t p be f(-19). Suppose -p*h + 0*h = 0. Suppose -1/5*k + h - 1/5*k**2 = 0. Calculate k.
-1, 0
Let s(o) be the second derivative of o**7/504 - o**6/36 - 5*o**4/4 - 8*o. Let h(z) be the third derivative of s(z). Find u such that h(u) = 0.
0, 4
Let i(n) be the second derivative of n**5/110 + 107*n**4/66 + 265*n**3/3 + 2809*n**2/11 - 238*n. Let i(m) = 0. What is m?
-53, -1
Suppose -5*n + 44 = 4*o, -31*o + 28*o + 2*n = -10. Determine i, given that 8/3*i**2 + 0*i - o*i**5 + 0 - 32/3*i**3 + 14*i**4 = 0.
0, 2/3, 1
Suppose -36 = -5*s - 0*s - 4*u, -5*u = 3*s - 19. Let a(o) be the first derivative of 1 - 9*o**3 + 0 + s*o**3. Solve a(f) = 0.
0
Let i(s) = 15*s - 30. Let r be i(2). Let a(n) be the third derivative of 0*n**4 - 1/45*n**5 - 1/180*n**6 - 4*n**2 + 0*n + 0 + r*n**3. What is d in a(d) = 0?
-2, 0
Let x(b) be the second derivative of b**5/120 + 7*b**4/24 + 49*b**3/12 + 21*b**2/2 + 3*b - 1. Let t(p) be the first derivative of x(p). Factor t(h).
(h + 7)**2/2
Let n(q) = -15*q**3 + 69*q**2 - 339*q + 450. Let a(i) = -7*i**3 + 35*i**2 - 169*i + 225. Let l(f) = -9*a(f) + 4*n(f). Suppose l(g) = 0. What is g?
3, 5
Suppose 4*h + 6 = -2*w - h, -3*w - 5*h = 4. Suppose u - 2 = 3. Factor -2*f**2 + 2*f - 13 - f + w*f**4 + 13 - f**u.
-f*(f - 1)**3*(f + 1)
Let w(l) = -3*l**3 - 26*l**2 + 60*l + 93. Let g(z) = -z**3 - 13*z**2 + 31*z + 47. Let y(r) = 5*g(r) - 2*w(r). Let y(i) = 0. What is i?
-1, 7
Let a = 24752 + -272134/11. Find p such that a*p + 50/11*p**3 - 36/11 - 160/11*p**2 = 0.
3/5, 2
Let v(t) be the second derivative of 0 + 10*t + 5/12*t**4 + 5/4*t**2 - 10/9*t**3 + 0*t**5 - 1/36*t**6. Factor v(r).
-5*(r - 1)**3*(r + 3)/6
Find a, given that -18/7*a**2 - 4/7*a + 4/7*a**3 + 16/7 + 2/7*a**4 = 0.
-4, -1, 1, 2
Find m such that 33/2*m**2 + 35/2 - 69/2*m + 1/2*m**3 = 0.
-35, 1
Suppose -6*w - 37*w = 0. Let c(z) be the second derivative of 6*z - 8/21*z**3 + 8/7*z**2 + w + 1/21*z**4. Suppose c(k) = 0. What is k?
2
Factor -10 - 1/2*u**2 - 6*u.
-(u + 2)*(u + 10)/2
Let g(x) be the second derivative of 3*x**5/40 - 3*x**4/2 + 29*x**3/4 - 27*x**2/2 + 7*x - 14. Suppose g(m) = 0. Calculate m.
1, 2, 9
Let l(z) = 37*z**2 + 256*z + 70. Let q(o) = -2*o**2 - o. Suppose -3*i + 4 = -7*i. Let w(g) = i*q(g) - l(g). Let w(t) = 0. Calculate t.
-7, -2/7
Let k(u) be the third derivative of u**6/80 - 7*u**5/40 + u**4/4 + 3*u**3 - 211*u**2. Find x, given that k(x) = 0.
-1, 2, 6
Let i(g) be the first derivative of -g**3 + 9*g**2 + 48*g - 49. Determine r, given that i(r) = 0.
-2, 8
Let 3*f**3 + 18 - 48 - 21*f**2 - 39*f + 30 + 15*f = 0. What is f?
-1, 0, 8
Let f = 19 + -29. Let y = f - -10. Factor y + 0*s + 1/3*s**2.
s**2/3
Let o(l) be the first derivative of -l**4/5 + 52*l**3/15 - 14*l**2 - 196*l/5 + 479. Factor o(m).
-4*(m - 7)**2*(m + 1)/5
Suppose -8*z - 3 = -9*z. Let l be (z - 36/16)/(1 - -2). Factor -l*g**5 - 3/4*g**4 - 1/2*g**3 + 1/4 + 1/2*g**2 + 3/4*g.
