econd derivative of -d**4/54 - d**3/3 - 8*d**2/9 + 2*d - 9. Solve p(a) = 0 for a.
-8, -1
Let f(g) be the second derivative of g**4/6 + 2*g**3 + 5*g**2 + 22*g. Let f(x) = 0. Calculate x.
-5, -1
Let g be (-2)/(-5) - (-38)/5. Suppose 3*v**2 - v**2 - 4*v**2 + 8*v - g = 0. What is v?
2
Let a be ((-4)/(-12))/((-1)/(-12)). Suppose 0 = 3*j - 5*j + a. Find i, given that 1/2*i + 1/4 + 0*i**j - 1/2*i**3 - 1/4*i**4 = 0.
-1, 1
Let a = 115/78 + 1/39. Let 1/2*s**2 + 1 - a*s = 0. What is s?
1, 2
Let k = -1384 - -4156/3. Factor -2*o**2 - 1/3*o**4 - 4/3*o**3 - 1/3 - k*o.
-(o + 1)**4/3
Let t(j) = -3*j**3 - 25*j**2 - 19*j + 22. Let v(a) = -a**3 - 8*a**2 - 6*a + 7. Let p(y) = 2*t(y) - 7*v(y). Let n be p(-5). Factor n + 2/5*l**2 + 0*l + 2/5*l**3.
2*l**2*(l + 1)/5
Let l(s) be the first derivative of 4*s**3/3 + 2*s**2 - 8*s + 1. Let l(x) = 0. What is x?
-2, 1
Let n(h) = -h**3 + 9*h**2 - 17*h - 6. Let x be n(6). Factor -1/3*k**5 - 1/3*k**4 + x + 1/3*k**2 + 0*k + 1/3*k**3.
-k**2*(k - 1)*(k + 1)**2/3
Let w be -13 + (-4)/(-2) + 0. Suppose 4*j = 3*j + 4. Let v(r) = 17*r**2 - 6*r - 1. Let h(s) = 6*s**2 - 2*s. Let g(k) = j*v(k) + w*h(k). Factor g(p).
2*(p - 2)*(p + 1)
Solve -k**2 + 243 + 5*k**2 - 55*k + k - k**2 = 0 for k.
9
Let h(u) = -u**3 + 5*u**2 + 7*u. Let l be h(6). Suppose 3 = 3*s - l. Find c such that -8*c + 8/9 + 32/9*c**4 + 194/9*c**2 - 16*c**s = 0.
1/4, 2
Let b(r) be the third derivative of r**7/945 + 2*r**6/135 + 2*r**5/27 + 4*r**4/27 - 7*r**2. Factor b(k).
2*k*(k + 2)**2*(k + 4)/9
Find i, given that -3*i**2 + 4*i**2 - 10 - 3*i**2 + 12*i = 0.
1, 5
Let c(u) be the first derivative of u**6/30 + 4*u**5/15 + 2*u**4/3 - 9*u**2/2 - 4. Let s(t) be the second derivative of c(t). Factor s(f).
4*f*(f + 2)**2
Let l(p) = p - 2. Let r(w) = -2*w - 4. Let k be r(-5). Let c be l(k). Factor 2*x**5 - x**c - x**4 - 2*x**3 - x**2 + 3*x**2.
2*x**2*(x - 1)**2*(x + 1)
Let h(i) be the second derivative of -i**7/126 - i**6/30 - i**5/30 - 3*i. Let h(l) = 0. What is l?
-2, -1, 0
Suppose 2*c - 18 = -2*o - 14, -3*c + 18 = -o. Let -32/3*l - 38/3*l**3 + 50/3*l**2 + 8/3 + 14/3*l**4 - 2/3*l**c = 0. Calculate l.
1, 2
Let g(j) be the second derivative of -j**7/420 + j**6/240 - j**2 - 3*j. Let y(l) be the first derivative of g(l). Determine m, given that y(m) = 0.
0, 1
Let s(n) be the third derivative of -n**7/105 + n**6/60 + n**5/10 - 5*n**4/12 + 2*n**3/3 - 5*n**2. What is g in s(g) = 0?
-2, 1
Let d be -3 - 0 - (11 + -17). Let -4/3*x - 2/3*x**d + 0 - 2*x**2 = 0. Calculate x.
-2, -1, 0
What is j in 0*j**2 - 2/7*j + 2/7*j**3 + 0 = 0?
-1, 0, 1
Solve 0 - 2/13*p**2 + 0*p + 2/13*p**3 = 0.
0, 1
Suppose 2*n + 6 = 5*y + 5*n, -4*n + 8 = y. Let k(c) be the first derivative of 1 + y*c**2 + 0*c + 1/9*c**3 - 1/15*c**5 - 1/18*c**6 + 1/12*c**4. Factor k(l).
