b) be the second derivative of d(b). What is a in o(a) = 0?
-1, 0, 1
Let l(o) be the second derivative of -o**5/70 - o**4/6 - 2*o**3/3 - 8*o**2/7 - o + 7. Find d, given that l(d) = 0.
-4, -2, -1
Suppose 387285 - 1156*v**2 - 387285 - 64*v**4 + 544*v**3 = 0. What is v?
0, 17/4
Let p(k) be the first derivative of 2/35*k**5 + 0*k - 6 + 0*k**2 - 2/21*k**3 + 0*k**4. Factor p(s).
2*s**2*(s - 1)*(s + 1)/7
Let p(j) be the first derivative of -5 + 0*j**3 + 2*j**2 + 0*j + 0*j**4 - 1/120*j**5. Let n(d) be the second derivative of p(d). Factor n(f).
-f**2/2
Let h(z) be the first derivative of -3*z**5/5 + 363*z**4/4 - 3599*z**3 - 11163*z**2/2 + 305. Factor h(u).
-3*u*(u - 61)**2*(u + 1)
Let j(s) = -4*s + 12. Let k be j(3). Let z(x) be the third derivative of 0 - 5*x**2 + k*x**4 + 1/27*x**3 - 1/90*x**5 + 1/270*x**6 + 0*x. Solve z(d) = 0.
-1/2, 1
Let l be 6*(33/9 - 4) + 10. Suppose 3*z + 6*z**4 - 12*z**2 + 21*z - l*z - 16*z**3 + 6 = 0. What is z?
-1, -1/3, 1, 3
Let m(b) be the first derivative of -5*b**6/6 - 13*b**5 - 135*b**4/2 - 310*b**3/3 + 275*b**2/2 + 375*b + 599. Let m(s) = 0. What is s?
-5, -3, -1, 1
Let u be (2/(-5))/((-4)/238). Let a be (2/4)/(1730/(-60) - -29). Solve 44/5*d + 49/5*d**4 + 18/5*d**2 + 8/5 - u*d**a = 0.
-2/7, 1, 2
Let 0 - 3*c**3 - 3/5*c**4 - 24/5*c**2 - 12/5*c = 0. Calculate c.
-2, -1, 0
Factor -9/2 + 13/4*a**2 + 3/4*a - 7/4*a**3 + 1/4*a**4.
(a - 3)**2*(a - 2)*(a + 1)/4
Let m(n) = -12*n**2 + 21*n - 85. Let d(c) = 2*c**2 + c + 1. Let b(l) = 5*d(l) + m(l). Factor b(s).
-2*(s - 8)*(s - 5)
Let j(x) be the second derivative of x**7/42 - 7*x**6/135 - 2*x**5/45 + x**4/6 - x**3/54 - 2*x**2/9 + x - 5. Determine d, given that j(d) = 0.
-1, -4/9, 1
Let s(l) be the third derivative of l**7/210 - 2*l**6/15 + 2*l**5/5 + 40*l**4/3 + 200*l**3/3 + 7*l**2. Determine f so that s(f) = 0.
-2, 10
Let q = 911 + -647. Let b = q + -1842/7. Let b + 4/7*z - 2/7*z**2 = 0. Calculate z.
-1, 3
Let c be 1*(-6)/10 - (-4956)/60. Solve -9*k**2 + 81*k - 12 - 124*k + c*k = 0.
1/3, 4
Let v(x) be the first derivative of 9*x**5/5 + 15*x**4/4 - x**3 - 15*x**2/2 - 6*x + 8. Factor v(n).
3*(n - 1)*(n + 1)**2*(3*n + 2)
Let n(j) be the first derivative of j**8/9240 - j**6/330 - 2*j**5/165 - j**4/44 + 7*j**3/3 - 8. Let s(m) be the third derivative of n(m). Factor s(u).
2*(u - 3)*(u + 1)**3/11
Factor -16/3*b**2 - 40/3 + 164/3*b.
-4*(b - 10)*(4*b - 1)/3
Let a be -3 + 12 + 10 + (-27 - -10). Suppose 2/9*g**4 + 2/9*g**5 - 2/9*g**a - 10/9*g**3 - 8/9 + 16/9*g = 0. What is g?
-2, 1
Let m(z) be the third derivative of 0*z + 0 - 2/165*z**5 - 3/11*z**3 + 10*z**2 - 1/11*z**4. Factor m(n).
-2*(2*n + 3)**2/11
Let g = -2261 - -29401/13. Determine c so that -g - 40/13*c**5 + 2*c**4 - 158/13*c**2 + 116/13*c**3 + 64/13*c = 0.
-2, 1/4, 2/5, 1
Let k = -82 - -84. Factor 5*d**k + 11*d - 23*d + 10 - 14*d - d.
