a) be the third derivative of -1/9*a**3 - 12*a**2 + 0 + 0*a - 1/180*a**5 + 1/24*a**4. Factor l(d).
-(d - 2)*(d - 1)/3
Let b(v) = 15*v + 1. Let q be b(-1). Let n be 2/(-7) + (-116)/q. Suppose -3*h - 157*h**2 - 5*h**2 - 62*h - n - 7*h = 0. Calculate h.
-2/9
Let q be 61/(-12) - (-52)/390. Let b = 26/5 + q. Factor -1/2*h**2 - h**3 + b*h**4 + 9/4 + 3*h.
(h - 3)**2*(h + 1)**2/4
Let v(z) be the second derivative of -z**9/3024 + z**7/420 - z**5/120 - 2*z**3 - 13*z. Let o(p) be the second derivative of v(p). Find w such that o(w) = 0.
-1, 0, 1
Let 133*o**3 + 145*o**3 - 272*o**3 - 3*o**4 = 0. What is o?
0, 2
Let l(s) = s**2 + s + 1. Let y(b) = b**5 + 0*b**5 + 4 + b - 3 + 3*b**4 - 3*b**2. Let z(c) = -l(c) + y(c). Factor z(a).
a**2*(a - 1)*(a + 2)**2
Let s = 18 - 10. Suppose -2*h = -s + 2. Suppose -6*r + 5*r**3 + 2*r**3 - 2*r**3 + 3*r**2 - 2*r**h = 0. What is r?
-2, 0, 1
Let h(n) be the first derivative of -2/5*n**5 - 12 + n**2 - n**4 + 4/3*n**3 + 1/3*n**6 - 2*n. Find c such that h(c) = 0.
-1, 1
Let h(a) be the third derivative of -a**7/315 - a**6/45 - 2*a**5/45 - 2*a**2 + 72*a. Find p, given that h(p) = 0.
-2, 0
Let t = 1993 + -1989. Find u, given that 3*u**t - 3*u**3 + 0 + 0*u**2 + 0*u - 3/4*u**5 = 0.
0, 2
Let d be 6/(-1*6/(-4)). Let k(a) be the second derivative of -1/10*a**6 + 2*a**d - 24*a**2 + 0*a**5 + 0 + 0*a**3 + 4*a. Let k(j) = 0. Calculate j.
-2, 2
Let o(s) be the third derivative of s**6/30 - 14*s**5/15 + 16*s**4/3 + 256*s**3/3 + 43*s**2. Factor o(t).
4*(t - 8)**2*(t + 2)
Let h(l) be the first derivative of 2*l**6/75 + 7*l**5/25 + 6*l**4/5 + 8*l**3/3 + 16*l**2/5 - 9*l + 2. Let d(c) be the first derivative of h(c). Factor d(t).
4*(t + 1)*(t + 2)**3/5
Let 272*o + 44 - 5 + 79*o**2 + 53 - 4*o**4 + 185*o**2 + 80*o**3 = 0. Calculate o.
-1, 23
Let g(y) = y**4 - 2*y**2 + 6*y + 7. Let m(k) = -13*k - 14 + k**4 - 3*k**4 - 1 + 4*k**2. Let i = 14 - 8. Let r(w) = i*m(w) + 13*g(w). Factor r(x).
(x - 1)**2*(x + 1)**2
Let w = 256 - 166. Let p = w + -359/4. Find s such that -p*s + 1/2 - 1/4*s**2 = 0.
-2, 1
Let n(b) be the third derivative of 0 + 2/3*b**3 + 1/30*b**5 + 0*b - 7/24*b**4 - 6*b**2 + 1/120*b**6. Suppose n(h) = 0. What is h?
-4, 1
Let a(d) be the first derivative of 1/15*d**3 - 1/5*d**2 + 14 + 1/5*d. Factor a(p).
(p - 1)**2/5
Let o(k) be the second derivative of -41*k**5/100 - 4*k**4/3 - 37*k**3/30 + k**2/5 - 14*k. Factor o(y).
-(y + 1)**2*(41*y - 2)/5
Suppose 4 = 217*h - 219*h, -5*x = -h - 12. Factor -9/5*p**x + 0*p**3 + 3/5*p**4 + 6/5*p + 0.
3*p*(p - 1)**2*(p + 2)/5
Let x(i) be the second derivative of -i**6/150 - 2*i**5/25 + 19*i**4/60 - i**3/3 + 584*i. Factor x(c).
-c*(c - 1)**2*(c + 10)/5
Suppose 10*n + 20 = 20*n. Suppose 4*i**4 - 5*i**3 - 6*i**4 - 9*i**2 + 8*i**n + 8*i**5 = 0. Calculate i.
-1/2, -1/4, 0, 1
Let q(d) be the first derivative of 5*d**3/3 - 105*d**2/2 + 190*d - 452. Factor q(c).
