 + 3/7*v - 3/7*v**4 + 1/7 - 2/7*v**3 - 1/7*v**5 = 0. What is v?
-1, 1
Let i(r) be the first derivative of -r**7/210 - r**6/24 + r**5/60 + 5*r**4/24 + 2*r**2 - 12. Let a(w) be the second derivative of i(w). Let a(b) = 0. What is b?
-5, -1, 0, 1
Let k(q) be the first derivative of q**3/3 + 9*q**2/2 - 10*q - 1. Factor k(l).
(l - 1)*(l + 10)
Let r(p) = 64*p + 194. Let c be r(-3). Determine k, given that 3/5*k**c + 6/5 + 9/5*k = 0.
-2, -1
Let -1 + 28*m**2 - 5*m - m**4 + m**3 - 15*m**2 + 3 - 10*m**2 = 0. Calculate m.
-2, 1
Let x(j) be the first derivative of -j**5/10 - 2*j**4/3 - 4*j**3/3 + 22*j + 14. Let o(p) be the first derivative of x(p). Factor o(k).
-2*k*(k + 2)**2
Let z(n) be the third derivative of -n**9/423360 - n**8/47040 + 29*n**5/60 - 2*n**2 - 8*n. Let t(x) be the third derivative of z(x). Solve t(p) = 0 for p.
-3, 0
Let f(c) be the first derivative of c**4/14 + 20*c**3/7 + 225*c**2/7 - 33. Solve f(k) = 0.
-15, 0
Suppose -h**3 - 560*h - 192 + 143/3*h**2 = 0. Calculate h.
-1/3, 24
Suppose -11*i + 93 - 5 = 0. Let y be i/(-7)*(-2 + 7/7). Factor -y*c + 0*c**2 + 6/7*c**3 - 2/7*c**4 + 0.
-2*c*(c - 2)**2*(c + 1)/7
Let k(h) be the third derivative of -h**7/120 + 5*h**6/24 - 119*h**5/240 + 13*h**4/48 - 11*h**2 + h. Determine p, given that k(p) = 0.
0, 2/7, 1, 13
Suppose 4 = -0*p + 4*p. Suppose p = -2*q + 3. What is l in 97*l**2 + 71*l**2 + 57*l - 75*l**3 - 48*l**2 + 7 - q = 0?
-1/5, 2
Let n be (-241)/36 + (-3)/36*-3. Let a = -52/9 - n. Solve a + 2/3*r**2 - 4/3*r = 0 for r.
1
Let u(a) be the first derivative of -5 + 2*a**3 - 8*a - 4*a**2 + a**4 - 2/5*a**5. Determine q, given that u(q) = 0.
-1, 2
Let w(k) be the first derivative of 2*k**5/25 + 9*k**4/10 + 14*k**3/5 + 19*k**2/5 + 12*k/5 - 18. Solve w(d) = 0 for d.
-6, -1
Let g(q) be the third derivative of 1/60*q**5 + 0 + 0*q + 10*q**2 + 0*q**3 + 7/24*q**4. Factor g(c).
c*(c + 7)
Let c(y) be the first derivative of y**9/1008 + y**8/560 - y**7/280 - y**6/120 + 8*y**3 - 59. Let g(o) be the third derivative of c(o). Factor g(j).
3*j**2*(j - 1)*(j + 1)**2
Let w(n) = n**3 - n**2 + 2*n + 2. Let f be w(0). Factor 4*c**2 + f*c - c - 6*c**2 + 5*c - 4.
-2*(c - 2)*(c - 1)
Let c(g) = -4*g**2 - 2*g + 6. Let o(p) = p**2 - p. Let x(r) = -c(r) - 5*o(r). Let k be x(6). Factor -4*w + 3*w + w**3 + k*w**3.
w*(w - 1)*(w + 1)
Let p(i) = -7*i**4 + 445*i**3 - 5712*i**2 + 6426*i - 1152. Let y(v) = -v**4 - v**3 - v**2 + 3*v. Let w(j) = -p(j) - 2*y(j). Factor w(b).
(b - 24)**2*(b - 1)*(9*b - 2)
Let c(v) = v + 1. Let w be (5/(-4) - 9/12)/(-2). Let g(r) = -4*r**2 + 14*r + 18. Let x(l) = w*g(l) - 6*c(l). Let x(u) = 0. Calculate u.
-1, 3
Let y = 3282 - 3282. Factor 0*m - 6*m**3 + 3/2*m**5 + y + 12*m**2 - 3*m**4.
3*m**2*(m - 2)**2*(m + 2)/2
Let w(i) be the second derivative of i**6/120 - i**5/10 + 3*i**4/8 + 17*i**3/6 - 16*i. Let n(l) be the second derivative of w(l). Factor n(y).
