64*g**4 + 6 - 1/480*g**5. Factor w(v).
-(v - 2)*(v + 5)/8
Let d(u) be the second derivative of -u**4/8 - 61*u**3/4 + 495*u**2/2 + 1490*u. Determine c, given that d(c) = 0.
-66, 5
Let i(x) = -8*x + 155. Let d be i(18). Let n be (-7 + 20 - d) + (1 - 1). Factor 1/3*y**4 + 4*y**3 - 12 + 35/3*y**n - 4*y.
(y - 1)*(y + 1)*(y + 6)**2/3
Let s(l) = -l**2 + 13*l + 32. Suppose -2*a = a - 45. Let f be s(a). Factor 9 - q**f - 4*q + 19 - 41 + 18.
-(q - 1)*(q + 5)
Let g(x) be the second derivative of -x**6/6 - 49*x**5/2 - 120*x**4 - 715*x**3/3 - 475*x**2/2 + x + 11. Solve g(u) = 0 for u.
-95, -1
Suppose 0*s - 4*n - 19 = -s, -4*s + 4 = 2*n. Suppose -49*g**s + 5*g**4 + 368*g**2 + 810 - 145*g**2 + 154*g**3 + 1395*g + 462*g**2 = 0. What is g?
-9, -2, -1
What is a in 332/3*a + 224 - 2/3*a**2 = 0?
-2, 168
Suppose -22/7*y**2 - 38/21*y + 68/21 + 38/21*y**3 - 2/21*y**4 = 0. What is y?
-1, 1, 2, 17
Let o(m) be the first derivative of 68 + 0*m + 9/2*m**2 + 1/16*m**4 - m**3. Find g such that o(g) = 0.
0, 6
Let n(w) = 7*w - 173. Let j be n(27). Suppose 142*d - 134*d = j. Factor -1/3*i**3 - 4 - 16/3*i - 7/3*i**d.
-(i + 2)**2*(i + 3)/3
Suppose -5*p - 12 + 22 = 0. Factor 535*v**2 - 100 + 180*v + 568*v**2 + 2*v**3 - 1064*v**p.
(v + 10)**2*(2*v - 1)
Let h(p) be the first derivative of -15129*p**5 + 38130*p**4 - 78110*p**3/3 + 620*p**2 - 5*p + 165. Factor h(q).
-5*(q - 1)**2*(123*q - 1)**2
Suppose 5*z = -3*v + 11, v - 3 = -3*z - 2. Suppose 2*x + 8 = t, 3*t + 82 = v*t + 2*x. Factor 3*l**2 + 3*l + 3*l**3 - t*l**2 + 9*l + 0*l.
3*l*(l - 4)*(l - 1)
Let i(f) = -25*f**4 + 10*f**3 - 35*f**2 - 40*f + 30. Let z(k) = -2*k**4 - 2*k**3 - k - 1. Let o(m) = -i(m) + 10*z(m). Find d such that o(d) = 0.
-1, 1, 2, 4
Let r(j) be the third derivative of -11*j**8/84 - 26*j**7/105 + 23*j**6/40 - 2*j**5/15 - j**4/6 - j**2 - 365*j. Solve r(y) = 0 for y.
-2, -2/11, 0, 1/2
Let z = 729/1471 - -13/2942. Factor 5*k**3 - 1/2*k**2 + z*k**4 - 5*k + 0.
k*(k - 1)*(k + 1)*(k + 10)/2
Let d(f) be the first derivative of f**5/5 - 63*f**4/4 + 62*f**3/3 - 1403. Find m such that d(m) = 0.
0, 1, 62
Let c = 5098 - 5098. Let x(q) be the second derivative of 0 - 5*q + 2/3*q**3 - 1/20*q**5 + c*q**2 + 1/6*q**4 - 1/60*q**6. Factor x(n).
-n*(n - 2)*(n + 2)**2/2
Let f(k) = -12*k**2 + 20*k - 4. Let r(y) = 11*y**2 - 21*y + 3. Let w(q) = 3*f(q) + 4*r(q). Let z(m) = m**2 - m. Let c(b) = -w(b) + 6*z(b). Solve c(p) = 0.
0, 9
Suppose -13 = -i - 2*d, -3*i + 4*d + 71 = 2. Suppose -40 + i = -7*w. What is v in 0*v + 0 + 2/13*v**5 + 0*v**w - 8/13*v**4 + 0*v**2 = 0?
0, 4
Let c(j) = -j**3 + 2*j**2 + 2*j + 2. Let a(b) = -36496*b**3 - 4771*b**2 - 217*b - 13. Let y(r) = a(r) + 5*c(r). Let y(d) = 0. What is d?
