*a**3/7 + 6*a**2/7 - 9*a/7 - 70. Solve r(d) = 0.
-1, 1, 3
Suppose -5*i + 0*w + 2*w + 14 = 0, 0 = -5*w + 15. Determine u so that -72*u**i - 2*u**3 - 5*u**2 - u**3 + 73*u**4 + 0*u**5 + u**5 - 2*u = 0.
-1, 0, 2
Let h(v) be the third derivative of -v**10/37800 + v**8/2520 - v**6/180 - 9*v**5/20 - v**2 + 5*v. Let c(q) be the third derivative of h(q). Factor c(d).
-4*(d - 1)**2*(d + 1)**2
Let j = -45501 + 45510. Factor -3/2*q**2 + 21/2*q - j.
-3*(q - 6)*(q - 1)/2
Let m be (30/6 - 20)*(-13)/156. Factor 0*u**2 - 1/4*u**5 + m*u**4 - u**3 + 0 + 0*u.
-u**3*(u - 4)*(u - 1)/4
Let a(l) = -118*l + 1180. Let c be a(10). Solve 0 + c*s - 2/15*s**5 - 4/15*s**2 - 2/3*s**3 - 8/15*s**4 = 0.
-2, -1, 0
Let g = -247 + 253. Suppose 3*t = 4*y - y + 21, -2*t + 5*y + 29 = 0. Find k such that 3 + 4*k - g*k - 2*k**t + 4*k**2 - 3*k**2 = 0.
-3, 1
Let j(x) be the second derivative of x**4/36 - 25*x**3/18 + 4*x**2 - 15*x - 4. Suppose j(r) = 0. What is r?
1, 24
Factor -1308/5*t - 3/5*t**2 - 142572/5.
-3*(t + 218)**2/5
Let x(y) be the second derivative of -y**4/54 - 8*y**3/27 - 3*y + 18. Factor x(u).
-2*u*(u + 8)/9
Let j be ((-11)/(-66))/(6/8). Find v such that -j*v**3 + 0*v**2 + 0*v - 2/9*v**4 + 0 = 0.
-1, 0
Let k(i) be the second derivative of -i**4/20 - 57*i**3/5 - 9747*i**2/10 + 12*i - 4. Determine r so that k(r) = 0.
-57
Let t be (-13)/7 + (-1)/7 - 1095/(-511). Determine x so that -t*x**2 + 0 - 4/7*x = 0.
-4, 0
Let k(g) be the second derivative of -g**4/2 - 3*g**3/2 + 27*g**2/2 + 3*g. Factor k(a).
-3*(a + 3)*(2*a - 3)
Suppose 0 = -l - 8 + 10. Let q be 1/l*1 + (-31)/(-124). What is i in -q*i**2 - 3*i + 0 = 0?
-4, 0
Let i(c) = 370*c**2 - 370*c**2 - c**3. Let u(h) = -7*h**3 - 5*h**2 + 5*h + 5. Let w(v) = -2*i(v) + u(v). Suppose w(b) = 0. What is b?
-1, 1
Let i be (12/10)/(34*24/2040). Factor 0 + 2/3*j**2 - 1/3*j**i - 2/3*j**4 + 1/3*j.
-j*(j - 1)*(j + 1)*(2*j + 1)/3
Suppose -21*d + 10 = -10*d - 34. Solve -1/4*y**3 + 0*y**2 + 0 - 1/4*y**d + 0*y = 0 for y.
-1, 0
Let l(q) be the first derivative of -q**8/336 + q**7/210 + q**6/40 - q**5/60 - q**4/12 - 13*q**2/2 + 12. Let f(k) be the second derivative of l(k). Factor f(w).
-w*(w - 2)*(w - 1)*(w + 1)**2
Let u(n) be the second derivative of -n**6/180 + n**5/12 - n**4/2 - n**3/3 + 19*n. Let r(z) be the second derivative of u(z). Factor r(g).
-2*(g - 3)*(g - 2)
Let u(w) be the first derivative of w**3/15 - 4*w**2/5 + 7*w/5 + 107. What is b in u(b) = 0?
1, 7
Let c = 23 + -21. Find r, given that 0*r**4 - 6*r**3 + 0*r**c - 2*r**2 + 2*r**4 + 6*r**5 + 0*r**2 = 0.
-1, -1/3, 0, 1
Let x(w) be the second derivative of -w**5/20 + w**4/4 - w**3/3 + 3*w**2 - 15*w. Let t be x(3). Find r such that 4/15*r + 2/15*r**2 + t = 0.
-2, 0
Suppose 2*s - 30 = -s - 3*a, -5*s + a + 20 = 0. Let c = -1448 + 1453. Find k, given that -k**3 + 2*k**s + k**2 - k**c - 3*k**2 - 3*k**4 + 5*k**4 = 0.
