+ 2. Suppose b(f) = 0. What is f?
-2, 0, 1/2
Suppose -28 = -4*k - 4*h, 5*h - 3 = -4*k + 28. Let f be (-1 + 9/10)/((-49)/(-5684)*-29). Factor -f*y**2 - 10 - k*y.
-2*(y + 5)**2/5
Let s = -509 - -513. Suppose -89*p + 88*p = -s. Factor -2/3*f**p + 1/3*f**3 - 3/2*f - 1/6*f**5 + 2*f**2 + 0.
-f*(f - 1)**2*(f + 3)**2/6
Suppose 5/4*d**3 - 555*d**2 - 9040 - 4500*d = 0. Calculate d.
-4, 452
Suppose 50*u + 145 = 245. Let n(c) be the first derivative of 0*c + 0*c**u - 4/21*c**3 + 2/35*c**5 + 10 - 1/14*c**4. Factor n(v).
2*v**2*(v - 2)*(v + 1)/7
Factor -1/6*u**2 - 20205025/6 + 4495/3*u.
-(u - 4495)**2/6
Let f(d) be the first derivative of -3*d**4/5 + 128*d**3/15 + 94*d**2/5 + 48*d/5 + 569. Solve f(z) = 0.
-1, -1/3, 12
Let c = 307002 + -1526818/5. Factor 2/5*t**2 + c + 256/5*t.
2*(t + 64)**2/5
Let s(d) = -5*d**3 + 8*d. Let i(u) = 644*u**2 - 644*u**2 + 10*u - 5*u**3. Let c(t) = -6*i(t) + 5*s(t). Factor c(g).
5*g*(g - 2)*(g + 2)
Let s(b) be the first derivative of -b**4/5 + 136*b**3/15 - 728*b**2/5 + 4704*b/5 + 301. Find y, given that s(y) = 0.
6, 14
Let n(m) be the first derivative of -12/5*m**2 - 1/5*m + 16 - 23/15*m**3. Factor n(o).
-(o + 1)*(23*o + 1)/5
Let t(r) = 22*r**4 + 547*r**3 + 5377*r**2 + 9180*r + 4342. Let l(s) = 7*s**4 + 182*s**3 + 1792*s**2 + 3060*s + 1447. Let v(y) = -7*l(y) + 2*t(y). Factor v(a).
-5*(a + 1)**2*(a + 17)**2
Determine m so that 155*m + 3*m**5 + 90*m + 60*m**3 + 2*m**5 - 88*m**4 + 50*m**3 + 28*m**4 + 420*m**2 = 0.
-1, 0, 7
Let i = -1/21344 + 341507/64032. Factor 2/3*u**2 + 14/3 - i*u.
2*(u - 7)*(u - 1)/3
Suppose 520/3*j**3 - 56*j**4 - 60*j**2 + 116 - 2/3*j**5 - 518/3*j = 0. What is j?
-87, -1, 1, 2
Let o(h) be the second derivative of h**5/80 - h**4/12 - h**3/6 + 2*h**2 - 2275*h. Factor o(g).
(g - 4)*(g - 2)*(g + 2)/4
Let h(t) be the second derivative of -5*t**4/36 + 2410*t**3/9 - 580810*t**2/3 + 527*t + 1. Solve h(g) = 0.
482
Suppose -20 = 3*l - 8*l. Suppose 9*p = l*p + 420. Factor 85*v**4 + v**5 - 2*v**5 - p*v**4.
-v**4*(v - 1)
Suppose 0 = -6*c + c - 65. Let v = c - -16. Suppose -v*s**3 + 9*s**4 + 3*s**2 + 7*s**3 + 5*s**3 + 0*s**5 + 3*s**5 = 0. What is s?
-1, 0
Let x(h) be the second derivative of 0*h**2 + 0*h**3 + 68*h + 1/98*h**7 + 1/70*h**6 + 0 - 3/140*h**5 - 1/28*h**4. Factor x(w).
3*w**2*(w - 1)*(w + 1)**2/7
Let y(q) be the third derivative of -q**6/48 + 251*q**5/40 + 229*q**4/6 + 51*q**3 + 64*q**2 - 17*q + 2. Factor y(s).
-(s - 153)*(s + 2)*(5*s + 2)/2
Let c(j) = 423*j + 37649. Let o be c(-89). Solve 1/4*l**o + 0 + 2*l = 0 for l.
-8, 0
Let q(v) be the third derivative of v**5/330 - 49*v**3/33 + 71*v**2 - 2. Solve q(x) = 0.
-7, 7
Suppose 21927*n = 21890*n + 74. What is r in 0 + r**n + 2/3*r + 1/3*r**3 = 0?
