h) = 34*h**2 - 12. Let z(a) = 6*a**2 + a + 3*a**2 - 3*a**2 - 3*a**2. Let p(r) = 2*x(r) - 22*z(r). Find j such that p(j) = 0.
-1, 12
Let z = 41760/49553 - -102/7079. Suppose 324/7*p + z*p**3 + 0 + 174/7*p**2 = 0. What is p?
-27, -2, 0
Let w(l) = 19*l - 25. Suppose -17 = -4*h - 5. Let u be w(h). Factor i**4 + 3*i**4 + u*i + 36*i**3 + 96*i**2 + 32*i.
4*i*(i + 1)*(i + 4)**2
Let r(x) be the first derivative of 3*x**5/20 + 5*x**4/4 + 3*x**3/2 + 7*x**2/2 - 99. Let g(w) be the second derivative of r(w). Solve g(b) = 0.
-3, -1/3
Let k(i) = -4*i**4 + 6*i**3 + 5*i**2 - 5*i - 5. Let u(o) = 3*o**4 - 6*o**3 - 5*o**2 + 4*o + 4. Let w(d) = 4*k(d) + 5*u(d). Let w(g) = 0. What is g?
-5, -1, 0
Suppose 25 = 32*a - 31*a. Suppose -23*g + a*g = 56. Suppose 6*u**3 - 4*u - 4*u**3 + 30*u**2 - g*u**2 = 0. Calculate u.
-2, 0, 1
Let s(t) be the second derivative of t**4/6 + 170*t**3 + 65025*t**2 - 2*t - 101. Let s(r) = 0. Calculate r.
-255
Let u(g) be the second derivative of -7/6*g**4 + g**3 - 7/90*g**6 + 0 + 0*g**2 + 61/120*g**5 + 1/252*g**7 + 282*g. Factor u(b).
b*(b - 6)**2*(b - 1)**2/6
Factor -80*f**3 + 1020*f + 10 + 22*f**2 + 30*f**3 - 915*f + 23*f**2.
-5*(f - 2)*(f + 1)*(10*f + 1)
Let l = 125027 - 125021. Determine o, given that 17/3*o**2 + 0 - 4/3*o**3 - l*o = 0.
0, 2, 9/4
Let u(y) = -6*y**2 - 180*y - 321. Let f(s) = 7*s**2 + 184*s + 320. Let d(x) = -3*f(x) - 4*u(x). Factor d(h).
3*(h + 2)*(h + 54)
Let x = -536 - -539. Suppose 15*j**x - 18*j - 7*j + 60*j - 10*j - 80*j**2 = 0. What is j?
0, 1/3, 5
Let x(r) be the second derivative of -3 + 5/12*r**3 + 3/2*r**2 + 1/24*r**4 - 27*r. Solve x(o) = 0 for o.
-3, -2
Let a(x) = -15*x**3 + 150*x**2 - 155*x - 10. Suppose 234 - 74 = -32*c. Let r(q) = 8*q**3 - 75*q**2 + 79*q + 6. Let s(d) = c*r(d) - 3*a(d). Factor s(f).
5*f*(f - 14)*(f - 1)
Let o(s) be the second derivative of 5/9*s**3 + 2/9*s**4 + 2/3*s**2 + 1/30*s**5 + 0 - 30*s. Suppose o(l) = 0. Calculate l.
-2, -1
Let q(z) be the third derivative of 0*z + 1/40*z**6 - 5/8*z**4 - 3/2*z**3 - 3 + 29*z**2 - 1/20*z**5. Factor q(i).
3*(i - 3)*(i + 1)**2
Let l be (-137)/(-137) - ((-7)/3 - -2). Let w = -28 - -86/3. Factor 0 - l*h**3 + w*h**2 + 4/3*h - 2/3*h**4.
-2*h*(h - 1)*(h + 1)*(h + 2)/3
Let w(h) = -3*h**2 - 3*h. Let t(p) = 2*p**2 + 10*p + 6. Let x be t(-7). Let l = 39 - x. Let k(d) = 2*d**2 + 3*d. Let u(n) = l*w(n) + 6*k(n). Factor u(o).
-3*o*(o - 1)
Let y(b) be the first derivative of b**4/16 + 7*b**3/12 + 3*b**2/4 + 1962. Find c, given that y(c) = 0.
-6, -1, 0
Solve -3/2*k**2 - 13392216 - 8964*k = 0 for k.
-2988
Let q(x) be the second derivative of -x**5/80 + x**4/8 + 7*x**3/24 + 1176*x. Find n, given that q(n) = 0.
-1, 0, 7
Factor 124*h**2 - 435 + 4493*h**3 - 2*h**4 + 216*h - 4547*h**3 - 29.
