Let d = 35/1647 - 1265114/1647. Let a = 769 + d. Suppose -8/9*l**2 - 2/3*l**3 + a*l + 4/9*l**4 + 0 + 2/9*l**5 = 0. What is l?
-2, 0, 1
Let y(t) = 43*t + 48. Let r be y(-1). Let o(c) be the first derivative of 1/15*c**3 + 0*c - 1/10*c**2 - 1/25*c**r + 1/20*c**4 - 1. Let o(f) = 0. Calculate f.
-1, 0, 1
Let o(y) = -y**2 + 3*y + 7. Let t(q) = q**2 - 3*q - 6. Let j(i) = 2*o(i) + 3*t(i). Find u such that j(u) = 0.
-1, 4
Let l(r) = 5*r**3 - 35*r**2 + 105. Suppose -155 + 30 = -5*j. Let p(z) = z**3 - 9*z**2 + 26. Let k(v) = j*p(v) - 6*l(v). Let k(d) = 0. What is d?
-2, 1
Let s(u) be the third derivative of u**8/3360 + u**7/2520 - u**6/180 + 2*u**5/15 - 7*u**2. Let c(m) be the third derivative of s(m). Factor c(k).
2*(k + 1)*(3*k - 2)
Let q be -2 + 4 - (-1 + 3). Suppose -i - 5*a = -q*a - 33, 0 = 2*a - 8. Suppose 2*s**2 + 0*s - 17 + i + 2*s = 0. Calculate s.
-2, 1
Let y be 117 + ((-1)/(-1))/(9/(-27)). What is x in y*x + 8*x**2 - 4*x**3 + 105*x - 219*x = 0?
0, 2
Let a(f) be the second derivative of -f**4/18 - 4*f**3 - 128*f**2/3 + 675*f. Suppose a(d) = 0. What is d?
-32, -4
Let s(z) be the third derivative of 7*z**6/540 + 173*z**5/270 + 59*z**4/54 - 16*z**3/9 + 335*z**2. Suppose s(p) = 0. Calculate p.
-24, -1, 2/7
Solve 35*z**2 + 5*z**3 - 1 - 27 - 10 + 8 - 5*z**4 - 5*z = 0.
-2, -1, 1, 3
Suppose 4*n - n + 93 = 0. Let j = -10 - n. Factor -13*s**2 - j*s**3 + s - 25*s + 70*s**2 - 12.
-3*(s - 2)*(s - 1)*(7*s + 2)
Let y be 106/(-102) - (-15 + 14). Let n = y + 157/102. Let -3*t + 15/2*t**3 - n*t**2 - 9/2*t**5 + 3/2*t**4 + 0 = 0. Calculate t.
-1, -2/3, 0, 1
Let q = -6171/2 + 3087. Determine j so that -q*j**3 - j**4 + j**2 + 5/4*j**5 + 1/4*j + 0 = 0.
-1, -1/5, 0, 1
Let u = -1790/29 + 12994/203. What is v in u - 10/7*v**2 + 4/7*v + 2/7*v**3 = 0?
-1, 2, 4
Let g(r) be the first derivative of -r**7/42 - r**6/24 + r**5/6 - 21*r**2/2 + 38. Let p(m) be the second derivative of g(m). Solve p(u) = 0.
-2, 0, 1
Solve 2779*f**4 - 30*f**3 - 49*f**2 - 2754*f**4 - 21*f**2 - 75 - 40*f**2 + 185*f + 5*f**5 = 0.
-5, -3, 1
Let k(z) be the first derivative of -28/3*z**3 - 56*z + 14 + 102*z**2. Factor k(j).
-4*(j - 7)*(7*j - 2)
Let v = -303 + 306. Let z(x) be the first derivative of v - 28/3*x**3 + 0*x + 2*x**2 + 49/4*x**4. Factor z(h).
h*(7*h - 2)**2
Factor 40*d + d**2 + 136 + 4*d**2 + 37*d + 134 + 28*d.
5*(d + 3)*(d + 18)
Let n(l) be the third derivative of -36*l**2 + 0*l + 0 + 1/30*l**5 - 2*l**4 + 48*l**3. Determine m, given that n(m) = 0.
12
Determine l so that -64/5*l**3 - 1184/5*l**2 - 612/5 - 1668/5*l = 0.
-17, -3/4
Let h(r) be the third derivative of -r**5/120 + 77*r**4/24 - 51*r**3/4 + 229*r**2. Factor h(g).
-(g - 153)*(g - 1)/2
Let s be (-10)/(-55) - (6 + 0 + 4032/(-572)). Determine a, given that -18/13*a + 2/13*a**2 + s = 0.
