ven that -32*x**4 - 12*x**3 + 5776*x**2 + 29*x**4 + 228*x - 420 - 5569*x**2 = 0.
-10, -2, 1, 7
Suppose -2*r + 4*c = 53 - 51, 2*r - 2 = 2*c. Solve -16/9*g**2 + 8/9*g**4 - 4/9*g**r + 2/9*g**5 + 8/9 + 2/9*g = 0.
-4, -1, 1
Let i(c) be the first derivative of c**3/12 - 109*c**2/8 - 84*c + 3193. Factor i(b).
(b - 112)*(b + 3)/4
Let h(y) be the first derivative of -y**6/120 + y**4/6 + 59*y**2/2 - 13. Let u(q) be the second derivative of h(q). Factor u(k).
-k*(k - 2)*(k + 2)
Let i(k) be the second derivative of 14/3*k**3 - 11*k - 3 + 1/3*k**4 + 0*k**2. Let i(c) = 0. Calculate c.
-7, 0
Let m(t) = -188*t + 55*t - 49*t**2 - 5 - 15 + 3. Let v(h) = -17*h**2 - 44*h - 6. Let q(a) = -6*m(a) + 17*v(a). Factor q(j).
5*j*(j + 10)
Factor -112*x - 1/2*x**2 + 0.
-x*(x + 224)/2
Let g(y) = -2*y**2 + 2. Let a(u) = u**2 - 1. Let z = 68 + -66. Let t(w) = z*g(w) + 6*a(w). Factor t(n).
2*(n - 1)*(n + 1)
Let a(j) = 4*j**3 + 511*j**2 - 1049*j + 519. Let g(l) = -2*l**3 - 256*l**2 + 524*l - 260. Let d(h) = 2*a(h) + 5*g(h). Solve d(x) = 0.
-131, 1
Let w(f) be the first derivative of -28/3*f**3 + 1/7*f**4 + 2500/7*f + 1150/7*f**2 - 157. Determine x, given that w(x) = 0.
-1, 25
Factor -20*t + 15*t - 4*t**2 + 384 + 12*t + 4*t + 5*t.
-4*(t - 12)*(t + 8)
Suppose -i + 20*i = 513. What is w in 20*w - 15 - 30 - w**2 + i - 18 = 0?
2, 18
Let g = 4957/51 + -287/3. Let j = 6/85 + g. Factor 4*c**2 + 0 - 12/5*c**3 - j*c.
-4*c*(c - 1)*(3*c - 2)/5
Let a(t) = 13*t**4 - 20*t**3 + 15*t**2 + 62*t - 67. Let i(g) = 17*g**4 - 21*g**3 + 16*g**2 + 60*g - 68. Let f(y) = -4*a(y) + 3*i(y). Solve f(s) = 0 for s.
-2, 1, 2, 16
Let f(k) be the first derivative of -8*k**3/21 - 3*k**2/7 + 2*k + 630. Suppose f(w) = 0. What is w?
-7/4, 1
Let i(h) be the third derivative of h**7/70 + h**6/9 - 259*h**5/180 + 181*h**4/36 - 76*h**3/9 - 89*h**2 - 18*h + 3. Determine f, given that i(f) = 0.
-76/9, 1, 2
Let p(b) be the second derivative of -b**5/10 - 25*b**4/6 - 47*b**3/3 - 23*b**2 - 509*b. Factor p(c).
-2*(c + 1)**2*(c + 23)
Factor 1/8*u**2 + 995/2*u + 990025/2.
(u + 1990)**2/8
Let f(i) be the second derivative of i**4/28 + 90*i**3/7 + 12150*i**2/7 - 4*i - 207. Factor f(v).
3*(v + 90)**2/7
Suppose -1745 = -304*c - 144*c + 47. Let -2/7*w**2 - 6/7*w - 2/7*w**c + 4/7 + 6/7*w**3 = 0. Calculate w.
-1, 1, 2
Let a = 125 + -123. Factor -16 - 168*j**a + 5 + 2 + 108*j**4 - 44*j + 324*j**5 - 216*j**3 + 5.
4*(j - 1)*(3*j + 1)**4
Let p(d) = d**2 + 2*d - 47. Let g be p(-8). Factor -3*v**3 - 1987*v**4 + 24*v**3 - g - 9*v**2 + 2017*v**4 + 1.
3*v**2*(v + 1)*(10*v - 3)
Factor -2768/3*g - 2776/3 - 686/3*g**2 + 2/3*g**3.
2*(g - 347)*(g + 2)**2/3
Suppose 1136/7 - 2/7*b**2 - 276/7*b = 0. What is b?
