or k.
-1, 2/5, 1
Let v = 2357 - 2353. Let z be 6/4*(-8)/(-7). Find x, given that 8/7*x**3 + 8/7*x - 2/7 - 2/7*x**v - z*x**2 = 0.
1
Solve -4/7*f**2 + 0 + 60/7*f = 0 for f.
0, 15
Let h(n) be the third derivative of -n**6/120 + n**4/2 - 5*n**3 - 2*n**2 - 5*n. Let f(v) be the first derivative of h(v). What is x in f(x) = 0?
-2, 2
Let w(v) = -19*v**2 + 2*v - 10. Let u(q) = -2*q**2 + 1. Let r(o) = 22*u(o) - 2*w(o). Factor r(i).
-2*(i + 3)*(3*i - 7)
Let y(q) be the third derivative of 1/1440*q**6 - 1/96*q**4 - q**3 + 11*q**2 + 0*q + 0*q**5 + 0. Let f(u) be the first derivative of y(u). Factor f(r).
(r - 1)*(r + 1)/4
Let b(h) be the third derivative of 0*h - 1/90*h**5 + 0*h**3 - 25*h**2 + 0 - 1/9*h**4. Suppose b(t) = 0. Calculate t.
-4, 0
Suppose -2*l = -5*i - 11, -5*l - i + 2*i = -16. Let p(n) be the second derivative of 2*n + 0*n**2 + 0*n**l + 0 - 1/42*n**4. Factor p(k).
-2*k**2/7
Factor 2/23*u**5 + 0*u**3 + 0 + 24/23*u**4 + 0*u**2 + 0*u.
2*u**4*(u + 12)/23
Let l(f) be the first derivative of -2 - 3/4*f**2 - 1/8*f**3 + 15/8*f. Find r such that l(r) = 0.
-5, 1
Let v(a) be the third derivative of a**5/150 - a**4/20 + 21*a**2 - 3. Factor v(l).
2*l*(l - 3)/5
Let v be (-114)/190*20/(-6). Let y(k) = -k**2 - 4*k + 7. Let t be y(-5). Factor 3/2*u**v - 2 + t*u - 1/2*u**4 - u**3.
-(u - 1)**2*(u + 2)**2/2
Let p be 0*(-7)/(-49) + 17 + -1. Let w be (-136)/(-64) - (18/p + -1). Let 18*m + 3/2*m**4 + 39/2*m**w + 6 + 9*m**3 = 0. Calculate m.
-2, -1
Let k = 349/2222 - -5/202. Factor -10/11*l - k*l**2 + 2/11*l**3 - 6/11.
2*(l - 3)*(l + 1)**2/11
Let t(i) be the first derivative of i**6/30 + 18*i**5/5 - 661. Solve t(k) = 0 for k.
-90, 0
Suppose 14*y**4 - 118/5*y**2 + 34/5*y**3 + 48/5 - 6/5*y**5 - 28/5*y = 0. What is y?
-1, 2/3, 1, 12
Let w(z) = -6*z**3 + 3*z**2 + 9*z - 3. Let j(t) = -17*t**3 + 8*t**2 + 27*t - 10. Let b(r) = 3*j(r) - 8*w(r). Find l, given that b(l) = 0.
-2, 1
Let c(m) be the second derivative of 16/5*m**5 + 250*m**2 + 2/15*m**6 - 5*m + 400/3*m**3 + 0 + 30*m**4. Suppose c(k) = 0. Calculate k.
-5, -1
Let a(j) be the first derivative of -j**6/45 - 16*j**5/75 - 13*j**4/30 - 4*j**3/15 - 44. Factor a(g).
-2*g**2*(g + 1)**2*(g + 6)/15
Find u such that 108*u**2 - 94*u - 1115*u - 33*u - 2*u**3 - 216*u = 0.
0, 27
Let q(r) be the first derivative of 7*r**6/4 + 29*r**5/10 - 83*r**4/2 + 48*r**3 + 56*r**2 - 40*r - 172. Find w such that q(w) = 0.
-5, -2/3, 2/7, 2
Let z(y) be the first derivative of -3/5*y**5 - 1/8*y**6 - 3/4*y**4 + 0*y**3 + 0*y**2 + 0*y - 21. Determine i, given that z(i) = 0.
-2, 0
Let g(k) be the first derivative of -k**5/35 + k**4/7 + k**3/3 - 5*k**2/7 + 208. Factor g(z).
-z*(z - 5)*(z - 1)*(z + 2)/7
Let h = -978 + 983. Let m(c) = c**3 - 5*c**2 - 6*c + 2. Let f be m(6). Factor 0 - 2*z**4 - 2/3*z**f + 0*z + 2*z**3 + 2/3*z**h.
