 = 0.
1/3
Suppose -5 = 4*j + 4*c + 3, 2*j = -c. Factor -15*v**3 - 2079*v**j - 5*v**4 + 2079*v**2.
-5*v**3*(v + 3)
Let q(w) be the second derivative of -2*w**6/5 + 11*w**5/10 + 3*w**4/2 - 14*w**3/3 - 189*w. Factor q(o).
-2*o*(o - 2)*(o - 1)*(6*o + 7)
Let q(l) be the first derivative of 5/2*l**2 + 10 - 10*l + 5/3*l**3. Find b such that q(b) = 0.
-2, 1
Let c be (-5155)/50 + (-2)/(-20). Let i = 107 + c. Solve -24/13*v**2 + 2/13*v**5 + 0 + 2*v**3 + 8/13*v - 12/13*v**i = 0 for v.
0, 1, 2
Let r(d) be the first derivative of -3/80*d**5 - d - 1 + 1/16*d**4 - 1/20*d**6 + 0*d**3 + 0*d**2. Let o(c) be the first derivative of r(c). Factor o(x).
-3*x**2*(x + 1)*(2*x - 1)/4
Let z(s) be the first derivative of 3*s**4/10 - 91*s**3/5 + 1518*s**2/5 + 1587*s/5 + 273. Let z(b) = 0. What is b?
-1/2, 23
Let o = 6855/2 - 3427. Factor 3/2*y**3 + 0 - 2*y + o*y**4 + 0*y**2.
y*(y - 1)*(y + 2)**2/2
Let i = 65 + -175. Let a be 22/i + (-22)/(-10). Determine c, given that 0 - 3/4*c**a + 1/4*c**3 + 1/2*c = 0.
0, 1, 2
Let h(d) be the first derivative of -7/15*d**2 - 2/9*d**3 + 4/15*d - 4 + 2/15*d**4. What is r in h(r) = 0?
-1, 1/4, 2
Let g = 4485/7 + -616. Let y = 25 - g. Factor 0 - y*s**2 + 2/7*s.
-2*s*(s - 1)/7
Let f(x) be the first derivative of 1/9*x**3 - 1/15*x**5 + 0*x - 6 - 1/3*x**2 + 1/6*x**4. Determine p so that f(p) = 0.
-1, 0, 1, 2
Let c(o) be the first derivative of 16 - o**2 - 4*o + 2/3*o**3. Determine u, given that c(u) = 0.
-1, 2
Let u(k) be the second derivative of -k**6/27 - 38*k**5/15 + 97*k**4/54 + 76*k**3/9 - 92*k**2/9 + 77*k + 3. Let u(w) = 0. What is w?
-46, -1, 2/5, 1
Let s(x) = 5*x**3 + 7*x**2 - 7*x - 7. Let r(m) = 85*m**3 + 120*m**2 - 120*m - 120. Let k be 4 - 1 - (-31 - 1). Let y(a) = k*s(a) - 2*r(a). Solve y(l) = 0 for l.
-1, 1
Let c(r) be the first derivative of -r**4/72 - 2*r**3/9 - 4*r**2/3 + 2*r + 11. Let m(h) be the first derivative of c(h). Factor m(a).
-(a + 4)**2/6
Let y(x) be the first derivative of -3 + 10*x**2 - 24*x - 4/3*x**3. Factor y(f).
-4*(f - 3)*(f - 2)
Let c(z) = -13*z**2 + 21*z + 1. Suppose -6*m - 6 = -4*m. Let f(k) = 14*k**2 - 20*k. Let i(o) = m*f(o) - 2*c(o). Find a, given that i(a) = 0.
1/8, 1
Suppose 4*y + 6876 = -3*b + 700, -5*y - 7739 = -b. Let v be 8/238*46 + 182/y. Suppose v*l**2 + 2*l + 4/7 = 0. Calculate l.
-1, -2/5
Let i(n) be the second derivative of n**4/3 - 22*n**3 - 140*n**2 - 301*n. Suppose i(a) = 0. Calculate a.
-2, 35
Let y(v) be the second derivative of -v**5/90 - 4*v - 14. Find j, given that y(j) = 0.
0
Suppose -3*q + 2 = -1, -f + q = -5. Let a be (-1)/(21/(-9) + 2). What is g in -20*g**a - 26*g**2 + 38*g**2 + 2*g + f*g = 0?
-2/5, 0, 1
Suppose -4*r + 2*u = -6, -5*r - 8 = -2*r - 4*u. Suppose r*v - 3*v = -4*v. Suppose 4/5*k - 6/5*k**3 - 2/5*k**2 + 2/5*k**4 + 2/5*k**5 + v = 0. What is k?
