o(b) be the second derivative of r(b). Suppose o(a) = 0. Calculate a.
-1, 2
Let p = 741356 - 5189300/7. What is i in 1000/7*i**5 - 256/7 - 1180/7*i**3 + p*i - 900/7*i**4 + 1168/7*i**2 = 0?
-1, -1/2, 4/5
Let u(l) be the second derivative of l**7/14 - 11*l**6/10 + 117*l**5/20 - 37*l**4/4 - 20*l**3 + 72*l**2 - 3*l - 10. What is t in u(t) = 0?
-1, 1, 3, 4
Let p(w) be the first derivative of -3*w**5/10 + 21*w**4/4 - 63*w**3/2 + 135*w**2/2 - 3406. Factor p(k).
-3*k*(k - 6)*(k - 5)*(k - 3)/2
Determine y, given that -340/3*y - 278/3*y**2 + 64 + 4/3*y**5 + 112*y**3 + 86/3*y**4 = 0.
-16, -6, -1, 1/2, 1
Let -36/5*r**3 + 1228/5*r + 112 - 88/5*r**2 = 0. What is r?
-7, -4/9, 5
Suppose -4*u = 3*h - 20, -4*h - 14 = u - 8*h. Factor 101*k**2 + 41*k**u - 42*k**2 + 5*k**3 + 500*k.
5*k*(k + 10)**2
Suppose -86*w + 322*w + 1553*w**2 - 1555*w**2 = 0. What is w?
0, 118
Factor -311 + 167 + 2*a**3 - 34*a**2 + 157*a - 25*a.
2*(a - 12)*(a - 3)*(a - 2)
Let j(l) = 263*l - 8939. Let n be j(34). Let -14/11*x - 7/11*x**2 - 1/11*x**n - 8/11 = 0. Calculate x.
-4, -2, -1
Let l(b) be the third derivative of -b**6/180 + 13*b**5/45 + 187*b**4/36 + 160*b**3/9 - 126*b**2. Let l(y) = 0. What is y?
-5, -1, 32
Let o(b) be the first derivative of 16*b**3/21 - 1333*b**2/7 - 1002*b/7 - 4625. Let o(m) = 0. Calculate m.
-3/8, 167
Let f be (2 + 13)/((-9)/(-21)) - -5. Solve f*j**2 + 84*j**3 - 2*j - 240*j**4 - j - 136*j**3 - j - 144*j**5 = 0.
-1, 0, 1/6
Let m(y) = -y**2 - y + 3. Let p(b) = -2*b**3 - 155*b**2 - 3597*b - 18153. Let a(h) = 6*m(h) + 2*p(h). Find l, given that a(l) = 0.
-36, -7
Let z = 1781 + -5453/2. Let i = z + 946. Suppose 0 - i*n**3 - 9/2*n - 3*n**2 = 0. What is n?
-3, 0
Let n(k) = -5*k - 4. Let z(v) = 14*v + 11. Let y(l) = -11*n(l) - 4*z(l). Let a be y(-2). Factor -3*c**2 - 4 + 14*c + 3*c**2 + 8*c**a.
2*(c + 2)*(4*c - 1)
Let v(c) be the third derivative of c**7/945 - 1127*c**6/180 + 1270129*c**5/90 - 1431435383*c**4/108 - 3816*c**2. Suppose v(g) = 0. What is g?
0, 1127
Let r(p) be the second derivative of 22*p + 0 - 1/6*p**3 + 1/12*p**4 - 1/2*p**2 + 1/20*p**5. Factor r(i).
(i - 1)*(i + 1)**2
Let d(r) be the second derivative of -36/5*r**3 + 147*r - 3/50*r**5 - 1/70*r**7 - 21/5*r**4 + 0 + 0*r**2 + 9/50*r**6. Solve d(s) = 0.
-2, -1, 0, 6
Suppose 9*u - 36 = -0*u. Suppose 0*l + l + 12 = 3*d, -27 = -3*d - u*l. Factor -32*b**4 + 10*b**d + 22*b**4 + 150*b**3 + 23*b + 140*b**2 + 17*b + 75*b**4.
5*b*(b + 2)**3*(2*b + 1)
Suppose 27*y = -27*y - 24*y. Let o(v) be the first derivative of y*v + 1/4*v**4 + 0*v**3 - 12 - 1/2*v**2. Determine r, given that o(r) = 0.
-1, 0, 1
Let s(i) be the third derivative of -i**6/180 + i**5/45 + i**4/36 - 2*i**3/9 - 1357*i**2. Factor s(g).
-2*(g - 2)*(g - 1)*(g + 1)/3
Suppose 42*j + 42 = 44*j. Let w be 30/50*(3 + (-53)/j). Factor 4/7*b**2 + 4/7*b**3 - 6/7*b**4 - 6/7*b + w*b**5 + 2/7.
