+ 2)**2*(m + 3)**2/2
Let h be -9*148/999*((-100)/15 + 3). Factor h*k - 2/9*k**2 + 0.
-2*k*(k - 22)/9
Let i(y) = 6*y**2 - 165*y + 144 + 12*y**3 - 10*y**3 + 6*y**2 + 10*y**2. Let q(k) = 3*k**3 + 21*k**2 - 164*k + 144. Let v(l) = -4*i(l) + 3*q(l). Factor v(n).
(n - 12)**2*(n - 1)
Suppose 5*g + 4*o = 138 - 67, g + 4*o - 59 = 0. Factor 6/5*f**2 + 2/5 + 2/5*f**g + 6/5*f.
2*(f + 1)**3/5
Let d(z) = -9*z + 3. Let r be d(-4). Factor -y**2 + 4*y**3 + y**2 - 2*y**5 + 41*y**4 - r*y**4.
-2*y**3*(y - 2)*(y + 1)
Let m(i) = -3*i + 3*i + i. Let u(j) = -4 + 7*j**2 - 12*j + 3*j - 18*j + 41*j. Let f(s) = 6*m(s) - 3*u(s). Let f(g) = 0. What is g?
-2, 2/7
Let n(w) = -20*w**4 + 52*w**3 - 128*w**2 + 136*w - 8. Let y(r) = -2*r**4 + 4*r**2 - r - 1. Let q(i) = -n(i) + 8*y(i). Factor q(l).
4*l*(l - 9)*(l - 2)**2
Suppose -22*w + 19*w + 5 = 5*x, -3*x = 4*w - 14. Factor 6*k**4 + 2*k**2 + 8*k**4 + k**w - 4*k**2 + 5*k**3 - 18*k**4.
k**2*(k - 2)*(k - 1)**2
Let t(l) = -214*l**4 + 173*l**3 - 11*l**2 + 52*l + 13. Let i(h) = -h**4 - 2*h**3 - h**2 + 4*h + 1. Let d(p) = -39*i(p) + 3*t(p). Factor d(k).
-3*k**2*(k - 1)*(201*k + 2)
Let f(n) = 7*n**4 + 157*n**3 - 525*n**2 - 1481*n - 794. Let b(s) = 6*s**4 + 156*s**3 - 522*s**2 - 1479*s - 798. Let m(z) = 4*b(z) - 3*f(z). Factor m(j).
3*(j - 5)*(j + 1)**2*(j + 54)
Let v be ((-36)/14 + (-8)/(-14))*12. Let x = v - -30. Find g, given that 0 - 5 + 3 - x - 8*g - 2*g**2 = 0.
-2
Let l(f) be the second derivative of 32/7*f**2 - 1/42*f**4 + 0 - 219*f + 4/21*f**3. Find p such that l(p) = 0.
-4, 8
Let j(q) = 7*q + 1. Let o be j(-15). Let b = o + 106. Determine i, given that -9 + 81*i**2 - 159*i**b - 12*i + 75*i**2 = 0.
-3, -1
Let g(n) = 10*n + 562. Let f be g(-56). Let w(p) be the first derivative of 3/7*p**3 - 13 + 0*p**f - 3/28*p**4 - 12/7*p. Factor w(m).
-3*(m - 2)**2*(m + 1)/7
Let a(v) be the first derivative of -5*v**4/4 - 125*v**3/3 + 665*v**2/2 + 23465*v - 728. Solve a(s) = 0.
-19, 13
Let o(s) be the third derivative of -s**5/15 - 389*s**4/3 - 302642*s**3/3 + 1648*s**2. Factor o(q).
-4*(q + 389)**2
Let 2/21*p**2 - 412/21 - 202/21*p = 0. What is p?
-2, 103
Let m = 167 - 79. Suppose m + 45 = 7*u. Suppose -u*x**4 - 3*x + 20/3*x**5 - 5/3*x**2 + 2/3 + 49/3*x**3 = 0. What is x?
-2/5, 1/4, 1
Let d(z) be the third derivative of z**6/80 - 9*z**5/4 + 87*z**4/16 + 89*z**3/2 + 5*z**2 + 2*z + 231. Factor d(b).
3*(b - 89)*(b - 2)*(b + 1)/2
Find d such that 693*d + 0 - 3/7*d**2 = 0.
0, 1617
Let r = -23/9509 + 247303/28527. Let -2/3*f**4 + 2*f**2 + r*f**3 + 52/3 - 82/3*f = 0. Calculate f.
-2, 1, 13
Let p = 2581 - 2577. Let k(q) be the first derivative of 0*q - 1/20*q**p + 6 + 4/15*q**3 - 3/10*q**2. Determine b, given that k(b) = 0.
