 2)/4
Let n(x) be the third derivative of -25/2*x**3 + 1/360*x**6 + 29/180*x**5 + 65/24*x**4 + 10*x - 2*x**2 + 0. Factor n(u).
(u - 1)*(u + 15)**2/3
Let 167*b - 18978 + 110*b**2 + 38024 - 2*b**3 - 51*b - 19270 = 0. What is b?
-2, 1, 56
Let z(g) be the second derivative of -g**7/840 + g**6/40 - g**5/15 - 13*g**3/2 - 17*g. Let j(v) be the second derivative of z(v). Suppose j(l) = 0. What is l?
0, 1, 8
Determine f so that 5488/9*f**4 - 74872/9*f**3 + 5180*f**2 - 1098*f + 78 = 0.
3/14, 13
Let j(h) = h**2 - 1080*h + 2292. Let b(t) = 3*t**2 - 2145*t + 4584. Let r(y) = -4*b(y) + 9*j(y). Suppose r(z) = 0. Calculate z.
-382, 2
Suppose -63*f + 578 = 578. Let a(v) be the third derivative of 2*v**2 + f - 1/36*v**4 + 1/630*v**7 + 0*v + 0*v**3 - 1/90*v**6 + 1/36*v**5. Factor a(w).
w*(w - 2)*(w - 1)**2/3
Determine t, given that -40/7*t - 18/7*t**2 - 2/7*t**3 + 0 = 0.
-5, -4, 0
Let b(f) = -f**3 + 5*f**2 + 2*f - 7. Let w be b(5). Let 6*u**2 - 5*u**3 - u**3 + u**3 - 8 + 3*u**w = 0. What is u?
-1, 2
Let b(s) = 9*s**2 + 3*s + 5. Let f be b(-3). Let x = f + -73. Factor -64*q + 64*q + 3*q**3 - 3*q**x.
-3*q**3*(q - 1)
Suppose -2*j - 4 = 5*b - 10*b, -10*b - 4*j - 8 = 0. Factor 1/3 + 2/3*m - 2/3*m**3 + b*m**2 - 1/3*m**4.
-(m - 1)*(m + 1)**3/3
Let m = -7010 - -7010. Let v(d) be the second derivative of -2/27*d**3 + 0*d**2 + 1/18*d**4 + m - 1/90*d**5 - 21*d. Suppose v(x) = 0. Calculate x.
0, 1, 2
Suppose 0*t**5 - 54167 + 2*t**5 + 7278*t**2 + 59159 - 29*t**4 - 1210*t**3 + 71*t**4 - 11104*t = 0. Calculate t.
-39, 1, 8
Let g(v) = -5*v**4 + 278*v**3 - 187*v**2 - 92*v + 8. Let q(z) = -11*z**4 + 553*z**3 - 374*z**2 - 183*z + 20. Let f(s) = 10*g(s) - 4*q(s). Solve f(l) = 0.
-1/3, 0, 1, 94
Let n(l) be the second derivative of -l**4/21 - 202*l**3/21 + 1744*l**2/7 + 9812*l. Factor n(w).
-4*(w - 8)*(w + 109)/7
Let k be (-3 - -4)/((-75)/(-2190)). Let i = -26 + k. Factor -16/5*v + i*v**2 - 4/5*v**4 + 4/5*v**3 + 0.
-4*v*(v - 2)*(v - 1)*(v + 2)/5
Let z be (-2)/((-3)/(222/4)). Suppose 2*c + 16 = 24. Let -23*t - 21*t**3 - z*t + 0*t**3 - 54*t**2 - 3*t**c - 24 = 0. What is t?
-2, -1
Factor -145216*u + 376*u**4 - 754*u**4 + 1412*u**3 + 374*u**4 - 123900*u**2 + 19900*u.
-4*u*(u - 177)**2*(u + 1)
Let g(s) be the first derivative of -4*s**3/27 - 2068*s**2/9 - 1069156*s/9 + 1693. Find i, given that g(i) = 0.
-517
Let i = 5940 + -5935. Let x(l) be the second derivative of -4/27*l**3 + 0 - 1/45*l**6 + 7/90*l**i + 0*l**2 + 0*l**4 - 2*l. Determine d so that x(d) = 0.
-2/3, 0, 1, 2
Let j be (-112)/(-45) + (-1192)/745. Let h(v) be the second derivative of -8/27*v**3 + j*v**2 + 1/27*v**4 + 0 + v. Factor h(o).
4*(o - 2)**2/9
Factor 31212 + 1/6*f**3 + 307/3*f**2 + 15810*f.
