-2*r*(r + 2)/5
Let w be (-1)/(3*(-3)/45). Suppose -2*r - 13 = f + r, 0 = w*f - r - 15. Find v such that -2*v**2 - 369*v - f*v**2 + 373*v = 0.
0, 1
Let g be 5700/(-16280) + 24/66. Let p = 303/518 - g. Suppose -10/7*k**3 + 0*k + p*k**2 - 2/7*k**5 + 0 + 8/7*k**4 = 0. Calculate k.
0, 1, 2
Let r(u) = -14*u**2 + 138*u + 264. Let n(l) = -5*l**2 + 46*l + 88. Let b(z) = -17*n(z) + 6*r(z). Factor b(k).
(k + 2)*(k + 44)
Let x(q) be the second derivative of 22/13*q**2 + 0 - 1/130*q**5 - 2/13*q**4 - 191*q - 3/13*q**3. Solve x(v) = 0.
-11, -2, 1
Suppose 17*x = 23*x - 24. Factor -32*m**3 + 20*m**3 - 12*m**2 - 2*m**x - m**4.
-3*m**2*(m + 2)**2
Let t(n) be the second derivative of 27*n**2 + 3 + 11/5*n**5 + 1/63*n**7 + 21*n**3 + 26*n + 13/45*n**6 + 9*n**4. Factor t(x).
2*(x + 1)*(x + 3)**4/3
Let b(g) be the second derivative of -110*g + 0 + 7/6*g**4 + 4*g**2 - 10/3*g**3 - 3/20*g**5. Factor b(i).
-(i - 2)**2*(3*i - 2)
Let w(p) be the first derivative of p**6/900 - 31*p**5/600 + p**4/8 - p**3 + 2*p - 55. Let l(m) be the third derivative of w(m). Factor l(h).
(h - 15)*(2*h - 1)/5
Let d(z) = 7*z**2 - 93*z + 943. Let k(n) = -n**2 + n + 5. Suppose 8*r + 5 = 9*r. Let t(a) = r*k(a) + d(a). Find h such that t(h) = 0.
22
Factor 48 + 172 + 33*b**2 - 35*b**2 - 34*b.
-2*(b - 5)*(b + 22)
Let v(m) = m**2 + 7*m + 9. Suppose -5*g + 2*l = 20, 0 = -5*g + 3*l + 2*l - 5. Let a be v(g). Factor 9/8*b**2 + 27/8 + 27/8*b + 1/8*b**a.
(b + 3)**3/8
Factor 675*z**3 + 135*z**2 - 8860*z**5 - 518*z**4 + 1643*z**4 + 9485*z**5.
5*z**2*(5*z + 3)**3
Solve 548/7*l**3 - 1116/7*l**2 + 0 + 4/7*l**5 - 12*l**4 + 648/7*l = 0 for l.
0, 1, 2, 9
Let l be 3/(15/(-20)) + 9. Suppose l*z - 25 = -0*z. Let -z*v**3 + 0*v**4 + 2*v - 6*v**2 - 2*v**4 + 11*v**3 = 0. Calculate v.
0, 1
Suppose 946*b = -937*b + 1358*b + 1575. Determine f so that 22/5*f**b + 0 + 14/5*f**4 + 0*f + 8/5*f**2 = 0.
-1, -4/7, 0
Let s = -311 - -294. Let c(f) = 29*f**3 - 202*f**2 + 17*f - 17. Let q(i) = 10*i**3 - 68*i**2 + 6*i - 6. Let k(j) = s*q(j) + 6*c(j). Solve k(g) = 0 for g.
0, 14
Let -28812/5*m + 57036/5*m**2 + 0 - 582/5*m**4 - 3/5*m**5 - 27639/5*m**3 = 0. Calculate m.
-98, 0, 1
Let y(c) be the first derivative of -c**3/3 + 947*c**2/6 + 316*c/3 - 2099. Solve y(q) = 0 for q.
-1/3, 316
Suppose -4*v + 3*v = -1, 0 = 3*y - v - 26. Factor -33*h**2 + 0*h**4 - 588*h + h**4 - y*h**3 - 12 + 553*h.
(h - 12)*(h + 1)**3
Let c = -255931/5 - -51187. Factor 4*i - 16/5 - c*i**2.
-4*(i - 4)*(i - 1)/5
Let v(x) be the second derivative of -x**6/20 + 93*x**5/20 + 615*x**4/8 + 421*x**3 + 1065*x**2 + 6368*x. Let v(n) = 0. What is n?
-5, -2, 71
Let l(o) = -32*o + 258. Let k be l(8). Determine w so that -15*w**2 + 51*w**k - 15*w**2 - 23*w**2 + 24 + 8*w = 0.
