t 14/17*q**2 + n*q**3 - 8/17 + 8/17*q = 0. What is q?
-2, 1/2
Let b(r) be the third derivative of -r**7/175 + 3*r**6/100 + 3*r**5/50 - 7*r**4/20 - 6*r**3/5 - 26*r**2. Determine p, given that b(p) = 0.
-1, 2, 3
Let g be -3 + (-55)/(-9) + (-25)/225. Factor 2/5*o**2 + 0 + 1/5*o**g - 1/5*o**4 + 0*o.
-o**2*(o - 2)*(o + 1)/5
Let p(u) = -3*u**4 - 16*u**3 - 5*u**2 + 16*u + 3. Let r(y) = y**4 + 8*y**3 + 3*y**2 - 8*y - 1. Let n(m) = -3*p(m) - 5*r(m). Suppose n(d) = 0. Calculate d.
-1, 1
Let d = 1823 - 1820. Solve 16/11*y + 2/11*y**d - 8/11 - 10/11*y**2 = 0.
1, 2
Let v(m) be the second derivative of -5*m**7/56 + 21*m**6/40 - 15*m**5/16 - m**4/16 + 9*m**3/4 - 3*m**2 - 28*m + 3. Let v(y) = 0. What is y?
-4/5, 1, 2
Let g(j) be the second derivative of 5*j**8/336 - j**6/24 - 9*j**2/2 + 12*j. Let x(k) be the first derivative of g(k). Find i such that x(i) = 0.
-1, 0, 1
Let u = 123 + -119. Let i(z) be the third derivative of 3/80*z**5 - 2*z**2 - 1/8*z**u + 0 + 0*z - 1/2*z**3. Factor i(x).
3*(x - 2)*(3*x + 2)/4
Let l = 1413/910 - 20/13. Let c(v) be the third derivative of 0 + 0*v - l*v**5 - 1/84*v**4 + 2/21*v**3 + 1/735*v**7 - 6*v**2 + 1/420*v**6. Factor c(j).
2*(j - 1)**2*(j + 1)*(j + 2)/7
Let i(o) = -3*o**3 - 93*o**2 - 772*o - 675. Let w(v) = -2*v**3 - 62*v**2 - 515*v - 450. Let h(q) = 5*i(q) - 7*w(q). Factor h(f).
-(f + 1)*(f + 15)**2
Let r(i) = i**3 - 5*i**2 + 5*i + 1. Let m be r(4). Factor m + 19*q**2 - 45*q + 5 + q**2.
5*(q - 2)*(4*q - 1)
Suppose 8/3*m**3 + 24*m**2 + 22*m - 484/3 = 0. Calculate m.
-11/2, 2
Determine i so that 202/3*i + 44/3 + 6*i**2 = 0.
-11, -2/9
Let c(y) be the first derivative of -y**3 - 45*y**2/2 + 102*y - 512. Solve c(a) = 0.
-17, 2
Let z(s) be the first derivative of -s**3/3 - 13*s**2/2 + 2*s + 4. Let n be z(-13). What is l in -1 + 0 - 4 + 1 + 14*l**3 + 6*l + 24*l**n = 0?
-1, 2/7
Let f(v) be the first derivative of -v**4/6 - 112*v**3/3 - 3136*v**2 - 351232*v/3 - 162. Factor f(n).
-2*(n + 56)**3/3
Suppose -20*v - 18*v = 6*v + 21*v. Factor v*n + 2/21*n**2 - 2/21.
2*(n - 1)*(n + 1)/21
Let -2*s + 7*s**5 - 9*s**4 + 50*s**2 + 8*s - 61*s**2 - 33*s**3 = 0. What is s?
-1, 0, 2/7, 3
Let n(h) be the first derivative of 1/18*h**6 - 1/3*h**4 - 1/5*h**5 + 0*h + 0*h**2 + 9 + 0*h**3. Determine k so that n(k) = 0.
-1, 0, 4
Let z(r) be the first derivative of r**6/42 - 3*r**4/28 - 2*r**3/21 - 26. Suppose z(a) = 0. What is a?
-1, 0, 2
Factor -1811*y + 9*y**2 + 905*y - 33*y**3 + 906*y.
-3*y**2*(11*y - 3)
Let c(t) be the second derivative of -t**4/96 + t**3/16 + t**2/4 + 4*t - 7. Factor c(m).
-(m - 4)*(m + 1)/8
Let p = -11 + 14. Factor -12*v**2 - 18*v**p + 5 - 12*v**4 - 3*v - 5 - 2971*v**5 + 2968*v**5.
-3*v*(v + 1)**4
Let w(r) be the third derivative of r**6/180 - r**5/6 + 3*r**4/4 + 27*r**3 - 16*r**2 + 8*r. Factor w(n).