(f + 2)*(f + 306)**2/6
Let d(m) be the first derivative of 5/6*m**4 - 5/6*m**3 + 16 - 5*m**2 - 16*m + 1/4*m**5. Let n(j) be the first derivative of d(j). Find c, given that n(c) = 0.
-2, -1, 1
Suppose 4*d = 3577 + 815. Let c be 9/(-3) + (d - 0/(-2)). Factor 109*h**3 + c*h - 15*h**4 - 1255*h + h**3 - 160*h**2.
-5*h*(h - 4)**2*(3*h + 2)
Let f be (3666/(-390) - (-8 - 2))*(-150)/(-810). Factor f*r**2 - 5/9 - 4/9*r.
(r - 5)*(r + 1)/9
Let j(v) be the first derivative of -2*v**5/65 + 71*v**4/26 - 1218*v**3/13 + 19845*v**2/13 - 148176*v/13 + 617. Solve j(c) = 0.
8, 21
Let r(g) = 33*g + 825. Let b be r(-25). Suppose b*z**3 + 0*z - 12/5 + 3*z**2 - 3/5*z**4 = 0. Calculate z.
-2, -1, 1, 2
Suppose 2*t - 5*f = 5, -22*t + 3*f + 22 = -17*t. Let r be (-9)/(-45) - (-27)/15. Factor 1/3*z**t - z + 8/3*z**r - 2*z**3 + 0 + 0*z**4.
z*(z - 1)**3*(z + 3)/3
Let j(f) be the second derivative of -f**6/440 - 53*f**5/660 - 75*f**4/88 + 27*f**3/22 + 9*f**2 - 42*f. Let d(w) be the first derivative of j(w). Factor d(s).
-(s + 9)**2*(3*s - 1)/11
Let u(f) = -51*f**2 + 1488*f + 419. Let m(c) = 32*c**2 - 744*c - 209. Let o(q) = -10*m(q) - 6*u(q). Factor o(d).
-2*(d + 106)*(7*d + 2)
Let t(l) be the second derivative of 2*l**6/75 + 31*l**5/25 - 104*l**4/5 + 2*l - 3757. Solve t(k) = 0.
-39, 0, 8
Suppose -x = -v + 13, 5*v + 21*v + 65 = -5*x. Factor v - 26/7*f - 2/7*f**2.
-2*f*(f + 13)/7
Let n(b) be the third derivative of -b**8/336 - b**7/105 + 7*b**6/40 - 3*b**5/10 - 4978*b**2. Find f, given that n(f) = 0.
-6, 0, 1, 3
Find b such that 4/19*b**3 - 10/19*b**4 + 20/19*b**2 - 2/19*b - 2/19*b**5 - 10/19 = 0.
-5, -1, 1
Let w(y) be the first derivative of -y**7/1155 + y**6/110 + 9*y**5/110 + 29*y**2 + 171. Let r(n) be the second derivative of w(n). Find c such that r(c) = 0.
-3, 0, 9
Let k be (-23)/(138/(-204)) + (4 - 2). Suppose 12*j = -k*j. Find v, given that -1/2*v + 3/2*v**2 + j = 0.
0, 1/3
Let w be 2242/7 + 56/(-196). Let k be (-5*(-1)/20)/(12/w). Determine c, given that -k*c**2 - 2/3*c**3 + 0 - 50/3*c = 0.
-5, 0
Let y(b) = -12*b - 58. Let j be y(-5). Factor -j*g**3 - 176*g**2 - 191*g**2 + 379*g**2.
-2*g**2*(g - 6)
Let b be (-36)/(-2160)*108 - (462/90 - 4). Factor 2/3*p**4 + 0 + 4/3*p - b*p**2 - 4/3*p**3.
2*p*(p - 2)*(p - 1)*(p + 1)/3
Suppose -330*q + 9 = -327*q. Factor -20*c**2 - 4309*c**3 + 4305*c**q - 21*c + 5*c.
-4*c*(c + 1)*(c + 4)
Let d(x) be the third derivative of x**5/180 - 43*x**4/18 + 19*x**3/2 + 107*x**2 - 25. Factor d(g).
(g - 171)*(g - 1)/3
Let j = -996126 + 996134. Solve j*g**2 - 20/3*g**3 - 22/3 - 2/3*g**4 + 20/3*g = 0.
-11, -1, 1
Suppose 3*i = 12, -29*i = -v - 28*i + 1. Let p(q) be the first derivative of v*q**3 + 33/2*q**2 + 6*q - 17. Determine k, given that p(k) = 0.
-2, -1/5
Suppose 0 = 5*k - 10*k. What is g in 6*g**3 - 4*g**4 + 2*g**3 + 6 + k*g - 4*g - 4*g**5 - 10 + 8*g**2 = 0?