3*(y - 3)*(y - 1)
Let i(r) be the third derivative of -r**6/200 - 7*r**5/300 + 11*r**4/60 + 4*r**3/15 + 370*r**2. Factor i(a).
-(a - 2)*(a + 4)*(3*a + 1)/5
Let c = 313 - 307. Let i(g) be the third derivative of -1/420*g**c + 0*g**5 + 0*g + 0*g**3 - 1/735*g**7 + 0 - 2*g**2 + 0*g**4. Determine u so that i(u) = 0.
-1, 0
Let p = 1/6177 + 6173/24708. Factor 0*o + 0 - p*o**2 + o**3.
o**2*(4*o - 1)/4
Suppose -4*l = u - 11, -6*u + 3*u = 3*l - 15. Suppose 13 = -g + 4*g + s, -5*g = 2*s - 22. Factor -3 + 6*d**l + g - 2*d - 6*d + 1.
2*(d - 1)*(3*d - 1)
Let n(h) = 5*h**3 + 7*h**2 - 5*h. Let o(w) be the first derivative of w**4/2 + w**3 - w**2 - 28. Let z(s) = -6*n(s) + 14*o(s). Factor z(r).
-2*r*(r - 1)*(r + 1)
Let x = 153 + -120. Suppose -4*w - 4*z = -28, 2*w + 4*z - x = -9. Let -2/11 + 6/11*s**w + 0*s + 4/11*s**3 = 0. What is s?
-1, 1/2
Let i(r) = 3*r**5 - 15*r**4 + 9*r**3 - 9*r**2 + 12*r + 12. Let g(j) = -j**4 + j**3 - j**2 + j + 1. Let p(y) = -12*g(y) + i(y). Factor p(z).
3*z**2*(z - 1)**2*(z + 1)
Let l = -291 - -293. Let o(a) be the first derivative of -2*a + 9/2*a**l - 7/3*a**3 - 4. Suppose o(f) = 0. Calculate f.
2/7, 1
Let w(i) be the second derivative of -8*i**7/21 + 134*i**6/15 - 83*i**5 + 1108*i**4/3 - 1952*i**3/3 - 640*i**2 - 179*i. Find f such that w(f) = 0.
-1/4, 4, 5
Let t(y) be the third derivative of -y**6/240 - 2*y**5/15 + 35*y**4/48 - 3*y**3/2 + 123*y**2 - 2*y. Factor t(k).
-(k - 1)**2*(k + 18)/2
Let t = 160 + -136. Suppose -5*b - u = 2*u - t, b - 9 = -2*u. Factor 0 + 1/5*l**4 - 1/5*l + 1/5*l**b - 1/5*l**2.
l*(l - 1)*(l + 1)**2/5
Let n be 0*((-6)/(-12))/1*(-3)/(-6). Solve 4/7*z**2 - 6/7*z + n + 2/7*z**3 = 0.
-3, 0, 1
Let h(o) = o**2 + 6*o + 4. Let p be h(-5). Let m be (-3 - p) + 1 + 3. Factor -3*t**3 - 4*t**4 - 3*t**4 + m*t**2 - 2*t**3.
-t**2*(t + 1)*(7*t - 2)
Factor 38*y**4 - 2*y**5 - 79*y**4 + 45*y**4 + y**5.
-y**4*(y - 4)
Let a be (-42)/(-126)*(-24)/(-5). Find o such that -a*o**3 + 4/5*o**4 + 8/5*o + 12/5 - 16/5*o**2 = 0.
-1, 1, 3
Let x(c) = 15*c**2 + 35*c + 25. Suppose -22*b + 19*b - 15 = 0. Let k(n) = -23*n**2 - 53*n - 38. Let y(z) = b*k(z) - 8*x(z). What is q in y(q) = 0?
-2, -1
Suppose 9 + 7 = 4*h. Let j be (((-54)/h)/(-3))/6. Let -j*b**3 + 0*b**2 + 3/4*b + 0 = 0. What is b?
-1, 0, 1
Let r(w) be the second derivative of -2*w - 3 + 1/120*w**6 + 3/40*w**5 + 5/48*w**4 + 0*w**2 - 1/2*w**3. Factor r(x).
x*(x - 1)*(x + 3)*(x + 4)/4
Let q be ((-25)/(2450/(-28)))/((-12)/(-7)). Let c(g) be the second derivative of 0 + 0*g**2 - 9*g - 2/33*g**3 - q*g**4. Solve c(u) = 0.
-2/11, 0
Determine p, given that -16*p**5 + 13*p**3 + 6*p**3 + 40*p**2 - 235*p**4 + 127*p**4 - 151*p**3 = 0.
-5, -2, 0, 1/4
Let l(i) be the second derivative of -i**5/25 - 106*i**4/5 - 22472*i**3/5 - 2382032*i**2/5 - 8*i + 11. Determine y so that l(y) = 0.
