 + 8 - 35 - 21 - 53*c.
-3*(c + 4)**2
Let w(j) be the third derivative of 0*j + 0 - 1/10*j**5 + 9/40*j**6 - 8*j**2 + j**3 - 9/8*j**4. Solve w(f) = 0.
-1, 2/9, 1
What is m in 0 + 168/13*m**2 - 94/13*m**3 + 12/13*m**4 - 88/13*m + 2/13*m**5 = 0?
-11, 0, 1, 2
Let o(z) = 11*z**2 - 8*z - 30. Let r(g) = -g**2 + 1. Let a(l) = o(l) + 3*r(l). Let y(j) = 4*j**2 - 4*j - 14. Let n(f) = -6*a(f) + 11*y(f). Factor n(k).
-4*(k - 2)*(k + 1)
Let c(x) be the first derivative of -3/2*x**2 - 12 + 2*x**3 - 9*x. Let c(z) = 0. What is z?
-1, 3/2
Let v = -673 - -188441/280. Let s(a) be the third derivative of -1/160*a**6 + 0 + 1/80*a**5 + 0*a - v*a**7 + 0*a**3 + 1/32*a**4 - 4*a**2. Factor s(g).
-3*g*(g - 1)*(g + 1)**2/4
Let d(k) be the third derivative of k**5/510 + 121*k**4/102 + 14641*k**3/51 + 29*k**2 + 1. Determine l, given that d(l) = 0.
-121
Let l(r) be the first derivative of 8/7*r**2 - 20/7*r - 8 + 4/21*r**3. Find p, given that l(p) = 0.
-5, 1
Let f be (6/5)/(12/40). Find u, given that 27/2*u**f + 45/2*u**3 + 0 + 18*u - 48*u**2 = 0.
-3, 0, 2/3
Let h = -4397 - -241647/55. Let g = 42/11 + h. Solve 0*p**2 + 0*p - 2*p**4 - 8/5*p**5 + 0 - g*p**3 = 0 for p.
-1, -1/4, 0
Let m(d) be the second derivative of -d**8/56 + 4*d**7/105 + d**6/60 - d**5/15 + d**2 + 2*d. Let h(g) be the first derivative of m(g). Factor h(n).
-2*n**2*(n - 1)**2*(3*n + 2)
Let v(s) be the first derivative of s**7/1470 - s**5/210 + 14*s**3/3 - 2. Let p(g) be the third derivative of v(g). Factor p(b).
4*b*(b - 1)*(b + 1)/7
Let v be 24 + ((-309)/(-9) - -25). Factor -25*n**2 - 1/6 - v*n**3 - 10/3*n - 625/6*n**4.
-(5*n + 1)**4/6
Let x(n) be the third derivative of -n**7/105 - n**6/30 + n**5/6 + n**4/2 - 2*n**2 + 22*n. Determine p so that x(p) = 0.
-3, -1, 0, 2
Suppose 0*q + q = 4. Suppose -47*l + q*l**2 - 32 - 67*l + 86*l = 0. What is l?
-1, 8
Let j(o) be the second derivative of 25*o**4/36 + 15*o**3 + 243*o**2/2 + 196*o. Factor j(i).
(5*i + 27)**2/3
Let o(i) be the first derivative of 2*i**5/55 + i**4/22 - 6*i**3/11 + i**2 - 8*i/11 + 123. Solve o(d) = 0.
-4, 1
Let c(b) be the third derivative of -b**6/210 - 2*b**5/35 + b**4/6 - 19*b**2 - b. Suppose c(o) = 0. Calculate o.
-7, 0, 1
Let u(h) be the first derivative of -h**5/15 + h**4/6 - h**3/9 + 83. Find l such that u(l) = 0.
0, 1
Let a(u) be the second derivative of u**5/30 + 25*u**4/36 + 26*u**3/9 + 10*u**2/3 + 524*u. Factor a(x).
(x + 2)*(x + 10)*(2*x + 1)/3
Suppose -58 - 59 = -27*m - 12*m. Solve -15/2*n - 3 + 3/2*n**m + 3/2*n**4 - 9/2*n**2 = 0 for n.
-1, 2
Suppose -8*k + 2558 = 2542. Find c, given that -1/5*c**4 + 1/5 - 2/5*c**3 + 0*c**k + 2/5*c = 0.
-1, 1
Let k(v) be the second derivative of -49*v**4/138 - 28*v**3/23 - 36*v**2/23 - v + 9. Factor k(y).
-2*(7*y + 6)**2/23
Let w(q) be the second derivative of 13*q**5/60 - 25*q**4/18 + 22*q**3/9 + 4*q**2/3 + 27*q. Find x such that w(x) = 0.
