(k) = 0.
-6, 4
Suppose -2*t - 17*t + 133 = 0. Factor 840*k + 86*k**2 + 155 + t*k**3 + 14 + 39*k**2 - 52*k**3 + 11.
-5*(k - 6)*(k + 3)*(9*k + 2)
Let c(p) = -7994*p + 199850. Let l be c(25). Factor -2*m**4 - 8/3*m**2 + l*m + 0 + 5*m**3 - 1/3*m**5.
-m**2*(m - 1)**2*(m + 8)/3
Factor 2/3*r**2 - 704/3 - 56*r.
2*(r - 88)*(r + 4)/3
Let n = -17/67 + 10103/737. Solve 190/11*p**4 - 8/11 - 200/11*p**5 + n*p**3 - 56/11*p - 74/11*p**2 = 0.
-2/5, -1/4, 1
Determine l so that 1/5*l**2 + 21780 - 132*l = 0.
330
Let y(i) be the first derivative of 3/2*i + 23/8*i**2 + 67 + 1/24*i**6 + 2/5*i**5 + 17/6*i**3 + 3/2*i**4. Factor y(s).
(s + 1)**3*(s + 2)*(s + 3)/4
Suppose 0*n + 43/6*n**4 + 147/2*n**2 + 0 + 1/6*n**5 + 161/2*n**3 = 0. What is n?
-21, -1, 0
Let o(g) be the first derivative of g**4/2 + 136*g**3/3 + 925*g**2 - 16428*g - 4044. Solve o(d) = 0 for d.
-37, 6
Let q be (-15)/10 + 195/6. Factor -31 - 4*u**3 + 4*u - 16*u**2 + q - 16*u.
-4*u*(u + 1)*(u + 3)
Solve -32/5*u**3 - 3538/5*u + 442/5 + 7088/5*u**2 = 0.
1/4, 221
Let u(v) be the first derivative of -2*v**6/3 - 8*v**5 + 164*v**4 - 568*v**3/3 - 326*v**2 + 608*v + 96. Determine x so that u(x) = 0.
-19, -1, 1, 8
Let x(u) be the second derivative of u**6/150 - 3*u**5/50 - 7*u**4/60 + 6*u - 232. Determine c, given that x(c) = 0.
-1, 0, 7
Let u(d) = 3*d**2 + 9*d + 18. Let k be u(-2). Suppose 82 + k = 47*m. Suppose 14/5*i - 2*i**m - 2/5 - 14/5*i**3 + 12/5*i**4 = 0. What is i?
-1, 1/6, 1
Factor -1/4*y**2 + 0 - 981/4*y.
-y*(y + 981)/4
Suppose -19*v - 10036 + 10074 = 0. Let c(f) be the third derivative of 0*f**3 - 21*f**v + 0 + 0*f + 0*f**6 + 1/105*f**7 - 1/6*f**4 - 1/10*f**5. Factor c(t).
2*t*(t - 2)*(t + 1)**2
Suppose 2*o = -5*c + 24693, -o + 49431 = 3*o - 5*c. Let t = -5092 + 5095. Solve 2750 - 622*i + 6110*i - 1547*i**2 + 112*i**t - o - 4*i**4 + 371*i**2 = 0 for i.
7
Let d(m) be the third derivative of m**5/120 - 7*m**4/24 + 11*m**3/4 - 3539*m**2. Factor d(p).
(p - 11)*(p - 3)/2
Let t = -54297463/564 + 288817/3. Let z = t - -2/141. Factor 1/2 - 1/4*m - z*m**2.
-(m - 1)*(m + 2)/4
Let u(d) be the second derivative of -d**4/9 - 44*d**3/3 + 272*d**2/3 - 1733*d. Factor u(b).
-4*(b - 2)*(b + 68)/3
Let d be (0/((162/(-9))/9))/(10/(-2)). Factor 1/7*p**4 + d + 1/7*p - 1/7*p**3 - 1/7*p**2.
p*(p - 1)**2*(p + 1)/7
Suppose 2*q**3 + 19872*q - 308*q**2 - 748 - 6*q**3 + 108 - 18920*q = 0. Calculate q.
-80, 1, 2
Let c(r) be the second derivative of -r**7/2940 + r**5/105 + 5*r**3/6 - r**2/2 - 27*r. Let m(g) be the second derivative of c(g). Determine u so that m(u) = 0.
-2, 0, 2
Let k(h) = 6*h**2 - 508*h - 466. Let x(y) = -y**2 - 5. Let j(v) = k(v) + 8*x(v). Factor j(c).
-2*(c + 1)*(c + 253)
Let c be (583/8162)/((2 + 15/(-7))*-2). Suppose 0 + 1/2*b**2 - 1/2*b**4 + 1/4*b**5 - c*b**3 + 0*b = 0. What is b?
