 - (1 + -1*4). Let -125*k**5 + 13 + 40*k**w - 29*k**2 + 3 + 112*k + 261*k**2 - 275*k**4 = 0. What is k?
-2, -2/5, 1
Let r = 91 + -90. Let s(k) be the first derivative of 0*k**2 + 1/2*k**4 + 1/5*k**5 + 0*k - r + 1/3*k**3. Determine t so that s(t) = 0.
-1, 0
Let s = -14 - -11. Let n be (1 - 0) + (s - -2). What is u in -2/9*u**2 + n - 2/9*u = 0?
-1, 0
Let v(t) be the second derivative of -t**5/20 + 17*t**4/48 - 5*t**3/6 + t**2/2 - 9*t. Solve v(p) = 0 for p.
1/4, 2
Determine s so that -9/10*s - 7/10*s**3 + 0 - 3/2*s**2 - 1/10*s**4 = 0.
-3, -1, 0
Let k = -394 + 396. Suppose -2/3 - 1/3*j + 1/3*j**k = 0. Calculate j.
-1, 2
Let f(n) = n**2 - 14*n + 15. Let g be f(13). Solve -w - 3*w - 7 + 5 - g*w**2 + 8 = 0 for w.
-3, 1
Let x be 1 + 6 + -3 + -2. Suppose 3*k + o - 7 = 0, 2*k + 2*o + 2*o + x = 0. Factor 2/5*g - 6/5*g**k - 4/5*g**2 + 0.
-2*g*(g + 1)*(3*g - 1)/5
Let n(m) be the second derivative of -1/4*m**3 - m**2 + 0 + 1/24*m**4 + 8*m. Suppose n(v) = 0. Calculate v.
-1, 4
Let g(s) be the second derivative of s**7/63 - s**6/45 - s**5/30 + s**4/18 - 15*s. Find x such that g(x) = 0.
-1, 0, 1
Let c(d) be the second derivative of -d**10/196560 + d**8/21840 - d**6/4680 - d**4/12 + 4*d. Let j(m) be the third derivative of c(m). Factor j(s).
-2*s*(s - 1)**2*(s + 1)**2/13
Let i(d) = 15*d**2 - 43*d + 75. Let f(h) = 4*h**2 - 11*h + 19. Let b(k) = -22*f(k) + 6*i(k). Factor b(a).
2*(a - 4)**2
Suppose 3*h + 3 = 12. Let u = h + 1. Determine c, given that -u*c**3 + 3*c**3 - 3*c**3 + 2*c**4 + 2*c**2 = 0.
0, 1
Let i = 26 - 26. Suppose i*p + 0 + 2/7*p**2 - 2/7*p**4 + 0*p**3 = 0. Calculate p.
-1, 0, 1
Suppose -8 = -3*n + 3*h + 37, -5*h = n + 3. Suppose -c = 2*c - n. Factor 2/3*i**2 + 0 - 2/3*i**3 - 2/3*i**c + 2/3*i.
-2*i*(i - 1)*(i + 1)**2/3
Factor 0 - 12/5*f - 39/5*f**3 + 36/5*f**2 + 18/5*f**4 - 3/5*f**5.
-3*f*(f - 2)**2*(f - 1)**2/5
Let r(n) be the second derivative of -25*n**4/48 + 15*n**3/4 + 5*n**2 - 17*n. Let r(q) = 0. What is q?
-2/5, 4
Suppose -j + 2*j + s = 0, -5*j + s = -24. Determine w, given that 25*w**3 + 17*w + 3*w**4 - 16*w**5 + 8 + 11*w + 17*w**5 + 38*w**2 + 5*w**j = 0.
-2, -1
Let k(w) = 23*w**3 - 51*w**2 + 59*w - 9. Let t(j) = 8*j**3 - 17*j**2 + 20*j - 3. Let g(u) = -4*k(u) + 11*t(u). Find f such that g(f) = 0.
1/4, 1, 3
Let a be (1/2)/(3/18). Suppose -a*u + 14 = 8*m - 3*m, 5*u - 11 = 4*m. Let -9/2*x + 3/2*x**2 + u = 0. What is x?
1, 2
Factor 1/2 + 7/4*h - 9/4*h**2.
-(h - 1)*(9*h + 2)/4
Let s = -25 + 45. Suppose 2*q - 7*q + s = 0. Find v such that -2/5*v**2 + 0 + 0*v - 2/5*v**q - 4/5*v**3 = 0.
-1, 0
Let v(o) be the third derivative of -o**8/504 + 2*o**7/105 - 7*o**6/90 + 8*o**5/45 - o**4/4 + 2*o**3/9 + 4*o**2. Factor v(p).
-2*(p - 2)*(p - 1)**4/3
Let h(g) be the second derivative of -5*g**4/16 - 5*g**3/12 + 3*g. Factor h(p).
