+ 296955 + 5922121 + 2838648.
2*(h + 2791)**2
Suppose 2*b + 4 = -2*r, b = -r + 3*b - 8. Let z be (-136)/(-24) + (-3 - r)*-3. What is q in 4/3*q**3 + z*q + 0 - 4*q**2 = 0?
0, 1, 2
Let n = 481 + -318. Suppose 9*j = -n + 181. Determine k, given that 2/3*k + k**3 + 0 + 1/6*k**4 + 3/2*k**j = 0.
-4, -1, 0
Let c(r) be the third derivative of r**5/20 - 9*r**4/8 - 11*r**3 + 372*r**2 - 4. Factor c(v).
3*(v - 11)*(v + 2)
Suppose -125*d = -2*o - 124*d, 4*o = -3*d. Factor 1/4*q**4 + o*q + 1/4*q**3 + 0 - 1/4*q**5 - 1/4*q**2.
-q**2*(q - 1)**2*(q + 1)/4
Let x(d) be the second derivative of -d**4/3 + 420*d**3 - 198450*d**2 - 1184*d + 2. Determine r so that x(r) = 0.
315
Let m(u) be the first derivative of 1/4*u**4 + 1/2*u**3 - 1/2*u**2 - 5/4*u - 37 - 1/20*u**5. Solve m(v) = 0 for v.
-1, 1, 5
Let o(z) be the second derivative of -z**6/360 - 23*z**5/120 + z**4 + 7*z**3 + 5*z - 3. Let j(d) be the second derivative of o(d). Solve j(v) = 0 for v.
-24, 1
Let u(v) be the second derivative of 4*v**7/7 - 22*v**6/5 - 3381*v**5/40 + 1811*v**4/8 - 689*v**3/4 + 231*v**2/4 + 185*v - 1. Suppose u(f) = 0. What is f?
-7, 1/4, 1, 11
Factor -19*k**4 + 11*k**4 - 144 + 279*k**3 + 108*k**2 - 318*k**3 + 9*k**4 + 4*k.
(k - 36)*(k - 2)**2*(k + 1)
Let t(o) = -9*o + 3. Let z be t(0). Let s = -52 + 55. Factor 27/4*v**4 + 111/4*v**2 + z + 45/2*v**s + 15*v.
3*(v + 1)**2*(3*v + 2)**2/4
Find d such that 0*d - 5/2*d**2 + 0 - 1/2*d**3 = 0.
-5, 0
Let x = 112 - 106. Let 80 - 55 - x*n**2 - 21*n + 2*n**3 + n**3 - 37 = 0. What is n?
-1, 4
Suppose 5*o - 3*l + 5 = 0, -3*o - 13 = -7*o - l. Find q, given that -2277*q**2 + 1135*q**o + 1132*q**2 - 4*q**3 + 12*q + 2*q**4 = 0.
-2, 0, 1, 3
Let j = -3251 + 3258. Let n(l) be the third derivative of 0*l**3 + 3/70*l**j - l**2 + 7/40*l**6 + 0*l + 1/8*l**4 + 0 + 1/4*l**5. Solve n(s) = 0.
-1, -1/3, 0
Let u(x) be the first derivative of 11*x**2 + 137*x + 63. Let y be u(-6). Solve -y + 15/2*h + 5*h**2 = 0 for h.
-2, 1/2
Let n be (6 - (-4 + 13)) + 23. Let m(u) = u**3 - 19*u**2 - 41*u + 420. Let v be m(n). Factor 0 + v*p + 3/5*p**2.
3*p**2/5
Let z(h) be the first derivative of -h**4/66 - 40*h**3/33 - 23*h - 268. Let f(u) be the first derivative of z(u). Let f(a) = 0. Calculate a.
-40, 0
Suppose -75*j**4 + 791*j**2 - 172*j**5 - 1600*j + 109*j**2 + 200*j**3 - 3840 + 177*j**5 = 0. Calculate j.
-2, 3, 8
Let c(s) be the third derivative of -s**7/105 + 11*s**6/60 - 11*s**5/15 - 8*s**4 + 96*s**3 + 1120*s**2. Suppose c(k) = 0. What is k?
-3, 4, 6
Factor -875*y - 120*y**2 - 167*y - 311*y + 142*y**3 - 282*y**3 + 1470 + 143*y**3.
3*(y - 49)*(y - 1)*(y + 10)
Suppose -9*d + 197 + 64 = 0. Let 43*m**2 + 46*m**2 + 90*m - 126 - 9 - 5*m**4 - d*m**2 - 10*m**3 = 0. Calculate m.
-3, 1, 3
Suppose 2*f + 7*s = 3*s + 6, 5*s = 0. Solve -221*b + 78*b - 4*b**2 - 14*b**2 - 7*b**2 - b**f + 169 = 0.
