+ 1)/3
Solve 92/7*q - 1058/7 - 2/7*q**2 = 0.
23
Find r, given that 196 - 98 + r**2 - 100 + r = 0.
-2, 1
Factor -3/5*n**2 + 6/5*n + 48.
-3*(n - 10)*(n + 8)/5
Factor -22*d**3 - 38*d**3 + 65*d**2 - 5*d**4 + 186*d - 186*d.
-5*d**2*(d - 1)*(d + 13)
Let l(o) be the second derivative of -o**6/150 + 9*o**5/100 + 27*o**4/20 + 131*o**3/30 + 6*o**2 - 97*o + 1. Suppose l(f) = 0. What is f?
-4, -1, 15
Let t be 15 + -7 - (-923)/(-117). Let x(k) be the first derivative of 3 + 2/3*k + t*k**3 + 1/2*k**2. Let x(d) = 0. What is d?
-2, -1
Let j = -1 - -6. Factor -2*z**5 - 5*z**4 - 2*z**j - 10*z**3 + 9*z**5.
5*z**3*(z - 2)*(z + 1)
Factor 8851*d**3 - 40*d**2 - 84*d - 4432*d**3 - 4423*d**3.
-4*d*(d + 3)*(d + 7)
Let s(r) be the second derivative of -1/30*r**6 - 25*r + 1/10*r**5 + 1/3*r**4 + 0*r**2 + 0 - 4/3*r**3. Suppose s(n) = 0. What is n?
-2, 0, 2
Suppose -12/7 + 26/7*l**2 - 46/7*l = 0. Calculate l.
-3/13, 2
Suppose -2/15*l**2 + 8/3 - 38/15*l = 0. What is l?
-20, 1
Let r = 6 + -3. Suppose -30 = 2516*f - 2522*f. Factor 6/5*q - 4/5*q**r + 2/5 + 4/5*q**2 - 2/5*q**f - 6/5*q**4.
-2*(q - 1)*(q + 1)**4/5
Factor 113/3*c + 38 - 1/3*c**2.
-(c - 114)*(c + 1)/3
Let j(w) = w**5 + w**4 + w. Let r = 13 + -12. Let g(k) = 3*k**5 - 17*k**4 + 16*k**3 + 8*k**2 - 21*k + 8. Let p(m) = r*g(m) + j(m). Factor p(i).
4*(i - 2)*(i - 1)**3*(i + 1)
Let h be 336/(-36) + 6 + 8*1. Factor 2/3*o**4 + 4/3 - 10/3*o**3 + 6*o**2 - h*o.
2*(o - 2)*(o - 1)**3/3
Determine q so that -30/7*q - 2/7*q**4 + 30/7*q**3 + 0 + 2/7*q**2 = 0.
-1, 0, 1, 15
Let c(t) = 2*t**3 - t + 1. Let d = -89 + 90. Let m be c(d). Determine z so that -1/3*z**m - 8/3*z - 16/3 = 0.
-4
Let x(c) be the third derivative of c**5/360 - c**4/18 + c**3/3 + 46*c**2 - 2. Factor x(d).
(d - 6)*(d - 2)/6
Let v(l) be the second derivative of -5*l**4/48 - 185*l**3/12 - 6845*l**2/8 + 4*l - 11. Factor v(w).
-5*(w + 37)**2/4
Let 258*o**3 - 259*o**3 - 1758*o + 7203 + 101*o**2 - 937*o = 0. What is o?
3, 49
Let m(w) be the second derivative of w**6/30 + 3*w**5/5 - 13*w**4/12 + 57*w - 2. Determine j so that m(j) = 0.
-13, 0, 1
Let z be 23 + (-21 - 8/6). Find q such that -z + 8/3*q**2 - 2*q = 0.
-1/4, 1
Determine n so that 62 - 17 - 5*n**2 - 80*n + 40 = 0.
-17, 1
Let r(i) = 12*i**2 + 2*i - 10. Let b(x) = -7*x**2 - 2*x + 5. Let k(p) = -11*b(p) - 6*r(p). Let k(j) = 0. What is j?
-1
Determine y, given that 27/2*y + 0 + 9/4*y**2 - 3/4*y**3 = 0.
-3, 0, 6
Let o(s) be the first derivative of s**7/840 - s**6/120 - s**5/120 + s**4/8 + 13*s**3/3 + 22. Let v(c) be the third derivative of o(c). Factor v(x).
(x - 3)*(x - 1)*(x + 1)
Let k(f) be the third derivative of f**9/4536 - f**8/1260 + f**7/1260 + f**3/3 + 4*f**2. Let i(y) be the first derivative of k(y). Factor i(g).
