- 25*i**2 = 0.
45
Factor -40*n**2 - 292*n**2 - 325*n**2 - 2100*n + n**3 - 2104 + 45*n**2 + 90*n**2.
(n - 526)*(n + 2)**2
Let u be ((5/(-6))/(-5))/(12 - (-27 + (-18819)/(-486))). Let g = 3/13 - 2/65. Factor -8/5*o + u - g*o**4 + 6/5*o**2 + 0*o**3.
-(o - 1)**3*(o + 3)/5
Factor -3780 - 129*x**3 + 59*x**3 + 864*x + 7*x**2 + 11*x**2 - 3996 + 67*x**3.
-3*(x - 12)**2*(x + 18)
Find j such that 1/2*j**2 + 44 + 19/2*j = 0.
-11, -8
Let d(t) be the first derivative of -3/2*t**2 + 0*t - 2 + 1/3*t**3. Suppose d(y) = 0. What is y?
0, 3
Let g(q) be the third derivative of -q**8/840 - q**7/84 - 7*q**6/180 - q**5/20 - 52*q**3/3 + 33*q**2. Let o(m) be the first derivative of g(m). Factor o(w).
-2*w*(w + 1)**2*(w + 3)
Determine t so that 3/8*t**2 + 543/8*t - 207 = 0.
-184, 3
Find i such that 148*i**3 - 136*i + 32 - 25/2*i**5 + 10*i**4 + 80*i**2 = 0.
-2, 2/5, 4
Let x(q) be the third derivative of 5*q**2 - 1/300*q**6 + 0*q**3 + 0 + 1/50*q**5 + 1/15*q**4 - 6*q. Find o such that x(o) = 0.
-1, 0, 4
Let y be (-253)/2*(-5559)/40766. Factor 3/4*n**2 - y*n + 0.
3*n*(n - 23)/4
Let b(z) be the second derivative of -z**4/6 + 598*z**3/3 - 597*z**2 + 254*z - 2. Suppose b(n) = 0. What is n?
1, 597
Let y(m) = -m**4 + 2*m - 1. Let i be -4 + ((-6)/(-6) - 9). Let g(p) = -4*p**4 - 70*p**3 + 126*p**2 + 60*p - 12. Let o(q) = i*y(q) + g(q). Factor o(n).
2*n*(n - 6)*(n - 3)*(4*n + 1)
Let s(w) = 2*w**2 + 3*w. Let q be s(-3). Suppose 0 = 6*x - 369 - 135. Factor q - 28*f**2 + 60*f - x + 39 + 4*f**3.
4*(f - 3)**2*(f - 1)
Let c be (5/(-12))/(((-9)/(-24))/((-39)/(14 - 1))). Factor 20/3 + c*t**2 - 15*t.
5*(t - 4)*(2*t - 1)/3
Solve 52*m**4 + 716*m**3 - 4*m**5 - 49*m**4 - 912*m**2 - 171*m**4 + 368*m = 0 for m.
-46, 0, 1, 2
Find w such that 47 - 44*w**2 - 1355 + 154 - 1054 - 1550*w - 702*w = 0.
-552/11, -1
Let i(u) be the first derivative of 2*u**3/33 + 2*u**2 + 210*u/11 + 1333. Suppose i(a) = 0. Calculate a.
-15, -7
Suppose 9 = -k + 75*w - 71*w, -5*w + 21 = 2*k. Let j(d) be the first derivative of 0*d + 1/18*d**4 + 7 + 0*d**2 + 0*d**k + 2/45*d**5. Let j(q) = 0. What is q?
-1, 0
Let q be (-205)/123*(-12)/5. Factor 3 + 72 + 61 - q*c**3 - 54*c - 222*c + 144*c**2.
-4*(c - 34)*(c - 1)**2
Suppose -29*b - 470 = -615. Let o(t) be the first derivative of -5/24*t**4 - 11 + 7/30*t**b + 1/18*t**3 + 0*t - 1/12*t**6 + 0*t**2. Find x such that o(x) = 0.
0, 1/3, 1
Let j(n) be the first derivative of n**8/840 - n**6/60 + n**5/30 + 34*n**3/3 - 21. Let q(l) be the third derivative of j(l). What is f in q(f) = 0?
-2, 0, 1
Let g(b) be the second derivative of -3*b**5/80 - 5*b**4/16 + 13*b**3 + 6*b + 2. Let g(f) = 0. What is f?
-13, 0, 8
Let y = 123092 - 1354010/11. Let -y*i**2 - 1152/11 - 96/11*i = 0. Calculate i.
-24
Let x(n) be the second derivative of 5/3*n**3 - 1 + 48*n + 25/12*n**4 + 1/6*n**6 + 0*n**2 + n**5. Factor x(k).