-2*(h - 2)**2*(h + 2)*(h + 29)
Suppose 0 = 5*g - m - m + 28, -4*g - m - 12 = 0. Let x be ((-14)/(-4) - 5)/(2/g). Factor 8*k**x - 14*k**3 + k**2 - 2*k - 2*k**2 + 7*k**3.
k*(k - 2)*(k + 1)
Suppose -4*s + 3*s + 3 = 0. Suppose -s*u + 7 - 1 = 0. Factor -5*l + 5*l**3 - l**u + 2*l**2 - 6*l**2 + 5*l**4.
5*l*(l - 1)*(l + 1)**2
What is p in 2/7*p - 48/7*p**4 + 2/7*p**3 + 0 + 12/7*p**2 + 32/7*p**5 = 0?
-1/4, 0, 1
Factor -27/7*r + 48 - 3/7*r**2.
-3*(r - 7)*(r + 16)/7
Let n be 37772/168 + (-1)/(-6). Let p be (n/(-35))/(0 - (-10)/(-35)). Suppose 26*l - 61*l**2 + 123/2*l**3 - p*l**4 - 4 = 0. What is l?
2/5, 2/3, 1
Let k(v) be the first derivative of -26*v**3/5 + 94*v**2 - 48*v/5 + 257. Find q, given that k(q) = 0.
2/39, 12
Let f(k) be the first derivative of -2/3*k**5 - 37/9*k**4 + 250/9*k + 25/3*k**2 - 1/27*k**6 - 220/27*k**3 + 126. Determine n so that f(n) = 0.
-5, -1, 1
Suppose 3*m = -5*n - 2, 18 = 4*n - 5*n - 5*m. Let 109*h**5 - 6*h**3 - 105*h**5 + 3*h**2 + 2*h + h**2 - 2*h**4 - 2*h**n = 0. What is h?
-1, -1/2, 0, 1
Solve 24/11*p**2 - 2*p + 0 - 2/11*p**3 = 0.
0, 1, 11
Let x(f) be the second derivative of -2*f**7/21 + 158*f**6/15 - 1978*f**5/5 + 14318*f**4/3 + 69782*f**3/3 + 37030*f**2 + 3564*f. Solve x(u) = 0 for u.
-1, 23, 35
Let -7744/7 - 2137/7*y**2 - 1098/7*y**3 + 10736/7*y - 81/7*y**4 = 0. What is y?
-8, 11/9
Let f be ((-40)/(-100) - (-16)/(-15))*-3. Suppose -176*b**3 + 4048*b + 2116 + 544*b**2 + 150*b**2 + 4*b**4 - 111*b**2 + 417*b**2 + 752*b**f = 0. What is b?
-1, 23
Let s(j) = -j**2 - j - 7. Let u = -408 - -398. Let z(m) = 22 + 4*m + m**2 + 5*m**2 - 2*m**2. Let p(r) = u*s(r) - 3*z(r). Find v such that p(v) = 0.
-2, 1
Let b = -209143 - -209155. Factor -18*n**2 + 27/4*n**3 + 0 + b*n - 3/4*n**4.
-3*n*(n - 4)**2*(n - 1)/4
Let l be (224928/(-3360) + 67)/(2/7). Let 0*q + l*q**3 + q**2 + 0 = 0. Calculate q.
-5, 0
Suppose 0 = -7*r - 20 + 48. Factor -12*q**3 - q**4 - 8*q**2 - 25*q**5 - 4*q**4 - q**r + 24*q**5.
-q**2*(q + 2)**3
Suppose -9*v + y - 8 = -12*v, -4*v = 5*y - 18. Let 6*m + 0*m + 6*m + 30*m**v - 9*m + 75*m**3 + 0*m**3 = 0. What is m?
-1/5, 0
Let k(w) = -3*w**3 - 24*w**2 + 79*w + 108. Let g(b) = 7*b**3 + 49*b**2 - 157*b - 217. Let f(c) = -8*g(c) - 18*k(c). Determine v, given that f(v) = 0.
-1, 8, 13
Suppose -4*d + 16 = 2*l, l - 2 = -3*d + 10. What is h in 8*h**2 - 8 - 54*h**d + 54*h**4 - 18*h + 16*h**3 - 4*h**5 + 6*h = 0?
-1, 1, 2
Factor -396*s + 309*s**2 + 0 - 117/2*s**3 + 3/2*s**4.
3*s*(s - 33)*(s - 4)*(s - 2)/2
Let y(d) be the second derivative of d**5/100 - 7*d**4/30 + 7*d**3/10 + 18*d**2/5 - 348*d + 2. Factor y(o).
(o - 12)*(o - 3)*(o + 1)/5
Let j = 85 - 82. Factor -226*b**j + 229*b**3 - 2 + 2 + 9*b**2 + 6*b.
3*b*(b + 1)*(b + 2)
What is j in -3/4*j**2 + 225/4*j + 57 = 0?
