t.
1
Suppose -1 + 1 = 3*w. Solve 2/7*m**3 + 0 + w*m + 2/7*m**2 = 0.
-1, 0
Let d(t) = -5*t**4 + 9*t**3 + 4*t**2 - 27*t + 16. Let b(y) = -56*y**4 + 100*y**3 + 44*y**2 - 298*y + 176. Let n(g) = 6*b(g) - 68*d(g). Solve n(z) = 0.
-2, 1, 2
Factor 0*o + o**5 + 0 + 0*o**2 + 2/7*o**4 + 0*o**3.
o**4*(7*o + 2)/7
Let m(i) = 5*i**3 - 3*i + 2. Let k be m(1). Suppose 2*p = 2 + k. Find c such that -2/3*c**p - 2/3*c**2 + c**4 - 1/3 - 1/3*c**5 + c = 0.
-1, 1
Let s = 3 + -7. Let h(k) = -6*k**2 + 3. Let o(t) = -7*t**2 + 4. Let c(b) = s*h(b) + 3*o(b). Factor c(i).
3*i**2
Suppose 4*w - 2*w = 8. Let k(v) be the third derivative of 0 + 9/20*v**5 + 27/2*v**3 + 0*v - 27/8*v**4 - 1/40*v**6 + w*v**2. Factor k(o).
-3*(o - 3)**3
Let d be (24 + -25)*(1 - 6). What is s in 0*s - 1/3*s**d + 0*s**3 + 0 + 0*s**4 + 0*s**2 = 0?
0
Let q(t) = -5*t**3 + 6*t**2 - 3*t + 2. Let h(v) = -51*v**3 + 60*v**2 - 30*v + 21. Let r(m) = -2*h(m) + 21*q(m). Solve r(p) = 0 for p.
0, 1
Let f(o) be the first derivative of o**5/20 + 3*o**4/16 - o**2/2 + 14. Solve f(d) = 0 for d.
-2, 0, 1
Let c(m) be the first derivative of -m**7/1680 - 2*m**3/3 + 4. Let u(g) be the third derivative of c(g). Factor u(r).
-r**3/2
Let l be (-630)/(-75) + -8 + 18/(-70). Factor 1/7*u**4 + 0*u + 0 + 0*u**2 - l*u**3.
u**3*(u - 1)/7
Let i = -1/11 + 119/99. Let s = 1/28 - -53/84. Suppose -i*y + 14/9*y**2 + 2/9 - s*y**3 = 0. Calculate y.
1/3, 1
Let p be (6 + -1)/1*1 + -3. Factor 0 - 2/11*h**3 + 0*h + 2/11*h**p.
-2*h**2*(h - 1)/11
Let t be ((-6)/(-4))/(-11 + 13). Let t*m**2 - 3/4*m**3 + 0 + 0*m = 0. Calculate m.
0, 1
Suppose 5*n - 3*n**3 + n**2 + n - n**2 - 3*n**2 = 0. Calculate n.
-2, 0, 1
Let u(m) be the first derivative of -m**4/8 + m**3/3 + 3*m**2/4 - 4. Factor u(o).
-o*(o - 3)*(o + 1)/2
Let r be ((-1)/(-69))/(56/852). Let u = 3/46 + r. Solve -2/7*s**5 + 0*s + 0*s**2 + u*s**3 + 0*s**4 + 0 = 0.
-1, 0, 1
What is n in 1/3*n**4 - 16/3*n**3 + 30*n**2 + 125/3 - 200/3*n = 0?
1, 5
Solve 0 + 0*v + 2/3*v**3 - 2*v**2 = 0 for v.
0, 3
Let p(l) = -l - 1. Let g be p(-4). Let s(b) be the second derivative of g*b + 0 + 1/2*b**2 - 1/24*b**4 - 1/12*b**3. Factor s(j).
-(j - 1)*(j + 2)/2
Let l be (9/(-3))/((-2)/2). Solve 2 - 2 + 3*j - l*j**2 = 0 for j.
0, 1
Let i(v) = -v**3 - 5*v**2 + 2*v + 5. Let a be i(-6). Let n = a + -27. Solve 3/5*c**n + 6/5 - 9/5*c = 0.
1, 2
Let l(w) be the first derivative of 0*w**2 + 3 + 2*w + 1/66*w**4 + 1/33*w**3. Let u(x) be the first derivative of l(x). Find t, given that u(t) = 0.
-1, 0
Let r be 0 - (-4)/16*6. Factor 0 + 3/2*k - r*k**2.
-3*k*(k - 1)/2
Find n such that 0 - 2/3*n - 2/3*n**2 = 0.
-1, 0
Let x(m) be the third derivative of -3*m**2 - 1/8*m**6 + 0*m**3 + 1/16*m**8 + 0 - 1/4*m**4 - 9/70*m**7 + 9/20*m**5 + 0*m. Find o, given that x(o) = 0.
