*4 - 3*y**5 + y**5 = 0 for y.
0, 1
Let z(l) = 9*l**4 + 72*l**3 + 125*l**2 + 54*l - 8. Let j(h) = 3*h**4 + 24*h**3 + 42*h**2 + 18*h - 3. Let i(n) = -8*j(n) + 3*z(n). Let i(k) = 0. What is k?
-6, -1, 0
Let i be 13/(((-7)/10)/(-7)). Factor -i*k + 0*k**2 - 845 - 10*k**2 + 4*k**2 + k**2.
-5*(k + 13)**2
Let q(d) = d**3 + 3*d**2 - 30*d - 10. Let m be q(-7). Let g(y) be the first derivative of 3*y**2 - 3 + 10/3*y**3 - m*y. Find n, given that g(n) = 0.
-1, 2/5
Let a = 2269 - 2265. Factor -4/3*f**3 + 4/3*f**2 + 2/3*f**5 - 2/3*f**a + 2/3*f - 2/3.
2*(f - 1)**3*(f + 1)**2/3
Let a(m) be the second derivative of m**6/225 + m**5/75 - m**4/6 + 430*m. Suppose a(p) = 0. What is p?
-5, 0, 3
Let w(f) be the third derivative of f**5/15 - 6*f**4 + 136*f**3/3 - 114*f**2 + 2. Factor w(d).
4*(d - 34)*(d - 2)
Let s(d) be the second derivative of -8*d**7/21 + 1184*d**6/15 - 29401*d**5/5 + 499555*d**4/3 - 955598*d**3/3 + 235298*d**2 + 54*d + 1. Factor s(t).
-4*(t - 49)**3*(2*t - 1)**2
Suppose -5*a + 13*a - 560 = 0. Let k be (-4)/((-64)/a) - (-6)/(-16). Let 7/6*d**2 + 5/2*d**k - 37/6*d**3 + 13/6*d + 1/3 = 0. Calculate d.
-1/3, -1/5, 1, 2
Suppose -84 = -9*v + 96. Suppose u + 4*w - v = 0, u + 3*u + 4*w - 20 = 0. Factor -4/7*c**4 + 8/7*c**3 - 4/7*c**2 + 0*c + u.
-4*c**2*(c - 1)**2/7
Suppose -5*f + 5*c + 30 = 0, 5*f + 3*c + 10 = 6*f. Let m be (-3)/2*f/(-10). Let 2/5*h**2 + 0*h**4 - m*h - 2/5 - 1/5*h**5 + 4/5*h**3 = 0. What is h?
-1, 1, 2
Let z = -71 + 74. Let y = 274/245 + 4/49. Determine i so that -y*i - 51/5*i**2 - 129/5*i**z + 0 - 84/5*i**4 = 0.
-1, -2/7, -1/4, 0
Let f(k) be the second derivative of -k**6/285 + 58*k. Let f(l) = 0. What is l?
0
Let q(v) be the second derivative of 4*v**7/21 + v**6/3 + v**5/10 - 63*v. Factor q(k).
2*k**3*(k + 1)*(4*k + 1)
Let q(u) be the first derivative of u**8/240 + u**7/70 - u**6/90 - 8*u**3/3 + 17. Let z(b) be the third derivative of q(b). Suppose z(g) = 0. Calculate g.
-2, 0, 2/7
Let b(f) be the third derivative of 3/200*f**6 + 12*f**2 + 0*f**3 + 0 + 0*f - 1/350*f**7 + 1/40*f**4 - 3/100*f**5. What is n in b(n) = 0?
0, 1
Let t(c) = 2*c**3 - 7*c**2 - 6*c. Let k be t(6). Suppose -k*r**2 + 38 - 62 - 94*r - 40*r**3 - 4*r**4 - 84 - 122*r = 0. Calculate r.
-3, -1
Let b = -15/2 + 31/4. Let r = 129 + -515/4. Suppose -1/2 - b*d + r*d**2 = 0. Calculate d.
-1, 2
Suppose -24*l**4 - 9*l**5 - 15*l**2 + 25*l**3 - 22*l + 2*l + 4*l**5 + 39*l**4 + 0*l**5 = 0. Calculate l.
-1, 0, 1, 4
Let f be 5/10 + ((-28)/(-8))/1. Suppose 0 = -2*t + g + 6, -f*g = -2*t + t + 10. Factor -1/2*h**t + 1 - 1/2*h.
