 -1082. Let 0*v - 1/2*v**i + 0 = 0. What is v?
0
Let p(s) = 26*s + 208. Let r be p(-8). Let j(o) be the second derivative of 0 + 0*o**4 - 6*o + r*o**2 - 1/100*o**5 + 0*o**3. Factor j(d).
-d**3/5
Let u be 2/5 + (-57)/(-20). Let t be 25/(-10)*483/(-805). What is o in u*o**2 + 1/4*o**4 - 3*o - t*o**3 + 1 = 0?
1, 2
Solve 2*o**3 - 23*o**3 + 31*o**3 + 14*o + 26*o**2 - 2*o**4 = 0.
-1, 0, 7
Let a(h) be the first derivative of 2*h**3/27 + 5*h**2/9 + 4*h/3 - 119. Suppose a(t) = 0. Calculate t.
-3, -2
Let c = -3945103610 + 78724542611191/19955. Let f = c + 3/1535. Factor -42/13*z**2 - f*z - 8/13 + 98/13*z**3.
2*(z - 1)*(7*z + 2)**2/13
Let y(w) = -3*w**2 - 3*w + 11. Let n(h) = -2*h**2 - h + 6. Suppose -90 = 5*m + 10*m. Let o(v) = m*y(v) + 10*n(v). Let o(c) = 0. What is c?
1, 3
Let r(n) be the second derivative of -17*n + 0 - 2/5*n**5 - 1/3*n**4 + 0*n**2 - 2/15*n**6 + 0*n**3. Find g, given that r(g) = 0.
-1, 0
Let w(x) be the second derivative of x**7/70 + x**6/8 + x**5/5 - 13*x**2/2 + 13*x. Let j(m) be the first derivative of w(m). Solve j(g) = 0 for g.
-4, -1, 0
Suppose 9*k = 5*k + 72. Suppose 12*r - 3*r - k = 0. Factor -1/4*m**r - 1/4 + 1/2*m.
-(m - 1)**2/4
Let u = -2068 - -55838/27. Let t(l) be the first derivative of 0*l + u*l**3 + 0*l**2 + 8. Factor t(z).
2*z**2/9
Let f(o) = 16*o**2 - 150*o + 155. Let r(u) = 7*u**2 - 75*u + 77. Let k(w) = 6*f(w) - 14*r(w). What is g in k(g) = 0?
1, 74
Let b(c) be the first derivative of c**2/2 - c + 9. Let l(x) = -7*x**2 + 8*x + 8. Let t(q) = 4*b(q) + l(q). Factor t(p).
-(p - 2)*(7*p + 2)
Suppose 0 = -3*v + 2*r + 13, -3*r = -4*v - 7*r + 4. Let n(k) = k - 3. Let w be n(5). Determine z so that z**2 + 0*z + z**v - w*z + 0*z**2 = 0.
-2, 0, 1
Suppose 80*u - 64 = 72*u. Suppose -77 + 93 = u*b. Let 159/2*m**b + 6 - 30*m**3 - 42*m = 0. Calculate m.
1/4, 2/5, 2
Let l(z) be the second derivative of z**4 - 2*z - 10/3*z**3 - 2/15*z**6 + 4*z**2 + 1/5*z**5 + 0. Solve l(i) = 0.
-2, 1
Let c(t) = -64*t**3 + t**2 + 4*t + 3. Let k be c(-1). Suppose -36*n + 20*n = -k. Suppose n*i**3 + 16*i - 2/5*i**4 - 32/5 - 66/5*i**2 = 0. What is i?
1, 4
Find d, given that 7 - 14*d**2 - 12*d - 17 + 12*d**2 = 0.
-5, -1
Let b = 13543 + -13540. Factor 0*q**b + 2 - 2/3*q**4 + 16/3*q + 4*q**2.
-2*(q - 3)*(q + 1)**3/3
Suppose -30 = 13*h - 28*h. Factor -2/15*s + 0 - 2/15*s**h.
-2*s*(s + 1)/15
Determine y so that 1968*y + 10170*y**3 + 6696*y**2 + 216 + 1125/2*y**5 + 12225/2*y**4 = 0.
-9, -2/3, -2/5
Let c(x) = -2*x**3 + 34*x**2 - 76*x + 56. Let b(t) = 2*t**3 - 32*t**2 + 75*t - 55. Let j(r) = 6*b(r) + 5*c(r). Suppose j(k) = 0. Calculate k.
1, 5
Let w(j) be the third derivative of -16*j**2 - 1/24*j**6 + 0*j - 1/6*j**5 + 0*j**3 + 0 + 5/8*j**4. Suppose w(l) = 0. What is l?
-3, 0, 1
Suppose -8 = -p + c + 4*c, -3*p + 24 = -c. Let m = p - 6. Determine h, given that -2*h**3 + 2*h**2 + 3*h**3 + 0*h**m + 5*h - 4*h = 0.
