- 7 = 0.
-2, -1, -2/5, 1
Let u(j) be the first derivative of -1/24*j**6 + 0*j**2 + 6 + 0*j**5 + 0*j + 1/16*j**4 + 0*j**3. Factor u(g).
-g**3*(g - 1)*(g + 1)/4
Let o(c) be the third derivative of c**7/6720 - c**6/1440 - 7*c**5/960 - c**4/48 + c**3 - 31*c**2. Let z(v) be the first derivative of o(v). Factor z(m).
(m - 4)*(m + 1)**2/8
Let q = 8 + -2. Suppose -5*c = -u + 4*u + q, -3*u - 6 = 4*c. Factor -4/9*w**3 + 0 + 2/9*w**2 + c*w + 2/9*w**4.
2*w**2*(w - 1)**2/9
Let m(v) be the second derivative of v**5/30 + v**4/18 - 5*v**3/9 + v**2 - 54*v - 5. Suppose m(d) = 0. Calculate d.
-3, 1
Let k = -193311/7 - -27617. Determine o so that -16/7*o**3 + 0*o**4 + k + 4/7*o**5 - 8/7*o**2 + 12/7*o = 0.
-1, 1, 2
Let u = -20697 - -20699. Suppose 50/11 + 2/11*k**u + 20/11*k = 0. Calculate k.
-5
Let p be 2/(-8) + (-105)/660. Let h = p + 117/44. Factor 0 + h*j + 3/4*j**2.
3*j*(j + 3)/4
Let -211 - 40*h + 0*h**2 - 4*h**2 + 137 + 118 = 0. What is h?
-11, 1
Suppose 0*a + a + 4*v = -13, -3*v + 3 = 5*a. Factor 39*y**3 - 3 - 49*y**a + 17*y**2 - y - 3*y.
-(y - 1)**2*(10*y + 3)
Let s = 73/8 + -727/88. Let q = 15/11 - s. Suppose q*t**2 - 1/2*t - 1 = 0. Calculate t.
-1, 2
Let h(b) = 5*b + 4. Let o be h(0). Factor -39*a**4 + 25*a**o - 15*a**3 - 6*a**2 + 23*a**4.
3*a**2*(a - 2)*(3*a + 1)
Let h(k) be the second derivative of k**6/450 + 2*k**5/75 + k**3/6 + 11*k. Let g(d) be the second derivative of h(d). Determine j so that g(j) = 0.
-4, 0
Suppose -12*u = 2*u - u + 18*u. Let i be 0/(1/(0 + 1)). Suppose i*y**4 + u + 0*y + 0*y**2 - 1/4*y**5 + 0*y**3 = 0. Calculate y.
0
Let f = 88 + -87. Let v be -2*f/(-4)*58/203. Determine h so that 1/7*h**3 - v*h + 3/7 - 3/7*h**2 = 0.
-1, 1, 3
Let x(p) = -28*p**2 - 713*p - 1416. Let u(i) = 10*i**2 + 238*i + 472. Let j(h) = 17*u(h) + 6*x(h). Factor j(l).
2*(l - 118)*(l + 2)
Let i(j) = j**5 + 33*j**4 - 5*j**3 - 37*j**2 + 2*j - 2. Let n(l) = -3*l**5 - 98*l**4 + 17*l**3 + 112*l**2 - 7*l + 7. Let s(t) = -7*i(t) - 2*n(t). Factor s(x).
-x**2*(x - 1)*(x + 1)*(x + 35)
Let b(p) = p**2 - 3*p + 2. Let d(j) = -4*j**2 + 14*j - 12. Let l(o) = -28*b(o) - 6*d(o). What is f in l(f) = 0?
-2, 2
Suppose -3*f - 19 - 8 = 0. Let q be (-20)/(-6) + f/3. What is j in 1/3*j**3 + 0 + q*j + 2/3*j**2 = 0?
-1, 0
Let 2*b + 2/3*b**2 + 0 = 0. What is b?
-3, 0
Let o be 387/27 - (4 - -10). Factor -g**4 + 1/3 + 2/3*g**3 - g + 2/3*g**2 + o*g**5.
(g - 1)**4*(g + 1)/3
Find x such that 3/7*x**2 - 6/7 - 9/7*x + 9/7*x**3 + 3/7*x**4 = 0.
-2, -1, 1
Let x = -113 + 180. Suppose 62*m + 15 = x*m. Suppose 0 - 2/9*y**m + 2/9*y**2 + 0*y = 0. Calculate y.
0, 1
Suppose 32/3 + 10/3*a**2 + 2/3*a**3 - 44/3*a = 0. What is a?
-8, 1, 2
Let g be (-3 + 0)*(-2)/3 - 0. Find l such that 49*l + 3*l**2 - 95*l + g*l**2 + 51*l = 0.