-2, -1, 0, 1
Let j(c) = -10*c**4 + 32*c**3 - 56*c**2 - 89*c. Let v(p) = -4*p**4 + 16*p**3 - 28*p**2 - 44*p. Let d(m) = 4*j(m) - 9*v(m). Find l such that d(l) = 0.
-5, -1, 0, 2
Let w = -105 + 105. Let t(f) be the second derivative of 1/42*f**4 - 1/21*f**3 + w + 0*f**2 + f. Factor t(y).
2*y*(y - 1)/7
Let h(d) be the second derivative of -d**6/70 - d**5/14 - 3*d**4/28 - d**3/21 - 163*d. Let h(g) = 0. Calculate g.
-2, -1, -1/3, 0
Let g(s) = s**3 + 7*s**2 - 9*s - 6. Let t be g(-8). Factor 32*w - 21 - 126*w**t + 5 - 12*w + 122*w**2.
-4*(w - 4)*(w - 1)
Let r(k) be the third derivative of k**6/30 - 97*k**5/9 - 976*k**4/27 - 1304*k**3/27 - 428*k**2. Factor r(q).
4*(q - 163)*(3*q + 2)**2/9
Let a be 33/1*(-3 - -1). Let z = a + 66. Factor z*d - 2/13 + 2/13*d**2.
2*(d - 1)*(d + 1)/13
Suppose j = -0*j + 3. Find k, given that 15*k + 6*k**2 + 6 + 0*k - 15*k**j - 12 = 0.
-1, 2/5, 1
Let x(w) be the third derivative of -w**6/270 + 29*w**5/135 + 61*w**4/54 + 62*w**3/27 + 11*w**2 + 3*w. Solve x(k) = 0.
-1, 31
Let l(m) be the first derivative of 5/2*m**2 + 0*m - 3 - 5/3*m**3. Factor l(d).
-5*d*(d - 1)
Let c(v) be the first derivative of -v**5/40 + v**4/32 + v**3/12 - 156. Suppose c(i) = 0. What is i?
-1, 0, 2
Let o(g) be the third derivative of 0*g**6 + 0*g - 1/36*g**4 + 0 + 0*g**3 + 1/630*g**7 - 1/60*g**5 - 11*g**2. Solve o(f) = 0.
-1, 0, 2
Let u(y) be the second derivative of -y**6/720 + y**4/48 + 5*y**3/3 + 21*y. Let f(d) be the second derivative of u(d). Factor f(c).
-(c - 1)*(c + 1)/2
Let h = -40 - -51. Determine w, given that -5 + 1 - h*w + 2*w**2 + 9*w = 0.
-1, 2
Factor 1/2*l**3 + 6 + 9/2*l**2 + 10*l.
(l + 1)*(l + 2)*(l + 6)/2
Let i = -5261/3 + 1755. Let l(d) be the first derivative of -i*d - 11 + 10/9*d**3 - d**2. Factor l(v).
2*(v - 1)*(5*v + 2)/3
Factor -300*v**3 + 780*v**3 - 2 + 35*v**4 - 1 + 3 - 140*v**2.
5*v**2*(v + 14)*(7*v - 2)
Let c(x) be the first derivative of -6*x**6 - 177*x**5/5 + 9*x**4/2 + 5*x**3 + 104. Solve c(a) = 0 for a.
-5, -1/4, 0, 1/3
Let m = -191 + 194. Find p, given that 0*p**2 - 2/3*p**m + 8/3*p + 0 = 0.
-2, 0, 2
Let d = 57 - 7. Let x = -48 + d. Factor 0 - 2/3*b**x + 2/3*b.
-2*b*(b - 1)/3
Let h(i) be the first derivative of 1/4*i**2 - 1/8*i**4 + 1/2*i + 36 - 1/6*i**3. Factor h(d).
-(d - 1)*(d + 1)**2/2
Let v(t) be the first derivative of 2*t**3/21 - 274*t**2/7 + 37538*t/7 - 572. Determine c so that v(c) = 0.
137
Let d = 7096/231 - -304/77. Factor -10/3*j**3 + d*j**2 + 100/3 - 290/3*j.
-2*(j - 5)**2*(5*j - 2)/3
Suppose 5*z = -v - 8, 4*v + z + 1 = 7. Suppose -10*m - 16 + 4*m**3 - 4*m - v*m**3 + 4 = 0. What is m?
-2, -1, 3
Suppose -224/3*x**4 - 50*x**2 - 352/3*x**3 - 1/3 - 23/3*x = 0. Calculate x.
