- 10 + 0*b**2 = 0.
-1, 1
Let p(c) = -7*c**2 + 4*c + 11. Let x(i) = -11*i**2 + 6*i + 17. Let d(n) = -8*p(n) + 5*x(n). Let d(q) = 0. Calculate q.
-1, 3
Let r(u) be the third derivative of 0*u + 10*u**2 - 1/140*u**7 + 0 + 0*u**4 + 0*u**3 + 0*u**5 + 1/80*u**6. Factor r(l).
-3*l**3*(l - 1)/2
Let w(r) = 6*r**2 - 83*r + 197. Let o(n) = -2*n**2 + 28*n - 66. Let i(d) = -17*o(d) - 6*w(d). Suppose i(z) = 0. Calculate z.
5, 6
Let i(o) be the first derivative of o**5/20 - 7*o**4/16 + 5*o**3/4 - 9*o**2/8 + 132. Let i(q) = 0. Calculate q.
0, 1, 3
Factor 20*u**2 - 40*u**3 + 787*u**4 + 785*u**4 - 1557*u**4.
5*u**2*(u - 2)*(3*u - 2)
Solve 0 + 2*u + 4/3*u**2 - 2/3*u**3 = 0.
-1, 0, 3
Let y = -2928 + 2930. Factor 1/4*d**y + 3/2*d + 9/4.
(d + 3)**2/4
Let v(x) = 25*x**4 + 95*x**3 + 13*x**2 - 3*x - 6. Let p(k) = 26*k**4 + 96*k**3 + 12*k**2 - 4*k - 8. Let d(y) = 3*p(y) - 4*v(y). Let d(r) = 0. Calculate r.
-4, -2/11, 0
Let a(o) be the first derivative of 1/24*o**4 + 0*o**2 + 5/18*o**3 + 17 + 0*o. Factor a(i).
i**2*(i + 5)/6
Let d(m) be the third derivative of -m**8/2240 + m**6/240 - m**4/32 - 3*m**3 - 18*m**2. Let q(z) be the first derivative of d(z). Factor q(v).
-3*(v - 1)**2*(v + 1)**2/4
Let o = 46 - 44. Solve 4 - n**2 + 5*n**2 - 8*n**2 - 10*n**o - 10*n = 0 for n.
-1, 2/7
Suppose -125 + 113 = -6*w. Let l(o) be the third derivative of 0 + 1/105*o**5 - 1/42*o**4 - 2/735*o**7 + 0*o**3 + 5*o**w + 0*o + 1/210*o**6. Factor l(a).
-4*a*(a - 1)**2*(a + 1)/7
Let x(u) be the first derivative of -15/2*u**2 + 39 + 24*u + 9/8*u**4 - 23/2*u**3. Factor x(b).
3*(b - 8)*(b + 1)*(3*b - 2)/2
Let x(k) be the first derivative of 5*k**4/2 - 25*k**3 + 35*k**2/2 - 11. Let x(n) = 0. Calculate n.
0, 1/2, 7
Suppose -5*w - 10 = -9*x + 4*x, 4*w = 3*x - 3. Suppose -w*a + 219 = -1872. Factor -4*s**2 - a + 2*s**4 + 697 - 2*s**3.
2*s**2*(s - 2)*(s + 1)
Let j be ((-8)/(-22))/((-124)/(-682)). Factor -2/11*z**j - 4/11 - 6/11*z.
-2*(z + 1)*(z + 2)/11
Let i(g) = -8*g**2 - g - 1. Let l be i(-1). Let m = -5 - l. Factor 4*a**4 + 14*a - 16*a**m + 4*a**3 + 11*a - 9*a.
4*a*(a - 2)**2*(a + 1)
Let v = -48077/6 - -8013. Determine a, given that v*a**3 - 3/2*a - 1/3 - 3/2*a**2 + 1/2*a**4 = 0.
-1, -1/3, 2
Let l(k) be the second derivative of 155*k**4/12 + 785*k**3/6 + 1835*k**2/2 + 11*k. Let u(n) = 11*n**2 + 56*n + 131. Let y(i) = -6*l(i) + 85*u(i). Factor y(d).
5*(d + 5)**2
Let j(n) = -n**2 - 10*n - 12. Let a be j(-8). What is z in -3 - 6*z**a + 4*z**2 + 3 + 4*z**4 - 2*z**3 = 0?
-2, 0, 1
Let z = -154 - -503. Let r = 351 - z. Factor 2/3*p - 2/9*p**r - 4/9.
-2*(p - 2)*(p - 1)/9
Let z(w) = -13*w**2 + 5*w - 4. Let u(i) = -7*i**2 + 4*i - 17*i**2 + 24*i**2 - 5 - 12*i**2. Let t(k) = -3*u(k) + 4*z(k). Factor t(n).
-(4*n - 1)**2
Let 12*z - 5*z**3 + 172 + 70*z**2 - 85*z + 34*z - 86*z - 112 = 0. Calculate z.
