/2
Suppose 897*r**4 - 24960*r**2 + 1937*r - 181*r**4 - 27137*r - 4779*r**3 + 767*r**3 + 440*r**4 = 0. What is r?
-30/17, 0, 7
Let z(g) be the third derivative of g**5/120 - 121*g**4/12 + 161*g**3/4 - 7025*g**2. Factor z(w).
(w - 483)*(w - 1)/2
Let a(w) = -2*w**3 - 14*w**2 + 17*w + 12. Let m be a(-8). Let 17*n**5 - 29*n**3 - n**2 + 5*n**3 - 5*n**2 - 3*n**4 + 12*n + 3 - 5*n**5 + 6*n**m = 0. What is n?
-1, -1/4, 1
Suppose 8*v - 12*v + 8588 = 0. Factor 2432*h - 230 - 863*h**2 - 258 - v*h**2 - 59*h**3 + 31*h**3 - 22*h**3.
-2*(h + 61)*(5*h - 2)**2
Let p(d) = -d**2 + 639*d - 640. Let o(u) = 3*u**2 - 2556*u + 2562. Let h(c) = 2*o(c) + 9*p(c). Factor h(k).
-3*(k - 212)*(k - 1)
Let i(m) be the second derivative of m**6/105 + 111*m**5/35 + 2738*m**4/7 + 405224*m**3/21 - 583*m - 2. Factor i(f).
2*f*(f + 74)**3/7
Let j = -1059022/105 - -10086. Let t(o) be the second derivative of 0*o**2 - 4*o + 0 - 6/35*o**5 - 2/147*o**7 - 2/21*o**3 - j*o**6 - 4/21*o**4. Solve t(s) = 0.
-1, 0
Let s(h) be the second derivative of -h**6/6 - 41*h**5/4 + 5*h**4/12 + 205*h**3/6 - 644*h. Solve s(l) = 0 for l.
-41, -1, 0, 1
Suppose -2*i + o = -19, -12*i + 13*i - 2*o = 5. Let u(b) be the first derivative of 0*b - 1/12*b**4 - 1/15*b**5 + i + 1/6*b**2 + 1/9*b**3. Factor u(s).
-s*(s - 1)*(s + 1)**2/3
Let u(t) be the second derivative of t - 1/8*t**4 + 0*t**3 - 1/40*t**5 + t**2 + 1. Factor u(o).
-(o - 1)*(o + 2)**2/2
Factor 1160 + 3*r + 51*r**2 + 5*r**3 - 466*r**2 - 8*r - 745*r**2 + 0*r**3.
5*(r - 232)*(r - 1)*(r + 1)
Let i = 8582/5 + -1744. Let l = 976/35 + i. Factor -12/7*m**2 - 16/7 - 24/7*m - l*m**3.
-2*(m + 2)**3/7
Let z(t) be the third derivative of t**7/350 - 7*t**6/20 + 319*t**5/100 + 39*t**4/4 + 8*t**2 - 2*t + 34. Solve z(n) = 0 for n.
-1, 0, 6, 65
Let j = -455049 - -5915665/13. Let -10/13*v + 2/13*v**2 - j = 0. What is v?
-2, 7
Let o(t) = 69*t - 19*t**2 + 13*t**2 + 65*t + 7*t**3 - 49*t**2 - 83. Let i(g) = 8*g**3 - 56*g**2 + 136*g - 84. Let a(f) = 3*i(f) - 4*o(f). Factor a(l).
-4*(l - 10)*(l - 2)*(l - 1)
Suppose -304 = 33*p - 495 - 403. Suppose p*x**3 - 1/3*x**5 + 59/3*x - 86/3*x**2 - 11/3*x**4 - 5 = 0. Calculate x.
-15, 1
Let k(c) = c - 11. Let m be k(22). Let n = -6 + m. Let 6*p**3 + n*p**2 + 2*p**4 - 6*p - 16*p**2 + 9*p**2 = 0. What is p?
-3, -1, 0, 1
Let v = -3358/81 + -67801/405. Let b = 209 + v. Suppose -4/5*w + b*w**2 - 14/15 = 0. What is w?
-1, 7
Factor 0*p**2 + 2/7*p**3 - 14*p + 0.
2*p*(p - 7)*(p + 7)/7
Let v(q) be the second derivative of 0*q**4 + 84 + 3*q + 0*q**2 - 37/60*q**5 - 1/90*q**6 + 0*q**3. Factor v(u).
-u**3*(u + 37)/3
Let m(x) be the third derivative of x**5/270 + x**4/2 + 200*x**3/27 - 199*x**2 + 4*x. Factor m(a).
2*(a + 4)*(a + 50)/9
Suppose -21*y + 90 + 3/5*y**2 = 0. Calculate y.