-1, 0
Suppose 5*p + 2*j - 101 = 0, -94 = -4*p - 0*p + 5*j. Suppose 0*m + 7*m = p. Let 0*b - 1/3*b**2 + 0 - 1/3*b**m = 0. What is b?
-1, 0
Let r(i) be the third derivative of -i**9/9072 + i**8/5040 + i**7/504 + i**6/360 - 4*i**3 - 11*i**2. Let l(p) be the first derivative of r(p). Factor l(q).
-q**2*(q - 3)*(q + 1)**2/3
Let n(g) be the third derivative of -g**8/28 - 4*g**7/7 - 29*g**6/8 - 45*g**5/4 - 135*g**4/8 - 27*g**3/2 + 134*g**2. Let n(v) = 0. Calculate v.
-3, -1/2
Let k(z) be the first derivative of 14 - 2/33*z**3 - 2/11*z**2 + 0*z. Factor k(h).
-2*h*(h + 2)/11
Let z be 36/(-30) - ((-3 - -2) + (-10)/30). Suppose -2/5*l - 2/5*l**2 - 2/15*l**3 - z = 0. What is l?
-1
Let h = 1939/2 - 17443/18. Determine x so that 1/9*x**2 + 4/9 + h*x = 0.
-2
Suppose -2/19*u**2 - 42/19*u - 4 = 0. What is u?
-19, -2
Let k be 3*1/9*6. Let w be (24/(-42))/2 - (-40)/91. Determine d so that -2/13 - w*d**k - 4/13*d = 0.
-1
Factor -22996*h**2 + 8 - 96 - 4*h**3 + 22916*h**2 + 172*h.
-4*(h - 1)**2*(h + 22)
Let m = -21598 + 21600. Factor 2/9*p**m + 242/9 - 44/9*p.
2*(p - 11)**2/9
Suppose -2*r - 4*p + 136 = 2*r, -3*p = -5*r + 130. Suppose -33*m = -r*m. Determine k so that m - 34/7*k**4 + 68/7*k**3 - 8*k**2 + 6/7*k**5 + 16/7*k = 0.
0, 2/3, 1, 2
Let p be (1/3)/((-18)/(-108)). Suppose -12 = -2*z - 4*x - 4, -4*x = -p*z. Factor 2 - 8*i + z - 6*i**2 - 6.
-2*(i + 1)*(3*i + 1)
Let m(c) be the second derivative of 1/20*c**6 + 0*c**2 + 4*c + 0 - 3/4*c**3 - 5/8*c**4 - 3/40*c**5. Let m(t) = 0. What is t?
-1, 0, 3
Let g(b) = -b**3 - 5*b**2 - 6*b + 7. Let k be g(-5). Suppose -40*x + k*x = 0. Determine a, given that x*a**2 + 1/6*a**4 + 2/3*a**3 - 8/3*a - 8/3 = 0.
-2, 2
Let c be (-94)/(-12) + -4 + 75/18. Let w be 5 - (5 + c/(-4)). Suppose 2/5 - 4/5*m - w*m**2 + 12/5*m**3 = 0. Calculate m.
-1/2, 1/3, 1
Factor 648/5 - 72/5*o + 2/5*o**2.
2*(o - 18)**2/5
Let n(s) be the first derivative of 0*s + 25*s**2 - 27 + 20/3*s**3 + 1/2*s**4. Find j, given that n(j) = 0.
-5, 0
Factor -1024/5 + 896*u + 572/5*u**2 + 18/5*u**3.
2*(u + 16)**2*(9*u - 2)/5
Let k = -35 - -39. Factor -385*a**3 - 2*a**k + 385*a**3 + 2*a**2.
-2*a**2*(a - 1)*(a + 1)
Let m be (390/8 + 0)/(33/88). Let v = -127 + m. Let 6/13*k**4 + 0 - 4/13*k**5 - 2/13*k**2 + 0*k + 0*k**v = 0. What is k?
-1/2, 0, 1
Suppose i - h + 6 = -i, 0 = i + h + 6. Let q(p) = 4*p**4 - 5*p**3 - 2*p - 2. Let r(t) = -t**4 + t**3 - t**2 + t + 1. Let y(f) = i*r(f) - 2*q(f). Factor y(n).
-2*n**2*(n - 2)*(2*n + 1)
Find g, given that -26/5*g - 72/5 + 26/5*g**3 + 14*g**2 + 2/5*g**4 = 0.
-9, -4, -1, 1
Let c(i) be the second derivative of i**5/160 - i**3/16 + 5*i**2 + 15*i. Let f(o) be the first derivative of c(o). Factor f(d).
3*(d - 1)*(d + 1)/8
Let l(g) = -3*g**3 + 214*g**2 + 14696*g + 343024. Let t(h) = 8*h**3 - 641*h**2 - 44089*h - 1029066. Let n(m) = 11*l(m) + 4*t(m). Find i, given that n(i) = 0.
