 + 3*s**r.
-2*s**3*(s - 1)**2
What is c in 1/2*c**3 + 17/8*c**2 - 5/8 - 2*c = 0?
-5, -1/4, 1
Let f(s) = 45*s**4 + 145*s**3 + 104*s**2 + 15*s + 5. Let l(y) = 4*y**4 - y + 1. Let m(p) = f(p) - 5*l(p). Let m(n) = 0. Calculate n.
-5, -2/5, 0
Let c(s) be the second derivative of -s**7/14 - 23*s**6/10 - 279*s**5/20 + 455*s**4/4 - 169*s**3 - 308*s. What is i in c(i) = 0?
-13, 0, 1, 2
Let 51/4*l - 3/8*l**2 - 867/8 = 0. Calculate l.
17
Let u(d) be the first derivative of 4*d**5/35 - 4*d**3/7 + 4*d**2/7 + 27. Factor u(y).
4*y*(y - 1)**2*(y + 2)/7
Let j(q) = q**3 + 1. Let l(f) = -2*f**4 - 16*f**3 - 12*f**2 + 64*f + 62. Let a(i) = 2*j(i) + l(i). Let a(w) = 0. Calculate w.
-4, -1, 2
Let x(a) be the third derivative of a**7/420 + 5*a**6/48 - 37*a**5/40 + 143*a**4/48 - 29*a**3/6 + 267*a**2. Determine p so that x(p) = 0.
-29, 1, 2
Let s(q) be the second derivative of -q**6/360 - q**5/40 - 7*q**3/6 - 4*q. Let z(u) be the second derivative of s(u). Factor z(a).
-a*(a + 3)
Let o(u) be the second derivative of u**7/147 - u**5/10 - u**4/21 + 4*u**3/7 + 8*u**2/7 - u - 18. Determine r so that o(r) = 0.
-2, -1, 2
Let a(y) = y**3 + 13*y**2 - y - 11. Suppose 3*o = 0, 0 = -0*r - 2*r - o - 26. Let s be a(r). Factor 5 + 6*u + 8 + u**s - 4.
(u + 3)**2
Factor -549/8*t**2 - 6128487/8 - 1/8*t**3 - 100467/8*t.
-(t + 183)**3/8
Let v(k) be the third derivative of k**7/168 + 13*k**6/96 + 5*k**5/8 - 5*k**4/24 - 25*k**3/3 + 215*k**2. Solve v(g) = 0.
-10, -2, 1
Let i(o) be the first derivative of 0*o**2 + 1/42*o**4 - 8 + 0*o**3 + 2/105*o**5 + 0*o. Factor i(w).
2*w**3*(w + 1)/21
Let j(z) = 4*z**2 - 1. Let y(v) = v**3 - 5*v**2 - 2*v. Let i be y(5). Let u(o) = 7*o**2 - o - 1. Let c(g) = i*j(g) + 6*u(g). Factor c(p).
2*(p - 2)*(p - 1)
Suppose -2*r = 5*z + 1 - 18, 4*z = 5*r + 40. Let d(i) = 11*i + 49. Let s be d(r). Factor 12/5*n**3 + 2/5*n**s + 2/5*n + 0 - 8/5*n**2 - 8/5*n**4.
2*n*(n - 1)**4/5
Let s(r) be the first derivative of 18 - 4/5*r**2 + 4/15*r**3 + 0*r + 1/5*r**4. Determine h, given that s(h) = 0.
-2, 0, 1
Let l(h) be the first derivative of -9/2*h**2 - 16/5*h**5 + 0*h + 8*h**3 + 7/2*h**4 - 5 + 1/2*h**6. Suppose l(z) = 0. What is z?
-1, 0, 1/3, 3
Factor 0*s + 0 + 1/4*s**4 - s**3 + 3/4*s**2.
s**2*(s - 3)*(s - 1)/4
Suppose b**5 - 25*b + 13*b**3 + 23*b**2 - 8*b**4 + 405 + 3*b**2 - 373 - 39*b = 0. Calculate b.
-2, 1, 4
Factor 30 + 30*g**3 + 2*g**5 - 12*g**4 - 65*g + 2*g**4 - 5*g**5 + 0*g**5 - 2*g**5 + 20*g**2.
-5*(g - 1)**3*(g + 2)*(g + 3)
Let v(f) be the second derivative of -f**7/14 - f**6/5 + 18*f**5/5 - 4*f**4 - 40*f**3 + 144*f**2 + 65*f. Factor v(i).
-3*(i - 2)**3*(i + 2)*(i + 6)
Let k(i) be the first derivative of 25*i**4/26 + 180*i**3/13 - 27*i**2 + 216*i/13 + 346. What is s in k(s) = 0?