5, 30
Solve -2/7*d**2 - 104/7*d + 0 = 0.
-52, 0
Let t(j) be the third derivative of j**7/840 + 17*j**6/96 - 29*j**5/80 - 85*j**4/96 + 43*j**3/12 + 9257*j**2 + 1. Factor t(n).
(n - 1)**2*(n + 1)*(n + 86)/4
Let a(t) be the first derivative of t**5/480 - t**4/96 - t**3/16 - t**2 - 18*t + 50. Let f(p) be the second derivative of a(p). Let f(z) = 0. Calculate z.
-1, 3
Find m such that -11172/11 - 1026/11*m**2 - 78/11*m**3 - 2/11*m**4 - 5642/11*m = 0.
-19, -7, -6
Let o(s) be the third derivative of s**5/420 - 73*s**4/168 - 22*s**3/3 - 992*s**2. Find y such that o(y) = 0.
-4, 77
Suppose -11*i + 63 = -168. Determine f, given that 14*f**2 + 0*f**3 - 8 - i*f + 29*f - 10*f**3 + 8*f = 0.
-1, 2/5, 2
Suppose -8*z = z. Suppose z = -3*m - 2*g + 9, 0 = -g - 2*g. Find p, given that -2/7*p + 2/7 - 2/7*p**2 + 2/7*p**m = 0.
-1, 1
Let w(z) be the second derivative of -z**7/45 + 16*z**6/45 + 87*z**5/50 - 49*z**4/45 - 404*z**3/45 + 56*z**2/5 + 475*z. Let w(s) = 0. What is s?
-2, 3/7, 1, 14
Let h = -611482/3 - -203868. Factor 12*g**3 - 200/3 - h*g**2 - 120*g - 2/3*g**4.
-2*(g - 10)**2*(g + 1)**2/3
Let k = -12 - -16. Suppose 0 = -3*o + 4*v - 2, 2*o - v + k = 6. Factor 5*y**2 - 23*y - 18 + 11*y - 7*y**o.
-2*(y + 3)**2
Let y(p) be the first derivative of -5*p**5 + 6765*p**4/4 + 3170*p**3 + 1360*p**2 + 5839. Let y(u) = 0. What is u?
-1, -2/5, 0, 272
Let h(j) be the first derivative of -1598*j**3 + 5*j + 1599*j**3 + 9*j**2 + 19*j - 78. Factor h(g).
3*(g + 2)*(g + 4)
What is s in 1533984*s**2 + 495*s**3 + 0*s**5 - 1535604*s**2 - 14580*s - 5*s**5 + 30*s**4 = 0?
-6, 0, 9
Let f(c) = -2*c**3 - 2*c**2 - c + 1. Let y(s) = -21*s**3 + 229*s**2 - 1113*s + 13. Let d(t) = -13*f(t) + y(t). Suppose d(h) = 0. Calculate h.
-55, 0, 4
Suppose 7*h - 3*h + 3*t - 26 = 0, 2*h - 5*t = 0. Suppose -3*p - 24 = -h*k, -2*k + 12 = -p + 3. Factor 16*n**3 + 12*n**k + 9*n**3 - 41*n**3 + 8*n**2.
-4*n**2*(n - 2)
Let v(o) be the first derivative of 1/5*o**5 + 0*o + 1/2*o**2 - 1/4*o**4 - 1/3*o**3 + 14. Factor v(l).
l*(l - 1)**2*(l + 1)
Let j(h) be the second derivative of h**6/60 - 13*h**5/40 + 29*h**4/24 + 13*h**3/12 - 15*h**2/2 - 8737*h - 1. Suppose j(p) = 0. Calculate p.
-1, 1, 3, 10
Let q(p) be the second derivative of -p**5/20 - 11*p**4/12 + 25*p**3/6 - 13*p**2/2 + 2*p - 47. Let q(f) = 0. Calculate f.
-13, 1
Suppose -26*d + 24*d - 288 = 0. Let q = 146 + d. Suppose 6 - 15/2*l + 3/2*l**q = 0. What is l?
1, 4
Suppose -45906*z + 45903*z - 45 = -5*x, 26 = 2*x - 2*z. Factor 45*r**2 - 10/3*r + 0 + 145/3*r**x.
5*r*(r + 1)*(29*r - 2)/3
Let o(m) be the first derivative of m**5/5 - 15*m**4/4 - 7*m**3 + 83*m**2/2 - 48*m + 6632. Factor o(y).
(y - 16)*(y - 1)**2*(y + 3)
Let z = -6809 - -6812. Let r = 6 + -6. Factor r + 3/8*w**4 + 3/8*w**z - 3/4*w**2 + 0*w.