2*(b - 1)**4*(b + 1)/7
Let j(f) = 138*f + 126. Let h(v) = v**2 - 552*v - 499. Let l(d) = 4*h(d) + 18*j(d). What is w in l(w) = 0?
-68, -1
Suppose 271*g - 371*g = -200. Suppose -5/4 - i + 1/4*i**g = 0. What is i?
-1, 5
Suppose -2*m - 5*a + 42 = 88, -20 = 2*a. Find o, given that -9/7*o**m + 0 + 3/7*o**3 + 0*o = 0.
0, 3
Let q(f) be the first derivative of -105*f + 5/4*f**4 - 5*f**3 + 87 - 125/2*f**2. Factor q(t).
5*(t - 7)*(t + 1)*(t + 3)
Let r(y) = 146*y**3 + 729*y**2 - 8*y - 15. Let x be r(-5). Find w, given that -3*w**2 + 0*w + 1/2*w**3 + x = 0.
0, 6
Let w = 2264/1233 - 8/137. Let l be (24/16)/((-3)/(-4)). Let 280/3*h + 4900/3*h**l + w + 85750/9*h**3 = 0. Calculate h.
-2/35
Suppose 0 = 2*r - 4*o + 16, 2*r + 2*o = 20 - 6. Factor 63 - 155*x + 93 - 693*x - 44 + 60*x**r.
4*(x - 14)*(15*x - 2)
Suppose -4*b + 16 = x, -27*b + 25*b + 20 = x. Let s be 3/x + 15/200. Factor s*c**4 + 0 + 4/5*c**2 + 0*c + 4/5*c**3.
c**2*(c + 2)**2/5
Find l such that -10041*l - 179 - 821 - 238*l**3 + 4290*l**2 + 23*l**3 - 11259*l = 0.
-2/43, 10
Let g(c) be the first derivative of 0*c**3 - 1/14*c**4 + 2/35*c**5 + 0*c**2 - 48 + 0*c. Factor g(o).
2*o**3*(o - 1)/7
Let u = -95705 - -861347/9. Suppose 10/9*y - 8/9 - u*y**2 = 0. What is y?
1, 4
Suppose -357 = -610729*q + 610610*q. Let 0 + 1/3*d**4 - 5/3*d**q - 1/3*d**2 + 5/3*d = 0. Calculate d.
-1, 0, 1, 5
Suppose -1231 = -4*j + 5*y, -12*y = 8*y - 17*y + 33. Find n such that 165/8*n**2 + 273*n + 3/8*n**3 - j = 0.
-28, 1
Let l(d) = d**3 + 6*d**2 - 2*d - 4. Let v be (3/(-4))/((-7)/56)*-1. Let r be l(v). Factor -4*b**2 + 2 - r*b + 7 + 1 + 2.
-4*(b - 1)*(b + 3)
Let y(n) be the first derivative of -n**3 + 33/2*n**2 - 63 - 84*n. Factor y(s).
-3*(s - 7)*(s - 4)
Let a = -64148 + 64148. Factor 1/4*o**3 - 1/4*o + 0 + a*o**2.
o*(o - 1)*(o + 1)/4
Let m = -10479 - -52719/5. Let n = 36/749 + 485172/3745. Factor 54/5*x**2 + n - 3/5*x**3 - m*x.
-3*(x - 6)**3/5
Let g be 285/18 - (-2)/12. Factor 40*p**2 - 20*p - p**4 - 15*p**3 - 16 + 5*p**5 + g - 9*p**4.
5*p*(p - 2)*(p - 1)**2*(p + 2)
Let 37 - 183 + 69 - 4*c**2 - 67 - 80*c = 0. Calculate c.
-18, -2
Let t be (13/26)/(2 + (-8473)/4238). Let h = t + -705. Determine m, given that -1/3*m**3 + 1/3*m**4 - 3*m**2 - 11/3*m - h = 0.
-1, 4
Suppose -v + 8 = 2*r, -2*v + 0*v - 5*r + 18 = 0. Suppose -17 = -5*w - o, -3*w + v - 1 = -3*o. Factor 21*k**2 - 4*k + 0*k - 2*k - 18*k**2 + w.
3*(k - 1)**2
Let u(j) = -8*j**4 + 9*j**3 + 186*j**2 - 151*j + 18. Let h(c) = 2*c**4 - 2*c**3 - 46*c**2 + 38*c - 4. Let s(n) = -9*h(n) - 2*u(n). Find d, given that s(d) = 0.
-5, 0, 1, 4
Determine r, given that -13/6*r - 1/6 - 2*r**2 = 0.
-1, -1/12
Let c be ((-4)/((-4)/(-3)))/((-45)/975). Solve -65 + 12*x**2 + x**5 - 8*x - 2*x**3 - 3*x**4 + c = 0 for x.
