2/3*z**2 + 2/3 + 2/3*z = 0?
-1, 1
Determine s so that 0 - 2/5*s**2 + 52/5*s = 0.
0, 26
Let i(n) = -2*n + 15. Let m be i(6). Find d such that -m*d**3 - 4*d**2 - 5*d**3 + 6*d + 20*d**5 + 4 - 18*d**5 = 0.
-1, 1, 2
Let s(y) be the third derivative of -23*y**2 + 0 + 1/15*y**5 + 0*y - 1/60*y**6 + 1/12*y**4 - 2/3*y**3. Factor s(r).
-2*(r - 2)*(r - 1)*(r + 1)
Suppose -10*q = -9*q - 2. Let j be (-54)/(-30) + -2*(-1)/q. Let 0 + 8*f**2 - 16/5*f - 36/5*f**3 + j*f**4 - 2/5*f**5 = 0. What is f?
0, 1, 2
Let o be 4/(-9)*(-21)/56. Let p(y) be the second derivative of -y + 0 + 0*y**2 + o*y**4 - 2/27*y**3. Factor p(h).
2*h*(9*h - 2)/9
Suppose -b + 4 = 2*r, 4*r - 9 + 1 = 3*b. Let s(m) be the first derivative of -1/6*m**4 + b*m + 0*m**5 + 0*m**2 + 0*m**3 - 11 + 1/9*m**6. Factor s(a).
2*a**3*(a - 1)*(a + 1)/3
Let s(v) be the first derivative of v**8/336 + v**7/84 + v**6/72 - 2*v**3/3 - 4. Let p(k) be the third derivative of s(k). Factor p(c).
5*c**2*(c + 1)**2
Factor -16*d**2 - 4*d - 14*d**2 + 34*d**2.
4*d*(d - 1)
Determine j so that 7*j**2 - 4*j**3 + 9*j**4 - 8*j**4 - 4*j**2 = 0.
0, 1, 3
Let s(c) be the first derivative of 6*c + 11*c**3 - 39/2*c**2 - 6. Factor s(u).
3*(u - 1)*(11*u - 2)
Let r(k) be the third derivative of -k**8/672 - k**7/210 + k**6/30 - k**5/60 - 7*k**4/48 + k**3/3 - 92*k**2. Factor r(h).
-(h - 1)**3*(h + 1)*(h + 4)/2
Let k(j) = -99 - 112 + 2*j**2 + j - j**2 + 196. Let i be k(-5). Factor 0*n**4 + 0 + 4/5*n**3 - 2/5*n - 2/5*n**i + 0*n**2.
-2*n*(n - 1)**2*(n + 1)**2/5
Suppose -2*l - 8 = -3*o, 4*l - 18 = -2*o - 2. Let u be (2/(-5))/((-1)/5). Factor -4*g**2 - 3*g**3 + g**u + g**2 - o*g**2.
-3*g**2*(g + 2)
Find s such that -2/3*s**3 + 0 + 44/3*s**2 - 242/3*s = 0.
0, 11
Let b(l) be the third derivative of 0*l + l**2 + 0 - 1/210*l**5 - 4/21*l**3 + 1/21*l**4. Suppose b(z) = 0. What is z?
2
Let v(z) be the first derivative of -z**6/18 - 17*z**5/15 - 29*z**4/12 + 17*z**3/9 + 5*z**2 - 749. Let v(t) = 0. What is t?
-15, -2, -1, 0, 1
Let i = -1/71305 + 85567/71305. Determine u so that 0*u - 2/5*u**3 + 0 - i*u**2 = 0.
-3, 0
Let 128 + 4*y**3 + 25*y**2 - 72*y + 9*y**2 + 17*y**2 - 111*y**2 = 0. Calculate y.
-2, 1, 16
Let z(g) be the second derivative of -g**6/30 + g**4/6 - g**2/2 - 3*g + 1. Factor z(k).
-(k - 1)**2*(k + 1)**2
Let g(l) = l**3 + 12*l**2 - 12*l + 13. Let r be g(-13). Let r*s**3 - 3*s**5 - 4*s**3 - 12*s**4 - s**5 + 8*s + 12*s**2 = 0. What is s?
-2, -1, 0, 1
Factor 48/5*c + 288/5 + 2/5*c**2.
2*(c + 12)**2/5
Find p such that -6479*p**2 - 32400*p - 2074*p**3 + 407*p**3 - 133*p**3 - 5*p**5 + 38880 + 17279*p**2 + 150*p**4 = 0.
6
Factor -10/3*v**2 + 16/3*v + 2/3*v**3 - 8/3.
2*(v - 2)**2*(v - 1)/3
Let g = -1506 + 1510. Let y(o) be the second derivative of 1/30*o**6 - 1/12*o**g + 1/20*o**5 + 6*o + 0*o**2 + 0 - 1/6*o**3. Let y(m) = 0. What is m?
