t t(w) be the second derivative of -w**4/18 - 1850*w**3/3 - 2566875*w**2 + 2*w - 5126. Find z such that t(z) = 0.
-2775
Factor 1/7*v**5 + 26/7*v**4 + 2816/7*v + 1216/7*v**2 + 256/7*v**3 + 2560/7.
(v + 4)**4*(v + 10)/7
Let -6/7*q**3 + 3/7*q**4 + 216/7*q + 0 - 108/7*q**2 = 0. Calculate q.
-6, 0, 2, 6
Let g = 10388/3 - 3461. Let z(o) be the second derivative of 0*o**2 + 0 + 8*o - 5/12*o**4 - g*o**3. Suppose z(n) = 0. What is n?
-2, 0
Let r(x) be the third derivative of x**7/1050 - x**6/600 - 7*x**5/60 + 43*x**4/40 - 21*x**3/5 + 1017*x**2. Solve r(z) = 0 for z.
-7, 2, 3
Find o such that 76*o + 7/5*o**2 + 108/5 = 0.
-54, -2/7
Factor -34*k + 0*k - 2033675*k**3 - 108 + 2033672*k**3 + 57*k**2 + 6*k - 20*k.
-3*(k - 18)*(k - 2)*(k + 1)
Determine l, given that 509*l + 78*l**4 - 17596*l**3 + 16951*l**3 + 967*l**2 + 3*l**5 + 581*l**2 - 1697*l = 0.
-33, 0, 2, 3
Let t(j) be the third derivative of j**5/15 - 43*j**4/6 - 60*j**3 + 813*j**2. Determine c so that t(c) = 0.
-2, 45
Let v = 1431/1036 + -26/37. Let j = v + 45/28. Factor -j*t + 16/7 + 4/7*t**2.
4*(t - 2)**2/7
Let m(y) = 13*y**2 - 2280*y + 1537. Let o(u) = -15*u**2 + 2279*u - 1540. Let p(k) = 6*m(k) + 5*o(k). Factor p(c).
(c - 761)*(3*c - 2)
Factor 11/5 + 1/10*b**2 - 23/10*b.
(b - 22)*(b - 1)/10
Factor -1/4*h**3 - 153/4*h + 54 + 15/2*h**2.
-(h - 24)*(h - 3)**2/4
Suppose 811*q**4 - 2169*q**3 + 1343*q**3 - 809*q**4 + 115056*q**2 - 4339199*q - 1246593*q + 25154560 = 0. Calculate q.
5, 136
Let g = 2/6301 - -144915/25204. Find i, given that -g + 1/4*i**2 + 11/2*i = 0.
-23, 1
Let 0 + 0*n - 55*n**2 - 1/3*n**3 = 0. What is n?
-165, 0
Let p(i) be the second derivative of i**7/2240 - 3*i**6/320 - i**5/32 - 5*i**3/2 + 7*i - 6. Let t(c) be the second derivative of p(c). Solve t(n) = 0.
-1, 0, 10
Find y such that -2/3*y**2 + 332/3*y - 326 = 0.
3, 163
Factor -435*x + 189225 + 1/4*x**2.
(x - 870)**2/4
Let -1295029000/3 + 2593622300/3*f + 3570841/3*f**3 - 1302160870/3*f**2 + 1/3*f**5 - 3272/3*f**4 = 0. What is f?
1, 1090
Let i(o) be the first derivative of 2*o**3/3 - 3980*o**2 + 7920200*o - 136. Determine f, given that i(f) = 0.
1990
Let g = 1/2506 - -2503/7518. Let k(x) be the second derivative of 1/2*x**2 + 0 - g*x**3 + 5/48*x**4 - 16*x - 1/80*x**5. Solve k(d) = 0 for d.
1, 2
Let v(n) be the first derivative of -2*n**6 - 129*n**5/5 + 501*n**4/4 + 677*n**3 + 1023*n**2/2 - 390*n + 6750. Determine r so that v(r) = 0.
-13, -2, -1, 1/4, 5
Factor -83/9*w - 86/9*w**2 + 170/9 - 1/9*w**3.
-(w - 1)*(w + 2)*(w + 85)/9
Let -16/11*w - 10/11*w**2 - 2/11*w**3 - 8/11 = 0. What is w?
-2, -1
Let b = 163 - 113. Let d = -45 + b. Let -29 - 149*z**2 + d + 35*z + 144*z**2 - 6 = 0. Calculate z.
1, 6
Suppose -5*x + 5*c = 10, -4*x + 3*c = c. Suppose 0 = x*j - 73 + 67. Let 3/2 + 0*a**2 - 3/4*a**j + 9/4*a = 0. What is a?
