*c + 5*i = -65. Let g be (1395/(-50))/(-9) + c/20. Determine v, given that 5/2 + g*v**2 - 5*v = 0.
1
Suppose 3*t = 2 + 4. Suppose -t*b + 3*s + 16 = 0, -4 - 4 = 2*s. Let -11*g**3 + 3*g**5 + 6*g**b + 6*g**4 - 5*g**5 + g**5 = 0. Calculate g.
0, 1, 2, 3
Let j be (0 - -6) + 2871/(-441). Let a = j + 789/490. Factor -18/5 - 12/5*t - 1/10*t**3 + a*t**2.
-(t - 6)**2*(t + 1)/10
Let q(m) be the third derivative of m**7/105 + m**6/15 - 2*m**5/15 - 4*m**4/3 - 2356*m**2. Solve q(i) = 0.
-4, -2, 0, 2
Let l be (-14 - (-310)/15)/4. Let j(c) be the first derivative of 15 - 15/2*c**2 + 20*c - l*c**3. Factor j(y).
-5*(y - 1)*(y + 4)
Let s(j) = -45*j**2 - 320*j + 60. Suppose -7*g - 61 = -26. Let i(m) = 43*m**2 + 320*m - 60. Let l(q) = g*i(q) - 6*s(q). Factor l(a).
5*(a + 6)*(11*a - 2)
Let w(n) be the first derivative of 0*n**2 + 2/9*n**3 - 2/15*n**5 + 0*n - 1/18*n**6 - 36 + 1/12*n**4. Solve w(r) = 0 for r.
-2, -1, 0, 1
Suppose -2165 = -28*c - 37893. Let m = c + 1280. Factor -z**m + 7/4*z**3 + 0 - 1/2*z**2 - 1/4*z.
-z*(z - 1)**2*(4*z + 1)/4
Let b(m) = -3*m**2 + 97*m - 809. Let p(s) = s**2 - 11*s - 3. Let x(r) = b(r) + p(r). Factor x(i).
-2*(i - 29)*(i - 14)
Factor 39/5*f**3 + 864/5*f + 1/5*f**4 + 396/5*f**2 + 0.
f*(f + 3)*(f + 12)*(f + 24)/5
Let b be -2 + 8 + (-51)/(-34) + (-2 - (-145)/(-30)). Factor 800/3 + 80/3*x + b*x**2.
2*(x + 20)**2/3
Suppose -9 = 3*h, 15*b + 4*h = 16*b - 12. Let y(m) be the third derivative of -1/12*m**5 + 10/3*m**3 + 0 + b*m + 0*m**4 - 25*m**2. Factor y(p).
-5*(p - 2)*(p + 2)
Let l be 1 + 3 + (-1)/1. Suppose 1 = 11*r - 43. Factor -2*q**3 - l*q**2 - q**2 + 44*q - 54*q - r*q**2 - 4.
-2*(q + 1)**2*(q + 2)
Let l(n) be the second derivative of n**7/168 - n**6/120 - 17*n**5/80 + 17*n**4/48 + 2*n**3/3 - 2*n**2 + n + 334. Let l(k) = 0. Calculate k.
-4, -1, 1, 4
Let q(w) = w**3 - 40*w**2 + 132. Let r(f) = 3*f**3 - 84*f**2 - 2*f + 266. Let p(j) = -5*q(j) + 2*r(j). Solve p(c) = 0 for c.
-32, -2, 2
Let g(q) be the first derivative of q**5 - 165*q**4/4 + 1235*q**3/3 - 1995*q**2/2 + 920*q - 6121. Factor g(h).
5*(h - 23)*(h - 8)*(h - 1)**2
Suppose 15*f = 4*f + 352. Suppose 28*k + 20 = f*k. Factor -4/3*j**3 - 8/9*j**2 - 8/9*j**4 + 0 - 2/9*j**k - 2/9*j.
-2*j*(j + 1)**4/9
Factor -9 + 4/3*q**2 + 5/2*q - 1/6*q**3.
-(q - 9)*(q - 2)*(q + 3)/6
Let o be (-178)/(-16) + -119 + 108. Let i(l) be the first derivative of -1/4*l + 0*l**3 - 5 - 1/4*l**2 + o*l**4 + 1/20*l**5. Solve i(z) = 0 for z.
-1, 1
Let b = -17092 + 153844/9. Factor b*s**2 + 0 + 2/9*s**3 + 0*s.
2*s**2*(s + 8)/9
Let r(y) = -y + 1. Suppose 5 = -4*g - 11, -2*p - 4*g - 12 = 0. Suppose 0 = -p*a + 3 + 3. Let s(x) = -x**2 + 5*x - 4. Let h(u) = a*s(u) + 6*r(u). Factor h(c).
