r**2 + 6*r - 4. Let o(l) = -2*k(l) - 2*s(l). Let o(w) = 0. What is w?
-2, 1
Let z(c) = 7*c**2 + 14*c + 4. Let b be z(-4). Find h such that -52*h - h**3 + 5*h**3 + 0*h**3 + 12*h**2 - b = 0.
-5, -1, 3
Let c be (-119)/(-51) - 6/(-9). Suppose 2*q - c*m = -4 - 0, -m = -5*q + 16. Suppose 4/7*p**5 - 24/7*p**q + 0 + 0*p - 32/7*p**2 + 48/7*p**3 = 0. What is p?
0, 2
Let j(g) be the second derivative of -g**9/3780 + g**7/90 + g**6/30 - g**4/6 + 30*g**2 - g + 13. Let m(k) be the third derivative of j(k). Factor m(d).
-4*d*(d - 3)*(d + 1)*(d + 2)
Let n be ((-3)/(-5))/((-16)/(-880)). Factor 102 + 60*o**3 - 21*o**2 - 215 + 113 - 6*o - n*o**4.
-3*o*(o - 1)**2*(11*o + 2)
Determine l so that 173052*l - 85089 + 199*l**4 - 173048*l**3 + 16061 - 4*l**5 + 176392*l**2 - 1867*l**4 - 105696 = 0.
-209, -1, 1
Let -2/5*i**4 + 0 - 28/5*i**3 - 62/5*i**2 + 252/5*i = 0. Calculate i.
-9, -7, 0, 2
Let o(c) be the second derivative of -c**6/10 - 63*c**5/20 - 79*c**4/2 - 246*c**3 - 756*c**2 - 155*c. Find f, given that o(f) = 0.
-7, -6, -2
Find b such that -172/7*b**3 - 108/7*b**2 + 746/7*b + 2/7*b**5 - 6/7*b**4 - 66 = 0.
-7, -3, 1, 11
Let s be 142/10 - (1354 - 1340). Factor -26/5 + s*k**2 + 5*k.
(k - 1)*(k + 26)/5
Let h(t) be the first derivative of -2*t**5/35 + 780*t**4/7 - 608400*t**3/7 + 237276000*t**2/7 - 46268820000*t/7 - 731. Solve h(r) = 0.
390
Let p(l) be the third derivative of -l**5/60 - 441*l**4/2 - 1166886*l**3 + 2*l**2 - 8*l + 231. Suppose p(i) = 0. Calculate i.
-2646
Let z(d) = -d**3 - d**2 + d + 1. Let t(q) = 6*q**3 - 24*q**2 + 21*q - 3. Let l = -205 - -208. Let b(g) = l*z(g) + t(g). Let b(o) = 0. What is o?
0, 1, 8
Let 0 - 381/5*t**2 - 378/5*t - 3/5*t**3 = 0. What is t?
-126, -1, 0
Let u(z) be the first derivative of 1/4*z**4 + 0*z - 1/2*z**2 - 1/3*z**3 - 24 + 1/5*z**5. Factor u(i).
i*(i - 1)*(i + 1)**2
Let z = 1304/471 + -16/157. What is l in -1/6*l**3 - 5/2*l - z*l**2 + 0 = 0?
-15, -1, 0
Let k = -226 + 209. Let t(x) = -6*x - 98. Let m be t(k). Solve -4/5*r**2 - 4/5*r**5 + 0 + 0*r + 4/5*r**m + 4/5*r**3 = 0.
-1, 0, 1
Let t(n) be the first derivative of -n**6/15 + 11*n**5/5 - 97*n**4/6 - 88*n**3 - 144*n**2 - 153*n - 42. Let k(u) be the first derivative of t(u). Factor k(y).
-2*(y - 12)**2*(y + 1)**2
Suppose 6*g = 12*g + 900. Let l = -148 - g. Determine i so that 0 - 15/4*i**3 - 25/2*i**l - 15/4*i = 0.
-3, -1/3, 0
Suppose -5*y + 4*k = -8 + 20, -3*k = y - 9. Suppose -j - p + 3 = y, 25 - 10 = 2*j + 5*p. Factor 2/3*q + 1/3*q**3 + j + q**2.
q*(q + 1)*(q + 2)/3
Determine z, given that 26/3*z + 88/3 + 1/3*z**2 = 0.
-22, -4
Factor 1247/5*k - 1/5*k**2 + 1248/5.
-(k - 1248)*(k + 1)/5
Let n(x) = -16*x**2 - 442*x + 170. Let p be n(-28). Factor 0 - 5/3*r**3 - p*r**2 - 1/3*r**4 + 0*r.
