5*m + 3/5*m**2.
3*(m - 2)*(m + 109)/5
Let t(c) = -c**3 + c**2 + 3*c - 2. Let x be t(1). Factor -67*m - 1 + x + 5*m**2 + 42*m.
5*m*(m - 5)
Let m(d) = 27*d - 77. Let u be m(3). Let 9*i**3 - 46 - 4*i**u - i**3 + 50 - i - 7*i = 0. Calculate i.
-1, 1
Let m(u) be the second derivative of 2*u**7/21 - 8*u**6/15 - u**5/5 + 16*u**4/3 - 8*u**3 - u + 1310. Find q such that m(q) = 0.
-2, 0, 1, 2, 3
Let m(v) = 246*v + 62 - 213*v - 20 + 141 + 17. Let s be m(-6). Determine k, given that 3/7*k**3 + 0*k**s + 0*k + 0 = 0.
0
Let n be 7 - 1815/(-308)*5/((-150)/35). Factor n*v**2 - 77/4*v + 5929/8.
(v - 77)**2/8
Let z(v) = v**3 + 6*v**2 + 3*v - 8. Let l be z(-4). Suppose 5*h + 12 = -x, 2*x = h + h + l. Factor w**x + w**3 - 16 + 16*w**2 - 4*w**2 + 2*w**3.
4*(w - 1)*(w + 2)**2
Let m(c) be the first derivative of c**7/42 + c**6/5 - c**5/20 - c**4/2 + 60*c + 73. Let g(f) be the first derivative of m(f). What is d in g(d) = 0?
-6, -1, 0, 1
Let n(u) = -u - 3. Let w be n(-7). Determine m so that -1648*m**3 + 25*m + 19 - w + 5*m**2 + 1643*m**3 = 0.
-1, 3
What is q in -1138/13*q**2 - 168/13 + 10/13*q**4 - 238/13*q**3 - 1058/13*q = 0?
-3, -1, -1/5, 28
Suppose 8*a + 10*a = -14*a + 96. Let q(v) be the second derivative of 3*v - 1/5*v**2 - 1/30*v**4 + 0 - 2/15*v**a. Factor q(r).
-2*(r + 1)**2/5
Let m(t) be the third derivative of t**7/315 - t**6/5 + 17*t**5/15 - 25*t**4/9 + 11*t**3/3 - 2*t**2 - 49. Let m(q) = 0. Calculate q.
1, 33
Let s be (-10)/(-4) + 3/6. Let d be ((-360)/70 - 1*-4)*(-288)/12. Determine k, given that -144/7*k - 3/7*k**s - 36/7*k**2 - d = 0.
-4
Let l(d) be the second derivative of d**4/36 + 7*d**3/9 - 5*d**2/2 + 2393*d. Factor l(u).
(u - 1)*(u + 15)/3
Let n(l) be the third derivative of -l**5/510 + 61*l**4/204 - 196*l**3/17 + 2*l**2 - 9*l + 153. Factor n(x).
-2*(x - 49)*(x - 12)/17
Let v be -10 + 864/33 + (22 - (-16 + 54)). Solve v*g**2 + 0 - 4/11*g = 0 for g.
0, 2
Let g(x) = x**2 - 8*x - 18. Let d be g(-2). Solve 42868*z**2 + 15 - 42863*z**d + 15*z + 5*z = 0 for z.
-3, -1
Let h(c) be the second derivative of c**5/100 + 13*c**4/30 - 304*c**3/15 + 1344*c**2/5 - 5676*c. Determine m so that h(m) = 0.
-42, 8
Let z(n) be the first derivative of 5*n**4/12 - 20*n**3/3 + 35*n**2/2 + 99*n - 53. Let r(g) be the first derivative of z(g). Factor r(b).
5*(b - 7)*(b - 1)
Let l(t) be the second derivative of t**6/120 - 17*t**5/80 + 27*t**4/16 - 115*t**3/24 + 25*t**2/4 + t + 214. Solve l(b) = 0 for b.
1, 5, 10
Let z(d) = 35*d**3 - 15*d**2 - 174*d - 64. Let t(f) = -4*f**3 - f**2 + f + 2. Let v(s) = 6*t(s) + 3*z(s). Find o, given that v(o) = 0.
-2, -10/27, 3
Let m(d) = 4*d**3 - 2*d. Let o(j) = -108*j**3 + 2364*j**2 + 56*j. Let l(g) = 28*m(g) + o(g). Factor l(b).
4*b**2*(b + 591)
Factor 11*f - 73 - 8 + 138 - 3*f**2 + 43*f.
-3*(f - 19)*(f + 1)
Let v(l) = -7*l - 155. Let o be v(-25). Factor -17*x**2 + x**2 - 135*x + 263*x - 162*x - o - 2*x**3.