-3*(c - 2)*(c - 1)
Determine q, given that -646/13*q - 2/13*q**3 - 326/13*q**2 - 322/13 = 0.
-161, -1
Let a(j) be the first derivative of -j**6/15 - j**5/2 + j**4/2 + 13*j**3/3 - 10*j**2 - 16*j + 26. Let f(w) be the first derivative of a(w). Factor f(u).
-2*(u - 1)**2*(u + 2)*(u + 5)
Let c(s) be the second derivative of 3/80*s**5 + 0 - 1/16*s**4 + 1/120*s**6 - 11/24*s**3 - 195*s - 3/4*s**2. Suppose c(h) = 0. Calculate h.
-3, -1, 2
Let g(a) be the first derivative of 0*a**3 + 1/12*a**6 + 0*a - 3/8*a**4 + 16 - 1/5*a**5 + 0*a**2. Factor g(o).
o**3*(o - 3)*(o + 1)/2
Let h(s) be the third derivative of 0*s**3 + 0*s**4 - 1/180*s**5 + 0*s + 1/630*s**7 - s**2 - 1/1080*s**6 + 11 + 1/3024*s**8. Let h(i) = 0. What is i?
-3, -1, 0, 1
Suppose 0 = -5*u - 2*k + 2, -4*k - 3 = 5*u + 3. Let i = 2110 - 14746/7. What is j in 2/7*j**5 + 0 + i*j**u + 8/7*j + 26/7*j**3 + 12/7*j**4 = 0?
-2, -1, 0
Let -2297/5*j**2 + 93/5*j**3 + 1251*j - 1/5*j**4 - 810 = 0. What is j?
1, 2, 45
Let v(z) = -22*z**2 + 38*z - 7. Let s(t) be the first derivative of -15*t**3 + 75*t**2/2 - 15*t + 5. Let u = 7 - 4. Let r(x) = u*s(x) - 5*v(x). Factor r(p).
-5*(p - 1)*(5*p - 2)
Let a(p) = 15*p**2 + 30*p + 5. Let q(t) = -t**3 + t**2 - t - 1. Suppose 1 = 10*m - 11*m. Let o(s) = m*a(s) - 5*q(s). Find r such that o(r) = 0.
-1, 0, 5
Let k(s) be the first derivative of -2*s**3/27 - 38*s**2/9 - 23. Factor k(q).
-2*q*(q + 38)/9
Let k be ((-2142)/(-19992))/(6/16). Factor 2*i - 12/7*i**2 - k*i**3 + 0.
-2*i*(i - 1)*(i + 7)/7
Let d(z) be the first derivative of -1/10*z**5 + 5/6*z**3 + 3/8*z**4 - 1/12*z**6 + 1/2*z**2 - 21 + 0*z. Factor d(x).
-x*(x - 2)*(x + 1)**3/2
What is l in 60 - 215*l - 7*l**2 - 51 + 14*l**2 - 116*l**2 - 3 = 0?
-2, 3/109
Let b(u) = u**2 - 178*u - 912. Let k be b(-5). Let h(z) be the first derivative of 5/4*z**4 - 11 - 5/3*z**k - 20*z**2 + 60*z. Suppose h(o) = 0. What is o?
-3, 2
Let b(j) = -j**3 - 206*j**2 + 640*j + 2720. Let h be b(-209). Factor 0*g + 16*g**h + 0 + 4/7*g**4 + 108/7*g**2.
4*g**2*(g + 1)*(g + 27)/7
Let i(f) be the first derivative of -f**4/20 - 11*f**3/15 - 19*f**2/10 - 9*f/5 + 2280. Determine q, given that i(q) = 0.
-9, -1
Let a(j) = -47*j**2 + 110*j**2 - 54*j**2 + j**3 + 20*j + 14. Let l be a(-6). Determine n so that 3/5*n - 3/5*n**l + 6/5 = 0.
-1, 2
Determine r so that -14/3*r**4 - 64/3 + 44/3*r**2 + 35/3*r**3 - 68/3*r - 1/3*r**5 = 0.
-16, -1, 2
Let a = -64 + 124. Factor 35*v**2 + a + 5*v**3 - 31*v**2 + 11*v**2 - 80*v.
5*(v - 2)*(v - 1)*(v + 6)
Let k(l) be the second derivative of 3*l**5/20 + 53*l**4/4 + 76*l**3 + 150*l**2 + 940*l - 4. Factor k(d).
3*(d + 1)*(d + 2)*(d + 50)
Let l be (-10 - (-3392)/336)*6. Let z be (-2)/(-7) + 0/(-5 - -10). Find q, given that 2/7*q**2 + l*q + z = 0.
-1
Suppose -1990 + 120 = -187*l. Let b(h) be the second derivative of l*h**2 + 0 - 34*h + 0*h**3 - 1/4*h**5 - 5/4*h**4. Factor b(f).