2*(n - 9)**2*(n + 3)/3
Factor -3000*r + 550*r**2 + 0*r**3 - 33*r**3 + 7209*r**4 + 5625 - 7208*r**4 - 7*r**3.
(r - 15)**2*(r - 5)**2
Let -253 - 16*k + 52*k**2 + 245 - 14*k**2 - 14*k**3 = 0. Calculate k.
-2/7, 1, 2
Suppose 29 = 19*f - 28. Find y, given that 215*y**4 + 20*y**5 + 22990*y**2 - 3410*y**f + 24*y**5 - 46585*y - 73205 - 78*y**5 + 29*y**5 = 0.
-1, 11
Let n(d) = 1 + 2 + 5 - 9. Let j = 43 - 28. Let c(w) = -75*w**2 + 60*w - 27. Let m(f) = j*n(f) - c(f). Find t, given that m(t) = 0.
2/5
Suppose j + 107 - 109 = 0. Let g(b) be the second derivative of 0 + 3*b + 0*b**3 + 3/50*b**5 + 3/20*b**4 - 1/50*b**6 + 0*b**j. Let g(v) = 0. Calculate v.
-1, 0, 3
Let b(v) be the third derivative of -v**6/24 + v**5 - 55*v**4/24 + 2*v**2 - 13*v. Suppose b(z) = 0. What is z?
0, 1, 11
Let s be (-60)/(-9) + 195/(-117). What is v in -1/2*v + 1/3*v**2 + 1/3*v**3 - 1/2*v**4 + 1/6*v**s + 1/6 = 0?
-1, 1
Let k(n) be the third derivative of -n**5/150 + 7*n**4/60 + 44*n**3/15 - 8*n**2 - 23. Solve k(s) = 0.
-4, 11
Let m = 164 - 164. Factor 5/2*y**3 - 1/2*y**4 - 9/2*y - 3/2*y**2 + m.
-y*(y - 3)**2*(y + 1)/2
Let r(m) = -m**2. Let u(w) = -5*w**4 + 35*w**3 - 61*w**2 - 15*w + 90. Let c(x) = 4*r(x) + u(x). Factor c(d).
-5*(d - 3)**2*(d - 2)*(d + 1)
Let i be (4/3)/(238/(-357)) - 46/(-3). Solve -i - 2/15*s**2 + 8/3*s = 0.
10
Let k = -136 + 75. Let v = -61 - k. Factor -3/4*s + 1/4*s**2 + v.
s*(s - 3)/4
Let c be 1/(5/(-15)) + -2 + 7. Suppose 2 - 8*l - 3*l**c - l**2 + 2*l**4 + 8*l = 0. Calculate l.
-1, 1
Determine b, given that -1/7*b**3 - 17/7*b - 8/7 - 10/7*b**2 = 0.
-8, -1
Let p(d) = 10*d - 145*d**2 - 3 + 17*d + 130*d**2 - 3*d**3. Let k(f) = -f**3 + f + 1. Let j be -8 - -1*(0 + 2). Let u(x) = j*k(x) + p(x). Factor u(z).
3*(z - 3)*(z - 1)**2
Let p(i) = i**4 - i**2 + 3*i - 1. Let h(t) = 9*t**4 + 33*t**3 + 30*t**2 - 6*t - 2. Let j(g) = -h(g) + 2*p(g). Let j(y) = 0. Calculate y.
-3, -2, 0, 2/7
Let p be 7 + -1 + (-33 - -27) + 4. Let r be (-3)/(-4)*(-4)/(-6). Suppose -1/2*j**p + j**3 + r*j**2 - j + 0 = 0. Calculate j.
-1, 0, 1, 2
Let x(l) be the third derivative of 0 - 1/80*l**5 + 16*l**2 + 1/8*l**4 - 3/8*l**3 + 0*l. Determine w so that x(w) = 0.
1, 3
Let i(n) be the third derivative of -n**7/105 - n**6/10 - 4*n**5/15 + 329*n**2. Suppose i(q) = 0. Calculate q.
-4, -2, 0
Find p, given that 314*p + 16 + 6 - 293*p - 22*p**2 - 21*p**3 - p**2 + p**4 = 0.
-1, 1, 22
Let b(x) be the third derivative of 1/10*x**6 - 2/105*x**7 + 0 + 4/3*x**3 + 0*x - 1/15*x**5 - 1/2*x**4 + x**2. Find m such that b(m) = 0.
-1, 1, 2
Let y(o) be the second derivative of -9*o**5/20 + 25*o**4/4 + 53*o**3/6 + 9*o**2/2 - 40*o - 2. Solve y(i) = 0.
-1/3, 9
Let x(u) = -3*u**2 - 3*u - 6. Let h be (-1)/(-5) - (-14)/5. Let i(b) = b + 0*b + 3 - h + b**2. Let n(y) = -6*i(y) - x(y). Factor n(g).