-(h - 1)*(h + 2)/2
Let s(g) be the third derivative of 2*g**7/315 - 163*g**6/360 + 119*g**5/180 + 5*g**4/9 + 931*g**2. Factor s(z).
z*(z - 40)*(z - 1)*(4*z + 1)/3
Let f(g) be the first derivative of 1/6*g**3 + 1/8*g**4 + 1/240*g**6 + 3/80*g**5 + 0*g**2 - 4*g - 1. Let q(k) be the first derivative of f(k). Factor q(r).
r*(r + 2)**3/8
Determine n, given that -3*n**5 - 59*n**3 - 13*n**4 + 47*n**3 + 28*n**4 = 0.
0, 1, 4
Let k(n) be the third derivative of n**8/462 + 12*n**7/385 + 39*n**6/220 + 89*n**5/165 + 43*n**4/44 + 12*n**3/11 + 112*n**2. Determine i, given that k(i) = 0.
-4, -3/2, -1
Let o be -4*-6*(-12)/(-432). Factor -o*g + 0 - 4/3*g**2 - 2/3*g**3.
-2*g*(g + 1)**2/3
Let p(u) be the third derivative of u**8/168 + 2*u**7/35 + u**6/5 + u**5/3 + u**4/4 + 212*u**2. Let p(j) = 0. What is j?
-3, -1, 0
Suppose 4*k + 32 = 8*k. Let 30*h**2 - 5 + k*h - 32*h**2 - 3 = 0. Calculate h.
2
Factor 6/5*j**2 - 8/5 - 2/5*j**4 + 8/5*j - 4/5*j**3.
-2*(j - 1)**2*(j + 2)**2/5
Let o(z) be the first derivative of 250*z + 6 + 75*z**2 + 10*z**3 + 1/2*z**4. Let o(m) = 0. Calculate m.
-5
Let y(b) be the second derivative of b**7/462 - b**6/66 + b**5/22 - 5*b**4/66 + 5*b**3/66 - b**2/22 - b + 61. What is f in y(f) = 0?
1
Let m(t) be the third derivative of -2*t**7/315 - 2*t**6/45 + 37*t**5/45 - 34*t**4/9 + 8*t**3 + 57*t**2. Let m(x) = 0. What is x?
-9, 1, 2
Let s(h) be the third derivative of -2/3*h**3 - 1/21*h**5 - 13/42*h**4 - 18*h**2 + 0 + 0*h + 1/210*h**6. Let s(y) = 0. Calculate y.
-1, 7
Suppose -76*v + v + 178 + 47 = 0. Solve 9/5*d + 0 + 6/5*d**2 - 3/5*d**v = 0.
-1, 0, 3
Let y(r) = -30*r**3 - 155*r**2 + 1530*r + 945. Let b(x) = -3*x**3 - 14*x**2 + 139*x + 86. Let q(z) = 45*b(z) - 4*y(z). Determine j so that q(j) = 0.
-3, -2/3, 3
Let f(b) = -3*b**5 - 2*b**4 + 6*b**2 - b - 2. Let q(w) = 3*w**5 + w**4 + w**3 - 7*w**2 + 2*w + 3. Let x(n) = -6*f(n) - 4*q(n). What is y in x(y) = 0?
-1, -1/3, 0, 1
Let p(w) be the first derivative of -25*w**4/34 - 80*w**3/51 + 19*w**2/17 - 4*w/17 - 372. Factor p(g).
-2*(g + 2)*(5*g - 1)**2/17
Let r be ((-21)/1)/(((-6)/2)/9). Let x = 65 - r. Solve 1/4*w**3 + 9/4*w + 0 + 3/2*w**x = 0.
-3, 0
Suppose 0 = 5*p + 43 - 148. Factor -25*n - 3*n**3 - 159 - 20*n + 132 - p*n**2.
-3*(n + 1)*(n + 3)**2
Suppose 0 = 4*q + 4*o - o + 19423, 4*q + 5*o = -19433. Let s = -14300/3 - q. Solve 54*t**4 - 192*t**3 + 32/3 + 368/3*t**2 + s*t = 0 for t.
-2/9, 2
Let h(r) be the third derivative of -r**7/420 + 7*r**6/240 - 17*r**5/120 + 17*r**4/48 - r**3/2 - 203*r**2. Factor h(z).
-(z - 3)*(z - 2)*(z - 1)**2/2
Let c = 19183 + -19183. Factor 0*z + 1/2*z**5 - z**4 + z**2 + c - 1/2*z**3.
z**2*(z - 2)*(z - 1)*(z + 1)/2
Let i(g) be the third derivative of -1/72*g**6 + 0*g - 6*g**2 + 0 + 1/630*g**7 + 5/72*g**4 - 2/9*g**3 + 1/60*g**5. Factor i(z).
(z - 4)*(z - 1)**2*(z + 1)/3
Let j(q) be the third derivative of -q**5/60 - 3*q**4/4 - 65*q**3/6 + 64*q**2. Let b be j(-13). Find l such that b*l - 2/11*l**2 + 8/11 = 0.