5*k*(k + 1)**2*(k + 2)
Let o = 27631 - 359201/13. Factor o + 10/13*t + 8/13*t**2.
2*(t + 1)*(4*t + 1)/13
Factor 122/11*w + 64/11*w**2 + 2/11*w**3 + 60/11.
2*(w + 1)**2*(w + 30)/11
Factor -87/8*c**2 - 153/2*c + 6*c**3 + 3/8*c**4 + 0.
3*c*(c - 4)*(c + 3)*(c + 17)/8
Suppose -4*t + 32 + 0 = -4*a, 5*a + 5 = 0. Suppose 42*y = t*y + 140. Factor 6/5*l**3 + 0*l**2 + 3*l**y + 0*l - 9/5*l**5 + 0.
-3*l**3*(l - 2)*(3*l + 1)/5
Let v = -207706 + 207711. Solve -9/2*s**2 + 7/2*s - 7/2*s**3 + v - 1/2*s**4 = 0 for s.
-5, -2, -1, 1
Solve -692 - 199 - 741 + 248*c + 4*c**2 = 0.
-68, 6
Factor -150 - 1/2*o**2 - 103/2*o.
-(o + 3)*(o + 100)/2
Let g(l) be the third derivative of l**6/240 + 17*l**5/240 + 11*l**4/48 + 7*l**3/24 - 2789*l**2. Factor g(h).
(h + 1)*(h + 7)*(2*h + 1)/4
Let z = -569 + 571. Let s be 58/145 - z/5. Suppose -4/7*p**5 + 0*p**2 + 12/7*p**4 + 0 - 8/7*p**3 + s*p = 0. What is p?
0, 1, 2
Let n(o) be the second derivative of -o**4/42 + 9*o**3/7 + 940*o**2/7 + 9332*o. Solve n(d) = 0 for d.
-20, 47
Let j be (0 + 26/39)/2. Let a(n) be the second derivative of 23*n + 2/45*n**6 + 11/60*n**5 + 1/4*n**3 + j*n**4 + 1/252*n**7 + 0*n**2 + 0. Solve a(p) = 0 for p.
-3, -1, 0
Suppose 4*g = 4*s + 56, 2*g - 43 = -108*s + 107*s. Suppose -36*y + 20*y = -g*y. Factor -4/5*n - 7/5*n**4 + y + 19/5*n**3 - 8/5*n**2.
-n*(n - 2)*(n - 1)*(7*n + 2)/5
Let x(a) = -7*a - 11. Let j be x(-3). Solve j*h + 3*h**2 + 2*h + 8*h - 7*h**2 + 0*h**2 = 0 for h.
0, 5
Let f be 107/4 - 15/20. Suppose -w - o = -2, -3*o = w - 6*w + f. Factor 0 - 9/4*p**2 + 3/4*p**3 + 1/2*p + p**w.
p*(p - 1)*(p + 2)*(4*p - 1)/4
Let w(q) = q**2 + 3*q - 2. Let m be w(-6). Let i(u) = -83*u - 1740. Let z be i(-21). Solve 2/3*y**z + 4*y**4 + 2/3*y**5 - m*y**2 + 0 + 32/3*y = 0 for y.
-4, 0, 1
Factor -4*z**2 + 382*z + 845*z - 100*z - 111*z - 64516.
-4*(z - 127)**2
Let i(f) be the second derivative of -4*f**6/135 + 121*f**5/90 - 7*f**4/27 - 484*f**3/27 + 40*f**2/3 + 1117*f. Solve i(g) = 0.
-2, 1/4, 2, 30
Let l(h) = -h**2 + 308*h - 22558. Let x be l(188). Factor -2/15*o**x - 16/15 - 4/5*o.
-2*(o + 2)*(o + 4)/15
Let a(b) be the third derivative of 0*b + 100/33*b**3 - 63*b**2 + 65/132*b**4 + 1/660*b**6 + 7/165*b**5 + 0. Find q such that a(q) = 0.
-5, -4
Let d(r) = 95*r**2 - 108*r + 11. Let n(v) = 191*v**2 - 219*v + 23. Let k(q) = -5*d(q) + 2*n(q). Factor k(p).
-3*(p - 1)*(31*p - 3)
Suppose -3*f = -2*x - 0*x + 42155, 0 = 4*x + 5*f - 84343. Let o be 20/130 - x/(-26). Find r, given that o*r + 0*r**2 - 810*r - r**2 = 0.
0, 1
Find j, given that 4/3*j**3 - 4/3 - 2/3*j + 8/3*j**2 - 4/3*j**4 - 2/3*j**5 = 0.
-2, -1, 1
Suppose 0 = 1167*k - 1293*k + 378. Factor -72/5 - 148/5*d - 4/5*d**k - 16*d**2.
