4)*(l + 24)
Let t(m) = 54*m + 11187. Let v be t(-207). What is s in 29/5*s**2 + v - 66/5*s - 4/5*s**3 = 0?
5/4, 3
Let -129*g + 10*g**5 - 10*g**4 - 60*g**2 - 25*g**5 - 51*g + 115*g**3 + 10*g**5 = 0. What is g?
-6, -1, 0, 2, 3
Suppose 245 = 141*l - 601. Let f(h) be the second derivative of -4/21*h**3 + 2/105*h**l - 4/35*h**5 + 5/21*h**4 + 0 + 0*h**2 - 21*h. Factor f(z).
4*z*(z - 2)*(z - 1)**2/7
Let p be (-1)/(-23) - 152089056/(-486864). Factor -3/7*f**2 - 162/7*f - p.
-3*(f + 27)**2/7
Suppose 50*n + 232 + 32*n**2 + 102*n**2 - 232*n**2 + 96*n**2 = 0. Calculate n.
-4, 29
Let l = 50414/5219 - 2496/307. What is h in -8/17*h**3 + l*h**2 + 0 - 6/17*h = 0?
0, 1/4, 3
Let f = 2354 - 2354. Let i(s) be the first derivative of f*s**3 + s**4 + 0*s**2 + 15 + 0*s + 4/5*s**5. Suppose i(c) = 0. Calculate c.
-1, 0
Let v be 6/(-32) - 1705/(-2480). Let y(i) be the first derivative of 22 - 9/2*i**2 + 15/2*i + v*i**3. Factor y(d).
3*(d - 5)*(d - 1)/2
Suppose b + 29 = 2*h, -h - 3*b + 1 + 10 = 0. Suppose -h = -4*r - 6. Determine f, given that 6*f**3 - r*f**4 + 4*f - 2*f**2 - 4*f - 10*f**3 = 0.
-1, 0
Suppose -4*v = v - j - 16, v + 4*j = -1. Let z(m) = 13122*m + 26246. Let n be z(-2). Factor 3*d - 12/5*d**n + 3/5*d**v - 6/5.
3*(d - 2)*(d - 1)**2/5
Suppose 0 = 4*v - 56 + 416. Let j be (-13)/(65/v) - 5. Let -4*o**5 + j*o**5 - 5*o**4 + 21*o - o - 4*o**5 - 20 - 25*o**3 + 25*o**2 = 0. What is o?
-2, -1, 1, 2
Let b(a) = -a**3 + 3*a**2 + 13. Let x be b(0). Let f(u) = 8*u**2 - 103*u - 11. Let d be f(x). Factor 1/3*k**d + 1/9 + 4/9*k.
(k + 1)*(3*k + 1)/9
Let k be 1 + (-3 + 1)/(-2). Let l be (-4 - (-26)/7)/(1/(-7)). Factor -9 + 983*p**l - 978*p**k + 1 + 5*p - 2.
5*(p - 1)*(p + 2)
Let i(o) be the first derivative of -2*o**3/21 + 37*o**2/7 + 76*o/7 - 2085. Factor i(h).
-2*(h - 38)*(h + 1)/7
Let y = -89 + 175. Factor 71874 + 113*a**2 - 61*a**2 - 2*a**3 + 60*a**2 - 6534*a + y*a**2.
-2*(a - 33)**3
Suppose 9*z + 11 + 169 = 39*z. Find p, given that -3/5*p**2 - 27/5 - z*p = 0.
-9, -1
Let t be 10/((-770)/(-33)) - (-4)/(112/100). Factor 0*a + 0*a**2 + 44/7*a**t - 2/21*a**5 + 0 - 726/7*a**3.
-2*a**3*(a - 33)**2/21
Let p = -6489 - -6489. Let j(f) be the first derivative of 1/2*f**6 + 0*f + p*f**3 - 18/5*f**5 - 9 + 0*f**2 + 27/4*f**4. Factor j(i).
3*i**3*(i - 3)**2
Let h = 143 - 140. Find g such that 0*g**h + 100*g - g + g**3 - 22 - 99 + 21*g**2 = 0.
-11, 1
Solve 0*z**2 - 6*z + 1/8*z**3 - 16 = 0 for z.
-4, 8
Suppose 58*p - 90 - 26 = 0. Let s(z) be the first derivative of 0*z**2 + 0*z - 27/5*z**5 + 0*z**3 - 9 + 3/2*z**4 + p*z**6. Determine u so that s(u) = 0.
0, 1/4, 2
Let f(l) = -2*l**2 - 2*l + 12. Let a be (-26)/(-117) - 34/(-9). Let i(v) = -2*v**2 - v + 13. Suppose -3 = -4*b - 23. Let w(d) = a*i(d) + b*f(d). Factor w(x).
