+ 3*w - 6, -6 = -2*i + 2*w. Factor 6*n + i*n**2 + 6*n + 1 + 7 + 1.
3*(n + 1)*(n + 3)
Let u(z) be the third derivative of 4*z**7/105 - 2*z**6/15 + z**5/6 - z**4/12 + z**2 + 26*z. Factor u(j).
2*j*(j - 1)*(2*j - 1)**2
Let y(k) be the second derivative of -k**7/126 + k**6/5 + 157*k**5/60 + 215*k**4/18 + 82*k**3/3 + 100*k**2/3 + 894*k. Find s, given that y(s) = 0.
-2, -1, 25
Suppose -3*y + 26 = 4*s, 4*y + 8 = 4*s - 4. Let z be (-3 + y)*1*-12. Factor -4 + 18*d + 2*d**3 + 4 + z*d**2.
2*d*(d + 3)**2
Suppose q + 6*d + 22 = 2*d, -8 = 4*q - 4*d. Let n be (-3)/(-2 + 11)*q. Find m such that -3*m**3 - 2*m + n*m + 3*m = 0.
-1, 0, 1
Let h(a) = a**5 - 11*a**4 - 36*a**3 - 5*a**2 - 10. Let z(g) = -6*g**4 - 18*g**3 - 3*g**2 - 6. Let q(w) = -3*h(w) + 5*z(w). Factor q(j).
-3*j**3*(j - 3)*(j + 2)
Let d(m) be the third derivative of -m**7/1680 + m**6/120 - m**2 + 115*m. Determine w, given that d(w) = 0.
0, 8
Let t(c) = 219*c - 876. Let i be t(4). Let o(j) be the third derivative of -1/28*j**4 + 0*j + i + 13*j**2 + 2/105*j**5 - 1/21*j**3. Factor o(r).
2*(r - 1)*(4*r + 1)/7
Let b(q) be the first derivative of 5*q**4/4 + 125*q**3/3 + 215*q**2/2 - 345*q - 478. Factor b(a).
5*(a - 1)*(a + 3)*(a + 23)
Let m = -71160/11 + 6470. Find l such that -8/11 - 2/11*l**2 + m*l = 0.
1, 4
Let t be (-6)/(-42) + -4*(-17)/14. Let i(c) be the third derivative of t*c**2 - 1/30*c**4 + 0 + 0*c**5 + 0*c + 0*c**3 + 1/150*c**6. Let i(o) = 0. Calculate o.
-1, 0, 1
Let i(a) = -8*a**2 - 8*a + 11. Let g(y) be the second derivative of y**4 + 2*y**3 - 8*y**2 + 2*y. Let t(p) = 5*g(p) + 8*i(p). Let t(x) = 0. What is x?
-2, 1
Let u(r) = r**2 + 19*r + 2. Let k be u(-19). Factor 0*t + t**k - 3*t + 4*t + 36 - 13*t.
(t - 6)**2
Let 40*j + 1499 + 470 + 531 + 60*j + j**2 = 0. What is j?
-50
Let s = -45/337 - -1191/1348. Let -3/4*w**3 + 9/4*w**2 + s*w - 3/2 - 3/4*w**4 = 0. Calculate w.
-2, -1, 1
Let k(j) = -3*j**2 - 8*j - 2. Let h be k(-5). Let l = h + 39. Factor 1/4*o**l + 9/4 + 3/2*o.
(o + 3)**2/4
Let f(k) be the first derivative of -98*k**5/5 - 210*k**4 - 152*k**3 - 32*k**2 + 494. Factor f(d).
-2*d*(d + 8)*(7*d + 2)**2
Let x be 15/(-42)*48/(-60). Factor 4/7*d + 0 - x*d**2.
-2*d*(d - 2)/7
Let o(h) be the third derivative of h**7/42 - h**6/24 - h**5 + h**2 - 48. Solve o(g) = 0.
-3, 0, 4
Let p(m) be the third derivative of -m**6/420 - m**5/45 + 55*m**4/252 + 2*m**3/3 - 67*m**2 - 2. What is v in p(v) = 0?
-7, -2/3, 3
Let o(u) = 523*u - 521. Let k be o(1). Factor -8/3 - 2/3*m**3 + 8/3*m + 2/3*m**k.
-2*(m - 2)*(m - 1)*(m + 2)/3
Let f = 2259 - 15789/7. Suppose -2*q + 3 + 1 = 0. Find j, given that f*j**q + 16/7*j + 16/7*j**3 + 4/7*j**4 + 4/7 = 0.
-1
Let h(o) = 5*o**3 - 92*o**2 + 3068*o - 32776. Let g(y) = -6*y**3 + 91*y**2 - 3067*y + 32778. Let f(c) = -4*g(c) - 5*h(c). Factor f(t).