-3*(g - 1)*(g + 2)
Let o = 803 + -800. Let g(l) be the first derivative of 2 - 2/5*l - 1/10*l**2 + 1/15*l**o. Factor g(v).
(v - 2)*(v + 1)/5
Suppose 2*g = -p, 2*g = 3*g + 1. Let l(f) = -4*f + 6. Let u(t) = t**2 + 16*t - 2*t + 5*t - 31. Let w(x) = p*u(x) + 11*l(x). Suppose w(q) = 0. What is q?
1, 2
Let k(g) be the second derivative of -6*g - 11/16*g**4 - 1/2*g**3 - 9/40*g**5 + 0 + 3*g**2. Let o(n) be the first derivative of k(n). Factor o(c).
-3*(c + 1)*(9*c + 2)/2
What is m in 1/3*m**4 + 17/3*m**2 + 2 + 17/3*m + 7/3*m**3 = 0?
-3, -2, -1
Let k(q) be the second derivative of -q**5/4 - 10*q**4/3 - 35*q**3/2 - 45*q**2 - 14*q - 15. Let k(a) = 0. What is a?
-3, -2
Let p = 4209/8414 + -1/4207. Suppose 1/2*a + 1/6 + p*a**2 + 1/6*a**3 = 0. What is a?
-1
Let v(j) be the second derivative of -j**7/1260 + j**6/360 + j**4/3 - 3*j. Let t(x) be the third derivative of v(x). Determine c, given that t(c) = 0.
0, 1
Factor 1/7*d**2 - 30/7 - d.
(d - 10)*(d + 3)/7
Let q = 42 - 54. Let b be ((-1*1)/1)/(30/q). Factor -2/5 + 4/5*j - b*j**2.
-2*(j - 1)**2/5
Suppose 5*q = 8*q - 9. Determine b, given that -b + b + 85*b**q - 55*b**3 - 45*b**4 + 20*b**5 - 5*b**2 = 0.
0, 1/4, 1
Let c = 677 + -674. Factor -16/5*o**c - 2/5 - 8*o**2 - 17/5*o.
-(o + 2)*(4*o + 1)**2/5
Let s = -6 + 1. Let m = s + 9. Let r(q) = q**2 + q. Let y(z) = 3*z**3 + 7*z**2 + z - 3. Let o(v) = m*r(v) - y(v). Factor o(p).
-3*(p - 1)*(p + 1)**2
Suppose 3*a + 6*c - 6 = c, c + 8 = 4*a. Factor -z**3 + z - 28*z**2 - 1 + 29*z**a + 0*z**3.
-(z - 1)**2*(z + 1)
Determine q so that 3/7*q**5 - 108/7*q + 12/7*q**2 - 36/7*q**4 + 0 + 81/7*q**3 = 0.
-1, 0, 2, 9
Let a be (-136)/(-190) - (-8)/(-20). Let i = a - -15/133. Factor -i*b**3 - 1/7*b - 1/7*b**4 + 0 - 3/7*b**2.
-b*(b + 1)**3/7
Let n(h) be the first derivative of h**5/15 + 29*h**4/12 + 224*h**3/9 + 98*h**2/3 + 52. Factor n(g).
g*(g + 1)*(g + 14)**2/3
Factor -4*n**3 - 6*n + 24*n**2 - 35*n - 64*n**2 - 23*n.
-4*n*(n + 2)*(n + 8)
Let y(g) be the first derivative of g**6/6 + 7*g**5/5 + 9*g**4/2 + 20*g**3/3 + 4*g**2 - 31. Factor y(r).
r*(r + 1)*(r + 2)**3
Let l(f) be the second derivative of 1/56*f**7 + 1/8*f**3 - 4*f + 0 + 0*f**4 - 3/40*f**5 + 0*f**2 + 0*f**6. Solve l(j) = 0.
-1, 0, 1
Let t(u) be the second derivative of -u**4/20 - 2*u**3/5 + 9*u. Solve t(r) = 0 for r.
-4, 0
Let i = 15105333/4528498 - 5405/1691. Let q = i + 3/206. Let -q*d**2 + 2/13*d + 0 = 0. Calculate d.
0, 1
Find i such that 2/5*i**4 + 18/5*i**2 + 4/5 - 14/5*i - 2*i**3 = 0.
1, 2
Let w(c) be the first derivative of -5*c**3/3 + 155*c**2 - 4805*c + 105. Factor w(m).
-5*(m - 31)**2
Let b(w) = 11*w + 23. Let u be b(-8). Let r = -322/5 - u. Factor 0 + 0*c + r*c**3 - 3/5*c**2.
3*c**2*(c - 1