 3)/9
Let b(g) = -3*g**2 + 71*g - 420. Let r be b(21). Let u be -39*2/r + 3/(-18). Suppose u*f + 25/7*f**3 + 0 + 10/7*f**2 = 0. Calculate f.
-1/5, 0
Let q(p) be the second derivative of 0 + 3/2*p**2 + 1/60*p**4 + 40*p + 8/15*p**3. What is a in q(a) = 0?
-15, -1
Let k = -1677 + 5035/3. Let g = -16 + 50/3. Factor 0*m**2 - 4/3*m**3 - g*m**4 + k*m + 2/3.
-2*(m - 1)*(m + 1)**3/3
Suppose -1190*b - 286 = -1216*b. Factor b*t**2 + 0 + 121/2*t + 1/2*t**3.
t*(t + 11)**2/2
Let m = -3931 - -3933. Let d(a) be the third derivative of 10*a**m + 0 + 2/15*a**4 + 0*a - 1/75*a**5 - 8/15*a**3. Suppose d(u) = 0. What is u?
2
Let a = -1509337/7 - -215621. Solve -a*n**2 - 12/7*n - 2/7*n**3 + 0 = 0.
-3, -2, 0
Factor -1 + 7/3*n**2 + 4/3*n.
(n + 1)*(7*n - 3)/3
Suppose 353 - 416 = -7*h. Suppose h*s - 5*s = 8. What is n in 1/7*n**s + 1/7*n - 1/7 - 1/7*n**3 = 0?
-1, 1
Let l(m) = m**2 + 4*m - 1. Let k be l(-7). Let r(i) = 5*i**2 + i - 3. Let g be r(-2). Solve 148*v - g - k*v**2 - 7 - 34 = 0.
2/5, 7
Let r(x) be the third derivative of 0 - 11/16*x**4 - 17/120*x**5 + 0*x + 1/18*x**3 + 251*x**2 + 5/72*x**6. Determine b, given that r(b) = 0.
-1, 1/50, 2
Let h = 45 + -43. Determine n so that n**3 + n**h - 2750*n - n**4 + 2749*n + 0*n**4 = 0.
-1, 0, 1
Let g(r) = -72*r**3 - 3*r**2 - r + 1. Let v be g(-1). Let z = -61 + v. Factor -z*p + 9*p + 2*p**2 + 0*p**2 - p.
2*p*(p - 1)
Let n = 1/1284 - -8631/428. Let z = 245/12 - n. Factor 11/4*l - l**2 - 3/2 - z*l**3.
-(l - 1)**2*(l + 6)/4
Let g be (12/13)/((-149)/(-1937)) + 4 + 0. Suppose -24*y**2 + 32/3 + 16*y - 92/3*y**3 + g*y**4 + 12*y**5 = 0. What is y?
-2, -2/3, 1
Suppose -9/2*r + 0 - 3/4*r**4 + 3/4*r**2 + 9/2*r**3 = 0. What is r?
-1, 0, 1, 6
Let g(v) be the first derivative of -5*v**6/6 + 28*v**5 - 55*v**4/4 - 2060*v**3/3 - 1350*v**2 + 4312. Solve g(o) = 0.
-2, 0, 5, 27
Let q = -1258 + 1259. Let l be q*(-1*8/(-4))/7. Factor -l - 2/7*d**2 + 4/7*d.
-2*(d - 1)**2/7
Let m(k) be the first derivative of k**6/720 + 7*k**5/180 + k**4/16 - 139*k**3/3 - 252. Let s(l) be the third derivative of m(l). Factor s(p).
(p + 9)*(3*p + 1)/6
Solve -51/2*n**2 + 3/4*n**4 - 48*n + 3/4*n**3 + 72 = 0.
-4, 1, 6
Let v = -1322998 - -1323000. Determine c, given that -16/21 - 2/3*c + 2/21*c**v = 0.
-1, 8
Suppose -4*d + 26 = -t, -5*t + 2*d = -8*t + 20. Let l = -4 + 4. Let 1/11*r**t + l - 2/11*r = 0. What is r?
0, 2
Let w(r) be the second derivative of 0*r**2 + 0*r**3 + 0 + 1/42*r**7 - 1/5*r**5 + 0*r**4 - 1/10*r**6 + 78*r. Solve w(c) = 0 for c.
-1, 0, 4
Let x be -3 - (-15 - 2*(-3)/6). Find d such that x*d - d - 12*d**2 - 80 + 82 = 0.
-1/6, 1
Let i = -545 - -438. Let l = 111 + i. Factor 0 + 0*u**2 - 1/2*u + 0*u**l + u**3 - 1/2*u**5.
