. Let v(d) = -14*d**3 - 358*d**2 + 364*d. Let c(t) = -v(t) - 12*w(t). Determine z so that c(z) = 0.
-4, 0, 47
Factor 50*w**2 + 17*w**3 + 26 - 60*w**3 + 49*w**3 + 13 + 1 - 96*w.
2*(w - 1)*(w + 10)*(3*w - 2)
Determine k so that -8522/3*k**2 - 105*k**3 - 1596*k + 49/3*k**4 - 680/3 = 0.
-10, -2/7, 17
Let v(z) be the first derivative of 84/5*z - 3/25*z**5 + 178 + 6/5*z**2 - 21/5*z**3 - 3/2*z**4. Suppose v(f) = 0. Calculate f.
-7, -2, 1
Let t(a) be the second derivative of -a**6/600 + a**5/150 - a**4/120 - 32*a**2 - 79*a. Let k(m) be the first derivative of t(m). Factor k(d).
-d*(d - 1)**2/5
Factor -458/5*w**3 + 88*w**2 + 24/5*w + 0 + 116/5*w**4.
2*w*(w - 2)**2*(58*w + 3)/5
Suppose 7*f + 34 - 41 = 0. Let w be f/(2/60*10). Suppose -1225/2*r**w + 170*r + 20 - 1715*r**4 + 315*r**2 = 0. Calculate r.
-2/7, 1/2
Suppose -19585 = -17*q + 5150. Let f = 1455 - q. Factor -1/5*i**5 + 4/5*i**4 + f*i**3 - 14/5*i**2 + 17/5*i - 6/5.
-(i - 3)*(i - 1)**3*(i + 2)/5
Find x such that -1/2*x**3 - 220*x**2 - 47961 - 48837/2*x = 0.
-219, -2
Suppose -6*z + 7*z = 2. Factor -650*t**2 + 1 - 79*t**z - 5 - 872*t + 980*t.
-(27*t - 2)**2
Find a, given that -92*a - 1148*a - 256*a - 1000 + 4*a**2 - 498*a**2 + 2*a**3 + 0*a**3 = 0.
-2, -1, 250
Suppose -47 - 55 = -6*i. Factor -153*z - 55*z**2 + i*z**2 + 41*z**2.
3*z*(z - 51)
Let c be ((-896)/3458 - 2/(-13)) + (-39831)/(-969) + -38. Factor 0 - 2/9*a**4 - 4/9*a**2 + 2/3*a**c + 0*a.
-2*a**2*(a - 2)*(a - 1)/9
Suppose -327239*x**2 - 651249/2 - 1/2*x**4 - 808*x**3 - 652056*x = 0. What is x?
-807, -1
Let v(k) = -9*k**3 - 4*k**2 + 15*k + 2. Let t(i) = -49*i**3 - 15*i**2 + 75*i + 11. Let w(q) = -4*t(q) + 22*v(q). Factor w(m).
-2*m*(m - 1)*(m + 15)
Solve 0 - 54/5*b**2 + 9/5*b**4 - 21/5*b**3 - 24/5*b = 0.
-1, -2/3, 0, 4
Let w(h) be the second derivative of h**8/36960 - h**7/693 - 7*h**6/1320 - 35*h**4/4 + 2*h - 51. Let l(b) be the third derivative of w(b). Factor l(z).
2*z*(z - 21)*(z + 1)/11
Let f(c) = 25*c**3 + 77*c**2 - 15. Let z be f(-3). Find p such that 1/2 - 1/4*p**5 - p**4 + 1/2*p**2 + 5/4*p - p**z = 0.
-2, -1, 1
Let l = 197423/186 + -2123/2. Let q = l - -1000/93. Suppose 128/3 + q*y + 2/3*y**2 = 0. Calculate y.
-8
Factor 2/5*y**4 + 12/5*y**3 + 0*y**2 + 0*y + 0.
2*y**3*(y + 6)/5
Let v be 1/2 - (-27)/6. Let j = 286903 + -860705/3. Determine d so that 0*d + 2/3*d**v + 0 - j*d**3 + 2/3*d**4 + 0*d**2 = 0.
-2, 0, 1
Let b(j) be the second derivative of -j**4/18 - 14*j**3/9 + 3*j + 857. Factor b(n).
-2*n*(n + 14)/3
Let f(a) = -a**2 + 19*a - 14. Let k be f(19). Let q be 4/k + 121/154. Factor -1/2*j**2 - 1/2*j**3 + q*j + 1/2.
-(j - 1)*(j + 1)**2/2
Let g(v) = 6*v**2 - 4044*v + 1362822. Let y(c) = -7*c**2 + 4044*c - 1362820. Let n(k) = -4*g(k) - 3*y(k). Factor n(p).