0, 1, 3
Let y(r) be the third derivative of -5*r**5/4 - 53*r**4/4 - 12*r**3 + 1031*r**2 - r. Let y(q) = 0. What is q?
-4, -6/25
Let f(y) = 7*y + 125. Let r be f(0). Solve -4108*i + r*i**2 + 4108*i + 5*i**4 - 50*i**3 = 0.
0, 5
Let f(p) = 241*p**2 + 4812*p - 158. Let j be f(-20). Determine l, given that 10 - 15/2*l**j + 10*l - 5*l**3 + 5/2*l**4 = 0.
-1, 2
Let b(y) = y**2 + 40*y + 83. Let i be b(-42). Let p = 175 - i. Find f, given that 28/3*f - 4/3*f**2 - p = 0.
1, 6
Find o, given that 24*o**3 + 2/3*o**5 + 80/3*o**4 - 394/3*o - 52 - 244/3*o**2 = 0.
-39, -1, 2
Let m(a) be the second derivative of -a**4/114 + 206*a**3/19 + 44*a + 14. Suppose m(f) = 0. Calculate f.
0, 618
Let q be (40/72 + -1)/(3/(-15)). Factor 2/3*y + 2/9*y**2 - q.
2*(y - 2)*(y + 5)/9
Let q(o) = -9*o**4 + 20*o**3 - 32*o**2 + 16*o - 5. Let z(m) = -2 + 3 - 2*m**4 + 3*m**4. Suppose -3 = k + 2. Let j(s) = k*z(s) - q(s). Let j(b) = 0. Calculate b.
0, 1, 2
Let j(k) = 3*k**2 - 1317*k - 1316. Let o(m) = -3*m**2 + 1320*m + 1317. Let f(y) = -3*j(y) - 2*o(y). Factor f(s).
-3*(s - 438)*(s + 1)
Let w be ((-16)/76)/(60/(-1140)). Let s(g) be the first derivative of -5 + g**2 - w*g + 2/3*g**3. Factor s(c).
2*(c - 1)*(c + 2)
Suppose 4*m + 18 = -2*w, 6 - 16 = 8*m + 2*w. Factor 2/5*z**m + 6/5*z + 0.
2*z*(z + 3)/5
Let g be (-12)/(36/(-33))*(-4)/(-11). Let n(i) be the first derivative of -5/8*i**g - 1/12*i**2 + 0*i + 1/2*i**3 - 5/6*i**5 - 14. Suppose n(r) = 0. What is r?
-1, 0, 1/5
Factor 308 - 965*s + 31*s**2 + 5*s**3 + 47 + 680 - 106*s**2.
5*(s - 23)*(s - 1)*(s + 9)
Suppose 5*t + 74 - 54 = 0. Let h(y) = -3*y**2 - 7*y - 12. Let i(s) = 3*s**2 + 8*s + 12. Let q(n) = t*h(n) - 5*i(n). Factor q(r).
-3*(r + 2)**2
Let g(q) = 5*q**3 + 136*q**2 - 2516*q - 2692. Let b(f) = f**2 - f + 3. Let o(l) = 9*b(l) + g(l). Find w, given that o(w) = 0.
-41, -1, 13
Let o(k) = -12*k**2 - 44*k + 48. Let u(h) = 1 - 25*h + h**2 - 22*h + 46*h. Let t(b) = -o(b) - 8*u(b). Factor t(x).
4*(x - 1)*(x + 14)
Let k(b) be the second derivative of -5/6*b**3 - 11/4*b**2 + 26*b + 1/24*b**4 + 0. Factor k(f).
(f - 11)*(f + 1)/2
Let k be 26*4/(336/822). Let v = k + -254. Suppose 0*t + 3/7*t**2 - v = 0. Calculate t.
-1, 1
Let m = 567142 - 34030087/60. Let q = m + 131/5. Factor -q*a**4 + 1/12*a**2 + 0 + 5/12*a - 5/12*a**3.
-a*(a - 1)*(a + 1)*(a + 5)/12
Suppose 0 = -6*i + 5*i + 25. Suppose 0 = i*q - q - 96. Solve -1/6*j**3 + 1/6*j**2 + 0*j + 0 - 1/6*j**q + 1/6*j**5 = 0 for j.
-1, 0, 1
Factor -32/9 + 4/3*a + 2/9*a**2.
2*(a - 2)*(a + 8)/9
Factor 1/3*z**2 - 64/3*z + 0.
z*(z - 64)/3
Let i(c) be the first derivative of -4 + 4*c - 1/6*c**4 + 0*c**2 + 0*c**3. Let g(k) be the first derivative of i(k). Factor g(p).
-2*p**2
Suppose -1496/7 - 2/7*k**2 - 382/7*k = 0. Calculate k.
-187, -4
Factor -40/7*y**2 + 2/7*y**3 - 416/7*y - 128.
