 = -3183 - -22083/7. Let l = -962/35 - h. Let 2/5 + 0*a**3 + 0*a - l*a**2 + 2/5*a**4 = 0. Calculate a.
-1, 1
Let c(a) be the first derivative of 1/60*a**5 - 1/36*a**4 + 2 + 0*a**2 + 0*a**3 + 5*a. Let n(x) be the first derivative of c(x). Let n(z) = 0. What is z?
0, 1
Let p be 0 - (1 - (4 + -1)). Factor -17 + 3*s**3 + 17 + 6*s**p + 3*s.
3*s*(s + 1)**2
Let h = 14 + -21. Let v(y) = -y - 5. Let d be v(h). Let -44*j**d + 10*j**3 - 4 - 16*j - 8*j - 34*j**3 = 0. What is j?
-1, -1/2, -1/3
Suppose -2*j = -8, -9*f + 4*f + 11 = -j. Determine z so that 7*z - 7*z - f*z**2 + 9*z = 0.
0, 3
Find l, given that 21/4*l - 21/4*l**3 + 3/4*l**4 + 27/4*l**2 - 15/2 = 0.
-1, 1, 2, 5
Let m = 24 + -22. Solve 784*l**5 - 319*l**3 + 19*l + 52*l**m - 115*l - 16 + 1764*l**4 + 1431*l**3 = 0.
-1, -2/7, -1/4, 2/7
Let s be ((-20)/(-16))/(4/(-16)) + 40. Let z be s/(-25) + 4/10 + 3. Factor -j - 3/2*j**4 + 0 - 5*j**3 - 9/2*j**z.
-j*(j + 1)*(j + 2)*(3*j + 1)/2
Let s(c) be the third derivative of -1/252*c**7 + 1/240*c**6 + 0 + 1/72*c**5 + 0*c**3 - 1/504*c**8 + 14*c**2 + 1/144*c**4 + 0*c. What is r in s(r) = 0?
-1, -1/4, 0, 1
Let t(i) = 8 - 5*i + 7*i - i - i**3 - 6*i**2. Let m be t(-6). Factor 4 - 6*h**m - 2 - 3 - 2 - 9*h.
-3*(h + 1)*(2*h + 1)
Let j = -599/5 + 601/5. Determine z so that -42/5*z**2 + 4/5 + j*z = 0.
-2/7, 1/3
Let s(n) be the third derivative of n**6/360 + n**5/90 - 5*n**4/72 - n**3/3 + 2*n**2 + 9. Solve s(b) = 0 for b.
-3, -1, 2
Let 6724/7 + 24*b**2 + 2/7*b**3 + 3690/7*b = 0. What is b?
-41, -2
Let t(a) be the second derivative of -a + 3/130*a**5 + 0*a**2 + 0 + 1/39*a**3 + 2/39*a**4. Determine f, given that t(f) = 0.
-1, -1/3, 0
Let k(g) be the second derivative of g + 1/5*g**4 + 1/10*g**6 + 6/25*g**5 + 19 + 0*g**2 + 0*g**3 + 1/70*g**7. Factor k(n).
3*n**2*(n + 1)*(n + 2)**2/5
Let i = 73 - 76. Let a(n) = n**2 + 6*n + 9. Let v be a(i). Determine p, given that -2/9*p**3 + 2/9*p**4 + 0 + v*p**2 + 0*p = 0.
0, 1
Let m(t) = -245*t**3 + 1858*t**2 - 1006*t + 134. Let l(r) = r**2 - 2*r - 2. Let z(k) = -3*l(k) + m(k). What is g in z(g) = 0?
2/7, 7
Factor 12 + 40*z - 24*z + 7*z**2 + 0*z + z**3.
(z + 2)**2*(z + 3)
Let k(p) be the second derivative of p**7/231 - 8*p**6/165 + 5*p**5/22 - 19*p**4/33 + 28*p**3/33 - 8*p**2/11 + 46*p. Determine c so that k(c) = 0.
1, 2
Let m(f) be the first derivative of -f**4 + 0*f + 6*f**2 - 8 - 8/3*f**3. Let m(j) = 0. Calculate j.
-3, 0, 1
Suppose 0 = -18*j + 105*j. Factor j*p - 1/6*p**2 + 0.
-p**2/6
Let c(p) be the third derivative of -p**7/42 - 37*p**6/12 - 1213*p**5/12 + 2405*p**4/2 - 5070*p**3 - 86*p**2. Factor c(q).
-5*(q - 2)**2*(q + 39)**2
Let z be 6/(-22) + (-23628)/(-1452). Factor 50/3*l**3 + z*l - 8/3 - 30*l**2.
2*(l - 1)*(5*l - 2)**2/3
Let m(k) = 1368*k**2 - 42*k + 66. Let h(j) = 171*j**2 - 5*j + 8. Let w(c) = 33*h(c) - 4*m(c). Factor w(l).
