2 - 1/4*m**3.
-(m - 42)**2*(m - 2)/4
Let -5*h**2 + 262*h - 389*h + 357*h - 2645 = 0. What is h?
23
Let v = -1675235/6 - -279206. Factor -7/6 + 7/6*q**2 + v*q - 1/6*q**3.
-(q - 7)*(q - 1)*(q + 1)/6
Let s = 1955 + -1954. Let y be 3*s/(-7) + (-3150)/(-3920). Solve -21/4*x + 15/8 + 9/2*x**2 - y*x**4 - 3/4*x**3 = 0.
-5, 1
Let a(n) = -n**3 - 5*n + 17. Let x be a(2). Let o be (x/(-3))/((-37)/(-444)). Suppose 4/9*w**2 - 2/9 + 2/9*w - 2/9*w**o - 4/9*w**3 + 2/9*w**5 = 0. Calculate w.
-1, 1
Let p(m) be the second derivative of -m**6/15 - 13*m**5/5 - 617*m. Factor p(r).
-2*r**3*(r + 26)
Factor 3/7*z**4 + 0 - 15/7*z**2 - 9/7*z - 3/7*z**3.
3*z*(z - 3)*(z + 1)**2/7
Let u(d) be the second derivative of -49*d**5/120 + 1939*d**4/72 - 2235*d**3/4 + 6075*d**2/4 - 10212*d. Let u(x) = 0. What is x?
1, 135/7
Let k(u) = -u**3 + 13*u**2 - 13*u - 93. Let y be k(11). Suppose 0 = -2*v + y*v + 16, 2*p + 3*v = -6. Find t such that 1/3*t**p + 0*t + 1/3*t**2 + 0 = 0.
-1, 0
Let u(t) be the third derivative of 5/12*t**5 - 5/42*t**7 + 0*t**4 + 4*t**2 + 0*t + 0 + t**6 + 0*t**3. Suppose u(x) = 0. Calculate x.
-1/5, 0, 5
Let j(q) = q**2 - 48*q - 3145. Let r be j(-37). Factor -441/4*f - 1/4*f**3 - 21/2*f**2 + r.
-f*(f + 21)**2/4
Suppose -35*d + 39 + 101 = 0. Suppose 4*v = -2*k + 18, -v - k = d*v - 21. Let 8/3 + 194/3*x**3 + 56/3*x + 122/3*x**v + 50*x**2 + 10*x**5 = 0. Calculate x.
-1, -2/3, -2/5
Let i(m) = -13*m**3 - 105*m**2 - 110*m + 216. Let c(d) = 3*d**3 - d**2 + d. Let l(j) = -4*c(j) - i(j). What is v in l(v) = 0?
-108, -2, 1
Suppose -2*t + 5*t = -t. Let x(z) be the first derivative of -4*z**2 + 6 - 4/5*z**5 + t*z + 4/3*z**3 + 2*z**4. Factor x(h).
-4*h*(h - 2)*(h - 1)*(h + 1)
Let i(k) be the first derivative of -k**4/8 - 140*k**3 - 58800*k**2 - 10976000*k + 1358. Factor i(n).
-(n + 280)**3/2
Solve 36/7 + 5/7*x**2 - 1/7*x**4 - 4/7*x**3 + 36/7*x = 0 for x.
-3, -2, 3
Let g(x) = -x**2 + 649*x + 20. Let b be g(0). Factor 224*r**4 - 2688/5*r**2 - 576/5*r + 0 - b*r**5 - 2656/5*r**3.
-4*r*(r - 6)**2*(5*r + 2)**2/5
Let s(n) be the first derivative of -5*n**4/4 - 370*n**3/3 - 6845*n**2/2 + 829. Factor s(r).
-5*r*(r + 37)**2
Suppose -24/11*a**2 - 46/11*a**3 + 2/11*a**5 + 0 + 0*a - 20/11*a**4 = 0. What is a?
-1, 0, 12
Let s(x) be the second derivative of x**6/105 - 9*x**5/70 + x**4/7 + 16*x**3/21 - 865*x. Let s(b) = 0. What is b?
-1, 0, 2, 8
Let y(w) be the first derivative of 4/5*w**5 + 246 - 2/3*w**4 + 256/3*w + 1/9*w**6 - 112/9*w**3 + 0*w**2. Solve y(r) = 0 for r.
-4, -2, 2
Let c = 89265 + -89261. Factor c*t - 22/5 + 2/5*t**2.
2*(t - 1)*(t + 11)/5
Let q = -5935 + 23755/4. Factor 9/2*k - 9/2*k**3 - q + 3*k**2 + 3/4*k**4.
3*(k - 5)*(k - 1)**2*(k + 1)/4
Factor -138*u + 3/4*u**2 + 549/4.
