3 = 0.
10, 26
Let 100352/5 - 40320*r - 180*r**3 + 2/5*r**4 + 102146/5*r**2 = 0. Calculate r.
1, 224
Let -928*u + 161472 + 4/3*u**2 = 0. Calculate u.
348
Let a be 132/18 + 21/(-7) - -1. Let r be (0 + (-28)/(-18))/((-25)/(-75)). Let 2/3*f**3 + 28/3*f + r*f**2 + a = 0. What is f?
-4, -2, -1
Let z(c) be the second derivative of -c**5/60 - 233*c**4/4 - 183400*c**3/3 - 549152*c**2/3 - 6639*c. Factor z(g).
-(g + 1)*(g + 1048)**2/3
Factor -146*t - 44*t**2 + 43*t**2 - 35*t.
-t*(t + 181)
Let y(c) be the second derivative of -c**7/840 + c**6/80 + c**4/12 - 107*c**3/6 - 40*c + 3. Let u(j) be the third derivative of y(j). Find h such that u(h) = 0.
0, 3
Suppose 0 = 111*l - 113*l + 4. Determine a, given that 2*a**l - 2/7*a**3 + 2/7*a - 2 = 0.
-1, 1, 7
Let d = -1127809 - -1127811. Factor -158/3*m - 104/3 - m**d.
-(m + 52)*(3*m + 2)/3
Let c be (4/30)/((-24)/22 - 18576/(-1782)). Let p(d) be the second derivative of -c*d**5 - 5/7*d**3 + 3/14*d**4 + 0 + 21*d - 25/7*d**2. Let p(v) = 0. What is v?
-1, 5
Let d(i) = 12*i**4 - 316*i**3 - 1700*i**2 - 1788*i - 28. Let z(v) = -2*v**4 + 58*v**3 + 309*v**2 + 325*v + 5. Let j(u) = -5*d(u) - 28*z(u). Factor j(t).
-4*t*(t + 2)*(t + 4)*(t + 5)
Let z(s) = 23*s**2 + 1258*s + 423790. Let y(g) = 2*g**2 - 4*g - 1. Let f(p) = 22*y(p) - 2*z(p). Find b, given that f(b) = 0.
-651
Let p(a) be the second derivative of -5*a**4/12 + 881*a**3/2 + 529*a**2 + 21*a - 81. Factor p(q).
-(q - 529)*(5*q + 2)
Let n = 81/4717 - -37331/23585. Factor 1/5*t**2 + 2/5*t - n.
(t - 2)*(t + 4)/5
Let h(x) be the first derivative of x**5/270 + 7*x**4/108 + x**2/2 + 7*x + 6. Let y(b) be the second derivative of h(b). Solve y(c) = 0.
-7, 0
Let g(d) be the second derivative of d**6/72 - 7*d**5/12 - 25*d**4/8 + 24*d**3 + 54*d. Let s(l) be the second derivative of g(l). Factor s(i).
5*(i - 15)*(i + 1)
Let s = 56233/6 - 9372. Let m(a) be the first derivative of 1/2*a**2 - 2*a + 4/3*a**3 + s*a**6 - 1/2*a**4 - 2/5*a**5 - 9. Factor m(c).
(c - 2)*(c - 1)**2*(c + 1)**2
Suppose -m + 234*v - 240*v = 8, -8 = -3*m - 2*v. Solve 3/4*o + 3*o**2 - 3/2 + 3/4*o**5 - 3/2*o**3 - 3/2*o**m = 0 for o.
-1, 1, 2
Determine g so that 1068/5 + 2139/5*g + 1074/5*g**2 + 3/5*g**3 = 0.
-356, -1
Let n(k) be the third derivative of -15*k**8/112 + 94*k**7/35 - 41*k**6/20 - 44*k**5/5 + 97*k**4/8 - 6*k**3 + 905*k**2. Determine a so that n(a) = 0.
-1, 1/5, 1/3, 1, 12
Let h be (-3608)/6888*28/(-22). Suppose -1/3*k**2 + h - 1/3*k**4 - k + k**3 = 0. What is k?
-1, 1, 2
Let x be 18/(6/210*15). Factor x*p**2 - 91*p**2 + 2*p**3 + 72 + 35*p**2.
2*(p - 6)*(p - 3)*(p + 2)
Let w(g) be the first derivative of g**7/840 - g**6/120 + g**5/60 + 18*g**3 + 55. Let v(h) be the third derivative of w(h). Solve v(o) = 0.
0, 1, 2
Factor -64*p**4 + 9*p**3 + 28 + 67*p**4 - 621*p - 306 - 90*p**2 - 82 + 249*p.
