- 1)*(l + 14)/3
Let h(o) be the first derivative of 11/16*o**2 + 1/40*o**5 + 0*o - 1/24*o**3 - 11/32*o**4 + 91. Determine g, given that h(g) = 0.
-1, 0, 1, 11
Let q(j) = -5*j**3 + 12*j**2 + 215*j + 202. Let t(x) = 10*x**3 - 25*x**2 - 430*x - 405. Let s(z) = -5*q(z) - 2*t(z). Let s(g) = 0. What is g?
-5, -1, 8
Let o(c) = c**3 + 14*c**2 - 23*c - 29. Let g be o(-17). Let q = -500 - g. Solve 4/3*u + 1/3*u**q + 4/3*u**2 + 0 - u**3 - 2/3*u**4 = 0 for u.
-1, 0, 2
Factor -356952 - 165997 - 3*k**2 + 87466 + 2286*k.
-3*(k - 381)**2
Let y(j) be the first derivative of -1/6*j**6 - 3/5*j**5 - 3*j - 1/2*j**2 + 1/2*j**4 - 11 + 2*j**3. What is w in y(w) = 0?
-3, -1, 1
Let x be -1 + -2 - (-5 + 6). Let n be ((x - -11) + -6)*2/3. Factor 0*j**3 - 16/3*j - n*j**4 + 4*j**2 + 2.
-2*(j - 1)**3*(j + 3)/3
Let m be 4 - (-3 + (-2 - -5)). Suppose 29 = 5*r + 19. Determine a, given that -9*a - a**3 - r - 10*a**4 + 2*a + 9*a**m - 4*a**3 - 9*a**2 = 0.
-2, -1
Let f(d) = -7*d**2 - 2054*d - 1067089. Let t(k) = -6*k**2 - 2056*k - 1067089. Let m(i) = 5*f(i) - 6*t(i). Factor m(w).
(w + 1033)**2
Let z(p) be the second derivative of 3*p**5/80 + 5*p**4/16 + p**3/2 + 331*p + 1. Factor z(q).
3*q*(q + 1)*(q + 4)/4
Let a = 220 + -205. Determine u, given that -a*u**2 - 5*u**3 + 13*u + 11*u + 0*u**3 - 4*u = 0.
-4, 0, 1
Find h, given that 250*h**3 + 261*h + 1569*h**2 + 1200*h**5 - 30 - 688*h**3 - 906*h**3 - 2791*h**4 - 3005*h**4 = 0.
-1/2, -1/4, 2/25, 1/2, 5
Let c be (-6)/(-12)*-2 + 1 + -4. Let j(s) = 3*s**2 - 68*s + 436. Let d(f) = 6*f**2 - 135*f + 873. Let r(b) = c*d(b) + 9*j(b). Factor r(p).
3*(p - 12)**2
Let j(g) be the second derivative of -120*g + 0*g**2 + 7/66*g**4 + 2/11*g**3 + 1 - 1/165*g**6 + 0*g**5. Solve j(l) = 0 for l.
-2, -1, 0, 3
Factor -1380 + 9612*h + 11*h**3 + 3249 + 6032*h**2 + 9*h**3 + 1731.
4*(h + 1)*(h + 300)*(5*h + 3)
Let f be ((-1)/(-2))/((-46)/(-8)). Let w(l) = -l**3 + 65*l**2 + 180*l - 25862. Let o be w(61). Factor 10/23*h**o - 10/23 + f*h - 2/23*h**3.
-2*(h - 5)*(h - 1)*(h + 1)/23
Let u(o) be the second derivative of o**4/66 + 14*o**3/33 + 347*o. Factor u(i).
2*i*(i + 14)/11
Let u(p) be the second derivative of -p**6/1260 + p**5/21 - 25*p**4/21 - 40*p**3/3 - 2*p - 37. Let t(s) be the second derivative of u(s). Factor t(w).
-2*(w - 10)**2/7
Suppose 2*y + 5*q - 24 = 0, 6*y + q = 2*y + 30. Suppose -y*c + 244 = -64. What is j in -38 - 26 + 16*j + 4*j**2 + c = 0?
-5, 1
Let i(h) be the third derivative of -11*h**5/210 + 3*h**4/28 + 26*h**3/21 - 15*h**2 + 3*h. Factor i(m).
-2*(m - 2)*(11*m + 13)/7
Let u(a) be the first derivative of 7*a**4/4 + 5*a**3/3 - 638*a**2 + 364*a - 3344. Factor u(s).
(s - 13)*(s + 14)*(7*s - 2)
Let r(g) = 30*g**4 - 1788*g**3 - 3336*g**2 - 1185*g + 339. Let o(v) = -v**4 + v**2 - v + 1. Let q(j) = 3*o(j) - r(j). Suppose q(m) = 0. Calculate m.
