 14*d**2 + 46*d**2 + 25*d + 561*d**3 + 6.
3*(d + 1)**2*(9*d + 2)
Let r(x) = 3*x**2 - 7569*x. Let g(c) = -3*c**2 + 7459*c. Let n(d) = 6*g(d) + 7*r(d). Determine m, given that n(m) = 0.
0, 2743
Let f be ((-2126)/168 - 96/1008)*20/(-25). Determine y, given that -f*y**2 + 0 - 3/5*y**3 + 0*y = 0.
-17, 0
Let x(s) = -s**3 + 43*s**2 - 54*s - 243. Let k be x(42). Let v = k + 3767/5. What is w in -32/5 + v*w**2 - 12/5*w**4 + 2/5*w**5 - 24/5*w + 2*w**3 = 0?
-1, 2, 4
Suppose -8*m + 5*m + 15 = 3*z, 2*z = 5*m - 32. Find v such that 8*v - 16 - 2*v**4 - 8*v**3 + 36*v**2 - 72*v**2 - m*v**3 - 48*v = 0.
-2, -1
Solve -393/4*n - 1/4*n**2 + 0 = 0.
-393, 0
Let w be (4 - 12)/(5/((-10)/4)). Let 14*i**2 - 2*i**2 + 61*i**3 - 34*i**w - 9*i**5 - 37*i**3 + 37*i**4 = 0. What is i?
-1, -2/3, 0, 2
Suppose 2406*d = 2468*d - 372. Let p(l) be the third derivative of 0*l - 1/12*l**5 - 1/24*l**d + 6*l**2 + 0 + 0*l**3 + 0*l**4. Solve p(w) = 0.
-1, 0
Factor 4/3 - n - 1/3*n**2.
-(n - 1)*(n + 4)/3
Let v(y) = 6*y**4 + 29*y**3 + 3*y**2 - 8*y - 16. Let x(m) = -m**4 - 2*m**3 + 2*m**2 - m. Let s(c) = -3*v(c) - 21*x(c). Determine n, given that s(n) = 0.
-1, 1, 16
What is y in -24*y**2 + 4/5*y**3 + 608/5*y - 768/5 = 0?
2, 4, 24
Let b(z) be the first derivative of z**5/90 + z**4/27 + z**3/27 + 102*z + 49. Let c(d) be the first derivative of b(d). What is j in c(j) = 0?
-1, 0
Suppose 3*m + 0 = 9. Suppose 0 = -m*f - f + 12. Factor -l**4 - 5*l**2 + 4*l + 0*l - f*l**3 - 5*l + 2*l**2.
-l*(l + 1)**3
Let w(l) be the second derivative of l**5/50 + l**4/3 - 9*l**3/5 - 36*l**2/5 + 13*l + 4. Determine q so that w(q) = 0.
-12, -1, 3
Factor -206892/5*b**2 - 2251746/5*b - 1900*b**3 - 218/5*b**4 - 2/5*b**5 - 9798138/5.
-2*(b + 21)**3*(b + 23)**2/5
Factor 0*a + 0 + 4/9*a**4 - 6904/9*a**3 + 2300/3*a**2.
4*a**2*(a - 1725)*(a - 1)/9
Let n(t) be the first derivative of 0*t + 1/54*t**6 - 71 - 2/27*t**3 - 4/45*t**5 + 0*t**2 + 5/36*t**4. Factor n(a).
a**2*(a - 2)*(a - 1)**2/9
Let g(p) be the first derivative of -4*p**3/3 - 350*p**2 - 1384*p - 7147. Factor g(l).
-4*(l + 2)*(l + 173)
Let p(l) be the second derivative of 0*l**2 - 1/4*l**5 - 1/15*l**6 + 1/2*l**3 + 0 + 1/3*l**4 + 23*l. Factor p(q).
-q*(q - 1)*(q + 3)*(2*q + 1)
Let k(h) be the first derivative of -h**6 - 64*h**5/5 - 11*h**4/2 + 284*h**3 - 308*h**2 - 784*h - 1343. Find j, given that k(j) = 0.
-7, -2/3, 2
Factor -9400/11*y + 2/11*y**2 + 11045000/11.
2*(y - 2350)**2/11
Let t(r) be the first derivative of -159*r**4/22 - 656*r**3/33 - 179*r**2/11 - 20*r/11 - 10685. Let t(n) = 0. Calculate n.
-1, -10/159
Let t = 32743571558/20444743655 - -104/3263327. Let c = t - 2/1253. What is z in 0 + 0*z**3 + 0*z**2 - 2/5*z**4 + 0*z + c*z**5 = 0?
0, 1/4
Suppose -72900*r - 4/3*r**3 - 540*r**2 - 3280500 = 0. What is r?