1, 12
Let i(l) be the second derivative of 2*l**7/21 + 8*l**6/5 + 189*l**5/20 + 295*l**4/12 + 25*l**3 + 319*l. Suppose i(b) = 0. Calculate b.
-6, -5/2, -1, 0
Let -11*x**2 - 4*x**3 - 24 + 36*x - 8 - 13*x**2 + 24*x = 0. Calculate x.
-8, 1
Let r be (-6)/(-14) + 573/(-14). Let a = -40 - r. Factor 0 + a*k**3 + 3/2*k**2 + k.
k*(k + 1)*(k + 2)/2
Let h be 10/25 + ((-132)/5)/6. Let u be ((-2)/h)/(476/224). Factor -4/17*l**2 + u - 2/17*l + 2/17*l**3.
2*(l - 2)*(l - 1)*(l + 1)/17
Let 54*m**2 - 9*m**2 - 17*m**2 + 2*m - 28 - 2*m**3 = 0. What is m?
-1, 1, 14
Let -76/7*v - 74/7*v**2 - 16/7 - 2*v**3 = 0. What is v?
-4, -1, -2/7
Let s(l) = -l**2 + 5*l + 6. Let u be s(9). Let b = -18 - u. Find o such that -6 + b*o - 5*o - 2*o**2 - 15*o = 0.
-3, -1
Let u(v) = 5*v**4 - 17*v**3 + v**2 + 11*v + 3. Let p(r) = -2*r**5 - 24*r**4 + 84*r**3 - 4*r**2 - 54*r - 14. Let q(z) = -6*p(z) - 28*u(z). What is s in q(s) = 0?
-4/3, -1, 0, 1
Let q(l) be the second derivative of 0*l**2 - l**5 + 0 + 0*l**3 + 14*l + 4/3*l**4 + 2/15*l**6. Factor q(n).
4*n**2*(n - 4)*(n - 1)
Let b(f) = -3*f**2 - 53*f + 21. Let z be b(-18). Let h = -11 - -11. Factor 2/5*w**4 + 0*w + 1/5*w**5 + 0*w**z + h*w**2 + 0.
w**4*(w + 2)/5
Let u = 3 + 1. Let a be (2/((-6)/(-6)))/(2/13). Determine t, given that 4*t**3 + 11*t**3 + 6 - 15*t + 8*t**u + a*t**4 - 27*t**2 = 0.
-1, 2/7, 1
Let y(j) = j**3 + 5*j**2 - 7*j + 8. Let f be y(-6). Suppose -4*h - 6 = -f. Factor 5*g + 3*g + 0*g**2 - 3*g - 2 + 3*g**h.
(g + 2)*(3*g - 1)
Suppose -8*h**3 - 81*h**2 + 162*h**5 - 89*h**4 + 344*h**4 - 6*h + 26*h**3 = 0. What is h?
-1, -2/27, 0, 1/2
Let z(w) be the second derivative of -w**5/70 + w**4/7 - 3*w**3/7 + 4*w**2/7 + 68*w - 1. Determine c so that z(c) = 0.
1, 4
Suppose -110*v + 15 = -105*v. Determine p, given that -17*p**3 - 4 + 9*p**3 - 6*p + 2*p**v + 8*p**3 = 0.
-1, 2
Let n(q) be the first derivative of -q**5/15 + q**4/3 - 2*q**3/3 + 2*q**2/3 - q/3 + 109. Factor n(h).
-(h - 1)**4/3
Let m(c) = c**3 + 5*c**2 + 8*c + 23. Let w be m(-4). Let o be w - (-8)/6*9/(-12). Find j such that o*j**2 - 9/2*j + 0 = 0.
0, 3/4
Let y = 391 + -195. Let c be y/68 - 4/(-34). Factor 0*l - 1/6*l**5 + 0*l**2 - 1/3*l**c + 0 + 1/2*l**4.
-l**3*(l - 2)*(l - 1)/6
Let o(f) = -24*f**3 + 57*f**2 + 24*f - 57. Suppose 0 = 3*i + 4 - 16. Let k(x) = 3*x**3 - 7*x**2 - 3*x + 7. Let u(v) = i*o(v) + 33*k(v). Factor u(m).
3*(m - 1)**2*(m + 1)
Let b(q) be the first derivative of q**7/210 - q**6/8 + 5*q**5/4 - 125*q**4/24 + 11*q**2/2 + 9. Let v(y) be the second derivative of b(y). Factor v(s).
s*(s - 5)**3
Let q be ((90/25)/9)/((-2)/5). Let r be ((162/24)/3)/(q/(-3)). Let 9/2*s**3 + 0*s + 0 - r*s**2 - 3/4*s**4 = 0. Calculate s.
