u) = 0 for u.
-1, 1
Let k be (-4)/(-18)*27/18. Let y(q) be the second derivative of 0 - k*q**4 + 0*q**3 + 9*q + 8*q**2. Find p, given that y(p) = 0.
-2, 2
Let q(d) be the first derivative of d**6/60 + 3*d**5/5 + 59*d**4/12 - 26*d**3 + 169*d**2/4 - 64*d - 10. Let b(t) be the first derivative of q(t). Factor b(m).
(m - 1)**2*(m + 13)**2/2
Factor -44/13 - 10/13*u**2 + 114/13*u.
-2*(u - 11)*(5*u - 2)/13
Let a(s) be the first derivative of 0*s + 3*s**4 - 16/5*s**5 + 0*s**2 + 4/3*s**3 + 98. Find j, given that a(j) = 0.
-1/4, 0, 1
Let c(j) be the first derivative of j**5/210 + j**4/63 - 13*j**3/63 + 10*j**2/21 - 92*j - 136. Let a(g) be the first derivative of c(g). Solve a(p) = 0 for p.
-5, 1, 2
Let p be -10 + 9 - (-1 + -4). Find l, given that 149*l**2 - 60*l**3 + 110*l**2 - 75*l**p + 32 + 29*l**2 + 240*l + 16 = 0.
-2, -2/5, 2
Factor 2/5*w**2 + 42/5*w + 216/5.
2*(w + 9)*(w + 12)/5
Let g(m) = m**2 - 10*m + 24. Let s(q) = -6*q - 6. Let v be s(-2). Let f be g(v). Factor -3*l**2 + 3/2*l**5 + f*l**4 + 9/2*l - 6*l**3 + 3.
3*(l - 2)*(l - 1)*(l + 1)**3/2
Let c = 496 - 484. Suppose -11*q = -c*q. Factor s - 1/4*s**2 + q.
-s*(s - 4)/4
Let g(n) = -3*n + 68. Let d be g(22). Let 59*b**2 + 21*b**4 - 56*b + 138 - 878*b**d - 157*b - 164*b**3 - 283*b**3 = 0. Calculate b.
-1, 2/7, 23
Let o(t) be the third derivative of 0*t + 0 - 11/70*t**6 - 2/21*t**5 + 207*t**2 + 5/588*t**8 + 0*t**4 - 12/245*t**7 + 0*t**3. Suppose o(l) = 0. Calculate l.
-1, -2/5, 0, 5
Let o(n) = -18*n**2 + 470*n + 13. Let m(i) = -7*i**2 - 3*i - 1. Let r(y) = -36*m(y) + 4*o(y). Solve r(x) = 0 for x.
-11, -2/45
Let l = -5143/3 - -1715. Let v(d) be the second derivative of 0 + 1/3*d**4 + 1/2*d**2 + l*d**3 + 15*d. Factor v(y).
(2*y + 1)**2
Let t(g) be the second derivative of g**6/1440 + g**5/160 - 137*g**3/6 + 10*g + 3. Let c(b) be the second derivative of t(b). Find h, given that c(h) = 0.
-3, 0
Let g = 10 - 10. Suppose 0 = 2*s - 3*m + 9, 5*s - 4*m = -1685 + 1673. Factor -1/3*i**3 + g + s*i + 0*i**2.
-i**3/3
Suppose x = 0, 0 = -5*c + 5*x + 21 + 19. Let 0*o - 45*o**2 - c - 5*o**3 - 100*o + 5*o**2 - 72 = 0. What is o?
-4, -2
Let r = 5305/18051 + 5/547. Let h = 2/3 - r. Factor -h*m**2 + 2/11*m**3 + 2/11*m + 0.
2*m*(m - 1)**2/11
Let m(a) be the second derivative of 5*a**4/12 + 83*a**3/2 - 25*a**2 + 2956*a. Let m(q) = 0. What is q?
-50, 1/5
Suppose 5*j - 1 = 34. Factor 2*s**3 + 3*s**4 + 6*s**3 + 6*s**2 - j*s**4 + 6*s**4.
2*s**2*(s + 1)*(s + 3)
Let u be (152/95)/(4/10). Factor k**u - 6*k + 8 + 15 + 13 - 41 + 6*k**3 + 4*k**2.
(k - 1)*(k + 1)**2*(k + 5)
Let w(y) be the third derivative of -y**7/210 - 59*y**6/40 - 289*y**5/20 - 1207*y**4/24 - 86*y**3 + 3309*y**2 - 1. Let w(h) = 0. What is h?
-172, -3, -1
Let u(l) be the third derivative of l**7/280 + l**6/32 + l**5/10 + l**4/8 - 2005*l**2. Factor u(j).