-142, 4
Factor 1 - 477*i + 0*i**2 - 3*i**3 + 480*i - 1 - 7*i**2 + 7*i**4.
i*(i - 1)*(i + 1)*(7*i - 3)
Factor -436/7*i + 2*i**3 + 0 + 1522/7*i**2.
2*i*(i + 109)*(7*i - 2)/7
Let r(p) be the second derivative of 5*p**4/3 - 3*p**3/2 - 7*p**2/2 + 59*p. Let l(f) = 7*f**2 - 3*f - 2. Let k(j) = -11*l(j) + 4*r(j). What is u in k(u) = 0?
-1, 2
Let a(x) be the third derivative of x**5/12 - 25*x**4/24 + 5*x**3 + 3512*x**2. Suppose a(u) = 0. What is u?
2, 3
Let j = -1175140/17 + 69126. Solve -40/17 - 4/17*u**3 + 30/17*u**2 - j*u**4 - 8/17*u = 0.
-5, -1, 2
Let j = -116/697 + 2438/6273. Factor 2/9*d**3 + j*d + 0 - 4/9*d**2.
2*d*(d - 1)**2/9
Find l such that -133*l + 0 - 1/3*l**4 - 799/3*l**2 - 401/3*l**3 = 0.
-399, -1, 0
Suppose 118/3*p - 116/3 - 2/3*p**2 = 0. Calculate p.
1, 58
Let w(z) be the third derivative of z**7/1260 + z**6/90 - 23*z**5/72 + 101*z**4/72 - 8*z**3/3 - 2*z**2 + 2141. Factor w(t).
(t - 6)*(t - 1)**2*(t + 16)/6
Let d(w) be the third derivative of -w**6/360 - 3*w**5/10 - 27*w**4/2 + 86*w**3/3 - 3*w**2 - 3. Let c(p) be the first derivative of d(p). Factor c(h).
-(h + 18)**2
Suppose -11*v - 5310 = 7*v. Let z be (-1)/(-5) + v/(-25) + -12. Determine t, given that 2/11*t - 4/11*t**4 + z + 4/11*t**2 + 0*t**3 - 2/11*t**5 = 0.
-1, 0, 1
Suppose -2*p - 7*p = -108. Factor -5426 + 5426 - 4*d**2 - p*d.
-4*d*(d + 3)
Let f(k) be the first derivative of k**6/1440 - 3*k**5/80 - 19*k**4/96 + 11*k**3/3 - 143. Let w(m) be the third derivative of f(m). Factor w(h).
(h - 19)*(h + 1)/4
Let m(r) = 4*r + 31*r + r**2 - 31*r + 3. Let t(c) = c**2 + 4*c + 3. Let v(w) = -3*m(w) + 2*t(w). Suppose v(z) = 0. Calculate z.
-3, -1
Let q(j) = -50*j**2 - 209*j - 1027. Let g(t) = -16*t**2 - 70*t - 342. Let n(a) = -19*g(a) + 6*q(a). Let n(h) = 0. Calculate h.
-12, -7
Solve 3/2*a**4 - 45*a - 3/2*a**2 + 0 + 45*a**3 = 0.
-30, -1, 0, 1
Let s = 97537 - 97535. Factor 0 - 2/3*j**3 + 1/3*j**s + 0*j + 1/3*j**4.
j**2*(j - 1)**2/3
Let i = 890411 - 890411. Factor -2/3*r**3 + 1/3*r + 1/3*r**5 + 0*r**4 + i + 0*r**2.
r*(r - 1)**2*(r + 1)**2/3
Let j = 194848 + -1363892/7. Determine a so that -16/7 + 128/7*a**3 + 60/7*a**4 - 128/7*a - j*a**2 = 0.
-2, -1, -2/15, 1
Let r(s) be the third derivative of -1/90*s**5 + s**2 - 39 - 2/9*s**4 - 7/9*s**3 + 0*s. Factor r(l).
-2*(l + 1)*(l + 7)/3
Let q(o) = 5*o**2 - 10*o - 115. Let u(y) = -129. Let a(b) = b**2 - 2*b + 132. Let p(v) = 5*a(v) + 6*u(v). Let l(f) = -5*p(f) + 6*q(f). Factor l(m).
5*(m - 6)*(m + 4)
Suppose -3*x + 7*x + 50 = -3*c, 0 = -3*c + x - 25. Let v be (-22)/c + -11 + 0 + 9. Factor y - 8/5*y**2 + 10 + v*y**3.
(y - 5)**2*(y + 2)/5
Suppose -5*d - 28*y = 466, 3*d + 17*y + 79 = 12*y. Factor 1/5*f**d - 43/5 - 42/5*f.
(f - 43)*(f + 1)/5
Let q be 515255/439725 + 2/10 + -1. Let w = q - 1/123. Factor w*j - 2/11*j**2 + 6/11.
