*3 - p**2.
-(p - 1)*(p + 1)*(p + 5)/5
Suppose 0 = -g + 4*f + 6, -92 = 5*g + 2*f - 100. Solve 1/2*q**3 - 2*q**g - 8*q + 32 = 0.
-4, 4
Suppose 1327*l = 288 + 3693. Determine q so that -3/4*q**2 - 3 + 1/4*q**l - 4*q = 0.
-2, -1, 6
Let w = 507 - 505. Let r = -12/59 + 250/649. Solve -6/11*i + 4/11 + r*i**w = 0 for i.
1, 2
Let u(q) be the second derivative of -385*q**4/12 + 380*q**3/3 + 10*q**2 - 1329*q. Suppose u(n) = 0. What is n?
-2/77, 2
Suppose -4*k + 14 = 2. Let w(j) be the first derivative of 13 + 6*j - 54*j**2 - 4*j**4 + 3*j**4 + 3*j**k + 9*j**3 + 102*j. Find t such that w(t) = 0.
3
Factor 2984738440 - 5*w**5 - 4198535*w**3 + 2963482150*w**2 - 6410670*w**3 + 4564478673*w + 12620*w**4 - 74196412*w + 1468560159*w.
-5*(w - 842)**3*(w + 1)**2
Let j(h) = -2*h**4 - 2*h**3 - 12*h**2 - 12*h + 57. Let i(l) = 5*l**4 + 5*l**3 + 23*l**2 + 25*l - 115. Let k(p) = 3*i(p) + 7*j(p). Solve k(y) = 0 for y.
-3, 2, 3
Let t(z) be the third derivative of 9/77*z**8 + 0*z**4 + 0*z**3 + 4*z**2 - 36/385*z**7 + 3/110*z**6 + 0 - 1/330*z**5 - 2*z. What is y in t(y) = 0?
0, 1/6
Let l be 36108/35046 + (-8)/22. Factor -16/3*t - 6 + l*t**2.
2*(t - 9)*(t + 1)/3
Let d(f) be the second derivative of -3*f**5/20 - 19*f**4/2 - 169*f**3/2 - 198*f**2 - 5*f + 118. Factor d(t).
-3*(t + 1)*(t + 4)*(t + 33)
What is n in -5/6*n**2 - 2815/3 - 5635/6*n = 0?
-1126, -1
Let l(d) be the third derivative of -5/24*d**4 + 0 - 1/120*d**6 + 0*d**3 - 46*d**2 + 1/10*d**5 - 2*d. Factor l(u).
-u*(u - 5)*(u - 1)
Let m = 35623642/19943 - -494/1813. Let u = m - 1785. Factor -90/11*a**2 - u*a**3 - 1/11*a**4 + 216/11 - 108/11*a.
-(a - 1)*(a + 6)**3/11
Suppose -g - 5*k = 37, 653 - 657 = -4*g - k. Let f(v) be the first derivative of 5*v + 38 + 25/3*v**g - 15*v**2. Suppose f(p) = 0. Calculate p.
1/5, 1
Let i = 51241/210 + -244. Let r(n) be the third derivative of i*n**7 + 9*n**2 + 0*n**3 + 1/5*n**5 + 0 - 1/3*n**4 - 1/20*n**6 + 0*n. Factor r(f).
f*(f - 2)**3
Suppose 3*m - 6*o - 16 = -o, 4*m - 4*o = 16. Find a, given that a**3 + a**3 - 6*a**2 + 3*a - 7*a + m*a + 8 - 2*a**2 = 0.
-1, 1, 4
Let v(b) = 2*b**4 - b**3 + b**2 + 3*b. Let g(q) = 4*q**4 + 322*q**3 + 480*q**2 + 236*q + 56. Let z(d) = 2*g(d) + 36*v(d). Suppose z(n) = 0. Calculate n.
-28/5, -1, -1/2
Let n(c) be the first derivative of -2/15*c**5 + 0*c**3 + 2 + 2/3*c + 1/3*c**4 - 2/3*c**2. Factor n(q).
-2*(q - 1)**3*(q + 1)/3
Suppose -431*n**2 - 70*n**3 - 141*n**2 + 716*n**2 - 12 + 202*n = 0. What is n?
-1, 2/35, 3
Suppose -624 = -5*d + 336. Let c(i) = -d*i - 25*i**2 - i**3 - 408 - 105 + 2*i**2. Let a(k) = k**2 - 1. Let h(r) = a(r) - c(r). Factor h(l).
(l + 8)**3
Let f(p) be the first derivative of -p**6/18 + p**5/5 + 7*p**4/3 + 156. Factor f(l).
