pose -16 = -13*l - 3*l. Determine z so that -l + 16*z**5 - 3 + 4 + 20*z**4 + 4*z**3 = 0.
-1, -1/4, 0
Let f = -435 + 501. Suppose f - 58 = 2*h. Factor -4/11*d - 8/11*d**3 + 10/11*d**2 + 2/11*d**h + 0.
2*d*(d - 2)*(d - 1)**2/11
Suppose 9*g**2 + 693874 - 6*g**2 + 3352*g + 573*g - 643*g + 203753 = 0. Calculate g.
-547
Let l = 429 - 341. Find p, given that -58*p**3 + l*p**3 - 5*p**5 - 20*p**2 + p - 26*p + 20*p**4 = 0.
-1, 0, 1, 5
Let h(r) be the third derivative of r**6/320 - 39*r**5/80 + 1353*r**4/64 + 1681*r**3/4 + 22*r**2 - 41*r. Factor h(b).
3*(b - 41)**2*(b + 4)/8
Let u(f) be the third derivative of 11*f**5/20 - 1453*f**4/8 + 66*f**3 + 3924*f**2. Find a such that u(a) = 0.
1/11, 132
Let f(l) = -14*l**2 - 760*l - 8872. Let y be f(-17). Factor -1/3*v**y - 8/3*v - 16/3.
-(v + 4)**2/3
Let z(r) be the second derivative of 0*r**2 + 23/30*r**4 - 23/75*r**6 - 1/21*r**7 + 3/10*r**5 - 2*r - 3 - 2/3*r**3. Suppose z(h) = 0. What is h?
-5, -1, 0, 2/5, 1
Find z such that 44/5*z**2 + 154/5*z + 4/5*z**4 + 12 - 46/5*z**3 = 0.
-1, -1/2, 3, 10
Let a(q) be the second derivative of 38/15*q**5 + 0 + 0*q**2 - 121/9*q**3 - 7/90*q**6 - 803/36*q**4 - 58*q. Determine t so that a(t) = 0.
-2/7, 0, 11
Suppose 51 = 2*a + g, -10*g + 15*g = 5. Factor 21 + 103 + 6*u**2 - 10*u**2 - 95*u - a*u.
-4*(u - 1)*(u + 31)
Let r(k) be the first derivative of -k**3/24 - 7*k**2 + 57*k/2 + 3101. Find v, given that r(v) = 0.
-114, 2
Let v = -577919/2 + 288964. Determine z, given that -v*z**2 + 33/4*z + 1/4*z**3 - 4 = 0.
1, 16
Let i be ((-40)/(-90))/((-4)/2) - (344/(-252) + 1). Let -1/7*s**3 + 0 - i*s**2 + 1/7*s + 1/7*s**4 = 0. Calculate s.
-1, 0, 1
Let s = -171/581 - 1089169/4648. Let f = s - -235. Factor 0*p + f*p**3 - 3/8*p**2 + 0.
3*p**2*(p - 1)/8
Suppose 0 = 67*y - 18*y - 588. Let w be 15/y + (-4 - (-76)/16). Determine s so that 4/5*s + 8/5*s**3 + 0 - 2/5*s**4 - 2*s**w = 0.
0, 1, 2
Let b = 189023/5 + -1701157/45. Solve 10/3*f**2 + 32/9*f - b*f**4 + 8/9 - 4/9*f**3 = 0 for f.
-1, -2/5, 2
Let o(k) be the first derivative of 8/11*k**3 - 20/11*k**2 + 9/22*k**4 + 0*k - 1 - 2/55*k**5. Let o(w) = 0. Calculate w.
-2, 0, 1, 10
Let z(s) be the second derivative of -s**7/210 - 7*s**6/30 + 9*s**5/25 - 65*s - 2. Factor z(d).
-d**3*(d - 1)*(d + 36)/5
Let -1568/11 + 278/11*d**2 - 3808/11*d - 5/11*d**3 = 0. Calculate d.
-2/5, 28
Suppose -8*d**5 + 115*d**4 - 34*d**2 + 15*d**3 - 321*d**2 + 14*d**5 - 11*d**5 + 230*d = 0. What is d?
-2, 0, 1, 23
Let u be 8/6 - 14/12. Let w(v) be the second derivative of u*v**4 + 0 + 6*v**2 - 5/3*v**3 + 5*v. Factor w(d).
2*(d - 3)*(d - 2)
Let b(x) be the third derivative of 0*x - 13/10*x**4 - 169/5*x**3 + 16*x**2 + 6 - 1/50*x**5. Factor b(u).
-6*(u + 13)**2/5
Factor -546*q - 36*q**2 + 37*q**2 - q**3 + 566*q.