-2*(j - 3)*(j + 1)/11
Let t(c) be the second derivative of c**7/5040 - c**6/360 - 25*c**3/2 - 108*c. Let r(f) be the second derivative of t(f). Let r(v) = 0. Calculate v.
0, 6
Let a be -16 - (-103 - -105)/((-4)/32). What is u in 116/7*u**3 + a + 4/7*u**5 - 64/7*u**4 - 8*u**2 + 0*u = 0?
0, 1, 14
Let c(t) be the first derivative of t**4/10 + 44*t**3/3 + 605*t**2 - 1378. Factor c(n).
2*n*(n + 55)**2/5
Let m(x) = -25*x**3 + 10205*x**2 + 20445*x + 10375. Let i(t) = -2*t**3 + 785*t**2 + 1573*t + 798. Let w(h) = 40*i(h) - 3*m(h). Factor w(j).
-5*(j - 159)*(j + 1)**2
Let r(o) = o. Let u(n) = -3*n**2 - n. Let a(y) = -4*y**2 + 167*y + 3200. Let l(i) = -a(i) + 2*u(i). Let p(m) = 2*l(m) + 18*r(m). Factor p(h).
-4*(h + 40)**2
Let i be ((-12)/(-15))/(-10 - (-101)/10). Let u(p) be the second derivative of 0 + 4/3*p**3 + 41*p - 1/10*p**5 - 1/3*p**4 + i*p**2. Solve u(l) = 0 for l.
-2, 2
Determine p so that -6 - 49/2*p**2 + 32*p + 13/2*p**4 - 8*p**3 = 0.
-2, 3/13, 1, 2
Let z(a) = 92*a**2 + 463*a + 17. Let d be z(-5). Factor 0 + 0*p**d - 3/4*p**4 + 0*p + 9/2*p**3.
-3*p**3*(p - 6)/4
Let f = 3543/5992 - 162/749. Factor 9/8*x - f*x**2 - 5/8 - 1/8*x**3.
-(x - 1)**2*(x + 5)/8
Let c be 17390/8288 - (-3)/16. Let w be 2/5 + 184/40. What is i in -32/7*i**w - 2*i - 2/7 - 2*i**2 + 46/7*i**3 + c*i**4 = 0?
-1, -1/4, 1
Let -w**5 + 203*w**3 + 44*w - 226*w**3 - 20*w + 10*w**4 - 10*w**2 = 0. Calculate w.
-1, 0, 1, 4, 6
Let w be (-63 + 13)/(1/(-6)). Let 240*d + 59*d**5 + 57*d**4 - 28*d**5 + w - 357*d**2 - 237*d**3 - 34*d**5 = 0. Calculate d.
-1, 1, 10
Let j(p) = p**3 - 22*p**2 - 49*p + 1. Let n be j(25). Let w = n + -651. Solve -3/4*c**5 - 9/4*c**4 + w*c**2 + 0*c**3 + 0 + 0*c = 0.
-3, 0
Let q = 483 - 501. Let b be -4 + 203/45 + 2/q. Factor 0 + 1/5*v**3 + 1/5*v**2 - b*v.
v*(v - 1)*(v + 2)/5
Let i(u) be the first derivative of -3*u**4/7 + 2428*u**3/21 - 400*u**2/7 - 1616*u/7 - 3526. Determine m so that i(m) = 0.
-2/3, 1, 202
Let g be (-1)/4 - 33/(-4). Let z be (-600)/(-270) + 2*(-2)/18. Factor g*h**3 + h**3 - 4*h**z - 7*h**3.
2*h**2*(h - 2)
Let m(l) be the third derivative of l**6/3960 + 17*l**5/1320 + 2*l**4/33 - 17*l**3/2 - 130*l**2. Let k(t) be the first derivative of m(t). Factor k(y).
(y + 1)*(y + 16)/11
Let k be (-51)/(-5) - (-36)/16*-4. Let g(s) be the first derivative of 0*s**3 + 10 + 0*s**2 - 3/8*s**4 + k*s**5 + 0*s. Factor g(o).
3*o**3*(4*o - 1)/2
Suppose -p + 4 = 2. Let k(h) = 38*h**3 - 3*h**2 + 2*h - 4. Let u be k(p). Factor -100*j**4 - 192*j - 32*j**5 - 44*j**4 + 44 - 8 - 24*j**3 + u*j**2.
-4*(j + 3)**2*(2*j - 1)**3
Let d(s) be the first derivative of 2*s**6/15 + 2*s**5/5 - s**4 - 16*s**3/3 - 8*s**2 - 256*s + 193. Let j(n) be the first derivative of d(n). Factor j(v).
4*(v - 2)*(v + 1)**2*(v + 2)
Let -3952*r - 2/3*r**3 + 4056 - 310/3*r**2 = 0. Calculate r.