) = 0?
-1, 904
Factor -193*y**2 - 15*y**4 + 79*y**2 + 93*y**2 - 61*y**3 - y**5 + 98*y.
-y*(y - 1)*(y + 2)*(y + 7)**2
Let h(t) be the first derivative of -t**6/1260 - t**5/70 - 5*t**4/84 - t**3/9 - 16*t**2 + 31. Let k(c) be the second derivative of h(c). Factor k(r).
-2*(r + 1)**2*(r + 7)/21
Let m(c) be the second derivative of -c**7/5040 - c**6/720 + c**4/4 + 11*c**3/2 + 21*c. Let q(f) be the third derivative of m(f). Factor q(n).
-n*(n + 2)/2
Let q = -5399 + 5392. Let x(o) = 11*o**3 + 6*o**2 - 11*o - 6. Let s(h) = -7 + 16*h - 16*h**3 + 16 + 4*h**2 - 13*h**2. Let c(p) = q*x(p) - 5*s(p). Factor c(w).
3*(w - 1)*(w + 1)**2
Suppose -4*q - 2*a + 20 = 0, -q + a + 0 - 1 = 0. Factor q*d**4 - 18*d**3 - 12*d**3 + 27*d**3 + 27*d**2 - 15*d**3.
3*d**2*(d - 3)**2
Let q be (-5)/(-2) - (-5)/10. Suppose -25*w - 21*w + 736 = 0. Factor 4*h**3 + w*h - 20*h - h**3 - 2*h**3 + q*h**2.
h*(h - 1)*(h + 4)
Let a = 85364 - 85364. Factor 0 + 14/15*l**4 + 2/5*l**5 + 4/15*l**3 + a*l**2 + 0*l.
2*l**3*(l + 2)*(3*l + 1)/15
Let y(b) be the second derivative of -178215*b**4/4 + 1090*b**3 - 10*b**2 - 8*b - 188. Factor y(a).
-5*(327*a - 2)**2
Let w = 204976/17 - 43610384/3621. Let s = w + -24/71. Solve -s*d - 20/3*d**3 - 5 + 25*d**2 = 0.
-1/4, 1, 3
Let t = -45932 - -275627/6. Factor 5/2*j**2 - t*j**4 - 5/2*j**5 + 5/3*j - 5/2*j**3 + 0.
-5*j*(j + 1)**3*(3*j - 2)/6
Let j(g) = -3*g**3 - 5*g**2. Let c be j(-2). Factor 1622*k**5 - k**3 + 34*k**2 - 269*k**3 + 528*k**c - 1590*k**5.
2*k**2*(k + 17)*(4*k - 1)**2
Factor -3/4*u**2 - 342 - 345/2*u.
-3*(u + 2)*(u + 228)/4
Let c(q) be the second derivative of 0*q**2 - 4/3*q**3 + 25*q + 0 - 1/21*q**4. Factor c(o).
-4*o*(o + 14)/7
Factor 2988*i**2 - 207220*i**3 + 207260*i**3 + 527*i**2.
5*i**2*(8*i + 703)
Let j be -5 + (-13)/((-26)/(-255)). Let b = j + 133. Factor -b*x**3 + 1/2*x - 1/2 + 1/2*x**2.
-(x - 1)**2*(x + 1)/2
Let z(t) be the second derivative of -t**7/70 + 31*t**6/50 - 561*t**5/100 - 863*t**4/20 - 68*t**3/5 + 1734*t**2/5 - 4*t - 81. Find u, given that z(u) = 0.
-2, 1, 17
Let g = -115893 + 115933. Determine j so that -5/2*j**4 + g*j**3 - 75/2*j**2 + 0 + 0*j = 0.
0, 1, 15
Let k(s) be the second derivative of -1/60*s**5 + 6*s**2 + 36*s - 11/36*s**4 + 0 - 4/3*s**3. Let k(f) = 0. Calculate f.
-6, 1
Let q be 49/((-6370)/(-52)) - ((-8)/(-5))/4. Factor 14*p**4 + 0*p + 32/3*p**2 + q + 64/3*p**3 + 3*p**5.
p**2*(p + 2)*(3*p + 4)**2/3
Suppose -j - 2*c + 8 = -5*c, 0 = -j - c + 4. Factor 12 - j*g**2 - 10*g - 20 + 3.
-5*(g + 1)**2
Let 225/2 - 1/6*b**2 - 65/3*b = 0. Calculate b.
-135, 5
Let b(x) be the second derivative of -5*x**4/72 - 2435*x**3/18 - 1185845*x**2/12 - 2*x + 318. What is h in b(h) = 0?
-487
Let l(o) = 2*o**3 + o**2 - 3*o - 1. Let p(j) = -j**3 - 7*j**2 + 14*j - 5. Let t(h) = l(h) + p(h). Factor t(d).
