y + 18 - 3. Let t(u) = 13*u**2 + 50*u - 11. Let b(o) = -24*o**2 - 99*o + 23. Let a(l) = y*t(l) + 3*b(l). What is f in a(f) = 0?
-7, 2/7
Let b(l) = 686 + 2*l**2 - 338 + 24*l - 348. Let o(u) = 2*u**2 + 25*u. Let p(g) = -3*b(g) + 4*o(g). Factor p(z).
2*z*(z + 14)
Let x(o) be the first derivative of 39 + 1/4*o**2 - 1/12*o**3 + 0*o. Suppose x(v) = 0. Calculate v.
0, 2
Let i(z) be the first derivative of -2*z**5/15 + 7*z**4 - 114*z**3 + 1444*z**2/3 - 3692. Factor i(m).
-2*m*(m - 19)**2*(m - 4)/3
Let a be (1 - 0) + 23*(-9)/(-3). Factor -w - 3*w**3 + 67*w**2 - w**4 - a*w**2 + 0*w**4.
-w*(w + 1)**3
Let n(i) be the first derivative of i**3/18 - 37*i**2/12 - 19*i/3 + 1554. Factor n(h).
(h - 38)*(h + 1)/6
Let z be 81/(-135)*10/(-16). Let g(c) be the first derivative of 0*c + 0*c**2 + z*c**4 - 1/4*c**3 - 21 - 3/20*c**5. Suppose g(y) = 0. What is y?
0, 1
Let c(h) be the third derivative of -h**5/36 - 2695*h**4/72 + 150*h**3 + 2858*h**2. Suppose c(q) = 0. Calculate q.
-540, 1
Let h(i) be the second derivative of -i**5/40 - 7*i**4/8 - 10*i**3 - 52*i**2 - 685*i. Find r such that h(r) = 0.
-13, -4
Let f(a) be the first derivative of -4/3*a**3 + 116 - 4*a - 4*a**2. Factor f(c).
-4*(c + 1)**2
Let t(d) be the first derivative of d**5/5 + 47*d**4/4 - d**3/3 - 47*d**2/2 + 2971. Factor t(l).
l*(l - 1)*(l + 1)*(l + 47)
Let y(x) = 111*x + 23 + 9*x**2 + 18*x**3 - 174*x - 82*x**2 + 95*x. Let v(c) = c**3 - c**2 - c + 1. Let f(p) = 3*v(p) - y(p). Determine m, given that f(m) = 0.
-1/3, 1, 4
What is v in -3*v - 5*v - 56 - 1424*v**2 + 2*v + 711*v**2 + 715*v**2 = 0?
-4, 7
Let r be (-9)/(-4) + (39026/632 - 60). Let 201/5*x**r + 189*x**3 + 99*x**2 - 189/5*x**5 - 96/5*x - 36/5 = 0. What is x?
-1, -2/9, 2/7, 3
Let r(y) be the first derivative of y**5/4 - 135*y**4/16 + 1025*y**3/12 - 1665*y**2/8 + 385*y/2 + 7693. Let r(k) = 0. Calculate k.
1, 11, 14
Let v(m) be the third derivative of m**6/72 - 43*m**5/180 + m**4 + 2*m**3 + 188*m**2. Factor v(n).
(n - 6)*(n - 3)*(5*n + 2)/3
Solve 0 + 20/3*d**3 - 74/3*d**2 + 2/3*d**4 + 52/3*d = 0 for d.
-13, 0, 1, 2
Let v(f) be the third derivative of -f**6/360 + 17*f**5/30 + 103*f**4/72 - 1949*f**2 + 2*f. Solve v(y) = 0 for y.
-1, 0, 103
Let f(j) = -20*j**3 + 108*j**2 - 289*j + 68. Let s(x) = -x**3 - x**2 - 2*x - 3. Let p(k) = -3*f(k) + 57*s(k). Factor p(l).
3*(l - 125)*(l - 1)**2
Suppose -4*h - 3*c = c, 5*c + 8 = -h. Let x be h/5 - -146*(-1)/(-10). Suppose -x*o + 12*o**2 - 4*o**2 - 3*o**2 = 0. What is o?
0, 3
Let a be (-24)/(-15)*(-480)/(-126) + (-10 - -4). Let r(f) be the second derivative of 0 - 1/21*f**3 - 9*f - 1/70*f**5 - 6/7*f**2 + a*f**4. Factor r(w).
-2*(w - 3)*(w - 2)*(w + 1)/7
Let p(v) = v**3 + 14*v**2 + v - 154. Let i be p(-13). Solve 0 + 2/5*s**4 - 2/5*s**2 + 2*s**3 - i*s = 0 for s.