3*w**2*(w - 1)*(w + 2)/8
What is z in -3/7*z**4 - 387/7*z - 219/7*z**2 - 30 - 45/7*z**3 = 0?
-7, -5, -2, -1
Let l(x) be the third derivative of -x**7/105 - x**6/10 + x**5/10 + 4*x**4/3 - 4*x**3 + x**2 - 37. What is q in l(q) = 0?
-6, -2, 1
Suppose -937*h + 926*h + 77 = 0. Let j be h/6*(1080/(-126))/(-15). Factor -8/15*a + 2/15*a**2 - j.
2*(a - 5)*(a + 1)/15
Let z be ((-9)/(-9))/(-1 - -2). Let j be (-7 + 4)*(1 + -1 - z). Factor -j - 4*t**2 - t**2 + 6*t + 2*t**2.
-3*(t - 1)**2
Let h(t) be the third derivative of t**8/60480 + t**7/840 + 17*t**6/2160 - 9*t**5/10 + 11*t**2 + 2. Let r(i) be the third derivative of h(i). Factor r(a).
(a + 1)*(a + 17)/3
Let c be (-382)/(-18) + (-2)/9. Let a be (3/2)/((-108)/828)*-2. Suppose 17*w - 4*w**2 + a*w + c*w - 65*w = 0. What is w?
-1, 0
Suppose 4*w + 3*p = 0, -6*w + 35 = -w - 5*p. Find i, given that 351*i**4 - 30*i**2 - 356*i**4 - 25*i**3 - 10*i**w = 0.
-6, -1, 0
Let z be 3 + (-6)/(-7)*-3. Let k = -342/139 + 2672/973. Let 1/7*m**4 - z*m**2 + 5/7*m - 1/7*m**3 - k = 0. Calculate m.
-2, 1
Let h(u) be the second derivative of 0*u**2 - 2/3*u**4 + 2/21*u**7 + u**5 - 8/15*u**6 + 0*u**3 + 0 - 30*u. Factor h(b).
4*b**2*(b - 2)*(b - 1)**2
Let d(x) be the first derivative of -x**7/7560 + x**6/1080 + x**5/108 + 25*x**3/3 - 62. Let v(b) be the third derivative of d(b). Factor v(q).
-q*(q - 5)*(q + 2)/9
Factor 1/8*p**3 - 3/2 - p + 1/8*p**2.
(p - 3)*(p + 2)**2/8
Factor 0*s + 2/21*s**3 + 0 - 302/21*s**2.
2*s**2*(s - 151)/21
Factor 4/3*c**3 - 2128/3*c + 92*c**2 + 0.
4*c*(c - 7)*(c + 76)/3
Let m(j) = -9*j**3 + 4*j**2 - 10*j + 4. Let s be m(-13). Let 20*p**2 + 5*p**3 - 20583 + s = 0. What is p?
-4, 0
Factor 177 + 449*r**2 + 163*r**2 + 102*r + 51*r**2 - 3*r**4 + 168*r**3 + 426*r - 141*r**2.
-3*(r - 59)*(r + 1)**3
Suppose 123*u - 29*u - 315 = 61. Let g(i) be the first derivative of -24 - 6*i + 4/3*i**3 - 1/2*i**2 - 1/4*i**u. Factor g(n).
-(n - 3)*(n - 2)*(n + 1)
Let b = -682 + 880. Let o be 54/243 + 262/b. Factor 2/11*n + 8/11*n**3 + 0 + o*n**2.
n*(n + 2)*(8*n + 1)/11
Let s(h) be the second derivative of h**4/24 + 101*h**3/12 + 25*h**2 + 1128*h. Factor s(u).
(u + 1)*(u + 100)/2
Let n(j) be the first derivative of -2*j**3/3 + 39*j**2 - 448*j + 1133. Factor n(v).
-2*(v - 32)*(v - 7)
Let f be (19*(-13)/(-247))/(1/92). Let v be f/(-14) + (-15 + 14)*-7. Factor -3/7*t + 3/7*t**3 - 3/7*t**2 + v.
3*(t - 1)**2*(t + 1)/7
Let c(z) be the third derivative of -z**5/75 - 25*z**4/6 - 164*z**3/5 - 1975*z**2. Solve c(s) = 0 for s.
-123, -2
Suppose q + m = 90 + 564, -3*q + 5*m = -1922. Let p = q + -2569/4. Factor 0 + p*w**3 + 3/2*w - 21/4*w**2 - 15/4*w**4 + 3/4*w**5.
3*w*(w - 2)*(w - 1)**3/4
Let s(g) be the first derivative of 11*g**3/2 + 17*g**2/2 + g/2 + 261. Factor s(w).
(w + 1)*(33*w + 1)/2
Let