-q*(q - 5)*(q + 4)
Let n(y) = -88*y + 1708. Let t(f) = -f**2 + 89*f - 1693. Let d(s) = 5*n(s) + 4*t(s). Factor d(i).
-4*(i - 13)*(i + 34)
Suppose 3*u + 19 = 2*f + 13, -3*f + 9 = 0. Let t(o) be the first derivative of 0*o**3 + 0*o - o**4 + u*o**2 + 4/5*o**5 + 15. Factor t(b).
4*b**3*(b - 1)
Suppose -24*z + 16*z = -216. Let y be (-6)/z + 480/1350. Find v, given that -y*v**3 + 2/15*v**2 + 4/15*v + 0 = 0.
-1, 0, 2
Let v(t) be the third derivative of -t**6/210 - t**5/15 - 5*t**4/14 - 6*t**3/7 + 1131*t**2. Factor v(l).
-4*(l + 1)*(l + 3)**2/7
Let u(v) be the third derivative of -1/15*v**6 - 26/15*v**5 + 0*v + 0 + 26/3*v**3 - 157*v**2 + 1/84*v**8 + 26/105*v**7 + 1/6*v**4. Find o such that u(o) = 0.
-13, -1, 1
Let f(g) be the third derivative of -g**6/20 + 3*g**5/20 - g**4/8 + 666*g**2 - 1. Let f(r) = 0. What is r?
0, 1/2, 1
Let l(b) be the first derivative of 32/5*b - 1/5*b**4 - 32/15*b**3 + 27 + 2/5*b**2. Factor l(o).
-4*(o - 1)*(o + 1)*(o + 8)/5
Let v(l) be the first derivative of l**6/90 - 3*l**5/35 + 4*l**4/21 - 127*l**3/3 + 81. Let i(b) be the third derivative of v(b). Determine c so that i(c) = 0.
4/7, 2
Let o(v) be the third derivative of -4*v**7/105 + 49*v**6/60 - 2*v**5/5 - 358*v**2. Find r such that o(r) = 0.
0, 1/4, 12
Let u(t) be the second derivative of 2*t**6/135 - 26*t**5/45 + 140*t**4/27 + 784*t**3/27 - 3*t - 103. Factor u(g).
4*g*(g - 14)**2*(g + 2)/9
Let a(l) be the first derivative of 7/12*l**3 - 1/10*l**5 + 102 - 1/48*l**6 + 1/2*l**2 + 3/32*l**4 + 0*l. Find j such that a(j) = 0.
-4, -1, 0, 2
Let 121*z**2 - 183*z**3 + 20 + 32 + 23 - 195*z + 251*z**2 - 69 = 0. Calculate z.
2/61, 1
Let x(n) be the first derivative of 80*n**2 - 5/3*n**3 - 194 - 1280*n. Let x(y) = 0. What is y?
16
Let h(z) be the third derivative of -z**5/90 - 241*z**4/36 + 244*z**3/3 + 8113*z**2. Solve h(w) = 0.
-244, 3
Factor -1115267*s + 5*s**2 + 1109959*s - s**2.
4*s*(s - 1327)
Let r be (-144)/(-6)*(-2)/(-4). Let h be r*(-2)/(1 + -9). Determine b, given that -5*b**h + 111 - 111 + 10*b**2 = 0.
0, 2
Let x(g) be the third derivative of g**7/105 + 19*g**6/420 + g**5/14 + g**4/84 - 2*g**3/21 - 5*g**2 - 16. Factor x(h).
2*(h + 1)**3*(7*h - 2)/7
Let k(y) be the first derivative of 4*y**5/5 + 882*y**4 + 259308*y**3 - 775. Factor k(w).
4*w**2*(w + 441)**2
Let q(j) be the third derivative of -j**7/840 + j**6/8 - 22*j**5/5 + 121*j**4/6 - 41*j**3/2 + 25*j**2. Let o(d) be the first derivative of q(d). Factor o(t).
-(t - 22)**2*(t - 1)
Let t(v) be the third derivative of -v**7/1050 + 19*v**6/600 - v**5/5 + 4*v**2 + 17*v - 9. Factor t(h).
-h**2*(h - 15)*(h - 4)/5
Let n(t) be the second derivative of -t**5/10 - 587*t**4/6 - 87016*t**3/3 - 255792*t**2 - 4*t - 414. Factor n(d).
-2*(d + 3)*(d + 292)**2
Let w(g) = 2*g**5 - g. Let z(i) = -5*i**5 - 22*i**4 - 100*i**3 - 104*i**2 + 3*i. Let l(h) = 3*w(h) + z(h). Solve l(o) = 0.