-(t - 32)**3
Let f(q) = 6*q**2 - 51*q + 30. Let o(b) = b**2 - 10*b + 6. Let k(a) = -5*f(a) + 24*o(a). Let y(v) = 7*v**2 - 16*v + 5. Let n(x) = -4*k(x) - 3*y(x). Factor n(l).
3*(l - 3)*(l - 1)
Suppose 95*t - 69 - 216 = 0. Let o(v) be the first derivative of -1/3*v**t + v + 0*v**2 + 3. Let o(c) = 0. What is c?
-1, 1
Let x(m) be the first derivative of m**6/180 - m**5/90 - m**4/36 + m**3/9 + 3*m**2 + 9. Let u(c) be the second derivative of x(c). Factor u(h).
2*(h - 1)**2*(h + 1)/3
Factor 2/11*v**2 - 8/11 + 0*v.
2*(v - 2)*(v + 2)/11
Let z(d) = 2*d**2 + d - 1. Let u be z(-3). Let n = u - 14. Find o such that -6/5*o**4 - 2/5*o**2 - 2/5*o**5 + 0*o + n - 6/5*o**3 = 0.
-1, 0
Let i(m) be the second derivative of 0 + 47*m + 1/24*m**3 - 1/8*m**2 - 1/80*m**5 + 1/48*m**4. Find u, given that i(u) = 0.
-1, 1
Suppose a = 1 + 2. Suppose -1 = -a*s + 5. Factor -s*k**2 + k**2 + k**2 + 2*k**2.
2*k**2
Let p(y) be the second derivative of -y**7/7 + 11*y**6/45 + 8*y**5/15 - 2*y**4/9 - 2*y + 33. Solve p(d) = 0.
-1, 0, 2/9, 2
Let o = 115 + -94. Let q be (14/(784/o))/(15/4). Determine s so that -q + 0*s + 1/10*s**2 = 0.
-1, 1
Let p(h) be the first derivative of 4*h**5/15 - 2*h**4 + 28*h**3/9 + 4*h**2 - 32*h/3 + 78. Solve p(m) = 0.
-1, 1, 2, 4
Suppose 8/3*a + 0 + 1/3*a**4 + 14/3*a**2 + 7/3*a**3 = 0. What is a?
-4, -2, -1, 0
Let s(x) be the third derivative of -x**9/12096 - 5*x**8/4032 - x**7/336 + x**6/16 - x**5/30 - 8*x**2. Let r(l) be the third derivative of s(l). Factor r(p).
-5*(p - 1)*(p + 3)**2
Suppose 2*n + 15 = 4*a - 81, 2*n = 5*a - 95. Let w be 3/10 + (-10)/n. Solve -w - p - 1/2*p**2 = 0.
-1
Let s = -86 - -88. Let b(h) be the second derivative of 0 + 1/18*h**3 - 1/36*h**4 - 8*h + 1/3*h**s. What is p in b(p) = 0?
-1, 2
Let k(g) be the third derivative of 2/27*g**4 + 18*g**2 + 0*g**3 + 0*g + 0 + 1/108*g**6 - 7/135*g**5. Factor k(s).
2*s*(s - 2)*(5*s - 4)/9
Let i(y) be the second derivative of y**4/6 - 5*y**3/3 + 90*y. What is u in i(u) = 0?
0, 5
Find g such that -4*g**2 - 10*g + 4*g - 4*g - 6*g = 0.
-4, 0
Let d(o) be the second derivative of -3*o + 0 + 1/300*o**6 + 0*o**4 - 3*o**2 + 0*o**5 + 0*o**3. Let h(w) be the first derivative of d(w). What is u in h(u) = 0?
0
Find v, given that -16/13*v + 2/13*v**4 + 30/13*v**2 + 16/13*v**3 - 32/13 = 0.
-4, -1, 1
Let g(d) be the third derivative of -d**5/12 + 5*d**4/12 + 5*d**3/2 + d**2 + 14. Solve g(s) = 0 for s.
-1, 3
Let q = 1585/4 + -1579/4. Determine r so that 45/2*r + 6 + 0*r**4 + 15*r**3 - q*r**5 + 30*r**2 = 0.
-1, 4
Let f(i) be the first derivative of -10/27*i**3 - 7/9*i**2 - 1/18*i**4 + 13 - 2/3*i. Solve f(b) = 0.
-3, -1
Suppose 28 + 12*n + 4*n**2 - 17 - 11 = 0. Calculate n.
