at j(h) = 0.
-2/3, 97
Let l(o) be the first derivative of 3*o**4/4 - 813*o**3 + 5239. Determine f, given that l(f) = 0.
0, 813
Let s = 27793/9730 - -1/1390. Let p be (-1120)/(-128) + -10 - (-67)/28. Find y such that 20/7*y**2 + s*y**3 - 12/7*y**4 - 20/7*y - p = 0.
-1, -1/3, 1, 2
Solve 4/7*v**5 + 38/7*v**2 + 0 - 18/7*v**4 + 0*v**3 - 24/7*v = 0 for v.
-3/2, 0, 1, 4
Let f = 11266531/278186 + 1/139093. Solve 243/8 + 3/8*q**4 - 9/2*q**3 + 81/4*q**2 - f*q = 0.
3
Let s(r) = -432*r**3 + 2*r**2 + 3*r + 3. Let c be s(-1). Factor 8192 - 2*i**3 + 169*i**2 - c*i - 73*i**2 - 1102*i.
-2*(i - 16)**3
Let k(f) = f**3 - 3*f - 3*f - 17*f**2 + 18 + 5*f + 2. Let l be k(17). Factor -33 + 50 + 12*h**2 - 4*h**l - 33.
-4*(h - 2)**2*(h + 1)
Let d be -2 + (-7)/(-3) + 175/15. Let r be 6/(-36) + 2/d. Factor 0*q + 2/5*q**4 + 4/5*q**3 + 2/5*q**2 + r.
2*q**2*(q + 1)**2/5
Let f(x) be the second derivative of x**6/10 + 108*x**5/5 + 976*x**4 - 46080*x**3 + 614400*x**2 + 291*x + 3. Factor f(w).
3*(w - 8)**2*(w + 80)**2
Let j(s) be the second derivative of -s**5/40 - 81*s**4/4 - 6561*s**3 - 1062882*s**2 + 2*s + 339. Let j(q) = 0. What is q?
-162
Let b be (-8)/4 + 4 + 2. Suppose f + 1 = b*j, 3 = -f + j + 5. Factor 25*z**3 - 3*z**2 - 6*z**3 - 15*z - 10*z**3 - 9 - 6*z**f.
3*(z - 3)*(z + 1)**2
Let b(t) be the first derivative of 0*t**2 + 32/5*t - 2/15*t**3 + 3. Factor b(w).
-2*(w - 4)*(w + 4)/5
Let r = 255 + -253. Let s(w) be the third derivative of 0*w**3 + 8*w**r + 1/60*w**5 + 0 + 1/12*w**4 + 0*w. Find h, given that s(h) = 0.
-2, 0
Let a(h) = 4*h**3 - 2*h**4 - 1 + 6*h**2 - 12*h**3 - 3 + 4. Let f(v) = 6*v**4 + 25*v**3 - 17*v**2. Let o(l) = -7*a(l) - 2*f(l). Factor o(r).
2*r**2*(r - 1)*(r + 4)
Suppose 162 = 2*m - 0*l + 3*l, 5*m - 405 = 3*l. Factor 3*n**3 - 4*n - 14*n + m*n**2 - 48*n**2 - 49*n**2 - n**3.
2*n*(n - 9)*(n + 1)
Let o(m) be the third derivative of 1/270*m**6 - 1/54*m**4 + 0*m**5 + 0*m**3 + 0 + m + 9*m**2. Find n such that o(n) = 0.
-1, 0, 1
Solve 79608/7*m**2 - 2883/7*m**3 + 432 + 31140/7*m = 0.
-6/31, 28
Let n be (-1)/(1 - 31/28 - 0*(-80)/(-320)). What is a in -n*a**4 - 224/3 - 880/3*a - 72*a**2 + 412/3*a**3 = 0?
-1, -2/7, 2, 14
Factor 569*m**2 + m**4 - 82 + 4 - 45*m**3 + 709 + 251 - 1407*m.
(m - 21)**2*(m - 2)*(m - 1)
Let t(i) = -2*i**2 + 8*i + 7. Let v be t(4). Suppose -v*u + 80 = 3*u. Factor -29*z**4 + u*z + 16*z**2 + 31*z**4 + 10*z**3 + 0*z.
2*z*(z + 1)*(z + 2)**2
Let k be 5733/(-252) + 26 - -8. Factor -k*g - 675/8*g**2 - 3/8.
-3*(15*g + 1)**2/8
Suppose 10*q = -158 + 238. Suppose -t + 5 = 2*y, t = -6*y + 3*y + q. Let -1/6*d**y + 0 + 0*d + 0*d**2 = 0. Calculate d.