-2, 0, 26
Let h = -118082 - -118085. Factor 0*j - 2*j**4 - 9/8*j**5 + 0 + 1/2*j**h + 0*j**2.
-j**3*(j + 2)*(9*j - 2)/8
Let l(a) = -72*a**4 - 276*a**3 - 186*a**2 + 450*a - 42. Let w(n) = -14*n**4 - 55*n**3 - 37*n**2 + 90*n - 8. Let m(h) = -4*l(h) + 21*w(h). What is o in m(o) = 0?
-15/2, -2, 0, 1
Let y = -118531/33060 + 104/29. Let l(o) be the third derivative of -6*o**2 - 5/57*o**3 + 3/76*o**4 - 1/190*o**5 + 0 + 0*o - y*o**6. Factor l(z).
-2*(z - 1)**2*(z + 5)/19
Suppose 0 = -0*t + 5*t + 2*q - 55, -2*t = -3*q - 3. Suppose 10*k - t - 11 = 0. Factor 8/7*n - 2/7*n**k - 6/7.
-2*(n - 3)*(n - 1)/7
Let t(k) be the first derivative of -5*k**4/4 - 70*k**3/3 + 175*k**2/2 + 240*k - 11775. Suppose t(a) = 0. What is a?
-16, -1, 3
Factor -210657*s**3 + 3971615*s**2 + 3671497 + 25317314 - 10016832 - 3*s**5 + 1383*s**4 + 43821600*s + 25714521 + 6340690*s**2.
-3*(s - 155)**3*(s + 2)**2
Let m(t) = -t**2 + 5*t + 16. Let h be m(7). Factor -19978 + y**3 + 3*y**4 - 2*y**h + 19978.
y**2*(y + 1)*(3*y - 2)
Let k = 114 + -106. Factor -8*y - k*y - 30*y + 5*y**2 + y.
5*y*(y - 9)
Let g(c) = -4*c**3 - 5*c**2 + 3*c + 3. Let u(d) = 20 - 10 + d + 4*d - 4 - 6*d**2 - 3*d**3 - 4. Let y(w) = 4*g(w) - 6*u(w). Factor y(j).
2*j*(j - 1)*(j + 9)
Let y be (-40)/(-168) + 110/2310. Solve 0*i + y - 2/7*i**2 = 0 for i.
-1, 1
Suppose -196/5*t + 408/5 - 4/5*t**2 = 0. What is t?
-51, 2
Let l(r) be the second derivative of r**4/16 - 209*r**3/8 - 315*r**2/4 - 5071*r. Let l(y) = 0. What is y?
-1, 210
Let o(u) = -16*u + 15. Let q be o(5). Let s be -1 - 2 - ((-1640)/q)/(-8). Factor 0 + s*p**5 + 0*p - 4/13*p**3 + 0*p**2 + 2/13*p**4.
2*p**3*(p - 1)*(p + 2)/13
Let y(s) = s**3 - 2*s**2 + 10*s - 15. Let d be y(2). Suppose -17*z**5 + 2*z + z - 18*z**2 + 27*z**d + 9 - 6*z**3 - 7*z**5 + 0*z + 9*z**4 = 0. What is z?
-3, -1, 1
Suppose -2*q - 3*q - 3*d = -19, -d = -5*q + 7. Factor t**2 + 5*t**3 + 6*t**q + 18*t**2.
5*t**2*(t + 5)
Suppose -5*h = 4*p - 232, -28*h + 24*h + 47 = p. Determine b, given that 19600 + p*b + 4*b**2 - 264*b - 166*b - 193*b = 0.
70
Let u = 4038 + -2743. Factor -441*s + 15*s**3 + u*s**4 + 18*s**3 + 21*s**2 - 1292*s**4.
3*s*(s - 3)*(s + 7)**2
Let k(b) be the second derivative of b**6/10 - 123*b**5/10 - 21*b**4 + 41*b**3 + 249*b**2/2 - 2170*b. Factor k(x).
3*(x - 83)*(x - 1)*(x + 1)**2
Let z be ((-19665)/(-2875) - 7)/(1 - (-97)/(-95)). Let 2/5*d**3 + z*d**2 + 42/5 - 82/5*d = 0. What is d?
-21, 1
Factor -268*y**2 - 744657*y + 744137*y + 1 - 4*y**3 - 2 + 1.
-4*y*(y + 2)*(y + 65)
Let n be (15/(-18))/((-5)/(-30)) - -11. Let -n*s + 10*s**4 - 145*s + 55*s**3 + 0*s + 8176 - 8256 - 20*s**2 - 5*s**5 + 11*s = 0. What is s?
-2, -1, 2, 4
Let b(a) b