3 - 18*r**2 + 11*r + 6. Let z(t) = v*s(t) - 5*w(t). Let z(u) = 0. Calculate u.
0, 1, 14
Let q be ((-22)/88 - (-1)/(-12))*-1. Factor -1/6*x**3 + q*x**2 + 2/3*x - 4/3.
-(x - 2)**2*(x + 2)/6
Suppose 19*m - 58*m + 117 = 0. Let a(u) be the second derivative of 1/70*u**6 - 5/7*u**m + 3/7*u**4 + 9/14*u**2 - 16*u + 0 - 9/70*u**5. Factor a(x).
3*(x - 3)*(x - 1)**3/7
Let q = 58 + -63. Let i be 2/25*(-5 + q)*-5. Factor -4*y**2 - 6*y**3 - 8*y**3 + 24*y - 3*y**4 - 2*y**3 - y**i.
-4*y*(y - 1)*(y + 2)*(y + 3)
Let q(d) be the first derivative of d**3 - 1/16*d**4 + 13*d - 6*d**2 + 9. Let m(z) be the first derivative of q(z). Factor m(a).
-3*(a - 4)**2/4
Let x(b) be the first derivative of 460*b**3/3 - 1395*b**2/2 + 45*b - 5235. Factor x(f).
5*(f - 3)*(92*f - 3)
Let y(x) be the first derivative of 3/20*x**5 + 0*x**2 + 125 - 1/4*x**3 + 1/8*x**6 - 3/16*x**4 + 0*x. Suppose y(c) = 0. What is c?
-1, 0, 1
Suppose 3758 - 14166 = -2*y - t, -3*t + 6 = 0. Suppose 5*r = 4177 + y. Find d such that -8*d**2 + 0*d**3 - 4*d**3 + 1872*d - r*d = 0.
-1, 0
Let u(i) = i**2 + 8*i + 3. Suppose -7*k + 9 = 114. Let p be u(k). Suppose 0*f**2 + 209 - 103 - p - 6*f**2 + 8*f = 0. What is f?
1/3, 1
Suppose 5*o**5 + 15*o**4 - 22 - 28*o**3 + 187 - 160*o**3 + 490*o**2 - 22*o**3 - 30 - 435*o = 0. What is o?
-9, 1, 3
Let l be ((2/(-12))/(-1))/(5/(-310)). Let a = l + 13. Factor -2*c**2 + 2/3*c**3 + 0*c + a.
2*(c - 2)**2*(c + 1)/3
Let l be (-3)/30*-71 - (16 + -9). Let w = -101 + 103. Factor -x - l*x**w - 9/10.
-(x + 1)*(x + 9)/10
Factor 5*m**2 + 117*m - 180 - 80 + 178*m - 250*m.
5*(m - 4)*(m + 13)
Let q(l) be the first derivative of -5*l**5 + 1045*l**4/2 - 6095*l**3 + 19300*l**2 + 18500*l - 3161. Find o, given that q(o) = 0.
-2/5, 5, 74
Let z = -352/1229 + 7034/15977. Let -8/13*b**4 - z*b**5 + 28/13*b**2 + 34/13*b + 12/13 + 0*b**3 = 0. Calculate b.
-3, -1, 2
Factor -63 + 45/2*b - 1/2*b**2.
-(b - 42)*(b - 3)/2
Let o = 346 - 343. Factor -46*h**3 - 3631*h - 390*h**2 + 41*h**o - 87880 - 2442*h - 4067*h.
-5*(h + 26)**3
Let h(b) be the first derivative of b**5/25 + 231*b**4/20 + 229*b**3/15 - 231*b**2/10 - 46*b + 257. Determine d, given that h(d) = 0.
-230, -1, 1
Let n be 345/(-10)*(64/6)/4. Let z be (-6)/10*115/n. Find g, given that -3/4*g**4 + 0*g**3 + 0 + 0*g + z*g**2 = 0.
-1, 0, 1
Find r, given that 3460/9*r - 2/9*r**2 - 1496450/9 = 0.
865
Suppose 277*p = 276*p. Let c(o) be the third derivative of -10*o**2 + 0*o + 1/240*o**6 + p*o**3 - 1/420*o**7 + 0 + 0*o**4 + 1/60*o**5. Factor c(v).
-v**2*(v - 2)*(v + 1)/2
Solve 18690 - 173 + 2*a**2 + 16102 - 6771 - 230*a - 242*a = 0 for a.
118
Let k(m) be the third derivative of -m**6/160 - 61*m**5/240 + 43*m**4/96 + 7*m**3/8 - 285*m**2. Factor k(i).
-(i - 1)*(i + 21)*(3*i + 1)/4
Factor 114*g**2 + 19 - 41*g**2 + 157*g + 33 - 37*g**2 - 33*g**2.