3*j*(j + 1)*(j + 2)**2/4
Let l = -113 + 117. Suppose -3*o + l*t - 7 - 2 = 0, -t + 7 = 4*o. Solve 8 + o - 5*q**2 - 4 + 5 - 5*q = 0.
-2, 1
Let y = 81/9374 + 767777/103114. Suppose -84/11 + y*f + 2/11*f**2 = 0. Calculate f.
-42, 1
Let j(h) be the second derivative of -h**5/25 - 79*h**4/15 + 2*h**3/15 + 158*h**2/5 + 3*h - 202. Factor j(n).
-4*(n - 1)*(n + 1)*(n + 79)/5
Let k be (-1 + -1)*(-1 + 5 + -62). What is r in -156*r**3 - 234*r**2 + 306*r**2 - 27*r**4 + 24 + k*r - 29*r**4 = 0?
-3, -1/2, -2/7, 1
Let k be (-3)/(-27)*-10 - (-39168)/30294. Determine z so that -7442/11 - k*z**2 - 244/11*z = 0.
-61
Let 0 + 1215/8*s + 33*s**4 + 867/4*s**3 + 336*s**2 + 3/8*s**5 = 0. Calculate s.
-81, -5, -1, 0
Let x = 1487 - 1484. Let f be (12/(-9))/(3 + -1 - x). Solve 1/3*a**3 + f - a**2 + 0*a = 0.
-1, 2
Let y(h) be the third derivative of h**7/1680 + h**6/120 - h**5/16 - h**4/2 - 2*h**3/3 - 157*h**2. Let t(q) be the second derivative of y(q). Factor t(p).
3*(p - 1)*(p + 5)/2
Let h(b) = 6*b**4 + 3*b**2 - 30*b + 7. Let n(x) = x**4 - x**3 - x - 1. Let v = -230 + 102. Let m = v - -132. Let a(c) = m*h(c) - 28*n(c). Factor a(y).
-4*(y - 7)*(y - 1)**2*(y + 2)
Let j(r) = -r**2 - 159*r - 6072. Let g(l) = l**2 + 160*l + 6068. Let q(h) = -9*g(h) - 12*j(h). Factor q(s).
3*(s + 78)**2
Let k be 0 + (-2)/(-3) - 12832/96. Let s be ((-28)/k)/((-6)/(-57)). Let -3/4 + y - 1/4*y**s = 0. Calculate y.
1, 3
Find p such that -7/4*p**3 + 0 - 42*p + 295/2*p**2 = 0.
0, 2/7, 84
Let o(z) = -z**4 + 2*z**3 + 2*z**2 + 6*z. Let y(a) = -2*a**4 - 10*a**3 + 2*a**2 - 8*a. Let c(t) = 2*o(t) + y(t). What is n in c(n) = 0?
-2, -1/2, 0, 1
Let h = 1500/133 - 160/19. Let p = h + 0. Suppose -50/7 + p*w - 2/7*w**2 = 0. What is w?
5
Suppose -1029*d = -997*d - 128. Let k(h) be the first derivative of 1080*h + 15 - 5/4*h**d + 30*h**3 - 270*h**2. Suppose k(a) = 0. Calculate a.
6
Suppose -248*j + 1082 - 9194 = -536*j - 219*j. Let 28/3*l**2 - 100/3*l - j = 0. Calculate l.
-3/7, 4
Let k = 3215/1848 + -109/168. Let y(w) = -w**2 - 4*w + 3. Let o be y(-4). Find j, given that 756/11*j**o + k*j + 6/11 - 288/11*j**2 - 486/11*j**4 = 0.
-1/9, 1/3, 1
Factor 0 - 72/7*g + 2/7*g**2.
2*g*(g - 36)/7
Let x = 10747/29 - 53677/145. Let 16/5 + 12/5*m + x*m**2 = 0. Calculate m.
-4, -2
Let a(c) be the second derivative of -c**7/21 + 2*c**6/15 + 29*c**5/10 + 23*c**4/3 - 20*c**3/3 - 56*c**2 + 2724*c. Find w, given that a(w) = 0.
-2, 1, 7
Let s be 30*(-58)/(-7830)*21. Suppose 43/3*o**2 + 53/3*o**3 + 0 - s*o - 4/3*o**4 = 0. Calculate o.
-1, 0, 1/4, 14
Suppose 30*w = 36*w - 114. Suppose 3 = -a, -8*c - 5*a = -10*c + w. Factor -1/4*v**c + 1/2*v + 0.
-v*(v - 2)/4
Let b be ((10/(-30))/(-1))/((-2)/(-90)). Let a be 4*(-3)/(-3) + (-20)/b. Factor 8/3*d**3 - a*d + 0*d**2 - 4/3 + 4/3*d**4.