-106
Suppose -7*l**3 + 15*l**3 + l**4 + 2*l**4 - 17*l**3 = 0. What is l?
0, 3
Let 0*g + 1/5*g**4 - 41/5*g**2 + 8*g**3 + 0 = 0. Calculate g.
-41, 0, 1
Factor 8/9*b**3 + 3 - 2*b**2 - 1/9*b**4 + 0*b.
-(b - 3)**3*(b + 1)/9
Let w be 0 + 70/15 - 1. Let j = -119 + 121. Factor 13/3*s**j + w*s + 4/3*s**3 + 2/3.
(s + 1)*(s + 2)*(4*s + 1)/3
Factor -339*w + 5*w**4 + 280 - 336*w + 575*w + 25*w**3 - 90*w**2.
5*(w - 2)**2*(w + 2)*(w + 7)
Let u = 448/663 - 2/221. Find x such that 0 - 2/3*x**2 + 4/3*x - u*x**3 = 0.
-2, 0, 1
Let s(u) = 5*u**4 - 15*u**3 - 20*u**2 + 25*u. Let l(f) = 0*f**2 + 0*f**2 - f + f**3 + f**2. Let k(c) = -25*l(c) - s(c). Factor k(v).
-5*v**2*(v + 1)**2
Let n = -66 + 70. Factor -5*z**5 + 15 - 5*z**n + 72*z**3 + 3*z**3 + 70*z**2 - 45*z**3 + 55*z.
-5*(z - 3)*(z + 1)**4
Let 56/13*i + 2/13*i**3 - 32/13*i**2 + 0 = 0. Calculate i.
0, 2, 14
Let d(v) = 5*v**2 - 6*v**3 + 8*v**2 + 8*v + 2*v**3. Let r(c) = c**3 - 3*c**2 - 2*c. Let b(n) = -2*d(n) - 9*r(n). Suppose b(t) = 0. What is t?
-1, 0, 2
Suppose -2*a - 6 = -5*j, -3*j = -2*a - 2 - 0. Let q(d) be the first derivative of 0*d + d**4 - 2*d**j - 18/5*d**5 + 6*d**3 + 6. Factor q(n).
-2*n*(n - 1)*(n + 1)*(9*n - 2)
Let h(x) = 4*x**3 + 6*x**2 + 18*x + 4. Let z(m) = -11*m**3 - 18*m**2 - 54*m - 13. Let y(u) = -17*h(u) - 6*z(u). Find g such that y(g) = 0.
-1, 5
Let s(a) be the second derivative of 1/600*a**5 - a**3 + 0 + 0*a**4 - 4*a - 1/1800*a**6 + 0*a**2. Let c(j) be the second derivative of s(j). Factor c(i).
-i*(i - 1)/5
Let c = 79 + -75. Let r be 3/12 + ((-249)/(-60) - c). Factor r*q**2 - 2/5*q**3 + 0 + 0*q.
-2*q**2*(q - 1)/5
Factor -1/2*w + 1/3 + 1/6*w**3 + 0*w**2.
(w - 1)**2*(w + 2)/6
Let a = 10 + -8. Let u(w) = -3*w + 5*w**a + 11 - 19*w**2 + 11*w**2. Let d(z) = -z**2 - z + 4. Let x(m) = 11*d(m) - 4*u(m). Determine k, given that x(k) = 0.
-1, 0
Let q(s) = 2*s**3 - 3*s**2 + s + 4. Let x be q(2). Let -2*a**3 - 2*a**3 + x*a**3 - 5*a**3 - a**2 = 0. Calculate a.
0, 1
Let m be 116/(-2)*1/2. Let v = -26 - m. Suppose -2*l**3 - 13*l + 15*l + 0*l**v = 0. Calculate l.
-1, 0, 1
Let y(x) be the first derivative of -x**3/30 - 37*x**2/20 + 19*x/5 + 112. Factor y(s).
-(s - 1)*(s + 38)/10
Let t(v) = -9*v**2 + 3*v + 18. Let c(h) = -h**2 + h + 2. Let b(l) = -6*c(l) + t(l). Factor b(x).
-3*(x - 1)*(x + 2)
Determine l, given that 2*l**4 - 481*l**3 + 4 - 4 + 477*l**3 = 0.
0, 2
Let l(f) be the first derivative of f**4/14 + 6*f**3/7 - 216*f/7 - 186. Factor l(b).
2*(b - 3)*(b + 6)**2/7
Let q = 6158 + -6156. Solve 5/2*l - 3/4 - l**3 + 9/4*l**q = 0 for l.
-1, 1/4, 3
Let p(g) = 1 + 4 + 2*g - 7*g**2 - 3*g**3 + g + 2*g