(d - 3)*(d - 2)*(d - 1)
Let l(q) be the first derivative of -q**3 + 234*q**2 - 465*q + 2921. What is n in l(n) = 0?
1, 155
Suppose 89*n + 55*n + 188*n**2 - 575*n**3 + 1160*n**3 - 525*n**3 + 16 = 0. What is n?
-2, -1, -2/15
Let u(c) be the second derivative of 5*c**4/12 - 155*c**3/3 + 3*c - 65. Suppose u(s) = 0. What is s?
0, 62
Let n = 4086 - 4082. Let v(f) be the second derivative of 0*f**3 - 1/5*f**5 + 0*f**n + 0 - 9*f + 0*f**2. Determine y, given that v(y) = 0.
0
Let i = 1/50 - 2/225. Let h(s) be the second derivative of -2/9*s**2 + 0*s**4 + 18*s + 0 + 1/9*s**3 - i*s**5. Factor h(y).
-2*(y - 1)**2*(y + 2)/9
Let m be (-55)/(-110) - -2*(-4)/270. Let t = m + 4/135. Solve -1 + t*h**3 - 2*h**2 + 5/2*h = 0 for h.
1, 2
Suppose 24*m = -6*m - 0*m. Factor -27/4*r + 3/4*r**3 + 6*r**2 + m.
3*r*(r - 1)*(r + 9)/4
Solve -2/3*h - h**2 + 0 - 1/3*h**3 = 0.
-2, -1, 0
Let s(k) = -30*k**4 + 115*k**3 - 102*k**2 - 22*k. Let g = 9 + -7. Let l(p) = -60*p**4 + 230*p**3 - 205*p**2 - 45*p. Let w(o) = g*l(o) - 5*s(o). Factor w(h).
5*h*(h - 2)**2*(6*h + 1)
Solve -21 + 712*u**5 + 5*u**4 - 75 - 713*u**5 - 257*u**2 + 63*u**3 + 8*u**4 + 278*u = 0.
-6, 1, 16
Let j(h) be the third derivative of -h**6/60 + 7*h**5/30 + 7*h**4/3 - 160*h**3/3 - 4069*h**2. Find c such that j(c) = 0.
-5, 4, 8
Let i(c) = 7*c**4 + 1164*c**3 + 1174*c**2 - 1176*c - 1199. Let p(v) = 8*v**4 + 1163*v**3 + 1175*v**2 - 1177*v - 1204. Let t(a) = -7*i(a) + 6*p(a). Factor t(r).
-(r - 1)*(r + 1)**2*(r + 1169)
Factor 11/7*r**3 + 1/7*r**4 - 44/7*r + 2*r**2 - 72/7.
(r - 2)*(r + 2)**2*(r + 9)/7
Suppose -27*o = 62 - 35. Let w be ((-16)/(-60) - 0)/(o/(-25)). Suppose 1/6*i**5 + 5/3*i**4 + 40/3*i + 40/3*i**2 + w*i**3 + 16/3 = 0. What is i?
-2
Suppose 2458 + 5914 = 52*t. Factor -69*l - 77*l + t*l + l**2.
l*(l + 15)
Let i(y) = -2*y**2 - 12*y + 16. Let m(k) = -k**2 + k. Let s(x) = i(x) - 4*m(x). Let n be s(7). Let 0*v - 4/7*v**4 + 2/7*v**3 + 0 + 2/7*v**n = 0. Calculate v.
-1/2, 0, 1
Let k = 32219/226317 + 16/32331. Factor -8/7 + k*r**3 - r**2 + 2*r.
(r - 4)*(r - 2)*(r - 1)/7
Let u be 4/6 + 7/3. Suppose 4*p = 528 - 488. Factor 27*r**u + 3*r - p*r**2 + 0*r**2 + 3*r**2 - 11*r**2 - 12*r**4.
-3*r*(r - 1)**2*(4*r - 1)
Let z(x) be the second derivative of -5*x**4/12 + 235*x**3/6 - 780*x**2 - 2966*x. Determine k, given that z(k) = 0.
8, 39
Suppose 2*a + 2*a - 8 = 0. Factor -15*c + 37*c - 20*c + c**a.
c*(c + 2)
Let r(d) be the third derivative of -d**7/840 - 7*d**6/80 - 19*d**5/60 + 7*d**4/4 + 40*d**3/3 + 8654*d**2. Factor r(h).
-(h - 2)*(h + 2)**2*(h + 40)/4
Let j(o) be the third derivative of -153*o**2 + 0 + 19/8*o**3 + 0*o + 1/80*o**5 - 5/8*o**4. Determine q, given that j(q) = 0.