-5*p*(3*p + 2)/4
Let k(z) = -23*z + 1. Let w be k(-1). Let v = w - 12. Factor -v + t + 12 + t**5 - 2*t**3.
t*(t - 1)**2*(t + 1)**2
Let q(f) be the first derivative of -1/6*f**3 + 5 + 1/2*f + 0*f**2. Solve q(n) = 0.
-1, 1
Suppose 5*z - 55 = -5*m, 3*z + 5*m - 9 = 18. Let j = 29/2 - z. Factor 1/2*u + 3/2*u**3 + 0 + 3/2*u**2 + j*u**4.
u*(u + 1)**3/2
Let q(r) = -5*r**2 - 1 + 4*r**2 + 2 + r**4 - r. Let z(m) = 7*m**5 + 28*m**4 + 46*m**3 + 17*m**2 - 3*m - 5. Let p(v) = 5*q(v) + z(v). Factor p(i).
i*(i + 1)*(i + 2)**2*(7*i - 2)
Let i(v) be the third derivative of v**2 + 1/1440*v**6 + 1/3*v**3 + 0 + 1/96*v**4 + 0*v - 1/240*v**5. Let w(j) be the first derivative of i(j). Factor w(l).
(l - 1)**2/4
Let k(c) be the second derivative of 2/9*c**3 + 1/18*c**4 + 0 + 1/3*c**2 + 5*c. Determine f, given that k(f) = 0.
-1
Factor 0 - b**3 - 1/3*b - b**2 - 1/3*b**4.
-b*(b + 1)**3/3
Let w(v) = -8*v**4 + 10*v**3 - 6*v**2 - 10*v + 2. Let r(m) = m**4 - m**3 + m**2 + m. Let l(d) = -6*r(d) - w(d). Let l(u) = 0. Calculate u.
-1, 1
Suppose 0 = 6*l - l - 15, c - 31 = 2*l. Determine a so that 0*a**2 - 3*a**2 - 12*a**3 + 3*a**5 + 9*a - 3*a**2 - c + 43 = 0.
-1, 1, 2
Let p(a) = a**2 + 6*a + 3. Let c be p(-4). Let x = 9 + c. Factor -2/5*q**2 + 1/5 + 1/5*q**x + 0*q + 0*q**3.
(q - 1)**2*(q + 1)**2/5
Suppose 5*d + 3 + 7 = 0. Let o be (2/6)/(d/(-24)). Let f**4 + 4*f + f**2 + 3*f**2 - 4*f**3 + 2*f**2 - 7*f**o = 0. Calculate f.
-1, -2/3, 0, 1
Let i(d) = d**3 - 18*d**2 - 18*d - 19. Let w be i(19). Let b(y) be the third derivative of w*y**3 + 1/240*y**5 + 0*y + 0 - 2*y**2 + 0*y**4. Factor b(o).
o**2/4
Let w(r) be the first derivative of -2*r**5 + 15*r**4/4 - 5*r**3/3 + 19. Factor w(f).
-5*f**2*(f - 1)*(2*f - 1)
Let z(m) be the first derivative of 2/3*m**2 + 0*m - 2 - 2/9*m**3 - 1/6*m**4. Find b, given that z(b) = 0.
-2, 0, 1
Let -64/5*y - 58/5*y**2 - 8/5 - 14/5*y**3 = 0. Calculate y.
-2, -1/7
Let v be 1/((-2)/4*-2). Let b be (-3 + 3 + 2)*v. Factor 0*t - 4/7*t**3 - 2/7*t**b + 0 - 2/7*t**4.
-2*t**2*(t + 1)**2/7
Let v(g) be the first derivative of 1/6*g**2 + 1/9*g**3 + 2 + 0*g. Determine l so that v(l) = 0.
-1, 0
Let c be (-2)/(-4) - (-62)/4. Suppose 0 = -17*s + 13*s + c. What is r in -3/4*r**2 - 1/4*r**s + 1/4*r + 0 + 3/4*r**3 = 0?
0, 1
Let i(k) = 3*k**2 + k + 2. Suppose 0*z - 5*z + 10 = 0. Let d be z/(-3) + 80/(-15). Let u(a) = 4*a**2 + a + 3. Let q(g) = d*i(g) + 4*u(g). Solve q(t) = 0 for t.
-1, 0
Let k be ((-21)/9 + 2)*-1. Factor 1/3 + k*v**2 + 2/3*v.
(v + 1)**2/3
Let b = -13 + 18. Factor 3 - b*i - 3 - 3*i**3 + 7*i**2 + 3 - 2.
-(i - 1)**2*(3*i - 1)
Let 0 + 1/2*b**2 - 1/2*b = 0. Calculate b.