-r**2*(r + 2)*(r + 3)/3
Let t = -7782 + 7782. Let x(p) be the first derivative of 2/3*p**3 - p**2 - 10 + t*p. Solve x(l) = 0 for l.
0, 1
Let i = 463 - 446. Suppose q - 3*q + 2*c - 2 = 0, -q + 5*c - i = 0. What is h in 12/17*h**2 + 0*h - 2/17*h**q - 64/17 = 0?
-2, 4
Let i(s) be the first derivative of -256*s + 23 + 32*s**2 - 16*s**4 + 84*s**3 + 4/5*s**5. Factor i(h).
4*(h - 8)**2*(h - 1)*(h + 1)
Let m be 137530/(-136) + 0/1. Let o = -1010 - m. Determine d, given that -o*d**3 - 5*d**2 + 0 + 25/4*d = 0.
-5, 0, 1
Let r(t) be the second derivative of -3*t**5/40 - 5*t**4/8 + t**3/4 + 15*t**2/4 - 211*t + 2. Let r(q) = 0. Calculate q.
-5, -1, 1
Suppose -8*s = -3*s + 4*g - 7, -3 = -3*s - 3*g. Factor 36*v + 4 + 12 + 5*v**3 + 14*v**3 - 66*v**2 - 5*v**s.
2*(v - 4)*(v - 1)*(7*v + 2)
Suppose 3*d + 5*k - 400 = 0, k + 0*k = 3*d - 388. Suppose -28*h**5 - 186*h**4 + 70*h**4 + 41*h**5 - 27*h**5 - 28*h**2 - d*h**3 = 0. What is h?
-7, -1, -2/7, 0
Let z(r) be the second derivative of -r**4 + 26*r**3/3 + 20*r**2 - 515*r. Factor z(i).
-4*(i - 5)*(3*i + 2)
Let c(b) be the second derivative of b**4/90 - 70*b**3/9 + 6125*b**2/3 - 6*b - 281. Factor c(s).
2*(s - 175)**2/15
Suppose 3012*p - 3011*p + 7 = l, p - 3*l = -27. Factor -10/9 + 2/9*g**p - 2/9*g + 10/9*g**2.
2*(g - 1)*(g + 1)*(g + 5)/9
Let x(z) = 4*z**3 + 1282*z**2 + 104927*z - 326505. Let v(g) = -2*g**3 - 642*g**2 - 52464*g + 163260. Let h(a) = -13*v(a) - 6*x(a). Factor h(i).
2*(i - 3)*(i + 165)**2
Let f(l) = -l + 1. Let v(i) = -30*i**3 + 79 - 67 + 60*i**2 + 5*i**4 + 0*i**4 - 47*i. Let s(o) = -3*f(o) - v(o). Let s(t) = 0. Calculate t.
1, 3
Factor -3/2*t**3 - 48*t + 99/2*t**2 + 0.
-3*t*(t - 32)*(t - 1)/2
Let j = 254953 + -254951. Factor -4/9*d - 2/9*d**4 + 2/3*d**j + 0*d**3 + 0.
-2*d*(d - 1)**2*(d + 2)/9
Let p(w) be the second derivative of 0*w**3 + 0*w**2 - 2 - 1/2*w**4 + 1/30*w**5 - 159*w. Factor p(k).
2*k**2*(k - 9)/3
Let v(n) be the second derivative of n**4/28 + 15*n**3/2 + 156*n**2/7 + 746*n. Solve v(s) = 0 for s.
-104, -1
Let q = 1112077892/1667725995 + 168/238895. Let u = -2/2327 + q. Determine m so that 0 - u*m - 2/3*m**3 - 4/3*m**2 = 0.
-1, 0
Let x(r) be the second derivative of -2 - 60*r - 4/3*r**2 + 4/9*r**3 - 1/30*r**5 + 1/18*r**4. Find o, given that x(o) = 0.
-2, 1, 2
Suppose -3 = -3*u - 21. Let k(v) = v**3 + 5*v**2 - 9*v - 14. Let g be k(u). Solve 11*t**3 + 11*t**3 + 1 - 7*t**2 + 6*t**g + t - 23*t**3 = 0 for t.
-1, -1/3, 1/2, 1
Let i(t) = 5*t**2 + 225*t - 210. Let k(w) = -w**2 - 32*w + 30. Let m(l) = -l**3 + 2*l**2 + 5*l + 9. Let j be m(4). Let y(q) = j*i(q) - 20*k(q). Factor y(c).
5*(c - 6)*(c - 1)
Let f(h) be the first derivative of 90*h**2 + 50/3*h**3 + 162*h - 6. Let f(j) = 0. Calculate j.