-(g - 1)*(g + 1)**4/4
Let u(p) be the third derivative of -1/5*p**5 + 0 + 2/105*p**7 + 1/15*p**6 - 18*p**2 - 4/3*p**4 + 0*p - 8/3*p**3. Factor u(j).
4*(j - 2)*(j + 1)**2*(j + 2)
Let w be 6 - (7 + -3)*1. Let t(n) be the second derivative of -1/28*n**7 + 0 + 5*n - 9/40*n**5 + 0*n**w + 0*n**3 - 1/4*n**6 + 9/8*n**4. What is d in t(d) = 0?
-3, 0, 1
Let g = -1 + 3. Let u be ((-1)/6)/((-2152)/(-144) + -15). Solve 1/4 + 0*m**g + 1/2*m**u - 1/4*m**4 - 1/2*m = 0.
-1, 1
Let w(x) be the second derivative of 0 - 3*x + 1/70*x**6 - 3/14*x**2 + 0*x**4 - 3/70*x**5 + 1/7*x**3. Find z such that w(z) = 0.
-1, 1
Let h(i) be the third derivative of -i**8/1680 + i**7/840 + 7*i**3/6 - 12*i**2. Let c(w) be the first derivative of h(w). What is b in c(b) = 0?
0, 1
Factor -152*i**2 + 2/3*i**3 + 11552*i - 877952/3.
2*(i - 76)**3/3
Suppose -g = 216 - 218. Let x(d) be the first derivative of -4/3*d**2 - 343/15*d**5 + 0*d - 49/2*d**4 - 28/3*d**3 + g. What is z in x(z) = 0?
-2/7, 0
Suppose -65*f + 66*f = -3*j + 4, 4 = 5*j + f. Let 4/3*l**2 + j - 2*l + 2/3*l**3 = 0. Calculate l.
-3, 0, 1
Let d(x) = 2*x**4 + 20*x**3 + 108*x**2 + 190*x + 94. Let u(o) = -o**3 - o**2 - 1. Let p(w) = -d(w) + 6*u(w). Let p(y) = 0. What is y?
-5, -2, -1
Let z(j) be the second derivative of -j**5/20 - j**4/12 + 5*j**3 - 304*j. Determine u, given that z(u) = 0.
-6, 0, 5
Let h(y) be the second derivative of 1/10*y**5 + 0 + 2*y - 1/45*y**6 - 4/9*y**3 + 0*y**2 + 0*y**4. Solve h(b) = 0 for b.
-1, 0, 2
Suppose -5*m + 11 = -o - 7, 0 = -2*m - 2*o. Suppose g = -2*i - 1 + 9, -3*g - m*i = -12. Factor 3/4*y + 3/4*y**2 + g.
3*y*(y + 1)/4
Let c(s) be the second derivative of -200*s**3 + 0 + 10*s**4 - 1/5*s**5 + 2000*s**2 - 36*s. Let c(k) = 0. Calculate k.
10
Let f(t) be the first derivative of t**5/5 + 39*t**4/8 + 122*t**3/3 + 111*t**2 - 144*t + 189. Find a, given that f(a) = 0.
-8, -6, 1/2
Factor -29/2*k**2 - 5/2*k**3 - 25*k - 12.
-(k + 2)*(k + 3)*(5*k + 4)/2
Let f = -1084 - -1089. Let j(x) be the second derivative of 0*x**2 + 0 - 1/9*x**4 - 1/63*x**7 + 1/10*x**5 + f*x + 0*x**6 + 0*x**3. Factor j(q).
-2*q**2*(q - 1)**2*(q + 2)/3
Let o(q) be the second derivative of -q**3/6 + q**2/2 - 4*q. Let j be o(-7). Factor g**2 + 9 - 2*g**2 - j - g + g**3.
(g - 1)**2*(g + 1)
Determine u so that -2*u**4 + 12 - 8*u**3 + 158*u - 130*u + 6*u**2 - 2 + 9 - 3 = 0.
-4, -1, 2
Let v be 6/(-69) - 2340/(-3105). Determine b so that 8/3*b**2 + 0*b + 0*b**3 - v*b**4 + 0 = 0.
-2, 0, 2
Let h be (16/15)/((-12)/(-30)). Let -26/3*g**2 - 34/3*g**4 - h*g**5 - 4/3*g + 0 - 16*g**3 = 0. Calculate g.
-2, -1, -1/4, 0
Let k be (2 + -23)/(1 + -2). Suppose 2*u + 5 - k = 0. Solve u*n - 1 + n**3 + 16*n**2 + 2*n**4 + 9*n**3 + 1 = 0 for n.