-2, -1, 0, 1
Suppose -5 + 13/6*i - 1/6*i**2 = 0. Calculate i.
3, 10
Let -1257 - 1345*x**3 + 2529 + 684*x**4 - 268*x - 81*x**5 + 986*x**2 - 1248 = 0. What is x?
2/9, 1, 6
Let i be 0/(44/6*(-834)/556). Factor 6/7*s**2 + 0 + i*s - 2/7*s**3.
-2*s**2*(s - 3)/7
Let r = 422 - 6326/15. Let q = 16/15 + r. Solve -q + 4/3*d**2 + 0*d = 0.
-1, 1
Let g(c) be the third derivative of -c**8/2184 - c**7/1365 + c**6/780 + c**5/390 - 181*c**2. Let g(l) = 0. What is l?
-1, 0, 1
Determine o, given that 10/9*o - 1/9*o**2 + 0 = 0.
0, 10
Let u = -45 - -17. Let l be u/210 + (-47)/(-15). What is b in 2 + b**4 + l*b**3 + 4*b**4 + 10*b**2 + b**5 + 5*b + 7*b**3 - 1 = 0?
-1
Let b = -1105 - -1108. Let j(h) be the second derivative of 2/5*h**5 + 6*h + 2/15*h**6 + 8*h**2 + 0 - h**4 - 8/3*h**b. Factor j(r).
4*(r - 1)**2*(r + 2)**2
Suppose 2/5*i**2 + 104/5 + 34/5*i = 0. What is i?
-13, -4
Suppose -3*d + 8*d = 4*o - 41, -3*o - 13 = 5*d. Suppose 89 = o*i + 89. Factor 0*l - 2/13*l**4 + i + 8/13*l**3 - 8/13*l**2.
-2*l**2*(l - 2)**2/13
Let a be (-49)/392*(-1 + 34/(-2)). Find n such that -a*n**4 - 3/2*n + 0 + 15/4*n**2 + 3*n**3 = 0.
-1, 0, 1/3, 2
Let y(d) be the third derivative of d**8/1344 - 17*d**7/840 + 21*d**6/160 + 27*d**5/80 + 2*d**2. Factor y(c).
c**2*(c - 9)**2*(c + 1)/4
Let g be ((-3)/(-4))/((-222)/(-370)). Factor -3/4*k**2 - 1/4*k**4 + 1 - g*k**3 + 5/4*k.
-(k - 1)*(k + 1)**2*(k + 4)/4
Let k be 1/((-4)/(-12)) + (-7666)/(-26). Let u = 298 - k. Factor -u - 14/13*f**3 - 10/13*f - 4/13*f**4 - 18/13*f**2.
-2*(f + 1)**3*(2*f + 1)/13
Let u(b) be the first derivative of -1/75*b**5 - 1 + 4/15*b**3 + 0*b + 3*b**2 - 1/30*b**4. Let y(k) be the second derivative of u(k). Let y(j) = 0. What is j?
-2, 1
Let i(z) = -2*z**4 + z**3 - 4*z**2 + 11*z + 13. Let l(w) = -w**3 + 2*w**2 + w - 1. Let p(j) = -i(j) - 5*l(j). What is s in p(s) = 0?
-2, -1, 2
Let k(x) be the second derivative of -x**4/4 + 27*x**3/2 + 14*x. Factor k(m).
-3*m*(m - 27)
Suppose 14*q = 119 - 77. Find s such that 23/2*s**2 - 10*s + 2 - 7/2*s**q = 0.
2/7, 1, 2
Let n(s) be the third derivative of 0 + 0*s**4 + 0*s + 5*s**2 + 1/105*s**5 - 8/21*s**3. Solve n(v) = 0 for v.
-2, 2
Let z(q) = q**2 + 5*q + 1. Let i be z(-1). Let b be (7 + 2)*i/(-36). Factor b*c + 3/4*c**3 + 3/2*c**2 + 0.
3*c*(c + 1)**2/4
Let f(r) be the second derivative of r**4/90 + 14*r**3/15 - 2*r - 29. Suppose f(u) = 0. Calculate u.
-42, 0
Let b(t) be the second derivative of 0 + 1/4*t**4 - 37*t + 1/2*t**2 - 1/2*t**3 - 1/20*t**5. Factor b(z).
-(z - 1)**3
Let o(x) be the third derivative of -x**6/40 + x**5/5 + x**4/8 - 2*x**3 + 92*x**2 + 2*x. Determine z, given that o(z) = 0.
-1, 1, 4
Factor 11/10*c**2 - 1/10*c**3 + 4 - 19/5*c.
-(c - 5)*(c - 4)*(c - 2)/10
Factor -3/4*y**2 + 36 - 39/4*y.