1, 8
Let y(r) be the third derivative of 0*r + 19*r**2 - 1/14*r**3 + 0 - 1/28*r**4 - 1/140*r**5. Factor y(l).
-3*(l + 1)**2/7
Let t(i) = 11*i**2 - 5*i - 6. Let j(k) = -k - 3 - k + 7*k**2 - 2*k**2. Let m be 24/(-30) + 29/5. Let d(n) = m*j(n) - 2*t(n). Factor d(g).
3*(g - 1)*(g + 1)
Let j(b) be the second derivative of 0 + 0*b**3 + 0*b**2 - 12*b + 1/90*b**6 + 0*b**4 - 1/60*b**5. Suppose j(q) = 0. Calculate q.
0, 1
Factor 159*c**2 + 4*c**3 - 7*c**3 + 45*c**3 + 35 - 89 - 147*c.
3*(c - 1)*(2*c + 9)*(7*c + 2)
Suppose 2*o + 2*o - 152 = 0. Suppose o*y = 42*y - 12. Determine s so that s**4 + 8*s**y + 1 - 4*s**3 - 4*s**3 - 2*s**2 = 0.
-1, 1
Let g(z) be the first derivative of 1/14*z**4 - 27 - 4/7*z**2 + 8/7*z - 2/21*z**3. Find i, given that g(i) = 0.
-2, 1, 2
Let r = -18063/4 + 4516. Factor 0 + r*t**3 - 1/2*t - 1/4*t**2.
t*(t - 2)*(t + 1)/4
Suppose 5*z = z + 16, -5*z - 4 = -4*v. Let p(g) = -g**2 - g + 1. Let j(d) = d**4 - d**3 + 5*d**2 + 7*d - 6. Let x(c) = v*p(c) + j(c). Factor x(b).
b*(b - 1)**2*(b + 1)
Let b be ((-4)/(-3)*(-3993)/(-1166))/5. Let o = b + -6/53. Solve -6/5*h - o*h**2 + 8/5*h**3 - 2/5*h**5 + 4/5 + 0*h**4 = 0 for h.
-2, -1, 1
Let n(r) be the third derivative of -r**5/12 + 25*r**4/3 - 1000*r**3/3 - 39*r**2 - 2. Factor n(w).
-5*(w - 20)**2
Let i(y) be the first derivative of -y**6/2 + 18*y**5/5 - 6*y**4 - 16*y**3 + 72*y**2 - 96*y + 159. Factor i(m).
-3*(m - 2)**4*(m + 2)
Let a(m) be the first derivative of m**6 - 3*m**5/5 - 9*m**4/4 - 137. Determine v so that a(v) = 0.
-1, 0, 3/2
What is j in 6/7 - 1/7*j**5 + 17/7*j - 4/7*j**4 + 0*j**3 + 2*j**2 = 0?
-3, -1, 2
Suppose 8/3*b**2 - 11/3*b - 20/3 - 1/3*b**3 = 0. What is b?
-1, 4, 5
Let i(d) = -3 - 3*d + d + d**2 - d + 5*d. Suppose 2*q = q + 4. Let n(r) = r**2 + 2*r - 2. Let h(z) = q*n(z) - 3*i(z). Suppose h(j) = 0. Calculate j.
-1
Let r(p) be the first derivative of -p**6/15 + p**5/10 + 9*p + 2. Let i(d) be the first derivative of r(d). Factor i(l).
-2*l**3*(l - 1)
Let y(n) = n**2 + 7*n + 9. Let z be y(-1). Let g(b) be the third derivative of 0 + 2*b**2 + 1/24*b**6 - 1/12*b**4 + 0*b**z + 0*b - 1/20*b**5. Factor g(k).
k*(k - 1)*(5*k + 2)
Let a(k) be the second derivative of -k**2 + 1/12*k**4 + 0 - 27*k + 1/6*k**3. Factor a(p).
(p - 1)*(p + 2)
Suppose -927*q**2 - 2455*q - 1071 + 15*q**3 + 456 - 898*q**2 = 0. What is q?
-1, -1/3, 123
Let v(r) be the first derivative of -r**5/20 - r**4/8 + r**3/4 - 324. Factor v(d).
-d**2*(d - 1)*(d + 3)/4
Let h(w) = -10*w**3 + 750*w**2 + 767*w. Let p(k) = -5*k**3 + 375*k**2 + 384*k. Let m(q) = 4*h(q) - 7*p(q). Factor m(u).
-5*u*(u - 76)*(u + 1)
Let d(c) be the third derivative of -c**7/35 - 7*c**6/80 + c**5/20 + 2*c**2 - 10*c. Suppose d(a) = 0. What is a?