-5, -1, 0, 1
Let i(s) be the second derivative of 7/2*s**2 + 0 + 5/12*s**4 + 1/20*s**5 - 13/6*s**3 - 47*s. Determine g, given that i(g) = 0.
-7, 1
Let h(s) be the third derivative of -s**7/840 + s**5/40 + 9*s**4/4 - 7*s**2 - 2*s. Let n(l) be the second derivative of h(l). Factor n(r).
-3*(r - 1)*(r + 1)
Let v = -47613 - -47616. Factor 3/2*g**2 - 2 - 1/4*g**v + g - 1/4*g**4.
-(g - 2)*(g - 1)*(g + 2)**2/4
Let k(u) = -u**4 - 24*u**3 + 5*u**2 - 2*u + 8. Let s(z) = 2*z**4 + 74*z**3 - 14*z**2 + 7*z - 28. Let c(p) = -7*k(p) - 2*s(p). Let c(w) = 0. Calculate w.
-7, 0, 1/3
Suppose 85*w + 140*w**2 - 4*w**4 - 99*w + 48*w**3 - 65*w - 329*w + 224 = 0. What is w?
-4, 1, 14
Suppose -167 = -73*m - 21. Let i(x) be the first derivative of 0*x**3 - 2/5*x**5 + m*x + 4 - 2*x**2 + x**4. Solve i(o) = 0.
-1, 1
Let c(r) = 31*r**4 + 591*r**3 + 465*r**2 - 1142*r. Let o(k) = 6*k**4 + 118*k**3 + 94*k**2 - 228*k. Let t(b) = 2*c(b) - 11*o(b). Factor t(v).
-4*v*(v - 1)*(v + 2)*(v + 28)
Suppose -219 + 241 = 11*d. Determine s, given that 75*s + 12*s**3 - 91*s - 3*s**5 + 0*s**5 + d*s**4 + s**5 - 8*s**2 = 0.
-2, -1, 0, 2
Let p(q) be the first derivative of -q**4/8 + 23*q**3/6 - 45*q**2/2 + 2081. Suppose p(t) = 0. Calculate t.
0, 5, 18
Let t(x) = 9*x**4 - 76*x**3 + 143*x**2 - 72*x + 2. Let a(z) = -119*z**4 + 986*z**3 - 1858*z**2 + 937*z - 27. Let f(q) = -2*a(q) - 27*t(q). Solve f(h) = 0 for h.
0, 1, 14
Factor 0*i**3 + 0*i + 0 + 0*i**2 - 42/13*i**4 + 2/13*i**5.
2*i**4*(i - 21)/13
Let l = 209 - 149. Suppose -f = -6*f + l. Let -22*b**3 + b**2 - 5*b**2 - 2*b**4 - 6*b**2 - 6*b - f*b**2 + 4*b**5 = 0. What is b?
-1, -1/2, 0, 3
Let r(z) = -28*z**3 - 143*z**2 - 2828*z + 6387. Let g(a) = -13*a**3 - 72*a**2 - 1416*a + 3194. Let t(k) = -13*g(k) + 6*r(k). Factor t(i).
(i - 2)*(i + 40)**2
Let x(a) be the third derivative of a**6/72 - a**5/12 + 5*a**4/24 + 33*a**3 - 13*a**2. Let j(d) be the first derivative of x(d). Suppose j(n) = 0. Calculate n.
1
Let n(j) be the first derivative of 49*j**6/51 + 84616*j**5/85 + 6084290*j**4/17 + 775694592*j**3/17 - 667865088*j**2/17 + 191102976*j/17 + 1104. Factor n(x).
2*(x + 288)**3*(7*x - 2)**2/17
Let v be ((-2 - -1)*(9 - 3))/(-2). Let t(c) = -c**3 + 3*c**2 + 8*c + 2. Let a be t(v). Determine f so that a*f**4 + 27*f**4 - 54*f**4 + 16 + 4*f**3 - 16*f = 0.
-2, 2
Factor -10/3*p + 4/9*p**2 + 0 + 2/9*p**3.
2*p*(p - 3)*(p + 5)/9
Let n(f) be the first derivative of -2*f**3/5 - 183*f**2 + 1836*f/5 + 3597. Suppose n(j) = 0. What is j?
-306, 1
Let s(g) be the third derivative of -g**6/480 + 4*g**5/15 - 32*g**4/3 + 695*g**2. Determine x, given that s(x) = 0.
0, 32
Let m(v) be the third derivative of v**6/210 - 52*v**5/105 + 184*v**4/21 - 1408*v**3/21 + 3*v**2 + 66*v - 6. Suppose m(l) = 0. What is l?
4, 44
Determine l, given that -55*l**3 - 18*l - 8*l + 3584 - 3559 + 135*l**2 - 79*l = 0.