-2*(x + 1)*(x + 2)*(x + 5)
Let l(u) = u**3 + 5*u - 3*u**2 + 0*u - 3*u - 4. Let f be l(3). Factor 0*q**4 + 4*q**4 - 4*q**f - 10*q + 3*q + 3*q + 4*q**3.
4*q*(q - 1)*(q + 1)**2
Let m(l) be the second derivative of l**5/120 + l**4/8 - 7*l**3/12 + 11*l**2/12 - 57*l + 3. Factor m(y).
(y - 1)**2*(y + 11)/6
Let i be 7/((-7)/2) + 4. Suppose -4*c + 4*j = -j - 525, i*c - 255 = j. Factor -c*q**2 - 5*q**4 + 15*q + 85*q**2 + 65*q - 35*q**3.
-5*q*(q - 1)*(q + 4)**2
Factor -837/7*n - 3/7*n**2 + 120.
-3*(n - 1)*(n + 280)/7
Let v be (-34)/2 - ((-216505)/129)/95. Factor -2*g - 4/3 - v*g**2.
-2*(g + 1)*(g + 2)/3
Let n(d) be the second derivative of -d**7/280 + d**6/60 + d**3/3 + 6*d**2 - 64*d. Let v(u) be the second derivative of n(u). Find k such that v(k) = 0.
0, 2
Let v(i) be the third derivative of 0*i**3 - 1/420*i**8 + 2/175*i**7 + 0*i**4 - 10*i + 0*i**6 + 2*i**2 - 4/75*i**5 + 0. Factor v(t).
-4*t**2*(t - 2)**2*(t + 1)/5
Let q = 1009 - 1004. Let g(a) be the third derivative of 1/20*a**q + 0 - 16*a**2 + 0*a**3 + 0*a - 3/8*a**4. Factor g(t).
3*t*(t - 3)
Let b(l) be the second derivative of -1/36*l**4 + 5*l - 4/9*l**3 - 8/3*l**2 + 0. Factor b(q).
-(q + 4)**2/3
Let g(v) be the second derivative of 1/120*v**6 + 7/2*v**3 + 14*v + 0 + 0*v**2 + 2/15*v**5 + 5/24*v**4. Let x(c) be the second derivative of g(c). Factor x(m).
(m + 5)*(3*m + 1)
Let b(c) = 17*c - 301. Let g be b(20). Suppose -g*n = -37*n. Solve 0*k**2 - 2/5*k**5 + 2/5*k**3 + n*k + 0*k**4 + 0 = 0.
-1, 0, 1
Let k(d) be the first derivative of 25/2*d**4 + 0*d + 112*d**3 + 6 + 2/5*d**5 + 144*d**2. Find j such that k(j) = 0.
-12, -1, 0
Factor -384/5*j**2 - 524288/5 - 2/5*j**3 - 24576/5*j.
-2*(j + 64)**3/5
Determine w so that -6/7 - 598/7*w + 5000/7*w**3 - 14800/7*w**2 = 0.
-1/50, 3
Suppose -231 - 384*x**2 + 1087*x**5 - 2181*x**5 + 4221*x - 1314*x**3 + 126*x**4 - 2415 + 1091*x**5 = 0. Calculate x.
-2, 1, 21
Let c(j) = 2*j**3 - 5*j**2 + 7*j - 11. Let u be c(2). Let l be (74/(-14) + (-16)/(-56))*u. Solve -4/7*i + 30/7*i**4 + 0 + 8*i**l - 52/7*i**3 - 30/7*i**2 = 0.
-1, -2/7, -1/4, 0, 1
Suppose 2 = 4*z + 2*p, -2*p = z - 2157 + 2164. Factor 2/3*k**2 - 4/3*k**z - 4/3*k**4 - 1/3*k**5 + 2/3 + 5/3*k.
-(k - 1)*(k + 1)**3*(k + 2)/3
Suppose 0 = 44*n - 42*n + 2. Let c be (37 - 37)/(n + 3). Determine i, given that -4/5*i + 4/5*i**3 - 2/5*i**2 + c + 2/5*i**4 = 0.
-2, -1, 0, 1
What is c in -565*c + 475*c + 4*c**2 + 5*c**2 - 4*c**2 + 22 + 3*c**2 = 0?
1/4, 11
Let d = -39624 + 39624. Let g(m) be the third derivative of -1/10*m**4 - 4/15*m**3 + 1/150*m**6 + 0*m + 0*m**5 + 21*m**2 + d. Factor g(o).