-1/23
Let a(w) be the third derivative of 2*w**7/315 - 7*w**6/45 - 7*w**5/45 + 52*w**4/9 - 56*w**3/3 + 18*w**2 + 4*w - 2. Find z such that a(z) = 0.
-3, 1, 2, 14
Let s(p) be the third derivative of p**7/30 + 263*p**6/30 + 2351*p**5/60 - 1261*p**4/12 - 148*p**3 + 13*p**2 + 5*p + 2. Suppose s(r) = 0. What is r?
-148, -3, -2/7, 1
Suppose -4*r - 839 = -6*d + 11*d, -2*d - 326 = 4*r. Let j = -171 - d. Factor 1/2*b**5 + 0*b**4 + j*b - 1/2*b**3 + 0*b**2 + 0.
b**3*(b - 1)*(b + 1)/2
Let m be ((1 - 6) + (-3399)/(-515))/(14/35 - 0). Find s, given that -7/10*s**m + 3/5*s**2 - 19/10*s**3 + 0 + 0*s = 0.
-3, 0, 2/7
Let k(o) be the third derivative of o**6/420 + 9*o**5/70 + 29*o**4/21 + 44*o**3/7 + 2*o**2 + 4*o + 168. Factor k(l).
2*(l + 2)*(l + 3)*(l + 22)/7
Let h(k) be the second derivative of 19*k**5/10 - 169*k**4/6 + 134*k**3/3 + 16*k**2 - 22*k - 15. Factor h(j).
2*(j - 8)*(j - 1)*(19*j + 2)
Let x be -10*(-18)/1440 - (-15)/8. Factor 1/5*q**x - 11/5*q + 2.
(q - 10)*(q - 1)/5
Suppose 0 = 8*l - 5*l - d - 80, -l + 3*d = -16. Let b be (-24)/18*(-6)/l. Factor -b*y + 2/7*y**2 + 2/7*y**3 - 2/7.
2*(y - 1)*(y + 1)**2/7
Determine g so that 536/9 - 88/3*g - 2/9*g**2 = 0.
-134, 2
Let v(t) = 2*t**3 + 47*t**2 + 23*t + 3. Let z be v(-23). Let 1060*b + 3*b**2 - 4*b**2 - 1060*b + 17*b**2 + 4*b**z + 6*b**5 - 26*b**4 = 0. Calculate b.
-2/3, 0, 1, 4
Let u = -9765 + 9768. Solve 4/7*z**4 + 40/7*z**u + 144/7 - 240/7*z + 52/7*z**2 = 0.
-6, 1
Let -4*m**2 + 8 + 29 - 38 + 5 + 266*m - 266*m**3 = 0. What is m?
-1, -2/133, 1
Let z be ((-41)/(-4) - -2) + (-1)/4. Let u = 7 - z. Let r(w) = -9*w**3 + 5. Let h(o) = -28*o**3 + 16. Let c(a) = u*h(a) + 16*r(a). Factor c(t).
-4*t**3
Let n(p) be the third derivative of -9*p**8/56 - 121*p**7/35 - 4279*p**6/180 - 4579*p**5/90 - 362*p**4/9 - 140*p**3/9 - 1166*p**2. Find v, given that n(v) = 0.
-7, -5, -1, -2/9
Let y = -2959/4 - -740. Let t(i) be the second derivative of -1/2*i**6 + 32*i + y*i**5 + 0 - 5/3*i**3 + 5/42*i**7 + 5/4*i**4 + 0*i**2. Factor t(g).
5*g*(g - 2)*(g - 1)**2*(g + 1)
Let b = -103 - -107. Determine s so that 12*s**2 + 555 + 2*s**b + 5*s**3 - 30*s**3 - 555 = 0.
0, 1/2, 12
Suppose 364*j - 15442 - 3211 + j**2 - 28*j - 3*j**2 + 4541 = 0. What is j?
84
Let z = -54766 + 54768. Solve -2*n + 9/4*n**3 + 7/4*n**z - 7/4*n**4 + 0 - 1/4*n**5 = 0.
-8, -1, 0, 1
Let n be (3/(-12))/(90/(-180)). Factor -1/2*s**2 + n*s + 1.
-(s - 2)*(s + 1)/2
Let z = -273/34 - -2251/238. Factor z*r**2 + 4/7 + 2*r.
2*(r + 1)*(5*r + 2)/7
Let b(v) = v**3 + 4*v**2 - 12*v + 2. Let y = 58 - 64. Let j be b(y). Factor 3*n - 3*n**3 + 7*n**2 + 116 + 2*n**j - 125.
-3*(n - 3)*(n - 1)*(n + 1)
Suppose 205*y - 4865 = 212*y. Let d = y - -2089/3. Let -2/9*n**5 - 2/9*n + 4/9*n**3 - d*n**4 - 4/3 + 8/3*n**2 = 0. What is n?