-2, 0, 1, 2
Let n(j) = -3*j**2 - 318*j + 582. Let o(l) = -14*l**2 - 1284*l + 2327. Let h(k) = 9*n(k) - 2*o(k). Factor h(g).
(g - 292)*(g - 2)
Let l(o) = 50*o**3 - 31450*o**2 - 93160*o - 62185. Let r(v) = 3*v**3 - 1849*v**2 - 5480*v - 3658. Let d(p) = -2*l(p) + 35*r(p). Factor d(g).
5*(g - 366)*(g + 1)*(g + 2)
What is c in -8/3*c**2 - 24 - 52*c + 12*c**3 + 8/3*c**4 = 0?
-3, -1/2, 2
Let g(v) = -25*v + 53. Let m be g(2). Factor m*k**3 - 6*k**2 - 7*k**2 + 6*k**3 - 22*k.
k*(k + 1)*(9*k - 22)
Factor -64/7 + 4/7*b**3 - 8*b**2 - 124/7*b.
4*(b - 16)*(b + 1)**2/7
Suppose 0 = -1212*i + 1204*i. Let j(w) be the second derivative of 5/4*w**4 + 0 + i*w**2 + 3*w + 5/6*w**3. Factor j(u).
5*u*(3*u + 1)
Let d(t) be the second derivative of -t**5/4 - 385*t**4/12 - 4420*t**3/3 - 26010*t**2 + 2823*t - 2. Determine f so that d(f) = 0.
-34, -9
Suppose 5960*s - 90 = 5942*s. Let r(b) be the first derivative of 2/3*b**3 - 3/2*b**2 - 1/6*b**6 + 17 + b**4 + 0*b - 2/5*b**s. Factor r(z).
-z*(z - 1)**2*(z + 1)*(z + 3)
Factor 3969/2 - 63*w + 1/2*w**2.
(w - 63)**2/2
Let x(c) = 5*c**3 - 3*c**2 + 20*c - 12. Let s(r) = 6*r**3 - 2*r**2 + 21*r - 12. Let j be 8/4 + 0 + (-6)/(-3). Let p(o) = j*s(o) - 5*x(o). Factor p(d).
-(d - 3)*(d - 2)**2
Let i = 60 - 58. Suppose -3*z - i*h + 6 = -6*h, 2*h = -z + 2. Find b, given that -10*b**z - 4*b**3 - 2*b**2 - 6*b - 5*b + 3*b = 0.
-2, -1, 0
Let z = -30 + 46. Suppose -z*l**4 + 4*l**5 + 8*l**2 - 4*l**3 + 7*l**5 - 7*l**5 + 8*l**2 = 0. Calculate l.
-1, 0, 1, 4
Factor -129 + 18*x - 104 + 233 + 28*x**2 - 56*x**3 - 12*x**4 + 22*x.
-4*x*(x - 1)*(x + 5)*(3*x + 2)
Solve 1328 + 577*r + 226*r + r**2 - 137*r = 0.
-664, -2
Let q be -8 - (117/(-65) + 46/(-5)). Let g(n) be the second derivative of 12/5*n**2 + 9/10*n**q + 0 - 22*n + 1/20*n**4. Factor g(j).
3*(j + 1)*(j + 8)/5
Factor 2 - 65*g**4 + 5*g + 72*g**4 - g**5 - 4*g**3 - 11*g**4 + 2*g**2.
-(g - 1)*(g + 1)**3*(g + 2)
Suppose -4*y + 12 = 3*t, 2*t + 5*y = -t + 12. Suppose t*a**4 - 141*a - 864 + 259*a**2 + 101*a**2 - 68*a**3 - 291*a = 0. What is a?
-1, 6
Suppose 0*w + w = 3*w. Suppose -6 - 13 = -27*q + 35. Suppose w*v + 16/3 - 4/3*v**q = 0. Calculate v.
-2, 2
Suppose 433*k = 243*k + 248*k - 174. Let 6*r**2 - 36*r - 1/3*r**k + 72 = 0. Calculate r.
6
Let l = -390501 - -2733567/7. Solve l - 22/7*w + 2/7*w**2 = 0.
5, 6
Let k(g) be the third derivative of -g**5/90 + 2*g**4/3 + g**2 - 56*g. Let k(r) = 0. Calculate r.
0, 24
Suppose -7*i = -0*i - 378. Suppose -6*x + i = -0*x. Suppose -17*n - 7*n - 27 - 4*n**2 - x = 0. Calculate n.
-3
Let v(u) be the second derivative of 2*u**7/147 - 22*u**6/105 + 41*u**5/140 - 5*u**4/42 + 279*u. Determine r so that v(r) = 0.
0, 1/2, 10
Let k(y) = -y**2 - 9*y +