5*(c - 19)*(c - 2)
Let b(f) be the first derivative of -9*f**4 - 38*f**3/5 + 32*f**2/5 - 2*f/5 + 33. Determine o so that b(o) = 0.
-1, 1/30, 1/3
Factor -54*u - 84 - 152*u**2 - 34*u + 305*u**2 - 157*u**2.
-4*(u + 1)*(u + 21)
Factor 104/7*y - 18/7*y**2 + 24/7.
-2*(y - 6)*(9*y + 2)/7
Let w be 8/(-36)*-3*3. Factor -2*o**3 + 2*o**2 - 2*o + w*o.
-2*o**2*(o - 1)
Suppose 0 = 37*j - 48*j. Suppose -2*h - a = 0, 3*h + 9*a - 5*a = j. Suppose h - 1/5*k + 1/5*k**2 = 0. What is k?
0, 1
Let u(k) = -7*k**3 + 4*k**2 - 5*k - 1. Let n(v) = -12*v**3 + 7*v**2 - 8*v - 2. Let s(a) = 6*n(a) - 10*u(a). Factor s(p).
-2*(p - 1)**2*(p + 1)
Let c(j) be the third derivative of -j**5/12 - 45*j**4/4 - 1215*j**3/2 + 5*j**2. Factor c(w).
-5*(w + 27)**2
Let o = 148/77 - 219/154. Find c, given that -o*c**2 - 2 + 2*c = 0.
2
Suppose 0 = 2*i - 14*i + 24. Let z = 416/1791 + -2/199. Determine f, given that 0*f + z*f**i - 2/9 = 0.
-1, 1
Let f = 13061/10 - 1306. Let n(b) be the third derivative of -1/20*b**6 + 0 + 0*b**3 + 1/4*b**4 + 7/20*b**5 - f*b**7 + 7*b**2 + 0*b. Factor n(x).
-3*x*(x - 1)*(x + 1)*(7*x + 2)
Let z be ((-60)/18 + 3)*(0/(-3) + -2). Factor 0*t**2 + 0 - 4/3*t**3 + 0*t - z*t**4.
-2*t**3*(t + 2)/3
Determine a, given that 490*a - 71*a**2 - 72*a**2 + 148*a**2 = 0.
-98, 0
Let v(j) = 3*j**3 - 65*j**2 + 335*j - 637. Let c(u) = -u**3 + 22*u**2 - 112*u + 212. Let y be (-65)/15 + 1/3. Let z(k) = y*v(k) - 11*c(k). Factor z(o).
-(o - 6)**3
Let r(f) = -f - 8. Let g be r(-6). Let x(v) = v**2 + 3*v + 2. Let l be x(g). Find n such that -2/7*n + l + 2/7*n**2 = 0.
0, 1
Let o(u) = -u**3 - u**2 - 9. Let d be o(0). Let y = 20 + d. What is k in 5*k**3 + 16*k - 1 + 5 + 24*k**2 + 4*k**4 + y*k**3 = 0?
-1
Suppose 90*a + 2/5*a**3 - 12*a**2 + 0 = 0. What is a?
0, 15
Let m be 13 - ((-8)/(-4) - (-2 - -6)). Find p such that 2*p**2 - 2*p**5 - 4*p**4 + 2*p**2 + 1 + m + 20*p**3 - 32*p - 2*p**5 = 0.
-2, 1
Let t(b) be the third derivative of b**8/672 + b**7/420 - b**6/120 + 36*b**2. Factor t(h).
h**3*(h - 1)*(h + 2)/2
Suppose 12*a - 47*a**5 - 111*a**3 + 191*a**5 - 36*a**2 + 552*a**4 - 21*a**2 = 0. What is a?
-4, -1/3, 0, 1/4
Let h(t) = 11*t**3 - t**2 - 5*t - 4. Let f be h(-1). Let u be 1/(-11) - 1/f. Factor u - 3/7*m**2 - 3/7*m.
-3*m*(m + 1)/7
Find h such that -6/7*h - 10/7*h**2 + 8/7 + 6/7*h**3 + 2/7*h**4 = 0.
-4, -1, 1
Let j = 45 - 40. Factor 4*v**5 + v**j - 7*v**5 + 28*v**4 + 36*v**2 - 60*v**3 - 2*v**5.
-4*v**2*(v - 3)**2*(v - 1)
Let l = 1/257 - -1023/1285. Let x = -37 - -39. Factor 0 + l*i + x*i**2 + 6/5*i**3.
2*i*(i + 1)*(3*i + 2)/5
Let d = -289 - -496. Let q = 1039/5 - d. Factor 0 - q*w**2 + 0*w + 18/5*w**3.
