k(b) = 0.
0, 1
Suppose 26 + 9 = p. Let f be 4/(-10)*p/(-28). Factor -1/2*d**3 + 0 + 0*d + 5/2*d**4 - 3/2*d**5 - f*d**2.
-d**2*(d - 1)**2*(3*d + 1)/2
Factor 18*m**2 + 7 - 15*m - 3*m - 9*m + 3 - 3*m**3 + 2.
-3*(m - 4)*(m - 1)**2
Let u be 2/108*9*(-84)/(-21). Factor -2/3*y**2 + 4/3 + u*y.
-2*(y - 2)*(y + 1)/3
Let i(g) = -4*g**2 - 130*g - 2. Let o(u) = 8*u**2 + 259*u + 5. Let c(j) = 5*i(j) + 2*o(j). Factor c(s).
-4*s*(s + 33)
Factor 0*r**4 + 7*r**2 - 8*r**4 - 4*r**5 + 6*r**5 + 10*r**3 - 11*r**2.
2*r**2*(r - 2)*(r - 1)**2
Let s(j) = -j**3 - 4*j**2 + 1. Let a(h) = 60*h**2 + 55*h - 95. Let g(l) = -a(l) - 5*s(l). Factor g(q).
5*(q - 9)*(q - 1)*(q + 2)
Suppose 2*i - 6 = 2*x, -i - 3*x + 42 = 51. Determine c, given that -1/3*c**3 + 0*c + 2/3*c**2 + i - c**4 = 0.
-1, 0, 2/3
Let a(o) be the third derivative of o**7/168 + o**6/96 - 67*o**5/48 + 475*o**4/96 + 375*o**3/4 - 184*o**2 + 2. Factor a(b).
5*(b - 5)**2*(b + 2)*(b + 9)/4
Let f(t) be the first derivative of -5*t**3/3 + 45*t**2 - 20. What is d in f(d) = 0?
0, 18
Suppose -10*y = -16*y - 6. Let a be 2/(-3) + ((-22)/(-6) - y). Let 0 - 3/4*h**2 - 3/4*h**3 + 3/4*h**a + 3/4*h = 0. What is h?
-1, 0, 1
Let m(u) be the first derivative of -u**4/8 - 19*u**3/2 - 180*u**2 + 1350*u - 381. What is l in m(l) = 0?
-30, 3
Suppose -6*z + 122 + 232 = 0. Let f = -59 + z. Suppose -2/9*k + 2/9*k**3 + 0 + f*k**2 = 0. What is k?
-1, 0, 1
Find p such that 8/3*p - 4/3*p**2 + 32 = 0.
-4, 6
Let y(m) = m**3 - 9*m**2 + 8*m + 6. Let b be y(8). Suppose 0 = -6*l + 50 + 46. Solve -11*t - 10*t**2 - 36*t**3 - 31*t + 110*t**2 - b*t - l = 0.
-2/9, 1, 2
Let f(o) be the third derivative of -o**8/1344 + o**7/1008 + o**6/72 + 2*o**5/15 + o**2. Let y(i) be the third derivative of f(i). Find m such that y(m) = 0.
-2/3, 1
Find h, given that -10/3*h**2 + 1/3*h**3 + 0 - 8*h = 0.
-2, 0, 12
Let b(o) be the third derivative of o**7/42 + 7*o**6/5 + 263*o**5/15 + 68*o**4 - 416*o**3/3 - 487*o**2. Factor b(a).
(a + 4)**2*(a + 26)*(5*a - 2)
Factor -13*t**2 - 219*t + 7*t**3 + 20 - 5*t**3 - 7*t**2 + 217*t.
2*(t - 10)*(t - 1)*(t + 1)
Suppose j - 3*j = 3*j. Factor 1/8 + 0*h**3 + j*h + 1/8*h**4 - 1/4*h**2.
(h - 1)**2*(h + 1)**2/8
Let q(i) = 3*i**4 + 15*i**3 - 11*i**2 + 7*i + 14. Let h(z) = -2*z**4 - 8*z**3 + 6*z**2 - 4*z - 8. Let y(s) = 7*h(s) + 4*q(s). Let y(k) = 0. Calculate k.
0, 1
Find u, given that 40*u + 0 - 175*u**2 - 245/2*u**3 - 25/2*u**4 = 0.
-8, -2, 0, 1/5
Let g(i) be the third derivative of 14*i**2 + 0*i**3 + 1/55*i**5 + 0*i**4 + 0 + 0*i - 1/660*i**6 - 1/1155*i**7. Factor g(d).
-2*d**2*(d - 2)*(d + 3)/11
Determine v so that 752 - 988*v - 705*v - 812*v + 617*v + 15*v**2 + 5*v**2 = 0.
2/5, 94
Let t(z) be the first derivative of -z**5/10 + 3*z**4/4 + 4*z**3/3 - 3*z**2/2 - 7*z/2 + 260. Determine u so that t(u) = 0.