-l**2*(l - 1)*(l + 1)**2/3
Suppose -2*o - 2*q = 3 - 17, 0 = o - 5*q + 23. Find c such that -4/9*c**3 - o*c**4 - 14/9*c**5 + 0 + 0*c**2 + 0*c = 0.
-1, -2/7, 0
Factor 2/11*j**3 - 2/11*j**2 + 0*j + 0.
2*j**2*(j - 1)/11
Suppose 5*l = a + 11, -2*a + 3*a = 2*l - 2. Suppose 5*h + 5 = -3*f, -l*f - 13 = -h + 2*h. Solve -4/3*o**5 - 2/3*o + 0 - 2/3*o**4 + h*o**3 + 2/3*o**2 = 0.
-1, 0, 1/2, 1
Let p = -2 + -2. Let n be (9/(-6))/(2/p). What is k in 2 - 4 - 3*k**2 + n*k - 2*k**2 + 4*k**2 = 0?
1, 2
Let u(f) be the first derivative of -2*f**5/65 + 2*f**3/39 + 8. Factor u(a).
-2*a**2*(a - 1)*(a + 1)/13
Suppose -1/3*l - l**4 + l**2 + 0 + 1/3*l**3 = 0. Calculate l.
-1, 0, 1/3, 1
Suppose 3 = 3*u - 6. Let k(s) be the first derivative of u*s**3 + 2 + 2*s + 11/2*s**2. Factor k(b).
(b + 1)*(9*b + 2)
Suppose 33 = -2*g + 13*g. Solve 0 - 3*u**g - 2/3*u - 5/3*u**4 - 7/3*u**2 - 1/3*u**5 = 0.
-2, -1, 0
Factor -2 - m + 380*m**2 - 379*m**2 - 4.
(m - 3)*(m + 2)
Let o(i) be the third derivative of 0 + 0*i + 1/10*i**3 + 0*i**4 - 1/100*i**6 - 3/100*i**5 + 2*i**2. Factor o(g).
-3*(g + 1)**2*(2*g - 1)/5
Let u = -27 - -38. Let j = u - 7. What is b in 7*b**3 + 2*b**5 + 2*b + b**4 - 9*b**j - 8*b**2 + 5*b**3 = 0?
0, 1
Let c(s) = -8*s**2 + 9*s + 5. Let r(g) = -16*g**2 + 17*g + 9. Let l = 8 - 11. Let p(i) = l*r(i) + 5*c(i). Factor p(o).
2*(o - 1)*(4*o + 1)
Let b be (-1 - -1)/(19 - 20). Let y(g) be the second derivative of b*g**4 - 3/50*g**5 - 3*g + 0*g**2 + 4/15*g**3 - 1/75*g**6 + 0. Factor y(f).
-2*f*(f - 1)*(f + 2)**2/5
Let 1/3*t**4 + 1/3*t**3 - t**2 - 1/3*t + 2/3 = 0. Calculate t.
-2, -1, 1
Suppose 0 = 2*y - 11*y + 36. Find g such that g**3 + 2/3*g - 5/3*g**2 + 0 + 1/3*g**y - 1/3*g**5 = 0.
-2, 0, 1
Let t be (2/3)/(2/6). Factor -t*l + 5*l - 5*l**2 + 8*l**2.
3*l*(l + 1)
Let t(b) be the third derivative of -b**9/12096 - b**8/3360 + b**3/2 + b**2. Let x(h) be the first derivative of t(h). Factor x(u).
-u**4*(u + 2)/4
Let u be -2 + (-24)/20 + 4. Let b(i) be the second derivative of -13/30*i**4 + 3/25*i**5 + 3*i - 1/75*i**6 + 4/5*i**3 - u*i**2 + 0. Find z, given that b(z) = 0.
1, 2
Let n(s) be the second derivative of -s**5/20 - s**4/6 - s**3/6 - 23*s. Solve n(x) = 0 for x.
-1, 0
Let l(k) be the second derivative of -2*k**7/21 - 8*k**6/15 - 3*k**5/5 + 9*k. Solve l(f) = 0 for f.
-3, -1, 0
Factor 0 + 0*q - 2/3*q**5 - 2/3*q**4 + 0*q**2 + 0*q**3.
-2*q**4*(q + 1)/3
Suppose -3*p = -36 - 45. Factor -p*l**2 - 81*l - 10*l**3 - 16 - 65 + 7*l**3.
-3*(l + 3)**3
Let h(r) be the first derivative of r**6/45 - r**4/30 - 1. Determine u, given that h(u) = 0.
-1, 0, 1
Let r be 4/(3/(9/6)). Find n, given that -r*n**5 + 2*n - 4*n**3 - n**5 + 5*n**5 = 0.