-3, 0
Let a(w) = -2*w**3 + 4*w**2 + w + 5. Let s be a(-3). Factor -s + d**2 - 5*d + 92.
d*(d - 5)
Let t(l) be the first derivative of -l**4/12 - l**3/27 + 5*l**2/9 + 8*l/9 - 312. Factor t(k).
-(k - 2)*(k + 1)*(3*k + 4)/9
Let q(o) = 5*o**3 + o**2 - 14*o + 41. Let d(l) = l**3 - 3*l + 8. Let u(x) = 22*d(x) - 4*q(x). Solve u(v) = 0 for v.
-2, 1, 3
Let a(p) be the second derivative of 5/2*p**3 + 0 + 3/4*p**4 + 3*p**2 - 29*p. Find x, given that a(x) = 0.
-1, -2/3
Let j(c) = -5*c - 1. Let b(x) = 3*x**3 + 3*x**2 - 32*x - 28. Let g(i) = b(i) - j(i). Factor g(f).
3*(f - 3)*(f + 1)*(f + 3)
Let o(q) = 21*q**2 + 311*q - 65. Let k(z) = 10*z**2 + 156*z - 34. Let j(y) = 5*k(y) - 2*o(y). Let j(x) = 0. Calculate x.
-20, 1/4
Let p(s) be the first derivative of 0*s**2 + s**5 + 9 + 0*s - 5/2*s**4 + 0*s**3. Let p(l) = 0. What is l?
0, 2
Let o(x) be the second derivative of -x**6/120 + x**5/10 - 7*x**4/16 + 3*x**3/4 + 83*x + 1. Find d, given that o(d) = 0.
0, 2, 3
Let o(v) = v**3 + 23*v**2 + 129*v + 31. Let d be o(-9). Suppose -2/3*w + 0 + 4/3*w**d + 2/3*w**5 - 4/3*w**2 + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let g be 1*(3 - -21)*4/12. Suppose -3*a = 2*x - g, -x - 2*x - a + 12 = 0. Let 4/3*i**2 + 8/3 + x*i = 0. What is i?
-2, -1
Let v(j) be the third derivative of -j**6/60 - j**5/5 + 7*j**4/12 + 2*j**3/3 - 14*j**2. Let k be v(-7). Let x + x - x + 3*x**3 - k*x = 0. What is x?
-1, 0, 1
Suppose 261*r - 253*r - 16 = 0. Factor 0*c + 8/3 - r*c**2 + 2/3*c**3.
2*(c - 2)**2*(c + 1)/3
Let r(a) be the third derivative of a**6/2520 - a**5/280 + a**4/84 + 4*a**3 - 29*a**2. Let p(f) be the first derivative of r(f). Factor p(n).
(n - 2)*(n - 1)/7
Let o(k) be the first derivative of k**6/6 - k**5 - 7*k**4/2 - 2*k**3/3 + 13*k**2/2 + 7*k - 411. Factor o(a).
(a - 7)*(a - 1)*(a + 1)**3
Let l be (-40)/63 - ((-765)/35 - -21). Find i such that -l + 40/9*i**3 - 16/9*i**4 - 13/9*i - i**2 = 0.
-1/4, 1, 2
Let l = -16518 + 49555/3. Factor l + c**2 - 4/3*c.
(c - 1)*(3*c - 1)/3
Let o(j) = -3*j**3 - 3*j**2 + 10*j - 5. Let t be o(4). Let k = t + 207. What is w in 0*w**k - 3*w**4 + 0 + 0*w - 3/5*w**3 - 12/5*w**5 = 0?
-1, -1/4, 0
Let c(m) be the second derivative of m**6/15 - 7*m**4/6 - 2*m**3 + 12*m. Suppose c(r) = 0. Calculate r.
-2, -1, 0, 3
Suppose 3*s = 2*d - 14, -12 = -5*d + d - 2*s. Factor -91*k**2 + 146*k**3 + 60*k + 18*k**3 - 59*k**4 - 8 - 57*k**2 - 25*k**d + 16*k**5.
4*(k - 2)*(k - 1)**3*(4*k - 1)
Let k be (22/4)/(-3*5/(-90)). Suppose -2*v + 71 = 25. Suppose 12 + 48*c - 129*c**3 - v*c**5 - 9*c**2 + k*c**4 + 56*c**5 + 12*c**5 = 0. Calculate c.
-2, -2/5, -1/3, 1
Let s(x) be the second derivative of x**5/10 + x**4/3 - x**3/3 - 2*x**2 - 112*x. Factor s(w).
2*(w - 1)*(w + 1)*(w + 2)
Let h(o) be the third derivative of -2*o**5/75 + o**4/30 + 2*o**3/15 - 5*o**2 + 4*o. Factor h(a).
-4*(a - 1)*