2*(x - 75)**2/5
Suppose -1012*f + 1010*f - 4*r = 0, 5*f + 2*r = 0. Find d, given that 15*d**3 + 13/4*d**4 + f + 28*d**2 + 1/4*d**5 + 16*d = 0.
-4, -1, 0
Factor 144*t**2 + 17*t**3 + 67*t**2 - t**4 + 223*t**2.
-t**2*(t - 31)*(t + 14)
Let m(g) be the third derivative of -1/30*g**6 - 1/12*g**4 + 1/12*g**5 + 0*g + 0*g**3 + 0 + 1/210*g**7 - 9*g**2. Determine y, given that m(y) = 0.
0, 1, 2
Let c = 9/102374 + 307059/716618. Let -c*q**4 + 3/7*q**2 + 9/7*q**3 + 0 - 6/7*q**5 - 3/7*q = 0. What is q?
-1, 0, 1/2, 1
Let l = -22 - -26. Suppose l*u + b + 5 = 17, 0 = 4*b + 16. Let 2/3*s**2 + u*s + 10/3 = 0. What is s?
-5, -1
Let m(t) = t**2 + 13*t + 10. Let l be m(-13). Suppose 36 = l*g - g. Let -163*r**5 - 5*r + 4*r**4 + 162*r**5 + r**g + 1 - 10*r**3 + 10*r**2 = 0. Calculate r.
1
Let z be ((-276)/(-207))/((-2)/(-3)). Let s(g) be the first derivative of -5/3*g**3 - 125*g - 25*g**z - 32. Factor s(o).
-5*(o + 5)**2
Let i(h) = -1. Let k(x) = -x**3 + x**2 + 6. Let s(a) = -6*i(a) - k(a). Let v = -267 + 266. Let m(p) = 8*p**3 - 8*p. Let u(l) = v*m(l) + 4*s(l). Factor u(q).
-4*q*(q - 1)*(q + 2)
Suppose -11*n - 105 = -46*n. Let p(z) be the first derivative of -25/3*z**n - 5*z**4 - z**5 - 5*z**2 - 30 + 0*z. Factor p(q).
-5*q*(q + 1)**2*(q + 2)
Let x be 3 + (-744)/60 + (5 - -6). Let q(r) be the first derivative of -x*r**5 + 0*r + 0*r**2 + 4/3*r**3 - 25 + r**4. Factor q(u).
-4*u**2*(u - 1)*(2*u + 1)
Let j be (3 - 87/42) + (8 - 1121/133). Factor -j*l**4 + 1/4*l**5 + 0*l**3 + 0 - 1/4*l + 1/2*l**2.
l*(l - 1)**3*(l + 1)/4
Let l = 20 + -14. Let d be l*1/6 + (-1)/(-1). Factor 3 - 6 + 4*o**3 - 4*o + 5*o**4 - 4*o**4 + 2*o**d.
(o - 1)*(o + 1)**2*(o + 3)
Let m = -22622/153 + 7552/51. What is x in -4/3 + 2/9*x**2 + m*x = 0?
-3, 2
Let v(l) = -3*l + 3. Let g be v(0). Factor 2/7*k - 4/7*k**2 + 4/7 - 2/7*k**g.
-2*(k - 1)*(k + 1)*(k + 2)/7
Let m(w) be the second derivative of w**4/3 + 46*w**3/3 - 100*w**2 - 22*w - 8. Factor m(s).
4*(s - 2)*(s + 25)
Factor -219/2*v + 1/2*v**2 - 110.
(v - 220)*(v + 1)/2
Let n = 15644 + -46928/3. Let y(o) be the first derivative of 0*o**2 - n*o**3 + 0*o - 16. Factor y(h).
-4*h**2
Let m be 0/(164/(-3690)*-45). Factor -2*v + 11/3*v**2 - 2*v**3 + 1/3*v**4 + m.
v*(v - 3)*(v - 2)*(v - 1)/3
Let h(o) be the third derivative of -3/10*o**6 + 0*o**3 + 0*o**5 + 0*o - 160*o**2 - 1/336*o**8 - 2/35*o**7 + 0*o**4 + 0. Factor h(l).
-l**3*(l + 6)**2
Let b = 134096/80457 - 1/80457. Determine m so that 64/3*m**2 - 32/3*m + 0 + 38/3*m**3 + b*m**4 = 0.
-4, 0, 2/5
Let v be (35/(-189))/(-5*3/6). Let m(a) be the first derivative of -v*a**3 + 12 - 1/9*a**2 + 2/9*a + 1/18*a**4. Let m(z) = 0. What is z?
-1, 1
Let b(x) be the second derivative of 2349*x**5/110 - 267*x**4/22 + 8*x**3/33 + 12*x**2/11 - 1895*x. Factor b(a).