-2/13, 2
Suppose -6*l**4 - 35*l**3 - 9*l**3 + 24*l**5 - 2*l - 12*l**4 - 3*l**2 - 19*l**3 + 20*l = 0. What is l?
-1, -3/4, 0, 1/2, 2
Let b(l) = 2*l - 12. Let s be b(8). Find d, given that -40*d**2 + 32 - 10*d**2 + 4*d**5 - 16*d + 10*d**2 + s*d**3 + 16*d**4 + 0*d**5 = 0.
-2, 1
Let o(g) be the second derivative of g**7/105 - 2*g**6/15 + 7*g**5/30 + 7*g**2 + 34*g. Let l(t) be the first derivative of o(t). Let l(f) = 0. What is f?
0, 1, 7
Suppose 71*d - 616 = -83*d. Factor -100/7*u**2 + 76/7*u**3 + 4/7*u**5 - d*u**4 + 64/7*u - 16/7.
4*(u - 2)**2*(u - 1)**3/7
Let c(v) be the first derivative of 1/4*v**4 + 4*v - 1/3*v**3 - 2*v**2 + 12. Let c(y) = 0. Calculate y.
-2, 1, 2
Suppose u = 4*u - 9. Suppose 4*q + u = 11. Solve 6*s**q - 5*s + 5*s - 3*s**3 = 0.
0, 2
Let d = 6813 - 47685/7. Solve d*y + 4/7 + 2/7*y**2 = 0.
-2, -1
Let n(h) be the first derivative of -4*h**5/5 + 11*h**4 - 60*h**3 + 162*h**2 - 216*h + 463. Factor n(u).
-4*(u - 3)**3*(u - 2)
Let w(s) = s**2 + 40*s - 203. Let q = 55 - 75. Let k(n) = -4*n**2 - 120*n + 610. Let b(g) = q*w(g) - 6*k(g). Factor b(c).
4*(c - 10)**2
Let h(l) = 4*l**2 + 271*l + 17956. Let o(c) = 7*c**2 + 541*c + 35912. Let q(x) = 5*h(x) - 3*o(x). Factor q(p).
-(p + 134)**2
Let 972*b + 100*b**3 + 540*b**2 + 2916/5 = 0. What is b?
-9/5
Let n(m) be the second derivative of -2/3*m**2 + 0 - 169/36*m**4 - 9*m + 26/9*m**3. Let n(l) = 0. Calculate l.
2/13
Let r(b) be the first derivative of 3*b**5/40 - 3*b**4/8 + b**3/4 + 3*b**2/4 - 9*b/8 - 101. Let r(f) = 0. Calculate f.
-1, 1, 3
Let u = 12 - 10. Factor -7*b**4 + 26*b**3 - 24*b**u - 3*b**2 + 9*b + 2 + 2 - 5*b.
-(b - 2)*(b - 1)**2*(7*b + 2)
Suppose 4*l - 6 = -4*z + 2, -z + 2 = -2*l. Let f(i) be the first derivative of 5/3*i**z - 8 - 14/9*i**3 + 4/3*i. Suppose f(x) = 0. What is x?
-2/7, 1
Let v(g) be the first derivative of 1/9*g**6 - 4/9*g**3 + 0*g**2 + 11 + 5/6*g**4 - 8/15*g**5 + 0*g. Factor v(y).
2*y**2*(y - 2)*(y - 1)**2/3
Solve -92*t**4 + 40685*t**2 - 21*t**5 - 40739*t**2 + 296*t**4 - 129*t**3 = 0.
-2/7, 0, 1, 9
Let q be 1524/840 - 16/160. Solve -3/7*j - 18/7 + q*j**2 - 3/7*j**3 = 0.
-1, 2, 3
Let b = -17967/4 - -4492. Factor -3*o + 3/2*o**2 + 2 - b*o**3.
-(o - 2)**3/4
Let j be (-110)/33*(0 + 36/(-10)). Let w(n) = 7*n - 82. Let p be w(j). Suppose -12/13*s - 18/13 - 2/13*s**p = 0. What is s?
-3
Suppose 4*a - 11 - 8 = -m, 5*m = 2*a + 7. Let b be m/7 + (-192)/(-42). Determine p so that 0*p**2 - 2 + b - 18 + 5*p**2 - 10*p = 0.
-1, 3
Let d(l) = 22*l**2 + 1144*l - 51922. Let f(k) = 8*k**2 + 382*k - 17308. Let t(b) = 5*d(b) - 14*f(b). Factor t(w).
-2*(w - 93)**2
Let n be ((-36)/(-14))/((-3)/(-21)). Suppose -97*b + 88*b = -n. Solve -32/21 + 16/21*g - 2/21*g**b = 0 for g.