2*w**2*(9*w - 2)/5
Let w(s) be the third derivative of -7*s**5/12 - 2375*s**4/12 + 680*s**3/3 - 429*s**2. Let w(p) = 0. Calculate p.
-136, 2/7
Let u(s) be the first derivative of 4*s**3/3 - 4*s**2 - 6*s - 23. Let n(h) = -5*h**2 + 9*h + 7. Let j(d) = 6*n(d) + 7*u(d). Let j(o) = 0. What is o?
-1, 0
Let q(m) = m**3 + 86*m**2 + 76*m - 760. Let s be q(-85). Factor 0*o**4 + 0*o**2 + 2/7*o**s - 4/7*o**3 + 0 + 2/7*o.
2*o*(o - 1)**2*(o + 1)**2/7
Let v(l) be the first derivative of -l**6/300 - l**5/150 + l**4/60 + l**3/15 + 11*l**2/2 - 4. Let a(h) be the second derivative of v(h). Factor a(o).
-2*(o - 1)*(o + 1)**2/5
Let w be (-60)/(-50)*(-5)/9*-6. Let t = 1 - -1. Let -7/5*u**5 - u**w - 16/5*u + 1/5*u**t + 23/5*u**3 + 4/5 = 0. What is u?
-2, -1, 2/7, 1
Let y = -54 + 649/12. Let l(d) be the second derivative of y*d**4 - 1/30*d**6 + 0*d**2 - d + 1/6*d**3 - 1/20*d**5 + 0. Factor l(f).
-f*(f - 1)*(f + 1)**2
Find y, given that -38*y - 3*y**3 - 5*y**2 + 11*y**3 - 901*y**4 + 13*y + 906*y**4 + 17*y**3 = 0.
-5, -1, 0, 1
Let y(t) = -t**5 + t**4 + 2*t**2 + 2*t - 1. Let u(w) = -w**5 - 27*w**4 + 60*w**3 + 42*w**2 - 54*w - 5. Let g(i) = -u(i) + 5*y(i). Solve g(h) = 0 for h.
-1, 0, 1, 4
Let n = -284 + 2739/10. Let b = -48/5 - n. Factor -1/4*k**4 + 1/4*k**2 + 0 + b*k**3 - 1/2*k.
-k*(k - 2)*(k - 1)*(k + 1)/4
Let c(d) be the third derivative of d**5/120 + d**4/24 + d**3/12 - 2*d**2 - 25*d. Factor c(t).
(t + 1)**2/2
Let b be (-110)/(-44)*528/20. Factor 28*g**3 + 8/3*g**2 + 0*g - 121/3*g**5 + 0 + b*g**4.
-g**2*(g - 2)*(11*g + 2)**2/3
Let x(r) be the first derivative of 0*r**5 - 3/10*r**2 - 2/15*r**3 + 1/5*r**4 - 1/30*r**6 + 2/5*r + 4. Determine s, given that x(s) = 0.
-2, -1, 1
Let p = -846 - -1998. Suppose 12288*i + 5003*i**2 + 3*i**5 + p*i**3 + 96*i**4 + 150*i**2 + 991*i**2 = 0. What is i?
-8, 0
Let c = 44272/3 + -14757. Solve 2/3 + c*r**2 + r = 0 for r.
-2, -1
Let d(n) be the third derivative of -2/3*n**3 + 0 - 1/8*n**4 + 0*n + 1/60*n**5 + 8*n**2. Solve d(l) = 0.
-1, 4
Let o be ((-452 + -7)/9)/(395/3). Let j = 1/79 - o. Suppose -6/5*w**3 - 2/5*w**2 - j*w**5 - 6/5*w**4 + 0*w + 0 = 0. Calculate w.
-1, 0
Let k be -3 + -2 - (-1 + -6). Factor -75/2*g**k - 45*g - 27/2.
-3*(5*g + 3)**2/2
Determine c so that 14*c**2 + c**2 - 2 - 234*c + 192 - 61*c = 0.
2/3, 19
Let y be (1/(-1))/(4/(-684)*-3). Let n be ((-1)/(-4))/(y/(-76)). What is z in -2/3 + 1/3*z + n*z**2 = 0?
-2, 1
Let t = -1738 - -1741. Suppose 0 + 0*d**t - 2/17*d**2 + 2/17*d**4 + 0*d = 0. What is d?
-1, 0, 1
Let y(a) be the third derivative of a**7/420 - a**6/80 + a**5/120 + a**4/16 - a**3/6 - 17*a**2. Factor y(g).
(g - 2)*(g - 1)**2*(g + 1)/2
Let d = -22 - -25. Let -15*a**5 + 12*a**2 + 33*a**2 + 12*a - 6*a**4 + 3*a**2 + 9*a**3 + 36*a**d = 0. What is a?
-1, -2/5, 0, 2
Solve a**5 + 3*a**