p).
2*(p + 74)**2/5
Factor 36504 + 3/8*o**2 - 234*o.
3*(o - 312)**2/8
Let k(q) be the third derivative of q**6/180 - 49*q**5/90 + 95*q**4/36 - 47*q**3/9 - 3104*q**2. Find m, given that k(m) = 0.
1, 47
Suppose 36*b - 6629 = 119*b - 7210. Suppose 1/2*c**2 - 9/2*c + b = 0. What is c?
2, 7
Let m(z) = -2*z**3 - 24*z**2 - 58*z + 86. Let s be m(-7). Factor 96/5 - 292/5*i + 12/5*i**s.
4*(i - 24)*(3*i - 1)/5
Let a(l) = -2*l**2 - 2*l. Let d(m) = 14*m**2 - 25*m + 27. Let j(t) = -2*t**2 + 3*t - 1. Let s(z) = 4*d(z) + 20*j(z). Let v(y) = -6*a(y) - s(y). Factor v(c).
-4*(c - 11)*(c - 2)
Suppose 79 - 67 = 3*q + 3*q. Let s(h) be the first derivative of -14 + 25/3*h**3 - 10*h**q + 0*h - 5/4*h**4. Factor s(v).
-5*v*(v - 4)*(v - 1)
Suppose 5*u - 85 = o, 4*o - 2*o + 74 = 4*u. What is q in -q - 13*q**3 + u*q**3 - 14*q + 12*q**3 - 5*q**4 + 5*q**2 = 0?
-1, 0, 1, 3
Let x(w) be the second derivative of -72*w**2 - 1/5*w**5 + 0 + 10*w**3 + 2/3*w**4 + 154*w. Let x(o) = 0. Calculate o.
-4, 3
Let u(z) = 14 - 1434*z**2 + 43 - 69*z**3 + 1278*z**2 - 39*z. Let x(k) = 17*k**3 + 39*k**2 + 10*k - 14. Let j(w) = 2*u(w) + 9*x(w). What is r in j(r) = 0?
-2, -1, 2/5
Suppose 16 = -4*q, 35*g + 336 = 33*g - 4*q. Let n be 4 - (3/2 - (-368)/g). Suppose n - 28/5*d**3 + 4*d**4 - 92/5*d**2 - 4*d = 0. Calculate d.
-1, 2/5, 3
Let v be (-7)/(28/20)*6/(-15). Suppose -5/2*j**v + 5*j + 0 = 0. What is j?
0, 2
Suppose -3*u - 6 = -u, 0 = f - 5*u - 17. Solve -12*d**f + 48 - 19*d**2 + 16*d + 5*d**3 + 3*d**2 - d**3 = 0 for d.
-1, 2, 6
Let u(d) be the third derivative of d**7/210 + 13*d**6/120 + 7*d**5/12 - 49*d**4/24 + 270*d**2 + 2*d. Find a, given that u(a) = 0.
-7, 0, 1
Let u(y) be the first derivative of y**6/11 + 1091*y**5/55 + 65699*y**4/44 + 428037*y**3/11 - 1566541*y**2/22 + 453962*y/11 + 9235. What is g in u(g) = 0?
-61, 1/2, 2/3
Factor -7196921*s - 4093*s**2 - 109*s**3 + 25678*s**2 + 14898837595 - 27647940*s + 104*s**3 + 3784046*s.
-5*(s - 1439)**3
Let n be (-9)/(-3) - (0 - (-2 + -3)). Let s be ((-180)/39 + 4)/n. Let -s + 2/13*x**2 - 2/13*x = 0. Calculate x.
-1, 2
Let i(g) = -31*g + 97. Let y be i(3). Suppose -331*d**4 + 375 + 165*d**4 - 6*d**2 - y*d**2 - 40*d**3 + 161*d**4 + 400*d = 0. What is d?
-5, -1, 3
Determine m, given that -38*m - 25*m**2 - 11*m**4 + 1/2*m**5 + 36 + 75/2*m**3 = 0.
-1, 1, 2, 18
Suppose 13*q + 44*q - 45315 = 0. Let w = q + -793. Suppose -1/7*m**3 - 11/7*m + 6/7*m**w + 6/7 = 0. What is m?
1, 2, 3
Let z(q) be the second derivative of 1/80*q**5 - 17*q + 17/8*q**3 + 25/8*q**2 + 9/16*q**4 - 1. Factor z(g).
(g + 1)**2*(g + 25)/4
Let w(u) = u**2 + 23*u - 78. Suppose 146 + 478 = -24*z. Let y be w(z). Factor -2/3*k**2 + 2/3 + y*k.
