 - y + 35 = 5*f. Suppose 198*m - 2205*m**2 + 3267 + 4406*m**2 - 2198*m**y = 0. What is m?
-33
Factor 68/5 - 2/5*j**2 + 6*j.
-2*(j - 17)*(j + 2)/5
Factor -40/3*t + 805/6 - 5/6*t**2.
-5*(t - 7)*(t + 23)/6
Let -51/11*i**4 - 1/11*i**5 - 354/11*i**2 + 405/11 - 278/11*i**3 + 279/11*i = 0. What is i?
-45, -3, -1, 1
Let g(o) be the third derivative of -o**8/672 + 167*o**7/140 - 20833*o**6/80 - 63001*o**5/120 + 43*o**2 + 15*o. Let g(p) = 0. Calculate p.
-1, 0, 251
Let j(h) be the second derivative of -2*h**7/21 - 2*h**6/5 + 9*h**5/5 + 23*h**4/3 + 8*h**3 - 8*h - 23. Suppose j(z) = 0. Calculate z.
-4, -1, 0, 3
Factor -380 + 5/2*l**3 - 70*l**2 + 895/2*l.
5*(l - 19)*(l - 8)*(l - 1)/2
Let u(k) be the second derivative of k**7/126 + 2*k**6/45 - k**5/2 + 5*k**4/9 + 29*k**3/18 - 4*k**2 + 11814*k. Determine j so that u(j) = 0.
-8, -1, 1, 3
Let f be 4/(-14) + 11/((-308)/(-568)). Let u(q) = -2*q**2 + 1. Let i(r) = -110*r**2 + 15*r + 20. Let a(k) = f*u(k) - i(k). Let a(p) = 0. What is p?
0, 3/14
Let x = 2377 + -2375. Let p(r) be the first derivative of 2/7*r**3 + 3/28*r**4 + 0*r**2 + 0*r - x. Factor p(c).
3*c**2*(c + 2)/7
Let x be 0 - 20/(5 - 1962/390). Let h = -648 + x. Let -2/3*c**3 + 0*c - 2/5*c**4 + 0 - 4/15*c**h = 0. Calculate c.
-1, -2/3, 0
Suppose 9*u - 376 - 2 = 0. Find s, given that 52*s**2 - 17*s + u*s - 17*s = 0.
-2/13, 0
Let a(j) be the third derivative of j**5/30 - 4*j**4/3 + 20*j**3 + 93*j**2 - 3*j. Factor a(b).
2*(b - 10)*(b - 6)
Let v(w) be the third derivative of w**5/20 - 3*w**4/8 - 2*w**3 + 1797*w**2. Solve v(i) = 0 for i.
-1, 4
Let w be (12/(-8) + 1 + (-269)/(-1076))*304/(-6). Factor 6 + 2/3*k**3 + w*k + 22/3*k**2.
2*(k + 1)**2*(k + 9)/3
Let l(o) be the second derivative of o**5/40 - 31*o**4/24 + 175*o**3/12 + 207*o**2/4 - 2*o - 1520. Suppose l(a) = 0. What is a?
-1, 9, 23
Let o be 0/(7/((-28)/(-8))). Let y(l) be the third derivative of o + 0*l**4 + 0*l + 0*l**6 + 5*l**2 + 0*l**3 + 0*l**5 + 1/210*l**7. Factor y(d).
d**4
Suppose 33 = 5*f + 4*s, -26*f + 31*f - 5*s - 15 = 0. Factor -f*x - 3*x**5 - 3*x**5 + x**5 + 10*x**3 + 0*x.
-5*x*(x - 1)**2*(x + 1)**2
Let x be 4/(-8)*12 - -10. Factor -48*z + 48*z + 43*z**3 + 2*z**x - 31*z**3.
2*z**3*(z + 6)
Let o be (-12 - -8) + 6 - 11. Let w be o/(243/141) + 7. Solve -14/9 - w*z - 2/9*z**2 = 0.
-7, -1
Let g(z) be the second derivative of -4/3*z**6 + 0 - 79/70*z**5 + 4/21*z**3 + 23/14*z**4 - 4/7*z**2 - 68*z. Determine h, given that g(h) = 0.
-1, -1/4, 2/7, 2/5
Let t(d) be the third derivative of -13*d**7/210 + 5*d**6/8 - 23*d**5/10 + 17*d**4/6 + 4*d**3 - d**2 - 505*d. Find a, given that t(a) = 0.
-3/13, 2
Let w be 224/48*(-1 - -7). Suppose w*m = 3*m. Factor -10/13*c**2 + 0*c - 8/13*c**3 + 2/13*c**4 + m.
2*c**2*(c - 5)*(c + 1)/13
Suppose 91*g + 0*g**2 - 134*g - 117*g - 1260 - 5*g**2 = 0. Calculate g.