-1, 1, 7
Let s(n) = -n**5 - 12*n**4 - 30*n**3 - 23*n**2 - 9*n. Let j(o) = o**5 + 12*o**4 + 30*o**3 + 22*o**2 + 9*o. Let w(k) = 5*j(k) + 6*s(k). Factor w(b).
-b*(b + 1)**3*(b + 9)
Let y(v) be the third derivative of 0*v + 0 - 10*v**2 + 1/6*v**6 + 0*v**3 - 5/12*v**5 + 5/12*v**4 - 1/42*v**7. Suppose y(q) = 0. Calculate q.
0, 1, 2
Let j = 2974/3419 - -14/263. Let h(v) = v + 2. Let n be h(0). Factor -8/13*t + j*t**n + 2/13*t**4 - 8/13*t**3 + 2/13.
2*(t - 1)**4/13
Let g(u) = 8 - 5 - 3 - u. Let w be g(-3). Solve -12*h - 2*h**3 + 11*h**w - 5*h**4 + 0*h**3 - 3*h**5 - h**4 + 12*h**2 = 0.
-2, 0, 1
Factor 10 - 31/2*z - 7/2*z**2.
-(z + 5)*(7*z - 4)/2
Let l(q) be the third derivative of 0*q**4 - 1/180*q**6 + 0*q + 6*q**2 + 0*q**3 + 1/90*q**5 + 0. Factor l(p).
-2*p**2*(p - 1)/3
Let l = -3466 + 41615/12. Let z = l - 5/3. Solve h**2 + 0*h + 0 + h**3 + z*h**4 = 0 for h.
-2, 0
Let i(g) = -16*g**3 - 496*g**2 + 3. Let b be i(-31). Suppose -1/5*u - 1/5*u**b + 6/5 - 4/5*u**2 = 0. Calculate u.
-3, -2, 1
Let z(m) = -2*m**2 + 106*m + 111. Let b be z(54). Determine q so that 1/5*q**b + 4/5*q**2 + 2/5 + q = 0.
-2, -1
Let d = -136 + 139. Let b(r) be the third derivative of 0 + 3/8*r**4 + 5*r**2 + 1/112*r**8 + 0*r**7 - 1/10*r**5 - 1/10*r**6 + 0*r + r**d. Factor b(u).
3*(u - 2)*(u - 1)*(u + 1)**3
Let b(x) be the third derivative of 5*x**8/168 - 19*x**7/105 + 13*x**6/30 - 7*x**5/15 + x**4/12 + x**3/3 + 71*x**2. Determine k, given that b(k) = 0.
-1/5, 1
Let g(u) be the second derivative of -u**5/70 + u**4/14 + 16*u**3/21 + 12*u**2/7 + 341*u. Find q, given that g(q) = 0.
-2, -1, 6
Let b(g) be the third derivative of -g**8/504 + g**7/63 + g**6/6 + 5*g**5/9 + 35*g**4/36 + g**3 + 174*g**2. Let b(x) = 0. What is x?
-1, 9
Suppose 2*j + 12 = 3*o + 25, 3*o - 17 = -4*j. Suppose -3/2*k**j + 0*k + 0 - 8/3*k**3 + 2/3*k**2 + 7/2*k**4 = 0. What is k?
0, 2/3, 1
Suppose 5*y = -4*y. Let f be -3*(-1)/(-3)*-2. Factor -p**2 - f*p + y*p - 4 + 3.
-(p + 1)**2
Let s(o) = -6*o**2 - 530*o + 356. Let w(i) = 3*i - 2. Let v(y) = -s(y) + 2*w(y). Factor v(d).
2*(d + 90)*(3*d - 2)
Let f = -72 + 74. Find o such that 3*o**2 - 10*o - 5*o**2 + 3*o**2 + 4*o**f = 0.
0, 2
Let s be (5/2)/((-60)/(-288)). Let k be (28/(-98))/(s/(-63)). What is p in p**2 + 1/2 - k*p = 0?
1/2, 1
Suppose -2/7*d + 15/7 - 1/7*d**2 = 0. What is d?
-5, 3
Let j(x) = -5*x**3 - 5*x**2 + 8*x. Let y(c) = c. Suppose -3*o - 6 + 0 = 0. Let w(a) = o*y(a) - j(a). Solve w(m) = 0 for m.
-2, 0, 1
Suppose -3*w + k - 29 + 34 = 0, -3*k = -4*w + 15. Solve w*l**4 - 3/8*l**5 + 0*l**2 + 3/4*l**3 + 0 - 3/8*l = 0 for l.
-1, 0, 1
Let h = -19 + 22. Let j be -1 + h - 2 - 0. Find l such that j*l**3 - 4*l**3 + l**3 + 4*l**3 + 2*l**2 + l = 0.