-1, 0, 2/7, 1
Suppose 0 = 9*c - 3*c - 264. Let m be 46/c - 7/14. Determine v, given that -m*v**2 + 2/11*v**3 - 2/11 + 6/11*v = 0.
1
Find i, given that 375 + 45*i**2 + 21*i + 2*i**3 + 41*i + 163*i + i**3 = 0.
-5
Let k be 288/378 + (-1)/3. Suppose -k*j**2 - 9/7*j**4 - 3/7*j**5 + 0*j + 0 - 9/7*j**3 = 0. What is j?
-1, 0
Let u(l) be the second derivative of 3*l**5/100 - 3*l**4/20 + 3*l**3/10 - 3*l**2/10 + 4*l. Suppose u(d) = 0. Calculate d.
1
Let o = 34/21 - -86/21. Let v be -4 + 4 - (-160)/14. Factor -10/7*k**4 - 32/7 + o*k**3 - v*k**2 + 1/7*k**5 + 80/7*k.
(k - 2)**5/7
Let p be 6/14 - 240/(-126). Factor p*o - 3*o**2 - 1/3*o**4 + 5/3*o**3 - 2/3.
-(o - 2)*(o - 1)**3/3
Let q(w) = 81*w + 51 + 219*w + 35*w**2 - 272*w**2 - 114*w**2. Let x(v) = 27*v**2 - 23*v - 4. Let s(u) = -2*q(u) - 27*x(u). Determine c so that s(c) = 0.
-2/9, 1
Let x(y) be the second derivative of -4*y + 1/10*y**5 + 0 - 1/3*y**3 + 0*y**2 + 0*y**4. Suppose x(w) = 0. What is w?
-1, 0, 1
Let u(w) = 32*w**2 - 60*w + 12. Let x(d) = 13*d**2 - 24*d + 5. Let t(f) = 5*u(f) - 12*x(f). Factor t(m).
4*m*(m - 3)
Let y(w) = -w + 14. Let t be y(14). Let d(k) be the second derivative of 1/4*k**2 + 1/24*k**3 + t - 1/16*k**4 - k. Find r, given that d(r) = 0.
-2/3, 1
Let h(i) = -2*i**3 - 8*i**2. Let c(b) = 2*b**3 + 8*b**2. Let p(w) = -3*c(w) - 4*h(w). Factor p(m).
2*m**2*(m + 4)
Factor -4*o**3 + 9*o**3 - 2*o + o - 4*o**3.
o*(o - 1)*(o + 1)
Suppose 4 = -2*u + 10. Let r = 26 + -24. Determine d so that -3*d**3 - 3*d + d + d**u + 4*d**r = 0.
0, 1
Let p(c) be the first derivative of 1/6*c**3 + 0*c - 1/16*c**4 - 2 + 0*c**2. Factor p(r).
-r**2*(r - 2)/4
Let z(b) = -b**3 - b**2 - 2*b. Let d = 3 + -5. Let s(n) = -2*n**3 - 2*n**2 - 5*n. Let y(o) = d*s(o) + 5*z(o). Determine u so that y(u) = 0.
-1, 0
Let q(a) = 14*a**3 + 2*a**2 - 44*a - 24. Let j(k) = -13*k**3 - 3*k**2 + 43*k + 24. Let m(w) = -4*j(w) - 3*q(w). Factor m(f).
2*(f - 2)*(f + 2)*(5*f + 3)
Let g be (16/(-6))/(6/27). Let a be g/(-75)*(-10)/(-4). Factor -2/5*u**3 + 2/5*u**2 - 2/5*u**4 + a*u + 0.
-2*u*(u - 1)*(u + 1)**2/5
Factor 6/7*w**4 - 4/7*w**2 + 4/7*w**3 - 2/7 + 2/7*w**5 - 6/7*w.
2*(w - 1)*(w + 1)**4/7
Let i(u) be the first derivative of 0*u**3 + 1/8*u**2 - 1/16*u**4 + 0*u - 5. Factor i(j).
-j*(j - 1)*(j + 1)/4
Let i(y) = y**2 + y. Let g = -7 - -2. Let h(m) = -2 + 4*m + m + 3*m**2 + 4*m**2. Let w(l) = g*i(l) + h(l). Factor w(q).
2*(q - 1)*(q + 1)
Let y(f) = -27*f**3 - 76*f**2 - 57*f + 5. Let v(b) = 14*b**3 + 38*b**2 + 28*b - 2. Let j(x) = -13*v(x) - 6*y(x). Factor j(g).
-2*(g + 1)*(2*g + 1)*(5*g + 2)
Let q = 196 - 1760/9. Let v be 2/6*(-4)/(-6). Determine h so that 4/9*h**3 - 2/9*h - 2/9*h**4 - 2/9*h**5 + q*h**2 - v = 0.
-1, 1
Solve 0 + 3/2*s**5 - s**2 + s**4 - 3/2*s**3 + 0*s = 0 for s.