-4*(d + 1)**2*(d + 18)/5
Let g(v) be the second derivative of v**7/84 + 17*v**6/12 + 1929*v**5/40 + 5207*v**4/24 + 1681*v**3/6 - 3578*v. Solve g(s) = 0.
-41, -2, -1, 0
Suppose -88/3*o**2 + 20*o + 1/3*o**4 + 9*o**3 + 0 = 0. What is o?
-30, 0, 1, 2
Suppose -5*p = m + 8, 2*m = -m + 5*p + 16. Find b, given that -32*b**3 - 255 + 320*b**4 - 255 + 8*b - 44*b**m + 510 = 0.
-2/5, 0, 1/4
Let d be (5/2*(-36)/(-45))/1. Suppose 156*v - 23 + 9 - 448*v**d - 1 + 7 = 0. Calculate v.
1/16, 2/7
Let t = 604 + -601. Factor -10 - 5*r**t - 10*r**2 + 21 - 10 + 10*r**4 + 5*r**5 - 1.
5*r**2*(r - 1)*(r + 1)*(r + 2)
Let o be ((-5190)/(-24912))/((-10)/(-18)). Let -1/8*u**2 - o - 1/2*u = 0. Calculate u.
-3, -1
Let z(k) be the first derivative of k**6/144 + k**5/3 + 20*k**4/3 - 16*k**3/3 - k - 15. Let a(j) be the third derivative of z(j). Factor a(l).
5*(l + 8)**2/2
Let f(y) be the third derivative of -y**6/96 + 11*y**5/16 + 155*y**4/16 + 95*y**3/3 + 13*y**2 - 20. Factor f(v).
-5*(v - 38)*(v + 1)*(v + 4)/4
Let m(z) be the second derivative of 66*z + 0 + z**2 + 1/20*z**5 - 1/2*z**3 + 0*z**4. Find n such that m(n) = 0.
-2, 1
Suppose -1432 + 4249 = -10*y + 1416 + 1431. Determine j, given that -56/5*j**2 - 2/5*j**4 - 18/5*j**y - 32/5 - 72/5*j = 0.
-4, -2, -1
Let x(o) = -68*o - 437. Let m be x(6). Let g = 845 + m. Factor 3/5*t + 0 - 3/5*t**3 + g*t**2.
-3*t*(t - 1)*(t + 1)/5
Let t(s) = -9*s**2 + 166*s - 339. Let i(k) = 3*k**2 - 55*k + 114. Let y(b) = 13*i(b) + 4*t(b). Suppose y(f) = 0. Calculate f.
3, 14
Determine h, given that -2582/3*h**2 - 722/3*h**5 - 8/3 + 646/3*h**4 - 296/3*h + 2962/3*h**3 = 0.
-2, -1/19, 1, 2
Let z(b) be the third derivative of b**6/420 - 4*b**5/7 - b**4/84 + 40*b**3/7 + 1153*b**2. Factor z(o).
2*(o - 120)*(o - 1)*(o + 1)/7
Let a be (18/4)/(1/(-10)). Let o be (-99)/a + 1/(-5). Factor -20*g**4 - 11*g**3 + 36*g**o - 10*g**5 + 6*g**5 - g**3.
-4*g**2*(g - 1)*(g + 3)**2
Let a(w) be the third derivative of -w**6/1020 - 163*w**5/255 - 26569*w**4/204 - 1091*w**2. Determine d so that a(d) = 0.
-163, 0
Let -1464450 - 2255*l + 5585202 + 3*l**2 - 4777*l = 0. Calculate l.
1172
Suppose 8*m - 5*m - j - 155 = 0, 2*m - 3*j = 101. Suppose -2*w - 12 = 5*s, 2*w - m*s - 12 = -51*s. Factor -4/3*f**3 + 0*f**2 + 8/3 + w*f.
-4*(f - 2)*(f + 1)**2/3
Factor 12 + 104*u - 682*u**4 - 56 + 104*u + 678*u**4 + 44*u**3 - 152*u**2 - 52.
-4*(u - 6)*(u - 2)**2*(u - 1)
Let a be (4089/261 - 2) + 0 + 18/(-2). Factor -4/3*n**2 + 0 + 0*n + 6*n**4 - a*n**3.
2*n**2*(n - 1)*(9*n + 2)/3
Let r(h) be the second derivative of h**7/1260 - 4*h**6/45 + 64*h**5/15 + h**4/12 - 13*h**2/2 - 38*h. Let y(a) be the third derivative of r(a). Factor y(d).
2*(d - 16)**2
Let l = -3865/71 + 15531/284. Let 0*n**2 - l*n**4 + 0*n + 0 + 1/4*n**5 + 0*n**3 = 0. What is n?
0