7 - -53178/35. Solve z*f**2 - 2/5*f**3 - 2/5*f + 0 = 0 for f.
0, 1
Let n be ((-1575)/(-28))/5 - (-2)/(-8). Suppose 0 = -r - 4*c + 14, 2*r - 6*c = -c - n. Solve -2/7*s**3 - s**4 + 0 + 0*s**r + 0*s + 4/7*s**5 = 0.
-1/4, 0, 2
Let x be 3*3/(-81)*31/(155/(-30)). Factor -x*c**2 - 8/3*c + 0.
-2*c*(c + 4)/3
Let y(j) = -6*j**3 - 4. Let r be y(-4). Let g be ((-6)/(-7))/(r/266). Solve 3/5*v**3 - 6/5*v**2 + 0 + g*v = 0.
0, 1
Let o be ((-24)/(-9) - (-159)/(-90)) + (-6)/15. Determine k so that 2*k**2 - 2 - o*k**3 + 1/2*k = 0.
-1, 1, 4
Let r(n) be the third derivative of -n**6/24 + n**5/4 + 9*n**2 - 6. Find i, given that r(i) = 0.
0, 3
Let l(r) be the first derivative of -3*r**5 - 3*r**4/2 + 5*r**3 + 3*r**2 - 24. Solve l(o) = 0 for o.
-1, -2/5, 0, 1
Let r be 41/17220*42*(26 - -2). Let r*y**3 - 6/5*y**4 + 9/5*y - 2/5 + 1/5*y**5 - 16/5*y**2 = 0. What is y?
1, 2
What is w in 2/13*w**3 + 6/13*w**2 + 0*w + 0 = 0?
-3, 0
Let q(g) be the third derivative of -g**5/12 - 15*g**4/8 - 264*g**2. Factor q(y).
-5*y*(y + 9)
Let z(u) be the third derivative of -u**7/840 - u**6/120 - u**5/48 - u**4/48 + 144*u**2. Factor z(m).
-m*(m + 1)**2*(m + 2)/4
Let n = 20885 + -355043/17. Determine w so that -6/17 + 4/17*w - 4/17*w**3 + 8/17*w**2 - n*w**4 = 0.
-3, -1, 1
Let u be (3 - 28/4) + 9. Factor -8 - 15*z + 1 - u*z**3 + 2 - 15*z**2.
-5*(z + 1)**3
Suppose -3*r = -8*r. Suppose 3*k - 3 = -r*k. Factor h**4 - k + 1.
h**4
Suppose 2*p - p - 242 = -4*y, 8 = 4*p. Suppose 0*d - y = -4*f + 3*d, f + d - 8 = 0. Solve 12 - 3/4*c**5 - 21/4*c**4 - 12*c**3 - 6*c**2 + f*c = 0 for c.
-2, 1
Let b be -3 - ((-98)/42 + (-4)/2). Let s(i) be the first derivative of 8 - 1/12*i**4 - 4/3*i - b*i**2 - 5/9*i**3. Factor s(g).
-(g + 1)*(g + 2)**2/3
Suppose 4*l = -3*u + u - 2, 27 = l - 5*u. Let -25 - l*j**2 - j - 4*j - 15*j - 25 = 0. Calculate j.
-5
Let c(w) be the second derivative of -w**7/168 + w**6/60 + 3*w**5/80 + 5*w + 3. Factor c(y).
-y**3*(y - 3)*(y + 1)/4
Let o(x) be the first derivative of x**4/30 + x**3/15 - 4*x + 9. Let b(r) be the first derivative of o(r). Determine p so that b(p) = 0.
-1, 0
Let h(s) be the first derivative of -s**6/6 + 7*s**5/5 - 4*s**4 + 4*s**3 + 19. Find w such that h(w) = 0.
0, 2, 3
Let y be 3 - (2/(-4) + 103/2). Let k = y + 146/3. Factor k*o**5 + 2/3*o**4 - 2/3*o**3 + 0*o - 2/3*o**2 + 0.
2*o**2*(o - 1)*(o + 1)**2/3
Let s(m) be the second derivative of -3*m**5/50 - 3*m**4 - 27*m**3/5 + 174*m**2/5 + 356*m. Factor s(f).
-6*(f - 1)*(f + 2)*(f + 29)/5
Suppose 15*c - 10 = 5*c. Let f be (-24)/(-10) + c + 30/(-75). Factor -4/5*x + 0 - 6/5*x**2 + 2*x**f.
2*x*(x - 1)*(5*x + 2)/5
Let a(y) = y**4 - 9*y**3 + 21*y**2 - 15*y. Let v(r) = r**2 - 2*r. Let t(p) = a(p) + 6*v(p). Factor t(h).
h*(h - 3)**3
Let g(p) be the third derivative of 2*p**7/105 - 7*p**6/30 - 3*p**5/5 + 7*p**4/6 + 16*p**3/3 + 59*p**2. Factor g(y).
4*(y - 8)*(y - 1)*(y + 1)**2
Let d(t) be the second derivative of -t**7/252 + t**6/20 + 11*t**5/60 - 215*t**4/36 + 425*t**3/12 - 875*t**2/12 - 57*t. Factor d(k).
-(k - 5)**3*(k - 1)*(k + 7)/6
Let s(k) = 7*k**3 - 18*k**2 + 51*k - 30. Let p(x) = 3*x**3 - 9*x**2 + 25*x - 15. Let a(j) = -5*p(j) + 2*s