2 - 2464/5*m.
-4*(m + 308)**2/5
Suppose -7 = -j + 3*j - 5*l, -26 = -5*j - 2*l. Suppose 0 = 5*k - 14*h + 17*h - 60, -25 = 5*h. Factor k*i - 12*i**4 + 8*i**4 + 13 + 5*i - 5 + 12*i**2 - j*i**3.
-4*(i - 2)*(i + 1)**3
Let c(t) be the third derivative of t**6/20 + 3*t**5/20 - 3*t**4/8 - t**3 - 345*t**2. Factor c(b).
3*(b - 1)*(b + 2)*(2*b + 1)
Let d(l) = 2*l**2 - l. Let m(o) = 7*o**5 - 261*o**4 + 564*o**3 - 134*o**2 - 3*o. Let y(r) = -6*d(r) + 2*m(r). Find n, given that y(n) = 0.
0, 2/7, 2, 35
Let w = 27/118568 - -829895/355704. Solve -w*f**2 + 38/3 - 131/3*f = 0.
-19, 2/7
Let o(g) = g**3 + g**2 + g - 12. Let w(m) = -6*m**3 - 42*m**2 + 282*m - 216. Let c(x) = -2*o(x) - w(x). Determine t so that c(t) = 0.
-15, 1, 4
Let b(p) = p**5 - 13*p**4 - 94*p**3 + 223*p**2 - 107*p + 55. Let u(t) = t**4 - t**3 - t**2 - t - 11. Let m(z) = -b(z) - 5*u(z). Let m(f) = 0. Calculate f.
-8, 0, 1, 14
Let q be (14/(-12) + 1)/(7 - (12 + -2)). Let j(o) be the first derivative of 0*o + 22 - 2/15*o**5 - q*o**6 + 4/9*o**3 + 1/4*o**4 - 2/3*o**2. Factor j(i).
-i*(i - 1)**2*(i + 2)**2/3
Let m(b) be the second derivative of -14*b - 27/4*b**2 - 1 - 3/8*b**4 - 9/4*b**3 - 1/40*b**5. Let m(r) = 0. What is r?
-3
Let y(i) = -2*i**3 + 135*i**2 + 70*i - 109. Let s be y(68). Suppose -s*f + 12 = -69. Suppose 0 - 8/9*r + 2/9*r**4 - 10/9*r**f + 16/9*r**2 = 0. Calculate r.
0, 1, 2
Let d = -36 + 42. Let y be 13/(-39) - (-11)/d. Solve -3/2 + 0*s + y*s**2 = 0.
-1, 1
Let h(j) = -2*j**3 + 10*j**2 - 8. Suppose -40 = -20*g + 25*g. Let l(f) = f - 1. Let n(u) = g*l(u) + h(u). Factor n(v).
-2*v*(v - 4)*(v - 1)
Suppose -231 - 444 = -9*o. Suppose -o - 4*i**2 - i**2 - 50*i + 17*i - 47*i = 0. What is i?
-15, -1
Let r(q) be the second derivative of -q**4/20 - 227*q**3/5 - 1359*q**2/10 + 1834*q. Find v such that r(v) = 0.
-453, -1
Let a be ((-8)/6)/2*(-8 - -5). Suppose -a*z - 25 + 29 = 0. Let -2/7*i**5 + 0*i**z + 0 + 2/7*i**3 + 0*i**4 + 0*i = 0. Calculate i.
-1, 0, 1
Let l be ((5 + -11)/(-3))/((-38)/(-57)). Let k(n) be the first derivative of -25/3*n + 27 - 5/2*n**2 + n**l - 1/12*n**4. Factor k(i).
-(i - 5)**2*(i + 1)/3
Factor -513/5*k - 99/5*k**2 + 1083 - 3/5*k**3.
-3*(k - 5)*(k + 19)**2/5
Find x such that -131/4*x**2 - 1/8*x**4 - 33*x**3 + 33*x + 263/8 = 0.
-263, -1, 1
Let f(t) = 2*t**2 - 2*t - 6. Let s be f(-4). Let c = 36 - s. Find i, given that 10 + 2*i**c - 7 + 6*i + 1 = 0.
-2, -1
Let r be (-8)/32*4 - -4. Suppose -t = -4*t + 3*i + r, -t + 5 = i. Factor -4/7*a**t - 16/7*a**2 + 0 - 12/7*a.
-4*a*(a + 1)*(a + 3)/7
Let u be (-2)/18 + (-3573)/(-81). Find l, given that 1136 + 2*l**2 - u*l + 91 + 1085 - 92*l = 0.
34
Suppose -12*k + 57 = 3*l - 9*k, 3*l - 62 = 2*k. What is j in 100 - 201 + 45 + 4*j**2 - l*j = 0?
