*r**2 + 0*r**5 + 0*r**3 + r - 1/30*r**6 + 0*r**4 + 2. Let q(y) be the first derivative of z(y). Find l such that q(l) = 0.
0
Factor -1/11*c**5 - 5/11 + 10/11*c**3 + 2/11*c**2 + 3/11*c**4 - 9/11*c.
-(c - 5)*(c - 1)*(c + 1)**3/11
Let z(x) = -2*x**3 + 4*x**3 - 1 - x**3. Let y = -343 - -339. Let h(q) = -3*q**3 + q**2 - 2*q + 4. Let g(t) = y*z(t) - h(t). Suppose g(v) = 0. Calculate v.
-2, 0, 1
Let r be (10/3)/(3/36*4). Let -r*b + 25 + 15*b - 25 - 5*b**2 = 0. Calculate b.
0, 1
Let i(p) = -2*p + 4. Let c be i(0). Let o(y) = 2*y**2 - 8*y. Let r be o(c). Factor 0*v**3 + 1/3*v**4 + 0*v + 0*v**2 + 1/3*v**5 + r.
v**4*(v + 1)/3
What is u in -54/5*u**5 - 8/5 + 162/5*u**4 - 18/5*u**3 - 146/5*u**2 - 64/5*u = 0?
-1/3, 2
Let h(d) = 3*d**3 - 85*d**2 + 27*d + 32. Let m be h(28). Let w(c) be the second derivative of 1/3*c**3 - 2/3*c**2 - m*c + 0*c**4 - 1/30*c**5 + 0. Factor w(x).
-2*(x - 1)**2*(x + 2)/3
Let t(w) be the second derivative of -7*w - 19/30*w**5 - 16/9*w**3 + 25/18*w**4 + 4/3*w**2 + 0 + 7/45*w**6 - 1/63*w**7. Let t(x) = 0. Calculate x.
1, 2
Let -1/7*a + 8/7*a**2 + 1/7*a**3 - 8/7 = 0. What is a?
-8, -1, 1
Let k(w) = -w - 1. Let b(l) = 25*l**2 + 11*l + 2. Let d(c) = b(c) + k(c). Factor d(o).
(5*o + 1)**2
What is f in 11*f**5 - 25*f**3 - 30 - 16*f**5 + 17*f**4 + 55*f + 13*f**4 - 25*f**3 = 0?
-1, 1, 2, 3
Let q(s) = s**3 + 3*s**2 - 7*s - 9. Let w be q(-4). Suppose -3*o - w = -15. Factor -134*y**2 + 158*y + 16*y**o + 554*y**2 + 64 - 146*y - 364*y - 148*y**3.
4*(y - 4)**2*(y - 1)*(4*y - 1)
Suppose 4*x - 2*c - 12 = 2*c, x - 23 = -4*c. Suppose -x*h + 8 = 4*k - 3*h, -3*h = k. Factor 4/3*y**2 - 4/3 - 2/3*y + 2/3*y**k.
2*(y - 1)*(y + 1)*(y + 2)/3
Let s(m) be the second derivative of -27*m**5/20 - 3*m**4/2 + 10*m**3 - 12*m**2 - 154*m. Factor s(l).
-3*(l + 2)*(3*l - 2)**2
Let y = -3601 - -3603. Factor -2/15*f**y + 2/5 + 4/15*f.
-2*(f - 3)*(f + 1)/15
Let t(h) be the second derivative of 2*h**7/105 - 7*h**6/90 - h**5/15 + 10*h**3/3 - 11*h. Let b(v) be the second derivative of t(v). Factor b(y).
4*y*(y - 2)*(4*y + 1)
Let w(h) be the first derivative of 2*h**6/5 - 2*h**5/5 - 7*h**4/10 + 2*h**3/3 + h**2/5 - 300. Let w(r) = 0. Calculate r.
-1, -1/6, 0, 1
Let i(h) be the first derivative of h**3/3 - 39*h**2 + 1521*h - 240. Suppose i(u) = 0. Calculate u.
39
Let c(g) be the third derivative of -g**8/240 + 13*g**7/525 + g**6/75 - 793*g**2. What is f in c(f) = 0?
-2/7, 0, 4
Let r(p) be the first derivative of -p**7/1960 - p**6/840 - 28*p**3/3 + p**2/2 + 35. Let y(t) be the third derivative of r(t). Let y(v) = 0. What is v?
-1, 0
Let m(o) be the third derivative of o**6/45 - 23*o**5/90 + 7*o**4/18 + 5*o**3/9 - 22*o**2. Factor m(q).
