60 - y**4/18 + 11*y + 6. Let u(x) be the first derivative of k(x). Let u(f) = 0. Calculate f.
0, 2
Factor -55/2*i**2 + 15/2*i**3 + 15/2 + 25/2*i.
5*(i - 3)*(i - 1)*(3*i + 1)/2
Let v = 6 - 6. Suppose 9*d - 4*d = j + 8, v = 3*d - j - 4. Factor 3*o**3 - 14*o - d + 26*o - 12*o**2 + 2.
3*o*(o - 2)**2
Let v(s) = -2*s**3 + s - 6. Let f be v(-3). Let u be (-2)/(-3)*(-10)/f*-3. Let 2/9*m**2 + 2/9 - u*m = 0. What is m?
1
Let j be (136/(-6))/(-4) - -3*(-35)/21. What is c in 1/3*c**4 + j*c**3 + 0*c + 0*c**2 + 0 = 0?
-2, 0
Let a(t) be the second derivative of -1/14*t**4 + 1/70*t**5 + 1/7*t**3 - 1/7*t**2 + 0 - 17*t. Determine b so that a(b) = 0.
1
Let j = 6 - 10. Let t(n) = -n**5 - n**4 - 1. Let w(z) = 2*z**5 + 2*z**4 + 6*z**3 + 2*z**2 - 4*z + 4. Let k(r) = j*t(r) - w(r). Factor k(i).
2*i*(i - 1)**2*(i + 1)*(i + 2)
Let h(a) be the second derivative of a**7/210 + 7*a**2/2 + 23*a. Let q(x) be the first derivative of h(x). Factor q(c).
c**4
What is h in 0 + 16*h + 8 + 940*h**2 - 292*h + 324*h**2 + 896*h**2 + 3888*h**3 = 0?
-2/3, 1/18
Suppose 76 = 1065*o - 1027*o. Factor 6/7*w**4 - 5/7*w + 0 - 6/7*w**o + 4/7*w**3 + 1/7*w**5.
w*(w - 1)*(w + 1)**2*(w + 5)/7
Solve 22/7*v**2 + 72/7*v + 72/7 + 2/7*v**3 = 0 for v.
-6, -3, -2
Suppose 3*r = r + 62. Suppose 5*z - 38 = -3*n, r - 7 = 2*n + 2*z. Determine y, given that y**3 - 8*y**5 + n*y**5 - 4*y**3 = 0.
-1, 0, 1
Let q be 3 - (-6)/(-48)*22. Let k(t) be the third derivative of -q*t**4 - 4*t**2 + 0 + 0*t**3 + 1/20*t**5 + 0*t. Factor k(x).
3*x*(x - 2)
Let q(w) be the third derivative of w**2 + 0 + 1/120*w**5 + 0*w**4 + 1/120*w**6 + 0*w**3 + 1/420*w**7 + 0*w. Determine u so that q(u) = 0.
-1, 0
Let j = -7158 + 7160. Let 0 + 24/5*x**3 - 2/5*x**4 - 96/5*x**j + 128/5*x = 0. Calculate x.
0, 4
Let x(y) be the third derivative of y**8/2520 + 2*y**7/1575 - y**6/225 - y**5/225 + y**4/60 - 541*y**2. Solve x(a) = 0 for a.
-3, -1, 0, 1
Let v(c) be the first derivative of -2*c**3/21 - 48*c**2/7 - 1152*c/7 + 239. Factor v(m).
-2*(m + 24)**2/7
Let m(g) be the second derivative of -4*g**6/3 - 25*g**5/4 - 5*g**4/4 + 80*g**3/3 + 10*g**2 - 154*g. Suppose m(u) = 0. What is u?
-2, -1/8, 1
Let r be (873/(-162) + 5)*-4*12/42. Factor 1/9*s**4 + 1/9*s**5 - s**3 + 0 - r*s + 11/9*s**2.
s*(s - 1)**3*(s + 4)/9
Let o(y) be the first derivative of y**2 - 1/6*y**3 - 2*y - 5. Factor o(r).
-(r - 2)**2/2
Let c(m) be the second derivative of 0*m**2 + 1/3*m**4 - 6*m + 4/21*m**7 + 0 - 6/5*m**5 + 4/3*m**3 + 2/15*m**6. Determine j, given that c(j) = 0.