-1, 0
Suppose 15 = -3*b - 2*v, v + 14 = 5*b + 52. Let g be ((-264)/11)/(1/b). Let 168*u - u**2 - u**3 - g*u = 0. Calculate u.
-1, 0
Let t be 6*2/36*21. Find x such that 18*x - t*x**5 - 10*x**5 + x**3 + 51*x**2 + 2*x**5 - 4*x**3 - 51*x**4 = 0.
-3, -1, -2/5, 0, 1
Let h(k) be the third derivative of -k**5/15 + 19*k**4/6 + 40*k**3/3 - 59*k**2 + 5*k. Factor h(w).
-4*(w - 20)*(w + 1)
Let t be (-6 - (-38)/5)*((-59)/14 + 6). Factor 2/7*m**5 - t + 46/7*m - 16/7*m**3 - 20/7*m**2 + 8/7*m**4.
2*(m - 1)**3*(m + 2)*(m + 5)/7
Suppose 2*b - 2*y - 54 = 0, b - 2*b + 7 = 3*y. Let t(m) = -m**2 + 1. Let l(s) = -13*s**2 + 2*s + 23. Let o(q) = b*t(q) - 2*l(q). Factor o(r).
4*(r - 3)*(r + 2)
Let h(b) = -2*b**4 + 4*b**3 + 8*b**2 + 4*b - 2. Let i(d) = -19*d + 12*d**4 + 7*d**4 + 11 - 39*d**2 - 21*d**3 - 9*d**4. Let f(l) = 22*h(l) + 4*i(l). Factor f(k).
-4*k*(k - 3)*(k + 1)**2
Factor 12/7*g**2 - 33/7*g - 9/7.
3*(g - 3)*(4*g + 1)/7
Let t(s) be the first derivative of -s**4/14 - 12*s**3/7 - 33*s**2/7 + 968*s/7 - 348. Find d, given that t(d) = 0.
-11, 4
Let y(d) = d**3 - d**2 - 1. Let k(z) = -3*z**4 + 6*z**3 + 4*z**2 + 3*z - 7. Let r(v) = k(v) - 5*y(v). Solve r(j) = 0.
-1, 1/3, 2
Let b(r) = 7*r**3 + 310*r**2 + 8108*r - 17496. Let m(c) = -57*c**3 - 2478*c**2 - 64866*c + 139968. Let u(w) = -33*b(w) - 4*m(w). Factor u(o).
-3*(o - 2)*(o + 54)**2
Let x(n) be the second derivative of 1/2*n**5 + 0 + 5/2*n**2 - 1/6*n**6 - 2*n + 0*n**4 - 5/3*n**3. Let x(k) = 0. What is k?
-1, 1
Let z(t) be the second derivative of -3*t**5/50 + t**4/20 + t**3/2 + 3*t**2/5 - 291*t. Find s such that z(s) = 0.
-1, -1/2, 2
What is r in -1/3*r**2 + 11/3*r - 10/3 = 0?
1, 10
Let d = -1184/9 - -132. Let z(g) be the first derivative of -d*g + 2/27*g**3 - 3 + 1/9*g**2. Find i, given that z(i) = 0.
-2, 1
Let k(t) be the second derivative of -t**10/211680 - t**9/35280 + t**7/4410 + t**4/6 - 4*t**2 - 22*t. Let f(d) be the third derivative of k(d). Factor f(u).
-u**2*(u - 1)*(u + 2)**2/7
Let b(j) = -76*j + 11. Let k be b(-3). Let n = k - 236. Factor -1/6*w**n + 1/2*w + 0*w**2 + 1/3.
-(w - 2)*(w + 1)**2/6
Let w be 4/(-14) - 0 - 253/(-77). Factor 107*s - 7 - 116*s**2 - 65 + 49*s + 36*s**w - 4*s**4.
-4*(s - 3)**2*(s - 2)*(s - 1)
Let c = 0 + 5. Suppose -c*n + 2 = -4*n. Factor 3*i**2 + 0*i**n - 5*i**2.
-2*i**2
Suppose i = -5*p + 15, i = -9*p + 13*p - 3. Let u(g) be the second derivative of 2*g**p + 0*g**3 + 0 + 4*g - 1/3*g**4. Factor u(l).
-4*(l - 1)*(l + 1)
Let s(d) be the first derivative of 0*d - 1/2*d**2 - 2*d**3 - 9/4*d**4 - 1. Solve s(x) = 0.
-1/3, 0
Let h(k) be the second derivative of 1/2*k**2 + 7*k - 1/48*k**4 + 0 + 1/8*k**3. Factor h(t).
-(t - 4)*(t + 1)/4
Factor 5/2*h**4 + 0*h**3 + 0*h + 0 - 10*h**2.