2*(q - 5)*(q - 1)*(4*q + 1)/3
Let n(t) be the second derivative of t**7/1260 + t**6/540 - t**5/180 - t**4/36 + 3*t**3/2 - 5*t. Let z(d) be the second derivative of n(d). Factor z(y).
2*(y - 1)*(y + 1)**2/3
Let q(m) be the third derivative of -m**8/336 + m**7/30 + m**6/24 - 5*m**5/4 - 160*m**2. What is a in q(a) = 0?
-3, 0, 5
Let b(a) be the first derivative of a**5/240 + a**4/24 + a**3/6 + 3*a**2/2 - 5. Let p(i) be the second derivative of b(i). Factor p(g).
(g + 2)**2/4
Factor -2/3*d**3 + 2/3*d - 34/3 + 34/3*d**2.
-2*(d - 17)*(d - 1)*(d + 1)/3
Let z = -662 + 79441/120. Let y(b) be the second derivative of 0*b**4 + 0*b**5 - 9*b + 0*b**3 + 0*b**2 + z*b**6 + 0. Factor y(h).
h**4/4
Let o be -3 - (2 + -48 + -3). Factor 22*x**2 + 45*x + 8*x**2 - o - 3*x**2 + 3*x**3 - 29.
3*(x - 1)*(x + 5)**2
Let d(o) = o**3 - 8*o**2 + 6. Let f(a) = 2*a**3 - 15*a**2 + 11. Let r(z) = 11*d(z) - 6*f(z). Factor r(g).
-g**2*(g - 2)
Let g(d) = 2*d - 14. Let c be g(10). Solve 4*y**3 - c - 4*y - 8*y**2 + 14 + 0*y = 0 for y.
-1, 1, 2
Let p(a) be the second derivative of -5*a**4/12 - 10*a**3/3 + 30*a**2 + 4*a + 8. What is s in p(s) = 0?
-6, 2
Find v such that -5*v**2 + 69*v - 2420 + 270*v - 223*v + 104*v = 0.
22
Let m(t) = t**2 - 118*t. Let b(a) = -5*a**2 + 704*a. Let n(p) = -6*b(p) - 34*m(p). Factor n(x).
-4*x*(x + 53)
Let q be (129/688)/((-9)/(-6)). Let z(m) be the second derivative of 3/16*m**4 + 1/40*m**6 - 9/80*m**5 + 0 - q*m**3 + m + 0*m**2. What is y in z(y) = 0?
0, 1
Let s(g) be the second derivative of -g**4/84 + 5*g**3/42 + 3*g**2/7 + 50*g + 2. Factor s(a).
-(a - 6)*(a + 1)/7
Let c be 6*1 - 45780/7623. Let h = c - -740/2541. Factor h*a**2 - 8/7*a + 8/7.
2*(a - 2)**2/7
Let x(h) = -2*h**2 + 6*h. Let f(p) = -p + 3*p**2 + 2*p - 4*p - 8*p. Let l(i) = -3*f(i) - 5*x(i). Suppose l(n) = 0. Calculate n.
-3, 0
Let w(q) be the third derivative of q**6/240 + q**5/80 + 4*q**3/3 + 10*q**2. Let g(z) be the first derivative of w(z). Factor g(y).
3*y*(y + 1)/2
Let h(d) be the third derivative of -d**7/210 + d**6/24 + 13*d**5/60 + 7*d**4/24 + 610*d**2. Factor h(z).
-z*(z - 7)*(z + 1)**2
Factor 619/4*b - 9/4*b**2 + 69/2.
-(b - 69)*(9*b + 2)/4
Let j(k) be the second derivative of -1/60*k**6 + 9*k - 3/80*k**5 + 0 + 0*k**2 + 0*k**3 - 1/48*k**4. Factor j(d).
-d**2*(d + 1)*(2*d + 1)/4
Let n be (-66)/495 - 8/(-10). Find h, given that 0 - 2/9*h**5 + 0*h + n*h**3 + 0*h**4 + 4/9*h**2 = 0.
-1, 0, 2
Let t(k) be the third derivative of k**8/784 + k**7/70 + 2*k**6/35 + 3*k**5/35 - 108*k**2. Factor t(a).
3*a**2*(a + 2)**2*(a + 3)/7
Let f(a) = -20*a**5 - 8*a**4 - 3*a**3 - 3. Let y(t) = 40*t**5 + 17*t**4 + 7*t**3 + 7. Let u(s) = -7*f(s) - 3*y(s). Factor u(x).
5*x**4*(4*x + 1)
Let n(c) be the first derivative of -84*c**5/25 - 33*c**4/4 - 24*c**3/5 + 3*c**2/2 + 6*c/5 - 21. Suppose n(k) = 0. What is k?