2*g**3*(g - 1)**2/3
Suppose -4*a + b = -20, 1 = -a - 2*b + 6. Factor -a*d**4 - 13 - 8*d + 17 + d**4 + 8*d**3.
-4*(d - 1)**3*(d + 1)
Let m = 98 + -18. Let f be (-48)/m*1*10/(-8). Factor -3/4*x**2 - 1/4*x**4 + 0 + f*x**3 + 1/4*x.
-x*(x - 1)**3/4
Let x(j) be the first derivative of -2*j**3/9 + 22*j**2/3 - 242*j/3 - 203. Factor x(r).
-2*(r - 11)**2/3
Suppose 4*r + 6 = -l, 0*r = 4*r + 8. Let q = 156 + -153. Factor 3*y**3 + 11*y**4 + 2*y - 2*y**l - 9*y**4 - 5*y**q.
2*y*(y - 1)**2*(y + 1)
Let h = 1134 + -7937/7. Let y(g) be the first derivative of -2/7*g**2 + 0*g - h*g**4 + 8/21*g**3 - 6. Factor y(w).
-4*w*(w - 1)**2/7
Let a(b) be the second derivative of 0 - 6*b + 21/20*b**5 - 1/10*b**6 - 8*b**3 - 2*b**4 + 0*b**2. Solve a(j) = 0 for j.
-1, 0, 4
Let p(b) be the third derivative of -b**5/390 + 7*b**4/78 - b**3/3 - 6*b**2 - 1. Let p(t) = 0. What is t?
1, 13
Let k be (0/(-3))/(-3 - -1). Factor 4*b**2 + 0*b**2 + k*b**2 + 85 - 21 + 32*b.
4*(b + 4)**2
Factor -4/5*y - 32/5*y**3 + 14/5*y**4 + 22/5*y**2 + 0.
2*y*(y - 1)**2*(7*y - 2)/5
Let n(t) = -4*t**2 + 81*t + 63. Let a be n(21). Let b(x) be the second derivative of a + 1/8*x**2 + 0*x**3 - 1/48*x**4 - 2*x. Factor b(p).
-(p - 1)*(p + 1)/4
Let r(c) = -c + 9. Let k be r(9). Let w(f) be the third derivative of 0 - 4*f**2 - 1/36*f**4 + k*f + 2/9*f**3 - 1/90*f**5. Factor w(a).
-2*(a - 1)*(a + 2)/3
Let f(j) be the second derivative of 25*j**6 + 295*j**5 + 1380*j**4 + 3168*j**3 + 3456*j**2 - 13*j - 1. Solve f(i) = 0 for i.
-12/5, -2/3
Let u(j) be the second derivative of 0 - 1/3*j**4 - 392*j**2 + 56/3*j**3 + 50*j. Solve u(r) = 0 for r.
14
Factor 12*d**4 - 32*d - 802*d**3 - 803*d**3 - 2*d**5 + 1603*d**3 - 48*d**2.
-2*d*(d - 4)**2*(d + 1)**2
Let o(y) be the second derivative of y**7/105 + 11*y**6/75 + 9*y**5/10 + 17*y**4/6 + 74*y**3/15 + 24*y**2/5 - 48*y. Let o(c) = 0. What is c?
-4, -3, -2, -1
Let c(g) be the second derivative of -2/9*g**2 + 7/27*g**3 + 1/45*g**5 + 0 + 2/135*g**6 - 1/189*g**7 - 11*g - 4/27*g**4. Factor c(j).
-2*(j - 1)**4*(j + 2)/9
Let r(c) be the second derivative of 7*c**5/4 - 85*c**4/4 + 245*c**3/3 - 60*c**2 - 2*c - 47. Solve r(h) = 0.
2/7, 3, 4
Suppose 0 = -7*m + 56 - 21. Factor 3*s - 133*s**m + 10*s**2 + 128*s**5 + 5 + 12*s - 15*s**4 - 10*s**3.
-5*(s - 1)*(s + 1)**4
Let b be (16/6)/(32/144). Suppose -b*h - 25 = -61. Factor 2*y**2 + 0 + 2/3*y**h - 8/3*y.
2*y*(y - 1)*(y + 4)/3
Let q(m) be the first derivative of -1/6*m**3 + 1/2*m**2 - 1/2*m + 5. Suppose q(z) = 0. Calculate z.
1
Let c be (1/4*(-3)/12)/(-1). Let y(i) be the second derivative of -c*i**4 + 3*i + 3/4*i**3 + 0 - 27/8*i**2. Factor y(b).
-3*(b - 3)**2/4
Factor 8/3*z + 8/9*z**3 + 98/9*z**2 + 0.
2*z*(z + 12)*(4*z + 1)/9
Let v(p) be the third derivative of p**9/10080 + p**8/896 + 5*p**4/4 + p**2. Let k(r) be the second derivative of v(r). Factor k(n).