-1, 0
Let g = 987 - 985. Let d(q) be the second derivative of 1/10*q**3 + 0 + 4*q + 11/50*q**6 - 2/35*q**7 + 0*q**g - 27/100*q**5 + 1/20*q**4. Factor d(r).
-3*r*(r - 1)**3*(4*r + 1)/5
Let m be (-3)/((-20)/(-50) + 38/(-20)). Suppose x + 3*x - 32 = 0. Factor z + 6*z**m + 3*z**3 - x*z + 12 - 15*z + z.
3*(z - 1)**2*(z + 4)
Let x(s) be the third derivative of -2*s**7/315 + s**6/90 - s**5/180 + 18*s**2 - 5*s. Factor x(q).
-q**2*(2*q - 1)**2/3
Determine o, given that -6*o**2 + 22 - 20 + 23 + o**2 + 20*o = 0.
-1, 5
Let m be (-12 + 10)/(-4)*0. Let z(s) = 4*s**2 - 2*s + 1. Let n be z(1). Determine u so that 0*u - 1/2*u**5 + 0 + m*u**2 + 1/2*u**n + 0*u**4 = 0.
-1, 0, 1
Suppose 2*h - 24 = 2*y, -4*y + 3*y - 2 = 0. Suppose -k = -6*k + h. Factor -1 + 1 + 2*b**k + 2*b.
2*b*(b + 1)
Let q(n) = 23*n**4 - 60*n**3 - 107*n**2 + 202*n - 58. Let d(u) = 15 - 7 + u**2 + u**4 - u - 4 - 5. Let o(z) = 2*d(z) + q(z). Find g, given that o(g) = 0.
-2, 2/5, 1, 3
Let a(b) be the first derivative of b**4/16 + 2*b**3/3 + 5*b**2/2 + 4*b + 486. Factor a(l).
(l + 2)**2*(l + 4)/4
Let k = 562 + -559. Suppose -3/4*l**2 + k*l + 0 = 0. Calculate l.
0, 4
Let m(n) = 2*n**3 + 5*n**2 + 3*n + 2. Let i be m(-3). Let y be ((-3)/6)/((10/i)/5). Let 0 + 1/6*z**y + 0*z - 1/3*z**3 + 0*z**2 = 0. What is z?
0, 2
Let u be (48/(-32))/(1/(-2)). Solve -5*j**4 - 12*j**u + 5*j**2 - j**5 + 6*j**5 + 7*j**3 = 0.
-1, 0, 1
Let z(w) be the second derivative of 5*w**7/42 + w**6/3 - 3*w**5 + 35*w**4/6 - 25*w**3/6 - 175*w. Find l, given that z(l) = 0.
-5, 0, 1
Factor -8/5*y**2 + 2/5*y**4 + 6/5 + 4/5*y - 4/5*y**3.
2*(y - 3)*(y - 1)*(y + 1)**2/5
Let m(q) = 25*q**4 - 78*q**3 + 158*q**2 - 72*q + 11. Let x(c) = 9*c**4 - 26*c**3 + 53*c**2 - 24*c + 4. Let p(l) = -4*m(l) + 11*x(l). Factor p(g).
-g*(g - 24)*(g - 1)**2
Let j(c) be the second derivative of -c**5/40 + 7*c**4/24 - 2*c + 32. Determine p, given that j(p) = 0.
0, 7
Let q(z) be the first derivative of 2*z**6/3 - 2*z**5/5 - z**4/2 + 313. Factor q(i).
2*i**3*(i - 1)*(2*i + 1)
Let b(h) be the first derivative of -h**5/40 + 17*h**4/72 - 11*h**3/18 + 2*h**2/3 + 10*h + 7. Let m(z) be the first derivative of b(z). Solve m(u) = 0.
2/3, 1, 4
Let c(d) = d**2 - 7*d - 8. Let s be c(7). Let g = s - -10. Suppose 2*f**4 + f**5 + 6*f + f**g - 7*f - 3*f**2 = 0. What is f?
-1, 0, 1
Let m(s) = s**2 + 21 - 11 + 12*s + 5*s**2. Let i(f) = -7*f**2 - 12*f - 11. Let x(n) = 2*i(n) + 3*m(n). Factor x(j).
4*(j + 1)*(j + 2)
Let c(u) be the second derivative of u**6/240 - u**5/120 - 3*u**2 + 11*u. Let o(y) be the first derivative of c(y). Factor o(w).
w**2*(w - 1)/2
Suppose -107*q - 32*q**3 + 171*q**2 - 7*q**4 - 8 - 62*q + 64 - 27*q**3 + 8*q**4 = 0. Calculate q.
1, 56
Let o(y) = -13*y**2 + 112*y - 119. Let c(q) = 28*q**2 - 222*q + 239. Let k(v) = -4*c(v) - 9*o(v). Suppose k(