2*(y - 28)*(y + 4)**2/7
Let s = 293/12 + -3023/84. Let y = s - -12. Let -2/7 + 1/7*g**2 + 1/7*g**4 + 3/7*g - y*g**3 = 0. What is g?
-1, 1, 2
Let i(n) be the second derivative of -2*n**7/9 - 8*n**6/45 + 31*n**5/15 + 16*n**4/9 - 8*n**3/3 - 637*n. What is w in i(w) = 0?
-2, -1, 0, 3/7, 2
Let c(m) be the second derivative of 0*m**2 + 0*m**5 + 7/3*m**3 + 8*m + 0 - 1/1440*m**6 + 1/24*m**4. Let z(f) be the second derivative of c(f). Factor z(t).
-(t - 2)*(t + 2)/4
Let n(x) be the first derivative of x**3/5 - 156*x**2/5 - 327*x - 3347. Factor n(b).
3*(b - 109)*(b + 5)/5
Let m(q) = -40*q**3 - 349*q**2 + 1932*q - 2118. Let v(y) = y**4 + 2*y**3 - 2. Let s = -453 + 457. Let g(c) = s*m(c) - 4*v(c). Factor g(u).
-4*(u - 2)**2*(u + 23)**2
Let w(o) be the first derivative of -13*o + 73 + 4*o + 7*o**3 - 8*o**3 + 6*o**2. Determine t, given that w(t) = 0.
1, 3
Let h = 150001/10 - 15000. Let m(d) be the first derivative of 15 - h*d**4 + 6/5*d + d**2 + 2/15*d**3. Let m(i) = 0. Calculate i.
-1, 3
Suppose 5*x - 210 = 6*a - a, -3*a = 2*x + 126. Let g = a - -44. Factor 2*u + 8*u - 6 - 7 + 5 - g*u**2.
-2*(u - 4)*(u - 1)
Suppose 0 = t + 5*n + 17, -11*t - n = -10*t + 1. Solve -5*i**t + 15*i**2 + 30*i - 11*i**2 - 29*i**2 + 0*i**2 = 0 for i.
-6, 0, 1
Let n(m) = -8*m**4 - 124*m**3 - 452*m**2 - 468*m. Let z(o) = -7*o**4 - 124*o**3 - 451*o**2 - 459*o. Let a(i) = -3*n(i) + 4*z(i). Solve a(h) = 0 for h.
-27, -2, 0
Suppose -158*o + 527 = 107*o - 268. Factor -o + 1/2*u + 1/2*u**2.
(u - 2)*(u + 3)/2
Let s(u) be the first derivative of -5*u**4/7 + 104*u**3/21 - 32*u**2/7 - 128*u/7 - 881. Suppose s(d) = 0. Calculate d.
-4/5, 2, 4
Let x(y) be the second derivative of -14 + 0*y**2 - y - 1/2*y**4 + 1/8*y**3 + 3/5*y**5. Factor x(u).
3*u*(4*u - 1)**2/4
Factor 3099*x - 1735377 - 668*x - 895421 - 3*x**2 + 2561*x + 554126.
-3*(x - 832)**2
Let a(t) be the first derivative of 33 + 4/5*t + 3/5*t**2 - 8/5*t**3 + 7/10*t**4. Suppose a(j) = 0. What is j?
-2/7, 1
Suppose 413*h - 28 = -12*r + 409*h, 0 = 2*h - 0 + 4. Solve 1/5*j**r + 11/5*j + 6/5*j**2 + 6/5 = 0 for j.
-3, -2, -1
Let r(m) be the first derivative of 3/5*m**3 - 147 - 3/20*m**4 - 36/5*m + 6/5*m**2. Factor r(h).
-3*(h - 3)*(h - 2)*(h + 2)/5
Let u(v) = 139*v + 20157. Let p be u(-145). What is r in 16/3*r + 8/3 + 2*r**p = 0?
-2, -2/3
Let n = 45 + -43. Factor 0 - 605 - 4*x**n - x**2 - 110*x.
-5*(x + 11)**2
What is j in 0 + 3/4*j**3 + 0*j + 825/4*j**2 = 0?
-275, 0
Let o(r) be the third derivative of r**5/60 - r**4/24 + r**3/6 + 4*r**2. Let m(t) = 3*t**2 + 7 + 18*t - t + 1. Let b(y) = m(y) + 2*o(y). Factor b(p).
5*(p + 1)*(p + 2)
Let d(o) be the second derivative of -55/12*o**4 - 1/4*o**5 + 11*o - 35/6*o**3 + 735/2*o**2 - 7. Solve d(m) = 0.
-7, 3
Let y(p) be the second derivative of -5*p**7/42 - 3*p**6/2 - 2*p*