-2, 7
Suppose f - 4*f + 221 = -4*p, -5*p = -5*f + 275. Let h = -52 - p. Factor 36*x**2 + h*x**4 + 8 - 2*x - 15*x - 11*x - 20*x**3.
4*(x - 2)*(x - 1)**3
Let r be 2 + (-3 - -3) + (2 - 6) + (-1924)/(-222). Find n, given that -34/9*n + r + 2/9*n**2 = 0.
2, 15
Let q(a) be the second derivative of -3*a**5/160 + a**4/4 + 23*a**3/16 - 315*a**2/8 + 9*a - 57. Let q(r) = 0. Calculate r.
-5, 6, 7
Let x(t) = -3*t**4 + 10*t**3 + 14*t**2 - 69*t - 39. Let m(n) = 6*n**4 - 20*n**3 - 29*n**2 + 131*n + 77. Let h(f) = 3*m(f) + 5*x(f). Factor h(d).
(d - 3)**2*(d + 2)*(3*d + 2)
Let u(p) = 38*p**4 + 1287*p**3 - 25575*p**2 - 26905*p - 9. Let h(k) = 68*k**4 + 2252*k**3 - 44756*k**2 - 47084*k - 16. Let c(o) = 9*h(o) - 16*u(o). Factor c(r).
4*r*(r - 41)**2*(r + 1)
Suppose -6*z = -11*z + 20. Suppose -x - z + 10 = 0. Determine p, given that 5*p + 18 - x - 2*p**2 - 7*p = 0.
-3, 2
Let g(u) be the second derivative of -u**6/120 + 73*u**4/48 - 3*u**3 + u - 3758. Find t, given that g(t) = 0.
-9, 0, 1, 8
Let n(l) be the second derivative of -l**7/168 - 3*l**6/20 - 31*l**5/80 + 3*l**4/8 + 4*l**3/3 - 400*l + 14. Let n(d) = 0. What is d?
-16, -2, -1, 0, 1
Let l be (-16)/(-512) - 142460/(-36992). What is i in -254/17*i**2 + 8/17*i**5 + 214/17*i**3 + 36/17 - 70/17*i**4 + l*i = 0?
-1/4, 1, 2, 3
Let g(c) = c**3 - 9*c**2 + 14*c + 2. Let z be g(7). Find i, given that i**2 + 35*i + 48 - 53*i**z + 24*i**2 - 195*i = 0.
-6, 2/7
Suppose 3*x + 14 = -2*k, 4*k + 52*x + 4 = 50*x. Factor 2662/7 - 726/7*n - 2/7*n**3 + 66/7*n**k.
-2*(n - 11)**3/7
Suppose 66*n - 5*d = 63*n + 25, 4*n - 2*d - 10 = 0. Suppose -r + 2 + 1 = 0. Factor 16/7*i**2 + 0*i + 4/7*i**r + n.
4*i**2*(i + 4)/7
Let n(h) be the first derivative of 5/8*h**4 + 3/4*h**2 - 69 - 11/6*h**3 + 0*h + 3/10*h**5. Determine s so that n(s) = 0.
-3, 0, 1/3, 1
Let f(d) be the second derivative of -d**5/20 - 7*d**4/3 + 13*d**3/3 - 43*d**2 - 95*d + 1. Let h be f(-29). Factor -1/2*r - h + 1/2*r**2.
(r - 2)*(r + 1)/2
Let u be 12/3 - (528/(-324))/((-2)/3). Let d(w) be the first derivative of -11/3*w**2 + 23 + 10/3*w - 1/6*w**4 + u*w**3. Suppose d(f) = 0. Calculate f.
1, 5
Let n(k) be the first derivative of k**6/210 + 2*k**5/35 + 3*k**4/14 + 8*k**3/21 + 5*k**2/14 - 59*k + 71. Let i(j) be the first derivative of n(j). Factor i(y).
(y + 1)**3*(y + 5)/7
Suppose -3*n + 2*l + 1758 = 0, -3*n - l + 2355 = n. Let o = 590 - n. Determine y so that 0 + 1/4*y**3 + 7/8*y**4 - 7/8*y**o - 1/4*y = 0.
-1, -2/7, 0, 1
Determine y so that -1036/5 + 162/5*y - 2/5*y**2 = 0.
7, 74
Let r(n) be the first derivative of -1/33*n**6 + 0*n**2 + 12/55*n**5 + 0*n + 16/33*n**3 + 69 - 6/11*n**4. Factor r(s).
-2*s**2*(s - 2)**3/11
Suppose 9576/5*x**3 + 13720578984/5*x + 17193708/5*x**2 + 4105883260962/5 + 2/5*x**4 = 0. Calculate x.