-u*(u - 1)**2*(u + 1)**2/2
Let p(j) = 13 + 7*j + 22 - 10*j**3 + 11*j + 4*j**3 + 3*j**3 - 47*j**2. Let l be p(-16). Factor 1/2*q**l + 0*q**2 - 1/2*q + 0.
q*(q - 1)*(q + 1)/2
Let u(k) be the third derivative of -k**5/20 + 43*k**4/8 - 231*k**3 + 823*k**2 + k + 1. Let u(f) = 0. Calculate f.
21, 22
Let c(v) be the second derivative of -v**6/60 + 11*v**4/24 - 3*v**3/2 + 2*v**2 + 1137*v. Determine q, given that c(q) = 0.
-4, 1, 2
Suppose 363*m = 354*m + 18. Suppose 179*i**2 + 176 + 29*i + 143*i - 90*i**m - 93*i**2 = 0. What is i?
-1, 44
Let c be (-2)/2*1/(8/(-48)). Let o be c/4*(1 - -1). Solve 1/2 + 0*p**2 + 3/4*p - 1/4*p**o = 0.
-1, 2
Let k(a) be the third derivative of a**6/40 - 3*a**5/28 + a**4/28 + 49*a**2 - 4*a. Factor k(n).
3*n*(n - 2)*(7*n - 1)/7
Let -93*t + 926*t**4 - 37 - 557 + 11*t**3 + 591*t**2 - 461*t**4 - 462*t**4 + 82*t**3 = 0. Calculate t.
-22, -9, -1, 1
Let o be (-9)/(-30) - (-1134)/420. Let b(y) be the second derivative of 3*y - 2*y**2 + 0 + 1/3*y**4 + 0*y**o. Factor b(a).
4*(a - 1)*(a + 1)
Let c(y) = -5*y - 3. Let s be c(-1). Determine v, given that -v**2 + 2*v**2 - 6*v**s + 10*v + 0*v**2 = 0.
0, 2
Let f be 1*((-176)/(-616))/(3/14). Find c such that -4/3*c + f*c**3 + 2/3*c**2 - 2/3*c**4 + 0 = 0.
-1, 0, 1, 2
Let l(a) = -8*a**3 + 54*a**2 - 72*a + 16. Let g(d) = 33*d**3 - 217*d**2 + 282*d - 64. Let z(u) = -6*g(u) - 26*l(u). Factor z(q).
2*(q - 8)*(q - 2)*(5*q - 1)
Suppose 0 = -2*x - 8 + 20. Factor -x*d**4 + 16*d + 73*d**3 + 2*d**4 - 85*d**3.
-4*d*(d - 1)*(d + 2)**2
Let m be -2 + (4 + -3)*-3 + 7. Suppose -21*v**3 + 4*v**4 - 299*v**2 + 169*v**2 + 222*v**m + 48 - 112*v - 11*v**3 = 0. What is v?
1, 2, 3
Let h = -119535/4 + 358637/12. Factor -2/3*p**2 - 2 - h*p.
-2*(p + 1)*(p + 3)/3
Let i(y) be the first derivative of -38*y**6/39 + 2*y**5/65 + 76*y**4/13 - 8*y**3/39 + 149. Find t such that i(t) = 0.
-2, 0, 1/38, 2
Let c(g) be the second derivative of 0*g**2 + 5/4*g**5 + 0 + 45/4*g**4 + 6*g + 25/3*g**3. Find a, given that c(a) = 0.
-5, -2/5, 0
Let s(i) = -i**4 - 3*i**2 - 2*i - 4. Let u(m) = -2*m**4 + 4*m**3 - 4*m**2 - 4*m - 12. Let c(h) = -6*s(h) + 2*u(h). Factor c(o).
2*o*(o + 1)**2*(o + 2)
Let a(j) be the first derivative of -5*j**4/4 + 8*j**3 - 15*j**2/2 - 4*j + 773. Factor a(t).
-(t - 4)*(t - 1)*(5*t + 1)
Factor 4/5*f + 2/5*f**2 + 0 - 2/5*f**3.
-2*f*(f - 2)*(f + 1)/5
Let s(v) be the second derivative of -9*v + 1/21*v**4 + 8 + 0*v**2 - 20/7*v**3. Factor s(f).
4*f*(f - 30)/7
Find g such that 218*g**2 + 282 + g**3 + 626 + 692*g**2 + 871*g + 0*g**3 + 946*g = 0.
-908, -1
Suppose 26 = 3*d - 2*c, 8*d - 3*d + 2*c - 6 = 0. Let l be (-46)/(-35) + (-14)/(-35). Solve 12/7*g - 9/7*g**2 - 12/7*g**3 - 3/7*g**d + l = 0.