0
Let u = -539/4 - -135. Let y(w) be the first derivative of 0*w - 18 - 1/15*w**3 + 0*w**2 - u*w**4 - 4/25*w**5. Determine t, given that y(t) = 0.
-1, -1/4, 0
Factor 424/3*z + 526/3*z**2 + 101/3*z**3 - 1/3*z**4 + 0.
-z*(z - 106)*(z + 1)*(z + 4)/3
Let p = 124 - 82. Suppose 0 = -15*r + r + p. Determine i so that 3*i**5 - 8*i**5 - 2*i**r + 7*i**5 = 0.
-1, 0, 1
Let t(s) be the first derivative of 2*s**6/9 - 52*s**5/5 + 25*s**4 - 148*s**3/9 - 1391. Factor t(p).
4*p**2*(p - 37)*(p - 1)**2/3
Let d(z) be the first derivative of -7*z**6/30 + 17*z**5/5 - 49*z**4/3 + 16*z**3 - 49*z**2/2 - 77. Let j(o) be the second derivative of d(o). Factor j(t).
-4*(t - 4)*(t - 3)*(7*t - 2)
Let x = 13 + -10. Factor -18*g**x - 3*g**5 - 9 + 6*g - 6*g**2 - 11986*g**4 + 12001*g**4 + 15*g.
-3*(g - 3)*(g - 1)**3*(g + 1)
Suppose -3*q + 20 = 5. Let r(v) = 1853 - v**2 + 2*v**2 - 1854. Let g(a) = -8*a**2 + 6*a + 5. Let b(m) = q*r(m) + g(m). Solve b(w) = 0 for w.
0, 2
Let u = 7430/11127 + -4/3709. Factor 8/9 + u*w - 2/9*w**2.
-2*(w - 4)*(w + 1)/9
Let j = 1271395/77054 - 2/38527. Factor j*h - 3/4*h**2 - 363/4.
-3*(h - 11)**2/4
Let m = 13 - 11. Suppose -5 = 3*c - 14. Factor 70*f**3 + f**2 - 67*f**3 - 3*f**m - c*f**4 + 8*f**2.
-3*f**2*(f - 2)*(f + 1)
Let g be (-134)/201 + 136/(-3). Let w = -44 - g. Factor 9/5 + 33/5*v + 3/5*v**3 + 19/5*v**w.
(v + 3)**2*(3*v + 1)/5
Let a(x) be the third derivative of 9*x**8/2240 - x**7/20 + 5*x**6/48 - x**5/10 + 5*x**4/12 - 60*x**2. Let z(g) be the second derivative of a(g). Factor z(y).
3*(y - 4)*(3*y - 1)**2
Let x(a) be the second derivative of a**5/70 - 37*a**4/42 + 10*a**3/3 - 5262*a. Factor x(w).
2*w*(w - 35)*(w - 2)/7
Let v(y) be the first derivative of -y**5/15 - 23*y**4/3 - 1058*y**3/3 + y**2/2 + 16*y - 150. Let r(b) be the second derivative of v(b). Solve r(a) = 0 for a.
-23
Suppose 0 = 10*d + 89 - 119. Let b be (d + (-9 - -6))*1/(-2). Factor -1/6*k**3 + b + 0*k + 1/6*k**2.
-k**2*(k - 1)/6
Let j be ((-66)/66)/((-2)/184 - 0). Factor -49*f**2 - j*f + 4*f**4 + 20*f**3 - 7*f**2 + 8*f - 12*f**2 + 0*f**2.
4*f*(f - 3)*(f + 1)*(f + 7)
Let j(d) be the third derivative of -3 + 0*d + 7*d**2 + 5/9*d**3 - 1/180*d**5 - 1/24*d**4. Suppose j(r) = 0. What is r?
-5, 2
Let f be (1/(17/102)*1/(-5))/(1050/(-500)). Find q such that f*q**2 - 220/7 - 216/7*q = 0.
-1, 55
Let d = 186 + -924/5. Let j = 789 - 3943/5. Factor 4/5*u - j*u**2 + d.
-2*(u - 3)*(u + 1)/5
Let l = -213 - -229. Let z be 12/(-96) - (-2)/l. Determine j, given that z + 1/5*j**2 + 2/5*j = 0.
-2, 0
Let l(y) = -y**4 + y**2 + y - 1. Let h(p) = 6*p**4 - 12*p**3 + 6*p**2 + 9*p - 9. Let g = 271 + -274. Let j(x) = g*l(x) - h(x). Factor j(m).
-3*(m - 2)**2*(m - 1)*(m + 1)
Let v(p) be the second derivative of 8/11*p**3 + 23/11*p**2 - 1 + 15*p + 1/66*p**4. Factor v(f).
