 + 0*m - 2/3*m**5 + 0*m**4 - 43*m**2. Determine f, given that r(f) = 0.
-2, 0, 2
Suppose 9 = 4*c - 3*t, -12 + 15 = 2*c - 3*t. Factor -33*a**2 + 29*a**2 - 3*a + 0*a**3 + 0*a**3 - a**c.
-a*(a + 1)*(a + 3)
Let p(l) be the second derivative of 3*l**5/100 - 26*l**4/5 + 328*l - 5. Factor p(b).
3*b**2*(b - 104)/5
Let v(b) be the first derivative of -10/3*b**3 + b**5 + 5*b + 91 + 0*b**2 + 0*b**4. Factor v(k).
5*(k - 1)**2*(k + 1)**2
Let a(d) be the third derivative of d + 1/2*d**5 - 5*d**3 + 0 - 21/8*d**4 - 40*d**2. Find t, given that a(t) = 0.
-2/5, 5/2
Factor -18219*c + c**2 - 42 + 18204*c + 56.
(c - 14)*(c - 1)
Let b(g) be the second derivative of 2*g**7/63 - 2*g**6/15 - 5*g**5/3 + 15*g**4 - 48*g**3 + 72*g**2 + 9*g + 15. Find t, given that b(t) = 0.
-6, 1, 2, 3
What is s in -41 + 52 + 16*s**2 - 4*s**3 + 14*s**2 - 39 + 4*s - 2*s**2 = 0?
-1, 1, 7
Let k(a) be the third derivative of a**8/60480 + a**7/630 - 9*a**5/20 - 150*a**2 + a. Let y(l) be the third derivative of k(l). Factor y(x).
x*(x + 24)/3
Factor -116*m + 22*m**2 - 11*m**2 + 142*m - 13*m**2 - 72.
-2*(m - 9)*(m - 4)
Let i = -2457 - -2459. Let f(d) be the third derivative of 10*d**i - 1/15*d**5 + 0*d + 0 + 0*d**4 + 2/3*d**3. What is a in f(a) = 0?
-1, 1
Let f(w) = 4*w**4 - 22*w**3 + 97*w**2 - 99*w. Let i(x) = x**4 + 2*x**3 - x**2 - x. Let g(q) = f(q) - 3*i(q). Let g(n) = 0. Calculate n.
0, 2, 24
What is i in 0 - 1/7*i**2 + 1/7*i**4 - 1/7*i**5 + i**3 - 6/7*i = 0?
-2, -1, 0, 1, 3
Suppose 5 = -11*q + 38. Determine n so that q*n**4 + 208*n**2 + n**3 - 214*n**2 - 4*n**3 = 0.
-1, 0, 2
Let g(h) be the third derivative of -1/24*h**6 - 2/3*h**5 + 133*h**2 - 25/24*h**4 + 125/3*h**3 + 0 + 0*h. Factor g(q).
-5*(q - 2)*(q + 5)**2
Find w, given that 271/3*w + 45 + 137/3*w**2 + 1/3*w**3 = 0.
-135, -1
Let a(d) = 10*d + 62. Let l be a(-6). Solve 7*g**2 + 3*g**l + 57*g**3 - 160*g**4 - 85*g**5 - 122*g**3 = 0.
-1, 0, 2/17
Factor 35/11*y - 1/11*y**2 + 294/11.
-(y - 42)*(y + 7)/11
Let -2/15*w**3 + 14/15*w**2 - 8/5*w + 0 = 0. Calculate w.
0, 3, 4
Let k(g) = -g**2 - 24*g - 61. Let q be k(-21). Let v be q/10 - 27/(-135). Suppose v*s**2 + 32/5*s + 128/5 = 0. What is s?
-8
Let b = -292 + 392. Suppose -b = -19*m - m. Factor -1/2*x**2 + 1/2*x**4 + 0 + 1/4*x**m + 0*x - 1/4*x**3.
x**2*(x - 1)*(x + 1)*(x + 2)/4
Let i(c) be the second derivative of -1 + 5*c + 20*c**2 - 25/3*c**3 - 5/4*c**4. Determine a so that i(a) = 0.
-4, 2/3
Let s = -406 + 406. Suppose d - 4*d = 12, s = -3*i - d - 4. Solve -1/2*m**2 + 1/6*m**3 + 1/3*m + i = 0.
0, 1, 2
Let t(d) be the third derivative of -d**6/120 + 7*d**5/30 - 41*d**4/24 - 28*d**3/3 + 678*d**2. What is g in t(g) = 0?
-1, 7, 8
Let w(b) be the second derivative of -39*b - 40/3*b**2 - 64/9*b**3 + 0 - 1/3*b**4. Factor w(f).