-2, 6
Let l(a) = -8*a - 40. Let q be l(-9). Let b = q - 28. Solve -t + 0*t - 4*t**3 - b*t**2 + 0*t + 9*t = 0.
-2, 0, 1
Let y(j) be the second derivative of 5*j**4/12 + 55*j**3/3 + 180*j**2 + 1371*j - 1. Factor y(n).
5*(n + 4)*(n + 18)
Let b(k) be the second derivative of k**4/48 + 17*k**3/48 + 13*k**2/8 + 17*k - 68. Factor b(h).
(h + 2)*(2*h + 13)/8
Let m(d) be the third derivative of -7/12*d**4 - 1/210*d**7 + 0*d**3 + 0*d - 200*d**2 + 9/20*d**5 - 1/10*d**6 + 0. Find t such that m(t) = 0.
-14, 0, 1
Let g be 6/(-21) + 100/7. Let 7*i**5 - 10*i**4 + 180*i - 38*i**5 + 22*i**5 - 55*i**3 + 60*i**2 + g*i**5 = 0. Calculate i.
-2, 0, 3
Let y be ((-948)/1264)/(10/(-128)) - 6. Factor -12/5*o + 2/5*o**2 + y.
2*(o - 3)**2/5
Let y(a) be the first derivative of -1/45*a**6 + 8/45*a**3 + 0*a - 2/75*a**5 + 0*a**2 + 48 + 2/15*a**4. Determine x, given that y(x) = 0.
-2, -1, 0, 2
Let p(r) be the first derivative of r**6/12 + 23*r**5/10 - 83*r**4/8 - 127*r**3/6 + 41*r**2/2 + 52*r + 1488. What is z in p(z) = 0?
-26, -1, 1, 4
Let a = -225993 - -225995. Suppose -6*l + 2/7*l**3 + 76/7 - 36/7*l**a = 0. What is l?
-2, 1, 19
Let m(r) be the second derivative of 0 + 1/195*r**6 - 72/13*r**3 - 50*r + 18/13*r**4 - 9/65*r**5 + 0*r**2. Factor m(d).
2*d*(d - 6)**3/13
Let p = 250 - 253. Let y(v) = -v**2 + 18*v - 20. Let b(a) = -a**2 + 18*a - 19. Let w(x) = p*b(x) + 2*y(x). Factor w(r).
(r - 17)*(r - 1)
Suppose -148*b + 145*b - 3 = 0. Let k be (-1008)/(-1144) - b/((-26)/4). Factor -k*w - 8/11 - 2/11*w**2.
-2*(w + 2)**2/11
What is b in -5799*b**2 + 11600*b**2 - 243*b - 49*b - 180 - 5797*b**2 - 116 = 0?
-1, 74
Let h = 354 + -1040/3. Let x be 81/135 + (-251)/(-15). Factor h*s + 28/3*s**4 + 16*s**2 + 4/3 + x*s**3 + 2*s**5.
2*(s + 1)**4*(3*s + 2)/3
Let q(r) be the first derivative of -r**3/8 - 21*r**2/16 + 153*r + 7856. What is s in q(s) = 0?
-24, 17
Factor 386 - 56*i**2 - 266 - 919 + 748*i - 4*i**3 - 1041.
-4*(i - 5)*(i - 4)*(i + 23)
Let h = -2/304223 - -304227/608446. Let 18 + h*z**3 + 13/2*z**2 + 24*z = 0. Calculate z.
-6, -1
Let s be (2 + -5)*(-1 + (-16)/24). Suppose 3*b + 61*t - 7 = 62*t, -s*t + 5 = 5*b. What is n in 0*n + 0 + 15*n**b - 5/2*n**4 + 5/2*n**3 = 0?
-2, 0, 3
What is d in -323 + 2*d**2 - 94 + 492*d - 50 - 27 = 0?
-247, 1
Factor -1/4*n**3 - 313/4*n + 39 + 79/2*n**2.
-(n - 156)*(n - 1)**2/4
Let c(k) be the second derivative of 2*k + 24 - 25/3*k**3 + 55/2*k**2 - 5/12*k**4. Find v, given that c(v) = 0.
-11, 1
Let i be (87/135)/1 - (-10 - 188/(-18)). Let k(z) be the second derivative of -5/8*z**4 - 3/5*z**5 - i*z**6 - 18*z - 1/4*z**3 + 0 + 0*z**2. Factor k(y).
-3*y*(y + 1)*(2*y + 1)**2/2
Let d(v) = -v**2 - 13*v + 37. Let q be d(-16). Let n = q - -14. Find f, given that 28*f**n - 4*f**4 - 4*f**5 - 24*f**2 + 3*f**4 + f**4 = 0.