-70
Let n(c) = -3*c**2 - 4*c. Let s = -4 + 6. Let y(l) be the second derivative of 5*l**4/2 + 13*l**3/2 - 2*l + 140. Let b(v) = s*y(v) + 21*n(v). Factor b(i).
-3*i*(i + 2)
Let s = -7408 + 7410. Solve 2 - s*c**2 - 2/3*c + 2/3*c**3 = 0.
-1, 1, 3
Let f(c) = -7*c**2. Let m(s) = -1. Let n(q) = -6*q**2 - 10. Let x(l) = 10*m(l) - n(l). Let z(t) = -3*f(t) - 4*x(t). Factor z(a).
-3*a**2
Let o be ((-36)/(-70))/(63/(-30)). Let j = 9/49 - o. Suppose 0*d**3 - 6/7*d**2 + 0 + 3/7*d - j*d**5 + 6/7*d**4 = 0. What is d?
-1, 0, 1
Let s(d) be the first derivative of -3*d**2 - 11 + 3/2*d**6 + 21/5*d**5 + 0*d - 7*d**3 - 3/4*d**4. Determine m so that s(m) = 0.
-2, -1, -1/3, 0, 1
Let n(z) be the first derivative of z**5/15 + z**4/6 + 9*z**2/2 - 9. Let c(r) be the second derivative of n(r). Determine g, given that c(g) = 0.
-1, 0
Let r(n) be the second derivative of -11/4*n**4 + 3/20*n**5 - 75/2*n**2 + 0 + 35/2*n**3 - 8*n. What is p in r(p) = 0?
1, 5
Let m be (-7 + 3)/((-4)/3). Factor 81/7 - 108/7*h + 54/7*h**2 - 12/7*h**m + 1/7*h**4.
(h - 3)**4/7
Let x be -1 + (2 - 3) + 4. Let o be ((-30)/(-25))/(x/5). Factor -4*u**2 + 13*u**3 - u**o + 20*u**2 + 4*u.
4*u*(u + 1)*(3*u + 1)
Let s(v) = -6*v**3 + 5*v**2 + 9*v - 5. Let u(d) = -d**2 - d + 1. Let k(y) = -y**2 - y + 1. Let t(c) = 4*k(c) - 5*u(c). Let j(o) = s(o) - 3*t(o). Factor j(p).
-2*(p - 1)*(p + 1)*(3*p - 1)
Let z(i) be the third derivative of -11*i**8/40320 - i**7/1120 + i**6/720 + 7*i**5/60 - 7*i**2. Let n(t) be the third derivative of z(t). Factor n(x).
-(x + 1)*(11*x - 2)/2
Let b(h) = -10*h**3 - 23*h**2 - 20*h + 7. Let o(n) = 5*n**3 + 11*n**2 + 10*n - 4. Let q = 25 + -29. Let d(w) = q*b(w) - 7*o(w). Factor d(a).
5*a*(a + 1)*(a + 2)
Suppose 6*u = 2*u - 28. Let k = -2 - u. Solve -5*d + 6 - 9*d + 9*d**3 - 12*d**2 + 6*d**4 + k*d = 0 for d.
-2, -1, 1/2, 1
Let g(v) be the third derivative of -2*v**7/315 + v**6/60 + 11*v**5/30 + 13*v**4/36 - 5*v**3/3 + 17*v**2 + 4. Solve g(r) = 0 for r.
-3, -1, 1/2, 5
Find q such that -16*q + 6*q**2 - 26 - 12*q**2 - 45*q - 19*q = 0.
-13, -1/3
Let g be (9/22)/(36/216). Let j(a) be the second derivative of 0 + 3/22*a**4 + 9/11*a**3 - 3*a + g*a**2 + 1/110*a**5. Suppose j(o) = 0. Calculate o.
-3
Let q be 0 + (-6)/(-2) - -2. Suppose -4*d + q*a = d, 2*a = d + 5. Factor v**2 - 6*v**3 - 11*v**d + 6*v**4 + 9*v**5 + v**2.
-2*v**2*(v - 1)**3
Suppose 0 = 2*z - 5*x + 5, 3*x - 18 = -2*z + 17. Factor 40*l + 20 - 68*l**3 + 16*l**3 - 5*l**4 + 5*l**5 + z*l**3 + 5*l**2 + 17*l**3.
5*(l - 2)**2*(l + 1)**3
Suppose 0 = 5*s - 3*f - 22, 53 = 4*s + 5*f + 65. Factor 2/5*x - 1/5*x**s + 0.
-x*(x - 2)/5
Factor 2/11*p**5 + 3968/11*p**2 + 128/11*p**4 + 0 + 1922/11*p + 2172/11*p**3.
2*p*(p