Let m(c) be the first derivative of g(c). Suppose m(p) = 0. What is p?
-1, 0
Suppose -i - 102 = 2*b - 4*b, 0 = 5*i + b + 565. Let a be i/(-60) - (-4)/(-6). Factor 3/5*s + 3/5*s**2 - a.
3*(s - 1)*(s + 2)/5
Let k be -1*6/48*-4. Let y(z) be the first derivative of -2 + 0*z + 2/5*z**5 + 0*z**4 + 1/6*z**6 - k*z**2 - 2/3*z**3. Factor y(f).
f*(f - 1)*(f + 1)**3
Suppose 136*b + 3 - 3 = -137*b. What is t in 0*t + 1/2*t**2 + b = 0?
0
Let n(c) be the third derivative of c**8/112 - 2*c**7/35 - c**6/4 + 16*c**5/5 - 87*c**4/8 + 18*c**3 + c**2 + 18. Solve n(s) = 0 for s.
-4, 1, 3
Find u, given that 152/5*u**2 + 64/5*u + 0 - 12/5*u**4 + 76/5*u**3 = 0.
-1, -2/3, 0, 8
Let l be (1/4)/(434/1488). Let a(c) be the first derivative of -4 - l*c - 2/21*c**3 + 1/14*c**4 - 5/7*c**2. What is y in a(y) = 0?
-1, 3
Suppose -17*f**2 + 3028*f**3 - 3127*f**3 + 5*f**5 - 2*f**2 - 33*f**4 + 14*f**2 - 74*f**2 - 18*f = 0. What is f?
-1, -2/5, 0, 9
Let k(y) be the third derivative of y**8/336 - y**7/210 - y**6/24 + y**5/12 + y**4/6 - 2*y**3/3 - 293*y**2. Find z, given that k(z) = 0.
-2, -1, 1, 2
Suppose -630 = -49*l + 35*l. Let y = 48 - l. Factor 0*g + 2/17*g**2 - 8/17*g**y + 0.
-2*g**2*(4*g - 1)/17
Solve -3*k**3 - 295 + 268 - 6*k**2 - 9*k + 21*k**2 = 0.
-1, 3
Let y = 64301/3 - 21433. Let y*a**3 + 16*a - 6*a**2 - 32/3 = 0. What is a?
1, 4
Let b = 253 + -141. Let p be ((-12)/14)/((-72)/b). Factor 4*m**2 + 4/3*m - 4 - p*m**3.
-4*(m - 3)*(m - 1)*(m + 1)/3
Let z(n) = 5*n**3 - 40*n**2 - 5*n + 10. Let k(d) = d**3 - 13*d**2 - 2*d + 3. Let x(m) = 10*k(m) - 3*z(m). Suppose x(l) = 0. What is l?
-1, 0
Let u(g) = -g**3 + 34*g**2 + 6*g. Let m(v) = v**3 + v**2 - v. Let o(f) = 6*m(f) + u(f). Factor o(q).
5*q**2*(q + 8)
Let j(c) be the first derivative of c**7/168 - c**6/72 - 7*c**3/3 + 9. Let v(y) be the third derivative of j(y). Factor v(l).
5*l**2*(l - 1)
Let b(z) be the second derivative of 4/3*z**3 - z - 2*z**2 + 0 - 1/3*z**4. Factor b(u).
-4*(u - 1)**2
Let q(x) be the third derivative of -x**7/70 + 17*x**6/40 + x**5/5 - 17*x**4/2 + 153*x**2 + 2*x. Factor q(h).
-3*h*(h - 17)*(h - 2)*(h + 2)
Factor -13 + 1/2*m**3 + 11/2*m + 7*m**2.
(m - 1)*(m + 2)*(m + 13)/2
Let u(w) = -w**3 + 6*w**2 - 5*w - 4. Let h be u(6). Let n = 36 + h. Factor -3*a + 2/3 + 7/3*a**n.
(a - 1)*(7*a - 2)/3
Factor 4 + f - 1/2*f**2.
-(f - 4)*(f + 2)/2
Let w be (69/(-276))/(((-2)/40)/1). Suppose w*f + z + 3*z = -10, 2*z = -10. Factor -1/2 - 3/4*a**3 + 3/4*a + 1/4*a**4 + 1/4*a**f.
(a - 2)*(a - 1)**2*(a + 1)/4
Let q(b) be the second derivative of b**5/160 + 5*b**4/24 + 39*b**3/16 + 81*b**2/8 + 4*b - 1. Factor q(w).
(w + 2)*(w + 9)**2/8
Let a(k) be the first derivative of -16/35*k**5 + 64/7*k**3 - 144/7*k**2 - 1/21*k**6 + 4/7*k**4 - 9 + 0*k. Find j, given that a(j) = 0.
