- 1)*(x + 1)/13
Suppose 42*p + 4 = 43*p. Suppose -p*a = -4*a - 2*a. Let 0 + 0*c**2 + a*c + c**4 - 3/4*c**3 - 1/4*c**5 = 0. Calculate c.
0, 1, 3
Let j(x) be the third derivative of -1/270*x**5 - x**2 + 2/27*x**3 + 0 + 0*x + 1/108*x**4. Factor j(p).
-2*(p - 2)*(p + 1)/9
Let d be 10/105 + 628/1099. What is p in 0*p + 1/3*p**4 - d*p**3 + 0 + 0*p**2 = 0?
0, 2
Let n(y) be the third derivative of 121*y**7/1050 + 143*y**6/300 + 71*y**5/100 + 13*y**4/30 + 2*y**3/15 + 53*y**2. Factor n(v).
(v + 1)**2*(11*v + 2)**2/5
Let y be ((-2)/(-1))/6 - (-672)/252. Factor -5/4*t**2 + 0*t + 0 + 5/2*t**y - 5/4*t**4.
-5*t**2*(t - 1)**2/4
Let x(p) be the first derivative of p**4/2 - 4*p**3/3 - 7*p**2 - 8*p - 85. Solve x(w) = 0.
-1, 4
Let y(j) be the third derivative of -15*j**8/112 + 143*j**7/21 - 280*j**6/3 - 128*j**5/3 - 555*j**2. Factor y(m).
-5*m**2*(m - 16)**2*(9*m + 2)
Factor 0 - 2/3*a**4 + 2/3*a**2 - 2/3*a + 2/3*a**3.
-2*a*(a - 1)**2*(a + 1)/3
Let q(k) be the second derivative of k**6/15 + 4*k**5/5 - 11*k**4/6 - 6*k**3 - 49*k - 1. What is h in q(h) = 0?
-9, -1, 0, 2
Let a(x) = 3*x**2 + 29*x + 20. Let n be a(-9). Let y(p) be the third derivative of 0*p**3 + 0*p + 1/30*p**5 + 1/12*p**4 - 2*p**n + 0. Factor y(k).
2*k*(k + 1)
Let y = 2341/12 + -195. Let o(q) be the second derivative of -y*q**3 - 1/16*q**4 - 2*q + 0 + 0*q**2. Find a, given that o(a) = 0.
-2/3, 0
Let k(p) be the second derivative of 5/6*p**3 - 7/4*p**5 + 0 + 0*p**2 - 5/6*p**4 - 2/3*p**6 - 11*p. Factor k(n).
-5*n*(n + 1)**2*(4*n - 1)
Let v(q) be the second derivative of -9*q + 3/2*q**5 - 3/10*q**6 - 23/6*q**4 + 1/42*q**7 + 11/2*q**3 + 0 - 9/2*q**2. Factor v(j).
(j - 3)**2*(j - 1)**3
Let r = 36 - 20. Suppose -12 = 10*i - r*i. Factor -51 - 2*m**2 - 8 - m**i + 24*m + 11.
-3*(m - 4)**2
Let y(m) = m**3 - 16*m**2 + 17*m - 28. Let j be y(15). Factor -5*s**3 + 40 + 34*s**2 + 32*s - 18*s - 99*s + 16*s**j.
-5*(s - 8)*(s - 1)**2
Let r(k) be the first derivative of -k**5/4 + 11*k**4/16 + k**3/6 - k**2 + 297. Factor r(p).
-p*(p - 2)*(p - 1)*(5*p + 4)/4
Let q(m) = -m**2 - 2*m + 6. Let x be q(-6). Let k = x - -21. Solve -6*p**2 - 4*p**4 + p**5 + 11*p**5 - k*p**5 + 21*p**3 - 20*p**4 = 0 for p.
0, 2/3, 1
Determine l so that -1167 - 5*l**2 + 1151 + 0*l**2 + 52*l - 7*l**2 = 0.
1/3, 4
Let c(t) be the second derivative of 0 + 1/42*t**4 + 0*t**3 + 2*t + 0*t**2 + 1/140*t**5. Suppose c(h) = 0. What is h?
-2, 0
Let p(l) be the first derivative of -l**4/10 - 8*l**3/3 - 19*l**2/5 + 284. Solve p(s) = 0.
-19, -1, 0
Let w(d) be the third derivative of 0 - 13/8*d**4 - 3*d**3 + 0*d + 34*d**2 + 1/40*d**7 + 49/40*d**5 - 47/160*d**6. Determine z, given that w(z) = 0.
-2/7, 2, 3
Let q(k) = -2*k**3 - 8*k**2 + 25*k + 6. Let l be q(-6). Suppose -2*h - 5*j + 9 = -5*h, h = j - 1. Let -3/5*m**4 + 0*m**h - 9/5*m**3 + 12/5*m + l = 0. What is m?
