28/5*f**2 - 152/5*f + 154/5*f**3 - 2/5*f**5 - 32 + 32/5*f**4 = 0. Calculate f.
-2, -1, 1, 20
Factor -411*h - 336*h - 4*h**2 - 91*h + 1688 + 284*h - 282*h.
-4*(h - 2)*(h + 211)
Let w(f) = f**4 + 4*f**3 + 3*f. Let a(s) = -3*s**4 - 12*s**3 - 8*s. Suppose -53*j + 55*j = -134. Let y = j - -75. Let v(n) = y*w(n) + 3*a(n). Factor v(u).
-u**3*(u + 4)
Suppose -4*v + 8 = 0, 61 = 5*q - v - 17. Factor -q*s - 85*s**2 + 172*s**2 - 89*s**2 - 24.
-2*(s + 2)*(s + 6)
Let u be (-12)/(-6*104/117). Factor -15/2 + 3/4*v**2 - u*v.
3*(v - 5)*(v + 2)/4
Factor -1/3*m**2 - 100/3*m + 175.
-(m - 5)*(m + 105)/3
Let c(l) be the first derivative of -l**5/50 + l**4/2 - 14*l**3/15 + 57*l - 65. Let a(k) be the first derivative of c(k). Suppose a(b) = 0. Calculate b.
0, 1, 14
Let v(g) be the second derivative of g**6/900 - g**5/75 + g**4/20 - g**3/6 - g**2 + 171*g. Let b(q) be the second derivative of v(q). Factor b(c).
2*(c - 3)*(c - 1)/5
Let j(m) = -m**3 - 23*m**2 + 132*m + 3656. Let a be j(-21). Factor -1/7*t**3 + 0 + 12/7*t - 1/7*t**4 + 8/7*t**a.
-t*(t - 3)*(t + 2)**2/7
Suppose d - 16 = -5*w, 0 = 5*d - 0 - 5. Factor 27*f - 2*f**3 + 4*f**3 - w*f**2 + 6*f + 8 - 8*f**2 - 23*f.
(f - 4)*(f - 2)*(2*f + 1)
Let r(x) be the second derivative of 296*x + 1/10*x**6 + 0 - 5043/2*x**2 + 123/10*x**5 - 41*x**3 + 420*x**4. Factor r(w).
3*(w - 1)*(w + 1)*(w + 41)**2
Suppose -3*t - 10 = 2*h, -4*h + 2*t = -2*t - 20. Let l(a) = 3*a**2 - 2*a + 1. Let c be l(h). Factor -26*j + j**c + 22*j + 3*j**2.
4*j*(j - 1)
Let n be 18319/(-135030) - 6/(-45). Let h = n - -51479/16718. Find k, given that -8/13*k**4 + h*k**2 + 4/13 - 22/13*k**3 + 8/13*k**5 - 22/13*k = 0.
-2, 1/2, 1
Solve 1023 + 1071*c**3 - 4640*c**2 + 1056*c**4 + 739*c**3 - 64*c**5 + 1884*c + 170*c**3 - 1239 = 0 for c.
-3, 1/4, 1, 18
Let s be -27 + 928/((-1312)/(-41)). Factor 17/4*c**s - 5/4 + c**3 - 4*c.
(c - 1)*(c + 5)*(4*c + 1)/4
Let c = 618/113 + -2864/565. Determine z, given that -52/5 - c*z**2 - 54/5*z = 0.
-26, -1
Let q(h) = -128*h + 5130. Let o be q(40). Let p(d) be the second derivative of -o*d - 1/3*d**3 + 0 - 1/30*d**6 + 1/10*d**5 + 1/12*d**4 + 0*d**2. Factor p(v).
-v*(v - 2)*(v - 1)*(v + 1)
Let c(d) be the first derivative of -2*d**3/69 - 10*d**2 - 1150*d - 953. Factor c(o).
-2*(o + 115)**2/23
Let y(p) be the second derivative of 4*p**3 + 0 - 275*p + 1/3*p**4 + 18*p**2. What is v in y(v) = 0?
-3
Let s(p) be the first derivative of -4/33*p**3 - 6/11*p - 20 + 7/11*p**2. Factor s(o).
-2*(o - 3)*(2*o - 1)/11
Let t(b) be the second derivative of b**5/15 - 11*b**4/9 - 28*b**3/9 + 16*b**2 - 342*b. Factor t(f).
4*(f - 12)*(f - 1)*(f + 2)/3
Suppose 3*r - 13 - 2 = 3*t, 4*t + 5 = -r. Factor -12 - 18*g - 6*g + 12*g**2 - r*g**2 + 12*g - 3*g**4 + 6*g**3.