-18, -14
Let u = -371308 + 2599158/7. Find r such that 0 - 3/7*r**5 - u*r - 15/7*r**3 - 9/7*r**2 - 11/7*r**4 = 0.
-1, -2/3, 0
Let h(n) be the third derivative of -n**8/384 - n**7/56 + 9*n**6/320 + n**5/48 + 5095*n**2. Solve h(x) = 0 for x.
-5, -2/7, 0, 1
Let x be -36 + -1 + (496 - 456). Solve 0 + 0*y - 2/3*y**x - 14/3*y**2 = 0.
-7, 0
Let d(h) = -h**3 - h. Let l(z) = -102*z**3 + 140*z**2 - 46*z + 4. Let p be 230/184 + (45/(-12))/(-5). Let w(n) = p*d(n) - l(n). Factor w(f).
4*(f - 1)*(5*f - 1)**2
Let i(a) be the first derivative of -a**6/420 - 4*a**5/105 - 4*a**4/21 - 3*a**2/2 - 5*a + 22. Let s(u) be the second derivative of i(u). Factor s(m).
-2*m*(m + 4)**2/7
Suppose -112*x + 101*x - 2904 = 0. Let m be 11 - (-2790)/x - (-4)/(-22). Solve 2 - m*w**2 - 7/4*w = 0.
-8, 1
Suppose 7*c + 1 = 57. Solve 3*v - 8*v**3 - 4*v**2 - 2 - c*v + 7*v**3 = 0 for v.
-2, -1
Suppose 159125*y = 159181*y. Factor y - 1/4*c**2 + 35/4*c.
-c*(c - 35)/4
Let b be 31710/(-40)*304/(-25110). Let t = b - -2/837. Solve 6/5*h + 0 + 36/5*h**4 + 28/5*h**2 + t*h**3 + 2*h**5 = 0 for h.
-1, -3/5, 0
Suppose -24 - 1 = -5*a. Let h = a - 5. Factor h - 3*u**2 - 8 - 5*u + 2 + 14*u.
-3*(u - 2)*(u - 1)
Let n(l) be the second derivative of -9/20*l**5 + 1/20*l**6 + 6*l**3 + 4 + 8*l + 1/8*l**4 + 12*l**2. Suppose n(s) = 0. What is s?
-1, 4
Let a(o) = o**3 - 27*o**2 + 27*o - 22. Let z be a(26). Suppose -4*c - 16*c**2 - 18*c**2 + 34*c**2 + z*c**3 = 0. Calculate c.
-1, 0, 1
Let y(n) be the second derivative of -n**5/4 + 95*n**4/3 - 715*n**3/2 + 1575*n**2 + 8451*n. Factor y(q).
-5*(q - 70)*(q - 3)**2
Let v(l) be the first derivative of 1/12*l**4 + 0*l**2 + 50 + 0*l + 0*l**3. Determine j so that v(j) = 0.
0
Let c(p) be the first derivative of 76 - 8/11*p**2 + 5/22*p**4 - 1/33*p**6 - 2/33*p**3 + 2/55*p**5 - 8/11*p. Let c(i) = 0. What is i?
-1, 2
Let i(k) = -3*k - 25. Let n be i(-9). Suppose 80*l**n + 25*l**3 - 9 + 7 + 3 + 9 + 65*l = 0. Calculate l.
-2, -1, -1/5
Let i = -21150/203 - -3038/29. Suppose 0 + 1/7*c**3 + 4/7*c + i*c**2 = 0. What is c?
-2, 0
Factor -3868/3*z - 1870178/3 - 2/3*z**2.
-2*(z + 967)**2/3
Suppose 5*m = -5*s + 10, 4*m + 11 = 5*s + 1. Suppose -s = -3*t + 2*r, 4*t - 6 = 21*r - 20*r. Let -4/3*k**t - 2/3 - 3*k = 0. What is k?
-2, -1/4
Let g(p) = -p**3 - 2*p + 4. Suppose 20 = -4*z - 4*v, -1 = -4*z + v + 4. Let d be g(z). Suppose 5*q + 4*q**2 - d*q - 25*q + 36 = 0. Calculate q.
3
Let t = -87 - -28. Let f = -55 - t. Let s(m) = 8*m**4 - 4*m**3 - 4. Let q(x) = 7*x**4 - 5*x**3 + x**2 - 3. Let k(j) = f*q(j) - 3*s(j). Solve k(y) = 0.
0, 1
Let q(v) be the second derivative of 5*v**7/18 - 31*v**6 - 109*v**5 - 410*v**4/9 + 4529*v. Solve q(y) = 0 for y.
-2, -2/7, 0, 82
Let g be ((-7)/(-5))/(3/(4 - -11)). Suppose -37*h + 38*h - g = 0. Factor 15*a**5 - 9*a**5 - 17*a**2 - 18*a + 4*a**3 + 8*a**4 - 8*a**5 - h*a**2.