2*z**2*(z - 1)**3/3
Let p = 309835/28 + -44837/4. Let z = p + 144. Let -z*r**5 - 8/7*r**3 + 4/7*r**2 + 4/7 - 8/7*r**4 + 10/7*r = 0. Calculate r.
-2, -1, 1
Let r be (6*(-160)/(-168))/(2/7). Factor 3*u**4 + 39*u**2 - 22*u**2 - r*u**2.
3*u**2*(u - 1)*(u + 1)
Let k(g) be the third derivative of -g**7/1120 + 3*g**5/160 + g**4/16 + g**3/3 - g**2. Let t(w) be the first derivative of k(w). Find y, given that t(y) = 0.
-1, 2
Suppose 8/3*p + 6*p**2 + 5/3*p**4 + 16/3*p**3 + 1/3 = 0. What is p?
-1, -1/5
Let s = -58 - -62. Let y(c) be the second derivative of 25/16*c**2 - 5/24*c**3 - 3*c + 1/96*c**s + 0. What is p in y(p) = 0?
5
Let r be -240*(2 + -8)/12. Let l be 16/r*6/2. Factor -4/5 - 6/5*b - l*b**2.
-2*(b + 1)*(b + 2)/5
Let j be -2 + (-91)/(-260)*25 + -6. Solve 0 - 5/2*m**2 - 2*m + j*m**3 - 1/4*m**5 + m**4 = 0.
-1, 0, 2, 4
Suppose 0 = 5*w + 2*h + 120, 0 = 5*w + 4*h + 35 + 85. Let y be ((-9)/w)/(6/8). Determine r, given that -r + y + 1/2*r**2 = 0.
1
Let l(x) be the first derivative of -5*x**4/6 + 74*x**3/9 - 14*x**2/3 + 66. Factor l(k).
-2*k*(k - 7)*(5*k - 2)/3
Let r(i) be the second derivative of 0*i**2 + 0 - 19*i + 1/6*i**3 + 3/8*i**4. Factor r(b).
b*(9*b + 2)/2
Let m be 160/(-360)*3/(-16). Let i(x) be the second derivative of m*x**4 + 0 + 0*x**3 + 0*x**2 + 6*x. Find w such that i(w) = 0.
0
Let n(w) = 0 + 15 - 6 + 8*w**2. Let j(v) = -v**2 - 1. Let i = -125 - -74. Let a(q) = i*j(q) - 6*n(q). Factor a(t).
3*(t - 1)*(t + 1)
Let g(u) be the second derivative of 5/2*u**3 + 6*u**2 + 1/4*u**4 + 0 - 4*u. Factor g(c).
3*(c + 1)*(c + 4)
Let v(n) = 18*n**2 + 34*n - 219. Let o(m) = -44*m**2 - 84*m + 548. Let b(l) = -5*o(l) - 12*v(l). Suppose b(r) = 0. What is r?
-7, 4
Solve -2835*w**5 + 2*w**4 + 6*w**2 + 2836*w**5 - 4*w**4 - 5*w**3 = 0 for w.
-2, 0, 1, 3
Let x(j) be the third derivative of -j**8/20160 + j**7/5040 - j**5/6 + 12*j**2. Let i(d) be the third derivative of x(d). Factor i(p).
-p*(p - 1)
Let c(o) be the second derivative of -2/5*o**5 + 0*o**2 - 9*o - 2/3*o**3 + 0 + 5/6*o**4 + 1/15*o**6. Factor c(w).
2*w*(w - 2)*(w - 1)**2
Suppose -759 = 8*z - 783. Let t(b) be the second derivative of 0*b**2 + b - 1/30*b**4 + 1/105*b**7 - 1/25*b**6 + 0*b**z + 3/50*b**5 + 0. Factor t(n).
2*n**2*(n - 1)**3/5
Determine b so that 136/5*b**3 - 1 + 39/5*b - 16/5*b**5 - 48/5*b**4 - 112/5*b**2 = 0.
-5, 1/2
Suppose -16 = -4*z + 2*f, -2*z + 7*z + f = 20. Let q(r) be the first derivative of 3 - 8/5*r**2 - 1/10*r**z - 8/5*r - 2/3*r**3. Factor q(g).
-2*(g + 1)*(g + 2)**2/5
Let f be (2/25)/(5007/(-450705)). Let v = -2/1669 - f. Factor 3*x**4 + 27/5*x**2 + 0 + 6/5*x + v*x**3.
3*x*(x + 1)**2*(5*x + 2)/5
Suppose 8 = -2*h - i, -i + 4 = -2*i. Let a be (h/(-24))/(4/12). Factor -1/2*c**3 - 1/2*c**2 + 3/4*c**4 - a*c**5 - 1/4 + 3/4*c.