-13, 1
Let z(u) be the first derivative of u**3/6 - 337*u**2/2 + 673*u/2 + 5781. Determine s, given that z(s) = 0.
1, 673
Let 0 + 4/7*h**2 - 24/7*h = 0. What is h?
0, 6
Factor -45/2*w**2 + 115/2*w - 75/2 + 5/2*w**3.
5*(w - 5)*(w - 3)*(w - 1)/2
Let f be 3 + ((-14)/((-56)/18)*40/36)/(-2). Let -3/2*p + 1/2*p**2 + f*p**4 - 1 + 3/2*p**3 = 0. What is p?
-2, -1, 1
Let o(a) be the third derivative of a**6/72 - a**5/4 - 67*a**3/3 + 61*a**2. Let p(b) be the first derivative of o(b). Factor p(i).
5*i*(i - 6)
Let k be (6 + -10)*6/(-2). Suppose k*l - 6 = 10*l. Suppose -12*w**2 + 35*w**4 - l*w + w**3 - 23*w**4 + 2*w**3 = 0. What is w?
-1, -1/4, 0, 1
Let g(s) = -s**3 + 17*s**2 + 7*s + 23. Let k be g(17). Suppose 124*w - k*w = -72. Find a such that 0*a**3 + 1/3*a**w + 0 + 0*a**2 + 0*a = 0.
0
Let y(x) be the third derivative of -1/30*x**5 - 37*x**2 + 0*x + 0 - 1/3*x**4 - x**3. Factor y(q).
-2*(q + 1)*(q + 3)
Let y(i) be the first derivative of -3*i**5/5 + 129*i**4/4 + 4*i**3 - 258*i**2 - 2185. Find v, given that y(v) = 0.
-2, 0, 2, 43
Suppose 0 = 2*w + 2*c, -403 = 2*w - c - 418. Let h(m) be the first derivative of 4/5*m**w + 0*m**3 + 4*m**2 - 4*m - 3 - 2*m**4. Factor h(p).
4*(p - 1)**3*(p + 1)
Let q(u) = -u + 5. Let p be q(-3). Suppose 1 = -2*o + 3*h, 4*o - 1 = 7*h - 2*h. Factor -p*c**o + 3*c + 4*c**2 - 2*c**5 + 0*c**5 - c + 4*c**4.
-2*c*(c - 1)*(c + 1)**3
Let n(f) be the third derivative of -f**5/20 + 35*f**4/8 - 17*f**3 + 127*f**2 - 4. Find i such that n(i) = 0.
1, 34
Let h(k) = k**3 - 2*k**2 + 2*k - 2. Let o(n) = 2*n**4 + 58*n**3 + 590*n**2 - 292*n - 2292. Let t(y) = -10*h(y) - o(y). Factor t(w).
-2*(w - 2)*(w + 2)*(w + 17)**2
Let b(g) = 3*g + 179. Let s be b(-49). Determine a, given that a**2 + 47*a**3 + 12*a**4 + 4*a**2 - s*a**3 - 5*a**2 = 0.
-5/4, 0
Let i be ((-804)/(-67))/(1*66/46). Suppose 0 = 2*x + 10, -19 + 8 = 2*j + 3*x. What is y in 24/11*y**3 + 120/11*y + 2/11*y**4 + i*y**j + 50/11 = 0?
-5, -1
Let y(w) = w**3 + 14*w**2 + 9*w + 363. Let i be y(-15). Factor -2/13 + 2/13*q**2 + 2/13*q**i - 2/13*q.
2*(q - 1)*(q + 1)**2/13
Let k(o) be the second derivative of -o**5/10 + 17*o**4/6 + 27*o**3 + 63*o**2 + 109*o. Factor k(p).
-2*(p - 21)*(p + 1)*(p + 3)
Suppose 17*k - 254 = 52. Suppose k = -203*x + 209*x. Factor -1/2*y - 9/2*y**x - 5/2*y**2 - y**5 + 0 - 7/2*y**4.
-y*(y + 1)**3*(2*y + 1)/2
Let n(r) be the third derivative of 0 - 1/35*r**7 + 0*r**3 + r**2 - 1/112*r**8 + 51*r + 1/10*r**5 + 0*r**6 + 1/8*r**4. Factor n(j).
-3*j*(j - 1)*(j + 1)**3
Let m be 125/(-25) - (-14)/2. Factor 20/7*x**3 + 124*x - 272/7*x**m + 56.
4*(x - 7)**2*(5*x + 2)/7
Factor -13*g + 172/3 - 1/3*g**2.