4*(o - 2)*(o + 1)**2/5
Let y = -4265/999 + 478/111. Let z(q) be the second derivative of y*q**4 - 40/27*q**3 - 2 + 200/9*q**2 + 24*q. Factor z(p).
4*(p - 10)**2/9
Let h(n) = 39*n**4 - 341*n**3 + 7746*n**2 - 6715*n - 14799. Let g(l) = 44*l**4 - 340*l**3 + 7748*l**2 - 6716*l - 14800. Let c(q) = 7*g(q) - 8*h(q). Factor c(z).
-4*(z - 43)**2*(z - 2)*(z + 1)
Let l be -3 - -1 - (-1 + 1 + -3). Let y be 2 - -18 - (l + -5 + 4). Factor -2 - y*x + 5*x**2 - 6 - 17.
5*(x - 5)*(x + 1)
Let u(o) be the second derivative of -o**6/70 + 9*o**5/20 - 9*o**4/4 - 85*o**3/14 + 3073*o + 2. Suppose u(n) = 0. What is n?
-1, 0, 5, 17
Let a(i) be the second derivative of i**7/14 - 187*i**6/90 - 38*i**5/5 - 23*i**4/9 + i - 41. Find j, given that a(j) = 0.
-2, -2/9, 0, 23
Let d(c) be the first derivative of c**6/24 + 2*c**5 + 40*c**4 + 1280*c**3/3 + 15*c**2/2 + 77. Let m(j) be the second derivative of d(j). Factor m(p).
5*(p + 8)**3
Let m = -1289 - -34807/27. Let n(b) be the first derivative of -6 + 8/9*b + m*b**3 + 2/3*b**2. Let n(q) = 0. What is q?
-2, -1
Solve -1796*c + 1/3*c**2 + 2419212 = 0 for c.
2694
Let i(t) = 6*t**2 - 4*t + 1. Let j be i(2). Solve -66*b**3 + j*b**2 + 59*b**3 - 185*b**2 - 140*b**3 - 36*b + 21*b**5 + 6*b**4 = 0.
-2, -1, -2/7, 0, 3
Let v = -736190 + 2944761/4. Factor v*r + 23/4*r**3 + 25/4*r**2 + 5/4*r**4 - 3/2.
(r + 1)**2*(r + 3)*(5*r - 2)/4
Let i = 212 - 210. Find o such that -o**3 - o**i + 4554 - 4554 = 0.
-1, 0
Suppose 0 = -6*t - 447 + 2697. Let x = -367 + t. Factor -x + 4*k - 1/2*k**2.
-(k - 4)**2/2
Suppose 109*x - 58*x = 102. Let c be (-22)/(-12) - 8/(-64)*-8. Determine h, given that -10/3*h + c*h**x + 5/2 = 0.
1, 3
Let z(l) be the third derivative of -2*l**7/315 + l**5/15 - l**4/9 - 19*l**2 - 80. Solve z(c) = 0.
-2, 0, 1
Let f be 7 + -1 + 980/(-70). Let p be (-400)/(-1716) + f/156. Solve 2/11*r**2 + 0*r + 0 - p*r**4 + 0*r**3 = 0 for r.
-1, 0, 1
Suppose 42*c - 38*c - 21 = 3*x, x = 2*c - 7. Let i(v) be the first derivative of -26 - 2/51*v**3 + c*v + 3/17*v**2. Factor i(u).
-2*u*(u - 3)/17
What is s in 36048*s**2 - 40663*s**2 + 7185*s**3 - 41147*s**2 - 6408 + 33180*s - 75*s**4 = 0?
2/5, 6, 89
Let r(w) = -7*w**4 + 16*w**3 + 7*w**2 - 13*w - 3. Let l = 54 - 51. Let y(k) = -8*k**4 + 16*k**3 + 8*k**2 - 12*k - 4. Let s(q) = l*y(q) - 4*r(q). Factor s(d).
4*d*(d - 4)*(d - 1)*(d + 1)
Suppose -798*s = 1970*s - 698*s - 4140. Determine k so that -48 - 404/3*k**4 + 368*k + 1348/3*k**3 - 1948/3*k**s + 44/3*k**5 = 0.
2/11, 1, 2, 3
Let l = -8162 - -8164. Let q(c) be the third derivative of 0*c**3 + 25*c**l + 0*c + 0*c**6 - 1/36*c**4 + 1/630*c**7 + 0 - 1/60*c**5. Factor q(j).
j*(j - 2)*(j + 1)**2/3
Let z(k) = 3*k**2 + 35*k - 10. Let d be z(-12). Suppose -4*p - 6*f + 10*f = -24, 5*p + 5*f = 50. What is l in -4/5*l + 0 + p*l**4 + 2/5*l**d + 46/5*l**3 = 0