5*h**2*(h - 2)*(h + 2)/2
Factor 6*c - 6/7*c**2 - 60/7.
-6*(c - 5)*(c - 2)/7
Let m = 617527/120 - 5146. Let p(b) be the second derivative of 0*b**2 + 0 + m*b**6 - 1/3*b**4 + 1/16*b**5 + 1/6*b**3 - 8*b. Factor p(g).
g*(g - 1)*(g + 2)*(7*g - 2)/4
Let b(q) = -2*q**2 + 46*q - 24. Let p(k) = -k**2 + 22*k - 13. Let d(j) = -4*b(j) + 10*p(j). Factor d(f).
-2*(f - 17)*(f - 1)
Let z(g) = g**2 + 10*g + 13. Let l be z(-9). Suppose -4*h + l*m - 12 = 0, -2*h + 5*m - 2*m = 11. Determine t so that -2 + 6*t - h*t**3 - 3 + 4 + 5 = 0.
-1, 2
Find h, given that -54/13*h**2 - 48/13*h**3 - 20/13*h + 0 - 14/13*h**4 = 0.
-10/7, -1, 0
Let g(u) = 2*u**2 - u. Let z be 6/(-9) + (-102)/(-18). Let v(l) = -3*l**2 + 2*l. Let y(s) = z*v(s) + 7*g(s). Factor y(q).
-q*(q - 3)
Factor 0 + 2/7*k**2 - 12/7*k.
2*k*(k - 6)/7
Let n(s) = -s**4 + 3*s**3. Let m(k) = k**3 + 6*k**2 + 8*k - 4. Let b be m(-4). Let j(i) = 2*i**4 - 3*i**3. Let t(q) = b*j(q) - 5*n(q). Factor t(l).
-3*l**3*(l + 1)
Let a(o) = 16*o**2 - 2*o - 1. Let f be a(-1). Suppose 3*s - 3 = -j + 6, 0 = 5*j + s - f. Determine i so that -3*i - i**3 - 2 + 4*i**j + 2 = 0.
-1, 0, 1
Let w(p) be the second derivative of -1/120*p**6 + 0*p**4 + 3/2*p**2 + 10*p + 1/60*p**5 + 0*p**3 + 0. Let c(g) be the first derivative of w(g). Factor c(f).
-f**2*(f - 1)
Factor 6/13*l**3 - 2/13*l**4 + 0*l + 0 - 4/13*l**2.
-2*l**2*(l - 2)*(l - 1)/13
Suppose -32 = -3*y - 158. Let f be (-9)/y*4/1. Factor -f*h - 2/7*h**3 + 6/7*h**2 + 2/7.
-2*(h - 1)**3/7
Let n(p) = 2*p**3 - 2*p**2 - 8*p + 40. Let g(k) = k**2 - k + 5. Let m(h) = 8*g(h) - n(h). Let m(z) = 0. What is z?
0, 5
Let m(v) = 11*v**4 - v**3 + 2*v**2 - 6*v + 6. Let q(d) = -d**4 - d**3 + d - 1. Let s(p) = -m(p) - 6*q(p). Factor s(i).
-i**2*(i - 1)*(5*i - 2)
Let z(h) be the second derivative of -3*h**5/140 - 15*h**4/28 + 33*h**3/14 - 51*h**2/14 + 21*h - 3. Factor z(i).
-3*(i - 1)**2*(i + 17)/7
Suppose 0*v - 4 = -2*v. Suppose 0 = -c - 2, -5*t = -0*t + v*c - 11. Determine s, given that -s**2 - t + 3 = 0.
0
Let s be -10*(-28)/280*(3 + -1 - -2). Solve 2*j**2 + 28/5*j - 3*j**s + 8/5 - 31/5*j**3 = 0.
-2, -2/3, -2/5, 1
Let d be -1 - 8 - -3 - 506/(-84). Let j(s) be the second derivative of 7*s - 16/7*s**2 - d*s**4 + 0 - 8/21*s**3. Determine r, given that j(r) = 0.
-4
Suppose -77 = 4*j - 85. Factor 2/7*l**4 + 0*l - 4/7*l**3 + 0 + 0*l**j.
2*l**3*(l - 2)/7
Let k(n) = -n**2 - 52*n - 51. Let z(l) = l**2 + 103*l + 102. Let s(o) = 5*k(o) + 2*z(o). Factor s(c).
-3*(c + 1)*(c + 17)
Let p be -1 - 4/5 - (-68265)/33300. Factor -1/2*h**4 - p*h**5 + 1/4*h + 0 + 0*h**3 + 1/2*h**2.
-h*(h - 1)*(h + 1)**3/4
Let n(z) be the second derivative of -z**7/336 + 2*z**6/15 - 7*z**5/40 - 49*z**4/48 + 157*z**3/48 - 3