-1, 1
Let c(m) be the first derivative of 5*m**4/4 + 985*m**3/3 - 495*m**2 + 1339. Factor c(u).
5*u*(u - 1)*(u + 198)
Let z be 8 - (-2)/((-19)/(627/22)). Let a(l) be the third derivative of 0*l - 1/27*l**3 + 0*l**4 - 41*l**2 + 1/270*l**z + 0. Factor a(r).
2*(r - 1)*(r + 1)/9
Factor -57*a**2 - 3479 - 388*a + 419*a**3 + 419*a**3 - 1256*a**3 + 417*a**3 + 1333*a.
-(a - 7)**2*(a + 71)
Let m = 257005/4 - 64250. Find a, given that -m*a**3 - 1215/4*a - 135/4*a**2 - 3645/4 = 0.
-9
Let n(u) be the third derivative of -u**6/24 - 43*u**5/2 - 6825*u**4/2 + 84500*u**3/3 + 2*u**2 - 190. Determine q so that n(q) = 0.
-130, 2
Suppose y = 0, 4*i - 3*y + 8 = 2*y. Let l be 1*(i + 14 - 4). Factor -12*h**2 + 8*h**3 + 4 - 9*h**2 + 12*h**4 - 15*h**2 - l*h + 20*h**2.
4*(h - 1)*(h + 1)**2*(3*h - 1)
Factor -60 + 20/3*m**2 - 72*m + 8*m**3.
4*(m - 3)*(m + 3)*(6*m + 5)/3
Let x(k) be the first derivative of 4/3*k**3 - 41 - 6*k**2 + 4*k**4 + 0*k. Factor x(o).
4*o*(o + 1)*(4*o - 3)
Suppose 0 = -4*o + 5*u + 90, -o + 2*u + 64 = 2*o. Let r be 106/10 + 8/o. Factor r*s + 6*s + 9*s + s**2 - 27*s.
s*(s - 1)
Let h(m) = 2*m**2 + 32 - 1396*m + 1428*m + 4. Let d(o) = 5*o**2 + 65*o + 70. Let k(l) = -3*d(l) + 5*h(l). Suppose k(g) = 0. What is g?
-6, -1
Let x = -104801/76 + 1379. Let o = x + 89/1596. Factor -2/21*n - o*n**2 + 2/21*n**3 + 2/21.
2*(n - 1)**2*(n + 1)/21
Find x, given that 4752400/3 + 8720/3*x + 4/3*x**2 = 0.
-1090
Let w(d) = -1903*d**2 + 952*d**2 + 952*d**2 + 2 + d. Let s(k) = 8*k**2 - 677*k + 23126. Let n(p) = s(p) - 3*w(p). Factor n(a).
5*(a - 68)**2
Let x(n) be the third derivative of -13/12*n**3 + 0*n - 43*n**2 + 1/120*n**5 + 0 - 1/4*n**4. Find t such that x(t) = 0.
-1, 13
Let w(b) = b**2 - b + 2. Let y(o) = 23 + 17 - 36 - 35 - 37 + 30*o + 4*o**2. Let r(l) = -2*w(l) + y(l). Find f, given that r(f) = 0.
-18, 2
Suppose -94 = 117*w - 151 - 177. Suppose 3/5*j**w - 6*j + 15 = 0. What is j?
5
Let s(m) be the first derivative of -m**5/5 + 4*m**4 + m**3/3 - 8*m**2 + 1112. Solve s(w) = 0.
-1, 0, 1, 16
Let -80*s**2 - 96*s - 59*s**3 - 13*s**3 - 16*s**3 - 2*s**4 + 66*s**3 = 0. What is s?
-4, -3, 0
Factor -2/17*a**2 + 12/17*a - 10/17.
-2*(a - 5)*(a - 1)/17
Let k = -362 + 364. Suppose -8*j**5 - 5926*j**3 + 4*j**5 + 45833*j - 978*j**3 - 149517*j - 61640*j**k - 48668 - 284*j**4 = 0. What is j?
-23, -1
Let i(o) = -3*o - 20. Let j be i(-7). Let k be j/(-1) + (-4 - -21). Factor -4*a - 33*a**2 - 12 + k*a + 6*a**3 + 54*a**2.
3*(a + 2)**2*(2*a - 1)
Suppose -2*b + 38 = -0*b - 4*w, 0 = -4*b + 3*w + 71. Factor 32*f**3 + 12*f - 512*f**2 - 19 - b + 5*f**4 + 571*f**2.
(f + 2)**2*(f + 3)*(5*f - 3)
Let i(p) be the first derivative of 11 - 4*p - 32/3*p**3 - 12*p**2. Find x, given that i(x) = 0.
-1/2, -1/4
Let f be 2*34 - 276640/5985. 