1, 0, 2/7, 1
Determine n, given that 18818/5*n**2 + 72/5 + 2328/5*n = 0.
-6/97
Let f(q) = -12*q - 45. Let s(m) = 23*m + 91. Let w(c) = 5*f(c) + 3*s(c). Let l be w(-5). Solve -38/5*j**2 + 22/5*j - 4/5 + 26/5*j**l - 6/5*j**4 = 0 for j.
1/3, 1, 2
Let a be 1746/12*24/10. Let q = 354 - a. Suppose 3*u**4 - 9/5 - 24/5*u + q*u**3 - 6/5*u**2 = 0. Calculate u.
-1, -3/5, 1
Let l(v) = 8*v**2 - 58. Let z(f) = -2*f + 1. Let c(j) = l(j) + 10*z(j). Factor c(b).
4*(b - 4)*(2*b + 3)
What is v in -4*v**2 + 40*v + 25 + 3 - 128 = 0?
5
Let p(j) be the first derivative of 0*j + 1/2*j**2 + 3 - 1/330*j**5 + 0*j**3 + 0*j**4. Let h(m) be the second derivative of p(m). Factor h(z).
-2*z**2/11
Let s(p) be the first derivative of 3*p**4/16 + 3*p**3/4 + 3*p**2/4 + 3. Factor s(z).
3*z*(z + 1)*(z + 2)/4
Let w = 126 + -1511/12. Let p(n) be the third derivative of 0*n + w*n**3 + 2*n**2 - 1/120*n**5 + 0 + 0*n**4. Factor p(t).
-(t - 1)*(t + 1)/2
Factor -11*v**3 - 31*v**2 - 3*v**4 + v**5 - v**3 + 5*v**4 + 27*v**2 - 3*v**4 + 16*v.
v*(v - 4)*(v - 1)*(v + 2)**2
Let l = -30455/11 + 2769. Let -l*x + 2/11 + 2/11*x**2 = 0. Calculate x.
1
Let h be 1/(-4) - (4 - (-5106)/(-72)). Let g(x) be the first derivative of 0*x + 2 - 144*x**5 + 121*x**4 - 48*x**3 + h*x**6 + 8*x**2. What is c in g(c) = 0?
0, 2/5, 1/2
Let u = -2255/2 - -1129. Let p(q) be the second derivative of 0 + u*q**2 - 1/60*q**5 + 7/36*q**4 - 5/6*q**3 - 11*q. Let p(v) = 0. What is v?
1, 3
Let a(k) be the first derivative of -k**4/4 + 4*k**3 - 18*k**2 + 235. What is y in a(y) = 0?
0, 6
Let q(v) be the first derivative of v**3/9 + 83*v**2/3 + 55*v + 756. Determine x, given that q(x) = 0.
-165, -1
Let r(v) be the third derivative of -v**6/90 + 4*v**5/15 + 3*v**4/2 - 25*v**3/3 - 37*v**2. Let s(u) be the first derivative of r(u). Find p such that s(p) = 0.
-1, 9
Let y(r) be the first derivative of r**6/36 - r**5/5 - 3*r**4/8 + 7*r**3/9 + 87. Factor y(o).
o**2*(o - 7)*(o - 1)*(o + 2)/6
Suppose 49 = -25*n + 149. Let c(w) be the third derivative of 0*w**n - 8/3*w**3 + 2*w**2 + 0*w + 1/15*w**5 + 0. Factor c(z).
4*(z - 2)*(z + 2)
Let l(j) be the first derivative of -j**3/8 + 141*j**2/16 - 69*j/4 + 234. Factor l(v).
-3*(v - 46)*(v - 1)/8
Let l = 1832/2301 - 32/177. Factor 2/13*d**4 + 8/13*d**3 + 2/13 + l*d + 12/13*d**2.
2*(d + 1)**4/13
Let u(h) = -h**3 - 9*h**2 - 6*h**2 + 25*h - 8 + 25*h**2. Let x be u(12). Factor 2/7*o**x + 0*o**3 + 0*o + 0 + 0*o**2.
2*o**4/7
Let s(v) be the second derivative of -v**6/45 - v**5/10 - v**4/6 - v**3/9 - 175*v. Factor s(z).
-2*z*(z + 1)**3/3
Let c(m) = 18*m**2 - 936*m - 18267. Let a(l) = 5*l**2 - 234*l - 4567. Let k(b) = 15*a(b) - 4*c(b). Factor k(x).
3*(x + 39)**2
Let w(h) be the third derivative of h**5/210 + 17*h**4/42 + 289*h**3/21 - 3*h**2 - 1. Factor w(l).