-(c - 1)**4*(c + 1)/4
Let a = 59 + -16. Solve -2 + 2*l**2 - 2 + 45*l - a*l = 0 for l.
-2, 1
Let b(m) be the third derivative of m**5/100 - 101*m**4/20 - 203*m**3/10 + 135*m**2 - 3. Factor b(j).
3*(j - 203)*(j + 1)/5
Determine p, given that -16*p**3 + 14*p + 3*p**5 - 12*p**2 - 9860*p**4 + 9872*p**4 - p**5 = 0.
-7, -1, 0, 1
Let d(y) = -5*y**2 - 17*y + 5. Let q(c) = -c**2 - 4*c + 1. Let s(a) = 4*d(a) - 18*q(a). Let p(m) = m**2 + m + 1. Let b(h) = -2*p(h) + s(h). Factor b(z).
-2*z*(2*z - 1)
Factor 6*w**3 + 18*w + 2/3*w**4 + 50/3*w**2 + 20/3.
2*(w + 1)**2*(w + 2)*(w + 5)/3
Determine f, given that 2*f + 4*f**2 - 24*f + 7*f**3 - 23*f**2 - 9*f**3 + 43*f**2 = 0.
0, 1, 11
Let d be (-13)/(13/(-2)) + 1. Suppose 0 = -j + 4*o + 20, -5*o + d*o - 10 = 3*j. Find i such that -22/5*i**3 + j + 0*i - 4/5*i**2 - 14/5*i**5 - 32/5*i**4 = 0.
-1, -2/7, 0
Suppose 25 = 5*a - 11*z + 6*z, -4*a = 3*z + 15. Let d(w) be the third derivative of a + 0*w + 0*w**3 + 0*w**4 + 1/60*w**6 + 1/15*w**5 - 5*w**2. Factor d(q).
2*q**2*(q + 2)
Let g = 223/2190 - 5/73. Let d(h) be the first derivative of 0*h - g*h**4 + 0*h**3 + 0*h**2 + 2/75*h**5 + 3. Factor d(u).
2*u**3*(u - 1)/15
Suppose -4*n + 0*n = -3*l - 13, n = -3*l + 7. Let p(k) be the third derivative of 1/12*k**5 + 0 + 0*k**n - 5*k**2 + 0*k + 0*k**3. Factor p(m).
5*m**2
Suppose 19 = 4*b - 5. Suppose 4 = 3*g - 2*s, -b*g + 2*g + 3 = -5*s. Determine q, given that 3*q**2 + q**2 - 3*q**2 + g*q - 3 = 0.
-3, 1
What is k in -65*k**2 + 429*k - 209*k - 148 + 5*k**3 - 12 = 0?
1, 4, 8
Let k be 164/1230 - (-2)/(-15). Suppose -v - 1/2*v**3 + k - 3/2*v**2 = 0. Calculate v.
-2, -1, 0
Let w = 122377/5 + -24473. Suppose 3/5*n**2 + 0 + w*n = 0. Calculate n.
-4, 0
Let f = 271 - 95. Let x be 912/f + 0 + -5. Factor 0 + 0*t + x*t**2.
2*t**2/11
Let x(p) be the third derivative of p**6/180 - p**5/15 + 11*p**4/36 - 2*p**3/3 + 4*p**2. Find a such that x(a) = 0.
1, 2, 3
Let n(j) be the third derivative of j**6/60 + 11*j**5/30 + 3*j**4 + 12*j**3 + 229*j**2. Let n(f) = 0. What is f?
-6, -3, -2
Suppose 7 = 23*k - 25*k + 11. Let -2/5*j**k + 0 - 2/5*j**3 + 0*j = 0. What is j?
-1, 0
Let m = 39 + -37. Factor m*g + 5*g**2 - 8*g - 14*g**2 - 3*g**3.
-3*g*(g + 1)*(g + 2)
Factor 57/5*u**2 + 132/5 - 3/5*u**3 + 192/5*u.
-3*(u - 22)*(u + 1)*(u + 2)/5
Let q = 23587 - 23585. Suppose -5/2*l - 5/2*l**q + 0 = 0. Calculate l.
-1, 0
Let b(a) = 4*a + 8. Let n be b(4). Let h = -71/3 + n. Factor -h*o**3 - 5/3*o - 4/3*o**2 - 2/3.
-(o + 1)**2*(o + 2)/3
What is l in 27/4*l - 25/2 - 1/4*l**2 = 0?
2, 25
Let x(a) = -3*a**2 + 42*a - 204. Let y(p) = p + 2. Let w(j) = x(j) + 6*y(j). Let w(t) = 0. Calculate t.
8
Let d(a) = -15*a**2 + 306*a - 7512. Let c(l) = 17*l**2 - 307*l + 7514. Let f(y) = 6