-l**3*(l - 7)*(l + 4)/3
Let u(m) be the second derivative of -11*m**6/600 - m**5/8 - 3*m**4/20 - 5*m**3/6 + 2*m**2 + 2*m. Let a(t) be the second derivative of u(t). Factor a(l).
-3*(l + 2)*(11*l + 3)/5
Let c(t) = -t**2 + 71*t + 18. Let k be c(8). Let l = k - 517. Factor 1/3*m**l - 1/3*m**4 + 0*m + 0 + 1/3*m**2 - 1/3*m**3.
m**2*(m - 1)**2*(m + 1)/3
Let l be (-8)/(-23 + -1) - 16/(-60). Find a, given that 4/5 - 7/5*a**2 - l*a = 0.
-1, 4/7
Let v(i) = 153*i**2 - 215*i + 413. Let k(g) = 183*g**2 - 216*g + 414. Let s(a) = -5*k(a) + 6*v(a). Factor s(w).
3*(w - 68)*(w - 2)
Let s = -6493081/6 + 1084716. Let u = s + -4905/2. Find l, given that 10/3*l**4 + 25*l**3 + 625/6*l + 0 + u*l**2 + 1/6*l**5 = 0.
-5, 0
Suppose 6*s - 3*s - 936*s**2 + 6*s - 240*s**2 = 0. Calculate s.
0, 3/392
Suppose 5*n - 8 = 4*o + 27, 0 = -3*o - 3*n - 6. Let q(v) = -v**3 - 4*v**2 + 5*v + 2. Let k be q(o). Factor k*g**2 + 6*g + 4*g - 6*g + 2.
2*(g + 1)**2
Solve -5/3*m**4 + 5/3*m**2 - 2*m**3 + 11/6*m + 1/6*m**5 + 0 = 0.
-1, 0, 1, 11
Factor -4/3*g**4 + 224/3*g**2 + 0*g - 40/3*g**3 + 0.
-4*g**2*(g - 4)*(g + 14)/3
Let t(z) be the second derivative of -z - 1/4*z**4 - 4*z**3 + 27/2*z**2 - 7. Determine x so that t(x) = 0.
-9, 1
Let n(p) be the first derivative of -p**3/18 - 2*p**2/3 - 5*p/2 + 4740. Suppose n(t) = 0. What is t?
-5, -3
Let x(c) be the first derivative of -c**8/1680 - c**7/420 + c**6/120 + c**5/30 - c**4/6 - 5*c**3 - 33. Let v(d) be the third derivative of x(d). Factor v(p).
-(p - 1)**2*(p + 2)**2
Suppose 161*p + 3*l = 160*p - 13, -3*l - 11 = 2*p. Solve 2/5*y**p + 34/5*y + 0 = 0 for y.
-17, 0
Let c = 255 - 253. Factor -18 - c*h**2 + 31 - 10 - 3*h**2 - 18 - 20*h.
-5*(h + 1)*(h + 3)
Let n(v) = -3*v**4 - v**3 + v**2. Let u(k) = 14*k**4 + 233*k**3 + 2842*k**2 + 4180*k - 7260. Let a(t) = 3*n(t) + u(t). Solve a(f) = 0.
-22, -3, 1
Let w(o) be the second derivative of -o**4/6 + 5*o**3/3 + 594*o**2 + 578*o. Suppose w(f) = 0. What is f?
-22, 27
Let r be ((-4)/(-2) - (-47)/(-22))/(6/(-33)). Factor -21*l - r*l**4 - 24*l**2 + 0 - 33/4*l**3.
-3*l*(l + 2)**2*(l + 7)/4
Let p(g) be the second derivative of -5*g**7/42 + 2*g**6/3 - 25*g**4/6 + 5*g**3/6 + 15*g**2 + 560*g. Let p(s) = 0. What is s?
-1, 1, 2, 3
Factor -2/7*h**2 - 152/7*h - 710/7.
-2*(h + 5)*(h + 71)/7
Let u(h) be the third derivative of 5*h**8/84 - 90*h**7/7 + 19517*h**6/24 - 43357*h**5/6 + 120575*h**4/8 - 42250*h**3/3 - 8367*h**2. Let u(k) = 0. Calculate k.
1/2, 4, 65
Let t be 5/3*16608/80. Let i = 346 - t. Solve -1/12*a**5 - 1/12*a - 1/3*a**4 - 1/3*a**2 + i - 1/2*a**3 = 0.
-1, 0
Let r(c) be the second derivative of 11/12*c**3 + 13/48*c**4 + 0*c**2 + 0 + 52*c + 1/80*c**5. Factor r(q).
q*(q + 2)*(q + 11)/4
Let n(v) = -5*v**3 - 10*v**2 - 29*v. Let g(p) be the third derivative of p**6/120 + p**4/24 + 5*p**2. Let x(t) = 4*g(t) + n(t). Factor x(r).
