that -1/5*o**h + 12/5*o - 36/5 = 0.
6
Suppose -3/4*l + 9/8*l**2 - 1/8*l**3 - 2 = 0. Calculate l.
-1, 2, 8
Solve -1/2 - 5/8*w**2 - 1/8*w**3 - w = 0.
-2, -1
Let r(t) be the third derivative of -t**6/660 - t**5/66 + t**4/22 - 96*t**2. Factor r(g).
-2*g*(g - 1)*(g + 6)/11
Let c(u) be the second derivative of 85*u**4/12 + 145*u**3/3 - 100*u**2 + 133*u. Suppose c(f) = 0. Calculate f.
-4, 10/17
Let g(w) be the third derivative of -w**7/10 + 59*w**6/60 + 59*w**5/60 - 17*w**4/6 + 2*w**3 + 43*w**2. Let g(h) = 0. What is h?
-1, 2/7, 1/3, 6
Let x(u) be the first derivative of u**6/6 + 4*u**5/5 + 5*u**4/4 + 2*u**3/3 - 17. Factor x(g).
g**2*(g + 1)**2*(g + 2)
Let h be 38/152 + (-4)/(-16)*(3 - -4). Determine d, given that 0 + 0*d + 1/5*d**3 - 1/5*d**h = 0.
0, 1
Let k be (2/(-15))/(132/264*(-2)/5). Let -2/3*i**4 + k*i**2 + 0 + 2/3*i**5 + 0*i - 2/3*i**3 = 0. Calculate i.
-1, 0, 1
Let g be 2872/32 + 6/(-8). Find r, given that -43 - 7*r + g - 48 + 9*r**2 = 0.
-2/9, 1
Suppose 5*j = -19 - 26. Let n(r) = -r**4 - 4*r**3 - 7*r**2 + 4*r. Let p(w) = 3*w**4 + 9*w**3 + 15*w**2 - 9*w. Let h(b) = j*n(b) - 4*p(b). Factor h(s).
-3*s**2*(s - 1)*(s + 1)
Factor -51/4*i**2 + 0 + 3/8*i**3 + 867/8*i.
3*i*(i - 17)**2/8
Factor -17/3*f**2 + 35/3*f**3 + 4/3 + 5/3*f**5 - 4/3*f - 23/3*f**4.
(f - 2)*(f - 1)**3*(5*f + 2)/3
Let q(d) = d**2 - 5*d - 3. Let z be (-9)/6*(0 + (3 - 1)). Let u(j) = j**2 - 6*j - 4. Let f(b) = z*u(b) + 4*q(b). Let f(t) = 0. Calculate t.
0, 2
Let s = -7876 + 7878. Let 2/17*g**4 + 0 + 10/17*g**s - 4/17*g - 8/17*g**3 = 0. What is g?
0, 1, 2
Factor -2/9*n**2 - 4/9 - 2/3*n.
-2*(n + 1)*(n + 2)/9
Let b(l) = l**5 + l**4 + l**3 - l**2 + l. Let q(d) = d**5 + 17*d**4 - 19*d**3 + 7*d**2 + 3*d. Let z(w) = 6*b(w) - 2*q(w). Factor z(x).
4*x**2*(x - 5)*(x - 1)**2
Let l(k) = k**2 - 1. Let o(m) = 4*m**2 - 8*m - 8. Let h be (-5)/(5/3) + 4. Let y be h + 0*(0 - -1). Let g(s) = y*o(s) - 8*l(s). Factor g(r).
-4*r*(r + 2)
Suppose -2*n - 2*n = -5*k - 129, -5*n + 5*k + 160 = 0. Find r such that -n*r + 17*r + 32*r + 3*r**2 = 0.
-6, 0
Let f(r) be the second derivative of -r**5/40 - 131*r**4/72 - 53*r**3/9 - 7*r**2 - 245*r. Suppose f(p) = 0. Calculate p.
-42, -1, -2/3
Let c(j) be the third derivative of 1/24*j**4 + 0*j + 31*j**2 + 0 - 1/45*j**5 + 0*j**3 + 1/360*j**6. Factor c(o).
o*(o - 3)*(o - 1)/3
Let i(q) be the third derivative of -15/2*q**3 + 0*q + 0 - 1/12*q**5 - 5/4*q**4 - 3*q**2. What is a in i(a) = 0?
-3
Let o = 12 + -10. Suppose -5*q + 4*k = -2, o*k = 3*q + q - 4. Find p such that q + 8*p**2 + 16*p - 6*p**2 + 12*p**2 = 0.
-1, -1/7
Factor 9*z**2 - 9*z**3 + 41 - 25 - 16 - 3*z + 3*z**4.
3*z*(z - 1)**3
Let p(w) be the third derivative of w**8/1120 + w**7/560 - w**6/80 - w**5/80 + w**4/8 + w**3/2 + 4*w**2. Let i(u) be the first derivative of p(u). Factor i(m).