5/11, 1
Let j = -741 + 739. Let i be 9 + (7 + j - 11). Factor 0 + 1/6*r**4 - 1/6*r**5 + 11/6*r**2 + 3/2*r**i + 2/3*r.
-r*(r - 4)*(r + 1)**3/6
Determine o so that -102 + 6*o**2 + 4*o + 60 + 23 + 19 + 2*o**3 = 0.
-2, -1, 0
Let j(p) = -41. Let r(n) = 7. Let u(y) = j(y) + 6*r(y). Let i(b) = -3*b**2 - 3*b + 3. Let k(v) = i(v) + 3*u(v). Factor k(c).
-3*(c - 1)*(c + 2)
Let l(j) = -j**2 + 6*j - 1. Let r(y) = -5*y**2 - 70*y + 181. Let a(q) = 3*l(q) - r(q). Factor a(b).
2*(b - 2)*(b + 46)
Let 3*j**2 + 60 - 7*j**2 - 19 + j**2 + 87*j + 49 = 0. What is j?
-1, 30
Let m = 103 - 97. Suppose m - 17*t - 29*t**3 - 12 - 9*t**4 + 43*t**2 + 18*t**3 = 0. What is t?
-3, -2/9, 1
Let f be 2/(-3) + 1288/3381 - 2/(-7). Suppose -2*s = s - 6. Factor -1/7*l**3 + 0*l + 4/7*l**s + f.
-l**2*(l - 4)/7
Let z(p) be the second derivative of p**5/16 + 595*p**4/4 + 141610*p**3 + 67406360*p**2 - 5*p + 245. Solve z(o) = 0.
-476
Let z(t) be the third derivative of 0 - 40*t**2 + 35/24*t**4 - 13/12*t**5 - 4*t + 5*t**3. Determine f so that z(f) = 0.
-6/13, 1
Let n(q) be the first derivative of 5*q**3/3 + 820*q**2 + 134480*q + 24. Factor n(g).
5*(g + 164)**2
Let p(f) = 321*f**2 + 180*f - 483. Let u(j) = -61*j**2 - 36*j + 97. Let b(z) = -4*p(z) - 21*u(z). Factor b(n).
-3*(n - 7)*(n - 5)
Factor 2 - 1/3*v - 1/3*v**2.
-(v - 2)*(v + 3)/3
Determine q, given that -2/7*q**3 - 25990/7*q - 458/7*q**2 + 26450/7 = 0.
-115, 1
Let d(j) = -8*j**3 + 7*j**2 - 40*j + 41. Let w(o) = 12*o**2 + 35 + 128 - 35*o**3 + 16*o**2 - 22*o - 55*o - 83*o. Let q(c) = -26*d(c) + 6*w(c). Factor q(b).
-2*(b - 2)**2*(b + 11)
Suppose 128 = -219*g + 1223. Let m(a) be the second derivative of -1/2*a**2 - 7*a + 1/12*a**4 + 0 + 1/20*a**g - 1/6*a**3. Let m(q) = 0. What is q?
-1, 1
Let q(y) = -y**3 + 18*y**2 - 17*y. Let d(h) = 3*h**3 - 72*h**2 + 69*h. Let o(v) = 2*v + 26. Let c be o(-12). Let u(k) = c*d(k) + 9*q(k). Factor u(j).
-3*j*(j - 5)*(j - 1)
Let n(f) be the third derivative of 23*f**5/120 - 41*f**4/16 - 15*f**3/2 - 272*f**2 + 1. Determine o so that n(o) = 0.
-15/23, 6
Let i(p) = p**3 - 4*p**2 + p - 2. Let d = -67 + 71. Let j be i(d). Suppose -6*g**3 + 4*g + 0*g**5 + j*g**4 - 4*g**2 + g**5 + 2*g**2 + g**5 = 0. What is g?
-2, -1, 0, 1
Suppose 11*l - 270 = 10*l. Let n(m) be the first derivative of -2*m**3 + 2*m**3 - l*m + 14 + 297*m + m**3 - 9*m**2. Find q, given that n(q) = 0.
3
Let f(v) = -4*v**2 + 11*v + 1. Let k be f(3). Let y be (-30)/15 + (k - -4). Factor 4/7*b - 24/7*b**3 + y + 6/7*b**2 + 2*b**4.
2*b*(b - 1)**2*(7*b + 2)/7
Let d = -8643 + 25577/3. Let n = 410/3 + d. Let -10*j**4 + 14*j**2 - n*j + 4 + 82/3*j**3 = 0. Calculate j.
-1, 1/3, 2/5, 3
Let y(t) = -t**2 + 23*t - 3