4
Let s(n) be the first derivative of n**4/2 - 14*n**3/3 - n**2 + 14*n + 74. Find j such that s(j) = 0.
-1, 1, 7
Let a(k) be the first derivative of 0*k**4 - 1/27*k**3 + 1/270*k**5 + 0*k - 2*k**2 - 4. Let d(p) be the second derivative of a(p). Factor d(q).
2*(q - 1)*(q + 1)/9
Let u(n) be the first derivative of 9*n**4/28 - 11*n**3/7 + 15*n**2/14 + 9*n/7 - 86. Factor u(r).
3*(r - 3)*(r - 1)*(3*r + 1)/7
Factor 99/8*y + 3/8*y**3 - 27/4*y**2 - 6.
3*(y - 16)*(y - 1)**2/8
Let z(r) be the first derivative of r**5/40 - r**3/24 - 54. Suppose z(x) = 0. Calculate x.
-1, 0, 1
Let x(n) = 9*n**2 - 63*n + 58. Let c(u) = -8*u**2 + 61*u - 56. Let d(s) = 4*c(s) + 3*x(s). Let d(v) = 0. Calculate v.
1, 10
Let s be -20*12/(-105) - (1 + 1). Let p(b) be the first derivative of s*b**2 - 6/7*b + 2/21*b**3 - 10. Factor p(a).
2*(a - 1)*(a + 3)/7
Let p(a) be the first derivative of -a**3 - 15*a**2 + 72*a - 370. Suppose p(u) = 0. What is u?
-12, 2
Suppose 7*g - 35 - 7 = 0. Let i(v) be the second derivative of 0*v**3 - 1/150*v**g + 5*v + 0 - 1/10*v**2 + 1/30*v**4 + 0*v**5. What is r in i(r) = 0?
-1, 1
Let h(a) be the first derivative of 0*a + 9*a**2 + a**3 - 3/4*a**4 + 5. Factor h(x).
-3*x*(x - 3)*(x + 2)
Let i(n) = -13*n**2 + 53*n - 74. Let o(y) = -7*y**2 + 27*y - 38. Let g be 34/(-6) + (11/3 - 3). Let u(k) = g*o(k) + 3*i(k). Solve u(m) = 0.
2, 4
Let i(o) be the second derivative of 4/3*o**3 + 8*o - 1/6*o**4 + 0*o**2 + 0. Factor i(f).
-2*f*(f - 4)
Let m = 355 + -300. Suppose 0 = -39*x + 172 - m. Factor 8/9*o**2 + 4/9*o**x + 0 + 4/9*o.
4*o*(o + 1)**2/9
Let u(d) be the first derivative of d**6/180 + d**5/20 - d**4/3 - d**3/3 - 26. Let k(b) be the third derivative of u(b). Factor k(o).
2*(o - 1)*(o + 4)
Let i(l) be the third derivative of -l**7/1260 - 3*l**6/80 - 11*l**5/15 - 68*l**4/9 - 128*l**3/3 - 8*l**2 + 15*l. Let i(r) = 0. What is r?
-8, -3
Factor 4*h**3 + 0*h**3 + 26*h**2 - 56 - 56*h**2 + 25*h**2 + 29*h**2 - 36*h.
4*(h - 2)*(h + 1)*(h + 7)
Let f be ((-4)/30 - 1/(-3))*10. Suppose -b - f*i + 2 = b, -2*i = 6. Find p, given that 0*p - 8/3*p**3 - b*p**2 + 4/3 = 0.
-1, 1/2
Let w = -1617 + 4853/3. Factor -2/9*x**2 + 0 + w*x.
-2*x*(x - 3)/9
Suppose 0 = -3*c + 4*w - 8, -3*c + 2 = 2*w - 2. Factor 2/13*f**5 + 0*f**4 + c + 2/13*f - 4/13*f**3 + 0*f**2.
2*f*(f - 1)**2*(f + 1)**2/13
Let t(m) be the second derivative of -m**5/120 + 37*m**4/24 - 1369*m**3/12 + 50653*m**2/12 - m + 30. Factor t(u).
-(u - 37)**3/6
Let k(w) = 17*w**3 - 15*w**2 - 20*w. Let n(i) = 3*i**3 - i**2 - i. Let f(u) = 5*k(u) - 30*n(u). Suppose f(c) = 0. What is c?
-7, -2, 0
Let d be 2*(-7)/28*0. Factor 0 + d*n + 4/7*n**2.
4*n**2/7
Find x such that 80/9*x - 32/9 + 20/9*x**3 - 2/9*x**4 - 22/3*x**2 = 0.
1, 4
Suppo