-135
Find m, given that 2/7*m**3 - 142*m - 126 - 110/7*m**2 = 0.
-7, -1, 63
Suppose 59*m = 164 + 13. Factor 6*v**4 - m*v**2 - 3*v**4 + 286 - 286.
3*v**2*(v - 1)*(v + 1)
Factor 16*b**2 + 12*b**3 + 269*b**4 - 147*b - 45*b + 256 + 263*b**4 - 534*b**4.
-2*(b - 4)**2*(b - 2)*(b + 4)
Let w(j) be the third derivative of -j**6/240 + 23*j**5/120 + 13*j**4/8 - 2291*j**2. Solve w(l) = 0 for l.
-3, 0, 26
Let w(g) be the first derivative of 34*g**5/115 - 86*g**4/23 + 206*g**3/23 - 170*g**2/23 + 32*g/23 + 5438. Find y, given that w(y) = 0.
2/17, 1, 8
Let i(m) be the first derivative of -m**6/72 - m**5 - 30*m**4 - 80*m**3/3 + 32. Let t(r) be the third derivative of i(r). Determine o, given that t(o) = 0.
-12
Let n(w) = -9*w + 38. Let i be n(-14). Find v, given that 7*v + 39*v**2 - 123*v - 43*v**2 - i + 52 = 0.
-28, -1
Let j(a) = 8*a**4 - 16*a**3 + 27*a**2 - 20*a - 14. Suppose -28*p + 14 = 98. Let y(f) = -f**4 + f**3 - f + 2. Let v(s) = p*j(s) - 21*y(s). Factor v(x).
-3*x*(x - 3)**3
Let u(v) = 6*v**2 - 4 - 4*v**3 + 11*v + 16*v**3 - 3*v**2. Let s(g) = g**3 + g. Suppose -150*h = -45*h + 1801 + 509. Let y(q) = h*s(q) + 2*u(q). Factor y(a).
2*(a - 1)*(a + 2)**2
Let n be -10 + (6118/(-21))/(-19). Let y(t) be the first derivative of -2/3*t**6 - 2 - 6*t**4 + 16/5*t**5 - 2*t**2 + n*t**3 + 0*t. Factor y(p).
-4*p*(p - 1)**4
Let j(p) be the third derivative of p**10/37800 - p**8/630 + 4*p**6/45 - p**5/60 + p**3/3 - 29*p**2 + p. Let g(r) be the third derivative of j(r). Factor g(o).
4*(o - 2)**2*(o + 2)**2
Solve -1287/4*m**3 - 849/4*m**2 + 0 - 27/4*m**4 - 141/4*m = 0.
-47, -1/3, 0
Let y be (1 + 94)/(7 + -8). Let b = y - -110. Factor -4*r**2 - 9*r**2 - 12*r + b*r**2.
2*r*(r - 6)
Let y = -704932 + 704936. Factor 11/5*l - 6/5 + 1/5*l**2 + l**y - 11/5*l**3.
(l - 1)**2*(l + 1)*(5*l - 6)/5
Let d(f) be the third derivative of f**6/120 - 173*f**5/60 + 902*f**4/3 + 3872*f**3 - 577*f**2. Factor d(h).
(h - 88)**2*(h + 3)
Let t be (-67)/(-25) - 132/(-1100). Solve 1/5*i**2 - t + i = 0 for i.
-7, 2
Let z = -3/2233 - -1917/2233. Let q = 405 - 2826/7. Factor 3/7*b**2 - q*b + z.
3*(b - 2)*(b - 1)/7
Let d(b) = -5*b**2 - 262*b - 1429. Let n(g) = 20*g**2 + 1060*g + 5715. Let v(z) = 15*d(z) + 4*n(z). Factor v(s).
5*(s + 5)*(s + 57)
Factor 4*z**2 - 4 - 2/3*z**3 + 2/3*z.
-2*(z - 6)*(z - 1)*(z + 1)/3
Find d, given that -89*d**5 - 390*d**2 - 191 + 240*d - 92*d**5 + 184*d**5 - 717*d + 2 - 102*d**3 + 3*d**4 = 0.
-3, -1, 7
Let u(y) = -76 + 65 + 14*y**3 + 8*y - 38*y - 49*y**2. Let x(h) = -5*h**3 + 17*h**2 + 10*h + 4. Let z(f) = 4*u(f) + 11*x(f). Factor z(a).
a*(a - 10)*(a + 1)
Suppose 41*t = -132*t. Solve 0*r + 1/8*r**3 + t - 5/8*r**2 = 0.
0, 5
Let m = -381 - -383. Factor -84*k**m + 159*k + 3*k**3 - 49 + 61 - 90.
