4060*w**2 = 0.
-46, -7, 0
Let u(d) = 867*d - 11269. Let l be u(13). Suppose 19/3*n**l + 0 + 1/3*n**4 - 3*n - 11/3*n**3 = 0. What is n?
0, 1, 9
Suppose 1428 + 712 = 1070*s. Let -9/7 + 9/7*o**s + 1/7*o**3 - 1/7*o = 0. Calculate o.
-9, -1, 1
Find v such that -56*v**2 + 3341 + 164*v**2 + 37*v**2 + 1520*v**4 - 145*v + 35*v - 3356 + 1760*v**3 = 0.
-1, -1/4, -3/19, 1/4
Factor 49076*z**2 - 456*z - 49072*z**2 + 5796*z.
4*z*(z + 1335)
Let j(f) be the first derivative of 5*f**6/2 + 206*f**5 - 345*f**4/4 + 3046. Solve j(z) = 0.
-69, 0, 1/3
Let z(d) = 24*d**3 - 1084*d**2 + 20442*d + 467944. Let k(q) = -5*q**3 + 217*q**2 - 4089*q - 93588. Let g(r) = 14*k(r) + 3*z(r). Factor g(f).
2*(f - 60)**2*(f + 13)
Let h(n) be the first derivative of -n**3/3 + 87*n**2 - 845*n + 4576. Factor h(f).
-(f - 169)*(f - 5)
Suppose 0 = -2*y + 4 + 6. Suppose 4*m - 8 = 0, -y*d = -4*m - 0*m - 2. Factor 7*b - 2*b**d + 8*b - 19*b - 2.
-2*(b + 1)**2
Let q(k) = -2. Let s(m) = 9*m**2 - 39*m + 24. Let u be 6/(-4)*-2*6/18. Let i(b) = u*s(b) + 6*q(b). Determine y so that i(y) = 0.
1/3, 4
Let t(k) be the third derivative of 2/45*k**6 - 1/45*k**5 + 11/1008*k**8 - 12*k**2 + 0 + 0*k + 31/630*k**7 + 0*k**4 + 0*k**3. Determine q, given that t(q) = 0.
-2, -1, 0, 2/11
Factor 3*q**2 + 32*q - 149*q + 81*q.
3*q*(q - 12)
Let w(b) = -19428*b + 19428. Let z be w(1). Factor -5*v + z - 1/4*v**2.
-v*(v + 20)/4
Let d be (-19)/532*40 - (-2448)/126. Find n, given that -4*n - 10/3*n**5 - 58/3*n**2 + 0 - 30*n**3 - d*n**4 = 0.
-3, -1, -2/5, 0
Let s(j) be the second derivative of j**4/18 - 40*j**3/3 + 1391*j**2/3 + 8714*j. Determine i, given that s(i) = 0.
13, 107
Let x(g) be the third derivative of 1/720*g**6 + 5/18*g**3 + 182*g**2 + 0*g + 7/48*g**4 + 0 + 1/30*g**5. Factor x(s).
(s + 1)**2*(s + 10)/6
Let a(n) be the first derivative of n**6/1440 + n**5/60 + 7*n**4/96 - 4*n**3/3 + 63. Let l(y) be the third derivative of a(y). Let l(k) = 0. Calculate k.
-7, -1
Let t(z) be the first derivative of -5*z**4/12 + 100*z**3/3 - 195*z**2/2 + 86*z - 127. Let v(n) be the first derivative of t(n). Factor v(a).
-5*(a - 39)*(a - 1)
Let n = 47512811/9 - 5279201. Let a = -1/112 - -233/1008. Factor 2/3*j - n + a*j**3 - 2/3*j**2.
2*(j - 1)**3/9
Suppose -y + 6 = 2. Suppose 161*v - 290 = 103*v. Factor 18*b**4 - 4*b + y*b + v*b**2 - 23*b**4.
-5*b**2*(b - 1)*(b + 1)
Let f(s) be the second derivative of 3*s**5/20 - 1464*s**4 + 5715456*s**3 - 11156570112*s**2 + s + 1140. Solve f(b) = 0 for b.
1952
Let c = 6258 - 6252. Let f(d) be the first derivative of -33/2*d**2 + 11 - c*d + 13*d**3. What is k in f(k) = 0?
-2/13, 1
Let p(q) be the third derivative of 3*q**2 + 17 - 1/240*q**5 + 0*q + 7/96*q**4 + 3/4*q**3. Factor p(k).
-(k - 9)*(k + 2)/4
Let y(x) be the third derivative of -x**5/15 - 224*x**4 - 301056*x**3 + 3792*x**2 - 2. Factor y(u).