-12, 3/5
Let g(x) be the second derivative of -x**5/240 + x**3/24 + 9*x**2/2 + 23*x. Let a(b) be the first derivative of g(b). Let a(n) = 0. What is n?
-1, 1
Let n be (0 + 0)/(770/(-154)). Let p(v) be the first derivative of -8/5*v**5 + 10 + 0*v**2 - 4/3*v**3 + n*v + 3*v**4. Suppose p(h) = 0. What is h?
0, 1/2, 1
Let w(m) = -16*m**3 - 142*m**2 - 138*m - 6. Let p(x) = -14*x**3 - 141*x**2 - 137*x - 5. Let v(g) = -6*p(g) + 5*w(g). Suppose v(q) = 0. Calculate q.
-33, -1, 0
Let b be 289/102 + ((-14)/(-12) - 1). Let p(m) be the first derivative of 4 + 0*m + 2/3*m**b - 2*m**2. Factor p(s).
2*s*(s - 2)
Suppose 20*c - 16*c = 12. Suppose 5*t = -c*q + 10, -t - 29 = -5*q + 3*t. Find j such that 0*j + 0 - 10/9*j**q + 0*j**3 + 0*j**2 - 4/9*j**4 = 0.
-2/5, 0
Let a be (153/34 - (6 + -1))/(2/(-12)). What is j in -5/4*j**a + 1/4*j**4 + 2*j**2 + 0 - j = 0?
0, 1, 2
Let y be 0 + (2 - 122/44) + 2. Let k = y + -8/11. Factor -1/4*r**2 + k*r - 1/4.
-(r - 1)**2/4
Let k = 28854 - 28845. Factor 27 + 3/4*l**2 + k*l.
3*(l + 6)**2/4
Suppose -20 = -5*g, d + 5*g - 20 = 3*d. Let j be (d - 1) + 20/5. Factor -c**j + 1/2 - 1/2*c**2 + 3/4*c + 1/4*c**5 + 0*c**4.
(c - 2)*(c - 1)*(c + 1)**3/4
Let y = 1409 + -1409. Solve 0*u - 3/4*u**3 + y - 9/4*u**2 = 0.
-3, 0
Let l = 1688 - 1684. Factor 0*x - 2/3*x**2 + x**l + 0 - 1/3*x**3.
x**2*(x - 1)*(3*x + 2)/3
Determine l, given that -1/9*l**2 - 1936/9 - 88/9*l = 0.
-44
Let t(m) be the first derivative of -5*m**3/3 + 35*m**2 - 37. What is v in t(v) = 0?
0, 14
Let 25*u**2 + 73 - 53*u**2 - 64*u + 183 - 2*u**3 = 0. Calculate u.
-8, 2
Let l(s) = 12*s**3 + 6*s**2 + 30*s - 18. Let k(d) = d**3 + d. Let r(o) = -15*k(o) + l(o). Factor r(z).
-3*(z - 3)*(z - 1)*(z + 2)
Let n(i) = -i**4 - 3 - 315*i**2 - 5*i**3 + 6 + 312*i**2. Let j(y) = 2*y**4 + 6*y**3 + 4*y**2 - 4. Let x(b) = -3*j(b) - 4*n(b). Factor x(k).
-2*k**3*(k - 1)
Let -726/13 - 4/13*j**3 - 616/13*j - 94/13*j**2 = 0. What is j?
-11, -3/2
Let k(q) be the first derivative of 3*q**4/4 - 11*q**3 + 60*q**2 - 144*q - 24. Factor k(p).
3*(p - 4)**2*(p - 3)
Let v(u) be the second derivative of -u**5/70 - u**4/28 + u**3/21 + 3*u**2/14 + 75*u. Let v(w) = 0. Calculate w.
-3/2, -1, 1
Let q be (-32)/(-14) - 10/35. Determine a so that -23 - a**q + 48 - 25 + a = 0.
0, 1
Suppose 252/13*f - 2/13*f**2 - 250/13 = 0. Calculate f.
1, 125
Let z(j) be the first derivative of j**4 - 6*j**2 - 8*j + 25. Factor z(d).
4*(d - 2)*(d + 1)**2
Let p(h) be the second derivative of 7*h**7/9 + 280*h**6/9 + 1732*h**5/5 + 2800*h**4/9 + 784*h**3/9 - 75*h. Determine l so that p(l) = 0.
-14, -2/7, 0
Let y(i) be the third derivative of 0*i**3 + 0*i - 1/525*i**7 + 49*i**2 - 1/150*i**5 + 0*i**4 + 1/150*i**6 + 0. What is c in y(c) = 0?