-1, 2
Let k be 136/(-510)*15*5/(-10). Factor -4*b**k + 0 - 2/3*b**3 - 16/3*b.
-2*b*(b + 2)*(b + 4)/3
Factor -3858*i + 6201735 + 3/5*i**2.
3*(i - 3215)**2/5
Let u be (-12 - 1300/(-75)) + (-6 - -5)*4. Solve -2/3*p**2 + u*p - 2/9*p**3 + 16/9 = 0 for p.
-4, -1, 2
Let s(m) be the second derivative of m**6/165 + m**5/22 - 20*m**3/33 - 16*m**2/11 - 1596*m. Find d such that s(d) = 0.
-4, -2, -1, 2
Let l be (-9)/12*320/(-540) - (87/(-27) + 3). Factor l*c + 4/3 - 2/3*c**2.
-2*(c - 2)*(c + 1)/3
Factor 1364*s + 116281/2 + 8*s**2.
(4*s + 341)**2/2
Let k(c) be the first derivative of c**7/105 + c**6/40 + c**5/60 - 5*c**2/2 - 4*c + 58. Let o(r) be the second derivative of k(r). Factor o(m).
m**2*(m + 1)*(2*m + 1)
Let s(n) = n**3 - 38*n**2 - 2*n + 79. Let l be s(38). Let h(p) be the first derivative of 2*p + 11/2*p**2 + 16 + l*p**3. Factor h(i).
(i + 1)*(9*i + 2)
Suppose 2*b - 24 = -b. Suppose b*g = 5*g + 6. Factor 4*d + 0 + 2*d**g - d**2 + 1 - 2*d.
(d + 1)**2
Let c(y) be the third derivative of -y**6/540 + 52*y**5/135 - 3589*y**4/108 + 13690*y**3/9 - 15566*y**2. Factor c(g).
-2*(g - 37)**2*(g - 30)/9
Let n be (-4)/((-32)/12) - 582/582. Factor 3/4*k + 0*k**2 - 1/4*k**3 + n.
-(k - 2)*(k + 1)**2/4
Let r(y) = -15*y**2 - 175*y - 640. Let a(u) = -13*u**2 - 165*u - 638. Let z(m) = -5*a(m) + 4*r(m). Let z(g) = 0. Calculate g.
-18, -7
Let h(k) be the first derivative of -k**5 - 3*k**4/4 + 32*k**3/3 - 6*k**2 + 659. Let h(x) = 0. Calculate x.
-3, 0, 2/5, 2
Let d(m) be the first derivative of -12/17*m**2 - 36 + 24/17*m**3 + 2/17*m. Factor d(f).
2*(6*f - 1)**2/17
Let h be (-6)/(-2) + (1 - 18/(-14)) + 8. Factor 0 + 45/7*o - h*o**2 + 51/7*o**3 - 3/7*o**4.
-3*o*(o - 15)*(o - 1)**2/7
Suppose 761 = 202*k - 451. Let f(t) be the first derivative of 0*t - 26 + t**5 - 1/3*t**k - 1/3*t**3 - 3/4*t**4 + 1/2*t**2. Suppose f(n) = 0. Calculate n.
-1/2, 0, 1
Let i(n) be the third derivative of -5*n**8/336 + 215*n**7/42 - 211*n**6/24 - 643*n**5/12 + 265*n**4/6 + 1070*n**3/3 - 4083*n**2. Solve i(b) = 0.
-1, 1, 2, 214
Let k be (-48*(-48)/26880)/(6/14). Factor -8*t - 80 - k*t**2.
-(t + 20)**2/5
Factor -12/5*l**3 + 144/5*l + 0 - 208/5*l**2.
-4*l*(l + 18)*(3*l - 2)/5
Let r = -3242 - -58141/18. Let k = r + 73/6. Solve -k*z**2 + 2/9*z + 0 = 0.
0, 1
Let k(a) be the first derivative of 19*a**3 + 858*a**2 + 180*a - 2220. Solve k(z) = 0 for z.
-30, -2/19
Let h(k) be the second derivative of k**4/126 + 187*k**3/63 - 18*k**2 + 3*k - 1037. Factor h(r).
2*(r - 2)*(r + 189)/21
Let m(o) be the first derivative of -2*o**3/9 + 94*o**2/3 - 4418*o/3 + 5290. Factor m(x).
-2*(x - 47)**2/3
Let s(o) be the third derivative of o**5/140 - 13*o**4/56 + 20*o**3/7 + 26*o**2 - 1. Factor s(w).