-5*(f - 1)*(f + 2)**2
Let x(l) be the second derivative of -3*l**5/8 + 305*l**4/24 - 565*l**3/12 + 275*l**2/4 - 2*l + 150. Factor x(o).
-5*(o - 1)**2*(3*o - 55)/2
Let -62/3*v**3 + 104*v**2 - 16/3*v**4 - 262/3*v + 28/3 = 0. Calculate v.
-7, 1/8, 1, 2
Let -11/5*c**2 - 218/5*c + 8 = 0. What is c?
-20, 2/11
What is h in -14*h**4 + 4*h**2 + 2547*h**5 - 20*h**3 - 2 + 30*h + 12 - 5099*h**5 + 2550*h**5 - 8*h = 0?
-5, -1, 1
Let p(z) be the first derivative of -2*z**3/15 + 827*z**2/5 + 1656*z/5 + 4789. Suppose p(m) = 0. Calculate m.
-1, 828
Suppose 30 - 91 + 61 - 512*q - 2*q**2 = 0. Calculate q.
-256, 0
Suppose -27*s + 17 = -22*s + 3*b, -3*s + 15 = 3*b. Let a(c) = 2*c + 3. Let h be a(s). Factor -5/3*m**4 - m**3 + 0 + 3*m**2 - 1/3*m**h + 0*m.
-m**2*(m - 1)*(m + 3)**2/3
Let q(o) be the first derivative of -5*o**3/3 - 80*o**2 + 340*o - 1886. Find k, given that q(k) = 0.
-34, 2
Factor 2/7*m**3 + 8184/7*m - 260/7*m**2 + 17424/7.
2*(m - 66)**2*(m + 2)/7
Let x(k) be the third derivative of -3/4*k**4 + 0*k**3 + 35*k - 1/20*k**6 - 1/315*k**7 - 3/10*k**5 + 0 + 4*k**2. Solve x(g) = 0 for g.
-3, 0
Let g(q) be the first derivative of 15*q**5 + 435*q**4/4 + 93*q**3 - 111*q**2/2 - 30*q + 2221. Determine u, given that g(u) = 0.
-5, -1, -1/5, 2/5
Let l be ((-3)/(-42))/((-2050)/(-57400)). Factor -119/2*o - 1/2*o**3 + 245/2 + 19/2*o**l.
-(o - 7)**2*(o - 5)/2
Find n such that n**3 - 150*n**2 - 24788104 + 24788104 - 3*n**3 - 148*n = 0.
-74, -1, 0
Let x = -402163/108 - -14895/4. Let a(y) be the second derivative of 0*y**2 + 0 - 2/27*y**3 - x*y**4 + 1/90*y**5 + 21*y. Factor a(j).
2*j*(j - 2)*(j + 1)/9
Suppose 23*l = 19*l + 11 + 5. Let k(h) be the third derivative of 1/6*h**l - 2/105*h**7 + 0*h + 4*h**2 + 1/15*h**5 + 0 + 0*h**3 - 1/30*h**6. Factor k(s).
-4*s*(s - 1)*(s + 1)**2
Suppose 83*t - 56*t = -74115. Let u be (15 - t/(-420)) + 4/14. Factor u*j - 15/2 - 5/4*j**3 + 0*j**2.
-5*(j - 2)*(j - 1)*(j + 3)/4
Let x(j) = -5*j**4 + 9*j**2 - 4*j + 4. Let c(s) = 2*s**2 - 2*s**2 - 20*s - s**2 + 0 - 1 + 21*s. Let w(d) = 4*c(d) + x(d). Factor w(r).
-5*r**2*(r - 1)*(r + 1)
Let l(y) be the third derivative of 8*y - y**2 + 5/39*y**3 - 1/26*y**4 + 0 + 1/390*y**5. Factor l(j).
2*(j - 5)*(j - 1)/13
Let r(b) = 142*b - 75. Let a be r(2). Suppose 216*h = a*h. Factor 3/2*g + 1/6*g**3 - g**2 + h.
g*(g - 3)**2/6
Suppose 4*m + 4*m - 10*m + 36*m**3 - 105*m**2 - 17*m + 10*m = 0. Calculate m.
-1/12, 0, 3
Let p = 21 + -15. Suppose 44 = p*q - 34. Solve 13*l + q*l + 3*l**2 - 11*l = 0 for l.
-5, 0
Let k(i) = 34*i**2 - 8*i - 10. Let u be k(-1). Solve -u*t - t**2 + 2*t + 3*t**2 - 30*t - 16*t = 0.
0, 38
Let q(m) be the third derivative of -m**6/540 + 127*m**5/270 - 31*m**4/27 - 28*m**3/3 + 2*m**2 + 1187*m. Factor q(h).