3*n**3*(n + 5)/2
What is y in -28 - 1/7*y**4 + 27*y + 17/7*y**2 - 9/7*y**3 = 0?
-7, 1, 4
Let u(i) = i + 9. Let w be u(-7). Let k be (10/(-3))/(70/(-28)). Let 4/3 - 2/3*t - k*t**w + 2/3*t**3 = 0. What is t?
-1, 1, 2
Let d = 1384 + -1379. Let i(f) be the first derivative of -10 + 1/4*f**4 + 0*f**2 + 0*f**3 + 0*f + 1/2*f**6 + 4/5*f**d. Factor i(s).
s**3*(s + 1)*(3*s + 1)
Let i(v) = -202*v + 98*v + v**2 + 104*v - v**4 - v**3. Let o(b) = -6*b**4 - 14*b**3 - 2*b**2 + 12*b + 8. Let h(w) = 2*i(w) - o(w). Determine a so that h(a) = 0.
-2, -1, 1
Let d = -162 + 166. Let i(n) be the first derivative of -5/6*n**2 - 1/18*n**6 + 2 + 1/3*n + 10/9*n**3 + 1/3*n**5 - 5/6*n**d. Solve i(m) = 0.
1
Let b(d) be the third derivative of -d**8/11200 - d**7/1400 + d**6/300 - 7*d**4/12 - d**2. Let v(w) be the second derivative of b(w). Factor v(y).
-3*y*(y - 1)*(y + 4)/5
Let o(b) = 5*b**4 - b**3 - b**2 + b - 1. Let g(r) = 78*r**4 - 33*r**3 + 6*r**2 + 33*r - 39. Let u(n) = g(n) - 15*o(n). Let u(i) = 0. What is i?
-1, 1, 2, 4
Let q be 4 - 6 - ((-104)/20 - 1) - 4. Factor -2/5 - q*c**4 - 1/5*c**3 + 1/5*c + 3/5*c**2.
-(c - 1)**2*(c + 1)*(c + 2)/5
Let t(j) be the first derivative of -j**5/5 - 11*j**4/4 - 9*j**3 - 25*j**2/2 - 8*j - 320. Suppose t(l) = 0. What is l?
-8, -1
Let f be ((-92)/(-20))/23*(-39)/(-18)*10. Factor 2 + 1/3*o**3 + f*o + 8/3*o**2.
(o + 1)**2*(o + 6)/3
Let t(b) = -8*b**3 - 10*b**2 + 25*b + 14. Let a(c) = -c**3 - c**2 + 3*c + 2. Let i(y) = 35*a(y) - 5*t(y). Factor i(g).
5*g*(g - 1)*(g + 4)
Suppose 0 = -2*w - 5*f - 31, -2*f - 7 = 3. Let q be w*(-12)/(-270) - 124/(-30). Factor 2*d**3 + 0 + 16/5*d**2 + 2/5*d**q + 8/5*d.
2*d*(d + 1)*(d + 2)**2/5
Let h(w) be the second derivative of w**7/420 - w**6/120 - w**5/40 + w**4/12 + w**3/3 + 6*w**2 + 6*w. Let k(o) be the first derivative of h(o). Factor k(p).
(p - 2)**2*(p + 1)**2/2
Determine d so that -32/7*d + 18/7*d**3 + 0 - 2/7*d**4 - 12/7*d**2 = 0.
-1, 0, 2, 8
Let a(x) = -3*x**2 - 6*x + 3. Let r be a(-3). Let b be ((-129)/22 - r)/(6/8). Determine v, given that -6/11*v - b*v**2 - 4/11 = 0.
-2, -1
Determine t, given that 4/5 - 43/5*t**3 + 31/5*t**4 + 7*t**5 - 7*t**2 + 8/5*t = 0.
-1, -2/7, 2/5, 1
Let p be (-3)/(-15) - (-102)/15. Let j(a) = a**3 + 2*a**2 - 2*a + 6. Let b be j(-3). Factor p + 4*y + b*y**2 - 1 - 3 - 10*y.
3*(y - 1)**2
Let t(i) be the first derivative of i**7/4620 + 7*i**6/1980 + i**5/44 + 3*i**4/44 - 2*i**3 - 12. Let j(n) be the third derivative of t(n). Solve j(b) = 0 for b.
-3, -1
Let z(l) be the second derivative of -6*l**3 + 33/2*l**2 + 0 + 22*l + 1/4*l**4. Factor z(i).
3*(i - 11)*(i - 1)
Let x(q) be the first derivative of q**5/30 - q**4/6 + q**3/3 + 19*q**2/2 + 10. Let p(i) be the second derivative of x(i)