-2*a*(a - 3)**2*(a + 1)**2
Let m(u) be the third derivative of 37*u**6/660 + 5*u**5/11 + 13*u**4/11 + 8*u**3/33 + 232*u**2 - u. Factor m(r).
2*(r + 2)**2*(37*r + 2)/11
Let d(z) = 3*z**2 - 16*z - 8. Let f be d(6). Suppose f*y - 4 = 3*b, 3*b + 2*y = 4*y + 4. Solve 3*x**b - 4*x**2 - 4*x**3 + 0*x**4 - 4*x**4 = 0 for x.
-2, 0
Let v(a) be the second derivative of 17/45*a**3 + 3 - 26*a + 0*a**2 - 1/90*a**4. Let v(k) = 0. Calculate k.
0, 17
Let c(d) be the third derivative of 25*d**8/504 - 8*d**7/63 - 19*d**6/80 + 133*d**5/360 + 49*d**4/72 - 371*d**2 - 2*d. Let c(v) = 0. Calculate v.
-7/10, 0, 1, 2
Let k be (-3 - (-1 - 2))/1. Let c be 1*(7 + (-360)/54). Suppose -3*y**3 + k + 25/3*y - c*y**4 - 5*y**2 = 0. What is y?
-5, 0, 1
Determine y so that 0*y - 6/5*y**3 + 2/5*y**5 + 0*y**2 + 0 + 4/5*y**4 = 0.
-3, 0, 1
Factor 14/3*y**2 + 8 + 32/3*y + 2/3*y**3.
2*(y + 2)**2*(y + 3)/3
Solve 1300*n**2 - 106272*n - 1765*n**3 + 882*n**3 + 879*n**3 + 104976 = 0.
1, 162
Suppose -7*i - 378 = -14*i. Solve 5*z**3 + 9*z - i*z**2 + 34*z**2 + 11*z = 0.
0, 2
Let x = -189 - -191. Suppose 3*u**4 + 15*u**3 + 51 + 12*u - 104 + 53 + 24*u**x = 0. What is u?
-2, -1, 0
Solve 86*d**4 - 12*d**4 - 7*d**5 - 85*d**3 + 92*d + 59*d**2 + 20 - 153*d**4 = 0 for d.
-10, -1, -2/7, 1
Let a(f) = -11*f**3 + 25*f**2 + 97*f - 111. Let g(d) = -21*d**3 + 50*d**2 + 192*d - 221. Let w be -2 - (6 - 2) - 0. Let i(t) = w*g(t) + 11*a(t). Factor i(n).
5*(n - 7)*(n - 1)*(n + 3)
Determine x, given that 1/7*x**3 - 40/7*x**2 - 512 - 832/7*x = 0.
-8, 56
Let q be 31 - (15/25)/(30/50). Suppose -7*h + 2*h - 10 = 4*l, -5*h + q = -4*l. Solve 0 + 3/2*x**h + 0*x - 3/2*x**3 = 0 for x.
0, 1
Suppose -3*s + 5*b + 28 = -296, 2*b = 5*s - 521. Suppose -41 - 12*h - 4*h**2 - 36*h - s = 0. Calculate h.
-6
Factor 5 + 27*o**2 + 52*o - 7*o**2 - 36*o - 5.
4*o*(5*o + 4)
Let t(y) be the second derivative of 1/6*y**4 + 0 - 22*y**2 - 1/60*y**5 - 1/2*y**3 + 28*y. Let u(g) be the first derivative of t(g). Factor u(v).
-(v - 3)*(v - 1)
Suppose 12*n - 24 - 24 = 0. Let u be 14/n - (-9)/18. Suppose -10*d**5 + 12*d**u + 3*d**5 + 15*d**3 - 2*d**5 - 6*d**2 = 0. What is d?
-1, 0, 1/3, 2
Let v(o) = 2*o**2 - 17*o + 12. Let n(j) = -6*j**2 + 50*j - 36. Suppose 0 = 3*q - 28*l + 31*l - 12, -4 = q + 3*l. Let u(g) = q*v(g) + 3*n(g). Factor u(t).
-2*(t - 6)*(t - 1)
Let h = 161 - 3. Let b(r) = -9*r + 1. Let v be b(-3). Factor -8*o - 158 - v*o**2 - 20*o**3 + h.
-4*o*(o + 1)*(5*o + 2)
Let n(m) be the third derivative of 36*m - m**2 + 2*m**4 + 8/3*m**5 + 0 + 3/5*m**3. Factor n(q).
2*(20*q + 3)**2/5
Suppose -4*y = -5*x - 60, 0 = -3*y - 29*x + 25*x - 17. Suppose 72*a - 3/2*a**y + 48 