-3*(g - 2)**2*(g + 1)**2
Let n be (-176)/(-660)*6*(-15)/(-144). Let q be 0/2 + 2 + -2. Suppose q*t + n*t**2 + 0 = 0. Calculate t.
0
Let c(l) = l**2 - 26*l - 40. Let p(h) = -3*h**2 + 51*h + 78. Let a(t) = 9*c(t) + 4*p(t). Factor a(x).
-3*(x + 2)*(x + 8)
Let i(f) be the first derivative of f**3/6 + 11*f**2/2 - 84*f + 1923. Factor i(u).
(u - 6)*(u + 28)/2
Factor -33/2*t + 81 + 1/2*t**3 - 13*t**2.
(t - 27)*(t - 2)*(t + 3)/2
Suppose -20*x - 190 = -5*o - 22*x, 2*o + 2*x = 82. Factor -5*n**2 - 54 - 38*n - 21 - 30*n - o*n + 24*n.
-5*(n + 1)*(n + 15)
Solve 40/9*i**3 + 2/9*i**4 + 88/3*i**2 + 512/9 + 640/9*i = 0.
-8, -2
Let d be (-2385)/(-360) - (-15)/192*-8. Factor -d - 10*a + 26/3*a**2 - 14/9*a**3.
-2*(a - 3)**2*(7*a + 3)/9
Let b(n) = 73*n**4 + 48*n**3 - 764*n**2 + 1329*n + 6415. Let y(j) = 34*j**4 + 25*j**3 - 382*j**2 + 665*j + 3207. Let q(i) = 7*b(i) - 15*y(i). Factor q(u).
(u - 25)*(u - 8)**2*(u + 2)
Let b(u) = -2*u**3 - 31*u**2 + 199*u - 6. Let q(p) = -3*p**3 - 32*p**2 + 200*p - 8. Let v = -71 - -68. Let y(j) = v*q(j) + 4*b(j). Factor y(i).
i*(i - 14)**2
Factor 252/5 - 127/5*c**2 + 124/5*c + 1/5*c**3.
(c - 126)*(c - 2)*(c + 1)/5
Let x = -27257 - -27257. Let y(w) be the second derivative of -3/8*w**4 + 1/120*w**6 - 7/8*w**2 - 5/6*w**3 - 1/20*w**5 + x + 10*w. Factor y(p).
(p - 7)*(p + 1)**3/4
Let i(x) = -51*x + 129. Let l(n) = -17*n + 43. Let j(p) = -3*i(p) + 8*l(p). Let c be j(9). Let -c*a**2 + 48*a + 120*a**2 + 17 - 4*a - 1 = 0. Calculate a.
-4, -2/5
Let h(c) = 7*c**3 - 3*c**2 - c + 6. Let o(b) = 8*b**3 - 4*b**2 + 8. Let u(w) = -4*h(w) + 3*o(w). Factor u(i).
-4*i*(i - 1)*(i + 1)
Let i(h) be the second derivative of 5/3*h**3 + 1 + 20*h**2 - 25/12*h**4 + 19*h + 1/4*h**5. Factor i(l).
5*(l - 4)*(l - 2)*(l + 1)
Let k = 30097/2834 - 170/1417. Factor 0 + 3/2*a**2 - k*a.
3*a*(a - 7)/2
Let b = 18/4259 + 119198/12777. Let s(v) be the first derivative of 4/15*v**5 + 64/3*v**3 - 196/3*v + b*v**2 - 14/3*v**4 - 39. Factor s(l).
4*(l - 7)**2*(l - 1)*(l + 1)/3
Let z be (-13 - (-2632)/245)*-7 - (-1 - -12). Find t such that -2/5*t**4 - 12/5*t**3 + 8/5*t - 18/5*t**2 + z = 0.
-3, -2, 1
Let t be 192/512*(-57)/1. Let p = -663/40 - t. Suppose 12/5*s**3 + 20*s + 108/5*s**2 + p - 4*s**4 = 0. Calculate s.
-1, -2/5, 3
Determine c so that -84*c**4 - 10*c**5 - 425*c**2 - 648*c**2 + 471*c**3 + 396*c + 7*c**5 + 293*c**2 = 0.
-33, 0, 1, 2
Let z(h) = h**4 - h**3 - h**2 + h - 2. Let o(u) = -8*u**4 + 13*u**3 + 58*u**2 + 37*u + 14. Let c(g) = 4*o(g) + 28*z(g). What is x in c(x) = 0?
-4, -1, 0, 11
Let j be 2/(-4)*-1*(78 + -2). Suppose -5*l + 93 = j. What is h in l*h - 13*h - 384*h**2 - 13*h + 387*h**2 = 0?
0, 5
Let j be (-439)/(-21) - 42/(-98). Let s(y) = -76*y - 9954. Let m be s(-131). Find w, given that 16*w + 1/3*w**3 + j + 4*w**m = 0.