-1, 0, 1
Suppose x - 159 + 159 = 0. Factor -3/4*i**4 + 3/2*i + x*i**3 + 0 + 9/4*i**2.
-3*i*(i - 2)*(i + 1)**2/4
Let -88/5*p - 42/5*p**4 - 562/5*p**3 - 704/5*p**2 + 96/5 = 0. What is p?
-12, -1, -2/3, 2/7
Let k(y) be the third derivative of -11*y**7/280 + y**6/80 + 77*y**5/80 - 5*y**4/2 + 3*y**3/2 + 22*y**2 + 5*y. Find m such that k(m) = 0.
-3, 2/11, 1, 2
Let k(z) be the second derivative of z**4/78 + 16*z**3/39 + 64*z**2/13 - 45*z. What is f in k(f) = 0?
-8
Let y(t) be the third derivative of -t**5/60 - 11*t**4/24 + 13*t**3/3 + 89*t**2 - 1. Factor y(g).
-(g - 2)*(g + 13)
Let g(j) be the first derivative of 4/3*j**3 + 0*j - 7 + 0*j**2 + j**4 - 4/5*j**5 - 2/3*j**6. What is c in g(c) = 0?
-1, 0, 1
Factor 0 - 34/7*f**2 - 2/7*f**3 - 32/7*f.
-2*f*(f + 1)*(f + 16)/7
Let n(x) be the third derivative of -x**5/150 + x**4/60 + 2*x**3/15 + 160*x**2. Suppose n(y) = 0. What is y?
-1, 2
Let c be 14 + 4*330/(-100). Factor -c*t + 1/5*t**2 + 3/5.
(t - 3)*(t - 1)/5
Factor -32/5*m**3 + 0 + 2/5*m**4 + 0*m**2 + 0*m.
2*m**3*(m - 16)/5
Suppose -28 - 35 = -7*n. Suppose -n*u = -u. Determine t, given that 0*t + 0*t**3 + 1/4*t**5 + u + 0*t**4 + 0*t**2 = 0.
0
Let i(b) be the third derivative of -b**8/171360 + b**6/6120 - b**5/30 + 6*b**2. Let w(x) be the third derivative of i(x). Factor w(p).
-2*(p - 1)*(p + 1)/17
Let n = -33 - -39. What is a in -2 + 8 - 36*a**2 + 32*a**2 - 8*a + n = 0?
-3, 1
Let n(r) = 2. Let a(w) = 8*w**4 - 92*w**3 + 196*w**2 - 148*w + 30. Let k(b) = -a(b) - 3*n(b). Determine x, given that k(x) = 0.
1/2, 1, 9
Let o(k) = -2*k**3 - 67*k**2 + 134*k - 68. Let m(z) = 7*z**3 + 269*z**2 - 537*z + 272. Let w(j) = -6*m(j) - 22*o(j). Factor w(q).
2*(q - 68)*(q - 1)**2
Factor 376/3*v**2 + 20 - 244/3*v + 76/3*v**4 - 88*v**3 - 4/3*v**5.
-4*(v - 15)*(v - 1)**4/3
Let a(n) be the first derivative of -1/3*n**4 - 2*n**2 - 1 + 4/3*n + 4/3*n**3. Factor a(x).
-4*(x - 1)**3/3
Factor -18 + 14*w + w - 104*w + 5*w**2.
(w - 18)*(5*w + 1)
Let c(y) be the first derivative of y**4/12 - y**3/9 - 2*y**2/3 + 4*y/3 - 105. Solve c(i) = 0 for i.
-2, 1, 2
Factor 1/4*x**2 - 107/4*x + 0.
x*(x - 107)/4
Let k(v) be the first derivative of v**5/10 - 5*v**4/8 - 7*v**3/6 + 5*v**2/4 + 3*v + 115. Factor k(s).
(s - 6)*(s - 1)*(s + 1)**2/2
Let q(y) = 94*y - y + 0*y**2 + 2*y - 30 + 5*y**2. Let v(x) = -x**2 - 16*x + 5. Let f(w) = -6*q(w) - 35*v(w). Factor f(o).
5*(o - 1)**2
Let z be 8/28 - (2411/(-14) + 2). Let r = z - 169. Factor 0 + r*y**2 - 15/8*y**4 + 9/4*y**3 - 3*y + 3/8*y**5.
3*y*(y - 2)**3*(y + 1)/8
Let x(j) be the third derivative of -j**5/80 + j**4/32 + j**3/4 + 7*j**2 - 3. Determine q, given that x(q) = 0.