3*(p - 6)*(p + 2)**2*(p + 5)
Let z(i) be the third derivative of -i**6/900 - 31*i**5/225 - 59*i**4/45 - 232*i**3/45 - 3*i**2 + 9*i + 2. Factor z(r).
-2*(r + 2)**2*(r + 58)/15
Suppose 8*o + 0 = 16. Suppose 0*s - 5*d = -2*s, -4 = -o*d. Factor -s*z**3 - 12*z + 21*z + 10 + 6*z.
-5*(z - 2)*(z + 1)**2
Let f(z) be the first derivative of 5*z**3/3 - 30*z**2 + 180*z - 1976. Determine a, given that f(a) = 0.
6
Let z(b) = -417*b**2 - 7407*b + 2291553. Let m(h) = -185*h**2 - 3704*h + 1145776. Let s(c) = -9*m(c) + 4*z(c). Let s(x) = 0. Calculate x.
618
Let d(s) = -141*s + 93. Let c be d(2). Let t = c + 601/3. What is b in -8/3 + 25/6*b**4 + 95/6*b**3 - t*b - 6*b**2 = 0?
-4, -2/5, 1
Let h(g) be the third derivative of -49*g**2 + 1/60*g**5 + 2*g - 2/3*g**4 + 32/3*g**3 + 0. Solve h(q) = 0 for q.
8
Let t = -34 - -66. Let g(l) = l**3 - 12*l**2 + 11*l + 16. Let f be g(11). Find z such that 66*z**4 - f - t*z - 6*z**2 - 6*z**2 - 62*z**4 + 8*z**3 = 0.
-2, -1, 2
Suppose 4*w + 36 = -2*n, w - 137 = -4*n - 223. Factor 2/3*j + 0*j**3 + 0 - 2/3*j**5 + 4/3*j**4 - 4/3*j**w.
-2*j*(j - 1)**3*(j + 1)/3
Solve 6545/4*x**4 + 14315/4*x**2 - 49/4*x**5 + 131 - 16615/4*x**3 - 1180*x = 0.
2/7, 1, 131
Let p(v) be the third derivative of v**5/60 - 26*v**4/3 - 70*v**3 - 73*v**2 - v + 6. Factor p(j).
(j - 210)*(j + 2)
Suppose -2*v - 9 = 3*q, -5*v + 11 = -8*v - 4*q. Determine i so that -5*i + 14*i**4 - 10*i**2 - 7*i + 6*i + 3*i**3 - 5*i**v - 12*i**4 = 0.
-1, 0, 3
Let r(m) = m - 1. Let q = -57 - -19. Let b be (-3)/4 + q/(-8). Let n(j) = -j**2 - 8*j + 9. Let o(v) = b*n(v) + 36*r(v). What is a in o(a) = 0?
0, 1
Let z(m) = 8*m**2 - 3*m + 2. Let i be z(1). Let q be (i - -4)*(2 + 3). Determine b, given that 29 + 3*b + 26 - 3*b**2 - q = 0.
0, 1
Let w(c) be the first derivative of -c**3/18 + 461*c**2/6 - 212521*c/6 - 399. Factor w(v).
-(v - 461)**2/6
Suppose 4*i = -5*x + 36, -2*i + 27 = i - 4*x. Suppose i = 4*j - 3. Factor -9*v + 1 + 6*v - 2*v**j - v**2 + 6*v - v.
-(v - 1)*(v + 1)*(2*v + 1)
Let g = -1942/19 + 29206/285. Determine b, given that g*b**4 - 2/15*b**5 + 0*b + 2/15*b**3 + 0 - 4/15*b**2 = 0.
-1, 0, 1, 2
Let v(r) = 2*r**3 + r**2 + r. Let l(o) = -2*o**4 - 14*o**3 - 21*o**2 - 7*o. Suppose -8 + 22 = 7*t. Let y(u) = t*l(u) + 22*v(u). Solve y(n) = 0 for n.
0, 1, 2
Let k(d) = 27*d**2 + 1149*d - 1170. Let p(j) = -59*j**2 - 2294*j + 2340. Let q(v) = 13*k(v) + 6*p(v). Determine b, given that q(b) = 0.
1, 390
Let d = -118665/7 - -593402/35. Find p such that 6/5*p**4 - 2*p**3 - 1/5*p**5 + 0*p**2 - 6/5 + d*p = 0.
-1, 1, 2, 3
Let s(p) = -p**5 + 4*p**4 + 527*p**3 + 4551*p**2. Let b(z) = z**4 - 2*z**3 - 4*z**2. Let d(a) = 3*b(a) - s(a). What is x in d(x) = 0?