3*(u - 183)*(u - 1)/4
Suppose 3*r - r + 12 = -4*g, -r + 4*g + 24 = 0. Suppose -5 - 16*s**2 + 17*s**2 - r*s - 2 - 5 = 0. What is s?
-2, 6
Let d be (-4)/14 + 16/7. Let 30*m**4 - 33*m**2 + 93*m**d - 65*m**3 - 29043*m**5 + 29038*m**5 - 20*m = 0. What is m?
0, 1, 2
Solve 0 - 168/5*r - 4*r**2 = 0.
-42/5, 0
Let w(t) be the first derivative of 13*t**3 - 9/2*t**4 - 92 - 18*t**2 + 12*t + 3/5*t**5. Suppose w(i) = 0. What is i?
1, 2
Let y = 468667 - 2351137/5. Let s = -1558 - y. Let 4/5*j**3 - s*j**2 + 0*j + 0 = 0. Calculate j.
0, 3
Let x(d) be the second derivative of -1/14*d**4 - 1/70*d**6 + 0*d**2 + 0 + 93*d + 9/140*d**5 + 0*d**3. Suppose x(v) = 0. What is v?
0, 1, 2
Let c = -1036/125 - -1311/125. What is m in -c*m**3 - 7/5 - 1/10*m**5 + m**4 + 2/5*m**2 + 23/10*m = 0?
-1, 1, 2, 7
Let -57*n**5 + 44094*n**2 + 172*n**5 + 41017*n + 2246*n - 57*n**5 + 423*n**4 - 55*n**5 + 14283 + 15534*n**3 = 0. What is n?
-69, -1
Let w(h) be the first derivative of -h**4/10 + 318*h**3 - 379215*h**2 + 200983950*h - 2178. Factor w(d).
-2*(d - 795)**3/5
Let h(z) be the third derivative of -3*z**3 + 3/80*z**5 + 0 + 4*z - 5*z**2 - 71/32*z**4. Factor h(b).
3*(b - 24)*(3*b + 1)/4
Determine u so that 110*u**3 - 3*u**4 + 104*u - 308*u**2 - 16477 - 3*u**4 + 16717 = 0.
-2/3, 2, 15
Let t(o) be the second derivative of -o**5/20 + 51*o**4/20 - 47*o**3/6 + 87*o**2/10 - 1384*o. What is m in t(m) = 0?
3/5, 1, 29
Let w = -1710/49 - -5228/147. Let w*x**2 - 4/3*x + 2/3 = 0. Calculate x.
1
Let 1/6*b**2 + 0 + 677/2*b = 0. What is b?
-2031, 0
Let m(f) = -f**3 - 14*f**2 + 12*f + 23. Let k be m(-19). Let r = k + -23984/15. Factor 0 - 2/15*x**4 + 0*x + r*x**3 - 32/15*x**2.
-2*x**2*(x - 4)**2/15
Let p(l) be the second derivative of l**6/24 - l**5/2 + 5*l**4/2 - 20*l**3/3 + 97*l**2 - 126*l. Let i(z) be the first derivative of p(z). Factor i(g).
5*(g - 2)**3
Solve 1/10*x**2 - 167/10*x - 84/5 = 0 for x.
-1, 168
Let c(a) be the second derivative of a**5/35 + 1387*a**4/42 + 33*a**3 - 10*a - 46. Factor c(x).
2*x*(x + 693)*(2*x + 1)/7
Let a(z) = z**4 + z**3 - z**2 + 1. Let j(d) = -16*d**3 + 1 + 78*d**2 - 66*d**2 + 4*d - 5*d + 10*d**4. Let n(o) = 3*a(o) - j(o). Factor n(i).
-(i - 1)**3*(7*i + 2)
Suppose -51*j + 90 = -42*j. Let m be -3*j*(-11)/132. Factor 2 + m*n + 1/2*n**2.
(n + 1)*(n + 4)/2
Let p(f) be the second derivative of -f**5/210 - 3697*f**4/42 - 13667809*f**3/21 - 50529889873*f**2/21 + 4022*f. Factor p(w).
-2*(w + 3697)**3/21
Let z(c) be the second derivative of 7*c**5/30 - 53*c**4/6 - 214*c**3/9 - 16*c**2 + 1642*c. Let z(y) = 0. What is y?
-1, -2/7, 24
Let v be 377/1326 - (-6)/(-51). Let h(t) be the third derivative of -1/30*t**5 + v*t**4 + 0 + 0*t + 6*t**2 - 1/3*t**3. Factor h(u).
-2*(u - 1)**2
Let -71*l**2 - 115*l + 8 + 17*l**3 - 24*l - 31 - 46 - 18*l**3 = 0. What is l?
-69, -1
Factor -4 - 103/3*v - 11*v**2.