0, 1
Let q(h) be the third derivative of -h**6/420 + 4*h**5/105 - 4*h**4/21 + 7*h**2. Factor q(t).
-2*t*(t - 4)**2/7
Let f be 1/(-2)*(-24)/3. Let r(d) be the first derivative of 2 - 2/9*d**3 + 14/15*d**5 + 1/3*d**f + 0*d + 0*d**2 + 4/9*d**6. Suppose r(u) = 0. What is u?
-1, 0, 1/4
Let q be 2/(((-30)/(-9))/5). Suppose 2*g - 1 - q = 0. Factor 0*d**2 - d + 3*d + d**g.
d*(d + 2)
Suppose 0 = -57*y + 53*y + 12. Let z(h) be the first derivative of 18/5*h**5 - 3/2*h**4 - 10/3*h**3 + y - h**2 + 0*h. What is r in z(r) = 0?
-1/3, 0, 1
Let v(d) be the first derivative of 2*d**6/9 - 8*d**5/15 - 2*d**4/3 + 32*d**3/9 - 14*d**2/3 + 8*d/3 - 13. Suppose v(t) = 0. Calculate t.
-2, 1
Let h = 876 + -874. Solve -5*b**4 + 7/3*b - 3*b**5 + 1/3 + 14/3*b**h + 2/3*b**3 = 0.
-1, -1/3, 1
Let d(k) be the second derivative of -k**4/12 - k**3/2 - k**2 + 6*k. Let d(n) = 0. What is n?
-2, -1
Suppose 0 = 2*d - 6. Factor 10*m + 2*m**d + 2*m**3 + 6 - 2*m**3 + 2*m**2 - 4*m**3.
-2*(m - 3)*(m + 1)**2
Let f(r) = r**3 - 7*r**2 + 3*r - 2. Let b be f(6). Let k = b + 58. Let 15*d**3 + 12*d + 54*d**4 + k*d**4 - 39*d**4 - 48*d**2 + 22*d**4 = 0. What is d?
-1, 0, 2/5
Let r(s) be the third derivative of s**6/180 - s**5/60 - 2*s**3/3 + 4*s**2. Let n(d) be the first derivative of r(d). Factor n(f).
2*f*(f - 1)
Let s be (-7)/28 + (-26)/(-8). What is n in -s*n**2 + 12*n + 6*n - 18*n = 0?
0
Let d(u) be the third derivative of 2*u**8/105 + 24*u**7/175 + 97*u**6/300 + 6*u**5/25 + u**4/15 - 14*u**2. Let d(h) = 0. What is h?
-2, -1/4, 0
Let a(g) be the first derivative of g**3/12 - g**2/2 + 3*g/4 + 1. Suppose a(w) = 0. Calculate w.
1, 3
Let o(i) be the second derivative of i**5/5 - i**4/3 - 8*i. Let o(u) = 0. What is u?
0, 1
Let x(v) be the third derivative of v**6/600 - v**5/60 + v**4/40 + 3*v**3/10 + 10*v**2. What is g in x(g) = 0?
-1, 3
Determine s, given that 5/7*s**2 + 0 + 0*s - 1/7*s**3 = 0.
0, 5
Determine x so that 2 + 2 + x**2 - 6 + 3 + 2*x = 0.
-1
Let m be ((-15)/5)/(0 + -1). Factor -4*r**3 + r**m + 4*r**3 - 2*r**3.
-r**3
Let g(q) be the first derivative of 0*q**2 - 2 + 4/35*q**5 + 0*q**3 - 1/14*q**4 - 1/21*q**6 + 0*q. Factor g(z).
-2*z**3*(z - 1)**2/7
Let l(g) = -g**3 - 18*g**2 + 19*g + 2. Let u be l(-19). Let p(n) be the third derivative of 0*n + 0 - 1/6*n**3 - n**u - 1/48*n**4 + 1/120*n**5. Factor p(q).
(q - 2)*(q + 1)/2
Let z(t) be the third derivative of 5*t**8/336 - t**7/21 + t**5/6 - 5*t**4/24 + 41*t**2. Factor z(f).
5*f*(f - 1)**3*(f + 1)
Let n(z) = -z**2 + 23*z. Let r = -57 + 40. Let o(a) = -8*a. Let h(q) = r*o(q) - 6*n(q). Factor h(i).
2*i*(3*i - 1)
Let r = -3/821 - -6619/13957. Find h, given that -150/17*h**3 + r + 10*h**2 - 64/17*h = 0.
1/3, 2/5
Let q be (-14)/(-6) + (-4)/(-6). Suppose h - q + 1 = 0. Determine u so that -2*u**3 - 4*u + 3*u**3 - h*u**2 + 5*u = 0.
0, 1
Factor -3/2*y**4 + 0*y + 0 + 5/4*y**3 + 1/4*y**5 + 0*y**2.