g**4 + 0*g + 0*g**3 - 28/3*g**5 + 0. Let y(f) = 0. Calculate f.
-2/5, -2/11, -2/19, 0
Suppose -5*g + 3*z + 4513 = 4507, -13*g + 4*z + 8 = 0. Factor -3/2*u**3 + 2*u**2 + 0*u - 1/2*u**4 + g.
-u**2*(u - 1)*(u + 4)/2
Let i be (-1224)/420*(0 - (-20)/(-12)). Solve 4/7 - i*m**2 + 30/7*m = 0.
-2/17, 1
Suppose -2/5*b**4 + 0 - 1/5*b**5 - 2*b**2 + 0*b + 13/5*b**3 = 0. Calculate b.
-5, 0, 1, 2
Let q(j) be the first derivative of j**5/25 + 149*j**4/10 + 7499*j**3/5 + 22052*j**2/5 + 21904*j/5 - 3303. Factor q(y).
(y + 1)**2*(y + 148)**2/5
Let q(i) be the third derivative of 0*i**3 + 2 + 1/12*i**5 + 0*i**4 - 2/21*i**7 + 0*i + 1/8*i**6 + i**2. Factor q(m).
-5*m**2*(m - 1)*(4*m + 1)
Let m be 0 + ((-33)/(-39600)*2704 - 2/(-25)). Suppose 6*c**2 + 1/3*c**4 + 20/3*c + m*c**3 + 8/3 = 0. What is c?
-2, -1
Find a, given that 4*a**4 - 4/3*a**2 - 6*a + 16/3*a**3 - 8/3 + 2/3*a**5 = 0.
-4, -1, 1
Let y = 569286 + -569284. Factor -16/5 - 12*w**y - 128/5*w.
-4*(w + 2)*(15*w + 2)/5
Let q = -56 + 56. Suppose -z - 13 + 96 = q. Factor -41*d**2 - d**3 + z*d**2 - 41*d**2.
-d**2*(d - 1)
Let r(l) be the third derivative of -13*l**7/70 + l**6/60 + 117*l**5/20 - 3*l**4/4 - 6*l**2 + 44*l + 1. Determine j so that r(j) = 0.
-3, 0, 2/39, 3
Factor -30*l + 2/19*l**3 + 286/19 + 282/19*l**2.
2*(l - 1)**2*(l + 143)/19
Let d = 441 - 93493/212. Let m = 2537/1484 - d. Factor -9/7 - 3/7*u**2 - m*u.
-3*(u + 1)*(u + 3)/7
Let p be 2 - ((-43)/2 + (-56 - -67)). Find y, given that -1/2*y**2 + 0 + 0*y - p*y**4 + 5*y**3 = 0.
0, 1/5
Let m(r) be the third derivative of 0 - 9/40*r**5 + 75*r**2 + 0*r + 1/240*r**6 + 2*r**4 - 23/3*r**3. Find w, given that m(w) = 0.
2, 23
Determine z so that 5/3*z**2 - 80 - 110/3*z = 0.
-2, 24
Suppose 5*x = 0, 2*v + 10 = x - 6. Let r be 0/((-4)/(-10) - v/5). Factor 0*k + r*k**2 - 5*k**2 + k + 4*k.
-5*k*(k - 1)
Let b = 18 + -8. Suppose 0 = 29*u - 176 - 56. Factor 6 - 3*d**2 + b*d - 3*d - 2*d**2 - u.
-(d - 1)*(5*d - 2)
Solve 23*l**2 + 22*l**2 + 26*l**2 - 806*l - 92*l**2 + 19*l**2 = 0.
-403, 0
Let x = -75 - -78. Find u such that 34*u**2 - x - 9*u - 73*u**2 - 3*u**3 + 30*u**2 = 0.
-1
Let b be (2/4 - (-3)/6)*0. Let y = b - -2. Factor -d**3 - 22*d**2 + 34*d**y + 5*d**3.
4*d**2*(d + 3)
Let a(t) be the second derivative of -t**6/30 + 4*t**4/3 - 955*t. Factor a(h).
-h**2*(h - 4)*(h + 4)
Suppose 1346*m - 10 = 1341*m. Let s(y) be the first derivative of 5/4*y**4 + 3 - 5/6*y**6 + 0*y**3 + 0*y + 0*y**5 + 0*y**m. Factor s(p).
-5*p**3*(p - 1)*(p + 1)
Let u(v) be the second derivative of v**4/12 - 5*v**3/6 + 4*v**2 + 11*v. Let k be u(4). Factor 11*r**3 - 4*r**k + 2*r**2 + r**3 - r**2 - 9*r**2.
-4*r**2*(r - 2)*(r - 1)
Let n = -62664643/2841774 + -3/72866. Let f = n + 304/13. Solve -4*o - 16/3*o**2 + 0 - f*o**3 = 0.