-1197
Let t be (-1)/(-14) - (-855)/(-798). Let h be (t*(7 + 165/(-25)))/(-2). Factor 4/5*i**2 - 4/5*i + h*i**3 - 1/5*i**4 + 0.
-i*(i - 2)*(i - 1)*(i + 2)/5
Factor 9*u - 54 + 188 + 129 - 8 - 3*u**2 + 9.
-3*(u - 11)*(u + 8)
Let a(t) be the first derivative of -23*t**3/3 + 137*t**2/4 + 3*t/2 + 3312. Factor a(g).
-(g - 3)*(46*g + 1)/2
Let q(m) be the first derivative of -m**6/1260 + 3*m**5/20 + 16*m**4/21 + 41*m**3/3 + 4*m - 165. Let a(g) be the third derivative of q(g). Factor a(j).
-2*(j - 64)*(j + 1)/7
Let v = -59 + 314. Suppose 5*s - j = 255, 5*s + 3*j = -j + v. Suppose -18 - 5*r**2 + 9*r + s*r - 162 = 0. What is r?
6
Let v = 778 - 774. Factor -57*o - 45*o + o**3 - 4*o**3 - 3*o**2 + 3*o**v + 105*o.
3*o*(o - 1)**2*(o + 1)
Let d(a) be the third derivative of -a**5/36 + 3*a**4/8 + 16*a**3/9 - 55*a**2 + 5. Solve d(s) = 0.
-1, 32/5
Let a(g) = g**3 - 3*g**2 + 3*g - 2. Let w be a(2). Suppose -3*s + 13 + 10 = 5*d, 4*d - 5*s - 11 = w. Suppose 2 + 5*h - 7 + 5 - h**3 - d*h**2 = 0. What is h?
-5, 0, 1
Let d = 550210 + -550208. Let -4 + 2/7*n**d - 10/7*n = 0. What is n?
-2, 7
Let y be (147/(-98))/((-3)/1022). Let n = 1541/3 - y. Factor -n - 4/3*q**2 + 76/9*q.
-4*(q - 6)*(3*q - 1)/9
Let m(d) = d**5 + d**4 + 3*d**3 - 13*d**2 + 8*d - 9. Let c(a) = a**3 - a**2 - 1. Let n(t) = -18*c(t) + 2*m(t). Suppose n(z) = 0. Calculate z.
-2, 0, 1, 2
Suppose -214*c + 6 = -211*c. Factor -22*s**3 - 62*s**3 - 12*s**4 - 31*s**2 + 4*s**5 - 20*s**2 - 32*s - 41*s**c - 8*s**4.
4*s*(s - 8)*(s + 1)**3
Let m be 1/((0 + 1)/1). Suppose 3*w = 11 + m. Determine p so that 5*p**5 - 5*p**3 + p**w - 7*p**2 + 0*p**4 + 4*p**4 + 2*p**2 = 0.
-1, 0, 1
Let s be ((-2)/9 + 77/462)/(-1 + -9). Let c(k) be the third derivative of 0*k**3 - 15*k**2 + 0 + 0*k - 7/72*k**4 - s*k**5. Find u such that c(u) = 0.
-7, 0
Let o(g) be the first derivative of -14/45*g**5 + 5/18*g**4 + 0*g**2 - 33 + 0*g + 4/27*g**3. Factor o(v).
-2*v**2*(v - 1)*(7*v + 2)/9
Let l(w) be the third derivative of w**6/240 + 21*w**5/80 - 11*w**4/8 - 21*w**3/2 + 49*w**2. Let v(p) be the first derivative of l(p). Factor v(q).
3*(q - 1)*(q + 22)/2
Let n = -690 - -694. Suppose 4*m - 1 = 3, -n*d - 2*m + 10 = 0. Find b such that 0 - 2/7*b**3 + 0*b - 1/7*b**d - 1/7*b**4 = 0.
-1, 0
Let n(w) = w**5 + 6*w**4 + 26*w**3 + 12*w**2 + 3*w. Let h = 246 - 243. Let d(p) = p**4 - 2*p**3 - p. Let l(f) = h*d(f) + n(f). Factor l(i).
i**2*(i + 1)*(i + 2)*(i + 6)
Let m(g) be the second derivative of 4/21*g**3 - 39/35*g**5 - 250*g - 37/21*g**4 + 0 + 0*g**2. Let m(o) = 0. Calculate o.
-1, 0, 2/39
Let c(p) be the third derivative of -3*p**6/10 - 32*p**5/15 + 61*p**4/6 - 40*p**3/3 - 2*p**2 - 53*p - 20. Factor c(z).
-4*(z - 1)*(z + 5)*(9*z - 4)
Let i(x) be the second derivative of x**5/180 + 11*x**4/72 - 7*x**3/3 + 86*x**2 + 4*x + 1. Let b(n) b