-1, -2/3, 0, 1
Let k(r) be the first derivative of -r**9/756 + r**7/210 + 7*r**3/3 + 7. Let p(t) be the third derivative of k(t). Find f such that p(f) = 0.
-1, 0, 1
Suppose 0 = 4*b + 4*l - 28, 5*b = 4*l - 0*l + 8. Suppose -3*n**3 + 4*n**3 + 133*n**4 - 136*n**b = 0. Calculate n.
0, 1/3
Suppose 0*v = v - 5*v. Suppose 2*w**5 - 4/3*w**3 - 8/3*w**2 + 8/3*w**4 + v - 2/3*w = 0. What is w?
-1, -1/3, 0, 1
Let s be 1/2 - 30/4. Let f(o) = -7*o**2 - 2*o. Let q be 18/(-4) - 2/4. Let w(z) = 10*z**2 + 3*z. Let x(c) = q*w(c) + s*f(c). Suppose x(i) = 0. Calculate i.
-1, 0
Suppose 11 = -5*d + 4*f - 75, 2*f - 70 = 4*d. Let x be (2/d)/((-3)/6). Solve 2*m**4 - 8/9*m - 4/9*m**2 + x + 8/3*m**3 = 0 for m.
-1, 1/3
Suppose 0 = -3*f + 4*z + 31, -3*z + 24 = 2*f + f. Suppose 0 = 3*k - 4*b - f - 6, 0 = -5*b. Factor -3*h**5 - h**k - 3*h**5 + h**3 + 6*h**5.
-h**3*(h - 1)*(h + 1)
Suppose 2*g - 3*w = 13 + 6, 2*g = -2*w - 6. Let m(p) be the second derivative of 1/30*p**6 - 1/12*p**4 + 0*p**3 + 0*p**5 + p + 0*p**g + 0. Factor m(a).
a**2*(a - 1)*(a + 1)
Factor 5*n**3 - n**2 + 5*n**3 - n**5 - 9*n**3 + n**4.
-n**2*(n - 1)**2*(n + 1)
Let w be 1/(49/21 + -2). Factor -1/4*f + 1/4*f**w + 1/4*f**2 - 1/4*f**4 + 0.
-f*(f - 1)**2*(f + 1)/4
Suppose 8*r = 12*r. What is n in 8/7*n**2 + 0 - 18/7*n**4 + r*n**3 + 0*n = 0?
-2/3, 0, 2/3
Let w(g) = 8*g + g**3 - 3*g**2 + g**3 - 1 - g**3. Let x(c) = c**3 - 3*c**2 + 7*c - 1. Let p(b) = 4*w(b) - 5*x(b). Let p(d) = 0. Calculate d.
1
Solve -4*j**3 + 3 - 2*j**3 - j**4 + 6*j - 2*j**4 = 0 for j.
-1, 1
Let m(r) be the third derivative of 0*r - 1/3*r**3 + r**2 + 1/1080*r**6 + 0 - 1/360*r**5 - 1/36*r**4. Let b(l) be the first derivative of m(l). Factor b(t).
(t - 2)*(t + 1)/3
Let a(l) be the second derivative of -l**9/11340 + l**8/30240 + l**7/5670 - 5*l**4/12 - 4*l. Let s(q) be the third derivative of a(q). Factor s(x).
-2*x**2*(2*x + 1)*(3*x - 2)/9
Let q = 6 + -3. What is i in 4*i**q - 2*i**4 - 7*i**3 - i**4 = 0?
-1, 0
Let k be (-133)/(-1368) + 2/16. Factor -k*l**2 + 8/9 + 0*l.
-2*(l - 2)*(l + 2)/9
Solve -2*a + 2*a**4 + 6*a - a**3 - 4*a**2 + a**4 - 2*a**4 = 0 for a.
-2, 0, 1, 2
Let d = 58 + -55. Let q(f) be the second derivative of 2/9*f**3 - 1/15*f**5 + 0 + 0*f**4 + d*f + 1/3*f**2 - 1/45*f**6. Factor q(l).
-2*(l - 1)*(l + 1)**3/3
Let s(b) be the second derivative of 9*b - 2/63*b**7 - 2/45*b**6 - 2/9*b**3 + 2/15*b**5 + 2/9*b**4 - 2/3*b**2 + 0. Factor s(h).
-4*(h - 1)**2*(h + 1)**3/3
Let r(y) = 4*y**2 - 12*y. Let g(t) = -t + 1. Let v(m) = 8*g(m) - r(m). Solve v(c) = 0.
-1, 2
Let n(l) be the second derivative of -l**6/360 - l**5/60 - l**4/24 - 2*l**3/3 - 3*l. Let o(r) be the second derivative of n(r). Let o(p) = 0. Calculate p.
-1
Let o(d) be the first derivative of 3*d**5/5 - 2*d**3 + 3*d - 9. Factor o(f).
3