3*(m - 1)**2*(m + 1)*(m + 2)/2
Let s = 4 + 1. Let c(b) = b**3 - 5*b**2 - 5*b - 3. Let z be c(6). Factor z*o**2 - o + s*o - 3 - 4*o.
3*(o - 1)*(o + 1)
Suppose 0 = -10*b - 3 - 17. Let h be b/(-11)*(6 - 5). Factor 12/11*z**2 + 16/11 + h*z**3 + 24/11*z.
2*(z + 2)**3/11
Let c(z) be the second derivative of 5/12*z**4 + 0*z**2 + 5/3*z**3 + 13*z + 0. Solve c(y) = 0.
-2, 0
Let m be ((-288)/1296)/(-2 + 42/27). Suppose 1/2*f**4 - 1/2*f**2 + 1/2*f + 0 - m*f**3 = 0. What is f?
-1, 0, 1
Let w be (2/6)/((-1)/(-36)). Factor 11 + 1 - 21 + w*u - 3*u**2.
-3*(u - 3)*(u - 1)
Let o be (35/(-10) - -2)/((-6)/32). Suppose o*v - 3*v - 2*f - 18 = 0, -v + 6 = -f. Factor 0*w**v + 1/4*w**4 + 1/2*w**3 + 0 + 0*w.
w**3*(w + 2)/4
Let u(q) be the first derivative of -q**3/15 - 81*q**2/5 - 6561*q/5 - 880. Suppose u(g) = 0. What is g?
-81
Let u(z) be the third derivative of -z**6/120 + z**5/50 - z**4/120 - 78*z**2. Suppose u(j) = 0. What is j?
0, 1/5, 1
Suppose 5*q + 4*u = 3*q - 8, -15 = -3*q + 3*u. What is c in 2*c - 4/9*c**3 + 0 - 8/3*c**q + 8/9*c**4 + 2/9*c**5 = 0?
-3, 0, 1
Find w, given that -170/7*w + 0 + 2/7*w**4 - 338/7*w**2 - 166/7*w**3 = 0.
-1, 0, 85
Let y = 6497 + -6495. Factor 12/7*r + 0 - 4/7*r**y.
-4*r*(r - 3)/7
Let b(l) be the second derivative of -l**5/60 + 17*l**4/36 - 8*l**3/9 - 11*l + 15. Let b(v) = 0. Calculate v.
0, 1, 16
Let c = -3386 - -3388. Suppose 1/4*p - 1/2*p**3 + 1/2*p**c - 1/4 - 1/4*p**4 + 1/4*p**5 = 0. Calculate p.
-1, 1
Let a = 13983/11 - 1271. Suppose a*p**3 - 16/11 + 4/11*p**2 - 8/11*p = 0. Calculate p.
-2, 2
Let f(i) be the third derivative of i**6/8 - 19*i**5/12 + 55*i**4/8 - 15*i**3/2 + 46*i**2. Let f(x) = 0. What is x?
1/3, 3
Let l(o) be the third derivative of o**7/840 - 11*o**6/480 - 13*o**5/240 + 11*o**4/96 + o**3/2 + 2*o**2 + 97*o. Let l(y) = 0. Calculate y.
-1, 1, 12
Suppose -2*g - 2 = 2. Let c(b) = -2*b - 2. Let q be c(g). Factor -31 + 31 + 2*v**5 + q*v - 4*v**3.
2*v*(v - 1)**2*(v + 1)**2
Let b(f) be the second derivative of -f**7/84 + 4*f**6/15 - 39*f**5/20 + 14*f**4/3 - 49*f**3/12 - 33*f + 4. Suppose b(i) = 0. Calculate i.
0, 1, 7
Factor -22*w**5 - 9*w**4 + 21*w**5 + 374*w**3 - 364*w**3.
-w**3*(w - 1)*(w + 10)
Suppose -w + 24 = -2*i, 152 = 5*w - 4*i + 26. Let k be -14*(-6)/39 - 4/w. Factor -6/5 - 3/5*j**k + 9/5*j.
-3*(j - 2)*(j - 1)/5
Let o be (-18)/(-3) - (-329)/(-94). Factor o*n + 0 - 5/2*n**2.
-5*n*(n - 1)/2
Let t(n) be the first derivative of -5*n**7/42 - n**6/3 + 19*n + 22. Let u(x) be the first derivative of t(x). Find i, given that u(i) = 0.
-2, 0
Let q be (-10 - -3 - -23 - 4) + -8. Let -2/3 + 1/3*v - 1/3*v**3 - 1/3*v**q + v**2 = 0. Calculate v.
