 Suppose v(r) = 0. What is r?
0, 1, 2
Let r be (-234)/52 + (-18)/(-3). Let n(h) be the first derivative of 6 + r*h - 1/4*h**3 - 3/20*h**5 + 9/16*h**4 - 9/8*h**2. What is d in n(d) = 0?
-1, 1, 2
Find l such that -l**2 - 17*l + 146 - l**2 - 242 + 0*l**2 + 55*l = 0.
3, 16
Factor 87/5*j - 3/5 - 84/5*j**2.
-3*(j - 1)*(28*j - 1)/5
Solve -24*n**2 - 2*n**3 + n**4 + 33*n**2 - 8*n**2 = 0.
0, 1
Factor -1/6*v**2 - 25/2*v + 0.
-v*(v + 75)/6
Let d = -2/15829 - 14491/10589601. Let l = d - -4021/4683. Factor -4/7 + 6/7*j**3 - l*j + 2/7*j**4 + 2/7*j**2.
2*(j - 1)*(j + 1)**2*(j + 2)/7
Let o(p) be the second derivative of -p**5/60 - p**4/36 + p**3/9 - 3*p - 14. Determine a so that o(a) = 0.
-2, 0, 1
Let v(q) = 14*q**2 + 8*q + 8. Let n(b) = -5*b**2 - 2*b - 3. Let k(s) = 8*n(s) + 3*v(s). Let u(l) = -l**2 - 3*l. Let m(c) = -3*k(c) - 8*u(c). Factor m(y).
2*y**2
Suppose -2*c = -2*r + 34, r - 11 = -c - 0*c. Let u be (-12)/r*40/(-30). Determine f so that 4/7 + 2/7*f + 2/7*f**5 - u*f**2 + 4/7*f**4 - 4/7*f**3 = 0.
-2, -1, 1
Let z(m) be the first derivative of -4*m**3/9 - 32*m**2/3 + 320*m/3 - 526. Find q, given that z(q) = 0.
-20, 4
Let a = 8 + 4. Let p(h) = -126*h**3 - 112*h**2 + 22*h + 2. Let k(v) = 81*v**2 - 82*v**2 + 4 - v - 3. Let z(b) = a*k(b) + 2*p(b). Find m such that z(m) = 0.
-1, -2/9, 2/7
Let m(h) be the third derivative of h**7/15120 + h**6/2160 - 11*h**4/24 - 10*h**2. Let z(a) be the second derivative of m(a). Factor z(k).
k*(k + 2)/6
Let c(b) be the third derivative of b**8/3360 + b**7/840 - 7*b**6/720 + b**5/60 + 14*b**3/3 + 37*b**2. Let x(u) be the first derivative of c(u). Factor x(p).
p*(p - 1)**2*(p + 4)/2
Suppose 0 = -4*z + 5*w + 23, 0*w = 3*w - 15. Let n(o) be the first derivative of 3/4*o**4 - 3*o + o**3 - 3/2*o**2 - z. Determine l so that n(l) = 0.
-1, 1
Let k(q) be the first derivative of -10 + 0*q - 2/55*q**5 + 0*q**2 - 3/11*q**4 - 6/11*q**3. Factor k(t).
-2*t**2*(t + 3)**2/11
Let u be ((-160)/(-170))/8 - 330/(-85). Let -9/2*i**u + 0 - 3/2*i**5 + 36*i + 42*i**2 + 9*i**3 = 0. Calculate i.
-2, 0, 3
Factor -4 - 141*u - 5*u**2 + 7*u**2 + 139*u.
2*(u - 2)*(u + 1)
Let q(i) be the second derivative of -1/24*i**4 - 1/2*i**2 + 0 - 23*i + 1/4*i**3. Determine g so that q(g) = 0.
1, 2
Let t(w) be the third derivative of 1/60*w**5 + 0 + 1/270*w**6 + 4*w**2 + 0*w + 1/6*w**3 + 1/36*w**4. Let f(m) be the first derivative of t(m). Factor f(l).
2*(l + 1)*(2*l + 1)/3
Let x(b) be the second derivative of 0 + 15/2*b**3 + 20/3*b**4 + 5*b**2 + 5/42*b**7 + 7/2*b**5 + 7*b + b**6. Factor x(q).
5*(q + 1)**4*(q + 2)
Let m(l) be the first derivative of 2*l**3/21 - 59*l**2/7 + 235. Suppose m(j) = 0. What is j?
0, 59
Let p(d) be the third derivative of d**7/1260 + d**6/135 - d**5/180 - d**4/9 + 8*d**3/3 + 3*d**2. Let v(s) be the first derivative of p(s). Factor v(n).
2*(n - 1)*(n + 1)*(n + 4)/3
Let f(y) be the first derivative of 2*y**6/3 + 4*y**5/5 - 2*y**4 - 8*y**3/3 + 2*y**2 + 4*y + 168. Factor f(n).