-1, 0, 1, 2
Let u(d) = -9*d**2 + 173*d + 1113. Let f(x) = -4*x**2 + 83*x + 557. Let n(m) = -7*f(m) + 3*u(m). Let n(t) = 0. What is t?
-8, 70
Solve 24/5*v**2 - 278/5*v + 18 = 0 for v.
1/3, 45/4
Let a(j) = j**2 - 10*j - 72. Let o be a(15). Determine v, given that -20*v**o + 0*v**4 - 4*v**4 + 4*v**3 - 4*v**3 - 16*v**2 = 0.
-4, -1, 0
Let 12*x**2 + 4206 + 720*x - 11*x**2 + 20*x**2 - 19758 - x**3 = 0. What is x?
-27, 24
Let r(d) be the first derivative of -18/5*d**2 - 49/30*d**6 - 613/20*d**4 + 0*d - 113 - 322/25*d**5 - 92/5*d**3. Find w such that r(w) = 0.
-3, -2/7, 0
Let w(j) be the second derivative of 2*j**7/3 - 10*j**6 - 10*j**5 + 100*j**4 + 176*j**3/3 - 22*j + 31. Solve w(h) = 0 for h.
-2, -2/7, 0, 2, 11
Let f(d) be the first derivative of -5*d**4/2 - 5*d**3/3 - 25*d**2 + 35*d - 213. Let l(g) = -g**3 - g**2 - g + 1. Let b(v) = f(v) - 15*l(v). Factor b(n).
5*(n - 1)**2*(n + 4)
Let r(s) = -s**3 - 2*s**2 + 1. Let n(h) = 6*h**3 - 263*h**2 - 19043*h + 19314. Let f(w) = -4*n(w) - 28*r(w). Factor f(q).
4*(q - 1)*(q + 139)**2
Let f = 2/117 - -37/117. Let k(v) be the second derivative of -1/12*v**4 + f*v**3 - 1/20*v**5 + 0 - 24*v + 0*v**2. Factor k(w).
-w*(w - 1)*(w + 2)
Let w(u) = -5*u**2 - 300*u - 4492. Let x(a) be the first derivative of -5*a**3/3 - 150*a**2 - 4490*a - 130. Let j(r) = -5*w(r) + 4*x(r). Factor j(k).
5*(k + 30)**2
Let i(s) be the third derivative of s**8/2688 + 11*s**7/105 - 71*s**6/192 + 89*s**5/240 + 11535*s**2. Solve i(k) = 0 for k.
-178, 0, 1
Let g be (-150)/125*(-2)/9. Let b(t) be the third derivative of t**2 + 1/150*t**5 + g*t**3 + 0 + 0*t - 1/12*t**4. Factor b(c).
2*(c - 4)*(c - 1)/5
Let y(w) be the third derivative of -3*w**8/112 - 2*w**7/35 - 299*w**2 - 6. Determine c so that y(c) = 0.
-4/3, 0
Let z(j) = -3 - 42*j + 53*j + 157. Let s be z(-14). Find a such that -3/8*a + s - 3/8*a**2 = 0.
-1, 0
Let v(t) be the second derivative of t**3/6 + 12*t**2 - 5*t. Let c be v(-22). Let 1/4*b**c - 1/4*b + 0 = 0. What is b?
0, 1
Let q(p) = 2*p**3 + p + 4. Suppose -16 = -5*u - 16. Let i be q(u). Suppose -25/6*y**i + 64/3*y + 176/3*y**2 + 8/3 + 170/3*y**3 - 125/6*y**5 = 0. What is y?
-1, -2/5, 2
Let p(y) be the second derivative of 0 + 0*y**2 + 181*y + 1/9*y**3 + 1/18*y**4 + 1/120*y**5. Factor p(k).
k*(k + 2)**2/6
Factor -33075/2 + 105*h - 1/6*h**2.
-(h - 315)**2/6
Suppose 2*z - 19 = -3*f, f - 2*z + 2 = -5. Let a be 64/80 - 4/35*7. Solve 0 + 7/2*j**4 - 2*j**5 + 7*j**f + a*j + 3/2*j**2 = 0.
-1, -1/4, 0, 3
Factor -14/3*f - 2/3*f**2 + 132.
-2*(f - 11)*(f + 18)/3
Suppose 2 = 4*j + 3*n, -13*n - 8 = -9*n. Solve 5*u + 204*u**2 + 14*u - 12*u**2 - 15*u**3 - 94*u + 38*u**j = 0.
0, 1/3, 15
Let d(p) be the third derivative of p**8/840 + 8*p**7/175 + 89*p**6/150 + 56*p**5/25 - 539*p**4/60 + 1281*p**2. Let d(v) = 0. What is v?