-2, -1, 0
Let s(y) be the second derivative of y**8/33600 + y**7/6300 + y**4/6 + 3*y**3/2 + 149*y. Let g(d) be the third derivative of s(d). Let g(i) = 0. What is i?
-2, 0
Suppose -3*n - 51 = -6*u, 157*u + 57 = 160*u - 5*n. Factor u + 49/9*k**2 - 28/3*k.
(7*k - 6)**2/9
Let h(y) be the third derivative of -6/5*y**4 - 1 + 0*y - 11/25*y**5 - 2/25*y**6 - 1/175*y**7 + y**2 - 9/5*y**3. Factor h(n).
-6*(n + 1)**2*(n + 3)**2/5
Suppose q = -2*p - 12, -2*q - 14*p + 19*p = -3. Let m be (q/44)/((-25)/50). Suppose -3/11*f**3 - 1/11*f**5 + 1/11*f**2 + 0 + 0*f + m*f**4 = 0. What is f?
0, 1
Let c(q) = -42*q**2 - 178*q + 572. Let v(g) = -67*g**2 - 267*g + 860. Let f(t) = 8*c(t) - 5*v(t). Determine j so that f(j) = 0.
-92, 3
Let n(i) = -i**3 + 3*i**2 + 173*i + 3. Let l be n(0). Solve -2 - 17*u**3 - 41/3*u - 85/3*u**2 - l*u**4 = 0.
-3, -2, -1/3
Let d = 52 - 53. Let h be 17 + (d + -3 - -1). Factor 5 + 12*y**2 + 15*y - 11*y**2 + h*y**2 + 5*y**3.
5*(y + 1)**3
Suppose 3*w + 24 = -4*g, 4*g + 162 = -4*w + 130. Solve -3/4*o - 3*o**3 + g - 15/4*o**2 = 0.
-1, -1/4, 0
Suppose 0 = 6*m + h - 2 + 6, -3*m + 20 = -5*h. Let n = -8 - -11. Find k, given that -3/2*k**n + 3/2*k + 0*k**2 + m = 0.
-1, 0, 1
Let x = -199 + 204. Let j(h) = -3*h**2 + 9*h - 1. Let w(y) = -3*y**2 + 8*y - 1. Let l(z) = x*w(z) - 4*j(z). Factor l(q).
-(q - 1)*(3*q - 1)
Let m(b) be the first derivative of -5*b**3/3 - 65*b**2/2 + 116. Let m(p) = 0. What is p?
-13, 0
Let r(x) be the first derivative of x**4/132 + 13*x**3/11 + 1521*x**2/22 + 42*x - 40. Let i(u) be the first derivative of r(u). Factor i(b).
(b + 39)**2/11
Let l be (-4 - -6) + (2 - -1 - -1095). Let u be 9790/l - (-7)/(-5). Suppose -3/2*k - 15/2 + 3/2*k**3 + u*k**2 = 0. What is k?
-5, -1, 1
Let t = 1133735/4156 - 566/1039. Factor 1 - 32*o + t*o**3 + 957/4*o**2.
(o + 1)*(33*o - 2)**2/4
Factor 8*t + 2*t**3 - 17/2*t**2 - 3/2.
(t - 3)*(t - 1)*(4*t - 1)/2
Find b such that -72*b + 73*b - 3*b**3 - 2*b**3 - 175*b**2 + 4*b**3 + 175 + 0*b**3 = 0.
-175, -1, 1
Suppose 13689/5 + 14508/5*c + 150*c**2 + 1/5*c**4 - 68/5*c**3 = 0. Calculate c.
-9, -1, 39
Let f = -215365 + 215367. Factor 0*q + 4*q**f - 1/3*q**4 - 11/3*q**3 + 0.
-q**2*(q - 1)*(q + 12)/3
Suppose 3*u - 3 = 45. Let z be 9/(-2)*u/(-24). Factor -2*m**z + 18*m - 19*m - 7*m + 8*m**2.
-2*m*(m - 2)**2
Let z = -6239 + 6242. Let u(q) be the first derivative of -4/5*q**5 + 0*q**z + 0*q + 10 - q**6 + 1/2*q**4 + 0*q**2. Factor u(f).
-2*f**3*(f + 1)*(3*f - 1)
Let j(p) = p**4 + 12*p**3 - 125*p**2 + 196*p + 308. Let b(o) = -7*o - 1. Let g(c) = 4*b(c) + j(c). Let g(x) = 0. Calculate x.
-19, -1, 4
Let n(m) be the first derivative of 5/12*m**4 - 1/12*m**5 - 5/6*m**3 - 8*m**2 + 15 + 0*m. Let f(s) be the second derivative of n(s). Factor f(r).
