*2 + 2/9*t**3 + 0 + 10/3*t = 0.
-5, -3, 0
Factor 26937 - 10*y**2 - 13468 - 1783*y - 14003.
-(y + 178)*(10*y + 3)
Let f(s) = 3*s. Let p(r) = -48 + 14 + 21*r + 29 - 2*r**2 + 25. Let h(v) = -18*f(v) + 2*p(v). Determine n so that h(n) = 0.
-5, 2
Suppose -88*x = -95*x + 21. Factor -29*a**2 + 35*a**5 + 80*a**x - 62*a**4 - 7*a**5 - 3*a**2 + 166*a**4.
4*a**2*(a + 2)**2*(7*a - 2)
Let r(g) be the second derivative of g**7/12 + 247*g**6/60 + 1813*g**5/40 - 6551*g**4/24 + 760*g**3/3 + 361*g**2 - 4*g + 644. Find m such that r(m) = 0.
-19, -2/7, 1, 2
Let o(q) be the first derivative of q**4/22 + 8*q**3/33 - 431. Suppose o(n) = 0. What is n?
-4, 0
Factor 82/7*i**2 + 144/7 - 2956/7*i.
2*(i - 36)*(41*i - 2)/7
Suppose l + 194 = k, 5*k + 5*l - 459 - 511 = 0. Let q = 197 - k. Factor 2/13*w**2 + 0 - 2/13*w**q + 4/13*w.
-2*w*(w - 2)*(w + 1)/13
Let d(n) be the third derivative of 0*n**3 + 0*n - 29*n**2 - 1/210*n**5 - 1/14*n**4 + 0. Suppose d(b) = 0. What is b?
-6, 0
Let a(t) be the second derivative of -t**6/80 + 15*t**5/32 - 23*t**4/32 - 25*t**3/16 + 9*t**2/2 + 594*t. Determine s so that a(s) = 0.
-1, 1, 24
Let f(x) be the second derivative of -x**6/135 - 131*x**5/90 + 181*x**4/18 + 43*x**3/3 - 270*x**2 - 12073*x. Determine o, given that f(o) = 0.
-135, -2, 3
Factor -8480/3*v + 8988800/3 + 2/3*v**2.
2*(v - 2120)**2/3
Let o(d) be the first derivative of -d**7/3360 - 13*d**6/1440 - 7*d**5/60 - 5*d**4/6 - 70*d**3/3 - 75. Let z(x) be the third derivative of o(x). Factor z(w).
-(w + 4)**2*(w + 5)/4
Let s(c) be the second derivative of 22*c**7/21 + 1076*c**6/75 + 1251*c**5/25 - 68*c**4/3 - 40*c**3/3 + 251*c - 2. What is a in s(a) = 0?
-5, -2/11, 0, 2/5
Let x be (0 + 2)/(48/20 - 2). Suppose -2*h**2 + 16 + x*h - 20*h + 0*h + h = 0. What is h?
-8, 1
Solve -45*z**4 + 27*z**3 - 3*z**3 + 17472*z - 5*z**2 - 17492*z + 46*z**3 = 0.
-4/9, 0, 1
Let w(s) = -2*s**2 + 22*s + 2. Let b be w(11). Factor -2157*j**3 + 70*j**b + 1077*j**3 + 1075*j**3 + 5*j - 70.
-5*(j - 14)*(j - 1)*(j + 1)
Let b = -73/50 - -711/350. Suppose -6*p = -2*p - 8. Let -2/7*n**p + 0 - b*n + 2/7*n**3 = 0. Calculate n.
-1, 0, 2
Let h(c) be the first derivative of 5*c**3/3 + 195*c**2/2 + 540*c + 556. Factor h(n).
5*(n + 3)*(n + 36)
Let r(i) be the third derivative of i**5/15 + 497*i**4/6 - 332*i**3 - 3250*i**2. Factor r(b).
4*(b - 1)*(b + 498)
Suppose 3*m + 3*b - 9 = 0, 0*b + 3 = m - 3*b. Find h, given that -93*h**5 + 189*h**5 - 92*h**5 - 24 + 52*h - 24*h**m + 8*h**4 - 16*h**2 = 0.
-3, -2, 1
Determine m, given that -348*m**2 + 108*m**2 + 0*m**4 + 40*m**4 + 5*m**5 + 20*m**4 - 17*m**3 - 3*m**3 = 0.
-12, -2, 0, 2
Let k be (2 + 15/(-6))*-20. Suppose -140 = -k*n + 5*n. Factor -25 + 27 + 10 + 20*s**2 + 4*s**3 + n*s.