2*(l + 17)**2/7
Let v = 23/52 - -4/13. Factor 3*k + v*k**2 + 0.
3*k*(k + 4)/4
Factor 11/7*l**2 + 0 + 3/7*l - 4/7*l**3.
-l*(l - 3)*(4*l + 1)/7
Factor 26*j**2 - 8/5*j**3 + 0 - 32/5*j.
-2*j*(j - 16)*(4*j - 1)/5
Let f(q) be the first derivative of -q**5/50 + q**4/6 - q**3/5 - 9*q**2/5 - 3*q - 7. Let a(v) be the first derivative of f(v). Factor a(k).
-2*(k - 3)**2*(k + 1)/5
Let r = -1/483371 + 36736493/143561187. Let w = r + -2/27. Let -4/11*c**3 + w*c**5 + 2/11*c + 0*c**2 + 0*c**4 + 0 = 0. What is c?
-1, 0, 1
Factor 1/5*d**3 + 0*d - 19/5*d**2 + 0.
d**2*(d - 19)/5
Suppose -102*w + 128 + 40*w**2 - 25*w + w - 4*w**3 + 0*w - 2*w = 0. Calculate w.
2, 4
Suppose -5*t + 11 = 4*a, -5*t + 4*a = -t + 20. Let h be t/(20/8 + -3). Factor 12*y**h + y**2 - 6 + 2 - 3*y**2 + 6*y.
2*(y + 1)*(5*y - 2)
Let r(q) be the second derivative of -3*q**5/160 - 19*q**4/32 - 115*q**3/16 - 675*q**2/16 - 881*q. Find l, given that r(l) = 0.
-9, -5
Let a = -197 + 201. Let x(s) be the first derivative of 2/45*s**5 + 1 + 10/27*s**3 + 2/9*s**a + 0*s + 2/9*s**2. Find j, given that x(j) = 0.
-2, -1, 0
Determine o, given that -13 + 63/2*o + 5/2*o**2 = 0.
-13, 2/5
Factor -32 + 8*k**4 - 34*k - 15*k**3 - 90*k - 29*k**3 - 198*k**2 + 54*k**2.
4*(k - 8)*(k + 1)**2*(2*k + 1)
Let v(s) be the third derivative of 3/140*s**6 + 0*s + 5/84*s**4 - 2/21*s**3 - 13*s**2 + 0 + 8/105*s**5. Let v(o) = 0. What is o?
-1, 2/9
Let y = -278 + 278. Let p(v) be the third derivative of 21/25*v**5 + v**4 + y*v + 8/15*v**3 + 0 + 49/300*v**6 + 5*v**2. Factor p(q).
2*(q + 2)*(7*q + 2)**2/5
Let v(b) be the first derivative of -b**8/1344 - b**7/280 - b**6/160 - b**5/240 - b**2/2 + 24. Let j(i) be the second derivative of v(i). Factor j(h).
-h**2*(h + 1)**3/4
Let q(r) be the second derivative of 5*r**7/42 - r**6/2 - 13*r**5/4 + 85*r**4/4 - 30*r**3 + 277*r. What is w in q(w) = 0?
-4, 0, 1, 3
Let v(r) be the second derivative of -r**6/80 + 9*r**5/160 + r**4/8 + 12*r - 3. Let v(p) = 0. What is p?
-1, 0, 4
Let 433 + 2*u**3 + 3*u**3 - 368 + 75*u**2 + 135*u = 0. What is u?
-13, -1
Let h(f) = 4*f**2 + f - 1. Let v be h(1). Determine u, given that -38 - 4*u**3 - 2*u**2 + v*u**2 - 10 + 32*u + 2*u**2 = 0.
-3, 2
Let q(p) be the first derivative of -3*p**5/25 + 18*p**4/5 - 166*p**3/5 + 396*p**2/5 - 363*p/5 + 109. Find z such that q(z) = 0.
1, 11
Solve -38*l - 5*l**3 - 46*l + 104*l + 15*l**2 = 0.
-1, 0, 4
Let h(b) be the first derivative of 1 - 1/12*b**6 + 1/2*b**2 - 1/2*b**3 + 0*b + 3/10*b**5 - 1/8*b**4. Solve h(v) = 0 for v.
-1, 0, 1, 2
Let o(q) be the third derivative of -q**7/315 - 17*q**6/180 + 19*q**5/30 - 59*q**4/36 + 20*q**3/9 + 576*q**2. Factor o(s).
-2*(s - 1)**3*(s + 20)/3
Suppose -4*z + w - 4 = 0, -36*w + 8 = -4*z - 34*w. Let d(m) be the third derivative of -m**2 + 1/16*m**4 - 1/40*m**5 + 0*m**3 + z + 0*m. Factor d(r).