-2*(k - 1)*(k + 1)/3
Let x be 3859/189091 - (-190)/294. Determine q, given that 0 - 4/3*q**2 + 2/3*q + x*q**3 = 0.
0, 1
Suppose 21 - 61 = -20*n. Let w = 31/18 - 1/126. Let w - 4/7*z**n + 22/7*z = 0. What is z?
-1/2, 6
Let 255548 + 107404 + 2*j**2 - 1785*j + 81*j = 0. Calculate j.
426
Let i(t) be the second derivative of 14*t**3 - t - 36*t**2 + 1/5*t**5 + 125 - 8/3*t**4. Factor i(q).
4*(q - 3)**2*(q - 2)
Let q(y) be the second derivative of -y**4 + 0 + 3/80*y**5 - 1/8*y**3 - 92*y + 6*y**2. What is x in q(x) = 0?
-1, 1, 16
Let g = -128566 + 899964/7. Find p such that 2/7*p**2 - 4/7*p + g*p**3 + 0 = 0.
-2, 0, 1
Let k(x) be the third derivative of x**9/12096 - x**8/4032 - x**7/504 - x**5/10 + 5*x**3/3 - 136*x**2. Let w(q) be the third derivative of k(q). Factor w(u).
5*u*(u - 2)*(u + 1)
Let n(p) be the third derivative of -3/16*p**4 - 1/320*p**6 + 3/80*p**5 + 75*p**2 + 1/2*p**3 + 0 - 2*p. Factor n(t).
-3*(t - 2)**3/8
Let h(n) be the first derivative of n**3/6 + 15*n**2/4 - 63*n - 1555. Factor h(p).
(p - 6)*(p + 21)/2
Factor -1/6*s**3 - 3/2*s**2 + 0 - 3*s.
-s*(s + 3)*(s + 6)/6
Let y(m) = 21*m**2 - 375 + 2*m**3 + 1153 - 367 + 44*m - 386. Let g(z) = 2*z**3 + 20*z**2 + 42*z + 24. Let d(q) = 5*g(q) - 4*y(q). Solve d(o) = 0 for o.
-5, -2, -1
Solve -600 + 45*g**3 + 1814*g**2 + 574*g**2 - 6979*g + 1511*g + 277*g**2 + 3358*g = 0 for g.
-60, -2/9, 1
Let d(z) be the third derivative of -z**6/360 + z**5/24 - z**4/6 - 41*z**3/6 - z**2 - 39. Let n(h) be the first derivative of d(h). Solve n(x) = 0 for x.
1, 4
Let f(o) = -6*o**4 - 6*o**3 + 78*o**2 + 393*o + 27. Let n(y) = -3*y**4 - 2*y**3 + 38*y**2 + 197*y + 15. Let a(z) = -5*f(z) + 9*n(z). Factor a(w).
3*w*(w - 4)*(w + 4)**2
Let f(q) = -35*q - 383. Let n be f(-11). Let b(d) be the third derivative of 0 + 0*d**4 - 9*d**n + 0*d - 1/180*d**5 + 0*d**3. Determine v so that b(v) = 0.
0
Find j, given that -3*j**2 + 15*j - 8 - 18 + 8 = 0.
2, 3
Let f(g) = -3*g**2 + 249*g - 1209. Let u(c) = -72*c - 11*c + 304 + 21*c + c**2 - 2. Let b(j) = 2*f(j) + 9*u(j). Find n such that b(n) = 0.
10
Let b be (-16)/(-42)*(18 - 330/20). Let q(i) be the first derivative of -8/7*i + 1/14*i**4 + 9 + 2/21*i**3 - b*i**2. Factor q(k).
2*(k - 2)*(k + 1)*(k + 2)/7
Let f(h) be the third derivative of h**7/2100 + 77*h**6/600 + 79*h**5/8 - 77*h**4/30 - 5929*h**3/15 + 49*h**2 - 14*h. Factor f(z).
(z - 2)*(z + 2)*(z + 77)**2/10
Let v(x) be the second derivative of -x**7/168 + x**6/20 + 41*x**5/80 - x**4/8 - 5*x**3/3 - 1669*x. Find t, given that v(t) = 0.
-4, -1, 0, 1, 10
Let k = -2100708/7 - -300108. Factor 52/7 - 4/7*j**2 + k*j.
-4*(j - 13)*(j + 1)/7
Let b(d) = -d**3 + 23*d**2 + 24*d + 17. Let p be b(24). Solve p*c - 6*c**4 + c**4 - 57*c + 5*c**2 + 40*c**3 = 0 for c.
-1, 0, 1, 8
Let s(n) = -10*n**3 + 617*n**2 - 23715*n - 24363. Let z(c) = 68*c**3 - 4320*c**2 + 166004*c + 170532. Let q(g) = 20*s(g) + 3*z(g). Factor q(k).