-5*(r - 1)**2
Let j be 8/252*(10 - 1). Let l(g) be the first derivative of j*g**4 + 0*g - 44/21*g**3 + 33 - 12/7*g**2. Solve l(v) = 0.
-1/2, 0, 6
Suppose 110*l - 10 = -6 - 4. Let c(v) be the third derivative of 0*v - 1/36*v**4 + 0 + 22*v**2 + 1/90*v**5 + l*v**3. Suppose c(y) = 0. What is y?
0, 1
Let h(f) be the second derivative of -f**5/60 + 155*f**4/36 + f**3/18 - 155*f**2/6 + 3775*f. Factor h(a).
-(a - 155)*(a - 1)*(a + 1)/3
Let c(n) = n**2 - 9*n - 1. Let k(y) = 8*y**2 + 180*y + 643. Let r(s) = 5*c(s) - k(s). Factor r(a).
-3*(a + 3)*(a + 72)
Factor 4/5*v - 16/5 + 22/5*v**2 - 2*v**3.
-2*(v - 2)*(v - 1)*(5*v + 4)/5
Suppose 30 = 2*h - 6*u + 10*u, 3*u = 3*h. Let z(m) be the first derivative of -5/3*m**3 + 1/4*m**4 + 0*m + 8 + 1/5*m**h + 3/2*m**2. Suppose z(k) = 0. What is k?
-3, 0, 1
Let h(m) be the third derivative of -m**7/504 + m**6/144 - m**4/4 - 5*m**3/6 - 56*m**2. Let j(u) be the second derivative of h(u). Factor j(c).
-5*c*(c - 1)
Let m be ((-10)/3 - 15/(-5))*-18. Let q(a) = -a + 2. Let x(i) = i**3 + 21*i**2 + 93*i - 109. Let b(s) = m*q(s) - x(s). Determine v, given that b(v) = 0.
-11, 1
Factor -486/7*p - 4*p**3 + 270/7 - 10/7*p**4 + 36*p**2 + 2/7*p**5.
2*(p - 3)**3*(p - 1)*(p + 5)/7
Let v(z) be the second derivative of -z**6/45 + 20*z**5/3 - 2500*z**4/3 + 500000*z**3/9 - 6250000*z**2/3 - 2*z - 40. Suppose v(y) = 0. Calculate y.
50
Let m be -9 + (-1)/(-5)*65. Factor -5*s**m + 10*s - 2399*s**3 + 1201*s**3 + 5*s**2 + 1188*s**3.
-5*s*(s - 1)*(s + 1)*(s + 2)
Let 23/6*y**3 + 1/6*y**4 + 193/6*y - 133/6*y**2 - 14 = 0. What is y?
-28, 1, 3
Let t(f) be the third derivative of -f**6/540 - 199*f**5/270 - 391*f**4/108 + 197*f**3/9 + 4*f**2 + 125. Solve t(v) = 0.
-197, -3, 1
Let d be (2 + (-19)/2)/((-180)/240). Let k be d/4*(-2 - (-128)/60). Find x such that -125/3 - 25*x - k*x**3 - 5*x**2 = 0.
-5
Let l(g) be the second derivative of 7/8*g**4 + 4/5*g**2 + 0 + 49/200*g**5 - 46*g + 6/5*g**3. Factor l(w).
(w + 1)*(7*w + 4)**2/10
Let s be (9 + (-462)/55)/(2/350). Solve 15*p - s*p**2 + 87*p + 108*p**2 + 867 = 0 for p.
-17
Suppose -73*a = -5*u - 78*a + 110, -3*u + 42 = -5*a. Suppose -4*q + 17*k = 20*k, 0 = -5*q + k + u. Factor -1/2*j**q - j - 3/2*j**2 + 0.
-j*(j + 1)*(j + 2)/2
Let u be 3725/29800*(1 - 0 - -55). Let r(m) be the second derivative of -4/15*m**5 + 0*m**6 + 0 + 29*m + 0*m**4 + 1/63*m**u + 16/9*m**3 + 0*m**2. Factor r(c).
2*c*(c - 2)**2*(c + 2)**2/3
Factor -4086004 - 535459 - 2*b**2 - 2342449 + 7464*b.
-2*(b - 1866)**2
Let n = -2516 + 2540. Let l(h) be the first derivative of n - 11/10*h**4 + 2/5*h**2 + 6/5*h**3 + 0*h. Solve l(f) = 0.
-2/11, 0, 1
Let p be ((-54)/15)/((-15)/50). Suppose -190 = p*w - 214. Find t, given that -2/13*t**w + 2/13*t**3 - 4/13*t + 0 = 0.
-1, 0, 2
Let a be (-16)/12*(-12)/8. Let n be a - 5 - -8 - -23. Find q, given that 34*q**2 - 4*q**3