-1, 2
Let v(a) = -4*a**3 - 40*a**2 - 124*a + 160. Let h(m) = -5*m**3 - 43*m**2 - 123*m + 159. Let j(f) = -4*h(f) + 6*v(f). Determine d so that j(d) = 0.
-9, 1
Let w = -1578 + 1580. Find c such that 2*c**w + 0 - 4/3*c - 2/3*c**3 = 0.
0, 1, 2
Let w(y) = -y**3 - 15*y**2 - 12*y + 32. Let k be w(-14). Factor 0*n**k + 4*n**5 - 2*n + 8*n**2 - 4*n**4 - 2*n**5 - 4*n**2.
2*n*(n - 1)**3*(n + 1)
Let x be 2/(-26)*(8 - 65989). Let p = x - 5073. Factor 48/13*b - p*b**2 - 18/13.
-2*(4*b - 3)**2/13
Let k(s) = -s - 5. Suppose 0*x - 5*x + 15 = 0, 2*h + 28 = 4*x. Let f be k(h). Determine y so that 0*y + 0*y**f + 0*y**2 - 1/4*y**4 + 0 = 0.
0
Let 2*c**2 - 6 - c + 7*c - 2*c = 0. What is c?
-3, 1
Factor 4/3 - 4/9*g**2 - 2/9*g**3 + 10/9*g.
-2*(g - 2)*(g + 1)*(g + 3)/9
Suppose 0 = -5*p + 6*p - 3. Let 4*d**4 + 4*d**3 - 3*d**4 - 4*d**4 + d**5 - 2*d + 3*d**2 - p*d**3 = 0. What is d?
-1, 0, 1, 2
Let n be (104/(-130))/(8/(-20)). Factor -9/4*z**n + 9/4*z + 3/4*z**3 - 3/4.
3*(z - 1)**3/4
Let q(z) be the second derivative of z**7/21 + 2*z**6/15 + 2*z - 7. Factor q(n).
2*n**4*(n + 2)
Let c(r) be the third derivative of r**8/42 - 3*r**7/35 - r**6/30 + 3*r**5/10 - r**4/6 - r**2 - 23. Solve c(b) = 0.
-1, 0, 1/4, 1, 2
Let p = -973 + 975. Let h(n) be the first derivative of 1/3*n**3 + 8 + 0*n**p - n. Suppose h(r) = 0. Calculate r.
-1, 1
Let w(u) be the first derivative of -3*u**4/20 - 3*u**3 + 78*u**2/5 - 108*u/5 - 236. Factor w(g).
-3*(g - 2)*(g - 1)*(g + 18)/5
Let g(t) be the third derivative of t**8/840 - t**6/150 + t**4/60 + t**2 + 217. Suppose g(l) = 0. What is l?
-1, 0, 1
Let n(x) be the second derivative of 11*x**7/63 + 68*x**6/45 + 67*x**5/30 + 5*x**4/9 + 2*x + 201. Solve n(i) = 0.
-5, -1, -2/11, 0
Let y = 11 + -12. Let m = 2 - y. Factor -3*r**5 - 12*r + 0*r**5 - 2*r**4 + 36*r**2 + 20*r**4 - 39*r**m.
-3*r*(r - 2)**2*(r - 1)**2
Determine l, given that -57*l - 1 + 21*l**3 + 9*l**2 - 5*l**4 + 2*l**4 - 17 - 24 = 0.
-1, 2, 7
Let z(j) be the second derivative of j**5/20 + j**4/2 + 2*j**3/3 - j**2 + 2*j. Let i be z(-5). Solve -8*k**3 + 4*k**3 - 4*k + k**i - 5*k**3 - 8 + 20*k**2 = 0.
-1/2, 1, 2
Let b be (0 - 129 - -11)*5/12. Let y = -97/2 - b. Suppose -y*a**2 + 0 + 2*a = 0. Calculate a.
0, 3
Let w(y) be the third derivative of y**5/12 - 45*y**4/8 + 125*y**3/3 + 579*y**2. Factor w(u).
5*(u - 25)*(u - 2)
Let t(u) be the second derivative of u**5/140 - u**4/84 - 54*u - 1. Factor t(b).
b**2*(b - 1)/7
Let l(x) be the first derivative of 5*x**3/3 + 20*x**2 + 35*x - 14. Factor l(g).
5*(g + 1)*(g + 7)
Suppose 359*y = 363*y - 16. Factor 0 - 4/5*h**y + 2/5*h - 2/5*h**5 + 4/5*h**2 + 0*h**3.
-2*h*(h - 1)*(h + 1)**3/5
Factor -3/2*f**3 + 27/2*f**2 + 0*f + 0.
-3*f**2*(f - 9)/2
Let i(w) be the third derivative of -w**6/120 + w**4/2 + 8*w**3/3 - 2*w**2 + 31. Find u such that i(u) = 0.
-2, 4
Determine g, given that 