-3*(p - 674)**2
Let b = 40064/9 - 39926/9. Factor b*w - 26/3*w**2 + 2/3*w**3 - 22/3.
2*(w - 11)*(w - 1)**2/3
Factor 596/7 - 1486/7*v - 10/7*v**2.
-2*(v + 149)*(5*v - 2)/7
Let c(j) = -8*j**2 - 309*j - 1248. Let r be c(-34). Solve -4*i**2 + 0 + 1/2*i**3 - r*i = 0.
-2, 0, 10
Let i(z) be the second derivative of z**5/5 + 23*z**4/3 - 338*z**3/3 + 290*z**2 + 1520*z. Factor i(x).
4*(x - 5)*(x - 1)*(x + 29)
Suppose 3*v + 2*m + 3*m - 58 = 0, -4 = v - 3*m. Let o = 986 - 976. Solve a + 20*a - 26*a**2 + 31*a - o*a**3 - v - 5 = 0 for a.
-4, 2/5, 1
Let l(z) be the third derivative of -22*z**2 - 1/64*z**4 + 0*z**3 + 0 + 2*z - 1/160*z**5. Solve l(o) = 0.
-1, 0
Solve 2/3*a**2 - 818/3 + 272*a = 0 for a.
-409, 1
Suppose 193*y**2 - 58*y**2 + 30*y**3 + 15*y + 2 + 1 + 12*y**4 + 3*y**5 + 3*y**4 - 105*y**2 = 0. What is y?
-1
Suppose -5*s + t - 2741 = 0, s - t + 0*t = -549. Let k = -546 - s. Solve -2/11*n**k - 4/11 + 6/11*n = 0 for n.
1, 2
Solve 14764178/5*m + 2/5*m**3 + 10868/5*m**2 + 0 = 0 for m.
-2717, 0
Let s be 10 + -2 + -13 + 9. Let c(i) be the second derivative of 79/48*i**s - 18*i - 13/6*i**3 + 3/2*i**2 + 3/40*i**6 - 3/5*i**5 + 0. Factor c(t).
(t - 3)*(t - 1)*(3*t - 2)**2/4
Let q(w) be the first derivative of w**6/75 - w**5/50 - 2*w**4/15 + 4*w**3/15 - 243*w - 235. Let h(k) be the first derivative of q(k). Factor h(a).
2*a*(a - 2)*(a - 1)*(a + 2)/5
Let o(u) be the third derivative of -74*u - u**2 + 0*u**3 + 5/4*u**4 + 1/6*u**7 + 0 + 5/6*u**6 + 19/12*u**5. Factor o(l).
5*l*(l + 1)**2*(7*l + 6)
Let i be 40/(-120) + 2/6. Suppose 0 = 3*r + 5*b - 4, i = 4*r + 65*b - 67*b - 14. Factor 1/3*c**4 - 7/9*c**r + 0*c + 2/9*c**2 + 0.
c**2*(c - 2)*(3*c - 1)/9
Let m(l) be the first derivative of 0*l**3 + 1/12*l**4 - 28 - 11/120*l**6 + 0*l - 3/20*l**5 + 6*l**2. Let u(h) be the second derivative of m(h). Factor u(v).
-v*(v + 1)*(11*v - 2)
Factor 0 + 1/4*x**3 - 565/4*x + 141*x**2.
x*(x - 1)*(x + 565)/4
Let q = 44 - 42. Let y be (q/5)/((-18)/(-90)). Find z such that y*z**3 - 23*z**3 - 203*z + 54 + 83*z**2 - 22*z + 49*z**2 = 0.
2/7, 3
Let n be (4 + 3 + 3)/2. Suppose -3*b + 6 = -2*j, -3*j = -n*b + j + 10. Factor -2*a**5 - 2*a**4 - 8*a + 11*a**3 - 5*a**3 + a**2 - 2*a**4 + 7*a**b.
-2*a*(a - 1)**2*(a + 2)**2
Let x(b) be the third derivative of 0*b**4 + 6/5*b**5 - 1/84*b**8 - 8/105*b**7 - 2 + 0*b + 1/10*b**6 + b**2 + 0*b**3. Factor x(p).
-4*p**2*(p - 2)*(p + 3)**2
Let r(l) be the second derivative of l**5/80 - 53*l**4/12 - 427*l**3/24 - 107*l**2/4 + l - 101. Suppose r(x) = 0. What is x?
-1, 214
Let j(u) = -4*u**2 - 129*u - 581. Let m(x) = 4*x**2 + 134*x + 582. Let p(w) = 6*j(w) + 5*m(w). Factor p(f).
-4*(f + 8)*(f + 18)
Let l = -37423 + 186469/5. Let c = l + 11092/85. Factor c*r**2 + 96/17 - 80/17*r - 2/17*r**3.