3*(k - 26)*(k - 1)**2
Let z = -109 + 121. Factor 9*t - 2*t - z*t**4 + 16*t**2 + 10*t - 20*t**3 - t.
-4*t*(t - 1)*(t + 2)*(3*t + 2)
Let x(u) be the third derivative of -u**7/1155 - 13*u**6/330 - 37*u**5/110 - 21*u**4/22 - 3275*u**2. Determine r, given that x(r) = 0.
-21, -3, -2, 0
Suppose 5*l + 11 - 911 = -5*h, l - 5 = 0. Factor 9*x**2 + h*x**4 - 12*x**3 - 112*x - 105*x**2 - 171*x**4.
4*x*(x - 7)*(x + 2)**2
Let s be -2 + 0 - 3 - -15 - -3. Suppose -4*b + s = -5*h, 3*b + 3*h - 1 = -2*h. Suppose 1/2*q**b + 7/4*q**3 - 1/2 - 7/4*q = 0. What is q?
-1, -2/7, 1
Let q(c) = -53*c**2 + 363*c + 59. Let o be q(7). Find m such that -1/8*m**o + 1/2*m - 3/8*m**2 + 0 = 0.
-4, 0, 1
Factor -4/5*d**2 + 0 + 32/5*d.
-4*d*(d - 8)/5
Let t = 24657/30815 + -1/6163. Let i(j) be the second derivative of -j**4 - 3*j - t*j**5 - 2/15*j**6 + 0 + 8/3*j**3 + 8*j**2. Factor i(g).
-4*(g - 1)*(g + 1)*(g + 2)**2
Let x(a) be the second derivative of -3/4*a**5 + 1/14*a**7 + 3/4*a**4 + 0*a**2 + 0 + 2*a**3 - 3/10*a**6 - 4*a. Factor x(g).
3*g*(g - 4)*(g - 1)*(g + 1)**2
Solve -7*c**3 - 22/3*c**2 + 0 - 1/3*c**5 - 8/3*c - 8/3*c**4 = 0.
-4, -2, -1, 0
Let m(l) = -21*l**2 - 2190*l + 3818. Let g be m(-106). Solve 56/3*y**g - 640/3*y + 196/3*y**3 - 512/3 = 0 for y.
-8/7, 2
Let w be 18/4 - (5 + -21 - -17)*0. Factor -27/4*f**3 + w*f**2 + 6 + 15*f.
-3*(f - 2)*(3*f + 2)**2/4
Find l, given that 36/11*l + 0 - 2/11*l**2 = 0.
0, 18
Let b(g) be the first derivative of g**6/3 + 8*g**5/5 - 4*g**4 - 20*g**3/3 + 23*g**2 - 20*g + 633. Determine s so that b(s) = 0.
-5, -2, 1
Suppose 7*b = 5*b + 6. Let u(k) = -k**3 - k**2 - 1. Let x(p) = 12*p**3 - 39*p**2 - 33*p + 15. Let h(g) = b*u(g) - x(g). Find o such that h(o) = 0.
-1, 2/5, 3
Let w = -22 - -26. Suppose 0 + 8 = w*z. Solve 176*k**2 - 6*k**3 + 0*k**5 + 2*k**5 - 178*k**z + 2*k**4 + 4*k = 0 for k.
-2, -1, 0, 1
Suppose -6*u - 2241 = 69. Let q = -383 - u. Suppose -9/5*m - 3/5*m**3 - 3/5 - 9/5*m**q = 0. Calculate m.
-1
Factor 156*s**2 - 30*s**3 + 2/3*s**4 + 0 + 0*s.
2*s**2*(s - 39)*(s - 6)/3
Let d(c) be the second derivative of -c**7/126 + 13*c**6/45 - 18*c**5/5 + 184*c**4/9 - 448*c**3/9 + 1137*c. Suppose d(l) = 0. What is l?
0, 4, 14
Factor -3456/11*v - 156/11*v**2 - 15552/11 - 2/11*v**3.
-2*(v + 6)*(v + 36)**2/11
Let n(m) = -110*m**3 + 21*m**2 + 31. Let x(f) = -55*f**3 + 11*f**2 + 16. Let c(h) = -6*n(h) + 11*x(h). Let l(o) be the first derivative of c(o). Factor l(w).
5*w*(33*w - 2)
Let z(m) be the third derivative of m**7/630 - m**6/36 - 4*m**5/5 - 5*m**4/24 + m**3/6 - 5*m**2 - 2*m. Let i(h) be the second derivative of z(h). Factor i(r).
4*(r - 8)*(r + 3)
Determine a so that 940/11*a + 0 - 2/11*a**2 = 0.
0, 470
Let n(p) be the third derivative of 17*p**4/3 - 136*p**3/3 + 14*p**2 + 5. Let w be n(2). Factor w*j + 1/2*j**