p).
-3*p**3*(p - 1)**2
Let f(u) = -u**2 + 40*u + 44*u - 81*u + 2. Let w be f(3). Factor -274 + 268 + 2*r**2 - 14*r**w + 2*r**4 + 16*r.
2*(r - 1)**3*(r + 3)
Let y = 209590 + -1047946/5. Let y*a**4 + 4/5 + 0*a**3 - 8/5*a**2 + 0*a = 0. What is a?
-1, 1
Let q(m) be the first derivative of m**4/6 + 2*m**3/3 - 56*m - 95. Let g(t) be the first derivative of q(t). Factor g(z).
2*z*(z + 2)
Find n, given that 10376/7*n - 2/7*n**2 - 13457672/7 = 0.
2594
Let i = -107 + 182. Let t = -74 + i. Factor -4*f - 3 - 2*f**2 - t - 3*f + f.
-2*(f + 1)*(f + 2)
Let f(d) be the third derivative of d**5/120 - 115*d**4/8 + 39675*d**3/4 - 2685*d**2. Factor f(u).
(u - 345)**2/2
Suppose 1730*u - 1714*u - 39 = -39. Factor 1/2*s**2 - s + u + 1/2*s**3.
s*(s - 1)*(s + 2)/2
Let q(j) = 14*j - 40. Let s be q(3). Let r(y) be the second derivative of 0 + 1/90*y**5 - 10*y + 1/9*y**s - 1/54*y**4 - 1/27*y**3. What is w in r(w) = 0?
-1, 1
Suppose 17 = 3*j + 5. Suppose j*r = 5*r - 2. Factor -8*t**2 + 25*t**3 - 8*t**2 + 5*t**2 + t**r.
5*t**2*(5*t - 2)
Let n(f) be the third derivative of 157*f**2 + 0*f + 0 - 1/36*f**4 + 1/18*f**3 + 1/180*f**5. Determine x so that n(x) = 0.
1
Suppose -88 = -l - 3*n, l + 5*n - 324 = -3*l. Factor -116*a**3 - 16*a**2 - l*a - 56 + 36*a**3 + 41*a**3 + 43*a**3.
4*(a - 7)*(a + 1)*(a + 2)
Let h = 1014523/6 - 169087. Suppose 2/3*o**3 - 2/3*o - h*o**4 + 2/3 - 1/2*o**2 = 0. What is o?
-1, 1, 2
Let t(d) = d**3 - 14*d**2 + 25*d - 8. Let j be t(12). Suppose 3*m + 10 = 8*m, -4 = j*n - 2*m. Factor n - 2/3*y**2 + 4/3*y.
-2*y*(y - 2)/3
Let o be 10 - 5676672/600990 - (-2)/(-23). Let h = o + -2/335. Factor h*z**2 - 2/13*z**3 + 10/13 + 18/13*z.
-2*(z - 5)*(z + 1)**2/13
Let x(o) be the third derivative of o**6/60 + 691*o**5/10 + 477481*o**4/4 + 329939371*o**3/3 - 18*o**2 + 19*o. Suppose x(n) = 0. Calculate n.
-691
Let k(u) be the third derivative of 0*u - 7*u**2 - 8*u**3 + 1/20*u**5 - 7 - 15/8*u**4. Factor k(z).
3*(z - 16)*(z + 1)
Let t = 642 + -638. What is r in -r**3 + 2 - 72*r - t*r**3 + 47*r - 1 + 9 + 20*r**2 = 0?
1, 2
Find z, given that 48 - 103*z + 128*z**3 - 61*z**3 - 150*z**2 - 37*z + 22*z**4 - 7*z**3 = 0.
-4, -1, 3/11, 2
Let q(v) be the third derivative of -1/15*v**6 + 0 - 16/3*v**4 - 1/420*v**7 - 64/3*v**3 - 4/5*v**5 - v - 191*v**2. Let q(c) = 0. What is c?
-4
Let k(c) be the second derivative of c**4/12 - 5*c**3/2 - 350*c**2 - 6111*c. Factor k(n).
(n - 35)*(n + 20)
Factor 3/4*m**3 - 33/2*m + 27/4*m**2 + 0.
3*m*(m - 2)*(m + 11)/4
Let 68*y**2 + 72*y + 0 + 4/3*y**4 + 56/3*y**3 = 0. Calculate y.
-9, -3, -2, 0
Let f(h) be the second derivative of 19321*h**4/12 - 139*h**3 + 9*h**2/2 + 3*h + 97. Factor f(y).
(139*y - 3)**2
Let q(x) be the second derivative of 1 + 121*x**2 + 1/6*x**4 + 22/3*x**3 - 77*x. Suppose q(w) = 0. Calculate w.