4*(k - 78)**2*(k + 1)
Let d be (-2)/(-9) - 634/18. Let q = 9 - d. Factor -40*a + q*a + 2*a**3 - 3*a**3.
-a*(a - 2)*(a + 2)
Find v, given that -560*v + 4/3*v**4 + 72*v**3 - 1468/3*v**2 + 0 = 0.
-60, -1, 0, 7
Let y = -165873 - -165877. Determine k, given that 7/3*k**5 - 8/3*k + 1/3*k**3 + 4/3 + 19/3*k**y - 23/3*k**2 = 0.
-2, -1, 2/7, 1
Find v, given that 2761*v + 6*v**2 - 2*v**4 - 254*v**3 + 469*v - 2156 - 824*v**3 = 0.
-539, -2, 1
Suppose 0 = -28*m + 4743 - 4547. Let b(o) be the first derivative of -m + 0*o + 25/4*o**4 + 35/3*o**3 - 4*o**5 - 5*o**2. Factor b(u).
-5*u*(u - 2)*(u + 1)*(4*u - 1)
Let k(r) be the third derivative of 1/4*r**3 - 1/240*r**5 + 0 - 14*r**2 - 5/96*r**4 + 2*r. Let k(h) = 0. Calculate h.
-6, 1
Let z(b) be the first derivative of b**6/9 + 16*b**5/15 - 35*b**4/6 - 308*b**3/9 - 20*b**2/3 + 400*b/3 + 413. Suppose z(v) = 0. Calculate v.
-10, -2, 1, 5
Let d(o) = o. Let v(h) = -7*h**3 + 4650*h**2 - 772894*h + 220448. Let n(p) = -10*d(p) + 5*v(p). Suppose n(r) = 0. What is r?
2/7, 332
Let p(b) be the third derivative of -2/5*b**5 - 3*b**2 - 1/30*b**6 + 7/6*b**4 + 0*b**3 + 0 + 16*b. Suppose p(o) = 0. Calculate o.
-7, 0, 1
Let g(x) = -2*x**4 - 3*x**3 + 5*x**2 + 3. Let z(b) = b**3 - b**2 - 1. Let l = 16 + -19. Let k = l + 6. Let s(m) = k*z(m) + g(m). Find j such that s(j) = 0.
-1, 0, 1
Let v(o) be the third derivative of 2*o**7/105 + 26*o**6/15 - 11*o**5 + 2*o**4/3 + 440*o**3/3 + 1729*o**2 - o. Factor v(c).
4*(c - 2)**2*(c + 1)*(c + 55)
Let z(p) be the first derivative of -200/9*p**3 + 24*p**4 - 4/3*p + 73/9*p**2 - 4 - 128/45*p**5. Factor z(m).
-2*(m - 6)*(4*m - 1)**3/9
Let d = 17725 + -53165/3. Let s(c) be the second derivative of -48*c**3 - 32*c**2 + 0 - 2*c - 121/3*c**4 - d*c**6 - 18*c**5. Suppose s(o) = 0. What is o?
-1, -4/5
Let g be (-19)/(-5) + (-26)/(-130). Factor g*j**3 + 4*j**3 - 8*j**2 + 5*j**3 + 21*j - 18 - 12*j**3.
(j - 3)**2*(j - 2)
Suppose 41*a + 71*a - 384 = 16*a. Let l(w) be the third derivative of 7/60*w**a + 13*w**2 + 1/150*w**5 + 0 + 0*w + 0*w**3. Solve l(d) = 0 for d.
-7, 0
Suppose -30794*v + 515 + 15430*v - 4883 + 4*v**2 + 15408*v = 0. What is v?
-39, 28
Let s(w) = w**2 - 8*w + 21. Let x be s(3). Let n(v) be the third derivative of 14*v**2 - 5/72*v**4 + 0 + 0*v + 1/18*v**x + 1/12*v**5 + 0*v**3. Factor n(l).
5*l*(l + 1)*(4*l - 1)/3
Let n(w) = 13*w - 186. Let d be n(22). Suppose 89*z = d*z - 22. Determine f, given that 2/5*f - 4/5 + 2/5*f**z = 0.
-2, 1
Let c = -1/74 - -535/1258. Let j = 111/187 - c. Factor 6/11*x**2 + 4/11 - 10/11*x - 2/11*x**4 + j*x**3.
-2*(x - 1)**3*(x + 2)/11
Suppose 455*v + 689 - 750 - 2214 = 0. Determine n so that -56/13*n**2 + 24/13*n**4 - 82/13*n**3 + 32/13 + 10/13*n**v + 72/13*n = 0.
-4