-2, -1, 0
Let q be (-1 + -1 + 3)*8. Determine z so that 7*z**5 + 0*z**2 - z**5 + 3*z**4 - q*z**2 - 4*z**3 + 5*z**4 - 2*z = 0.
-1, -1/3, 0, 1
Let x(i) be the first derivative of i**4/16 - 5*i**3/2 + 75*i**2/2 + 28*i - 25. Let k(z) be the first derivative of x(z). Factor k(r).
3*(r - 10)**2/4
Let r(h) be the third derivative of 0 - 3*h**2 + 0*h + 1/15*h**5 - 1/60*h**6 + 0*h**3 + 0*h**4. Determine y, given that r(y) = 0.
0, 2
Suppose 366*c - 371*c = 0. Suppose -3*d + c*d = 4*s - 16, -4*d - 4 = -s. Factor 0 - 1/3*v**2 - v**4 - v**3 + d*v - 1/3*v**5.
-v**2*(v + 1)**3/3
Determine p, given that 137 + 352 - 4*p**2 - 121 - 176*p = 0.
-46, 2
Let a be 8 - ((-9)/36)/((-6)/39)*4. Let a*l**3 + 0 - 2*l + l**2 - 1/4*l**4 - 1/4*l**5 = 0. Calculate l.
-2, 0, 1, 2
Let a = 1828 + -18279/10. Let i(k) be the third derivative of -6*k**2 - a*k**6 - 1/3*k**5 + 0*k + 2/3*k**4 + 8/3*k**3 + 0. Factor i(r).
-4*(r - 1)*(r + 2)*(3*r + 2)
Determine o so that 24/7*o + 2/7*o**2 + 10 = 0.
-7, -5
Suppose 5*o - 2*n = 35, 3*n - 29 = -4*o - 1. Let k(b) be the first derivative of 0*b**2 - o + 0*b + 0*b**3 + 1/12*b**4. What is s in k(s) = 0?
0
Suppose 35 = 5*t + 3*z, 0*t + 4*z = 2*t + 12. Factor -7*p**t + 5*p**4 - 10*p - 16*p**2 - 10*p**3 + 2*p.
-2*p*(p + 1)*(p + 2)**2
Let u(r) be the first derivative of -2*r**3/7 + 2*r**2/7 + 2*r/7 + 67. Determine o, given that u(o) = 0.
-1/3, 1
Let v = -77563/3 + 25856. Find q, given that 1/3*q**4 - 4/3*q**3 + v*q**2 + 0 - 2/3*q = 0.
0, 1, 2
Let p(c) be the first derivative of -4*c**5/5 - 9*c**4 - 32*c**3/3 + 138. Factor p(l).
-4*l**2*(l + 1)*(l + 8)
Suppose 8 = 5*r - 2. What is k in -7*k**4 + 20 - 14*k**2 + 20*k - 20*k**3 - k**r + 2*k**4 = 0?
-2, -1, 1
Let 32/9*s**2 + 4/9*s**3 + 0 - 4/9*s**5 - 32/9*s**4 + 0*s = 0. What is s?
-8, -1, 0, 1
Let x(v) = v**2 + 76*v + 423. Let i be x(-6). Factor -7/2*l**2 - 2*l**i - l + 1/2.
-(l + 1)**2*(4*l - 1)/2
Suppose 0 = 32*t + 21*t - 159. Factor 0*z**2 + 0*z - 4/9*z**t - 2/9*z**4 + 0.
-2*z**3*(z + 2)/9
Let u be (6 - 55/10)*(-3 - -3). Let b(a) be the second derivative of -1/20*a**5 + u + 1/6*a**3 + 1/2*a**2 + 4*a - 1/12*a**4. Solve b(f) = 0 for f.
-1, 1
Let z(m) be the first derivative of 15*m**5 - 15*m**4 - 896*m**3 + 1080*m**2 - 432*m + 378. Determine f so that z(f) = 0.
-6, 2/5, 6
Let o be -6 + (-17)/4 + 11. Factor -1/2 - 5/4*f - o*f**2.
-(f + 1)*(3*f + 2)/4
Let h(y) = -7*y**5 - 3*y**4 - 9*y**3 + 13*y**2 + 6*y - 5. Let k(z) = -3*z**5 - 2*z**4 - 4*z**3 + 6*z**2 + 3*z - 2. Let m(o) = 4*h(o) - 10*k(o). Factor m(a).
2*a*(a - 1)*(a + 1)**2*(a + 3)
Let l(f) be the second derivative of f**6/210 - 3*f**5/70 + 2*f**4/21 - 246*f. Determine k so that l(k) = 0.
0, 2, 4
Let m(l) be the first deriva