4*(s + 1)**2*(s + 3)
Let o(b) be the second derivative of -2*b - 1/9*b**3 + 0*b**2 + 101 - 1/54*b**4. Let o(j) = 0. What is j?
-3, 0
Let i(q) = 2342*q + 32790. Let n be i(-14). Solve 28/5*z**4 - 24*z**3 + 0*z + 32/5*z**n + 0 = 0.
0, 2/7, 4
Suppose 4*r + 44*n - 5 = 43*n, -3*n - 27 = -2*r. Factor -34/15*o**4 + 14/5*o**r + 2/5*o**5 + 0 + 6/5*o**2 + 0*o.
2*o**2*(o - 3)**2*(3*o + 1)/15
Let g(o) be the second derivative of o**6/75 + 11*o**5/25 - o**4/30 - 22*o**3/15 - 148*o + 3. Factor g(j).
2*j*(j - 1)*(j + 1)*(j + 22)/5
Let g = 811/274 + 4691/822. Suppose 32/3 + 94/3*u + g*u**3 - 2/3*u**4 + 30*u**2 = 0. Calculate u.
-1, 16
Suppose 2*a - 5*d = 61, 23*a - 11*d - 133 = 19*a. Factor -1/3*q**a + 0 + 5/3*q + 4/3*q**2.
-q*(q - 5)*(q + 1)/3
Let n(o) be the second derivative of -3*o**2 + 141*o + 9/20*o**5 - 4*o**4 - 35/6*o**3 + 0. Factor n(r).
(r - 6)*(3*r + 1)**2
Let o(s) be the third derivative of -s**6/540 - s**5/270 + 65*s**4/108 + 25*s**3/3 + 155*s**2 - 5*s. Factor o(j).
-2*(j - 9)*(j + 5)**2/9
Let w(c) be the first derivative of -3*c**4/8 - 231*c**3/2 - 40365*c**2/4 - 39675*c/2 + 1534. Solve w(b) = 0.
-115, -1
Let i(t) be the second derivative of -11*t**5/20 - 59*t**4/6 + 269*t**3/6 - 70*t**2 - 2*t + 5. Factor i(g).
-(g - 1)**2*(11*g + 140)
Find s, given that -1179*s**2 - 867*s**2 - 1431*s**3 - 252 - 1502*s**2 + 84*s**5 - 1776*s + 1704*s**4 - 127*s**2 = 0.
-21, -1/2, -2/7, 2
Let d = -147 - -150. Factor 5*t**d + 110*t**2 - 70*t**2 - 3*t**4 - 60*t - 2*t**4.
-5*t*(t - 2)**2*(t + 3)
Let q(j) be the third derivative of j**8/1680 + 103*j**7/1260 - 7*j**6/18 - 13*j**5/6 + 89*j**2. Let p(d) be the third derivative of q(d). Factor p(u).
4*(u + 35)*(3*u - 2)
Let s(t) = -t**3 + 6*t**2 - 10*t. Let z be s(0). Let k(l) be the first derivative of -22 + 45/4*l**4 + z*l + 6*l**2 + 27/10*l**5 + 14*l**3. Factor k(c).
3*c*(c + 2)*(3*c + 2)**2/2
Let j = 4279/7 + -38497/63. Suppose -2/9 + j*u**3 + 2/9*u**2 - 2/9*u = 0. What is u?
-1, 1
Suppose -23*k + 30*k - 14 = 0. Determine y so that -6*y - 63*y**k + 125*y**2 - 12 + 2*y - 61*y**2 = 0.
-2, 6
Suppose -121*l**4 + 549*l**3 - 431*l**4 - 144*l**2 - 468*l + 9*l**5 + 480*l - 441*l**5 = 0. Calculate l.
-2, 0, 2/9, 1/4
Let f be (-42)/(-4) + 35/70 + 987/(-91). What is r in 2048/13 - 128/13*r + f*r**2 = 0?
32
Let t(i) be the second derivative of -i**6/10 + 153*i**5/20 - 48*i**4 + 94*i**3 - 2404*i. Factor t(w).
-3*w*(w - 47)*(w - 2)**2
Factor 188/13 + 4986/13*r + 106/13*r**2.
2*(r + 47)*(53*r + 2)/13
Let k(a) be the third derivative of -7/8*a**4 + 0*a + 7*a**2 - 3/20*a**5 + 0 + 3*a**3. Determine j so that k(j) = 0.
-3, 2/3
Let h(w) = 19*w**2 + 90*w + 12. Let b(q) = -23*q**2 - 90*q - 14. Let t(g) = 6*b(g) + 7*h(g). Factor t(r).
-5*r*(r - 18)
Let y(g) = 10*g + 22. Let c be y(-2). Suppose o**3 - 1624*o**2 - 3*o**4 + 2*o**4 + 1630*o**c = 0. What is o?