-4
Let b(k) = -2*k**2 - 591*k + 86406. Let y(s) = 3*s**2 + 592*s - 86396. Let w(v) = 4*b(v) + 3*y(v). Find i such that w(i) = 0.
294
Let r = -278 - -304. Determine f, given that 10*f + 4*f**2 - 7*f + r*f + 28 + 7*f - 4*f = 0.
-7, -1
Let v(g) be the third derivative of g**6/40 + 3*g**5/20 - g**4/8 - 3*g**3/2 - 1125*g**2. Factor v(y).
3*(y - 1)*(y + 1)*(y + 3)
Find i, given that 12*i + 73*i - 186*i**2 + 270 + 185*i**2 + 2*i = 0.
-3, 90
Let m(j) = -2*j**4 + 3*j**2 - j - 1. Let r(c) = 21*c**4 + 60*c**3 - 60*c**2 - 126*c + 111. Let b(k) = 6*m(k) + r(k). Let b(l) = 0. Calculate l.
-7, -5/3, 1
Let o(x) be the third derivative of x**6/200 - 251*x**5/20 + 49454*x**4/5 - 587814*x**3/5 + 64*x**2 + 5*x + 4. Solve o(a) = 0.
3, 626
Let r(z) be the third derivative of -5/6*z**3 - 66*z**2 + 0*z + 0 - 29/40*z**5 - 71/48*z**4 + 19/30*z**6 + 4/105*z**7. Find l, given that r(l) = 0.
-10, -1/4, 1
Let q(y) = -y**2 - 8*y - 3. Let c be q(-12). Let a = c + 53. Factor 18*r**2 + 8*r + 17*r**a - 12 - 31*r**2.
4*(r - 1)*(r + 3)
Let c(t) = 51*t**2 + 238*t - 83. Let q be c(-5). Determine u so that -3/7*u**4 + 9/7 + 24/7*u + 0*u**3 + 18/7*u**q = 0.
-1, 3
Suppose 4*d + 9 = 17. What is y in 22*y**3 - 10*y**4 + y**5 - 30*y**d - 5*y**3 + 22*y**2 = 0?
0, 1, 8
Let t(x) be the first derivative of x**5 + 145*x**4 + 6475*x**3 + 74465*x**2 + 224720*x + 8140. Determine k, given that t(k) = 0.
-53, -8, -2
Factor 26/25*d**2 - 2/25*d**3 - 4*d + 112/25.
-2*(d - 7)*(d - 4)*(d - 2)/25
Let v(t) = -15*t**3 + 20*t**2 + 2*t - 2. Let k(p) = 8*p**3 - 2*p**2 - p + 1. Let a(y) = 4*k(y) + 2*v(y). Determine i so that a(i) = 0.
-16, 0
Let m(j) be the third derivative of -j**7/280 + 3*j**6/20 - 4*j**5/5 + 55*j**3/2 + 320*j**2. Let y(c) be the first derivative of m(c). Solve y(t) = 0.
0, 2, 16
Let q(m) be the second derivative of -m**7/4200 + m**6/120 + 2*m**5/75 + 49*m**3/2 + m - 22. Let i(j) be the second derivative of q(j). Factor i(x).
-x*(x - 16)*(x + 1)/5
Let s(n) be the first derivative of 576*n**4 - 992*n**3 + 721*n**2/2 - 49*n - 2214. Factor s(t).
(t - 1)*(48*t - 7)**2
Let c be (-102)/527*(-3596)/174. Suppose 6*i**5 + 74/3*i**3 - 68/3*i**c - 16/3*i**2 - 8/3*i + 0 = 0. Calculate i.
-2/9, 0, 1, 2
Let x = 2/41917 + 41911/125751. Suppose 13*w**3 + 10/3*w**4 + 74/3*w**2 + 68/3*w + 8 + x*w**5 = 0. What is w?
-3, -2, -1
Suppose -5*f + 3*x + 315 = 7*x, 300 = 5*f + x. Suppose -69*d + 175*d + 5*d**3 - f*d - 15*d**2 - 67*d + 60 = 0. Calculate d.
-2, 2, 3
Let x(d) = 14*d**2 - 2*d - 5. Let o(r) = 5*r**2 - r - 2. Let v(c) = -c**3 - 14*c**2 + 14*c - 4. Let a be v(-15). Let q(b) = a*o(b) - 4*x(b). Factor q(h).
-(h + 1)*(h + 2)
Let w(o) be the first derivative of -o**6/27 - 94*o**5/5 - 15121*o**4/6 - 267122*o**3/27 - 44240*o**2/3 - 9800*o - 1391. Factor w(u).
-2*(u + 