4*(n - 1)**2*(n + 1)**3
Let m be ((-6)/10)/((-3)/10). Suppose -2*p + 53*p**3 - 51*p**3 - m*p**2 + 2*p = 0. Calculate p.
0, 1
Let f(r) = 16*r**2 - 525*r + 263. Let m(s) = -190*s**2 + 6300*s - 3155. Let w(t) = -35*f(t) - 3*m(t). Solve w(j) = 0 for j.
1/2, 52
Let g(u) be the first derivative of -u**5/100 + u**4/60 + 3*u**2 + 4. Let i(n) be the second derivative of g(n). Factor i(y).
-y*(3*y - 2)/5
Let v(b) be the third derivative of 3/4*b**3 + 1/32*b**4 + 28*b**2 + 0*b + 0 - 1/480*b**6 - 1/60*b**5. Suppose v(l) = 0. What is l?
-3, 2
Let d(c) = -2*c**3 + 5*c**2 + 3*c + 4. Let j be d(-6). Factor 5*i**3 + 598 - j + 5*i**2.
5*i**2*(i + 1)
Factor m**3 - 6*m - 4*m**2 + 5*m + m + 2*m**2.
m**2*(m - 2)
Let m be ((-2)/6)/(2/(-2)). Suppose 2*y - 6*y - 12 = 0, 4*o + 5*y = -7. Factor -m*w**3 + 1/3*w**4 + 0 - 1/3*w**o + 1/3*w.
w*(w - 1)**2*(w + 1)/3
Let n(k) be the third derivative of -7*k**6/360 - k**5/40 + k**4/6 + k**3 + 16*k**2. Let i(w) be the first derivative of n(w). Let i(t) = 0. Calculate t.
-1, 4/7
Let g(r) be the second derivative of -r**5/10 + 4*r**4/3 - 7*r**3/3 - 6*r + 2. Factor g(p).
-2*p*(p - 7)*(p - 1)
Let y(d) be the first derivative of 0*d - 13 - 5/6*d**2 + 5/4*d**4 + 10/9*d**3. What is j in y(j) = 0?
-1, 0, 1/3
Let b be -2 + ((-1)/(8/24) - -8). Determine s, given that -3/4 - 1/4*s**b - 7/4*s - 5/4*s**2 = 0.
-3, -1
Let g(z) be the second derivative of 1/19*z**3 + 0 - 1/190*z**5 + 0*z**4 + 2/19*z**2 - 20*z. Factor g(t).
-2*(t - 2)*(t + 1)**2/19
Let l(h) be the first derivative of h**3/15 - 3*h**2/10 + 2*h/5 - 172. Factor l(o).
(o - 2)*(o - 1)/5
Let t = -81 - -156. Suppose -5*s + 82 = x - 12, 0 = 4*s + x - t. Factor -21*p**4 + 7*p**2 + 16*p**3 - s*p**2 + 8*p**2 + 9*p**5.
p**2*(p - 1)*(3*p - 2)**2
Suppose -z + 0 = 3*g - 4, -3*z = 5*g. Factor -6*t**g + 2*t**4 - 4*t + 2*t + 7*t**2 - t**5 + 3*t**4 - 3*t**3.
-t*(t - 2)*(t - 1)**3
Let c(r) = r + 3. Let u be c(0). Let h(m) = m**3 + 34*m**2 - m - 32. Let j be h(-34). Factor -2/7*n + 6/7*n**j + 4/7*n**4 - 2/7 + 10/7*n**u.
2*(n + 1)**3*(2*n - 1)/7
Let y - 53 + 3*y - 3 - 13*y**2 + 17*y**2 + 8 = 0. What is y?
-4, 3
Let l(s) be the second derivative of -3*s**5/140 + 11*s**4/28 - 20*s**3/7 + 72*s**2/7 + 225*s. Factor l(a).
-3*(a - 4)**2*(a - 3)/7
Let f = -1990 + 1992. Factor 2/5*q**5 - 4/5*q**3 + 0*q + 0*q**f + 0 + 2/5*q**4.
2*q**3*(q - 1)*(q + 2)/5
Suppose -3*y + 8 = 4*p, -y - 12 + 20 = 4*p. Let 5/6*t + 1/6*t**p + 0 = 0. Calculate t.
-5, 0
Factor 40/17*j + 2/17*j**2 + 200/17.
2*(j + 10)**2/17
Let h(l) = 3*l**2 - 5*l. Let r be h(2). Suppose -r*n - 22 + 102 = 0. Factor -n*v**4 - 8*v**2 + 27*v**5 - 10*v**3 - 14*v**4 + 46*v**3.
v**2*(3*v - 2)**3
Determine u so that -1068*u + 890/3*u**3 + 25/3*u**4 + 108 + 7741/3*u**2 = 0.