-2, 0, 3
Let k(u) be the first derivative of -u**6/960 - u**5/64 - u**4/16 + 7*u**3/3 + u**2/2 + 27. Let p(n) be the third derivative of k(n). Let p(v) = 0. What is v?
-4, -1
Let i be (9/(-15))/((-5)/25). Let d = -170114/3 - -56708. What is n in -2/3*n + 0 + d*n**2 - 6*n**4 - 2*n**i = 0?
-1, 0, 1/3
Let o be (6 - -10) + -14 - 2. Let g(c) be the third derivative of -1/3*c**3 - 1/30*c**5 + 1/6*c**4 + o*c - c**2 + 0. Let g(m) = 0. Calculate m.
1
Let c = -64 + 66. Let z(m) = 15*m + 3 - 1 - 13*m + 2 - c*m**3. Let k(j) = 3*j**3 - j**2 - 2*j - 5. Let v(f) = -4*k(f) - 5*z(f). Determine p so that v(p) = 0.
0, 1
Let r(j) = -j**3 + 313*j**2 - 320*j - 634. Let y(w) = -4*w**3 + 940*w**2 - 960*w - 1904. Let b(o) = 16*r(o) - 5*y(o). Factor b(d).
4*(d - 2)*(d + 1)*(d + 78)
Let p = 16713/4 - 83457/20. Factor 6/5*l**2 - p - 36/5*l + 12/5*l**3 - 3/5*l**4.
-3*(l - 3)**2*(l + 1)**2/5
Solve 1507*i**2 + 78 + 3374*i + 7*i**4 + 422*i**3 - 31*i**4 + 2082 + 730*i - 3919*i**2 = 0 for i.
-5/12, 6
Let w(c) be the second derivative of -c**4/4 - 1068*c**3 - 1710936*c**2 - 2*c + 6984. Factor w(o).
-3*(o + 1068)**2
Let n = 373 + -371. Suppose 2*b + n*c - 4 = 5*b, 19 = 2*b + 3*c. Suppose 0 - 2/5*g**4 - 14/5*g**2 + 6/5*g + b*g**3 = 0. What is g?
0, 1, 3
Suppose 5*i = -18 + 53. Suppose -i*o + 12 = -2. Factor -5*b**2 + 4*b**2 + 7*b**2 - 2*b**o.
4*b**2
Let i = -57 - -61. Determine u so that 21*u**4 - 17*u**i + 7*u**2 + 16*u**2 + 8 + 28*u + 13*u**2 + 20*u**3 = 0.
-2, -1
Let y(h) be the third derivative of 1/60*h**6 - 31*h + 5*h**2 - 1/90*h**5 + 0*h**3 - 1/504*h**8 + 0 - 1/18*h**4 + 1/315*h**7. What is a in y(a) = 0?
-1, 0, 1, 2
Solve -41500*d - 62998/3*d**2 - 500/3*d**3 - 1/3*d**4 - 20667 = 0.
-249, -1
Find j such that 1/2*j**3 + 11/4*j + 0 + 23/4*j**2 = 0.
-11, -1/2, 0
Let v(f) be the first derivative of f**4/6 + 2*f**3/3 + f**2 + 2*f/3 + 1485. Factor v(d).
2*(d + 1)**3/3
Let n(x) be the second derivative of x**5/100 - 3*x**4/20 + 3*x**3/5 - 1653*x. Determine s so that n(s) = 0.
0, 3, 6
Let m(q) = 61*q + 2699. Let x be m(-44). Let c(p) be the third derivative of -1/36*p**3 + 1/360*p**5 - 1/720*p**6 + 0*p - x*p**2 + 0 + 1/144*p**4. Factor c(w).
-(w - 1)**2*(w + 1)/6
Let o(c) be the third derivative of 0*c - 59/120*c**6 - 3/35*c**7 - 2 + 55*c**2 + 5/2*c**4 - 1/336*c**8 - 100/3*c**3 + 109/30*c**5. Solve o(i) = 0 for i.
-10, -1, 1, 2
Let b(w) be the first derivative of 23 - 2*w**2 + 24*w - 4/3*w**3. Factor b(q).
-4*(q - 2)*(q + 3)
Suppose 5481 = -31*x + 5667. Factor -x*b - 4/5*b**2 + 0.
-2*b*(2*b + 15)/5
Let c(w) be the first derivative of -w**6/15 + 4*w**5/5 + 7*w**4/5 - 64*w**3/15 - 13*w**2/5 + 44*w/5 - 5217. Find h such that c(h) = 0.
-2, -1, 1, 11
Let x(c) = 13*c**3 - 472*c**2 - 28320*c + 287