-3*r*(r - 1)/2
Let s(v) = v**2 + v - 10. Let t be 15/(-6)*8/5. Let r be s(t). What is q in 9/5*q - 3/5*q**r - 6/5 = 0?
1, 2
Factor -67*t**4 - t**2 + t**5 - t - 7*t**3 - 4 + 72*t**4 + 9*t - 2*t**5.
-(t - 2)**2*(t - 1)**2*(t + 1)
Let 24 - 11*u - 41 + 4*u**2 + 87*u - 63 = 0. Calculate u.
-20, 1
Factor 34/11*g - 2/11 + 294/11*g**3 - 182/11*g**2.
2*(3*g - 1)*(7*g - 1)**2/11
Let v = -17403 + 17405. Determine k so that 2 + 1/4*k**3 - 1/2*k**v - k = 0.
-2, 2
Let r(m) be the first derivative of m**6/48 + 11*m**5/40 + 45*m**4/32 + 27*m**3/8 + 27*m**2/8 + 25. Let r(u) = 0. Calculate u.
-3, -2, 0
Let w(x) be the third derivative of -1/140*x**7 + 0*x**3 + 0 + 1/224*x**8 - 1/80*x**6 + 1/40*x**5 + 0*x**4 - 17*x**2 + 0*x. Solve w(z) = 0.
-1, 0, 1
Let f(a) be the second derivative of 5*a - 1/50*a**5 + 0 + 1/3*a**3 + 1/10*a**4 + 2/5*a**2 - 1/75*a**6. Factor f(y).
-2*(y - 2)*(y + 1)**3/5
Let t(m) be the first derivative of -2*m**3/3 + 280*m**2 - 39200*m + 125. Suppose t(v) = 0. Calculate v.
140
Let m be (1 - (-21)/(-12))/((-32)/128). Let o(t) be the first derivative of -t**2 - 1 + 1/6*t**m + 2*t. Factor o(p).
(p - 2)**2/2
Let u(q) be the first derivative of q**4/18 + 8*q**3/27 + q**2/9 - 4*q/3 - 23. Factor u(f).
2*(f - 1)*(f + 2)*(f + 3)/9
Let a be (-54)/(-60) - 4/10. Let o be 11/66 - (105/(-18) - -4). Factor 0 + 0*l + a*l**3 + 0*l**o - 1/4*l**5 + 1/4*l**4.
-l**3*(l - 2)*(l + 1)/4
Suppose -5*z = 11*z - 32. Let g be 2/z + 4 - 3. Factor 9/5*x**g - 6/5*x - 3/5*x**4 + 0*x**3 + 0.
-3*x*(x - 1)**2*(x + 2)/5
Let o(r) = 242*r**2 + 2*r. Let i be o(1). Solve -45*j**5 + 200*j + 60 - 155*j**3 + 135*j**2 - 235*j**4 - 204*j**4 + i*j**4 = 0.
-3, -1, -2/3, 1
Let v = 44 - 37. Let 3*j**2 + 2*j**3 - 15*j**2 - j**4 - v*j**5 + 6*j**5 - 9*j + 5*j**4 = 0. Calculate j.
-1, 0, 3
Let u(n) be the first derivative of 0*n - 1/2*n**2 + 1 + 1/120*n**5 + 1/4*n**3 - 1/12*n**4. Let d(y) be the second derivative of u(y). Factor d(g).
(g - 3)*(g - 1)/2
Suppose 987*m = 993*m. Factor 0 + m*t + 6/5*t**2 - 2/5*t**3.
-2*t**2*(t - 3)/5
Let g(j) be the first derivative of 2*j**5/5 + 7*j**4/2 + 22*j**3/3 + 5*j**2 - 283. Factor g(b).
2*b*(b + 1)**2*(b + 5)
Let v = 1264/1515 + -1/1010. Factor -2/3*r**2 + 1/6*r**3 + v*r - 1/3.
(r - 2)*(r - 1)**2/6
Let c = 6/175 - 181/6300. Let b(v) be the third derivative of 0*v + 0 - c*v**4 + 0*v**3 - v**2 + 1/450*v**5. Suppose b(j) = 0. What is j?
0, 1
Let r(q) be the third derivative of q**6/300 + 23*q**5/75 + 3*q**4/4 - 319*q**2. Factor r(t).
2*t*(t + 1)*(t + 45)/5
Let f(x) = -6*x + 2. Let k be f(3). Let r(t) = t**3 + 15*t**2 - 15*t + 19. Let v be r(k). What is o in 4*o**2 + 23*o + 4*o**v - 23*o = 0?
-1, 0
Suppose -31/2*c**2 - 1/2*c**3 + 3