2 + 2 = 0?
-1, 2
Let h = -17/24 + 29/24. Factor x + h*x**2 + 0.
x*(x + 2)/2
Let f(p) be the first derivative of p**5/5 - p**4/4 - 2*p**3/3 - 10. Let f(d) = 0. Calculate d.
-1, 0, 2
Let f(n) be the second derivative of 1/3*n**2 + 7/18*n**3 + 1/90*n**6 - 3*n + 1/12*n**5 + 0 + 1/4*n**4. Let f(j) = 0. What is j?
-2, -1
Let j(p) = -11*p + 2. Let v be j(-2). Suppose 4*r - 20 = v. Factor 50*m**3 + r*m**4 + 2*m**5 + 6 + 76*m**2 + 56*m + 5*m**4 + 10.
2*(m + 1)**2*(m + 2)**3
Suppose -z = -3 - 1. Let i be 6/z*12/9. Factor 2/5*v**i + 0*v - 2/5.
2*(v - 1)*(v + 1)/5
Let w(z) be the third derivative of 0*z - 1/21*z**3 - 1/140*z**6 - z**2 + 0 + 1/28*z**4 + 1/210*z**5. Factor w(s).
-2*(s - 1)*(s + 1)*(3*s - 1)/7
Let q(w) be the second derivative of -w**7/105 + 8*w**6/75 - 12*w**5/25 + 16*w**4/15 - 16*w**3/15 + 7*w. Determine z so that q(z) = 0.
0, 2
Let u(o) be the first derivative of o**7/1400 + o**6/600 - o**5/100 - 8*o**3/3 + 4. Let p(m) be the third derivative of u(m). Factor p(q).
3*q*(q - 1)*(q + 2)/5
Factor -1/5*r**3 - 13/5*r**2 - 36/5 - 48/5*r.
-(r + 1)*(r + 6)**2/5
Let o(g) be the second derivative of 0*g**4 + 7*g + 0*g**3 + 0 + 0*g**2 - 1/315*g**7 - 1/150*g**5 + 2/225*g**6. Factor o(h).
-2*h**3*(h - 1)**2/15
Let p(t) be the third derivative of t**7/105 + t**6/12 + 3*t**5/10 + 7*t**4/12 + 2*t**3/3 - 22*t**2. Factor p(x).
2*(x + 1)**3*(x + 2)
Let h(z) = -z - 17. Let y be h(-8). Let a be (-6)/1*y/135. Factor 0*w + 2/5*w**4 + 2/5*w**3 - a*w**2 + 0 - 2/5*w**5.
-2*w**2*(w - 1)**2*(w + 1)/5
Let x(r) = 3*r - 2. Let l be x(2). Let p = -4 - -6. Factor -2*a**2 + p*a**2 - a**3 - a**l.
-a**3*(a + 1)
Determine t, given that 0*t**4 - 8*t**4 - t**5 + 4*t - 2*t**5 - t**5 + 8*t**2 = 0.
-1, 0, 1
Let z(v) = -5*v**4 + 5*v**3 + v**2 - 5*v. Let m(q) = -q**4 + q**3 - q. Let w(u) = 12*m(u) - 3*z(u). Determine f so that w(f) = 0.
-1, 0, 1
Let n = -519/2 + 260. Let 0 - 50*d**4 - n*d + 15/2*d**3 + 3*d**2 = 0. Calculate d.
-1/4, 0, 1/5
Suppose 2*m - 6 = -0*u - 3*u, 5*m - 15 = -3*u. Factor 0*w**2 + 0 + 0*w + 7/4*w**5 + 3*w**4 - w**m.
w**3*(w + 2)*(7*w - 2)/4
Let o(w) = w**2 + 17*w + 76. Let a be o(-8). Factor 2/5*c**a + 0*c - 2/5*c**2 + 0*c**3 + 0.
2*c**2*(c - 1)*(c + 1)/5
Let o be -2*(-3)/(-12)*-2. Suppose 5 - o = l. Let b(k) = k**2 - k. Let z(a) = 3*a**2 - 4*a + 1. Let d(j) = l*b(j) - z(j). Let d(h) = 0. What is h?
-1, 1
Let j(d) be the second derivative of d**5/30 - d**3/9 - 5*d. Factor j(k).
2*k*(k - 1)*(k + 1)/3
Let l(v) be the third derivative of v**5/210 + 5*v**4/84 + 4*v**3/21 - 7*v**2. Factor l(b).
2*(b + 1)*(b + 4)/7
Let q(m) = -m**3 - m**2 - m + 1. Let k(n) = 8*n**3 - 2*n**2 - 17*n + 17. Let w(i) = -k(i) - 3*q(i). Factor w(t).