(g + 52)*(3*g + 1)
Let y(j) be the first derivative of 3*j**5/35 - 3*j**4/2 - 3*j**3/7 + 66*j**2/7 - 12*j - 2184. Let y(z) = 0. What is z?
-2, 1, 14
Let c = 489 + -479. Suppose -52 + 32 = -c*l. What is n in -2/23*n**l - 2/23 + 4/23*n = 0?
1
Let z(o) be the first derivative of -58 + 1/20*o**4 + 1/5*o**3 - 1/30*o**6 + 0*o + 0*o**2 - 3/25*o**5. Let z(b) = 0. What is b?
-3, -1, 0, 1
Let h = 66928 + -66925. Factor -35/4*c**2 + 25/2*c - 5/4*c**h + 20.
-5*(c - 2)*(c + 1)*(c + 8)/4
Let a(m) be the first derivative of -3*m**4/20 + 13*m**3/5 - 39*m**2/5 - 336*m/5 + 802. Factor a(w).
-3*(w - 8)*(w - 7)*(w + 2)/5
Suppose -2/13*l**3 - 2*l**2 + 80/13*l + 1400/13 = 0. What is l?
-10, 7
Let y(o) = -3*o**3 + 78*o**2 + 84*o - 159. Let n(t) = -3*t**3 + 78*t**2 + 85*t - 160. Let m(w) = 3*n(w) - 2*y(w). Determine k, given that m(k) = 0.
-2, 1, 27
Let v(w) be the first derivative of -8/3*w**3 + 156 - w**4 - 40*w + 26*w**2. Factor v(h).
-4*(h - 2)*(h - 1)*(h + 5)
Find t such that 246*t + 62*t + 5*t**2 - 14*t**2 + 8*t**2 + 858 + 549*t = 0.
-1, 858
Let q(t) be the first derivative of -t**3/18 - 49*t**2/12 - 47*t/3 + 4042. Factor q(a).
-(a + 2)*(a + 47)/6
Find f such that 1053/4*f**3 - 81/4*f**4 + 10527/4*f - 5049/4*f**2 - 3993/2 = 0.
2, 11/3
Let r(m) = m**3 - m + 2. Let l(u) = -4*u**3 - 54*u**2 + 6*u - 12. Suppose 3*x - 28*x - 50 = 0. Let s(h) = x*l(h) - 12*r(h). Determine k so that s(k) = 0.
0, 27
Let y(x) = x**2 + x - 1. Let r(f) be the second derivative of 0 + 1/12*f**4 + f**3 + 6*f - 3*f**2. Let a(s) = -r(s) + 6*y(s). Suppose a(b) = 0. What is b?
0
Suppose 23*v = 20*v + 3*x + 6, -5*v = -3*x - 10. Let t = -61/5 - -63/5. Let -t + 1/5*c + 1/5*c**v = 0. What is c?
-2, 1
Suppose 4*c + 0*m + 172 = -m, 3*c + 5*m = -129. Let u = c - -47. Let 3*g**2 - 7*g**3 + 2*g**4 + u*g**3 - g**2 - g**3 = 0. What is g?
0, 1
Let b(n) = 2*n + 29. Let z be b(-11). Factor 16 + 15*d - 5*d**2 + 4 - z + 7.
-5*(d - 4)*(d + 1)
Factor -12 - 12*d - 11 + 15*d**2 - 17*d**2 + 7.
-2*(d + 2)*(d + 4)
Suppose 4*r + 2*c - 15 = -17, -5*r + 3*c + 3 = 0. Factor r - 2/5*h**2 + 2*h.
-2*h*(h - 5)/5
Let z(n) be the third derivative of 1/60*n**6 - 1/12*n**4 + 0*n + 1/30*n**5 + 29*n**2 + 0 - 1/3*n**3. Suppose z(q) = 0. Calculate q.
-1, 1
Factor 153 + 3/5*s**2 + 96/5*s.
3*(s + 15)*(s + 17)/5
Let d = 118 - 116. Suppose 0*y + 6 = d*s - y, 0 = -4*s + 5*y. Determine j, given that -5 + 20*j - s*j**2 + 10*j**2 + 24 - 4 = 0.
-3, -1
Suppose 0 = -17*g + 1775 + 350. Factor -16*b**2 - g + 2*b + 26*b**2 + 23*b.
5*(b + 5)*(2*b - 5)
Let p be 18771/105 - ((-2520)/(-225))/56. Factor 100/7*h + p + 2/7*h**2.
2*(h + 25)**2/7
Suppose -12*b + 99 = -3*b. Let l(d) = 3*d**2 + 4*d + 5. Let f(m) = 8*m**2 + 11*m + 14. Let o(p) = b*l(p) - 4*f(p). Factor o(t).