-18, 1/5
Let h(a) = -44*a**2 + 3*a + 7. Let n(i) = -53*i**2 + 2*i + 7. Let z(t) = 6*h(t) - 5*n(t). Factor z(c).
(c + 1)*(c + 7)
Factor -5311*c**3 - 483*c + 55*c + 96*c**3 + 2812*c**2 - 49*c**4 + 180*c**2.
-c*(c + 107)*(7*c - 2)**2
Let a(o) be the first derivative of o**5/35 - o**4/28 - o**3/21 + o**2/14 + 156. Factor a(c).
c*(c - 1)**2*(c + 1)/7
Suppose 0 = -4*m + 9 + 7. Factor m*a - 2*a**4 - 1169 + 8*a**3 - 10*a**2 + 1169.
-2*a*(a - 2)*(a - 1)**2
Let f(w) be the third derivative of w**7/140 + 3*w**6/40 + 3*w**5/10 + 5*w**4/8 + 3*w**3/4 + 3*w**2 - 7. Factor f(v).
3*(v + 1)**3*(v + 3)/2
Let j(n) = 40*n**3 + 261*n**2 - 202*n + 29. Let p(h) = h**3 - 3*h**2 - 2*h - 1. Let g(l) = -j(l) + 4*p(l). Suppose g(y) = 0. What is y?
-33/4, 1/3
Let q be (-3 + 2)/(4/488). Let f = -851/7 - q. Suppose 0 - 3/7*u**2 + f*u**4 + 1/7*u**3 - 1/7*u = 0. Calculate u.
-1, -1/3, 0, 1
Let c(x) be the second derivative of -5*x**4/36 + 3*x**3/2 - 5*x**2/3 - 7*x + 11. Find r, given that c(r) = 0.
2/5, 5
Factor 9/8 + 3/2*j + 3/8*j**2.
3*(j + 1)*(j + 3)/8
Let 1/3*c**4 + 0 - 4/3*c**3 - 1/3*c**2 + 4/3*c = 0. Calculate c.
-1, 0, 1, 4
Let l be 10 + 5 + -6 + -9. Determine k, given that l*k**2 + 0 - 2/9*k + 2/9*k**3 = 0.
-1, 0, 1
Suppose 224*l + 221*l = 453*l - 112. Solve l*i - i**3 - 11/4*i**4 + 4 + 1/2*i**5 + 49/4*i**2 = 0 for i.
-1, -1/2, 4
Let p(i) be the second derivative of -3*i**5/10 + 5*i**4/4 - i**3 - 2*i - 7. Factor p(n).
-3*n*(n - 2)*(2*n - 1)
Let j = 5860 + -41018/7. Solve -4/7*x**4 - 6/7*x**2 - j*x + 10/7*x**3 + 2/7 = 0 for x.
-1/2, 1
Factor -2*s**4 + s**4 - 145 + 11*s**3 + 7*s**3 + 45 - 61*s**2 - 180*s.
-(s - 10)**2*(s + 1)**2
Let u(q) = 3*q**3 + 18*q**2 - 44*q. Let i(p) = 17*p**3 + 88*p**2 - 222*p. Let l(s) = -6*i(s) + 33*u(s). Factor l(c).
-3*c*(c - 20)*(c - 2)
Let j(a) be the first derivative of -a**6/160 - a**5/80 + 3*a**4/16 - 17*a**2/2 - a - 8. Let i(n) be the second derivative of j(n). Factor i(p).
-3*p*(p - 2)*(p + 3)/4
Let x be (-4)/(-408)*3*6. Let d = 5/68 + x. Factor 1/4*c**2 + 0*c + 0 - d*c**3.
-c**2*(c - 1)/4
Suppose 38*n - 55 = -55. Factor 0 - 1/6*c**4 - 1/3*c**3 + n*c**2 + 0*c + 1/6*c**5.
c**3*(c - 2)*(c + 1)/6
Let f(z) = -z**5 - 7*z**4 + 35*z**3 - 43*z**2 + 16*z. Let k(u) = 2*u**5 + 15*u**4 - 72*u**3 + 86*u**2 - 31*u. Let m(q) = -5*f(q) - 2*k(q). Factor m(r).
r*(r - 2)*(r - 1)**2*(r + 9)
Let r = -1161 + 1161. Factor 0*b + 2/3*b**5 + 0*b**2 + r*b**4 + 0 - 2/3*b**3.
2*b**3*(b - 1)*(b + 1)/3
Let o(n) be the third derivative of 0*n**3 + 3*n**2 - 2/315*n**7 + 0 + 2/45*n**5 - 1/60*n**6 + 0*n + 1/504*n**8 + 1/9*n**4. Factor o(b).
2*b*(b -