-3*(y - 3)*(y + 16)/4
Let b = -7074 + 7074. Suppose 30/7*c**3 - 24/7*c**5 - 6/7*c + b + 18/7*c**4 - 18/7*c**2 = 0. Calculate c.
-1, -1/4, 0, 1
Let j(l) be the third derivative of l**5/165 - 9*l**4/44 + 13*l**3/33 + 72*l**2. Let j(h) = 0. What is h?
1/2, 13
Let l be 0/((-8)/6*(-24)/16). Suppose l = 5*s + 37 - 47. Suppose 0 + 0*c - 1/5*c**4 - 1/5*c**s - 2/5*c**3 = 0. What is c?
-1, 0
Let q(y) be the first derivative of -y**5/15 - 5*y**4/6 - 8*y**3/3 + 5*y**2/3 + 25*y/3 - 8. Suppose q(v) = 0. Calculate v.
-5, -1, 1
Let f(m) be the first derivative of m**6/27 + 8*m**5/45 + m**4/6 - 8*m**3/27 - 4*m**2/9 - 150. Find r, given that f(r) = 0.
-2, -1, 0, 1
Let m(q) be the second derivative of 0 - 13*q + 1/4*q**4 + 3*q**2 + 3/2*q**3. Factor m(b).
3*(b + 1)*(b + 2)
Let c(x) be the third derivative of -186/35*x**7 - 33*x**2 - 67/5*x**5 - 8*x**4 + 0 + 0*x - 71/6*x**6 - 27/28*x**8 - 8/3*x**3. Factor c(l).
-4*(l + 1)**3*(9*l + 2)**2
Let l = -106 + 168. Let c = -59 + l. Factor 0 + 2/5*p**2 + 4/5*p - 2/5*p**c.
-2*p*(p - 2)*(p + 1)/5
Let a be (-2)/(-4)*(-1 - -5). Suppose -2 - 9 = a*o - 5*b, 3 = 3*o - b. Factor 10*x**4 + 11*x**2 + 2*x + 2*x**o + 8*x**4 + 5*x**4 + 7*x**5 + 27*x**3.
x*(x + 1)**3*(7*x + 2)
Let x(w) be the second derivative of w**5/50 + w**4/20 - 100*w. Factor x(s).
s**2*(2*s + 3)/5
Suppose -46875/8 - 13125/2*p - 57/2*p**3 - 2925/4*p**2 - 3/8*p**4 = 0. Calculate p.
-25, -1
Let i = 215/148 + -15/74. Solve -i*r**5 + 0*r**2 + 1/2*r**3 + 0 + 0*r - 3/4*r**4 = 0.
-1, 0, 2/5
Let y = -1 - -3. Suppose 2*f + 3*f - 3*t = 9, -2*t + 13 = 3*f. Factor k**y + 9 + k + 0 - 10 - k**f.
-(k - 1)**2*(k + 1)
Let h(l) be the third derivative of -l**7/840 - l**6/32 - l**5/5 + 2*l**4/3 + 127*l**2 + 3. What is s in h(s) = 0?
-8, 0, 1
Solve 980*b**5 + 588*b**3 - 169*b**3 - 1654*b**3 - 320*b**2 - 4732*b**4 + 1024*b + 192 - 5629*b**3 = 0.
-1, -2/7, 2/5, 6
Factor 15*z**4 + 0*z**5 - 12*z**2 - 7*z**2 - z**2 - 5*z**5.
-5*z**2*(z - 2)**2*(z + 1)
Suppose 0 = 4*n - 4, -3*x = 5*n + 7*n - 18. Suppose -10/3*o**x - 2/3*o**4 - 4/3*o - 8/3*o**3 + 0 = 0. Calculate o.
-2, -1, 0
Suppose 0 = 9*l - 0*l + 2565. Let w = l + 288. Factor 0*n - 2/13*n**w + 6/13*n**2 - 8/13.
-2*(n - 2)**2*(n + 1)/13
Let r(c) = -65*c**2 - 1210*c - 5225. Let i = -62 + 65. Let d(n) = 5*n**2 + 93*n + 402. Let o(u) = i*r(u) + 40*d(u). Factor o(w).
5*(w + 9)**2
Suppose 51 - 69 = -109*k + 418. Factor -5/2*g**5 + 5*g**k - 5*g**2 + 0 + 0*g**3 + 5/2*g.
-5*g*(g - 1)**3*(g + 1)/2
Factor 1 - 7*l**2 - 7 + l + 7 + 9 - 3 - l**3.
-(l - 1)*(l + 1)*(l + 7)
Factor 41*d - d**2 - 47*d - 2*d**3 - 7*d**2.
-2*d*(d + 1)*(d + 3)
Let a(s) be the second derivative of s**7/252 + s**6/60 + s**5/40 + s**4/72 - 97*s. Find q