-1, 2/11, 56
Suppose -290 = 1442*h - 2178 - 2438. Let 10*t - 2/9*t**4 + 6 - 28/9*t**h + 2/9*t**5 + 4/3*t**2 = 0. Calculate t.
-3, -1, 3
Let j(z) be the second derivative of z**6/180 + z**5/60 + 43*z**3/6 - 20*z. Let u(r) be the second derivative of j(r). Factor u(t).
2*t*(t + 1)
Let u(w) be the first derivative of -31*w**5/5 - 109*w**4 - 431*w**3/3 - 13*w**2 - 3403. What is i in u(i) = 0?
-13, -1, -2/31, 0
Let l(a) = -a**3 + 6*a**2 - 4*a - 2. Let n be (10/6)/((-4)/(-3) - 1). Let f be l(n). Factor 3*z**5 - 27*z**2 + 9*z**2 + 18*z**4 + 29*z**3 + 28*z**f - 60*z**3.
3*z**2*(z - 1)*(z + 1)*(z + 6)
Let d(u) = 4*u**2 + 4*u. Let j be d(-1). Let a(p) be the third derivative of 0*p**4 - 12*p**2 + 0*p + 1/75*p**5 - 2/15*p**3 + j. Determine t so that a(t) = 0.
-1, 1
Factor 14/5*z**3 + 2816/5*z - 768/5 - 452/5*z**2.
2*(z - 24)*(z - 8)*(7*z - 2)/5
Let l be 988/171 + (-2 - (-20)/9). Find k, given that -6*k**2 - 28*k**3 + 93*k**3 - 2 - 28*k**3 - 35*k**3 + l*k = 0.
1
Let o = -35 + 34. Let n = o - -22. Determine m, given that 9 - 144*m - 273*m**2 - 52*m**3 - n - 8 + 3*m**3 = 0.
-5, -2/7
Let z(b) = 7*b**2 - 51*b - 114. Let t(g) = 12*g**2 - 101*g - 224. Let m(o) = 6*t(o) - 11*z(o). Let m(i) = 0. Calculate i.
-6, -3
Let i be 10670/(-873) + 4*3 - ((-1155)/216 + 5). What is r in -i*r**2 + 5/4*r - 9/8 = 0?
1, 9
Let s(h) be the third derivative of -h**8/56 + 10*h**7/21 + 257*h**6/60 + 166*h**5/15 + 7*h**4 + 10*h**2 - 32*h. Suppose s(i) = 0. Calculate i.
-2, -1/3, 0, 21
Let x(l) be the first derivative of -2*l**3/75 + 72*l**2/5 - 2592*l - 68. Factor x(s).
-2*(s - 180)**2/25
Let x = -761511 - -761513. Factor -4/7*s + 24/7 - 4/7*s**x.
-4*(s - 2)*(s + 3)/7
Let -6*a**4 + 171435*a**3 - 171427*a**3 + 2*a**4 - 4*a**5 = 0. Calculate a.
-2, 0, 1
Let q(f) be the third derivative of f**6/840 - f**5/140 - f**4/28 + 4*f**3/21 - 10*f**2 - 41. Let q(y) = 0. What is y?
-2, 1, 4
Factor -1/9*v + 29/9 - 29/9*v**2 + 1/9*v**3.
(v - 29)*(v - 1)*(v + 1)/9
Let y(f) = f**2 - 5*f - 118. Let s(r) = 8*r**2 - 40*r - 951. Let c(i) = -6*s(i) + 51*y(i). Factor c(u).
3*(u - 13)*(u + 8)
Factor -2802/5 + 6/5*b**2 - 2796/5*b.
6*(b - 467)*(b + 1)/5
Let k(o) be the second derivative of -o**5/30 - 17*o**4/9 + 736*o**3/9 - 3200*o**2/3 + 7456*o. Factor k(w).
-2*(w - 8)**2*(w + 50)/3
Let a(h) = -2*h**2 - 4*h + 18. Let v be a(-10). Let t = -130 - v. Factor -t*i**3 - 2*i - 39*i**2 + 12 + 12*i**3 - 10*i - 15*i**3.
-3*(i + 1)*(i + 2)*(5*i - 2)
Let n = 1480184/3 + -493394. Factor 8/3 - 13/3*g**2 + n*g + g**3.
(g - 4)*(g - 1)*(3*g + 2)/3
Let h be ((-4)/(-3) - -1) + (-78)/234. Determine u so that 2744 + 7*u**3 - 15*u**3 + 588*u + 5*u**3 + 42*u**h + 4*u**3 = 0.