1, 19
Suppose -6*c + 8 = -3*w - 10*c, 20 = -4*c. Factor w*b**3 - 93*b + 27 - 6*b**3 + 5*b**3 + 21 + 42*b**2.
3*(b - 1)**2*(b + 16)
Find l, given that -86*l**2 - 28*l**3 - 18*l**3 - 2*l**4 - 27*l - 125*l - 118*l**2 + 44*l**2 = 0.
-19, -2, 0
Let w be 188/4*(-5)/(-190). Let l = w + 1/76. Determine k so that 0*k**2 - 15/4*k + 5/2 + l*k**3 = 0.
-2, 1
Let 200 - 51*m + 1/4*m**2 = 0. Calculate m.
4, 200
Let z(c) = -7*c**3 + 9*c**2 + 4*c - 15. Let p(b) = 12*b**3 - 16*b**2 - 8*b + 29. Let s = 25 - 22. Let m(r) = s*p(r) + 5*z(r). Find d, given that m(d) = 0.
-2, 2, 3
Let r(d) be the first derivative of 4*d - 4*d**2 + 13/4*d**4 - 11/3*d**3 + 7/5*d**5 - 5/6*d**6 + 92. Let r(f) = 0. Calculate f.
-1, 2/5, 1, 2
Let p = -3 - -3. Let n be (p - (-1 - -1))/1. Solve -4/5*y + n + 4/5*y**3 - 4/5*y**2 + 4/5*y**4 = 0 for y.
-1, 0, 1
Let p = 317347 - 309133. Let -222*n - p - 3/2*n**2 = 0. What is n?
-74
Suppose 122 = -174*t + 644 - 0. Let r be 1/3 - 13/(-15). Find n such that -9/5*n**2 - r*n + 0 - 3/5*n**t = 0.
-2, -1, 0
Let x(q) be the second derivative of q**7/1365 + q**6/260 + q**5/195 - 6*q**2 - 27*q. Let d(z) be the first derivative of x(z). Factor d(i).
2*i**2*(i + 1)*(i + 2)/13
Let t be ((-3126)/(-126))/(13/(-975)). Let r = t + 1867. Find j such that 8/7*j + r*j**2 + 0 + 36/7*j**3 = 0.
-1, -2/9, 0
Suppose -239*r = -242*r + 4512. Let k be r/1300 - 26/325. Factor 6/13*x + 10/13*x**3 - 2/13*x**4 + 0 - k*x**2.
-2*x*(x - 3)*(x - 1)**2/13
Let r(z) = 12*z**3 - 728*z**2 + 2219*z - 1575. Let y(o) = 23*o**3 - 1457*o**2 + 4416*o - 3150. Let q(l) = 7*r(l) - 3*y(l). Factor q(w).
5*(w - 45)*(w - 1)*(3*w - 7)
Let q be (14003/38)/((-1)/(-2)). Suppose -q + 3*i**2 - 22*i - 5*i + 0*i + 797 = 0. Calculate i.
4, 5
Let i(v) be the first derivative of -2/3*v**3 + 6*v**2 - 16*v + 21. Suppose i(q) = 0. What is q?
2, 4
Let n = 113 - 107. Suppose -u + 4*u - n = 0. Factor 3 + q**u - 4 + 80*q**4 - 8*q**3 - 77*q**4 + 5*q**2.
(q - 1)**3*(3*q + 1)
Let x(j) = -21*j**2 + 67*j - 192. Let d(f) = -5*f**2 + 17*f - 48. Let g be (-4)/(-1) + 22 + 1 - 1. Let u(w) = g*d(w) - 6*x(w). Suppose u(s) = 0. Calculate s.
4, 6
Let m be ((24/195)/(488/(-3050)))/((-6)/39). Determine y so that 0*y + 46/11*y**3 + 2/11*y**m + 0 + 20/11*y**4 + 28/11*y**2 = 0.
-7, -2, -1, 0
Let o(y) be the second derivative of -3/4*y**5 + 0 + 5/2*y**3 + 10*y**2 + 1/6*y**6 + 68*y - 25/12*y**4. Determine w, given that o(w) = 0.
-1, 1, 4
Let c = -65 + 82. Suppose -3*p - 5 = 2*i, 5*p + 0*p = i - c. Factor -49 - 9*l**2 + 9*l**2 - l**i - 14*l.
-(l + 7)**2
Let z(d) = -10*d**2 - 20*d + 82. Let o be z(9). Let j = 6369/7 + o. Suppose 4/7*v**2 + 0 + 5/7*v**4 + 4/7*v - j*v**3 = 0. Calculate v.
-2/5, 0, 1, 2
Factor -13112*c - 17421*c - 928*c**2 + 109512 - 2*c**3 - 15286*c - 7065*c - 2*c**3.
-4*(c - 2)*(c + 117)**2
Let d = -31601/249 + 10672/83. Let w =