-9/5
Find i, given that -41*i**3 - 36975 - 50983 - 887*i**2 + 19*i**3 + 21*i**3 - 108291 - 197135*i = 0.
-443, -1
Let f(v) be the third derivative of 0*v**3 + 0 + 2*v + 1/300*v**5 - 20*v**2 + 1/24*v**4. Let f(i) = 0. Calculate i.
-5, 0
Let p(c) be the third derivative of c**5/270 + 505*c**4/108 - 506*c**3/27 - 2921*c**2. Find u such that p(u) = 0.
-506, 1
Let t(u) be the third derivative of -u**6/200 + 18*u**5/25 - 216*u**4/5 + 6912*u**3/5 + 180*u**2 - 4. Suppose t(q) = 0. What is q?
24
Let g(w) be the second derivative of -w**6/120 + 11*w**5/16 + 29*w**4/8 - 11831*w. Find f such that g(f) = 0.
-3, 0, 58
Let i(x) be the first derivative of x**7/1575 - x**6/300 + x**5/225 - 47*x**2/2 + 47. Let b(t) be the second derivative of i(t). Factor b(l).
2*l**2*(l - 2)*(l - 1)/15
Let i(o) = o**4 - o**3 + 5*o**2 - o + 7. Let c(z) = 2*z**4 + 6*z**3 + 29*z**2 - 39*z - 19. Let y(u) = -2*c(u) + 6*i(u). Solve y(r) = 0 for r.
-2, -1, 2, 10
Factor 49/2 + 13/4*k**3 + 163*k**2 + 737/4*k.
(k + 1)*(k + 49)*(13*k + 2)/4
Let f = -16548 + 16552. Solve -39/5*p**2 + 0 - 3/5*p**f + 18/5*p + 24/5*p**3 = 0 for p.
0, 1, 6
Factor 27/2*k + 0 - 6*k**2 - 3/8*k**3.
-3*k*(k - 2)*(k + 18)/8
Let i(m) be the second derivative of -4*m**6/3 + 13*m**5/4 + 5*m**4/2 + 485*m + 3. Determine s so that i(s) = 0.
-3/8, 0, 2
Let h = 1/170574 + 4738/28429. Factor 1/2*c**3 - 23/6*c**2 - 7/3 + 11/2*c + h*c**4.
(c - 2)*(c - 1)**2*(c + 7)/6
Suppose -5*k - 13 = -148. Find x, given that -11*x**2 + 15*x - 54*x + x**3 + 36*x**2 + k - 14*x = 0.
-27, 1
Let g be -1*(-25)/10*16/10. Let o(l) = 2 + g + 16*l + 10*l**2 - 6*l - 12*l. Let a(b) = 11*b**2 - b + 7. Let u(r) = -6*a(r) + 7*o(r). Factor u(n).
4*n*(n - 2)
Let v(z) be the second derivative of z**5/360 - z**4/16 + 2*z**3/9 - 56*z**2 - 140*z. Let q(a) be the first derivative of v(a). Solve q(p) = 0 for p.
1, 8
Let h = -54509/12 + 13628/3. Let s(m) be the second derivative of 2/9*m**3 + 34*m + 7/90*m**6 + 1/126*m**7 + 0*m**2 + 13/36*m**4 + 0 + h*m**5. Factor s(u).
u*(u + 1)**3*(u + 4)/3
Let q be (-20)/5 + -1 - -15. Let u = 35 + q. Determine h so that u*h - 32 - 50*h**3 + 5*h**5 + 10*h**2 + 52*h**4 + 7 - 37*h**4 = 0.
-5, -1, 1
Let x(v) be the third derivative of 1/60*v**6 - 3/5*v**5 + 0*v - 22*v**2 + 9*v**4 + 0 - 72*v**3. Factor x(t).
2*(t - 6)**3
Let g(b) be the third derivative of -19*b**9/9072 + b**8/2520 - 16*b**3/3 - 32*b**2. Let p(r) be the first derivative of g(r). Find c, given that p(c) = 0.
0, 2/19
Suppose -185*c**2 - 5/3*c**3 + 375*c - 565/3 = 0. What is c?
-113, 1
Let d = -120 - -64. Let a = 58 + d. Factor -m**4 - 3*m**3 - 2*m**2 - 7*m**5 - m**a + 10*m**5 + 4*m**4.
3*m**2*(m - 1)*(m + 1)**2
Let k be (8*105/147)/(4/42). Suppose -43*z = -33*z - k. Factor 9 + z*n**2 - 33/2*n + 3/2*n**3.
3*(n - 1)**2*(n + 6)/2
Factor -164/11 + 15*u - 1/11*u**2.
-(u - 164)*(u - 1)/11
W