3*l*(57*l + 1)
Solve 8/11*h + 15/11*h**2 - 8/11*h**3 + 1/11*h**4 - 16/11 = 0.
-1, 1, 4
Let m(l) be the third derivative of -17*l**2 + 0*l - 4/3*l**3 + 0 + 1/30*l**5 + 0*l**4. Factor m(u).
2*(u - 2)*(u + 2)
Let s(a) be the third derivative of a**5/240 - 7*a**4/12 - 19*a**3/8 + 8*a**2 - 24. Suppose s(g) = 0. What is g?
-1, 57
Factor -7/3 - 25/3*i**3 - 71/3*i - 185/3*i**2.
-(i + 7)*(5*i + 1)**2/3
Let l = -21 + 25. Suppose -12*s**3 + 3*s**2 + l*s - 5*s**3 + 11*s**3 - s = 0. Calculate s.
-1/2, 0, 1
Let h be (6/(-4)*1156/255 + 6)*-3. Suppose -h*l**4 - 18/5*l**3 - 3/5*l**5 - 3/5*l + 0 - 12/5*l**2 = 0. What is l?
-1, 0
Suppose 4*t + i = -167, -19 = 3*t + 5*i + 102. Let s = -83/2 - t. Factor 1 - 5/2*a**3 + 9/2*a**2 + s*a**4 - 7/2*a.
(a - 2)*(a - 1)**3/2
Suppose 10*r - 8*r - l = 9, 0 = 5*l - 5. Let t = -8/99 + 536/99. Factor 0*x**4 + 4/3*x**r + 4*x - t*x**3 - 8/3 + 8/3*x**2.
4*(x - 1)**3*(x + 1)*(x + 2)/3
What is z in 6*z**2 - z**2 - 18 - 2*z**2 + 3*z = 0?
-3, 2
Determine p, given that -16*p**3 + 3*p**4 + 89 - 7*p**3 + 15*p - 89 + 13*p**2 - 8*p = 0.
-1/3, 0, 1, 7
Let h(v) be the first derivative of 2*v**3 - 6*v - 1/2*v**2 + 1/4*v**4 - 51. Factor h(d).
(d - 1)*(d + 1)*(d + 6)
Let c(y) be the second derivative of 0 - 3/2*y**2 - 7/40*y**5 - 17/24*y**4 - 17/12*y**3 + 27*y - 1/60*y**6. Factor c(s).
-(s + 1)**2*(s + 2)*(s + 3)/2
Suppose 10 = d + 5*h, 4*d - h = -5*h + 8. Let y be ((-6)/8)/(-2 + (-13)/(-8)). What is u in 10*u**2 - 2*u**3 - 12*u**y + d + 0 = 0?
-1, 0
Let d(v) = 19*v**5 - 35*v**4 + 157*v**3 - 179*v**2 + 70*v. Let i(c) = -9*c**5 + 18*c**4 - 78*c**3 + 90*c**2 - 36*c. Let o(b) = -6*d(b) - 13*i(b). Factor o(p).
3*p*(p - 2)**4
Suppose -l - 3*p + 9 = -2*l, -1 = -3*l + 2*p. Find i, given that -2*i**4 - 3*i**2 - 2*i**l + 6*i - 4*i + 5*i**2 = 0.
-1, 0, 1
Factor 46875/2 + 3/2*j**2 - 375*j.
3*(j - 125)**2/2
Suppose -37 = -31*h + 25. Let n be 5/(-2)*(-3)/30. Factor u + n*u**h + 1.
(u + 2)**2/4
Let g(b) = 4*b**3 - 25*b**2 + 140*b + 175. Let q(k) = -9*k**3 + 50*k**2 - 279*k - 352. Let i(a) = 14*g(a) + 6*q(a). Suppose i(u) = 0. What is u?
-1, 13
Let u(p) be the third derivative of -5*p**8/336 - p**7/21 + p**6/8 + 2*p**5/3 + 5*p**4/6 + 83*p**2 + 2. Let u(a) = 0. What is a?
-2, -1, 0, 2
Let g be (13/(-52))/((637/168)/(-13)). Determine u so that -20/7*u + 8/7 + g*u**2 + 9/7*u**3 = 0.
-2, 2/3
Let l(h) be the second derivative of h**4/66 - 92*h. Suppose l(j) = 0. What is j?
0
Let y(n) = -10*n**2 - 21*n - 23. Let q(v) = -52*v**2 - 104*v - 116. Let a(s) = 3*q(s) - 16*y(s). Factor a(f).
4*(f + 1)*(f + 5)
Let b(w) = -5*w + 5. Let r be b(-5). Suppose -r + 0*t**2 - 18 + 16*t - 3*t**2 + 8*t = 0. Calculate t.