-6, -1, 1
Let d be (((-1120)/364)/10)/((-180)/78). Let 4/15*g**2 - 2/15*g**3 + 0 - d*g = 0. Calculate g.
0, 1
Let k be (-1*13 - 150/(-700)*14) + 25/2. Let 10 - 24*w - k*w**2 = 0. What is w?
-10, 2/5
Let h(z) be the second derivative of -7 + 2*z - 68/3*z**3 + 578/9*z**2 + 23/36*z**4 - 1/180*z**5. Suppose h(f) = 0. What is f?
1, 34
What is r in 35*r**2 + 1125 + 371*r - 814*r**3 + 32*r + 22*r + 813*r**3 = 0?
-5, 45
Let l be 3*(480/432)/(4/6) + (-15 - -10). Determine g so that l + 34/5*g - 2/5*g**2 = 0.
0, 17
Let z(c) be the first derivative of -1/42*c**6 - 2/21*c**3 + 0*c**2 + 0*c - 4/35*c**5 - 99 - 5/28*c**4. Solve z(y) = 0.
-2, -1, 0
Factor -71733 + d**5 + 71733 + 9*d**4 - 21*d**4.
d**4*(d - 12)
Let n(y) be the second derivative of 0*y**2 - 1/3*y**3 - 1/40*y**5 + 0 + 1/6*y**4 - 11*y. Find b such that n(b) = 0.
0, 2
Let y = 252562 - 252170. Factor 56/3*o + y + 2/9*o**2.
2*(o + 42)**2/9
Let g(q) = 2*q**2 - 2. Let y(k) = 10*k - 169. Let x be y(17). Let s(o) = -7*o**2 - 84*o - 1758. Let l(a) = x*s(a) + 3*g(a). Factor l(c).
-(c + 42)**2
Let o be (-27)/15 - (-5 - -3). Let l(n) be the first derivative of 1/3*n**3 + 8 + 0*n + 1/4*n**4 - 1/2*n**2 - o*n**5. Suppose l(i) = 0. Calculate i.
-1, 0, 1
Let j = 295 - 300. Let q(c) = -c + 83. Let g be q(j). Determine b so that g*b**4 - 352/5*b**2 + 72/5 + 60*b**5 - 152/5*b**3 + 12/5*b = 0.
-1, -2/3, 3/5
Determine k, given that -14*k**4 + 4*k**5 + 648 + 1722*k**2 - 268*k**3 - 8*k**4 + 1068*k + 4*k**4 - 1092*k - 2064*k = 0.
-9, 1/2, 1, 6
Let a = 526267023/5285 - 497889/5. Let v = -4/151 - a. Solve 0 + 2/7*m**4 - 2/7*m**2 - v*m + 2/7*m**3 = 0 for m.
-1, 0, 1
Let v = -596/5 + 120. Let s = 73342 - 73339. Factor 0*c + 0*c**2 + 0 + v*c**4 + 1/5*c**s - c**5.
-c**3*(c - 1)*(5*c + 1)/5
Let b(a) be the third derivative of 7*a**5/15 + 155*a**4/3 + 176*a**3/3 - 5*a**2 - 34. Factor b(f).
4*(f + 44)*(7*f + 2)
Let l(j) be the second derivative of j**7/21 - 73*j**6/15 - 113*j**5/5 - 76*j**4/3 + 5805*j. Find m, given that l(m) = 0.
-2, -1, 0, 76
Let t be ((-5)/(-2))/(-92 + 97). Let u(p) be the first derivative of -2 - 1/2*p**2 + 0*p + t*p**3. Determine f so that u(f) = 0.
0, 2/3
Factor -1740*k + 7*k**2 + k**2 - 5*k**2 + k**2 - 7*k**2 - 252300.
-3*(k + 290)**2
Let k(y) be the first derivative of 2*y**3/15 - 32*y**2/5 + 24*y + 2393. Factor k(o).
2*(o - 30)*(o - 2)/5
Solve -28*n**2 - 10/3*n**3 + 12 + 58/3*n = 0.
-9, -2/5, 1
Let d(j) be the third derivative of j**5/210 - 421*j**4/42 + 177241*j**3/21 - 933*j**2. Factor d(w).
2*(w - 421)**2/7
Suppose -218*r + 296 + 1026 = 164*r + 279*r. Let i = 6/17 - 7/68. Factor -5/4*m + i*m**r + 3/2.
(m - 3)*(m - 2)/4
Let b(y) be the third derivative of 0*y**5 + 0*y**3 + 2 + 0*y - 1/480*y**6 + 2*y**2 + 1/24*y**4. Factor b(z).
-z*(z - 2)*(z + 2)/4
Factor 0 + 8/11*y**4 + 134*y**3 - 1110/11*y**2 + 0*y.
2*y**2*(y + 185