-3, -1, 0
Suppose 246*v**4 + 2054*v**2 + 8*v**5 + 718*v**4 + 2347*v**3 - 4*v**5 + 952*v + 521*v**3 + 806*v**2 = 0. Calculate v.
-238, -1, 0
Suppose 3*u - 83 - 37 = 0. What is w in 45*w + 60 + w**3 - u*w**2 + 12 - 17*w + 3*w**3 = 0?
-1, 2, 9
Let l be 4 - 5 - 480/(-630). Let c = l + 29/21. Let -4/7*a**3 + 12/7*a**2 - c*a + 0 = 0. Calculate a.
0, 1, 2
Let q(y) be the second derivative of 1/10*y**5 - 4/3*y**4 + 7/3*y**3 - 3/2*y**2 - 166*y + 1/10*y**6 + 0. Suppose q(b) = 0. Calculate b.
-3, 1/3, 1
Let y(l) = -l**3 + 16*l**2 + 17*l + 2. Let h be y(17). What is s in -15222*s**h + 31*s + 9*s + 15226*s**2 = 0?
-10, 0
Let a = 245 - 425. Let w = 280 + a. Factor w + 51*q**2 - 190*q + 2*q**4 + 63*q**2 + 11*q**3 - 26*q**3 - 11*q**3.
2*(q - 5)**2*(q - 2)*(q - 1)
Let x = -234185/3 + 78062. Factor -x*y**2 + 14/3*y + 0.
-y*(y - 14)/3
Let o = -10499 - -20999/2. Let v(p) be the first derivative of 1/5*p**5 + 25 + p + o*p**4 - 2/3*p**3 - 1/2*p**2 - 1/6*p**6. Factor v(m).
-(m - 1)**3*(m + 1)**2
Factor 470450/9 + 2/9*v**2 - 1940/9*v.
2*(v - 485)**2/9
Let i be (-3)/(-198) - ((-606)/36)/101. Factor -1800/11 - i*h**2 + 120/11*h.
-2*(h - 30)**2/11
Suppose 4*g = w - 23, 2*w - 3*g = -w + 24. Suppose -5*h + 2*d + 142 = 0, w*d + 0*d - 42 = -h. Factor -2*j**3 - 3*j**3 - h*j**2 + 4 - 60*j - 44.
-5*(j + 2)**3
Let v(r) be the second derivative of -25*r**2 - 5/12*r**4 - 3*r + 55/6*r**3 + 0. Factor v(h).
-5*(h - 10)*(h - 1)
Let u(o) = -o**2 + 488*o + 4. Let z(j) = -2*j**2 + 489*j + 6. Let t(m) = -3*u(m) + 2*z(m). What is p in t(p) = 0?
-486, 0
Let o(v) be the first derivative of v**3/3 + 8*v**2 - 161*v - 1899. Factor o(i).
(i - 7)*(i + 23)
Let t be (-2)/21 + 14 + (-950)/70. Let w(m) be the first derivative of 1/9*m**3 + 11 + t*m - 1/3*m**2. Find l such that w(l) = 0.
1
Let n(s) be the first derivative of -3/8*s**2 + 0*s + 0*s**3 - 138 + 3/16*s**4. Let n(f) = 0. Calculate f.
-1, 0, 1
Let z(c) = 13*c**4 - 21*c**3 - 453*c**2. Let i(s) = 9*s**4 - 14*s**3 - 300*s**2. Let l(w) = 7*i(w) - 5*z(w). Factor l(o).
-o**2*(o - 11)*(2*o + 15)
Suppose -30*j + 1189 = 169. Suppose -j*a = 9*a. Solve 4/11*g**2 + 6/11*g**3 + 0 + a*g = 0 for g.
-2/3, 0
Let m(i) be the first derivative of -3*i**5/25 - 51*i**4/4 - 1761*i**3/5 + 6063*i**2/10 + 11094*i/5 - 7104. Let m(b) = 0. Calculate b.
-43, -1, 2
Solve 17 - 15/4*x - 1/8*x**2 = 0.
-34, 4
Let 1273/2*u**2 + 895*u + 256 - 5/2*u**3 = 0. Calculate u.
-1, -2/5, 256
Let u(f) = 102*f + 8674. Let j be u(-85). Let q = -882/5 - -177. Determine k, given that 0 + 3/5*k**j + 9/5*k**2 + 9/5*k**3 + q*k = 0.
-1, 0
Solve 318*b + 179*b - 287*b + 387*b - 3*b**2 + 0*b**2 = 0.
0, 199
Factor -8244*k + 133*k**2 + 459926 + 121*k**2 + 1914*k - 249*k**2 + 1543519.