-11
Let k = -439 - -1228. Suppose -770*m + k*m - 95 = 0. Suppose 3/2*v**3 + 2*v**2 - 2*v + 0 + 1/2*v**m - 2*v**4 = 0. What is v?
-1, 0, 1, 2
Let g(s) be the first derivative of -s**4/2 + 16*s**3/3 - 11*s**2 - 40*s - 5298. Factor g(c).
-2*(c - 5)*(c - 4)*(c + 1)
Let o(q) be the first derivative of -q**7/1680 + 7*q**6/360 + 2*q**5/15 + 26*q**3 - 2*q - 72. Let a(r) be the third derivative of o(r). Factor a(n).
-n*(n - 16)*(n + 2)/2
Suppose 176 - 3171*a + 2*a**2 + 3263*a - 4*a**2 - 2*a**2 + 6*a**2 = 0. Calculate a.
-44, -2
Factor 327*o**2 - 95*o**2 - 11*o**3 + 7*o**3 - 1368 - 204*o.
-4*(o - 57)*(o - 3)*(o + 2)
Let t(u) = -4*u**2 - u. Let q(p) be the third derivative of 7*p**5/20 + p**4/8 - 4*p**3 + 40*p**2. Let g(n) = -2*q(n) - 10*t(n). Find l such that g(l) = 0.
-4, 6
Let f(d) be the second derivative of -d**5/30 - 19*d**4/18 - 70*d**3/9 + 21*d - 116. Determine q so that f(q) = 0.
-14, -5, 0
Let v = 2 + 1. Let j(h) = -3*h - 36. Let r be j(-17). Find a, given that -4*a**v - 4 + r*a**3 - 10*a**3 + 3*a**2 = 0.
-2, 1
Suppose 44*s = 15 + 29. Let k be (22/18 - s)/((-18)/(-162)). Factor -1/9 - 1/3*f**k + 1/3*f + 1/9*f**3.
(f - 1)**3/9
Factor 4*c**2 + 0*c - 2/5*c**3 + 0.
-2*c**2*(c - 10)/5
Let h(r) be the second derivative of r**6/105 - 6*r**5/7 - 31*r**4/21 + 20*r**3/7 + 61*r**2/7 - 1023*r. Suppose h(a) = 0. Calculate a.
-1, 1, 61
Factor 2/7*c**4 - 284/7*c**3 + 207646/7 + 13536/7*c**2 - 220900/7*c.
2*(c - 47)**3*(c - 1)/7
Let t(n) be the second derivative of n**5/120 + 3*n**4/4 + 17*n**3/3 + 50*n**2/3 + 41*n - 23. Factor t(w).
(w + 2)**2*(w + 50)/6
Solve -20/3*z**2 + 40*z + 0*z**4 + 48 - 10*z**3 + 2/3*z**5 = 0.
-2, 3
Let w(j) = j**3 + 23*j**2 + 152*j + 4. Let u(v) = -2*v**3 - 22*v**2 - 153*v - 6. Let m(x) = -2*u(x) - 3*w(x). What is a in m(a) = 0?
-5, 0, 30
Let v(h) be the second derivative of 20*h**2 + 7 + 1/6*h**6 - 125/6*h**3 - 11/4*h**5 + 45/4*h**4 + 2*h. Factor v(y).
5*(y - 8)*(y - 1)**3
Factor -133*k**2 + 155*k**3 - 154*k**3 + 8174808 + 14490379 + 240267*k + 16*k**2 + 966*k**2.
(k + 283)**3
Let r(a) = 32*a - 193. Let m be r(6). Let u be 1*m + 434/310. Factor -u + 2/5*d**2 + 3/5*d.
(d + 2)*(2*d - 1)/5
Let w = 1123 - 1125. Let y be 50/3 + (-4)/w. Find x such that -8/3 - 98/3*x**2 - y*x = 0.
-2/7
Let y(i) be the second derivative of i**4/48 - 17*i**3/6 + 195*i**2/8 + 195*i. What is x in y(x) = 0?
3, 65
Suppose 5*k = 14 - 4. Factor 12*c**3 + 4*c + 17*c**k + 0*c - c**2 + 0*c.
4*c*(c + 1)*(3*c + 1)
Suppose -882*y**2 + 194 + 945 - 5736*y**3 + 291 - 873*y + 328 + 5733*y**3 = 0. Calculate y.
-293, -2, 1
Let j(f) = -11*f**2 + 6*f - 6. Let k = 337 + -336. Let r(l) = -l**2 - 1 + 0*l + 4*l - 3*l. Let u(a) = k*j(a) - 6*r(a). Find c, given that u(c) = 0.
0
Let z(f) be the first derivative of -f**6/6 + 406*f**5/5 - 40793*f**4/4 - 86092*f**3/3 + 146472*f**2 - 166464*f + 8430. Suppose z(l) = 0. What is l?