(d - 5)*(5*d - 2)
Factor -23*k - 7 + 26 + k**2 - 6 + 12 + 17.
(k - 21)*(k - 2)
Suppose -323*b + 103*b - 105*b**2 - 5 - 11 - 12 + 8 = 0. What is b?
-2, -2/21
Suppose -292*q + 289*q = -12. Let z(r) be the first derivative of 0*r**3 + 0*r + 1/2*r**6 + 5 + 0*r**2 + 12/5*r**5 + 3*r**q. Factor z(a).
3*a**3*(a + 2)**2
Let y(m) = -m**3 - 63*m**2 + 10*m + 632. Let f be y(-63). Factor 0 - 4/3*w + 4/3*w**f.
4*w*(w - 1)/3
Let j(i) = 83*i**3 + 234*i**2 - 2*i - 15. Let n(g) = 167*g**3 + 466*g**2 - 3*g - 30. Let h(k) = -7*j(k) + 3*n(k). Find v, given that h(v) = 0.
-3, -1/4, 1/4
Factor -4/5 - 3/5*p**2 - 12/5*p + p**3.
(p - 2)*(p + 1)*(5*p + 2)/5
Let u be -9 + 4 - 9/(-1). Let q(i) be the second derivative of -3/40*i**5 + 0 - 1/2*i**u + 2*i - 5/4*i**3 - 3/2*i**2. Factor q(o).
-3*(o + 1)**2*(o + 2)/2
Let i be 6 + (-8 - 280/(-100)). Solve i*y**2 - 4/5*y - 8/5 = 0 for y.
-1, 2
Let l(b) be the first derivative of b**3/12 + 9*b**2/2 - 37*b/4 + 11. Factor l(q).
(q - 1)*(q + 37)/4
Let l = 47 + -191. Let q be (l/70)/(-3) + 4/(-14). Find f such that -1/5*f - 1/5*f**2 + q = 0.
-2, 1
What is f in -16/7 - 8/7*f**2 + 66/7*f = 0?
1/4, 8
Suppose 0 = 112*n - 174*n + 248. Factor 2/5*m**2 + 2/5*m + 0 - 2/5*m**n - 2/5*m**3.
-2*m*(m - 1)*(m + 1)**2/5
Solve 115/4*q**2 + 0 - 9/4*q**3 + 13/2*q = 0.
-2/9, 0, 13
Let s be (-71)/(-2) + (-5)/(-10). Let b = 39 - s. Determine c, given that -2/7*c**5 - 4/7*c**b + 0*c + 0 + 0*c**2 + 6/7*c**4 = 0.
0, 1, 2
Let t(l) be the second derivative of l**7/252 - l**6/45 + l**5/20 - l**4/18 + l**3/36 - 33*l - 5. Find a such that t(a) = 0.
0, 1
Suppose -114 + 114 = -15*o. Let -2/5*i + 4/5*i**2 + o = 0. Calculate i.
0, 1/2
Let f(h) = h**3 + h**2 - 2*h - 2. Let n be f(-2). Let w(v) = 15*v**2 - 37*v + 8. Let s(u) = 30*u**2 - 75*u + 15. Let o(a) = n*s(a) + 5*w(a). Factor o(z).
5*(z - 2)*(3*z - 1)
Factor 1/4*r**2 - 5/4*r + 0.
r*(r - 5)/4
Let t(k) be the second derivative of -k**4/42 + 72*k**3/7 + 31*k**2 + 21*k. Solve t(q) = 0.
-1, 217
Suppose -3*f + 4 + 5 = 0. Determine g, given that 5*g**5 - 10*g**2 + 5*g**4 + f*g - 14*g**3 + 2*g + 5 + 4*g**3 = 0.
-1, 1
Let u be -4*(-4)/16 + 3. Suppose 3*r + u*d = -d + 1, 0 = 5*r - 4*d - 14. Factor 0 - 9/7*z**4 - 1/7*z**r + 4/7*z**5 + 0*z + 6/7*z**3.
z**2*(z - 1)**2*(4*z - 1)/7
Let a(z) be the third derivative of z**5/15 + z**4/2 + 4*z**3/3 + 10*z**2 + 4. What is k in a(k) = 0?
-2, -1
Factor -184/19*u**2 - 72/19*u + 0 - 10/19*u**3.
-2*u*(u + 18)*(5*u + 2)/19
Let b be -2 - ((-4)/(-3))/((-80)/(-60)). Let w be (b + 5)*23/(-18) - -3. Suppose w*q**3 + 2/9*q**4 - 2/9*q**5 + 0*q**2 + 0*q + 0 = 0. Calculate q.
-1, 0, 2
Let g(s) = -2*s + 2. Let v be g(-6). Suppose 2*a - p - 14 = -a, -a + v = -5*p. Factor -z**3 + z**a - 6*z**4 + 4*z**4.