-2, 0, 1/4
Let d(g) be the second derivative of 3/8*g**2 - 1/24*g**4 - 7*g - 1/20*g**5 + 1/6*g**3 - 1/120*g**6 + 0. Factor d(q).
-(q - 1)*(q + 1)**2*(q + 3)/4
Suppose 5*y = 18*y - 39. Let c(z) be the second derivative of -1/60*z**5 + 0*z**y - z + 0 + 0*z**6 + 1/126*z**7 + 0*z**2 + 0*z**4. Find f, given that c(f) = 0.
-1, 0, 1
Factor -12*t**2 - 9*t**3 + 204*t**5 - 22*t**2 - 6 + 195*t**5 - 400*t**5 - 8*t**4 - 23*t - 15*t**3.
-(t + 1)**3*(t + 2)*(t + 3)
Let s(q) = 3*q**2 + 5*q + 2. Let d(r) = 8*r**2 + 15*r + 7. Let j be (-8)/10*((-495)/18)/11. Let a(v) = j*d(v) - 7*s(v). Factor a(b).
-5*b*(b + 1)
Let p(l) = -46*l - 4416. Let y be p(-96). Factor 1/3*z**2 + 1/2*z**3 + y - 1/6*z**5 + 0*z**4 + 0*z.
-z**2*(z - 2)*(z + 1)**2/6
Let j(r) = 2*r**3 - 4*r**2 + 7*r - 5. Let q be j(2). Factor 55*w - 6 - 63*w - q*w**2 + 29*w.
-3*(w - 2)*(3*w - 1)
Let f(d) be the second derivative of -d**5/45 + 10*d**4/9 - 200*d**3/9 - 27*d**2/2 + 16*d. Let y(q) be the first derivative of f(q). Factor y(s).
-4*(s - 10)**2/3
Let r(z) be the third derivative of z**5/180 - 7*z**4/72 - z**3 - 43*z**2 - 2. Solve r(o) = 0.
-2, 9
Let s(b) be the first derivative of -b**6/12 - 13*b**5/10 - 51*b**4/8 - 21*b**3/2 - 62. Factor s(u).
-u**2*(u + 3)**2*(u + 7)/2
Let l = -22 + 25. Factor -2*b**2 + l*b - 13*b - b**2 + 24 - 11*b.
-3*(b - 1)*(b + 8)
Let p(i) be the second derivative of -3*i**5/110 - 5*i**4/44 + 2*i**3/11 + 6*i**2 - 10*i. Let t(y) be the first derivative of p(y). Let t(c) = 0. What is c?
-2, 1/3
Let b(i) be the third derivative of 0*i - 1/156*i**6 + 0*i**3 - 4/195*i**5 - 1/39*i**4 - 1/1365*i**7 + 0 + 3*i**2. Determine p, given that b(p) = 0.
-2, -1, 0
Let n(b) be the second derivative of b**7/42 + b**6/15 - b**5/10 - b**4/3 + b**3/6 + b**2 + 4*b - 2. Factor n(g).
(g - 1)**2*(g + 1)**2*(g + 2)
Let s(p) be the second derivative of 0*p**6 + 0*p**3 + 7*p + 0 - 1/4*p**5 + 0*p**2 + 0*p**4 + 5/42*p**7. Determine d, given that s(d) = 0.
-1, 0, 1
Let w(v) be the first derivative of 2*v**5/15 + 2*v**4/3 - 22*v**3/9 + 2*v**2 - 79. Factor w(j).
2*j*(j - 1)**2*(j + 6)/3
Let b(q) be the first derivative of -q**6/2520 + q**4/168 - q**3 - 11. Let x(h) be the third derivative of b(h). Factor x(d).
-(d - 1)*(d + 1)/7
Solve 16 - k - 22*k**2 + 4 - 14*k**2 + 35*k**2 = 0 for k.
-5, 4
Factor 32/5 - 6/5*c**2 + c**3 + 1/5*c**4 - 32/5*c.
(c - 2)*(c - 1)*(c + 4)**2/5
Let a be 0/(-154)*3/(-3 + 0). Factor -1/2*w**3 + 1/4 + a*w**4 - 1/4*w**2 + 3/8*w + 1/8*w**5.
(w - 2)*(w - 1)*(w + 1)**3/8
Let i(k) be the second derivative of -k**5/15 + 10*k**4/9 - 64*k**3/9 + 64*k**2/3 - 22*k. Find d such that i(d) = 0.
2, 4
Let l be ((-14)/5)/((-4)/10). Let m be -2 + l + 40/(-8). Factor 2/7*i**4 - 1/7*i**5 + 1/7*i + m*i**3 - 2/7*i**2 + 0.
-i*(i - 1)**3*(i + 1)/7
Let c(r) be the third derivative of -