0, 3
Let d be ((-14)/4)/(17/(-34)). Suppose 0 = -5*w + 16 + 9. Suppose w*c - 4*c**2 + d*c + 5*c**2 + 9 + 2*c**2 = 0. Calculate c.
-3, -1
Let i(b) = b**2 - 2*b + 3. Let t be i(3). Let p be 8/t*(-18)/(-12). Factor -2*g**2 + 2*g**p + 2*g**2 - 6*g - 3 - 5*g**2.
-3*(g + 1)**2
Let l be 513/324 - 9/6. Let a(v) be the third derivative of -l*v**4 + 0*v - 1/120*v**5 + 0 - 1/4*v**3 + v**2. Factor a(c).
-(c + 1)*(c + 3)/2
Let y = -2/4863 - 1677731/9726. Let g = 174 + y. Factor g*m - 1/2 - m**2.
-(m - 1)*(2*m - 1)/2
Let b(p) = 1 - 30*p**2 + 27*p**2 + 2*p - 8*p - 3*p**3 + 11. Let i(l) = -4*l**3 - 3*l**2 - 5*l + 12. Let c(u) = -7*b(u) + 6*i(u). Solve c(m) = 0.
-2, 1, 2
Suppose 2*j - 3*j - 2 = -h, -18 = -5*h - 3*j. Find p, given that 291*p**2 + 12 - 7*p**3 + 12*p**h + 40*p**3 - 378*p**4 - 120*p = 0.
-1, 1/6, 2/7, 2/3
Factor -2*k**2 + 0*k**2 + 4*k**2 - 5*k**2 - 2187 + 162*k.
-3*(k - 27)**2
Let k(q) = -q**2 + 1. Let w(b) = 10*b**2 - 6*b - 16. Suppose 3*g = 2*p - 2 - 2, -3*g - 10 = 4*p. Let y(j) = p*w(j) - 12*k(j). Determine c so that y(c) = 0.
-2, -1
Let s = 275438/10329 - -2/10329. Factor 64/3 + 4/3*j**3 + 32/3*j**2 + s*j.
4*(j + 2)**2*(j + 4)/3
Suppose 3*l - 13 = v, -4*v = -6*v - 4*l + 24. Determine u so that -14*u**2 - 2*u**4 - v*u**2 + 8*u - 22*u**3 - 4*u**4 = 0.
-2, 0, 1/3
Let l(h) = -26*h**3 + 16*h**2 - 16*h**2 + 30 - 10 + 46*h. Let c(a) = 5*a**3 - 9*a - 4. Let x(f) = 16*c(f) + 3*l(f). What is u in x(u) = 0?
-1, 2
Suppose 4*f = 5*k + 5*f + 5, -5*k + 20 = -4*f. Let 20*c**2 - 8 + 29*c - 8 + 12*c**3 - 41*c - 4*c**4 + k*c**3 = 0. Calculate c.
-1, 1, 4
Solve -4/7*u**5 + 0*u - 8/7*u**4 + 0 + 8/7*u**2 + 4/7*u**3 = 0.
-2, -1, 0, 1
Suppose -2*h = -3*s + 20, s - 5 = 4*h + 5. Let x(k) be the first derivative of s + 2/7*k + 1/14*k**4 - 1/7*k**2 - 2/21*k**3. Determine i, given that x(i) = 0.
-1, 1
Let o(j) be the third derivative of -5*j**9/3024 + j**8/336 - 7*j**3/3 - 4*j**2. Let b(x) be the first derivative of o(x). Solve b(l) = 0.
0, 1
Let l(j) = j + 3. Let v be l(3). Solve -v*q**2 - 5*q**2 + 39*q**3 + 6*q + 2*q**2 - 36*q**3 = 0.
0, 1, 2
Factor -52*f - 5*f**4 + 86 - 30*f**3 + 5*f**5 - 3*f - 71 + 70*f**2.
5*(f - 1)**4*(f + 3)
Let r(m) be the first derivative of -m**6/4320 + m**5/240 - 5*m**4/288 + 4*m**3 - 15. Let w(s) be the third derivative of r(s). What is t in w(t) = 0?
1, 5
Suppose 6*u - 5*k + 6 = 3*u, -4*u + 9 = -k. Suppose 12*m**2 - 84*m**5 + 123*m**4 + 28*m**3 + 86*m**3 - 30*m**u = 0. Calculate m.
-2/7, -1/4, 0, 2
Let f(s) = 26*s**2 + 38*s - 14. Suppose -12*u + 15 = -15*u. Let a(z) = -9*z**2 - 13*z + 5. Let o(g) = u*f(g) - 14*a(g). Suppose o(v) = 0. What is v?
-2, 0
Let m(a) = -5*a**2 + 3*a. Let z(n) = -66*n**2 + 39*n. Let w be -5 + 6 + -4 - 4. Let k = w - 20. Let j(o) = k*m(o) + 2*z(o). Let j(u) = 0. What is u?
0, 1
Let w be (-3 - 1)/(84/