-2, -1, 1
Factor 0 - 1/5*o**2 + 1/5*o**4 + 0*o**3 + 0*o.
o**2*(o - 1)*(o + 1)/5
Let w(c) be the third derivative of -1/90*c**6 + 0*c**4 - 1/315*c**7 + 0 + 0*c**3 + 13*c**2 + 0*c**5 + 0*c. Factor w(u).
-2*u**3*(u + 2)/3
Let j(i) be the second derivative of -i**8/16800 + i**6/1800 - i**4 - 12*i. Let q(a) be the third derivative of j(a). Let q(t) = 0. Calculate t.
-1, 0, 1
Let t(v) = v**2 + v + 1. Suppose 14*f + 11 + 17 = 0. Let o(q) = 12*q**2 + 16*q + 14. Let d(n) = f*o(n) + 20*t(n). Factor d(r).
-4*(r + 1)*(r + 2)
Suppose -128*a + 588 = -44*a. Let r = 6961/5 - 1385. Find z, given that -3*z - a*z**3 - 2/5 - r*z**2 - 12/5*z**4 = 0.
-1, -2/3, -1/4
Let t(p) be the second derivative of -p**7/14 - 5*p**6/2 + 33*p**5/2 - 85*p**4/2 + 115*p**3/2 - 87*p**2/2 + 2*p - 149. Let t(b) = 0. What is b?
-29, 1
Let o(a) = a - 4. Let s be o(6). Let g be ((-126)/12 - -7)*258/(-21). Solve 5*f**5 - g*f**2 + 30*f**3 + 5*f - 20*f**4 - f**2 + 24*f**s = 0 for f.
0, 1
Let m(v) be the first derivative of 4*v**5/5 - 8*v**4 + 28*v**3 - 44*v**2 + 32*v - 76. Let m(y) = 0. What is y?
1, 2, 4
Let r be (9 - 11)*1454/(-12). Let w = r + -239. Solve -10/3*g**2 + w*g**3 + 1/3*g**5 + 5/3*g - 5/3*g**4 - 1/3 = 0 for g.
1
Suppose 5*w - 5*b - 190 = 0, -2*w - 4*b + 29 = -29. Let d = -31 + w. Let 1/2*x**d + 1/2 + 3*x**2 + 2*x**3 + 2*x = 0. Calculate x.
-1
Let g(i) be the first derivative of i**4/16 + i**3/16 + 34*i - 19. Let l(h) be the first derivative of g(h). Factor l(f).
3*f*(2*f + 1)/8
Let b(a) = -a**2 + 7*a - 6. Let r be b(6). Suppose r*c = -5*c - 5. Let m(j) = -2*j**2 + 10*j. Let z(u) = -u. Let f(v) = c*m(v) - 8*z(v). Solve f(o) = 0 for o.
0, 1
Let z(j) be the first derivative of -j**6/21 + 2*j**5/7 - 3*j**4/7 - 4*j**3/21 + j**2 - 6*j/7 - 183. Solve z(a) = 0 for a.
-1, 1, 3
Suppose 5*s + 25 + 10 = 0. Let a be (2 + 72/(-28))*s. Let 8*h**4 + 8*h**3 + 6*h**a - 18*h**2 + 6 - 6*h**4 - 2 - 2*h = 0. What is h?
-2, -1/2, 1/2, 1
Let s be (0 - (-4)/(-10)) + (-2214)/(-4860). Let p(q) be the third derivative of -s*q**3 + 1/360*q**5 + 0*q + 0 - 1/144*q**4 + 9*q**2. Let p(j) = 0. What is j?
-1, 2
Let o = -6/85 + 52/255. Determine s so that -o*s**2 - 4/15 + 2/5*s = 0.
1, 2
What is d in -d**3 + 31*d + 21/2*d**2 - 1/2*d**4 + 20 = 0?
-4, -2, -1, 5
Let z(m) = 3*m**3 - 60*m**2 + 111*m - 30. Let k(h) = 3*h**3 - 60*h**2 + 111*h - 34. Let u(n) = -6*k(n) + 5*z(n). Find p, given that u(p) = 0.
1, 18
Let a(g) be the first derivative of 1 + 1/3*g**3 - 3/2*g**2 + 0*g. Suppose a(q) = 0. Calculate q.
0, 3
Let v be (-2)/4*(0 - 16). Suppose 2*q - r - v = -0*r, -5*q + 4*r + 26 = 0. Factor 5*c**q - 13*c**2 + 9*c**2 + 3*c**2.
4*c**2
Let w(s) = 2*s**2 - 11*s + 4. Let a be w(6). Suppose 5*o = a, 3*f + 2*f - o - 8 = 0. Factor 4/5*q**f + 6/5*q - 4/5.
2*(q + 2)*(2*q - 1)/5
Let y = 36 + -34. Let j be 6/14*2*y/6. Solve 2/7*a**2 + 1/7*a**3 - 1/7*a - j = 