o + 1)
Determine q, given that 46/5*q**4 + 86/5*q**3 + 0*q + 42/5*q**2 + 2/5*q**5 + 0 = 0.
-21, -1, 0
Let f = 3032/15 + -202. Let t be ((-10)/40)/(3/(-8)). Factor 8/15*h**4 - f*h**5 + 0 + 4/15*h**2 + 0*h - t*h**3.
-2*h**2*(h - 2)*(h - 1)**2/15
Let i = 5/56 - 31/504. Let o(b) be the third derivative of 0*b + 1/90*b**5 + 0*b**3 + 0 + 6*b**2 - i*b**4. Factor o(r).
2*r*(r - 1)/3
Let l(y) = -4*y**2 - 138*y - 2454. Let h(x) = 13*x**2 + 413*x + 7364. Let p(v) = 2*h(v) + 7*l(v). Factor p(m).
-2*(m + 35)**2
Let n = -93 + 71. Let z(q) = q**3 + 21*q**2 - 22*q. Let t be z(n). Factor t + 2*o**3 + 2/3*o**4 + 0*o**2 - 8/3*o.
2*o*(o - 1)*(o + 2)**2/3
Let t(q) be the third derivative of -64*q**7/21 + 84*q**6/5 - 106*q**5/5 + 149*q**4/12 - 4*q**3 - 381*q**2. Factor t(f).
-2*(4*f - 1)**3*(5*f - 12)
Suppose -5*n - 2*d = -9, -5*d + 6*d = -n. Let f(m) be the second derivative of 0*m**n + 0 + 5*m + 0*m**2 - 1/12*m**4. Factor f(a).
-a**2
Let p = 72946 + -18382333/252. Let k = p + 1/63. Factor -1/4*s**2 + k*s**3 + 0 + 0*s.
s**2*(s - 1)/4
Let h(q) be the third derivative of 0*q**7 + 0*q**4 + 0 - 1/504*q**8 + 0*q**3 + 1/60*q**6 - 1/45*q**5 - 2*q**2 + 0*q. Solve h(p) = 0.
-2, 0, 1
Let y(a) be the second derivative of -a**4/126 + 2*a**3/21 + a**2/3 + 54*a. Factor y(f).
-2*(f - 7)*(f + 1)/21
Let d = -520 - -4675/9. Let p = d + 37/18. Let o + 1/2*o**2 - p = 0. Calculate o.
-3, 1
Let r be 13 - 15 - (-2 + 0 + 0). Let i(w) be the third derivative of 0 + r*w - 1/20*w**5 + 0*w**3 + 0*w**4 + 4*w**2. Factor i(b).
-3*b**2
Let q(u) be the first derivative of -u**4/4 - 20*u**3 + u**2/2 + 60*u + 616. Factor q(d).
-(d - 1)*(d + 1)*(d + 60)
Let a be 8/7*42/8*(-106)/(-159). Let -21*m**a - 22*m - 145/2*m**3 - 143/2*m**2 - 2 = 0. What is m?
-2, -1, -2/7, -1/6
Factor 50*w**4 - 20*w**3 + 3670 - 3670 - 4*w**5 - 8*w**2 - 66*w**4.
-4*w**2*(w + 1)**2*(w + 2)
Let r(c) be the second derivative of c**6/330 - c**4/44 + c**3/33 - 174*c. Factor r(d).
d*(d - 1)**2*(d + 2)/11
Let o(d) be the first derivative of 2*d - 1/2*d**3 + 12 + d**2. Factor o(q).
-(q - 2)*(3*q + 2)/2
Suppose -807/5*h - 46 - 7/5*h**2 = 0. What is h?
-115, -2/7
Let w = 14815/3 + -4938. Factor -1/6*f**3 + 1/6*f - 1/3 + w*f**2.
-(f - 2)*(f - 1)*(f + 1)/6
Let v(y) be the third derivative of y**8/168 + 4*y**7/105 - 19*y**6/60 + 7*y**5/15 - 71*y**2. Find z such that v(z) = 0.
-7, 0, 1, 2
Let z be (-318)/(-30) - (16/10 - 1). Suppose 8*t + 2*h - z = 3*t, 4*t - 3*h = 8. Determine r so that 0 + 0*r - 3/2*r**3 - r**t - 1/2*r**4 = 0.
-2, -1, 0
Let f(n) be the third derivative of 0 - 1/8*n**4 + 0*n + 6*n**2 - n**3 + 1/40*n**6 + 1/10*n**5. Suppose f(c) = 0. Calculate c.
-2, -1, 1
Let r = 65 - 24. Let x = r - 39. Let -1/4 + 1/4*b**x + 0*b = 0. What is b?