-2, -1, 1
Let i(t) be the first derivative of -99 - 45/2*t**5 + 25*t**3 + 517/16*t**4 + 0*t + 27/8*t**6 + 9/2*t**2. Find r, given that i(r) = 0.
-2/9, 0, 3
Solve -225/4*r**5 + 0*r + 249/4*r**4 - 6*r**3 + 0 + 0*r**2 = 0.
0, 8/75, 1
Let q(h) be the third derivative of 0 + 3*h - 6*h**2 + 143/100*h**5 + 23/40*h**4 + 1/10*h**3 + 121/200*h**6. Suppose q(f) = 0. What is f?
-1, -1/11
Let f(o) be the third derivative of -o**8/211680 - o**7/7560 - o**6/630 - o**5/60 + o**3/2 + 15*o**2. Let s(b) be the third derivative of f(b). Factor s(q).
-2*(q + 3)*(q + 4)/21
Let m(i) = -i**2 + 14*i + 64. Let h be m(16). Let -160*k**3 - 47*k + 144*k**3 - 17*k - h - 48*k**2 - 2*k**4 = 0. Calculate k.
-2
Let i(t) be the third derivative of 121*t**2 + 0*t**3 - 1 + 0*t**4 - 4/105*t**5 + 1/245*t**7 + 1/1176*t**8 - 1/70*t**6 + 0*t. Suppose i(z) = 0. Calculate z.
-4, -1, 0, 2
Suppose 18*b - 12131 = -12023. Let p(z) be the first derivative of 1/15*z**b - 8 - 1/5*z**4 + 0*z**2 + 0*z**3 + 2/25*z**5 + 0*z. Let p(n) = 0. What is n?
-2, 0, 1
Suppose -1599 = -20*t - 1559. Let v = -4 - -7. Determine h, given that -25*h**2 - 43*h**t + 98*h**2 - 5*h**v = 0.
0, 6
Factor 8346562 + 483/2*t**2 + 77763*t + 1/4*t**3.
(t + 322)**3/4
Factor -210*g - 6062 + 3063 + 4*g**3 + 18*g**2 + 3099.
2*(g - 5)*(g + 10)*(2*g - 1)
Let s(v) be the second derivative of 3*v**5/20 - 523*v**4/4 + 68643*v**3/2 - 204363*v**2/2 + 3144*v. Factor s(t).
3*(t - 261)**2*(t - 1)
Let j = -642 - -596. Let o be 84/70*(j/(-18) - 2). Determine k so that o*k**3 + 18 + 6*k**2 + 18*k = 0.
-3
Suppose -4*t = 18 - 30. Let g(i) = 8*i - 20. Let s be g(t). What is y in -10*y**3 + 0 + 0 + 12*y**4 - 10*y**s = 0?
0, 5
Let u(v) be the first derivative of -4*v**3/3 - 684*v**2 - 4068*v - 8149. Determine o, given that u(o) = 0.
-339, -3
Suppose -y = -13, 34*q - 3*y + 138 = 67*q. Suppose p**4 - 1/5*p**5 + 0*p + 0 - 8/5*p**2 - 2/5*p**q = 0. What is p?
-1, 0, 2, 4
Let h(t) be the third derivative of t**6/72 + 3*t**5/8 - 25*t**4/12 + 47*t**3/6 - 2*t**2 + 54. Let x(b) be the first derivative of h(b). Factor x(c).
5*(c - 1)*(c + 10)
Factor -56/3*c - 40/3 - 6*c**2.
-2*(c + 2)*(9*c + 10)/3
Let k(v) be the third derivative of 2*v + 0 - 56*v**2 - 1/105*v**5 - 83/84*v**4 + 2*v**3. Factor k(d).
-2*(d + 42)*(2*d - 1)/7
Let f(m) be the first derivative of m**4/28 + 10*m**3/7 - 41. Determine d, given that f(d) = 0.
-30, 0
Let l(i) = -3*i**2 + 81*i + 238. Let c(y) = 65*y**2 - 1790*y - 5235. Let z(a) = -2*c(a) - 45*l(a). Factor z(k).
5*(k - 16)*(k + 3)
Let g(m) be the third derivative of -m**7/1365 - 11*m**6/195 + 23*m**5/65 - 35*m**4/39 + 47*m**3/39 + 2*m**2 - 1243. Factor g(j).
-2*(j - 1)**3*(j + 47)/13
Let u(n) = n**3 + 109*n**2 + 2420*n + 67. Let w be u(-31). Determine d so that 9/8*d**3 + 1/8*d**w + 0 + 1/4*d + 5/8*d**4 + 7/8*d**2 = 0.
-2, -1, 0
Let t be 15/35 + (-125)/(-35). Suppose -a + 16 = -3*g + 7*g, -3*a + 16 = t*g. Let 7/2 + 1/2*l*