-1, -1/4, -1/14
Let w be 33/88 - 9/(-40). Let v(n) be the third derivative of 5/8*n**4 - w*n**5 + 0*n + 1/40*n**6 + n**3 - 4*n**2 + 2/35*n**7 + 0. Let v(f) = 0. Calculate f.
-2, -1/4, 1
Suppose 0 = -159*d + 178*d. Let n(g) be the first derivative of -1/11*g**2 + 1/33*g**6 + d*g**4 + 0*g + 4/55*g**5 - 4/33*g**3 - 7. Factor n(p).
2*p*(p - 1)*(p + 1)**3/11
Let p = 1143 + -1143. Factor 2/7*x + p - 2/7*x**4 - 2/7*x**3 + 2/7*x**2.
-2*x*(x - 1)*(x + 1)**2/7
Let r(n) = 4*n**5 + 8*n**4 + 6*n**3 + 4*n**2 + 5*n - 3. Let u(c) = c**5 + c**4 - c**3 - c**2 + c - 1. Let v(h) = -r(h) + 3*u(h). Let v(q) = 0. What is q?
-2, -1, 0
Determine k, given that 70*k + 70*k**5 + 0*k**3 - 4*k**2 - 81*k**3 - 5*k**4 - 5 - 59*k**3 + 14*k**2 = 0.
-1, 1/14, 1
Let l(f) be the first derivative of 18 - 1/3*f - 1/24*f**4 - 2/9*f**3 - 5/12*f**2. Suppose l(h) = 0. What is h?
-2, -1
Let n(s) be the first derivative of -s**4/22 - 14*s**3/33 - 7*s**2/11 + 30*s/11 + 131. Determine g, given that n(g) = 0.
-5, -3, 1
Let n(h) be the first derivative of -2*h**3/33 - 42*h**2/11 - 82*h/11 - 102. Find m, given that n(m) = 0.
-41, -1
Suppose -12 + 233 = 106*t - 97. Factor -1/10*y**t + 0*y**2 + 0*y + 1/10*y**5 + 0*y**4 + 0.
y**3*(y - 1)*(y + 1)/10
Let m be ((-814)/44)/(-37) + (-3)/(-2). Let o(c) be the first derivative of 0*c**m + 9 - 2*c**3 + 1/2*c**4 + 8*c. Determine r so that o(r) = 0.
-1, 2
Let z(p) be the second derivative of 6/7*p**2 + 8*p + 23/28*p**5 + 127/84*p**4 + 0 - 40/21*p**3 - 10/7*p**6. What is d in z(d) = 0?
-3/4, 1/3, 2/5
Let f(v) be the first derivative of 4/5*v**5 + 0*v + 0*v**2 - 2/3*v**6 - 4/3*v**3 + v**4 - 12. Suppose f(k) = 0. Calculate k.
-1, 0, 1
Let z(h) be the third derivative of -h**6/180 - h**5/10 - 3*h**4/4 + 5*h**3/2 - 14*h**2. Let n(s) be the first derivative of z(s). Let n(c) = 0. Calculate c.
-3
Let w(c) = 3*c**2 + 252*c + 255. Let p(j) = 2*j**2 + 251*j + 254. Let o(z) = -6*p(z) + 5*w(z). Find u such that o(u) = 0.
-1, 83
Let k(b) be the second derivative of 2*b**6/135 + b**5/9 + b**4/3 + 14*b**3/27 + 4*b**2/9 - 513*b. Suppose k(w) = 0. What is w?
-2, -1
Let o be 1267/126 - 1 - 9. Let q(n) be the second derivative of 6*n + 0 - 1/6*n**3 + 1/126*n**7 + o*n**4 + 1/6*n**2 + 1/30*n**5 - 1/30*n**6. Factor q(z).
(z - 1)**4*(z + 1)/3
Let h(s) = s**2 + 11*s - 8. Let l(p) = -52 + 44 + 12*p - 2*p. Let o(g) = -2*h(g) + 3*l(g). Suppose o(c) = 0. Calculate c.
2
Let m(u) be the second derivative of 7*u + 0*u**2 + 0 - 5/4*u**4 + 1/6*u**6 + 5/3*u**3 + 0*u**5. Factor m(k).
5*k*(k - 1)**2*(k + 2)
Let i(s) be the second derivative of -33*s - 13/30*s**3 - 169/20*s**2 - 1/120*s**4 + 0. Factor i(t).
-(t + 13)**2/10
Suppose 1 = l - 2*z, 2*l + 3*l - 17 = -2*z. Factor l*h**3 - 3*h**3 + h**3 - 35*h + 34*h.
h*(h - 1)*(h + 1)
Let r be (-37)/185 - 2078/10. Let i = r + 210. 