-6, 0, 2
Let t(q) = -2*q - 2. Let w be 1/(-3)*(3 - 0). Let n be t(w). Factor o + 0*o**2 + 7*o + n*o**2 - 4 - 4*o**2.
-4*(o - 1)**2
Let 2/9*r**2 + 8/3 - 26/9*r = 0. Calculate r.
1, 12
Let b(r) = 100 - r - 98 + 0*r. Let s be b(0). Suppose 2/3*d**s + 0 + 4/9*d = 0. Calculate d.
-2/3, 0
Suppose -100 = -20*q - 0. Factor -10/3*b**q + 2*b**4 + 0*b**2 + 0*b + 4/3*b**3 + 0.
-2*b**3*(b - 1)*(5*b + 2)/3
Suppose 0 = -38*t + 36*t - 162. Let c be (-2)/(-9) + 6/t*3. Find b, given that -3/2*b**2 - 3/2*b**3 + 0*b + c = 0.
-1, 0
Let l(v) = -v + 4. Suppose -3 = -3*q, 5 - 4 = 5*o - 4*q. Let k be l(o). Factor 3/2*j - 3/2*j**k - 3/2*j**4 + 0 + 3/2*j**2.
-3*j*(j - 1)*(j + 1)**2/2
Suppose 64 = -5*x + 89. Suppose -4*l**3 - 13 - 20*l + 0*l**3 + x + 0 - 16*l**2 = 0. What is l?
-2, -1
Suppose 12/5*u**4 - 6/5*u**3 + 0 - 12/5*u**2 - 3/5*u**5 + 9/5*u = 0. Calculate u.
-1, 0, 1, 3
Let c be 3/(-18)*3/(-10). Let r(a) be the second derivative of -11/48*a**4 - 6*a + 1/4*a**2 - c*a**5 + 0 - 5/24*a**3. Suppose r(p) = 0. Calculate p.
-2, -1, 1/4
Let p(j) = j**4 + j**3 - j**2 + 1. Let c(h) = -3*h**5 + 12*h**4 - 12*h**2 - 3. Let x(t) = -c(t) - 3*p(t). Let x(n) = 0. Calculate n.
-1, 0, 1, 5
Let s(p) be the first derivative of -p**5/150 + p**4/30 + 3*p**2/2 + 13. Let u(t) be the second derivative of s(t). Solve u(y) = 0 for y.
0, 2
Suppose -181 = -5*b + f - 31, -2*f = 5*b - 135. Solve 21*n**2 - b*n**2 + 88*n - 62*n**2 - 23*n + 5 = 0.
-1/14, 1
Let b(m) be the third derivative of -m**6/60 - m**5/5 + m**4/12 + 2*m**3 + 76*m**2 + 2. Factor b(k).
-2*(k - 1)*(k + 1)*(k + 6)
Let h be -2*((-722)/28 - 10/(-35)). Solve 7*v**5 + 16*v - 22*v**5 - h*v**4 - 18*v**3 + 11*v - 3*v + 60*v**2 = 0 for v.
-2, -2/5, 0, 1
Suppose -2*b = 5*x + 146, -x + 4*b - 16 = 22. Let p be 8/(x/(-12) + 2/(-4)). Factor -4/5 + 2/5*y**p - 6/5*y**3 + 2/5*y**2 + 6/5*y.
2*(y - 2)*(y - 1)**2*(y + 1)/5
Solve 5*g - 5*g - 18*g**2 + 33*g**3 - 36*g - 24*g**4 + 3*g**5 + 42*g**2 = 0 for g.
-1, 0, 1, 2, 6
Suppose 0*y + 3*y = 0. Suppose 3*g + g - 16 = y. Let c(o) = -o**3 + o**2. Let s(k) = -5*k**3 + 4*k**2. Let b(t) = g*s(t) - 22*c(t). What is p in b(p) = 0?
0, 3
Determine w, given that -146/5*w**2 + 336/5*w - 2/5*w**4 - 288/5 + 28/5*w**3 = 0.
3, 4
Factor 4/11 - 26/11*z + 40/11*z**2 - 18/11*z**3.
-2*(z - 1)**2*(9*z - 2)/11
Let l(x) = -x**3 - 4*x**2 - x + 2. Let s be l(-4). Suppose -5*f + s = -19. Find r, given that -3*r**5 + 2 + 4*r**3 - 4*r**2 - 7*r + f*r + r**5 + 2*r**4 = 0.
-1, 1
Factor 5/3*b**2 + 169280/3 + 1840/3*b.
5*(b + 184)**2/3
Let x = -2/6857 - -54878/75427. Factor -8/11*v - 2/11*v**2 - x.
-2*(v + 2)**2/11
Let l be ((-2)/6)/((-1)/18). Factor 3 - 6 + l*b + 7 + 2*b**2.
2*(b + 1)*(b + 2)
Let b(w) be the second derivative of w**6/210 - 9*w**5/140 + 5*w**4/42 + 6*w**3/7 - 4*w**2 - 529*w. Factor b(j).