-4*(f + 10)*(3*f + 2)/3
Suppose 24/5*q**4 + 136/15*q**3 + 0 + 0*q + 2/15*q**5 + 0*q**2 = 0. Calculate q.
-34, -2, 0
Let q(f) be the first derivative of 4*f**6/33 + 42*f**5/55 - 31*f**4/22 - 222*f**3/11 - 513*f**2/11 - 216*f/11 + 481. Determine i so that q(i) = 0.
-3, -1/4, 4
Let i be (-14 - 0) + (-2622)/(-184) - (-21)/(-196). Factor i*v + 1/7*v**2 + 0.
v*(v + 1)/7
Factor -132/5*o**2 + 0 - 9/5*o**3 + 9*o.
-3*o*(o + 15)*(3*o - 1)/5
Solve 3/4*t**2 - 489/2 - 483/4*t = 0 for t.
-2, 163
Let p(a) be the third derivative of -46*a**2 + 1/180*a**5 - a + 8*a**3 + 1/3*a**4 + 0. Solve p(o) = 0.
-12
Let k(h) be the first derivative of h**3/24 + 47*h**2/16 + 275*h/4 + 3019. Suppose k(v) = 0. Calculate v.
-25, -22
Solve 10/17 + 36/17*n**2 + 2/17*n**4 + 32/17*n + 16/17*n**3 = 0 for n.
-5, -1
Let j(s) = -4*s**3 + s**2 - 2*s. Let w(f) = 26*f**3 - 1000*f**2 + 1994*f - 990. Let m(i) = -6*j(i) - w(i). Find d, given that m(d) = 0.
1, 495
Let g = 4545 + -13634/3. Let i(d) be the second derivative of g*d**4 + 0 - 4/3*d**3 - 12*d + 0*d**2. Factor i(m).
4*m*(m - 2)
Let j(d) = 65*d + 67*d**2 + d + 32 + 35*d. Let z be (2*(-2)/4)/((-3)/15). Let h(r) = -34*r**2 - 50*r - 16. Let o(y) = z*h(y) + 2*j(y). Factor o(x).
-4*(3*x + 2)**2
What is w in -70 - 426*w - 178 - 2*w**2 + 1360 - 126*w = 0?
-278, 2
Let i be ((-624)/15)/(-8) - 3/15. Find d, given that 5*d**i - 17103*d**2 + 18*d**3 - 45*d + 17073*d**2 + 30*d**4 + 22*d**3 = 0.
-3, -1, 0, 1
Let t be 2/30*2 - 146/(-30). Suppose -4*o + 17 = 3*p - 0*p, 0 = p + o - t. Let -12*b - 17*b**3 + p*b**2 - 12 + 20*b**3 + 0*b**2 = 0. What is b?
-2, -1, 2
Let j be 10/(-35) + 360/(-14). Let v = 29 + j. Determine d, given that 34 + 4*d**2 - 52 + v*d**3 - 3*d**3 + 3*d - d**3 = 0.
-2, 3
Let s(b) be the third derivative of 234*b**2 + 0*b**3 - 1/20*b**6 + 0 + 0*b - 13/120*b**5 - 1/140*b**7 - 3/32*b**4 + 1/1344*b**8. What is d in s(d) = 0?
-1, 0, 9
Let n be (1 - 350/395)*(-39)/(-9). Let p = n + 1/158. Factor 1/4*v**2 - p*v + 1/4.
(v - 1)**2/4
Let d be (12/3)/4 - -12. Suppose d*t = 2*t + 33. Let 3*r**2 - 51*r - t*r**2 - 4*r**2 - r = 0. Calculate r.
-13, 0
Let w(d) be the third derivative of -d**8/1176 - 23*d**7/735 + 22*d**6/35 - 376*d**5/105 + 128*d**4/21 + 375*d**2. Find t such that w(t) = 0.
-32, 0, 1, 4
Let o(z) be the third derivative of -166375*z**8/3528 + 136730*z**7/441 - 407*z**6/7 + 1324*z**5/315 - 8*z**4/63 - 2774*z**2. Solve o(g) = 0.
0, 2/55, 4
Let l be ((-160)/220)/(-4)*(-2 + 13). Let a(p) be the first derivative of 2*p**l - 7/6*p**3 + 8*p - 44 + 1/8*p**4. Find r, given that a(r) = 0.
-1, 4
Determine j so that -6*j**3 + 3*j**3 - 2409*j**2 + 5*j**3 - 75 - j**3 + 103*j + 2380*j**2 = 0.
1, 3, 25
Let z(v) be the first derivative of 2*v**3/3 - 138*v**2 - 1181. Factor z(f).