-13, 0, 27
Solve 830584 + 3242812/3*i + 725398/3*i**2 - 8461*i**3 - 1/3*i**5 + 278/3*i**4 = 0 for i.
-3, -1, 94
Factor 140*w + 46*w**3 - 25*w**4 - 53*w - 87*w - w**5 - 20*w**3.
-w**3*(w - 1)*(w + 26)
Let a be 27/165 - 1/(-5) - (-116)/(-638). Solve a*j**2 + 1352/11 - 104/11*j = 0.
26
Factor 28*v**4 + 2*v**5 + 3*v**2 + 38*v**4 - 2*v**3 - 110*v**4 + 36*v**4 + 5*v**2.
2*v**2*(v - 4)*(v - 1)*(v + 1)
Suppose o + o - 6 = 0. Let g = -1 - -4. Factor 3*d**3 - 168*d**4 + g*d**5 + 6*d**3 + 177*d**4 + o*d**2.
3*d**2*(d + 1)**3
Let x = -1148 - -20665/18. Let l(t) be the first derivative of -1/3*t + 1/4*t**2 + 7 - x*t**3. Factor l(w).
-(w - 2)*(w - 1)/6
Let d(b) = 4*b**2 - 11*b. Let w(a) = -8*a - 2. Let v be w(-1). Let z(u) = -8*u - u**2 + v*u + 5*u. Let y(g) = -6*d(g) - 22*z(g). Factor y(c).
-2*c**2
Let y(d) = d**2 - 9*d + 2. Let i(m) = -7*m + 6*m**2 - 4*m**2 + 0 + 1. Let l(u) = 3*i(u) - 2*y(u). Factor l(k).
(k - 1)*(4*k + 1)
Let l(u) be the third derivative of -u**6/240 + 17*u**5/60 - 9*u**4/16 - 33*u**3/2 + 1195*u**2. Find n, given that l(n) = 0.
-2, 3, 33
Let n(k) be the third derivative of -k**7/315 - k**6/90 + k**5/90 + k**4/18 - 4*k**2 + k + 65. Factor n(o).
-2*o*(o - 1)*(o + 1)*(o + 2)/3
Let l be (-64 - 18)*(1 - 11). Let q(m) = l*m + 0 - 1 - 819*m. Let v(s) = s**3 - 3*s**2 + 3*s + 1. Let t(c) = -3*q(c) + v(c). Factor t(j).
(j - 2)**2*(j + 1)
Let g(a) be the first derivative of a**4/4 - 26*a**3/3 + 125*a**2/2 - 100*a - 1165. Find b such that g(b) = 0.
1, 5, 20
Suppose 0 = 91*v - 23*v - 340. Suppose 28*n = 26*n + 4*g + 4, 3 = 2*n - v*g. Find l such that 1/7*l**n + 8/7*l**3 + 0 + l**2 + 0*l = 0.
-7, -1, 0
Let s(n) be the first derivative of -20/3*n**3 + 2/5*n**5 + 47/14*n**4 - 112 + 16/7*n**2 + 0*n. Suppose s(x) = 0. Calculate x.
-8, 0, 2/7, 1
Suppose 13896 - 5736 = 24*c. Let l be (-2)/(-12)*204/c. Determine i so that 1/10*i + 1/5*i**2 + l*i**3 + 0 = 0.
-1, 0
Let w = -220541/7 + 31507. Determine g, given that -2/7*g**2 - 6/7 + w*g = 0.
1, 3
Let j(n) be the second derivative of n**7/315 - n**6/45 + n**5/30 + n**4/9 - 4*n**3/9 + 59*n**2/2 + 76*n. Let o(y) be the first derivative of j(y). Factor o(d).
2*(d - 2)**2*(d - 1)*(d + 1)/3
Let o(d) be the second derivative of d**5/135 + 2*d**4/27 + 8*d**3/27 - 68*d**2 - 6*d - 4. Let f(h) be the first derivative of o(h). Solve f(u) = 0.
-2
Suppose -2*g + 4*n + 4 = 0, 0*g + 4 = 2*g + n. Suppose -4*z**3 + 18*z + 3*z**g - 96 + 3*z**4 + 96 - 8*z**3 = 0. What is z?
-1, 0, 2, 3
Let v(b) be the first derivative of -b**8/1008 - b**7/315 + b**6/90 + 2*b**5/45 - 26*b**2 - 6. Let m(j) be the second derivative of v(j). Factor m(f).
-f**2*(f - 2)*(f + 2)**2/3
Let p be -27 - -29 - (7/14)/(3/(-6)). Let w(x) be the second derivative of 1/18*x**4 - 2*x + 0 + 2/9*x**p + 1/3*x**2. Factor w(v).
2*(v + 1)**2/3