-11, -7, 0, 1
Suppose -3*h - 4*t + 5 = t, 0 = -2*t - 10. Suppose -8*y + 2*f + 16 = -4*y, y = -3*f - h. Factor -10*q - y*q + 54*q**2 + 75*q**3 + 12 - 129*q**2.
3*(q - 1)*(5*q - 2)*(5*q + 2)
Factor -45*l - 5/2*l**2 + 0.
-5*l*(l + 18)/2
Let m be 55/(220/12) + 0/(-2). Factor -3/5*v**m - 8/5*v**2 + 4*v + 16/5.
-(v - 2)*(v + 4)*(3*v + 2)/5
Let b be (2 - 7)*228/(-4560). Factor 0 + 0*v - v**3 + b*v**2 + v**4.
v**2*(2*v - 1)**2/4
Let d(o) = -o**3 + 5*o**2 - 6*o + 2. Let a be d(2). Solve -79 - 255*w**a + 104*w - 5*w**4 - 1 - 119*w - 103*w - 95*w**3 - 127*w = 0.
-16, -1
Let f(r) be the third derivative of -r**4/24 + 13*r**3/6 + 2*r**2 - 13*r. Let o be f(3). Solve -28*z + 45*z**2 - 32*z - 16*z**4 + o*z**3 + 20 + z**4 = 0 for z.
-2, 2/3, 1
Let m(y) be the third derivative of -y**7/210 - 2*y**6/45 - 2*y**5/15 - 7*y**3/2 - 40*y**2. Let k(q) be the first derivative of m(q). Factor k(j).
-4*j*(j + 2)**2
Let 24/7*l**4 - 4/7*l**2 + 22/7*l**3 - 2/7*l + 0 = 0. What is l?
-1, -1/4, 0, 1/3
Let r(n) be the third derivative of -32/3*n**3 + 0 + 1/420*n**7 - 2/3*n**4 + 1/5*n**5 + 1/24*n**6 + 13*n**2 + 0*n. Factor r(i).
(i - 2)*(i + 4)**3/2
Suppose -443*d + 448*d - 15 = 0. Find u such that 2*u**3 - 36*u**2 - 2*u**5 - 21*u**3 + 41*u**d + 16*u = 0.
-4, 0, 1, 2
Factor 3/2*l**3 - 1536 - 288*l + 0*l**2.
3*(l - 16)*(l + 8)**2/2
Factor -3/2*l**2 - 1391283/2 - 2043*l.
-3*(l + 681)**2/2
Factor 14*h**3 - 101*h + 209*h - 128*h + 16*h**3 + 298*h**2.
2*h*(h + 10)*(15*h - 1)
Let n = 1033 - 1042. Let q be n*((-2)/(-24))/((-70)/40). Solve -1/7*g**3 - 5/7*g**2 - g - q = 0.
-3, -1
Let v(d) be the first derivative of -d**7/63 - 2*d**6/45 + d**4/9 + d**3/9 + 12*d - 24. Let r(c) be the first derivative of v(c). Suppose r(l) = 0. What is l?
-1, 0, 1
Let k(j) be the first derivative of -j**6/6 + 6*j**5/5 - 2*j**4 - 2*j**3 + 9*j**2/2 - 2325. Factor k(o).
-o*(o - 3)**2*(o - 1)*(o + 1)
Let k(n) be the first derivative of 147*n**5/5 + 8799*n**4/4 - 13635*n**3/4 + 663*n**2 - 183*n/4 - 8124. Suppose k(c) = 0. Calculate c.
-61, 1/14, 1
Suppose 832*a = 836*a - 16. Factor s**2 - s - a*s + 5*s + 4 + 5*s.
(s + 1)*(s + 4)
Factor -359*w + 2*w**3 - 455*w - 48*w**2 - 448 + 316*w.
2*(w - 32)*(w + 1)*(w + 7)
Find f, given that 9792/5*f - 13824/5 - 3/5*f**5 - 636/5*f**3 + 192/5*f**2 - 84/5*f**4 = 0.
-12, -8, 2
What is s in 7774 + 2/23*s**2 - 52*s = 0?
299
Let l(a) be the second derivative of 3*a**4/4 - 523*a**3/6 + 29*a**2 + 539*a. Solve l(s) = 0 for s.
1/9, 58
Factor -31/4*x + 1/4*x**2 - 8.
(x - 32)*(x + 1)/4
Let k(v) be the first derivative of v**4/12 - 688*v**3/9 + 1373*v**2/6 - 686*v/3 - 6299. Factor k(c).
(c - 686)*(c - 1)**2/3
Let u(b) be the second derivative of -15*b + 0*b**4 - 1