2*f*(f - 138)
Solve -325*j**3 - 323*j**3 + 31*j + 647*j**3 + 11*j**2 + 11*j = 0.
-3, 0, 14
Let x = -702533/3 + 234215. Suppose 56/3*h**2 + 20/3*h**5 - 32/3*h**4 - 76/3*h**3 + x*h + 32/3 = 0. Calculate h.
-1, -2/5, 2
Suppose -15 = -4*s - 3. Factor -1296*j**2 - 76*j**4 + 864*j + 780*j**5 - 384*j**5 + 504*j**s - 392*j**5.
4*j*(j - 6)**3*(j - 1)
Find f such that 16*f - 274*f**3 + 8*f**5 + 4*f**4 + 520*f**3 + 0*f**4 - 16*f**2 - 282*f**3 + 0*f**4 = 0.
-2, -1, 0, 1/2, 2
Let w be (-56727)/(-81) - (1*-2 - -1). Let z = w - 700. What is v in 1/3*v**2 + z - 5/3*v = 0?
1, 4
Let y(d) be the first derivative of -3*d**5/25 - 37*d**4/20 - 22*d**3/15 + 74*d**2/5 + 136*d/5 - 4199. What is r in y(r) = 0?
-34/3, -2, -1, 2
Let a(o) be the second derivative of -o**7/105 - 79*o**6/150 - 451*o**5/50 - 779*o**4/20 - 18*o**3 + 486*o**2/5 + 8592*o - 1. Let a(l) = 0. What is l?
-18, -3, -1, 1/2
Let x be (6/(-50))/((-14712)/3065). Let w(q) be the third derivative of 0*q + 0*q**3 - 1/4*q**4 + 0 + x*q**5 - q**2. Factor w(y).
3*y*(y - 4)/2
Let c(n) = 3*n + 43. Let b be c(-13). Let y = -5/48344 + 396034093/435096. Factor 256/3*j**2 - 64/9*j**3 - 4096/9*j + 2/9*j**b + y.
2*(j - 8)**4/9
Let t(u) be the third derivative of 4*u + 1/720*u**6 + 0*u**4 - 1/360*u**5 + 0 - 5*u**2 + 0*u**3. Factor t(l).
l**2*(l - 1)/6
Let r(n) be the second derivative of -n**7/12600 + n**6/900 - n**5/150 + n**4/4 + 3*n**2/2 + 36*n + 3. Let v(b) be the third derivative of r(b). Factor v(p).
-(p - 2)**2/5
Factor 1/4*g**2 + 0*g - 5/4*g**3 + 0.
-g**2*(5*g - 1)/4
Let b = 3/10 - -31/30. Let c = -844/129 - -1016/129. Factor c*r - b*r**3 - 4/3 + 4/3*r**2.
-4*(r - 1)**2*(r + 1)/3
Let o be 30/(-16)*1219/106. Let i = o - -3987/176. Factor 0*x**4 - 16/11*x**2 - 2/11*x**5 + i*x**3 + 6/11*x + 0.
-2*x*(x - 1)**3*(x + 3)/11
What is k in 4180/9*k - 4/9*k**2 - 464 = 0?
1, 1044
Let b(r) = -8*r**4 - 1484*r**3 - 984*r**2 + 564*r + 24. Let h(x) = x**4 - x**3 - 4*x**2 + x + 1. Let o(y) = -b(y) + 24*h(y). Suppose o(v) = 0. Calculate v.
-45, -1, 0, 3/8
Let p(x) be the first derivative of 2/27*x**3 - 5/3*x**2 + 93 - 32/9*x. Factor p(c).
2*(c - 16)*(c + 1)/9
Let r be 12/(-21) + (-25)/(-70)*10. Let i(q) be the second derivative of 19*q + 1/18*q**4 + q**2 + 4/9*q**r + 0. Factor i(c).
2*(c + 1)*(c + 3)/3
Factor -1293/8*r - 1299/4 + 3/8*r**2.
3*(r - 433)*(r + 2)/8
Let s = 272 - 268. Let n(p) = p**3 - p**2 - p - 1. Let j(z) = -6*z**3 + 8*z**2 + 14*z - 8. Let x(g) = s*n(g) + j(g). Determine u, given that x(u) = 0.
-2, 1, 3
Let p(f) be the third derivative of f**7/735 - 29*f**6/210 + 54*f**5/35 - 158*f**4/21 + 416*f**3/21 + 2187*f**2. Factor p(l).
2*(l - 52)*(l - 2)**3/7
Let n be 16/208 - 101/(-39). Let h be 2*(-2 + 4) + -1. Suppose 8/3*i - 14/3*i**2 - 2*i**4 + n - 20/3*i**h = 0. What is i?
-2