2*(x - 1)*(x + 4)
Let t(l) be the third derivative of 4/7*l**3 + 1 + 0*l - 15*l**2 - 1/210*l**5 + 1/84*l**4. Factor t(o).
-2*(o - 4)*(o + 3)/7
Factor -3/2*k**3 - 684450*k + 1366875/4 + 8103/4*k**2.
-3*(k - 675)**2*(2*k - 1)/4
Let d(i) be the first derivative of 7/16*i**6 - 38 + 183/40*i**5 - 15/2*i - 285/32*i**4 + 33/2*i**2 - 41/8*i**3. Determine p so that d(p) = 0.
-10, -1, 2/7, 1
Suppose -440*j**3 - 267*j**2 - 435*j**3 + 18*j**4 + 935*j**3 - 21*j**4 + 210*j = 0. What is j?
0, 1, 5, 14
Let l be 2*(10 + 3 - 12). Let m(f) be the first derivative of 1/9*f**3 - 8 + 0*f + 1/6*f**l. Factor m(h).
h*(h + 1)/3
Suppose 8*i - 26 = 6. Let 0 + 5 - i + 0 + 11*z**2 - 12*z = 0. Calculate z.
1/11, 1
Let f(w) be the first derivative of -1/3*w**3 + 501*w + 151/2*w**2 - 14. Let k(v) = 30*v + 100. Let p(l) = -4*f(l) + 22*k(l). Factor p(u).
4*(u + 7)**2
Let v be 651/147 - (-12)/(-28). Let m(h) be the third derivative of 1/60*h**5 + 16*h**2 + 0*h**3 + 5/24*h**v + 0 + 0*h. Determine c so that m(c) = 0.
-5, 0
Let l = 67 + -69. Let x(c) be the third derivative of -c**5/60 - c**4/24 + 5*c**3/6 + 8*c**2. Let u(w) = -w + 1. Let s(d) = l*x(d) + 10*u(d). Factor s(i).
2*i*(i - 4)
Let n(o) = 8*o**2 + 4*o + 2. Let w(t) = -9*t**2 - 207*t - 2. Let s(k) = -2*n(k) - 2*w(k). Factor s(h).
2*h*(h + 203)
Let b(c) be the third derivative of c**5/180 - 155*c**4/36 + 24025*c**3/18 + 177*c**2. Factor b(f).
(f - 155)**2/3
Suppose -450 = 39*y - 49*y. Let -y + 150*x + 3*x**2 + 141*x - 333*x = 0. Calculate x.
-1, 15
Let z(d) = d**3 + 4*d**2 - 176*d - 357. Let t be z(-2). Let k = 3/296 - -1157/2664. Factor k*r + 2/9*r**2 - 4/9*r**t - 2/9.
-2*(r - 1)*(r + 1)*(2*r - 1)/9
Let l = 665 - -10. Suppose 6*t = t + l. Find s such that -3 + t*s**5 - 9 - 76*s + 9*s**4 - 333*s**2 - 363*s**3 - 75*s + 43*s = 0.
-1, -2/5, -1/3, 2
Let i(v) be the third derivative of -4*v**6/75 + 364*v**5/75 - 7081*v**4/60 - 9409*v**3/5 - 1403*v**2 + v. Determine r so that i(r) = 0.
-3, 97/4
Solve -138/5*l**3 + 6*l**5 - 36/5*l + 66/5*l**4 + 0 - 42*l**2 = 0 for l.
-3, -1, -1/5, 0, 2
Let o(i) be the first derivative of i**6/40 + 7*i**5/20 + 2*i**4 + 6*i**3 - 3*i**2/2 - 5*i + 16. Let v(f) be the second derivative of o(f). Factor v(t).
3*(t + 2)**2*(t + 3)
Let t(a) be the third derivative of 0 + 0*a**3 + 0*a + 1/21*a**5 + 171*a**2 + 0*a**4 + 1/35*a**6 + 2/735*a**7. Solve t(s) = 0 for s.
-5, -1, 0
Factor -2*l**5 - 4582 - 134*l**3 + 4*l**5 - 5*l**4 - l**5 + 4725 + 234*l**2 - 427*l + 188*l**2.
(l - 13)*(l - 1)**3*(l + 11)
Find t such that 51/8*t**2 + 525/8 - 3/8*t**3 - 285/8*t = 0.
5, 7
Let n be 46/15 - (148423/1545 + -96). Factor -1/2*m**4 - m + 0*m**n + 0 + 3/2*m**2.
-m*(m - 1)**2*(m + 2)/2
Let h be (-213)/(-2)*(-3 - (-114)/18). Let f = h - 1417/4. Solve -3/4*t**2 + 3/4*t**3 - 3/4*t + 0 + f*t**4 = 0.