-2, 2
Factor -544/5*o + 2/5*o**2 + 36992/5.
2*(o - 136)**2/5
Let k(y) be the second derivative of y**6/70 + 3*y**5/70 - y**3/7 - 3*y**2/14 + 4*y - 19. Determine u so that k(u) = 0.
-1, 1
Let b be (-121)/(-33) - 5/3. Let m(t) be the second derivative of -1/5*t**3 + 9/10*t**b - 3*t + 0 - 1/20*t**4. Determine c so that m(c) = 0.
-3, 1
Let z(x) = 3*x**2 - 3*x - 4. Let i(u) = 2*u + 2*u**2 + 3 + u**2 - 5*u**2. Let n(j) = -4*i(j) - 3*z(j). Suppose n(w) = 0. What is w?
0, 1
Factor -1/2 + 0*n**2 + 1/4*n**3 - 3/4*n.
(n - 2)*(n + 1)**2/4
Let u = -4/5397 - -64808/59367. Factor 6/11 - 6/11*p**5 - 18/11*p**4 - u*p**3 + 18/11*p + 12/11*p**2.
-6*(p - 1)*(p + 1)**4/11
Let g = 1/604 - -1173/21140. Let u(r) be the first derivative of 2/7*r**3 + 4 + 0*r + 1/7*r**2 + 3/14*r**4 + g*r**5. Factor u(h).
2*h*(h + 1)**3/7
Let z be (-10)/(4 - -1) - -4. Let -10*y**3 - 3 + 2*y**5 - y**5 - 20*y**z - 15*y - 1 = 0. Calculate y.
-1, 4
Let a(x) be the second derivative of x**5/50 - x**4/6 + 4*x**3/15 - 19*x. Factor a(q).
2*q*(q - 4)*(q - 1)/5
Suppose -2*i - u - 8 + 13 = 0, i = -5*u + 7. Let -8/7*x + 16/7 - 4/7*x**i + 2/7*x**3 = 0. What is x?
-2, 2
Let j(p) be the second derivative of p**5/4 - 55*p**4/12 + 65*p**3/2 - 225*p**2/2 + 117*p + 1. Factor j(u).
5*(u - 5)*(u - 3)**2
Let p be ((-20)/(-40))/(-4 - (-4)/(48/63)). Find h, given that -6/5 + p*h**2 - 4/5*h = 0.
-1, 3
Let b(z) be the third derivative of -1/216*z**4 - 11*z**2 + 0 + 0*z + 0*z**3 + 1/540*z**5. Determine a, given that b(a) = 0.
0, 1
Let f(g) = -2*g**2 + 59*g + 162. Let v be f(32). Let h = 0 + 3. Find s, given that 0 + 0*s**v - 1/5*s + 1/5*s**h = 0.
-1, 0, 1
Let c(s) be the third derivative of -s**6/320 - s**5/160 + 5*s**4/32 - s**3/2 - 53*s**2 + 1. Solve c(p) = 0.
-4, 1, 2
Solve 0 + 2/9*z**5 - 4/9*z - 10/9*z**2 - 2/3*z**3 + 2/9*z**4 = 0 for z.
-1, 0, 2
Suppose 20 = 3*w - 4*d, 0 = -3*w + 2*w - 2*d + 20. Suppose 2*m + 5*z = w + 13, -3*m = -2*z + 10. Factor -4*k**2 + 5*k**3 + m*k - k**3 - 2 - 4*k + 6.
4*(k - 1)**2*(k + 1)
Let x be -168 - -154 - (-416)/28. Determine l, given that x + 66/7*l - 216/7*l**3 + 144/7*l**2 = 0.
-1/6, 1
Let n(s) be the first derivative of -686/5*s + 147/5*s**2 + 1/10*s**4 - 30 - 14/5*s**3. Find q such that n(q) = 0.
7
Find j, given that -3*j**2 + j**3 + 101 - 3*j**2 + 104 + j**4 - 205 = 0.
-3, 0, 2
Let w = -32203/68 - -762/17. Let i = 431 + w. Find q such that -3/4*q + 5/4*q**2 - 1/4*q**3 - i = 0.
-1, 3
Factor -12 + 40/3*d - 4/3*d**2.
-4*(d - 9)*(d - 1)/3
Let t = -31723 - -31725. Find q such that -2/3 - 1/3*q**3 + 1/3*q + 2/3*q**t = 0.
-1, 1, 2
Let x(z) be the first derivative of z**4/18 + z**3/3 + 2*z**2/3 - 13*z + 22. Let v(r) be the first derivative of x(r). Suppose v(p) = 0. Calculate p.
-2, -1
Let t = -36 - -38. Factor -16*g - 1 + 16*g