-(g - 4)*(g + 43)/3
Suppose 1853 = 6*b - 1687. Let y = b - 5308/9. Factor -2/9*n**5 - 20/9*n**3 - 10/9*n**4 - y - 20/9*n**2 - 10/9*n.
-2*(n + 1)**5/9
Let o = -100101 + 100104. Determine l so that -4 + 5/2*l**2 - l - 1/2*l**o = 0.
-1, 2, 4
Let d(k) = k**3 - 18*k**2 + 15*k - 21. Let c be d(13). Let z = -2681/4 - c. Find t such that 9*t**2 + 9/4 + 15/2*t + 9/2*t**3 + z*t**4 = 0.
-3, -1
Let t(j) = -5*j**4 - 15*j**3 + 96*j**2 + 94*j. Let w(a) = 81*a**4 + 240*a**3 - 1542*a**2 - 1503*a. Let n(q) = -33*t(q) - 2*w(q). Find p such that n(p) = 0.
-8, -1, 0, 4
Let v(f) = f**3 - 18*f**2 + 36*f - 20. Let j be v(16). Suppose -20 = 8*c - j. Factor 0*d + 0 + d**4 + 1/3*d**5 + d**c + 1/3*d**2.
d**2*(d + 1)**3/3
Let v(h) be the second derivative of -3*h**5/140 - 5*h**4/28 + 4*h**3/7 + 18*h**2/7 + 4*h - 9. Factor v(k).
-3*(k - 2)*(k + 1)*(k + 6)/7
Let c(s) = -85*s**2 + 25*s - 510. Let w(d) = 23*d**2 - 6*d + 128. Let p(v) = 4*c(v) + 15*w(v). Factor p(b).
5*(b - 4)*(b + 6)
Let f(k) be the third derivative of -3*k**8/112 - k**7/14 + k**6/20 + 3*k**5/10 + k**4/8 - k**3/2 - 1030*k**2. Determine z, given that f(z) = 0.
-1, 1/3, 1
Let n(s) be the third derivative of s**8/448 - s**7/40 + 11*s**6/160 - s**5/16 + 1430*s**2. Factor n(x).
3*x**2*(x - 5)*(x - 1)**2/4
Suppose 0 - 9353*n - 5*n**3 - 15*n**2 + 0 + 10253*n = 0. What is n?
-15, 0, 12
Suppose -3*x + 13 = 1. Suppose -3*k - 4 - 2 = -s, -3*s + x*k + 13 = 0. Factor -3*m**3 + 56*m**3 - 25*m**4 + 5*m**5 + 135*m - 125*m - 8*m**s - 35*m**2.
5*m*(m - 2)*(m - 1)**3
Let h = 192 + -131. Factor 16*a + 45 + 4*a**2 + 28 - h.
4*(a + 1)*(a + 3)
Let t(d) be the third derivative of 0 + 1/1785*d**7 - 27*d - d**2 - 1/102*d**5 + 0*d**3 - 1/510*d**6 + 1/34*d**4. Solve t(l) = 0.
-2, 0, 1, 3
Let g = -112554 - -112556. Factor 1/3 - 8*b + 48*b**g.
(12*b - 1)**2/3
Let a(m) = m**2 - 7*m - 16. Let l be a(9). Suppose -3*s**4 + 8*s**4 - 5*s**2 + 460 - 455 - 5*s**l = 0. What is s?
-1, 1
Factor 0 + 165/4*j**3 - 42*j**4 + 0*j**2 + 0*j + 3/4*j**5.
3*j**3*(j - 55)*(j - 1)/4
Let n(o) be the second derivative of o**4/24 + 97*o**3/3 + 387*o**2/4 - 1478*o + 1. Determine c, given that n(c) = 0.
-387, -1
Let x be -7*9/(-12)*(-1072)/24. Let b = -935/4 - x. Suppose -1/4*w**2 - 1/2 + b*w = 0. What is w?
1, 2
Let s(v) be the first derivative of v**5/15 - v**4/3 - 2*v**3 - 19*v**2 + 17. Let k(x) be the second derivative of s(x). Factor k(h).
4*(h - 3)*(h + 1)
Let l = -785491 + 785494. Factor 3/5*q**3 + 0 - 42/5*q + l*q**2.
3*q*(q - 2)*(q + 7)/5
Let b(p) be the second derivative of 1/40*p**6 + 15*p**4 - 112*p**3 - 39/40*p**5 + 62*p + 384*p**2 + 2. Factor b(n).
3*(n - 8)**3*(n - 2)/4
Suppose -53 + 23 = 5*i. Let q be (-106)/i + 7 + (-11 - -1). Find d such that -8/3 - 12*d**2 + q*d = 0.
2/9, 1
Factor 7533/7*j**3 + 2491752/7 + 2253180/7*j - 32994*j**2 - 81/7*j**4.
-3*(j