-5*(t - 2)*(t - 1)*(t + 2)
Let c(q) be the second derivative of -4*q**7/147 - 26*q**6/105 - 5*q**5/7 - 8*q**4/21 + 8*q**3/7 - 66*q. Let c(n) = 0. What is n?
-3, -2, 0, 1/2
Find a, given that 852*a**3 + 4*a**2 + 7*a - 2 - 8 - 853*a**3 = 0.
-2, 1, 5
Let r(z) be the first derivative of -1 + 8/3*z - 1/6*z**4 - 2/3*z**3 + 0*z**2. Solve r(v) = 0 for v.
-2, 1
Let x(b) be the third derivative of -b**6/600 + b**5/300 + b**4/120 - b**3/30 + 2*b**2. Solve x(v) = 0.
-1, 1
Let h(s) be the second derivative of s**5/120 - s**4/24 + s**3/12 + s**2 + 3*s. Let w(k) be the first derivative of h(k). Factor w(x).
(x - 1)**2/2
Let a(p) = -p**3 - p**2 + p. Let l be a(-2). Determine c, given that 36*c**5 + 5*c - 33*c**5 - l*c - 6*c**3 = 0.
-1, 0, 1
Let t(c) be the second derivative of 0 + 1/8*c**4 + 1/8*c**2 + 6*c + 1/6*c**3 + 1/20*c**5 + 1/120*c**6. Factor t(q).
(q + 1)**4/4
Let i = 55/3 + -379/21. Factor -2/7*z**2 + 0 + i*z.
-2*z*(z - 1)/7
Suppose 0 = 5*w - 8*w + 9. Let i(j) be the first derivative of -4*j + 2 + 2*j**2 - 1/3*j**w. Factor i(z).
-(z - 2)**2
Suppose 2*f = -6 + 16. Suppose -5*n = -3*n - 6, 4*t - 23 = -f*n. Let 1/5*r**t + 1/5*r - 2/5 = 0. Calculate r.
-2, 1
Let q(x) = x**3 - 10*x**2 - 10*x - 9. Let t be q(11). Factor -29*d + 18*d**t + 2*d - 3*d**3 + 0*d**3.
-3*d*(d - 3)**2
Factor -v**3 + 2*v**2 - 4*v**2 - 5*v**3 + 8*v**4.
2*v**2*(v - 1)*(4*v + 1)
Let a(l) be the third derivative of l**6/30 - 2*l**5/15 + l**4/6 + 3*l**2. Find j, given that a(j) = 0.
0, 1
Let o be (74/123)/((-4)/(-3)). Let z = 2/41 + o. Factor -3/2*f**4 - 1/2*f**2 - 3/2*f**3 + 0 - z*f**5 + 0*f.
-f**2*(f + 1)**3/2
Let t(n) be the second derivative of n**6/10 - n**5/5 - n**4/6 + 2*n**3/3 - n**2/2 - 23*n. What is x in t(x) = 0?
-1, 1/3, 1
Let k = 100 + -98. Let r(d) be the second derivative of 0*d**k + 1/36*d**4 - 2*d + 0 - 1/18*d**3. Determine t, given that r(t) = 0.
0, 1
Let j(t) be the third derivative of -1/180*t**5 - 1/18*t**4 - 5*t**2 - 2/9*t**3 + 0 + 0*t. Factor j(z).
-(z + 2)**2/3
Let m(z) be the first derivative of -2 + 0*z - 2/3*z**3 - 1/5*z**5 + 0*z**2 + 3/4*z**4. Suppose m(f) = 0. Calculate f.
0, 1, 2
Let r(x) = x - 9. Let h be r(9). Find y such that -y - y**5 + 2*y**3 + h*y**5 - y**4 - 4 + y**2 + 3 + y**2 = 0.
-1, 1
Let a be (-6)/(-21) + 5/7. Let i(f) be the first derivative of -1/18*f**4 - a + 0*f + 1/9*f**2 + 0*f**3. Factor i(p).
-2*p*(p - 1)*(p + 1)/9
Let i(l) be the first derivative of l**7/1050 + l**6/150 + l**5/60 + l**4/60 + 3*l**2/2 + 2. Let g(w) be the second derivative of i(w). Factor g(m).
m*(m + 1)**2*(m + 2)/5
Let t(a) be the third derivative of -a**7/42 + a**5/12 - 4*a**2. Let t(i) = 0. Calculate i.
-1, 0, 1
Let v(l) = -l**2 + 1. Let x be (-2 - -3)*36/(-1). Let f(c) = 8*c**2 - c - 9. Let r(a) = x*v(a) - 4*f(a). Determine i, given that r(i) = 0.