(j - 7)*(j - 2)**2*(j + 2)/7
Let z(d) be the third derivative of -8*d**7/105 + 29*d**6/30 - 31*d**5/15 + d**4 + 2*d**2 + 293. Suppose z(a) = 0. Calculate a.
0, 1/4, 1, 6
Let p(t) = -4*t**4 - 64*t**3 - 105*t**2 - 45*t - 11. Let j(q) = -q**4 - 21*q**3 - 35*q**2 - 15*q - 4. Let i(s) = 11*j(s) - 4*p(s). Solve i(l) = 0 for l.
-3, -1, 0
Let j(k) be the first derivative of 5*k**6/6 - 2*k**5 + 10*k**3/3 - 5*k**2/2 - 15. Factor j(l).
5*l*(l - 1)**3*(l + 1)
Let k(o) be the third derivative of -36*o**2 + 25/3*o**3 - 1/12*o**5 + 0*o + 0 + 5/8*o**4. Factor k(a).
-5*(a - 5)*(a + 2)
Let a = 16828 + -117787/7. Solve a*s**4 - 24/7*s**3 - 8/7*s**2 + 32/7*s + 16/7 = 0 for s.
-2/3, 2
Factor 0 + 2/13*f**4 + 4/13*f - 4/13*f**3 - 2/13*f**2.
2*f*(f - 2)*(f - 1)*(f + 1)/13
Let x(p) be the first derivative of -2*p**6/15 - 3*p**5/5 + 11*p + 34. Let w(c) be the first derivative of x(c). Factor w(v).
-4*v**3*(v + 3)
Let x = -18 + 25. Let o + 2*o + x + 1 + 5*o + 2*o**2 = 0. What is o?
-2
Let n = 17005 - 17003. Let 1/2*w**n + 0 + 2/3*w**3 - 1/6*w = 0. What is w?
-1, 0, 1/4
Let i(x) be the first derivative of 15*x**6/2 - 6*x**5 - 10*x**4 + 10*x**3 - 5*x**2/2 + 28. Find q, given that i(q) = 0.
-1, 0, 1/3, 1
Let r = -14 + 23. Let j + 2 + 2*j - 33*j**2 - r*j + j = 0. Calculate j.
-1/3, 2/11
Let j = 10/381 + 712/1905. Find z such that -j + 0*z**2 + 2/5*z**4 - 4/5*z + 4/5*z**3 = 0.
-1, 1
Let 55/9*n**2 + 29/9*n + 4/3*n**3 + 4/9 = 0. What is n?
-4, -1/3, -1/4
Let g(d) be the third derivative of 0 - 1/98*d**7 - 3/140*d**5 + 9/280*d**6 + 0*d**3 + 0*d - 4*d**2 - 1/56*d**4. Solve g(s) = 0 for s.
-1/5, 0, 1
Suppose 3*c + 3*c - 44 = -4*b, 0 = -3*c - 18. Factor -8*u - b - 4/5*u**2.
-4*(u + 5)**2/5
Let z(j) = -j**5 + j**4 + j**2 - j - 1. Let r(l) = 8*l**5 - 5*l**4 - 3*l**3 - 11*l**2 + 11*l + 7. Let x(i) = 3*r(i) + 21*z(i). Find k, given that x(k) = 0.
-2, 0, 1
Let v(o) = -15*o**5 - 87*o**4 + 291*o**3 - 213*o**2 - 18*o + 42. Let q(a) = a**4 - a**3 - a**2 + 1. Let k(z) = 6*q(z) + v(z). Let k(j) = 0. Calculate j.
-8, -2/5, 1
Let k be 1 + 1*(0 - 1). Let t(l) be the third derivative of k*l - 1/60*l**6 - 2*l**2 + 0*l**4 + 1/30*l**5 + 0 + 0*l**3. Factor t(m).
-2*m**2*(m - 1)
Let n(s) = s. Let b be n(5). Factor -6*j**b + 10*j**5 + 8*j**3 + 16*j**5 + 2*j**4 + 26*j**4.
4*j**3*(j + 1)*(5*j + 2)
Let u = -35 + 20. Let p be (-12)/(-15)*u/(-2). Let -2*r - p*r**4 + r**2 - r**3 + 3*r + 5*r**4 + 0*r**4 = 0. What is r?
-1, 0, 1
Let m(i) be the third derivative of i**6/200 + i**5/5 + 17*i**4/10 + 32*i**3/5 + 97*i**2. Factor m(l).
3*(l + 2)**2*(l + 16)/5
Suppose -v - 2*v + 3 = -i, -4 = -5*i - 4*v. Factor 3*d**2 + i*d - 3*d - 3*d.
3*d*(d - 2)
Suppose 6*s = -5*n + 9*s + 18, 5*s = n + 14. Suppose 224*o**2 + 228*o**2 - 455*o