-2, 0, 1
Suppose -61 = 3*z + 344. Let y be 6/z*-5 + 23/18. What is k in -1/2*k**2 - 1 + y*k = 0?
1, 2
Suppose 4*x + 30*x = 4*x. Factor 0 + 2/7*m**3 + x*m**2 + 1/7*m**4 + 0*m.
m**3*(m + 2)/7
Let k be (-186)/(-837) - 4/18. Let l(i) be the first derivative of -1/12*i**6 + 1/8*i**4 + 1/10*i**5 + 0*i + 3 + k*i**2 - 1/6*i**3. Factor l(v).
-v**2*(v - 1)**2*(v + 1)/2
Let u(q) be the first derivative of 0*q - 1/36*q**5 + 9/2*q**2 - 2/9*q**3 + 4 + 1/6*q**4. Let c(s) be the second derivative of u(s). Factor c(v).
-(v - 2)*(5*v - 2)/3
Let g = 534 - 534. Let t(m) be the third derivative of 0*m - m**2 + g + 4/21*m**3 + 2/21*m**4 - 1/42*m**5. Find d such that t(d) = 0.
-2/5, 2
Let z(h) = 2*h**3 - h**2 + 3*h + 3. Let l(a) = -3 - a + 0 + 1 - a**3 + 1. Let r be ((-1)/(-2))/(3/(-6)). Let j(t) = r*z(t) - 3*l(t). Factor j(y).
y**2*(y + 1)
Let z be 3/(-4*(-30)/80). Factor -7/3*l**z - 4/3 + 20/3*l - 3*l**3.
-(l - 1)*(l + 2)*(9*l - 2)/3
Let u(l) be the second derivative of l**8/840 + l**7/420 - l**3/6 - l**2 - 15*l + 1. Let c(n) be the second derivative of u(n). Let c(x) = 0. Calculate x.
-1, 0
Let n(r) be the second derivative of -3*r**5/20 + 3*r**4 + r**3/2 - 18*r**2 + 16*r + 3. Solve n(i) = 0.
-1, 1, 12
Let k = -205 - -137. Let l be k/(-144) - (-3)/(-12). Factor 0 - l*w**3 - 4/9*w**2 - 2/9*w.
-2*w*(w + 1)**2/9
Let g(m) be the second derivative of m**6/15 - m**5/10 - 5*m**4/3 + 4*m**3/3 + 24*m**2 - 2*m - 12. Find j, given that g(j) = 0.
-2, 2, 3
Factor -1589*y - 88*y**2 - 5910*y - 12184*y - y**3 + 0*y**3 - 531441 - 155*y**2.
-(y + 81)**3
Let n(c) be the first derivative of 7*c**6/6 + 4*c**5 + 5*c**4/4 - 20*c**3/3 - 6*c**2 + 137. Find i, given that n(i) = 0.
-2, -1, -6/7, 0, 1
Let d(k) = -77*k - 231. Let g be d(-3). Factor 0 - 1/4*f**2 + g*f.
-f**2/4
Factor 445304 - 2*s**2 + 279*s + 8*s**2 - 445445.
3*(s + 47)*(2*s - 1)
Let c(n) be the first derivative of -n**8/336 + n**7/84 - n**6/72 + 11*n**3/3 + 10. Let u(h) be the third derivative of c(h). Factor u(y).
-5*y**2*(y - 1)**2
Suppose -8 = -l + 2*w + 6, 25 = -5*w. Factor -5*u**5 + 3*u**5 + u**3 + 8*u**2 - 4*u**l + 8*u**3 - 8*u - 3*u**3.
-2*u*(u - 1)**2*(u + 2)**2
Let i = 9513 - 9511. Factor 0*v + 0*v**i - 1/4*v**3 + 0 + 1/8*v**4 + 1/8*v**5.
v**3*(v - 1)*(v + 2)/8
Let l(x) = -2*x + 4. Let b(o) = -o**2 - 22*o - 52. Let d(g) = -2*b(g) + 6*l(g). What is h in d(h) = 0?
-8
Let r(g) = g**3 + 6*g**2 - 9*g - 11. Let d be r(-7). Let s = 2 - -2. Solve 4*n**s - 12*n**4 - n**2 + 7*n**4 + 2*n**d = 0 for n.
0, 1
Let g(c) = c + 18. Suppose -4*u - 73 = -13. Let j be g(u). Suppose -7*k**3 + 2*k**2 - j*k**2 + k**5 + 6*k**3 + 0*k**2 + k**4 = 0. Calculate k.
-1, 0, 1
Let v(a) be the third derivative of -a**5/30 - a**4/12 - 13*a**2. Let z be v(-1). Find r such that z*r**2 + 2/13*r - 2/13*r**3 + 0 = 0.