(t - 1)*(t + 1)
Let g be ((-4)/6 + 114/(-9))*30. Let z be (-60)/g + (-1)/(-10)*6. Factor 0*x - z*x**2 + 3.
-3*(x - 2)*(x + 2)/4
Let p(u) be the second derivative of u**4/4 - 94*u**3 + 561*u**2/2 + 2825*u. Solve p(c) = 0.
1, 187
Let w = 8 - 5. Suppose -14*n + 18 + 22 = 12. Solve 18*h - 5*h**w - 5*h**n - 18*h = 0.
-1, 0
Factor 13/2*g + 20/3 - 1/6*g**2.
-(g - 40)*(g + 1)/6
Find b, given that -11842 - 1658 - 5*b**3 - 5400*b - 281669*b**2 + 281354*b**2 = 0.
-30, -3
Let x(k) be the first derivative of -12 + 0*k - 1/90*k**5 - 11*k**2 - 4/9*k**3 - 5/36*k**4. Let m(g) be the second derivative of x(g). Factor m(w).
-2*(w + 1)*(w + 4)/3
Let w(z) = 4*z**2 + 150*z - 495. Let l(s) = 20*s**2 + 752*s - 2478. Let h(f) = -3*l(f) + 14*w(f). Factor h(c).
-4*(c - 3)*(c + 42)
Suppose 27*d - 2*d + 3 = 3. Let w(m) be the third derivative of 0*m + 2/7*m**3 + d + 15*m**2 - 5/56*m**4 + 1/140*m**5. Let w(i) = 0. Calculate i.
1, 4
Factor 62*m**2 - 60*m**2 + 437*m**2 - 5 - 169*m**2 + 265*m.
5*(m + 1)*(54*m - 1)
Let u(t) be the first derivative of 1/3*t**4 + 12 - t**3 - 11/2*t**2 - 1/30*t**5 + 0*t. Let a(l) be the second derivative of u(l). Factor a(k).
-2*(k - 3)*(k - 1)
Let p(g) be the third derivative of g**5/150 + 43*g**4/60 - 44*g**3/15 - 963*g**2. Determine d so that p(d) = 0.
-44, 1
Let u(i) = 15*i**2 + 28*i + 16. Suppose 10 = -5*w - c + 2*c, w = 4*c + 17. Let v(h) = 15*h**2 + 27*h + 14. Let o(g) = w*v(g) + 2*u(g). Factor o(f).
-5*(f + 1)*(3*f + 2)
Let b = -893 - -893. Suppose b = 2218*x - 2207*x - 22. Find w, given that -8/3*w - x - 2/3*w**2 = 0.
-3, -1
Let j(k) = k - 9. Let q be j(8). Let d = 298 - 300. Let w(g) = g. Let x(p) = -5*p**2 + 23*p. Let y(s) = d*w(s) + q*x(s). Factor y(c).
5*c*(c - 5)
Let s be 21889/15582 + ((-14)/(-35))/(14*(-6)/(-20)). Factor -45/2 - s*z**3 + 45/2*z**2 + 3/2*z.
-3*(z - 15)*(z - 1)*(z + 1)/2
Let m(p) = p**2 + p + 3. Let t be m(-2). Let o(y) = 6*y**3 - 8*y**2 - 5*y - 5. Let f(x) = -2*x**3 + 4*x**2 + 2*x + 2. Let w(q) = t*f(q) + 2*o(q). Factor w(k).
2*k**2*(k + 2)
Let h = 1286 - 1282. Let s(u) be the first derivative of -14/25*u**5 + u**h - 2/5*u**3 - 21 + 0*u + 0*u**2. Factor s(x).
-2*x**2*(x - 1)*(7*x - 3)/5
Solve -6 - 1/2*i**2 + 7/2*i = 0 for i.
3, 4
Let q(o) be the first derivative of -3*o + 3/2*o**4 + 1/6*o**6 - 2/3*o**3 - 7/2*o**2 - 34 + o**5. Solve q(x) = 0.
-3, -1, 1
Let m be (((-7)/5)/(36/30))/(9856/288 - 35). Determine x so that 0 - 63/2*x - m*x**2 = 0.
-21, 0
Let p(v) = -v**2 + 35*v + 72. Let s be p(36). Let y be (s/(-14))/(-3)*4. Find t, given that -10/7*t**2 + y*t - 8/7 = 0.
2/5, 2
Let l = -7/20 - -47/220. Let s = 153/154 + l. Determine w so that 0 + s*w**4 - 3/7*w**3 - 3/7*w**5 + 0*w + 0*w**2 = 0.
0, 1
Let n = 14018 + -42049/3. Factor -n*u**3 -