-1, 0, 1
Let w be 1/(-1) + 8 + -2 + 6/(-3). Let i(q) be the first derivative of 0*q - 9/4*q**6 + 1/2*q**w + 15/8*q**4 - 18 + 0*q**2 + 9/10*q**5. Factor i(n).
-3*n**2*(n - 1)*(3*n + 1)**2/2
Suppose 7*x + 8 = 11*x. Let r(a) = 3*a**2 + 38*a + 60. Let q(t) = -897 + 28*t**2 - 1012 - 108*t**2 + 289 - 1025*t. Let h(s) = x*q(s) + 55*r(s). Factor h(l).
5*(l + 2)*(l + 6)
Solve -1/10*s**3 + 27/5 + 11/5*s**2 - 15/2*s = 0.
1, 3, 18
Let j be (21/3 + -6)*30. Suppose 2*u**3 + j*u**2 + 31*u + 96 - 11*u + 76*u - 2*u**3 + 3*u**3 = 0. Calculate u.
-4, -2
Let u be -1*((-1 - 4) + (13 - 11)). Let i(f) be the third derivative of -65/24*f**4 + 0*f + 0 + 5*f**u - 23*f**2 + 5/12*f**5. Suppose i(p) = 0. Calculate p.
3/5, 2
Factor 292/9*l + 2/9*l**3 - 592/9 + 298/9*l**2.
2*(l - 1)*(l + 2)*(l + 148)/9
Let z be 2*4*-5*3/(-30). What is c in 252*c**3 + 701*c**2 + 27*c**z + 8 - 969*c**2 + 233*c**4 - 252*c = 0?
-1, 2/65, 1
Let b be (-3190)/23925 - (237/90)/(-1). Factor 5/2*q**4 + 0 - b*q**2 + 0*q + 0*q**3.
5*q**2*(q - 1)*(q + 1)/2
Suppose 451 + 137 = 244*f + 100. Determine o so that 3 + 1/2*o - 2*o**f + 1/2*o**3 = 0.
-1, 2, 3
Determine g so that 2/7*g**2 - 110/7*g + 408/7 = 0.
4, 51
Let l(y) = 11*y**4 + 4*y**3 - 40*y**2 - 96*y - 31. Let w(n) = n**4 - n**3 + n**2 + 1. Let a be 5*8/180 + (-14)/(-18). Let r(f) = a*l(f) - 5*w(f). Factor r(t).
3*(t - 3)*(t + 2)**2*(2*t + 1)
Let g = 7290223633/270 - 27000796. Let q = g - 155/54. Solve -39/5*a**2 + q - 3/5*a**3 - 21*a = 0.
-7, 1
Let c(m) = 7*m + 173. Let j be c(-24). Let i(h) be the second derivative of -25/18*h**4 + 28/9*h**3 + 0 - 36*h + 1/5*h**j - 4/3*h**2. Factor i(d).
2*(d - 2)**2*(6*d - 1)/3
Determine s so that 7448/5 + 2/5*s**3 + 1456/5*s + 94/5*s**2 = 0.
-19, -14
Let w(t) be the third derivative of t**8/6720 - t**7/360 - 7*t**6/180 - t**5/6 - 29*t**4/4 + 206*t**2. Let m(n) be the second derivative of w(n). Factor m(y).
(y - 10)*(y + 1)*(y + 2)
Let i be (26 - 3392/(-44)) + (0 - 12). Let o = -7 - -11. Determine r so that i*r**3 - 222/11*r**2 + 1080/11*r**o + 24/11 - 120/11*r = 0.
-1, -2/5, 2/9, 1/4
Let g(a) = -3*a**3 + 379*a**2 - 747*a + 375. Let x(u) = 16*u**3 - 1896*u**2 + 3733*u - 1875. Let s(k) = -11*g(k) - 2*x(k). Let s(h) = 0. What is h?
1, 375
Let a(r) be the second derivative of -3*r**5/35 - 83*r**4/28 - 299*r**3/14 + 120*r**2/7 + 2430*r. Suppose a(s) = 0. Calculate s.
-16, -5, 1/4
Let o(t) be the first derivative of -2*t**5/35 - 57*t**4/14 - 480*t**3/7 + 2700*t**2/7 - 3037. Suppose o(y) = 0. What is y?
-30, 0, 3
Suppose 4*r - 34 = 2*r. Let l(k) = -2*k**2 + 32*k + 34. Let h be l(r). Factor h + 1/8*g**3 - 1/2*g**2 - 1/8*g + 1/2*g**4.
g*(g - 1)*(g + 1)*(4*g + 1)/8
Let v(y) be the second derivative of -y**7/231 - 4*y**6/165 + 3*y**5/110 + 5*y