-z**3*(z + 1)
Let h(i) be the first derivative of -5/6*i**4 + 2/15*i**5 - 7/3*i**2 - 26 + 4/3*i + 2*i**3. What is f in h(f) = 0?
1, 2
Let s(q) be the second derivative of q**5/510 + q**4/204 - 2*q**3/51 + q**2/2 - 5*q. Let h(o) be the first derivative of s(o). Factor h(v).
2*(v - 1)*(v + 2)/17
Suppose 0 + 130/7*t**2 + 20/7*t**4 + 12/7*t + 102/7*t**3 = 0. Calculate t.
-3, -2, -1/10, 0
Let v be (9 - 11)/(8/(-3) + 2). Find m, given that 0 - 1/8*m**v - 1/2*m**2 - 3/8*m = 0.
-3, -1, 0
Let q(c) = c**2 + 7*c - 8. Let y be q(-10). Let r = y - 16. Factor 3*m**5 + 5 - 35*m + 26*m - 2 - 9*m**4 + 6*m**3 + r*m**2.
3*(m - 1)**4*(m + 1)
Let x(n) = n + 9. Let z be x(-4). What is w in w**3 - 17*w**3 + 17*w**2 + 12*w**4 + 4 + 15*w**2 - 2*w**z - 18*w - 12*w**3 = 0?
1, 2
Suppose 3*p + 5*b = 2*b, -b = 2. Let w(o) be the first derivative of -4/3*o**3 + 6*o**p - 8*o + 4. Factor w(h).
-4*(h - 2)*(h - 1)
Let r = 23 + -17. Suppose r - 27 = -l. Suppose -l*s**2 + 38*s**2 - 19*s**2 - 4*s = 0. What is s?
-2, 0
Let j(r) be the third derivative of -1/84*r**4 + 1/840*r**6 + 0*r**3 + 0*r - 1/490*r**7 + 1/2352*r**8 + 0 + 9*r**2 + 1/140*r**5. Factor j(c).
c*(c - 2)*(c - 1)**2*(c + 1)/7
Let w be 69/(-21)*-2 - 66/(-154). Let y(a) be the third derivative of 0*a**3 + 0*a + 1/15*a**5 - 6*a**2 + 1/105*a**w + 0*a**4 + 0 - 1/20*a**6. Factor y(m).
2*m**2*(m - 2)*(m - 1)
Let p(n) be the second derivative of -n**6/840 + n**5/140 + 3*n**4/56 + n**3 - 8*n. Let j(l) be the second derivative of p(l). Factor j(w).
-3*(w - 3)*(w + 1)/7
Suppose -5*b - 20 = -2*a - 0*a, 2*a - 8 = -b. Let s = 1 - b. What is k in -2 + 3*k - 2*k + k**s - 4*k = 0?
-1, 2
Factor 0 + 0*y + 0*y**2 - 3*y**4 - 1/2*y**5 + 7/2*y**3.
-y**3*(y - 1)*(y + 7)/2
Suppose 4*l - 14 = 5*l. Let u = 19 + l. Let -4*y**u - 3*y**4 + 5*y**5 + y**3 + y**5 = 0. What is y?
0, 1/2, 1
Suppose 7/4*d**3 - 1/4*d**4 - 1 - 15/4*d**2 + 13/4*d = 0. Calculate d.
1, 4
Let a(l) be the second derivative of -l + 0 + 1/10*l**6 + 3/10*l**5 + 0*l**2 + 1/4*l**4 + 0*l**3. Suppose a(h) = 0. Calculate h.
-1, 0
Let g(w) be the third derivative of w**6/900 - 7*w**5/300 + w**4/10 - 13*w**3/3 + 3*w**2. Let k(v) be the first derivative of g(v). Let k(x) = 0. What is x?
1, 6
Let x(l) = -l**4 - l**3 + l**2 - 1. Let u(i) = 28*i**4 - 37*i**3 - 3*i**2 + 7. Let o(f) = 2*u(f) + 14*x(f). Factor o(b).
2*b**2*(b - 2)*(21*b - 2)
Let k(v) be the first derivative of 6 + 2/27*v**3 - 1/9*v**2 + 0*v. Factor k(y).
2*y*(y - 1)/9
Suppose 8*i - 4*i = 3*c - 12, 0 = 3*i + 2*c - 8. Let w(z) be the third derivative of 0 + 0*z**3 + i*z + 1/40*z**5 + 2*z**2 + 1/8*z**4. What is f in w(f) = 0?
-2, 0
Let -2/9*k - 8/3 + 2/9*k**3 + 8/3*k**2 = 0. What is k?
-12, -1, 1
Let c(q) be the third derivative of -30*q**