4
Suppose -3*w = -29 + 5. Suppose -5*y + 28 = 4*d - w, d = -y + 8. Solve -q**5 + q**5 + 10 - 8*q**3 - y*q**5 + 8*q**2 - 12*q**4 + 12*q - 6 = 0 for q.
-1, 1
Suppose -39 = 5*l - 4. Let x = -5 - l. Suppose x*q**2 + 17*q - 2*q**4 + q**3 - 16*q - 2*q**3 = 0. What is q?
-1, -1/2, 0, 1
Let n(a) be the first derivative of -1/15*a**3 + 2*a - 7 - 1/60*a**4 + 0*a**2. Let v(r) be the first derivative of n(r). Factor v(i).
-i*(i + 2)/5
Let p(k) be the first derivative of k**3/9 + 2*k**2/3 + k - 297. Factor p(o).
(o + 1)*(o + 3)/3
Let i(n) be the second derivative of n**7/399 - 13*n**6/95 - 3*n**5/190 + 119*n**4/114 - 26*n**3/19 + 8*n + 2. Find a, given that i(a) = 0.
-2, 0, 1, 39
Let w = 277 - 275. Let x(v) be the second derivative of -1/16*v**4 + 0 + 7*v + 1/4*v**3 + 0*v**w. Factor x(o).
-3*o*(o - 2)/4
Solve 7/4*t**2 - 13/2*t + 6 = 0 for t.
12/7, 2
Let s(w) = w**2 - 19*w + 27. Let m be s(17). Let c(f) = 8*f**2 + 5*f + 8. Let r(q) = 7*q**2 + 4*q + 7. Let u(v) = m*r(v) + 6*c(v). Factor u(n).
-(n - 1)**2
Suppose v + 5*l - 7 = 10*l, 2*l + 6 = 2*v. Let m(c) be the first derivative of -64*c - 5 + 16*c**v - 4/3*c**3. Factor m(s).
-4*(s - 4)**2
Let p be ((-48)/28)/((-60)/84). Let t(v) be the third derivative of 0 + 0*v - 16/3*v**3 + 2/3*v**6 + 8/3*v**4 + p*v**5 + 1/15*v**7 + v**2. Factor t(y).
2*(y + 2)**3*(7*y - 2)
Suppose -q - 4*b - 1 = 0, 0*b + 24 = -4*q + 4*b. Let k(c) = -c - 3. Let t be k(q). Determine n so that -1/5*n**t - 1/5*n + 2/5 = 0.
-2, 1
Let y(l) be the third derivative of 0*l + 1/40*l**6 + 0*l**4 + 11*l**2 - 1/20*l**5 + 0 + 0*l**3. Factor y(i).
3*i**2*(i - 1)
Let y(n) be the first derivative of n**5/90 + n**4/18 + n**3/9 + n**2/9 - 2*n + 18. Let x(i) be the first derivative of y(i). Find k, given that x(k) = 0.
-1
Let i be (8/(-3))/(10/30). Let x be (-38)/i + 15/(-20). Solve -2*m**2 + 2*m - x*m + m + 2*m**3 + 2 - m = 0 for m.
-1, 1
Let l = 6 - -9. Suppose -l*p = -18*p + 6. Factor -3 - 4*s + 3*s**p + 30 - 14*s.
3*(s - 3)**2
Let l be ((-4)/3)/(672/(-756)). Factor 3/4*y + l - 3/4*y**3 - 3/2*y**2.
-3*(y - 1)*(y + 1)*(y + 2)/4
Let u(l) be the first derivative of -l**5 - 5*l**4/2 + 5*l**3/3 + 5*l**2 + 95. Let u(m) = 0. What is m?
-2, -1, 0, 1
Suppose 2*t + 6*t**2 - 2*t - 53439*t**4 + 53442*t**4 - 9*t**3 = 0. Calculate t.
0, 1, 2
Suppose -6 = -5*f + 2*f. Suppose 7 = f*g + 3. Solve u**2 + 4*u**3 + 51*u**4 - u**3 - 50*u**4 - 3*u - g = 0 for u.
-2, -1, 1
Let d = 12/349 - -277/2094. Factor 0 + d*g**4 + 1/3*g**3 + 0*g + 1/6*g**2.
g**2*(g + 1)**2/6
Determine w so that -2*w**2 + 9*w**2 - 5 + 11*w - 7 + 0*w + 6*w = 0.
-3, 4/7
Factor 10/17*t + 0 + 16/17*t**2 + 6/17*t**3.
2*t*(t + 1)*(3*t + 5)/17
Let j(q) = -6*q**2 - q + 0*q + 0*q + 0*q**2. Let d(s) = -3*s**2. Let v(m) = -5*d(m) + 2*j(m). Factor v(t).
t*(3*t - 2)
Let b be 62/6 + 22/33. Suppose -b