-1, 1
Suppose -2*w - 26 = -5*w + 5*h, 0 = -2*w - h. Factor v**2 - 9*v**4 + 3*v**2 - 2*v**w - 4*v**2 - 11*v**3.
-v**2*(v + 1)*(9*v + 2)
Let -2/11*p**3 - 4/11*p + 0 + 6/11*p**2 = 0. Calculate p.
0, 1, 2
Suppose 0 = -10*x + 9*x + 4*u - 9, 4*x + 3*u = 21. Let i(m) be the first derivative of 3/2*m**2 + 0*m + 2 - 2*m**x. Determine f, given that i(f) = 0.
0, 1/2
Suppose -2/5*r**2 + 4/5*r + 0 = 0. What is r?
0, 2
Suppose -6 = -2*u + 4*k, 4*u - k - 12 = -4*k. Let b be (-17)/(-4) - 2/8. Factor -u*l**2 + 5*l + b*l - 8*l.
-l*(3*l - 1)
Let u be (-2)/19*(-75)/(-80). Let c = u + 4939/760. Suppose c*w + 4*w**2 + 4/5*w**3 + 16/5 = 0. Calculate w.
-2, -1
Let p(d) be the second derivative of 5*d**7/63 + 19*d**6/15 + 101*d**5/15 + 76*d**4/9 - 32*d**3 - 128*d**2/3 + 93*d. Let p(r) = 0. Calculate r.
-4, -2/5, 1
Let v(b) = -b**2 - 2*b. Let p(s) = 2*s**3 + 117*s**2 + 1684*s. Let i(c) = p(c) + v(c). Factor i(m).
2*m*(m + 29)**2
Let r(q) be the third derivative of q**8/420 - 4*q**7/525 - 7*q**6/50 - 22*q**5/75 + 2*q**4/3 + 16*q**3/5 - q**2 + 69. Let r(t) = 0. Calculate t.
-2, -1, 1, 6
Determine z so that 0*z**3 + 0 - 64/13*z**2 + 0*z + 12/13*z**4 - 2/13*z**5 = 0.
-2, 0, 4
Suppose -12/5 - 3/5*v + 3*v**2 = 0. Calculate v.
-4/5, 1
Suppose -u - 2*g + 28 = 0, 4*u + 0*u + 3*g - 87 = 0. Suppose -14*x**5 - 9 - 6*x**2 + 10*x**5 - 17*x + x**5 - u*x**3 + 38*x + 15*x**4 = 0. What is x?
-1, 1, 3
Let d be (16/(-56))/(10*(-18)/945). Suppose -7/4 - d*i + 1/4*i**2 = 0. What is i?
-1, 7
Let b(k) be the third derivative of 29*k**5/510 - 5*k**4/17 + 4*k**3/51 - 169*k**2. Suppose b(u) = 0. What is u?
2/29, 2
Let z(b) be the second derivative of 4*b**6/15 - 13*b**5/10 + 5*b**4/2 - 7*b**3/3 + b**2 - 19*b. Factor z(t).
2*(t - 1)**3*(4*t - 1)
Factor 325*l**2 - 161*l**2 - l - 182*l**2.
-l*(18*l + 1)
Let j(d) be the third derivative of d**7/350 + 47*d**6/50 + 2209*d**5/25 - 2*d**2 + 28*d. Factor j(h).
3*h**2*(h + 94)**2/5
Let f be (-1)/(-14 + 2) + (-3)/(-18). Let o(p) be the first derivative of 0*p - f*p**2 + 1/12*p**3 - 4. What is j in o(j) = 0?
0, 2
Let -16436*y**3 + y**5 - y + 2*y**2 + 16429*y**3 + 13*y - 8 = 0. Calculate y.
-2, 1, 2
Suppose 0 = -51*x + 1 + 101. Find b such that -5/4*b**4 - 1/2 + 1/4*b**3 + 1/4*b + 7/4*b**x - 1/2*b**5 = 0.
-2, -1, 1/2, 1
Let f be -14*2/(-12) - (-37 + 39). Let g(p) be the third derivative of 0*p + f*p**3 - 1/60*p**5 - 1/24*p**4 - 6*p**2 + 0. Factor g(x).
-(x - 1)*(x + 2)
Suppose 115 + 181 = 37*c. Let v(b) be the first derivative of 0*b - 1/18*b**4 + c - 2/27*b**3 + 0*b**2. Determine i so that v(i) = 0.
-1, 0
Let i be (1/(-6))/(((-616)/330)/14). What is j in -125/4 + 25/2*j - i*j**2 = 0?
5
Let r(y) be the second derivative of -y**5/150 + 5*y**4/18 - 35*y**3/9 + 25*y**2 + 14*y + 9. Solve r(s) = 0.