-(v + 3)*(33*v + 4)/3
Suppose -5*m - 571 = -2*g, g = -5*m + 321 - 28. Let u be (-1)/2 + 208/g. Factor -u*i + 1/9*i**4 + 0*i**2 + 2/9*i**3 - 1/9.
(i - 1)*(i + 1)**3/9
Let t = 394 + -392. Suppose 5*s - 4 = t*z, 20*s - 24*s = -3*z + 1. Factor 2 - 5/3*q + 1/3*q**s.
(q - 3)*(q - 2)/3
Let d = 66269 + -66245. Factor 1/2*o**2 + 288 - d*o.
(o - 24)**2/2
Let r(g) = -15 + 5174*g**2 - 5*g + 5162*g**2 - 10328*g**2. Suppose -m + 28 = m. Let y(p) = p**2 - p - 1. Let a(c) = m*y(c) - 2*r(c). Factor a(z).
-2*(z - 2)*(z + 4)
Factor 2/11*w**2 - 2754/11 + 288/11*w.
2*(w - 9)*(w + 153)/11
Let l(o) be the third derivative of 0 - 3/2*o**3 + 3/20*o**5 - 44*o**2 + 0*o - 1/40*o**6 + 1/8*o**4. Suppose l(q) = 0. Calculate q.
-1, 1, 3
Factor 64/7 - 6539203/7*a**3 + 419628/7*a**2 - 8976/7*a.
-(187*a - 4)**3/7
Suppose -n = n - 4. Let d = -3139850/9 + 348873. Factor -1/9*t**n - d*t - 2/3.
-(t + 1)*(t + 6)/9
Determine d so that 374*d - 413 + 2*d**2 + 985 + 791 + 792 + 17 = 0.
-181, -6
Suppose 12608*z - 12604*z + 20 = 4*k, -k + 4*z - 16 = 0. Solve 51/4*n**2 + 3*n + 9/4*n**4 + k*n**3 + 0 = 0.
-4, -1, -1/3, 0
Let x = -2/58611 + 3722/19537. What is h in -x*h + 2/7*h**2 - 2/21 = 0?
-1/3, 1
Suppose 3*z = 2*y, -9*z = -4*z - 5*y + 5. Factor -6*a**2 - 15*a - 9*a**z + 12*a**2.
-3*a*(a + 5)
Let v(j) be the first derivative of 11/450*j**6 - 36 - 32/3*j**3 + 3/50*j**5 + 0*j**2 + 0*j - 1/15*j**4. Let t(c) be the third derivative of v(c). Factor t(a).
4*(a + 1)*(11*a - 2)/5
Let g = -1438/69 + 556/23. Factor 8/3 - 16/3*t - 2/3*t**3 + g*t**2.
-2*(t - 2)**2*(t - 1)/3
Let h(n) = -n**2 + 4*n + 7. Let x be h(-1). Let d be x - -7 - -9 - (1 + 2). Factor 192/5*m - d*m**4 - 48/5 - 72/5*m**2 - 48*m**3.
-3*(m + 2)**2*(5*m - 2)**2/5
Let p(u) = 3*u**2 + 84*u - 366. Let b be p(4). Let o(x) be the third derivative of 0 - b*x**2 + 11/450*x**5 + 0*x + 0*x**3 + 1/90*x**4. Factor o(w).
2*w*(11*w + 2)/15
Factor -116/3*q + 240 + 4/3*q**2.
4*(q - 20)*(q - 9)/3
Let b(k) = 13*k**2 + 1008*k + 276680. Let c(r) = 36*r**2 + 3035*r + 830039. Let a(l) = 11*b(l) - 4*c(l). Let a(w) = 0. What is w?
-526
Let u(q) be the third derivative of q**6/900 + 643*q**5/450 - 646*q**4/45 + 2588*q**3/45 + 185*q**2 + 2*q. Factor u(x).
2*(x - 2)**2*(x + 647)/15
Let l(k) be the first derivative of 12*k**4 - 2 + 48*k**3 + 64*k**2 + 0*k + 4/5*k**5. Factor l(v).
4*v*(v + 2)**2*(v + 8)
Suppose 28*a - 37*a = 41*a - 200. Let q = 487/92 + -70/23. Find t such that -3/4*t**5 + 0 + 3/2*t + q*t**2 - 3/4*t**3 - 9/4*t**a = 0.
-2, -1, 0, 1
Let l(o) = 23*o**2 - 166*o - 157. Let a(v) = -20*v**2 + 167*v + 159. Let q(m) = 8*a(m) + 7*l(m). Solve q(d) = 0.
-173, -1
Suppose 1665 + 284*c**2 - 3*c**3 + 11*c**3 + 1371*c**2 - 3325*c - 3*c**3 = 0. What is c?
-333, 1
Let t