5*(k - 633)**2
Let z(l) be the second derivative of 3*l**6/2 + 543*l**5/2 + 169145*l**4/12 + 161090*l**3/3 + 79210*l**2 - 2567*l. Let z(b) = 0. Calculate b.
-178/3, -1
Let t(b) = 25*b**3 + 15*b**2 - 4*b - 36. Let v(f) = -54*f**3 - 31*f**2 + 8*f + 72. Let z(m) = 13*t(m) + 6*v(m). Determine s so that z(s) = 0.
-9, -2, 2
Let l(d) be the third derivative of 3/5*d**3 - 1/150*d**5 + 0*d**4 + 0*d + 1 + 44*d**2. Find i, given that l(i) = 0.
-3, 3
Let l be (24/4 - 7)*17/(-1). Suppose -40*a**2 - 2*a + 12*a + l*a**2 + 12 + 21*a**2 = 0. Calculate a.
-1, 6
Let z be 2*(14*2/(-4))/(-2). Suppose 3*h + 4*s = 29, -2*s = 5*h + z - 32. Determine y, given that 5*y + 62 - 9*y**2 - 61 + h*y = 0.
-1/9, 1
Suppose -3 = -m + 3. Factor -13*t - m*t**2 - 11*t - 5*t + 12 + 15*t.
-2*(t + 3)*(3*t - 2)
Let s be 2 - (0/(-1) + 2). Let u be ((-12)/6 + s)*-1*1. Solve b - 4 - 5*b**2 - b**3 + 2*b**u + 7*b**2 = 0.
-1, 1, 4
Let j(u) be the second derivative of 0*u**2 + 1/2*u**3 + 100 - 1/24*u**4 - 1/40*u**5 + u. Factor j(v).
-v*(v - 2)*(v + 3)/2
Suppose 0 = -19*c + 199 + 466. Let v be 336/c - (-9 + 18). Find r, given that v*r**2 + 15*r - 6/5*r**3 + 36/5 = 0.
-3, -1/2, 4
Let y be 2/(-2) - (2 - (6 + -3)). Let i = -229 + 1606/7. Factor 12/7*s**3 + 9/7*s**2 - i*s + y.
3*s*(s + 1)*(4*s - 1)/7
Let v = 354 + -356. Let g be (-8 + 13)*(-1)/2*v. Find m, given that 1/2*m**3 - 1/4*m + 0*m**4 + 0 - 1/4*m**g + 0*m**2 = 0.
-1, 0, 1
Let b(f) = 52*f - 12. Let p be b(1). Factor p*z**2 + 375 + 4*z - 375.
4*z*(10*z + 1)
Let l(x) = -x**2 - 209*x + 2. Let m(n) = 2*n**2 + 209*n - 3. Let r(h) = -3*l(h) - 2*m(h). Factor r(j).
-j*(j - 209)
Let r(i) be the third derivative of i**6/90 + 3*i**5/10 - 41*i**3/6 - 126*i**2. Let h(l) be the first derivative of r(l). Determine m, given that h(m) = 0.
-9, 0
Let t be ((-85)/34)/(5/(-8)). Let m(h) = 3*h**3 + 36*h**2 - 59*h + 13. Let w(b) = b**3 + 18*b**2 - 29*b + 6. Let r(n) = t*m(n) - 7*w(n). Factor r(p).
(p - 1)*(p + 5)*(5*p - 2)
Let w(j) be the first derivative of -j**4/4 + 1034*j**3 - 1603734*j**2 + 1105507304*j - 1250. Let w(u) = 0. What is u?
1034
Let z(r) = 13*r**3 - 31*r**2 - 31*r - 37. Let h(g) = 46*g**3 - 110*g**2 - 106*g - 130. Let s(w) = -5*h(w) + 18*z(w). What is m in s(m) = 0?
-1, 4
Suppose 24 = -16*y + 18*y. Let w be (-2 - -1) + ((-600)/(-35))/y. Factor 3/7 + w*x**4 + 3/7*x**5 - 6/7*x**3 - 6/7*x**2 + 3/7*x.
3*(x - 1)**2*(x + 1)**3/7
Let s(i) be the first derivative of 0*i**3 + 0*i - 2/21*i**6 - 2/7*i**4 + 0*i**2 + 233 - 12/35*i**5. Find k, given that s(k) = 0.
-2, -1, 0
Suppose 0 = -105*j + 97*j + 32. Factor 128*s**j - 1470*s + 375 - 125*s**4 - 66*s**3 + 504*s**2 + 654.
3*(s - 7)**3*(s - 1)
Let g be 12/(-16) - 7/(-4). Suppose g = m - 10. What is i in -3*i**4 - 12*i**2 + 21*i**3 + m*i**3 - 20*i**3 = 0?
0, 2
Solve 1/5*y**2 - 12/5*y - 189/5 = 0.
-9, 21
Let c(n) be the th