2*(9*a - 2)**2*(29*a + 3)/11
Let t(a) be the second derivative of -a**6/150 + a**5/20 - a**4/15 + 3362*a. Suppose t(d) = 0. Calculate d.
0, 1, 4
Let j be 414/(-115)*5/(-3). Let t be j + -1 + 4/(-2). Determine v, given that 1/2 + 0*v**t + 0*v + 1/2*v**4 - v**2 = 0.
-1, 1
Let k(f) = 4*f**2 - 1. Let z be k(2). Suppose -6*m + 3*m + 4*v + z = 0, -2*m + 10 = -4*v. Factor 9 + 2*i - m*i**2 + 3*i**3 + i - 2*i**3.
(i - 3)**2*(i + 1)
Determine w so that -115/2*w**2 - 75/2*w**3 + 1/4*w**5 - 155/4*w - 35/4*w**4 - 39/4 = 0.
-1, 39
Let v(x) = x**2 + 6*x + 5. Let q be v(-6). Let s(o) = 35*o + 37. Let j be s(-1). Factor f**2 + 7 + q*f + 17*f + 0*f**j + 114.
(f + 11)**2
Let w(z) be the first derivative of -1/21*z**3 + 3/7*z + 4 - 1/7*z**2. Factor w(u).
-(u - 1)*(u + 3)/7
Let l(y) be the third derivative of y**8/224 - 2*y**7/35 + 3*y**6/20 + 417*y**2 + 1. Factor l(u).
3*u**3*(u - 6)*(u - 2)/2
Let s(o) be the third derivative of o**5/12 - 113*o**4/24 + 3*o**2 + 26*o. Find y such that s(y) = 0.
0, 113/5
Let i(o) be the first derivative of 3/16*o**4 - 9/8*o**2 + 3/2*o + 0*o**3 + 15. Factor i(p).
3*(p - 1)**2*(p + 2)/4
Factor f**4 - 11997*f**2 + 20*f - 11995*f**2 - 20*f**3 + 23991*f**2.
f*(f - 20)*(f - 1)*(f + 1)
Let y be (-3)/(-18) + (530/60 - 7). Let h(z) be the third derivative of -1/90*z**5 + 0 + 5/18*z**4 + 0*z - 25/9*z**3 + 4*z**y. Suppose h(j) = 0. Calculate j.
5
Find s such that 39/5*s**3 + 1/5*s**5 + 16*s - 139/5*s**2 + 0 + 19/5*s**4 = 0.
-16, -5, 0, 1
Let h(g) be the first derivative of -3*g**4/4 + 70*g**3/3 - 203*g**2/2 + 60*g - 1145. Factor h(o).
-(o - 20)*(o - 3)*(3*o - 1)
Let l(n) be the second derivative of 1/45*n**5 + 6*n + 0*n**2 - 5 + 2/9*n**3 - 5/27*n**4 + 2/135*n**6. What is h in l(h) = 0?
-3, 0, 1
Let t(k) be the second derivative of -25/12*k**3 + 0 + 125/24*k**2 - 1/360*k**6 + 1/40*k**5 + 17*k + 5/36*k**4. Factor t(r).
-(r - 5)**2*(r - 1)*(r + 5)/12
Suppose -1/2*g**2 - 78*g - 155/2 = 0. What is g?
-155, -1
Let x(c) be the first derivative of -4*c + 1/33*c**3 - 1/33*c**4 - 1/110*c**5 + 7 + 2/11*c**2. Let t(i) be the first derivative of x(i). Factor t(z).
-2*(z - 1)*(z + 1)*(z + 2)/11
Suppose 5*w + 2*v - 66 = 3*v, 3*w - 4*v - 43 = 0. Factor 14*r + 34*r - 3*r**2 - 6 - 8*r**2 - w*r.
-(r - 3)*(11*r - 2)
Suppose 147 = 2*l + p, -3*l - 2*p + 201 = -7*p. Factor -t + 2*t**2 + 3*t + 14*t + 7*t - l - 5*t.
2*(t - 3)*(t + 12)
Solve 53*a - 13 + 97*a - 2*a**5 - 20*a**3 - 4*a**2 + 3 - 128*a + 14*a**4 = 0 for a.
-1, 1, 5
Suppose -11*a + 26 = 4. Let 33*d**2 - 25*d**a - 32*d + 60 - 4*d**2 = 0. What is d?
3, 5
Find h, given that 2/17*h**3 + 0 - 52/17*h**2 - 112/17*h = 0.
-2, 0, 28
Let d be -7 - -1*(-4)/(-2). Let c(n) = -5*n**2 - 9*n - 12. Let j(z) = 3 + 3*z**2 + 3 + 6*z + 2. Let t(w) = d*c(w) - 8*j(w). Factor t(h).