-1, 0, 1
Let z(w) = -w**3 + 21*w**2 - 33*w - 95. Let i be z(19). Factor 8/5*v + i + 4/5*v**2.
4*v*(v + 2)/5
Suppose a - 3*a - 20 = -5*d, 20 = 2*a + 5*d. Let j(w) be the second derivative of 0 - 1/42*w**4 + a*w**2 + 1/21*w**3 + w. Suppose j(f) = 0. What is f?
0, 1
Let o be (-24)/(-45) - (-5)/(-30 + 5). Factor -r**2 + 1/3*r**3 - o + r.
(r - 1)**3/3
Let r(k) = 2*k + 2. Let g(w) = -3*w - 3. Let p(d) = -5*g(d) - 8*r(d). Let v(f) = -4*f**2 + 12*f + 16. Let s(a) = -20*p(a) - v(a). Factor s(l).
4*(l + 1)**2
Solve 12/11*x - 2/11*x**3 + 0 - 2/11*x**2 = 0 for x.
-3, 0, 2
Let l be (1 + 2)*(1 - 0). Suppose m + l*m = 8. Factor 689*w**3 + 769*w**3 - 16 + 216*w - 289*w**2 - 416*w**2 - 267*w**m.
2*(9*w - 2)**3
Suppose -34*t + 2*a = -29*t - 14, 3*a = -6. Determine g, given that 0*g + 0*g**t + 0 + 1/2*g**3 + 1/6*g**4 = 0.
-3, 0
Let c(t) be the first derivative of -2 - 1/48*t**4 - 1/6*t**3 - 2*t - 1/2*t**2. Let y(g) be the first derivative of c(g). Find s, given that y(s) = 0.
-2
Let n(x) = -x**2 - 10*x - 6. Let d be n(-9). Let o be -4*(d/6 + -1). Let -1/2*t**2 - 2 - o*t = 0. What is t?
-2
Let u(c) be the third derivative of -4*c**2 + 0 - 3/35*c**7 - 1/5*c**6 + 0*c**3 + 0*c + 0*c**4 + 2/15*c**5 + 1/24*c**8. Let u(m) = 0. Calculate m.
-1, 0, 2/7, 2
Let h(b) be the second derivative of -b**7/1575 - b**6/1800 + b**4/4 + 3*b. Let k(s) be the third derivative of h(s). Factor k(g).
-2*g*(4*g + 1)/5
Let x(f) be the second derivative of -f**4/66 - 2*f**3/11 - 9*f**2/11 - 9*f. Determine d so that x(d) = 0.
-3
Let a(m) be the third derivative of m**5/20 + 5*m**4/8 + 3*m**3 - 16*m**2. Factor a(j).
3*(j + 2)*(j + 3)
Factor 2/5*r**2 + 0*r - 8/5.
2*(r - 2)*(r + 2)/5
Let a(w) be the second derivative of 0*w**2 + 1/21*w**3 - 1/105*w**6 + 0 - 3*w - 1/70*w**5 + 1/42*w**4. Let a(v) = 0. What is v?
-1, 0, 1
Factor -2/11*g**2 - 18/11 - 12/11*g.
-2*(g + 3)**2/11
Let j(r) be the third derivative of 7/6*r**4 - 8/15*r**5 + 4/105*r**7 - 1/84*r**8 + 1/15*r**6 + 0 - 6*r**2 + 0*r - 4/3*r**3. Let j(b) = 0. Calculate b.
-2, 1
Factor -12/7*f**3 - 24/7*f - 8/7 - 26/7*f**2 - 2/7*f**4.
-2*(f + 1)**2*(f + 2)**2/7
Let d(u) be the second derivative of 1/10*u**5 + 0*u**3 + 1/6*u**4 + 0 + u + 0*u**2. Find v, given that d(v) = 0.
-1, 0
Let v(o) be the first derivative of 1/9*o**3 + 5/12*o**2 - 1/3*o + 4 - 5/24*o**4. Factor v(q).
-(q - 1)*(q + 1)*(5*q - 2)/6
Let y be 2/5*(43/6 + -7). Let c(x) be the second derivative of 1/6*x**4 - 2*x + 0*x**3 - y*x**6 + 0*x**2 + 0 + 0*x**5. Suppose c(n) = 0. What is n?
-1, 0, 1
Let a(j) be the first derivative of j**4/10 + 4*j**3/15 - 7*j**2/5 + 8*j/5 - 16. Factor a(d).
2*(d - 1)**2*(d + 4)/5
Let r(f) be the third derivative of -f**7/525 + f**6/100 - f**5/50 + f**4/60 - 4*f**2. Determine t so that r(t) = 0.
0, 1
Let x be 78/117*15/2. Factor 0*g**2 + g**4 + 1/2*g**x + 0 + 0*g + 1/2*g**3.
g**3*(g + 1)