-1, 0, 1
Suppose 0 = -l + 2*n + 18, 2 = 69*l - 64*l + n. Suppose 0 + 4/3*q**3 + 0*q + 1/3*q**4 + 4/3*q**l = 0. Calculate q.
-2, 0
Let d(l) = 2*l**2 - 7*l + 5 + l - l. Let j(a) = -268*a**2 + 2 + 1 - 273*a**2 + 3*a + 540*a**2 - 5. Let c(i) = -3*d(i) - 7*j(i). Factor c(o).
(o - 1)*(o + 1)
Let c(j) = -4*j - 3. Let g be c(2). Let l(b) = -19*b**2 - 32*b - 13. Let z(t) = -10*t**2 - 16*t - 6. Let w(d) = g*z(d) + 6*l(d). What is k in w(k) = 0?
-3, -1
Let d = -578 + 1159/2. Factor 1 - 1/2*v**2 + d*v**3 - 3/2*v - 1/2*v**4.
-(v - 2)*(v - 1)**2*(v + 1)/2
Let j(b) be the first derivative of -b**3/3 - 11*b**2/2 + 703. Suppose j(f) = 0. What is f?
-11, 0
Let n be 3/(-48)*106 - 8/(136/(-119)). Factor 0*m**2 + 0 + 3/8*m**3 - n*m.
3*m*(m - 1)*(m + 1)/8
Let d(a) = a**2 - 8 - 5*a**3 + a + a**3 + 3*a**3 + 9. Let s(p) = 9*p**3 - 3*p**2 - 12. Let o(z) = 12*d(z) + s(z). Factor o(i).
-3*i*(i - 4)*(i + 1)
Factor -48/7*a**2 + 45/7*a + 3/7.
-3*(a - 1)*(16*a + 1)/7
Let g(w) = 5*w**4 - 31*w**3 + 55*w**2 - 29*w. Let z(i) = -5*i**4 + 32*i**3 - 55*i**2 + 28*i. Let x(h) = -3*g(h) - 4*z(h). Factor x(v).
5*v*(v - 5)*(v - 1)**2
Factor 3*w**3 + 64066*w**2 - 5*w**3 - 72*w - w**3 + 0*w**3 - 64099*w**2.
-3*w*(w + 3)*(w + 8)
Let k be ((5 - -7) + -13)*0. Suppose 0 = -2*r + 7*r - 20. Factor x**3 + k*x**r - 1/4*x**5 - 1/2 - 3/4*x + 1/2*x**2.
-(x - 2)*(x - 1)*(x + 1)**3/4
Suppose 0 = 5*n + 4 + 1. Let w(g) = 3*g**4 + 23*g**3 + 34*g**2 + 34*g + 2. Let q(x) = x**3 + x - 1. Let m(p) = n*w(p) + 6*q(p). Find y, given that m(y) = 0.
-2, -1, -2/3
Let s(g) = -6*g**3 + 18*g**2 + 6*g + 14. Let a(f) = -f + 14. Let u be a(13). Let q(p) = -p**3 + p**2 - p + 1. Let k(x) = u*s(x) - 8*q(x). Factor k(n).
2*(n + 1)**2*(n + 3)
Suppose -4*o + j - 2 = 0, -5*o + 4*j + 24 = 32. Factor 9/2*i**4 + o*i - i**2 + 7/2*i**3 + 0.
i**2*(i + 1)*(9*i - 2)/2
Let n(x) = -7*x**3 - 2*x**2 + 14*x + 12. Let g(j) = -26*j**3 - 8*j**2 + 55*j + 48. Let h(k) = -6*g(k) + 22*n(k). Find b such that h(b) = 0.
-4, -1, 3
Let p be ((-7)/56)/((429/(-88))/13). Factor -8/3 - 2/3*l + p*l**2.
(l - 4)*(l + 2)/3
Let l(p) be the second derivative of -p**6/20 + p**5/40 + p**4/8 - p**3/12 + 19*p. Factor l(m).
-m*(m - 1)*(m + 1)*(3*m - 1)/2
Let j(y) = 2*y**2 - y. Let c be j(-1). Let s be (1/(-4))/(9/(-72)). Factor s*o + 12*o + c*o**2 - 8*o.
3*o*(o + 2)
Let j(s) be the third derivative of -s**7/315 + 2*s**6/45 - 4*s**5/15 + 8*s**4/9 - 16*s**3/9 + 541*s**2. Let j(v) = 0. What is v?
2
What is n in 2/7*n**2 + 16/7 + 12/7*n = 0?
-4, -2
Let w(i) = -i**2 + 2*i - 1. Let y be w(4). Let m be 6/(-24) + y/(-4). Find u such that 24*u**m + 4*u**3 - u**3 - 3*u**4 - 18*u**2 = 0.
-1, 0, 2
Let u(p) be the third derivative of p