-14
Let f(m) = 4*m**2 - m - 19. Suppose 5*k + 3*t - 37 = 0, -3*t + 0 - 3 = 0. Let v(q) = 6*q**2 - 2*q - 28. Let u(r) = k*f(r) - 5*v(r). Factor u(a).
2*(a - 2)*(a + 3)
Suppose 0*t - 8 = -t + 3*p, 2*p + 42 = 4*t. Suppose -125 = t*w - 36*w. Determine a so that 4/7*a**4 + 0 + 5/7*a**3 + 0*a + 2/7*a**2 + 1/7*a**w = 0.
-2, -1, 0
Let r be 11/330*-58 + (-42)/(-18). Let x(j) be the first derivative of -j**2 + 31 + j**4 - 4/3*j**3 + 2*j + r*j**5 - 1/3*j**6. Find v, given that x(v) = 0.
-1, 1
Let z be (-1 + (-6)/(-8))/((-1666)/(-112) + -15). Let l = -81 + 245/3. Determine j so that 0 - l*j + 1/3*j**z = 0.
0, 2
Suppose -9*z + 10*z = -3*m - 3003, -4*z - 4998 = 5*m. Let b = 1002 + m. Factor 0*x + 7/12*x**4 + 5/12*x**3 + 1/4*x**5 + 1/12*x**2 + b.
x**2*(x + 1)**2*(3*x + 1)/12
Let t(h) be the first derivative of -4*h + 1/12*h**3 + 0*h**2 - 38. Factor t(c).
(c - 4)*(c + 4)/4
Let u(o) be the third derivative of 3/8*o**4 - 60*o**2 + 1/20*o**5 + 0*o + o**3 + 0. Suppose u(l) = 0. Calculate l.
-2, -1
Let m(i) be the second derivative of 0*i**2 - 1/18*i**4 - 3 + 7/9*i**3 + 21*i. Solve m(a) = 0.
0, 7
Let h(o) be the third derivative of -o**5/180 - 43*o**4/72 + 22*o**3/9 - 141*o**2 - o. Suppose h(x) = 0. Calculate x.
-44, 1
Let m(i) be the third derivative of i**8/1680 + 16*i**7/525 + 3*i**6/5 + 16*i**5/3 + 50*i**4/3 - 30*i**2 + 17. Suppose m(l) = 0. Calculate l.
-10, -2, 0
Factor -2/11*t**4 - 17248 + 144/11*t**3 + 4032*t - 3824/11*t**2.
-2*(t - 22)**2*(t - 14)**2/11
Let q(k) be the first derivative of 5*k**3/3 + 985*k**2/2 - 5470. Suppose q(l) = 0. What is l?
-197, 0
Let z = 107737 + -107737. Factor 2/13*c**5 + z - 840/13*c**2 - 60/13*c**4 + 392/13*c + 506/13*c**3.
2*c*(c - 14)**2*(c - 1)**2/13
Let y(x) = 92*x**3 - 209*x**2 + 6253*x - 46552. Let q(k) = -122*k**3 + 210*k**2 - 6252*k + 46552. Let w(p) = 3*q(p) + 4*y(p). Factor w(a).
2*(a - 46)**2*(a - 11)
Let h(u) be the first derivative of -u**4/2 + 170*u**3/3 + 86*u**2 + 1986. Factor h(r).
-2*r*(r - 86)*(r + 1)
Find z, given that -134*z**4 + 280 - 14*z**5 + 1984*z + 25114/7*z**2 + 1546/7*z**3 = 0.
-7, -2/7, 5
Factor 50/9*m + 0 - 8/9*m**4 - 220/9*m**2 + 82/9*m**3.
-2*m*(m - 5)**2*(4*m - 1)/9
Let c(w) be the second derivative of -1/18*w**3 + 13/36*w**4 + 1/60*w**5 + 3*w - 13/6*w**2 - 9. Let c(o) = 0. What is o?
-13, -1, 1
Let u = -100 + 147. Let p = u + -41. What is v in -3*v + 93*v**2 - 6 - 46*v**2 - 44*v**2 + p*v = 0?
-2, 1
What is o in 16*o + 5 + 7 - 490588*o**2 + 490587*o**2 + 5 = 0?
-1, 17
Let d(u) = 14*u**3 + 70*u**2 + 91*u + 30. Let h(t) = -54*t**3 - 276*t**2 - 366*t - 123. Let z(g) = 21*d(g) + 5*h(g). What is y in z(y) = 0?
-5/2, -1, -1/4
Let d(i) be the first derivative of 3/4*i**4 + 9 - 3*i**3 + 12*i + 0*i**2. Factor d(u).
3*(u - 2)**2*(u + 1)
Let j(a) be the second derivative of -a**5/10 -