-1, 0
Suppose -29*r + 24*r + 30 = 0. Let w be (-28)/(-70)*80/r. Factor -8/3 - 10/3*u**2 + w*u + 2/3*u**3.
2*(u - 2)**2*(u - 1)/3
Let t = 62 + -62. Let q(y) be the second derivative of 1/36*y**4 + t*y**2 - 3*y + 0*y**3 + 0. Let q(z) = 0. What is z?
0
Suppose -r + 6*r + 5 = 0. Let j = 1 + r. Factor j*h + 0 + 0*h**2 + 1/4*h**3.
h**3/4
Let x(o) be the first derivative of o**4 - 4*o**3/3 - 2*o**2 + 4*o + 9. Factor x(q).
4*(q - 1)**2*(q + 1)
Factor 45 + 11*k**2 + 5*k**3 - 24*k**2 - 4*k - 12*k**2 + 19*k.
5*(k - 3)**2*(k + 1)
Let p = 34 - 30. Suppose -5 - 6 = -3*y - j, p*y + 4*j = 28. Suppose 0 - 4/13*c**y - 2/13*c - 2/13*c**3 = 0. What is c?
-1, 0
Let m be (-120)/(-135)*3*(-1)/(-4). Let q = -45 - -137/3. Suppose m + 4/3*l + q*l**2 = 0. What is l?
-1
Let y(m) be the first derivative of -m**5/10 + m**3 + 2*m**2 + m + 5. Let o(v) be the first derivative of y(v). Factor o(t).
-2*(t - 2)*(t + 1)**2
Solve -5/6*v - 2/3*v**2 - 1/3 - 1/6*v**3 = 0.
-2, -1
Let k(c) be the first derivative of -c**4/48 + c**3/24 + c + 2. Let x(b) be the first derivative of k(b). Factor x(z).
-z*(z - 1)/4
Let r(u) be the first derivative of u**9/1512 + u**8/280 + u**7/140 + u**6/180 - 4*u**3/3 + 3. Let v(o) be the third derivative of r(o). Solve v(l) = 0.
-1, 0
Let b(z) be the second derivative of z**4/48 - z**2/2 - 18*z. Solve b(c) = 0.
-2, 2
Let d be (36/5)/(-2) - -4. Let 0 - 14/5*q**3 + d*q + 4/5*q**2 + 8/5*q**4 = 0. What is q?
-1/4, 0, 1
Let u(q) be the third derivative of 5*q**2 - 1/30*q**4 + 1/525*q**7 - 1/50*q**5 + 0*q**3 + 0*q**6 + 0 + 0*q. Factor u(s).
2*s*(s - 2)*(s + 1)**2/5
Let o(g) = -5*g**3 + g**2 - g + 2. Suppose -10*h + 5*h = -15. Let m(y) = -9*y**3 + y**2 - y + 4. Let f(x) = h*m(x) - 5*o(x). Factor f(u).
-2*(u - 1)*(u + 1)**2
Let p(q) = 3*q**2 + 3*q + 4. Let j(k) = -k**2 - k - 2. Suppose -g = -3 - 2. Let c(m) = g*j(m) + 2*p(m). Factor c(s).
(s - 1)*(s + 2)
Let a = 6 - 4. Suppose x - 2 = -2*p - 1, 5*p = a*x + 25. Suppose 1 - 3*z**p + z + 5*z - 3*z - z**2 = 0. What is z?
-1, -1/3, 1
Let h(w) = 1 - 9*w + 10*w**2 - w**3 + 0*w**3 + 3 - 1. Let i be h(9). Find a such that -2/3*a**2 + 2/3 - 2/3*a + 2/3*a**i = 0.
-1, 1
Let y(s) be the third derivative of s**8/70560 + s**7/5880 + s**6/1260 + s**5/30 + 3*s**2. Let b(k) be the third derivative of y(k). Factor b(f).
2*(f + 1)*(f + 2)/7
Let x(w) be the first derivative of -w**5/240 - w**4/32 - w**3/12 + w**2 + 2. Let i(a) be the second derivative of x(a). Find y such that i(y) = 0.
-2, -1
Let w(g) be the second derivative of -g**7/15120 + g**6/2160 - g**5/720 + g**4/6 + 2*g. Let h(s) be the third derivative of w(s). Factor h(z).
-(z - 1)**2/6
Let x = 19 + -15. Factor 0*y**5 + 7*y**3 + y - 4*y**2 - 4*y**x - y**3 - 3*y**5 + 4*y**5.
y*(y - 1)**4
Let -16*d + 2*d**2 - 349 + 349 = 0. Calculate d.
0, 8
Let p(k) be