-3, 0, 1, 2
Let l be (2/12)/(1/30) + 270. Suppose -l + 267 = -2*n. Factor 0 + 4/5*a**2 + 2/5*a**n + 0*a - 6/5*a**3.
2*a**2*(a - 2)*(a - 1)/5
Suppose 15 - 35 = -5*x. Factor 10 + 11 - 5 - 44*n**3 - 5*n + 33*n - 12*n**2 - 20*n**x.
-4*(n + 1)**3*(5*n - 4)
Factor 76*a + 1/2*a**3 - 74 - 41/2*a**2.
(a - 37)*(a - 2)**2/2
Let o(y) = -2*y**3 + 130*y**2 - 562*y - 1793. Let h(d) = -d**3 + 14*d + 1. Let k(l) = 7*h(l) - o(l). Suppose k(a) = 0. Calculate a.
-30, -2, 6
Let c(m) be the third derivative of -m**6/6 + 227*m**5/12 - 11155*m**4/24 - 1430*m**3/3 - 10*m**2 + 33*m. Determine j so that c(j) = 0.
-1/4, 13, 44
Suppose 2*v - u - 13 = 0, 5*v + 3*u = -u. Suppose 17*k**4 + 32*k + 24*k**3 + 60*k**2 - 3*k**4 - 18*k**v = 0. What is k?
-1, 0, 8
Let r(l) be the second derivative of -11/4*l**6 + 5/2*l**4 - 202*l - 155/6*l**3 + 30*l**2 + 121/16*l**5 + 15/56*l**7 + 0. Let r(z) = 0. Calculate z.
-1, 2/3, 3, 4
Let v(h) = -h**2 - 9*h - 13. Let w be v(-7). Let q be (w/(-9))/(8/(-96)). What is c in 0 + q*c + 2/3*c**2 = 0?
-2, 0
Let v(p) be the third derivative of -7*p**4/6 - 83*p**3/3 + 59*p**2. Let b be v(-6). What is h in 1/6 + 0*h - 1/6*h**b = 0?
-1, 1
Let o = -29626 - -29626. Factor o - 2/13*f - 6/13*f**3 + 6/13*f**2 + 2/13*f**4.
2*f*(f - 1)**3/13
Suppose 496*o - 16 = 492*o. Let w(d) be the second derivative of 2/21*d**7 + 17*d + 0*d**2 + 0*d**5 + 2/5*d**6 + 0 + 0*d**3 - 4/3*d**o. Let w(n) = 0. What is n?
-2, 0, 1
Let c(p) = -40*p**2 + 222*p + 254. Let y(v) = -v**3 + 84*v**2 - 444*v - 509. Let q(t) = 5*c(t) + 2*y(t). Factor q(r).
-2*(r - 6)*(r + 1)*(r + 21)
Suppose 15*c = 109 - 79. Let t be (3/2)/((-2)/(-4)). Factor 5*y - t*y - 2*y**c - 14 + 8 + 6*y.
-2*(y - 3)*(y - 1)
Let z(c) be the first derivative of 4*c**3/3 + 92*c**2 - 384*c - 599. Factor z(a).
4*(a - 2)*(a + 48)
Let t be (4 + 11)*4/12. Factor -z**2 - 13*z + 29*z - 10*z - t*z.
-z*(z - 1)
Let f(r) be the first derivative of r**6/54 - 8*r**4/9 - 34*r**3/9 - 113*r**2/18 - 14*r/3 - 12966. Let f(c) = 0. Calculate c.
-3, -2, -1, 7
Let a(h) be the first derivative of h**4/16 + 2*h**3/3 - 25*h**2/2 - 56*h - 2491. Solve a(q) = 0.
-14, -2, 8
Let q(r) be the third derivative of -1/130*r**5 + 0*r**3 + 0*r - 7*r**2 + 0 - 1/780*r**6 + 0*r**4. Factor q(b).
-2*b**2*(b + 3)/13
Let g(v) be the first derivative of -2*v**3/27 + 13*v**2/9 - 8*v - 1976. Solve g(l) = 0.
4, 9
Let s(y) = y**2 - 10*y - 1. Let m(h) = -8*h**2 + 294*h + 726. Let w(l) = m(l) + 6*s(l). Suppose w(c) = 0. Calculate c.
-3, 120
Let s be (-12)/36*4*((-308)/33 + 9). Determine v, given that -32/9*v**3 - 4/3*v**4 - 8/3*v**2 + 0*v + s = 0.
-1, 1/3
Let g = 33/295 - -621/2360. Determine m so that 3/8*m**4 - 1/8*m**5 + 1/8*m**2 + 0*m - g*m**3 + 0 = 0.
0, 1
Let h(j) be the first derivative of -15*j**4/4 + 17*j**3 + 21*j**2 - 24*j - 399. Determ