-4, 1, 204
Let i(p) be the third derivative of p**6/120 - 49*p**5/30 + 1225*p**4/24 - 686*p**3 - 4761*p**2. Factor i(y).
(y - 84)*(y - 7)**2
Let y(g) = -8*g**2 - 240*g + 230. Let q(b) = 22*b**2 + 480*b - 457. Let m(j) = -2*q(j) - 5*y(j). Solve m(k) = 0.
1, 59
Suppose -5*k = -8*a + 5*a - 174, -k + 32 = -2*a. Suppose 4*g = k - 24. Factor -12/7 - 32/7*t - 4*t**2 - 8/7*t**g.
-4*(t + 1)**2*(2*t + 3)/7
Let c be ((-1304)/1141)/(2/(-6)). Let b = 2/27 + 13/189. Let c*t + b*t**2 + 16/7 + 1/7*t**4 - 6/7*t**3 = 0. Calculate t.
-1, 4
Let s(t) = -1485*t. Let l be s(0). Let q(b) be the third derivative of 2/3*b**4 + 0 - 31*b**2 - 32/3*b**3 + l*b - 1/60*b**5. Factor q(d).
-(d - 8)**2
Factor 25/2*g - 1/2*g**3 + 1/2*g**2 - 25/2.
-(g - 5)*(g - 1)*(g + 5)/2
Suppose 5*l + 23 = -2*x, -2*x = -0*x + l + 3. Let m be (x + -4)/(3*(-1)/2). Let -9/8*y**m - 3/4*y - 3/8*y**3 + 0 = 0. Calculate y.
-2, -1, 0
Let p be (-972)/680 + (-21)/210 + 2*(4 - 3). Factor 62/17*j - 70/17 + p*j**2.
2*(j - 1)*(4*j + 35)/17
Let a(k) = -12*k**2 - 16*k - 12. Let x(b) = b**2 + 5*b - 1. Let g(s) = -a(s) - 8*x(s). Suppose g(o) = 0. Calculate o.
1, 5
Let y(l) be the second derivative of 7/2*l**4 + 34*l - 1 - 9/10*l**6 - 4*l**3 + 39/20*l**5 + 0*l**2. Factor y(z).
-3*z*(z - 2)*(z + 1)*(9*z - 4)
Suppose 45 = 5*r, -4*v + 36 = 3*r + 9. Suppose v - 1/3*j**3 - j**2 - 2/3*j = 0. Calculate j.
-2, -1, 0
Suppose 26 = -12*d - d. Let m(v) = v**2 + 2*v + 1. Let c(p) = -4*p**2 - 26*p + 18. Let o(w) = d*c(w) - 12*m(w). Suppose o(q) = 0. What is q?
3, 4
Solve -256/7*p + 4/7*p**4 + 64/7*p**3 - 436/7*p**2 + 240 = 0.
-21, -2, 2, 5
Let v(x) = -21*x**2 + 12*x - 3. Let z(g) = -5*g**2 + 2. Let y(a) = 5*v(a) - 20*z(a). Factor y(o).
-5*(o - 11)*(o - 1)
Let c(r) be the first derivative of -40/7*r**4 + 208/21*r**3 - 18/7*r - 3*r**2 + 85. Solve c(a) = 0.
-1/5, 3/4
Suppose -5*x = 3*h + 505, -3*x = 137*h - 139*h + 322. Let n = x + 734/7. Factor -8/7 - n*s + 2/7*s**2.
2*(s - 4)*(s + 1)/7
Let c(d) = -64*d**3 - 279*d**2 + 276*d + 504. Let f(u) = -10*u**3 - 46*u**2 + 46*u + 84. Let b(s) = -2*c(s) + 13*f(s). Determine w, given that b(w) = 0.
-21, -1, 2
Suppose -9*h + 747 = 567. Let b be -4 + h + (-27 - -16). Find w, given that -5/3 - 25/3*w - 50/3*w**3 - 25/3*w**4 - 50/3*w**2 - 5/3*w**b = 0.
-1
Let g(t) = -235*t**2 - 2685*t - 2520. Let j(b) = -20*b**2 - 224*b - 210. Let d(y) = 3*g(y) - 35*j(y). Let d(s) = 0. Calculate s.
-42, -1
Let h be (-15)/((-180)/24) - 6/(-3). Let i be (-272)/(-168) - h/12. Find w, given that -3/7*w**2 - 12/7*w - i = 0.
-3, -1
Let -4/5*v**4 - 52/5*v**2 - 6*v**3 + 4 - 6/5*v = 0. Calculate v.
-5, -2, -1, 1/2
Suppose 28*y - 3*y**2 -