-4*(u + 672)**2
Suppose 8*p = 21*p - 11349. Determine c so that 4*c - p*c**3 + 38 - 78*c + 34*c**2 + 875*c**3 = 0.
-19, 1
Let a(b) be the second derivative of -2*b**4/9 - 22*b**3/9 - 10*b**2/3 + 875*b. Let a(m) = 0. Calculate m.
-5, -1/2
Suppose t - 5*o = -17, t + 3*t + 5*o - 32 = 0. Suppose t*h - 42 = -3. Factor -h*r**2 + 10*r**4 - r**4 + r**2 - 3*r**5.
-3*r**2*(r - 2)**2*(r + 1)
Let l(s) be the first derivative of 2*s**5/55 + 32*s**4 + 249212*s**3/33 + 22464*s**2 + 246402*s/11 + 2960. Solve l(x) = 0.
-351, -1
Let i(b) = b**3 - b - 1. Let h be (-4)/24 - (-20)/(-24). Let k = 0 - h. Let o(r) = 10*r**3 + 10*r**2 + 25*r - 15. Let t(v) = k*o(v) - 15*i(v). Factor t(y).
-5*y*(y - 4)*(y + 2)
Solve 3/7*j**5 + 27/7*j + 0 + 12*j**2 + 36/7*j**4 + 90/7*j**3 = 0.
-9, -1, 0
Let l be (1 + -4)*(((-304)/(-120))/(-19))/(2/10). Let -4 - 1/4*s**l + 5/2*s = 0. Calculate s.
2, 8
Factor -209*s**2 - 5 + 5 - 2*s + 167*s**2.
-2*s*(21*s + 1)
Let l(u) be the first derivative of -3*u**5/35 - 66*u**4/7 - 1826. Factor l(v).
-3*v**3*(v + 88)/7
Let b(t) = -2*t**2 - 21*t - 6. Let u be b(-6). Suppose 9*g - u - 42 = 0. Factor -33*w**3 - g - 92*w**3 + 73*w**2 - 15*w + 6*w**2 + 45*w**4 + 26*w**2.
5*(w - 1)**3*(9*w + 2)
Factor -19*b - 7837*b**4 + 3*b - 36*b**2 - 24*b**3 + 7833*b**4.
-4*b*(b + 1)**2*(b + 4)
Factor -409*s + 5*s**2 - 1530 - 825*s - 291*s.
5*(s - 306)*(s + 1)
Factor 21*c + 65*c - 41*c - c**2 + 378 - 2*c**2.
-3*(c - 21)*(c + 6)
Let w be (4 - (-1792)/(-385))/((-70)/175). Let n(s) be the first derivative of 18 - 6/11*s**2 - w*s - 2/33*s**3. Factor n(k).
-2*(k + 3)**2/11
Find m, given that -164*m + 102 - 52*m - 2*m**2 + 58 + 94 - 36*m = 0.
-127, 1
Factor -333/4*t**2 + 1/4*t**3 - 331/4 + 663/4*t.
(t - 331)*(t - 1)**2/4
Let w = 23407/3315 + -804/1105. Factor -2/3 + 10/3*b**2 + w*b.
(b + 2)*(10*b - 1)/3
Let u(s) be the second derivative of s**5/10 - 5*s**4/3 - 3*s**3 + 5*s**2 + 73*s. Let w(v) = 2*v**2 - 1. Let c(z) = -2*u(z) - 20*w(z). Factor c(a).
-4*a*(a - 3)*(a + 3)
Let s be (-297)/44 + (-644)/(-92). Find t, given that 1/4*t**4 + s*t**3 - 1/2 - 3/4*t**2 - 5/4*t = 0.
-1, 2
Let m = -909 + 1009. Suppose m = 17*x + 49. Find y, given that 2*y**3 + x*y**2 - 5/2*y**4 - 2*y - 1/2 = 0.
-1, -1/5, 1
Find h, given that 20/3*h - 32*h**2 + 0 + 76/3*h**3 = 0.
0, 5/19, 1
Let k = 10190 + -10187. Let d(m) be the first derivative of -2/15*m**k - 27 + 4/5*m + 1/5*m**2. Solve d(c) = 0.
-1, 2
Solve -686*k**2 + 174*k**4 + 113*k - 4*k**5 + 4*k**5 + 18*k**5 + 349*k**3 + 512 - 47*k**3 - 433*k = 0.
-16/3, -1, 1
Solve -5939*c**5 + 4*c**2 - 4*c**3 + 4*c**4 - 5*c**4 + 5940*c**5 = 0 for c.