(h - 4)*(h + 1)
Let u be 8/(-26) - 524/(-689). Let a = u + -91/318. Factor 27/2 + a*z**2 - 3*z.
(z - 9)**2/6
Let q(f) be the first derivative of f**6/120 + 3*f**5/4 + 225*f**4/8 - f**3/3 + 16*f + 136. Let z(b) be the third derivative of q(b). Solve z(x) = 0.
-15
Factor -2/7*d**3 + 740/7*d**2 - 2936/7*d + 2928/7.
-2*(d - 366)*(d - 2)**2/7
Let s be (-7 - 2) + (-589578)/(-63490). Let d = s - 2/4535. Suppose 2/7*k + 0 + d*k**2 = 0. Calculate k.
-1, 0
Determine p, given that 4*p + 161*p - 3*p**3 - 11*p**2 - 3*p**2 - 4*p**2 = 0.
-11, 0, 5
Let r(b) be the second derivative of 3/7*b**3 + 17/28*b**4 + 0*b**2 - 90*b + 3/28*b**5 + 0. Factor r(d).
3*d*(d + 3)*(5*d + 2)/7
Let t(w) be the third derivative of w**5/480 - 11*w**4/48 + 7*w**3/4 + 6964*w**2. Let t(g) = 0. What is g?
2, 42
Let r be ((-9)/(-12))/(4/3200). Suppose 2*l - r = l. Factor -192 - 160*d**4 - 6*d**5 - 720*d - l*d**3 - 20*d**4 - 960*d**2 - 15*d**5.
-3*(d + 2)**4*(7*d + 4)
Let f be (14/(-147)*6)/(1 + 264/(-56)). Factor -22/13*h - 12/13*h**2 - f*h**3 - 12/13.
-2*(h + 1)*(h + 2)*(h + 3)/13
Find n such that 1/8*n**2 + 1 + 9/8*n = 0.
-8, -1
Let m = 7 + -5. Suppose n + 2*g = 10, -g = 4*n + m*g - 30. Factor -15*x - 2 + 16*x - n*x**2 + x**2 + 6*x**2.
(x - 1)*(x + 2)
Let v(i) be the second derivative of 21*i**4/44 + 317*i**3/66 + 5*i**2/11 + 2*i + 113. Find x, given that v(x) = 0.
-5, -2/63
Let x(o) be the first derivative of -5/3*o**3 - 3/4*o**4 - 151 - 1/15*o**5 + 25/6*o**2 + 0*o. Suppose x(a) = 0. Calculate a.
-5, 0, 1
Suppose 2*d = 99 + 231. Let u be -3 - d/(-9) - 12/3. Factor -22/3*f + 10/3*f**4 + 14*f**2 - u*f**3 + 4/3.
2*(f - 1)**3*(5*f - 2)/3
Let t be (854/(-56) - -15)*(-3)/(21/56). Factor -9/4 + 141/2*c - 2209/4*c**t.
-(47*c - 3)**2/4
Let m = 545 - 547. Let y(n) = 2*n**2 - 3*n - 1. Let p(d) = -2*d**2 - 308*d + 78. Let b(o) = m*p(o) + 12*y(o). Factor b(a).
4*(a + 21)*(7*a - 2)
Let w(l) be the second derivative of l**4/8 + 45*l**3/4 - 141*l**2/2 - 753*l. Suppose w(b) = 0. What is b?
-47, 2
Let b be 1344/(-128)*1*202. Let y = b + 2123. Factor -9/4*d - 3*d**y - 3/4*d**3 + 0.
-3*d*(d + 1)*(d + 3)/4
Let l = 124 - 107. Factor -2*k**3 + 26*k + l*k - 35*k.
-2*k*(k - 2)*(k + 2)
Let u(r) = r**2 - 8*r + 17. Let d be u(4). Suppose 3*v - 2*v + 4*q - 22 = 0, 3*v - q = d. Factor -11*t + 4*t**v - 12*t**3 + 10*t - t**2 - 12 + 49*t.
-3*(t - 2)*(t + 2)*(4*t - 1)
Let z(x) be the first derivative of -x**6/600 + x**5/60 + x**4/15 - 2*x**3/5 + 11*x**2 + 85. Let a(g) be the second derivative of z(g). Factor a(w).
-(w - 6)*(w - 1)*(w + 2)/5
Let b(h) be the first derivative of -h**4/22 - 2*h**3/11 + 10*h**2/11 + 48*h/11 + 6124. Factor b(r).
-2*(r - 3)*(r + 2)*(r + 4)/11
Let l(o) be the first derivative of 34/11*o**3 + 6/11*o**2 - 223 + 45/22*o**4