-2*(r - 4)**2*(r - 3)/17
Let g(o) be the first derivative of 2*o**6/3 - 4*o**5 - 30*o**4 - 200*o**3/3 - 70*o**2 - 36*o - 3183. Find t, given that g(t) = 0.
-1, 9
Let z be 2/4*(23584/72226)/((-2)/(-126)). What is o in -z - 32*o - 76/7*o**3 - 6/7*o**4 - 222/7*o**2 = 0?
-9, -2, -1, -2/3
Let k(a) be the third derivative of -2*a**7/105 - 19*a**6/100 - 16*a**5/75 + 9*a**4/4 - 12*a**3/5 + 7452*a**2. Solve k(u) = 0 for u.
-4, -3, 3/10, 1
Suppose 31*d + 12 = 27*d + 3*b, 4*b - 16 = d. Find p, given that 29/5*p**3 - 4/5*p**2 - 7/5*p**4 + 0*p + d = 0.
0, 1/7, 4
Suppose -115/3*i + 40/3*i**3 + 16/3*i**4 + 50 - 79/3*i**2 = 0. What is i?
-3, -2, 5/4
Find n such that -8/9*n**3 - 5022 - 1512*n - 132*n**2 + 2/9*n**4 = 0.
-9, 31
Suppose 54*b - 3*y + 25 = 56*b, 4*b + 6 = 2*y. Factor -b - 3/2*n + 1/2*n**2.
(n - 4)*(n + 1)/2
Let d = 1202/31 + -8321/217. Factor -d*y**3 + 24/7*y - 36/7 + 3/7*y**2.
-3*(y - 2)**2*(y + 3)/7
Suppose 358*z + 104 - 13797 = -2481*z + 502. Suppose -3/4*c**z - 1 + 1/4*c + c**4 + 6*c**2 + 13/2*c**3 = 0. Calculate c.
-1, 1/3, 4
Let v(m) be the third derivative of -81*m**2 + 0 + 19/8*m**4 - 1/10*m**5 + 0*m + 10*m**3 - 1/40*m**6. Factor v(d).
-3*(d - 4)*(d + 1)*(d + 5)
Let j be (50/(-65))/(2/(-26)) - (-1 - -9). Let -64/3*m**j - 2/3 + 46*m**4 - 21*m**5 - 23/3*m + 14/3*m**3 = 0. What is m?
-1/3, -1/7, 1, 2
Let q = -79422181/74005 + 3/14801. Let j = q + 1074. Factor 4/5*m - 12/5*m**2 - j*m**3 + 12/5.
-4*(m - 1)*(m + 1)*(m + 3)/5
Let s(w) be the second derivative of 0*w**2 - 60*w + 0 - 2/3*w**3 - 1/40*w**5 + 1/4*w**4. Factor s(l).
-l*(l - 4)*(l - 2)/2
Let o(u) be the third derivative of 2*u**7/315 + 2*u**6/15 + 22*u**5/45 - 14*u**4/3 + 98*u**3/9 + 9088*u**2. Factor o(m).
4*(m - 1)**2*(m + 7)**2/3
Let f(b) be the second derivative of -b**8/1680 + b**7/168 - b**6/90 + 17*b**3/6 - b**2/2 + 2*b - 13. Let k(u) be the second derivative of f(u). Factor k(o).
-o**2*(o - 4)*(o - 1)
Suppose 11 = 6*s - 307. Factor -s*t**2 + t**3 + 71*t + 10*t + 71*t**2.
t*(t + 9)**2
Let c = -127 - -120. Let p be -7*(10/c + 1). Factor -423*z**2 - z + 3*z + 431*z**2 + 8*z**p.
2*z*(2*z + 1)**2
Let t(j) be the third derivative of -j**8/560 + 3*j**7/280 - j**6/60 - 59*j**3/6 + 18*j**2. Let x(g) be the first derivative of t(g). Find p such that x(p) = 0.
0, 1, 2
Let u(l) = -3*l**2 - 107*l - 14. Let i be u(-31). Let n = i - 414. Factor n + 3/2*h**2 + 6*h.
3*(h + 2)**2/2
Suppose 5*u = -5*s + 190, 0*u + 4*u + 23 = s. Let y be (-48)/(-14) + (-15)/s. Determine q so that -2*q**2 - 5*q**y - 2*q**2 - 3*q**2 - 15*q - 13*q**2 = 0.
-3, -1, 0
Let y(n) be the second derivative of 3*n**6/2 + 78*n**5/5 - 41*n**4 - 136*n**3 + 192*n**2 + 495*n + 3. Let y(v) = 0. Calculate v.
-8, -4/3, 2/5, 2
Let r = 655291/5 - 130923. Factor -r - 52*z - 5*z**2.
-(5*z + 26)**2/5
Let y(w) be t