-r*(r + 5)**2
Let o(n) be the third derivative of n**6/120 - n**5/20 + n**4/8 - 20*n**2. Let b be o(2). Factor 6*s**3 + 4*s**2 + 11*s**2 + 15 - 30*s**b - 5*s - s**3.
5*(s - 3)*(s - 1)*(s + 1)
Factor 3*s**3 - 7*s**3 - 179*s**2 - 1228*s**2 + 7*s**2.
-4*s**2*(s + 350)
Find g such that 24*g**3 - 48*g - 22*g**2 + 59*g**3 - 82*g**3 = 0.
-2, 0, 24
Let z(p) be the first derivative of -4*p**3/3 + 508*p**2 - 2016*p + 654. Factor z(l).
-4*(l - 252)*(l - 2)
Suppose -312 = -9*y - 17*y. Factor -358*n + 2*n**2 + 78*n - y*n**2 + 12*n**2 + 9800.
2*(n - 70)**2
Determine q, given that -728 + 1/3*q**2 - 1090/3*q = 0.
-2, 1092
Suppose 177 + f**2 - 543 - 843*f - 61 - 417 = 0. Calculate f.
-1, 844
Let f(k) = k**3 + 16*k**2 + 14*k + 49. Let y be f(-15). Factor 24*g + 7*g**2 - y*g + 40*g**3 - 2*g**2 - 5*g**4.
-5*g*(g - 8)*(g - 1)*(g + 1)
Let z be (-19 - -16)/(252/1440*30/(-16)). Suppose -v = 5 - 17. Let -v*l**4 + 68/7*l**2 - 36/7*l**5 + 16/7 + z*l - 4*l**3 = 0. What is l?
-1, -2/3, 1
Let g(l) be the first derivative of -3*l**5/20 + 237*l**4/16 - 305*l**3/4 + 1131*l**2/8 - 225*l/2 + 4392. Determine s so that g(s) = 0.
1, 2, 75
Let p(o) be the second derivative of o**7/5040 + o**6/180 - 3*o**5/80 - o**4/6 - 28*o**2 - 35*o. Let h(i) be the third derivative of p(i). Factor h(y).
(y - 1)*(y + 9)/2
Factor 988/7*x - 1992/7 + 4/7*x**2.
4*(x - 2)*(x + 249)/7
Let h = -254 - -309. Find z, given that 42*z**4 + 12*z**3 - 101*z**4 - 16*z + h*z**4 = 0.
-1, 0, 2
Let l be (10/(-2) - (-42 + 33)) + -4. Let w(h) be the second derivative of -1/84*h**4 - 14*h**2 - 9*h + l - 2/3*h**3. Factor w(b).
-(b + 14)**2/7
Let u be ((-12)/(-18))/((-8)/(-869844)). Factor 2*a**5 - u + 72487 - 8*a**3.
2*a**3*(a - 2)*(a + 2)
Let j(n) be the second derivative of 3/17*n**4 - 1/170*n**5 + 7/17*n**3 - 134 + n - 38/17*n**2. Determine c, given that j(c) = 0.
-2, 1, 19
Suppose -d - 2*k - 2*k + 3 = 0, 4*d + 3*k - 12 = 0. Find p such that -119*p**2 + 129*p**2 + p**5 - 7*p**4 + 0*p**d - p**3 - 3*p**4 = 0.
-1, 0, 1, 10
Factor -2/9*o**3 + 742/9*o + 0 - 92/9*o**2.
-2*o*(o - 7)*(o + 53)/9
Let t(d) = 2*d. Let u(s) = -4*s**2 + 22340*s - 31158724. Let w(b) = 6*t(b) - u(b). Determine j, given that w(j) = 0.
2791
Let c be (71/(7455/(-20)))/(6/(-9)). What is z in 4/7*z + 8/7*z**3 + 2*z**2 - c = 0?
-1, 1/4
Factor -2 + 2 + 3944*a**3 + 52*a**2 - 3939*a**3 + 20*a.
a*(a + 10)*(5*a + 2)
Let k(f) be the second derivative of f**5/5 + 106*f**4/3 + 206*f**3/3 - 420*f**2 + 22*f - 10. Factor k(z).
4*(z - 1)*(z + 2)*(z + 105)
Let i(m) be the second derivative of 5/4*m**4 + 48*m**2 - 41*m**3 + 38*m + 0. Solve i(r) = 0 for r.
2/5, 16
Let j be ((-9)/(-4))/(3/72). Suppose -57*a + 144 = -j*a. Factor -58*g + 28*g**3 - 84 - a*g**2 - 42*g + 60.
4*(g - 3)*(g + 1)*(