3*(w - 8)*(w - 5)/7
Let l(o) be the second derivative of 11*o**7/336 - 277*o**6/240 - 59*o**5/40 + 13*o**4/24 + 360*o. What is m in l(m) = 0?
-1, 0, 2/11, 26
Let x(i) be the first derivative of -4*i**3/3 + 28*i**2 - 192*i + 951. Factor x(t).
-4*(t - 8)*(t - 6)
Solve 5716*j - 2860*j - 70 + 40*j**2 - 2831*j + 5*j**3 = 0.
-7, -2, 1
Let q(h) be the first derivative of -1/18*h**4 - 2/9*h**3 + 1/9*h**2 + 2/3*h + 41. Find o, given that q(o) = 0.
-3, -1, 1
Let d(w) = w + 13. Let l be d(-7). Let u(z) be the first derivative of z**2/2 - z + 93. Let b(n) = n**2 - 9*n + 8. Let y(r) = l*u(r) + b(r). Factor y(c).
(c - 2)*(c - 1)
Let -9575/2*m**3 + 2655/2*m**4 + 10005/2*m**2 - 270 - 225/2*m**5 + 1440*m = 0. What is m?
-1/3, 2/15, 3, 6
Suppose -o - 2 = -g, 8*o = -19*g + 18*g + 2. Factor -1/3*k**3 + 0 + o*k + 8/3*k**2.
-k**2*(k - 8)/3
Let m(j) be the second derivative of 10/13*j**2 - 1/78*j**4 + 0 + 28*j - 3/13*j**3. Find o such that m(o) = 0.
-10, 1
Suppose 0 = -3*h + 4*i + 42, -3*i = -0*h - 2*h + 29. Factor -4 + 33*t**2 + h*t + 5 + 5 - 37*t**2.
-2*(t - 3)*(2*t + 1)
Let p(o) be the first derivative of -64*o**5/25 - 1664*o**4/5 + 1340*o**3/3 - 1049*o**2/5 + 42*o + 2769. Determine c, given that p(c) = 0.
-105, 1/4, 1/2
Let l(s) be the third derivative of 1/30*s**6 - 3*s**2 + 25 + 0*s**5 + 0*s - 1/6*s**4 + 0*s**3. Find x, given that l(x) = 0.
-1, 0, 1
Let f(x) be the second derivative of 21*x**5/5 - 209*x**4/6 - 257*x**3/3 - 6*x**2 - 408*x + 3. Suppose f(s) = 0. What is s?
-1, -1/42, 6
Let y be 8/(-10) + 1 - (-368)/10. Let j = 41 - y. Factor -12 + 0 + 2*g**2 + 12*g - j*g**2 - 6.
-2*(g - 3)**2
Let b be (-4)/(-14)*(-3 + 10)*2. Let p(d) be the first derivative of -35*d**4 + 65*d**b - 4*d**3 + 30 - 31*d**4 + 16*d. Factor p(r).
-4*(r - 1)*(r + 2)**2
Factor -654/5*h**2 + 313/5*h**3 + 492/5*h - 51/5*h**4 - 56/5.
-(h - 2)**3*(51*h - 7)/5
Let g(o) be the third derivative of -o**5/60 + o**4/24 + o**2. Let p(x) = -6 + 4*x**2 + 44 - 42 + x - x**2. Let w(r) = 12*g(r) + 3*p(r). What is v in w(v) = 0?
1, 4
Let n = -63213/50 - -31694/25. Factor -1/4*a**2 + 0 + n*a.
-a*(a - 14)/4
Let w be (1/2)/((25/(-40))/(-1)). Suppose -4 = -77*b + 75*b. Determine t, given that 2/5*t**b - w*t + 2/5 = 0.
1
Suppose -315*g**3 + 180*g + 8408*g**2 + 48 + 8411*g**2 + 75*g**4 - 16807*g**2 = 0. Calculate g.
-2/5, 1, 4
Let g(u) be the third derivative of u**5/390 - 149*u**4/156 - 28*u**3 - 56*u**2 + 68. Solve g(j) = 0.
-7, 156
Let c(b) be the second derivative of -1/40*b**5 + 5/6*b**4 + 0*b**3 + 32*b + 0*b**2 + 0. Factor c(i).
-i**2*(i - 20)/2
Let c = -76399/33020 + 659/254. Let m = c - 2/65. Factor 1 + 0*a - m*a**2.
-(a - 2)*(a + 2)/4
Suppose 4*i**5 - 279*i**3 - 239*i**3 + 733*i**2 - 765*i**2 - 4*i**4 + 478*i**3 = 0. What is i?
-2, -1, 0, 4
Let r(h) = -57*h**2 - 848