-1, -1/4, 2/7
Let x(f) be the second derivative of 2*f**6/25 - 7*f**5/50 - f**4/30 + 2*f**3/15 + 2*f - 28. Find t such that x(t) = 0.
-1/2, 0, 2/3, 1
Let f(o) be the third derivative of -o**6/40 - 3*o**5/5 + 13*o**4/8 - 79*o**2 - 3*o. Let f(j) = 0. What is j?
-13, 0, 1
Suppose 9*o + 3 = 10*o. Factor -4*p**2 - 4*p**3 + 7*p**3 - 7*p**o + 4*p**4 + 4*p**5.
4*p**2*(p - 1)*(p + 1)**2
Let n(r) be the third derivative of 1/840*r**6 - 1/210*r**5 + 0 + 0*r + 1/21*r**3 - 1/168*r**4 - 4*r**2. Let n(i) = 0. Calculate i.
-1, 1, 2
Let h = 5 - 13. Let r be (-5)/4*32/h. Solve 11*i**2 - 3*i**4 + 0*i**r + i**5 - 7*i**2 = 0 for i.
-1, 0, 2
Let r(p) be the second derivative of p**7/2520 + p**6/20 + 27*p**5/10 + 15*p**4/4 - 47*p. Let u(l) be the third derivative of r(l). Find f, given that u(f) = 0.
-18
Let v be 1/(((-10)/4)/(-5)). Suppose 0 = -k + 4*p + 29, -p - 65 = -4*k - 2*p. Factor 2 - z**3 + k*z**v - 17*z**2 + 3*z.
-(z - 2)*(z + 1)**2
Suppose -5*r + 14 = -6. Determine c so that c**3 - r*c**3 + 2*c**3 + 10 + 6*c**3 + 25*c + 20*c**2 = 0.
-2, -1
Let w(o) be the second derivative of 4/85*o**6 + 0 + 9/170*o**5 + 1/51*o**4 - 18*o + 0*o**3 + 5/357*o**7 + 0*o**2. Factor w(t).
2*t**2*(t + 1)**2*(5*t + 2)/17
Let j(a) = a**4 + a. Let t(y) = -5*y**4 + 15*y**2 + 6*y - 24. Let c(x) = -20*j(x) - 5*t(x). Suppose c(l) = 0. Calculate l.
-3, -2, 1, 4
Let t = 32 + -29. Factor -t + 5 + 26*z**2 - 28*z**2.
-2*(z - 1)*(z + 1)
Let f = 354 + -707/2. Let u(r) be the second derivative of -3*r + f*r**4 + 0*r**2 - 2/5*r**5 + 0*r**3 + 0. Factor u(q).
-2*q**2*(4*q - 3)
Let s be ((-40)/(-28))/(8/28). Let d = -2 + 3. Find o such that d - 1 - 2*o**2 + s - 3 = 0.
-1, 1
Solve 26*c**2 + 338*c + 4394/3 + 2/3*c**3 = 0.
-13
Let w(m) be the second derivative of -m**6/10 - 9*m**5/20 + 9*m**4/4 - 5*m**3/2 + 2*m + 45. Factor w(p).
-3*p*(p - 1)**2*(p + 5)
Suppose -259*t = -256*t - 12. Suppose h = -t*h. Let -2/5*v**4 + 0*v + 2/5*v**5 - 4/5*v**3 + 0*v**2 + h = 0. What is v?
-1, 0, 2
Solve 0 + 6/7*n**2 + 2/7*n**3 - 36/7*n = 0.
-6, 0, 3
Let g(p) be the first derivative of 529*p**3 + 414*p**2 + 108*p + 314. Factor g(n).
3*(23*n + 6)**2
Let a(x) be the first derivative of x**7/420 + x**6/180 - x**5/30 + 3*x**3 + 11. Let v(t) be the third derivative of a(t). Find c, given that v(c) = 0.
-2, 0, 1
Find y such that 17*y**2 + 7*y**2 - 24 + 3*y**3 + 0*y - 3*y = 0.
-8, -1, 1
Let p(h) be the second derivative of -h**6/15 - h**5/25 + h**4/2 - 4*h**3/15 - 4*h**2/5 + 27*h. Find q such that p(q) = 0.
-2, -2/5, 1
Let f be (190/836)/(0 + 15/12). Factor 6/11*o - 4/11 - f*o**2.
-2*(o - 2)*(o - 1)/11
Suppose -5*x = -z - 10*x, 2*z - 14 = 4*x. Let c be 3 - ((-6)/15 - (-7)/z). Factor 2/9*r + 0 + 2/9*r**c.
2*r*(r + 1)/9
Suppose -3*q - 10 + 79 = 0. Let d be 2 + (3 - q/3) - -3. Factor g**4 - 2/3*g