-1, 76
Solve -4*z**2 + 148*z - 2390116 - 2847*z - 3485*z = 0.
-773
Let h(o) = -o**4 - 36*o**3 - 190*o**2 + 190*o + 2303. Let k(i) = -i**4 - 2*i**3 + 2*i**2 + 2*i + 1. Let p(c) = h(c) + k(c). Factor p(t).
-2*(t - 3)*(t + 6)*(t + 8)**2
Let w(h) = -7*h**3 + 212*h**2 - 412*h + 201. Let q(p) = -37*p**3 + 1062*p**2 - 2061*p + 1004. Let s(n) = -3*q(n) + 16*w(n). Suppose s(o) = 0. Calculate o.
1, 204
Let s be 17 - ((-1)/1 - -3). Suppose 43 = 4*d + 5*y, -2*d + s = y - 2. Solve 47*h**5 + 7 + 12*h**3 - 45*h**5 - d + 8*h**2 - 16*h - 10*h**4 = 0.
-1, 0, 2
Let n = 4181/17156 + 27/4289. Solve 225 + n*i**2 + 15*i = 0 for i.
-30
Let b(t) be the second derivative of 6*t**6/5 - 21*t**5 + 142*t**4/3 + 64*t**3 - 320*t**2 - 3*t + 629. Solve b(i) = 0.
-1, 4/3, 10
Suppose 0 = n + 24 - 38. Let t(o) be the second derivative of 0*o**3 + 0*o**4 + 0 - n*o + 3/56*o**7 + 1/20*o**6 - 3/80*o**5 + 0*o**2. What is h in t(h) = 0?
-1, 0, 1/3
Let 188/5*p - 2/5*p**2 + 198 = 0. What is p?
-5, 99
Let n be (-1376)/(-320) - (12/60 - (-7)/(-5)). Suppose 0*p + 0 - n*p**3 - p**2 = 0. Calculate p.
-2/11, 0
Let w(i) be the second derivative of 5*i**5/4 - 485*i**4/12 + 1195*i**3/3 - 440*i**2 + 51*i - 1. Determine o so that w(o) = 0.
2/5, 8, 11
Let i(b) = -b**3 - 3*b**2 + 19*b + 9. Let y be i(-7). Let q be ((-7)/21)/(0 + (-22)/y). Factor -6/11*g**5 + 18/11*g**4 - q*g**2 - 6/11 - 12/11*g**3 + 18/11*g.
-6*(g - 1)**4*(g + 1)/11
Let i(a) = a**2 - 86*a - 178. Let s be i(-2). Let q be s/3 + 700/375. Find n such that q*n - 1/5*n**2 - 8/5 = 0.
2, 4
Let r = -15/109 + 154/327. Let k(h) be the second derivative of -3/40*h**5 + 1/180*h**6 + r*h**4 + 0*h**2 - 4/9*h**3 + 11*h + 0. Factor k(j).
j*(j - 4)**2*(j - 1)/6
Let b = -356 + 423. Let x be (-5 - b/(-8)) + (-9)/3. Let -3/8*l**3 + x*l + 0 - 3/8*l**4 + 3/8*l**2 = 0. Calculate l.
-1, 0, 1
Let h(l) = -4*l**2 + 21*l + 205. Let u(o) = -o**2 + 5*o + 51. Let j(f) = -6*h(f) + 26*u(f). Solve j(g) = 0.
-6, 8
Let u = 36 + -1770/49. Let v = -4/833 - u. Let v*s**3 + 8/17 - 6/17*s**2 + 0*s = 0. Calculate s.
-1, 2
Let -124/7 + 27/7*a + 1/7*a**2 = 0. Calculate a.
-31, 4
Factor -5038*l - 1882217 - 4712*l - 2870908 - 5*l**2.
-5*(l + 975)**2
Let g(p) = -p**2 + 5. Let o be g(-3). Let v be 62/(-341) + o/(-11). Let -2/11*c**2 + v*c + 4/11 = 0. Calculate c.
-1, 2
Let g(j) = 2*j**2 + 39*j + 51. Let d be g(37). Factor 112*m**2 - 1585*m - 899*m - 25*m**3 + 21*m**3 + d + 80*m**2.
-4*(m - 23)**2*(m - 2)
Let w = -3/1864 - -1873/5592. Let b(d) be the second derivative of 2/5*d**6 - 23*d + w*d**4 + 3/5*d**5 + 0 + 0*d**3 + 0*d**2 + 2/21*d**7. Solve b(z) = 0.
-1, 0
Determine n, given that 12/5*n**2 + 4/5*n**3 - 16/5*n + 0 = 0.
-4, 0, 1
Let t be 16*(-4)/(-8)*7. Factor -64 + 23*z + 257*z - 122*z**2 + 12*z**3 - t*z + 22*z**2.
4*(z - 4)**2*(3*z - 1)
Determine h,