5, 15
Suppose 0 = -2*n + 4. Suppose -2 + 0*p**3 + 10 - 19*p + 15*p + 4*p**3 - 8*p**n = 0. What is p?
-1, 1, 2
Let y be 2/13 - (-420)/(-5265). Let k(q) be the first derivative of -y*q**3 + 0*q**2 + 9 - 1/18*q**4 + 0*q. Factor k(z).
-2*z**2*(z + 1)/9
Let u(g) = g**3 - 5*g**2 + 5*g - 2. Let y be u(4). Let -430*o**2 + 427*o**y + 1 - 1 - o**3 = 0. Calculate o.
-3, 0
Let p be (-4)/7*6/(-12). Let q = -5603 - -5605. Factor 4/7*f + p*f**q + 0.
2*f*(f + 2)/7
Let t = 4719 - 42469/9. Factor 2/9*b + t*b**2 + 0.
2*b*(b + 1)/9
Let m = -4894 + 4894. Factor -9/2*i**2 + m - 39/8*i**3 - 9/4*i**4 - 3/8*i**5 - 3/2*i.
-3*i*(i + 1)**2*(i + 2)**2/8
Let -1/5*t**2 + 29/5 + 28/5*t = 0. What is t?
-1, 29
Let n(h) be the third derivative of -h**6/72 + h**5/8 + h**3/2 + 13*h**2. Let q(g) be the first derivative of n(g). Factor q(s).
-5*s*(s - 3)
Solve 4/7*f**2 - 328/7*f + 6724/7 = 0 for f.
41
Factor 19/3*i + 2/3 - 10/3*i**2.
-(i - 2)*(10*i + 1)/3
Let n be (-5)/(-3)*(-870)/(-11600). Factor -1/8*t + 0 + n*t**3 + 0*t**2.
t*(t - 1)*(t + 1)/8
Let m = 15955/23937 - -1/7979. Factor 0*c**3 + c**2 + m*c - 1/3*c**4 + 0.
-c*(c - 2)*(c + 1)**2/3
Let s = 17552/7 - 2507. Factor -s*y**2 + 0*y + 3/7.
-3*(y - 1)*(y + 1)/7
Let c(y) be the second derivative of y**4/21 + 44*y**3/7 + 2178*y**2/7 - 108*y. Factor c(w).
4*(w + 33)**2/7
Determine c, given that 1/5*c**3 + 9/5 - c**2 + 3/5*c = 0.
-1, 3
Factor -7*m**2 - 10*m**2 + 15*m + 50 + 26*m**2 - 14*m**2.
-5*(m - 5)*(m + 2)
Let q(n) be the third derivative of -n**7/210 - 3*n**6/40 - 11*n**5/30 + 16*n**3/3 - 208*n**2. Factor q(b).
-(b - 1)*(b + 2)*(b + 4)**2
Let f(p) be the third derivative of p**7/840 - p**6/240 - p**5/20 - 13*p**4/12 + 20*p**2. Let v(y) be the second derivative of f(y). Find x such that v(x) = 0.
-1, 2
Let r(m) be the first derivative of 3/28*m**4 + 10 + 72/7*m**2 + 12/7*m**3 + 192/7*m. Factor r(b).
3*(b + 4)**3/7
Let y(j) be the second derivative of 1/12*j**4 + 1/20*j**5 + 18*j + 0 - 2/3*j**3 - 2*j**2. Factor y(z).
(z - 2)*(z + 1)*(z + 2)
Let n(q) be the second derivative of q**5/90 - 2*q**4/27 + 4*q**3/27 + 14*q - 7. Find k such that n(k) = 0.
0, 2
Let c(r) be the third derivative of r**7/17640 - r**6/1680 - r**4/24 + 7*r**2. Let h(t) be the second derivative of c(t). Let h(a) = 0. What is a?
0, 3
Let u(b) = b. Let m(h) = -2*h**2 - 2*h. Let q(x) = m(x) - 2*u(x). Let q(c) = 0. Calculate c.
-2, 0
Let t(n) be the first derivative of -5*n**4/4 - 100*n**3/3 - 85*n**2/2 + 190*n + 581. Let t(l) = 0. Calculate l.
-19, -2, 1
Let k(h) be the first derivative of 0*h**2 + 3 + 0*h**4 - 1/120*h**6 + 0*h - 4/3*h**3 - 1/20*h**5. Let p(f) be the third derivative of k(f). Solve p(g) = 0.
-2, 0
Suppose 3*v = 4*z + 79, 5*z = -3*v + 20 + 23. Let -v*i**2 - 2*i**4 - 5*i**3 + 12*i**4 + 21*i**2 = 0. What is i?
0, 1/2
Factor 