4*(d - 1)*(d + 1)**3/3
Let z(o) be the first derivative of 189 - 27*o**2 - 8/3*o**3 - 36*o + 5/2*o**4. Factor z(u).
2*(u - 3)*(u + 1)*(5*u + 6)
Let a = 535273/356850 - -1/178425. Solve -45/2*i**2 - 6 + 39/2*i + 21/2*i**3 - a*i**4 = 0 for i.
1, 4
Let b(a) = 6*a**2 + 2187*a - 401814. Let o(t) = t**2 - t + 6. Let j(h) = b(h) - 9*o(h). Factor j(s).
-3*(s - 366)**2
Find r such that 1701 - 123/7*r**2 - 1/7*r**3 - 513*r = 0.
-63, 3
Suppose -2195*c - 98*c**2 + 7898*c - 343020 - 5660 + 5385*c + 35048 = 0. What is c?
396/7
Factor -22896/11*h**2 + 426/11*h**3 + 0 - 2/11*h**4 + 22472/11*h.
-2*h*(h - 106)**2*(h - 1)/11
Let s(t) be the first derivative of -t**6/120 + t**5/60 + t**4/12 + t**2 + 28*t - 64. Let h(r) be the second derivative of s(r). Factor h(o).
-o*(o - 2)*(o + 1)
Let t(i) be the first derivative of -i**3/21 - 55*i**2/7 - 109*i/7 - 1254. Suppose t(w) = 0. Calculate w.
-109, -1
Let z(f) = -2*f**3 - 2072*f**2 - 2068*f + 10. Let y(i) = -i**3 - 2072*i**2 - 2068*i + 15. Let a(g) = -2*y(g) + 3*z(g). Solve a(w) = 0 for w.
-517, -1, 0
Determine n, given that 48*n + 4*n**2 - 18*n**2 - 44 + 10*n**2 = 0.
1, 11
Let n(j) be the second derivative of 1/4*j**3 - 65*j + 1/48*j**4 + 9/8*j**2 + 0. Suppose n(y) = 0. What is y?
-3
Suppose -3*i - 5*a + 186 = 0, -i - 297 = -6*i - 4*a. Factor -25*j**3 - 17*j**2 + 7*j**2 + 25*j + 37 + 30 - i.
-5*(j - 1)*(j + 1)*(5*j + 2)
Let i be (6 - (-642)/(-108))/(2/(-4282)). Let k = -237/2 - i. Suppose 0 + 0*n - 2/3*n**3 - k*n**2 = 0. Calculate n.
-2/3, 0
Let d(k) = -k**3 - 11*k**2 - 2*k - 22. Let t be d(-11). Suppose -5*a + p + p + 112 = t, 0 = 4*a + 4*p - 112. Factor 4*m**4 - 263 - a*m + 263 - 28*m**2.
4*m*(m - 3)*(m + 1)*(m + 2)
Let f(k) = -335*k + 19097. Let p be f(57). Solve 1/3 - 4*q + 12*q**p = 0 for q.
1/6
Let q(o) be the first derivative of 0*o + 1/240*o**5 + 0*o**3 - 1/16*o**4 + 17*o**2 - 31. Let r(g) be the second derivative of q(g). Let r(y) = 0. What is y?
0, 6
Let w(v) = -v**2 + 35*v + 46. Let n be w(37). Let x be (-48)/(-18)*7/n*-3. Factor -2/3*s**x + 0*s + 0 - 1/3*s**3.
-s**2*(s + 2)/3
Let 540/7*c - 1458/7 - 50/7*c**2 = 0. Calculate c.
27/5
Factor -8*i**2 + 31*i**2 - i**4 - 11664 + 24*i**3 - 2592*i + 49*i**2.
-(i - 18)**2*(i + 6)**2
Find v such that 14/9*v**3 + 38/9*v**2 - 4 - 2/9*v**4 - 14/9*v = 0.
-2, -1, 1, 9
Suppose 29*w - 2*w = 54. Factor -156*f**3 - 192*f - 5*f**5 - 288*f**w - 7*f**4 - 29*f**4 + 7*f**5 - 5*f**5.
-3*f*(f + 2)**2*(f + 4)**2
Let c(x) be the first derivative of -7*x**5 - 1565*x**4/4 - 5485*x**3 - 48335*x**2/2 + 15190*x - 13813. Solve c(t) = 0.
-31, -7, 2/7
Let q(s) be the second derivative of s**4/4 - 1077*s**3/2 + 8*s - 23. Factor q(d).
3*d*(d - 1077)
Factor -90*d**3 + 567*d + 14*d