2*(f + 1)*(f + 23)/11
Let m(v) = 20406*v + 40815. Let r be m(-2). Determine n so that -9*n**3 + 48/5*n + r*n**2 - 3/5*n**5 + 21/5*n**4 - 36/5 = 0.
-1, 1, 2, 3
Factor 2535752/5 + 4504/5*o + 2/5*o**2.
2*(o + 1126)**2/5
Let f = -232064/13 + 17856. Suppose -6/13 - f*i**4 - 212/13*i**2 - 62/13*i - 256/13*i**3 = 0. What is i?
-3, -1/2, -1/4
Let w(z) be the first derivative of 32*z + 0*z**2 - 1/2*z**4 + 24 - 3/20*z**5 - 1/2*z**3. Let s(r) be the first derivative of w(r). Factor s(d).
-3*d*(d + 1)**2
Let p(o) be the second derivative of -o**4/48 - 323*o**3/6 - 4977*o. What is q in p(q) = 0?
-1292, 0
Let w be (0 - 32/6)/((-16)/96). Suppose 4*z + 28 = 3*x, 3*z + w = 7*x - 2*x. Find g, given that -5*g**2 - 83 + 5*g**x + 83 = 0.
-1, 0, 1
Let d(l) be the first derivative of -2*l**3/27 + 302*l**2/9 + 202*l/3 - 878. What is r in d(r) = 0?
-1, 303
Let d(p) = -6*p**2 + 2*p - 8. Let m = 128 - 105. Suppose m*s + 25 = 18*s. Let k(i) = -6*i**2 + 3*i - 7. Let n(f) = s*d(f) + 6*k(f). Factor n(z).
-2*(z - 1)*(3*z - 1)
Let h(d) = 3*d**2 + 3502*d - 3525. Let t(r) = -7*r**2 - 8172*r + 8225. Let p(v) = 23*h(v) + 10*t(v). Factor p(c).
-(c - 1)*(c + 1175)
Suppose 0 = -5*l + 7*l - 10. Factor -3*t**4 + 2358*t**2 - 2364*t**2 + l*t**3 - 10*t**3 - 4*t**3.
-3*t**2*(t + 1)*(t + 2)
Let m(q) be the third derivative of -q**7/42 - 19*q**6/24 + 55*q**5/12 + 1415*q**4/24 + 175*q**3 - 4963*q**2. Determine f so that m(f) = 0.
-21, -2, -1, 5
Let g(i) = i**2 + 1. Let k(z) = 8*z**2 - 4*z - 4. Let u be ((-340)/(-34))/((-5)/(-2)). Let r(m) = u*g(m) - k(m). Solve r(a) = 0 for a.
-1, 2
Find d such that -140*d**2 - 5004 - 5*d + 36*d**4 + 4988 + 16*d**5 - 40*d**3 - 91*d = 0.
-2, -1, -1/4, 2
Suppose -34 + 22 = -4*g. Determine m, given that 68*m**2 + 7*m**2 + 1 - 63*m + 3258*m**3 - g*m**4 - 3267*m**3 - 1 = 0.
-7, 0, 1, 3
Let b(j) = 8*j**2 - 518*j + 1008. Let c(u) = 3*u**2 - 5*u. Let q(y) = -2*b(y) + 4*c(y). Solve q(d) = 0.
2, 252
Let c(x) be the first derivative of -3*x**6/2 + 291*x**5/5 - 69*x**4/4 - 297*x**3 + 435*x**2 - 192*x + 10736. Solve c(p) = 0 for p.
-2, 1/3, 1, 32
Let c(u) be the first derivative of 5*u**4/4 - 55*u**3 + 34. Factor c(y).
5*y**2*(y - 33)
Let a(z) be the second derivative of -z**7/6300 + 13*z**6/600 + 27*z**4/2 - 49*z + 2. Let x(i) be the third derivative of a(i). Solve x(g) = 0.
0, 39
Let c(z) be the second derivative of -z**4/12 + 43*z**3/3 - 85*z**2/2 + 975*z - 1. Factor c(y).
-(y - 85)*(y - 1)
Let h(t) = t**2 + 3. Let j(g) be the third derivative of g**5/15 + 7*g**4/24 + 19*g**3/6 - 18*g**2 - g. Let f(m) = 3*h(m) - j(m). Let f(y) = 0. What is y?
-5, -2
Let t(m) be the third derivative of 0*m**4 + 0*m - 10/3*m**3 + 0 - 1/1620*m**6 + 1/180*m**5 + 10*m**2. Let y(c) be the first derivative of t(c). Factor y(q).
-2*q*(q - 3)/9
Suppose 5*p = 32 + 1408. Suppose -7*d - d + p = 0. Let d*h + 16*h**4 + 7*h**2 + 20*h**5 - 55*h**2 - 8*h**3 - 16*h