0, 1
Let l(h) be the third derivative of h**7/630 - 7*h**6/120 + 22*h**5/45 - 11*h**4/6 + 32*h**3/9 + 41*h**2 + 2. Find j such that l(j) = 0.
1, 2, 16
Suppose 58*u = 53*u - 175. Let f be (-16)/(-28) + 20/u. Let 0*x + 0 + f*x**3 - 2/3*x**5 - 2*x**4 + 0*x**2 = 0. What is x?
-3, 0
Let j = 476 - 6187/13. Let b(l) be the second derivative of 0 + 7*l + 1/78*l**4 + j*l**3 + 2/13*l**2. Find i, given that b(i) = 0.
-2, -1
Determine t, given that -65 + 91 - 6*t**2 + 4*t**2 + 6*t - 2*t**2 - 56*t = 0.
-13, 1/2
Let 23*w**2 - 27*w**3 - 8*w**2 - 2*w + 4*w**4 + 6*w**4 = 0. What is w?
0, 1/5, 1/2, 2
Find v such that -v**2 - 31*v**3 + 11*v**2 - 14*v**3 = 0.
0, 2/9
Let b = 294/85 + -52/17. Factor b*y**2 - 2/5*y + 0.
2*y*(y - 1)/5
Let v = 572 + -567. Let a(l) be the third derivative of 0 + 3/4*l**4 + 0*l + 5*l**2 + 9/2*l**3 + 1/20*l**v. Let a(r) = 0. What is r?
-3
Solve 529/2*q + 0 + 1/2*q**3 + 23*q**2 = 0.
-23, 0
Let n = 7354 + -7354. Factor n + 0*a**4 + 3/2*a**3 - 3/4*a**5 - 3/4*a + 0*a**2.
-3*a*(a - 1)**2*(a + 1)**2/4
Let g be (-4)/10 + (-12)/(-30). Suppose 4*v - 8 = -g*v. Suppose 3*k**v - 5*k**2 + 5*k + k = 0. Calculate k.
0, 3
Let r(k) be the first derivative of k**3/3 - 11*k**2/2 + 12*k - 1. Let w be r(10). Suppose j**w + j**2 + 6*j - 2*j - 6 = 0. What is j?
-3, 1
Factor 85*x - 15 - 31*x**2 + 46*x**2 + 45*x**2 + 2*x**3 + 71 + 29*x.
2*(x + 1)**2*(x + 28)
Let t(b) = b**3 + b**2 + 1. Let o be 0 + -1 + 20 + -17. Let k(m) = 4*m**4 + 26*m**3 + 38*m**2 - 16*m - 46. Let u(c) = o*t(c) - k(c). Factor u(l).
-4*(l - 1)*(l + 2)**2*(l + 3)
Let p(d) be the first derivative of 2*d**3/3 + 3*d**2 - 110. Factor p(w).
2*w*(w + 3)
Let x(q) = 24*q**2 + 102*q + 14. Let k(v) = 47*v**2 + 201*v + 27. Let p(g) = 4*k(g) - 10*x(g). Factor p(b).
-4*(b + 4)*(13*b + 2)
Let u(s) be the second derivative of -1/16*s**4 + 1/120*s**5 + s - s**2 + 0*s**3 + 0. Let f(n) be the first derivative of u(n). Factor f(l).
l*(l - 3)/2
Determine n, given that 9 - 5274*n**2 + 5271*n**2 + 3 = 0.
-2, 2
Let v(g) be the third derivative of -g**7/105 + 2*g**6/75 + 2*g**5/75 + 6*g**2 - 4. Let v(p) = 0. Calculate p.
-2/5, 0, 2
Factor -15*l**2 + 50*l**2 + 684*l - 38988 - 17*l**2 - 11*l**2 - 10*l**2.
-3*(l - 114)**2
Suppose 2*v = 8 - 2. Suppose 5 = -v*w + 14. Factor -5*m - 15 + 6 + 5*m**2 + 4 + 5*m**w.
5*(m - 1)*(m + 1)**2
Let t(f) be the first derivative of -f**7/105 + 14*f**6/75 - 49*f**5/50 - 4*f + 8. Let w(m) be the first derivative of t(m). Factor w(h).
-2*h**3*(h - 7)**2/5
Let p(x) be the first derivative of 8 - 1/510*x**5 - 13/2*x**2 - 1/102*x**4 - 1/51*x**3 + 0*x. Let m(w) be the second derivative of p(w). Factor m(z).
-2*(z + 1)**2/17
Let p(g) be the third derivative of g**6/540 + g**5/90 + g**4/54 + 5*g**2 - 10*g. Find j such that p(j) = 0.
-2, -1, 0
Let t be -3 + (-1175)/20 - 3/12. Let x = t - -62. Factor 1/3*h**3 - 