-2, 0, 1, 2
Let l(s) be the second derivative of 5*s**4/6 + 4565*s**3/6 + 1140*s**2 + 3528*s. Factor l(g).
5*(g + 456)*(2*g + 1)
Let f be (-23 - (-7568)/330)/((-24)/(-20) - 2). Let n(r) be the first derivative of -9/4*r + 32 + 0*r**2 + f*r**3. Find z such that n(z) = 0.
-3, 3
Let s(h) be the third derivative of h**5/270 - 71*h**4/9 + 20164*h**3/3 + 16*h**2 - 41. Suppose s(t) = 0. Calculate t.
426
Let -2*o**2 + 5*o**2 + 9*o**3 - 606*o**4 + 603*o**4 + 3*o - 12*o = 0. Calculate o.
-1, 0, 1, 3
Let r = 1307966/9 - 145324. Determine q so that r*q**2 + 2 + 20/3*q = 0.
-3/5
Let u(f) be the first derivative of -7*f**5/20 + 2543*f**4/16 - 77529*f**3/4 + 295573*f**2/8 - 32761*f/2 - 3937. Suppose u(m) = 0. What is m?
2/7, 1, 181
Factor 3187107*t + 2647*t**2 + 4*t**3 + 16167693*t + 12593*t**2 + 8193532000.
4*(t + 1270)**3
Let l(u) = 17*u**2 - 17. Let d(n) be the second derivative of 2*n**2 + 20*n + 0 - 1/3*n**4 + 0*n**3. Let g(c) = -18*d(c) - 4*l(c). Find a such that g(a) = 0.
-1, 1
Let n be 2 - 2/(-4)*-4. Let y be 12/14*(0 + (-112)/(-12)). Find o, given that 3*o**3 - 3*o**5 + n*o**4 - 8*o**4 + y*o**4 = 0.
-1, 0, 1
Let f(r) = r**3 + 50*r**2 - 160*r - 107. Let i be f(-53). Let j be (-5 + (-261)/i)*-9. Solve -3/8*h**2 - j + 3/2*h = 0 for h.
2
Let u = 2/465855 + 1397561/931710. What is m in 0 - 15/2*m - u*m**2 = 0?
-5, 0
Let q(z) be the first derivative of -2*z**3/3 + z**2/2 + 189. Let t(j) = -14105*j**2 - 1030*j - 20. Let o(b) = -30*q(b) + t(b). Factor o(g).
-5*(53*g + 2)**2
Suppose -14*p + 44 = 13 + 3. Let j(l) be the second derivative of 0*l**p + 0 + 16*l + 1/3*l**4 + 1/5*l**5 - 4/3*l**3. Suppose j(y) = 0. Calculate y.
-2, 0, 1
Let h = 13661 - 13656. Let z(n) be the third derivative of -1/60*n**4 + 0*n**3 + 0 + 0*n + 7/300*n**h - 30*n**2. Let z(p) = 0. What is p?
0, 2/7
Let v(p) be the third derivative of p**6/280 - 219*p**5/140 - 55*p**4/14 + p**2 - 3. Suppose v(t) = 0. What is t?
-1, 0, 220
Let z(q) be the second derivative of 1/90*q**6 - 11*q - 7/18*q**3 + 0 - 1/4*q**4 + 4/3*q**2 + 7/60*q**5. Factor z(c).
(c - 1)**2*(c + 1)*(c + 8)/3
Let f(v) = -v**3 + 13*v**2 + 2*v + 13. Let t be f(13). Suppose -2*g + 11 = -k, 3*g - t = k - 22. Find a, given that -g*a + 3/2*a**2 + 9/2 = 0.
1, 3
Let x(n) be the third derivative of 0*n**3 + 0 - 131*n**2 + 11/150*n**5 + 0*n - 1/300*n**6 + 0*n**4. Factor x(z).
-2*z**2*(z - 11)/5
Let n(j) be the first derivative of j**3/3 + 45*j**2/2 - 46*j - 1156. Factor n(a).
(a - 1)*(a + 46)
Suppose -114/7*h**2 - 24/7*h**4 - 3/7*h**5 - 12*h - 75/7*h**3 - 24/7 = 0. Calculate h.
-2, -1
Let a = 3837 + -3834. Let c(s) be the first derivative of 1/3*s**2 - 10 + 0*s + 2/27*s**a. Factor c(j).
2*j*(j + 3)/9
Let t(k) = k**2 + 92*k - 285. Let r be t(3). Let q(m) be the second derivative of -9/10*m**2 + r + 1/5*m**3 + 1/20*m**4 - 18*m. Find g, given that q(g) = 0.
-3, 1
Let c = 1