-2, -1/2, 0, 1
Suppose -20 + 12 = -2*w. Let c(k) be the second derivative of 1/20*k**5 - 5*k + 0 + 0*k**2 + 1/6*k**w + 0*k**3. Determine f so that c(f) = 0.
-2, 0
Let g = -184/7 - -188/7. Let s be ((-65)/(-130))/((9/12)/((-15)/(-70))). Find c such that -g*c - s*c**2 - 4/7 = 0.
-2
Let w(n) = -n**3 - 3*n**2 + 1. Let m(o) = o**3 + 22*o**2 - 28*o - 2. Let r(i) = m(i) + 2*w(i). Factor r(s).
-s*(s - 14)*(s - 2)
Let r(g) = -g**3 - 15*g**2 + 2. Let p be r(-15). Let s be (p*4)/2 + (-17)/5. Factor -3/5 - s*d**2 - 6/5*d.
-3*(d + 1)**2/5
Let r be (7/((-56)/(-4)))/((-5)/(-4)). Let w(g) be the second derivative of 0*g**2 + 1/3*g**3 + 0 + 5*g + 1/10*g**6 + 7/12*g**4 + r*g**5. Solve w(c) = 0.
-1, -2/3, 0
Let h(k) be the first derivative of k**6/960 + 8*k**3/3 - 16. Let x(v) be the third derivative of h(v). Factor x(u).
3*u**2/8
Let k(x) = -4*x**2 + 30*x + 7. Let c(v) be the second derivative of -v**4/12 + 5*v**3/3 + v**2 - 23*v. Let n(h) = 7*c(h) - 2*k(h). Factor n(r).
r*(r + 10)
Let n = -3547/99 + 399/11. Factor -2/9*y**3 - 8/9*y**2 - n - 10/9*y.
-2*(y + 1)**2*(y + 2)/9
Let f(i) be the first derivative of -1/17*i**2 + 0*i**3 + 0*i - 21 + 0*i**5 - 1/51*i**6 + 1/17*i**4. Let f(d) = 0. Calculate d.
-1, 0, 1
Let s = 227/940 - -2/235. Let o(h) be the first derivative of -1/2*h + s*h**4 - 1/10*h**5 + 1/3*h**3 - 1/12*h**6 - 1/4*h**2 - 2. Factor o(n).
-(n - 1)**2*(n + 1)**3/2
Let l be 2/(-3)*(-4 - (3 + -4)). Let g(q) be the second derivative of -1/2*q**5 + l*q + 1/6*q**4 + 0 + 0*q**2 + 1/3*q**3 + 1/5*q**6. Solve g(a) = 0 for a.
-1/3, 0, 1
Let w be 6/(18/48*-1). Let h be (-15 - w) + 2*(0 + 1). What is s in 2/3*s + 0*s**2 - 49/6*s**3 + 21/2*s**5 + 0 - h*s**4 = 0?
-2/3, -1/3, 0, 2/7, 1
Let v(l) = 2*l - 17. Let p be v(10). Suppose -3*c - p*c = -5*c. Find r such that c + 0*r + 1/4*r**4 - 1/4*r**5 + 0*r**3 + 0*r**2 = 0.
0, 1
Let y(k) be the first derivative of k**6/3 - 4*k**5/5 - 3*k**4/2 + 16*k**3/3 - 4*k**2 + 228. Factor y(f).
2*f*(f - 2)*(f - 1)**2*(f + 2)
Let p(m) be the first derivative of -5/3*m**3 + 0*m + 2 + 0*m**2 - 1/120*m**4 - 1/120*m**5 - 1/450*m**6. Let k(d) be the third derivative of p(d). Factor k(n).
-(n + 1)*(4*n + 1)/5
Let l(r) = r**2 - 6*r - 3. Let y be l(7). Factor w**4 + 13*w**2 - 21*w**2 - 6*w**3 - y*w + 17*w**2.
w*(w - 4)*(w - 1)**2
Suppose -86/11*t + 84/11 + 2/11*t**2 = 0. What is t?
1, 42
Let x be 195/(-18)*21/(-35) - (7 - 1). Factor -x*r**2 + 1 - 1/2*r.
-(r - 1)*(r + 2)/2
Let y = 7508 + -52553/7. Suppose 0*c - 3/7*c**3 + y*c**2 + 0 = 0. What is c?
0, 1
Let m(i) be the third derivative of -i**6/60 - 31*i**5/10 - 705*i**4/4 + 2209*i**3/3 - 3*i**2 + 2*i. Factor m(b).
-2*(b - 1)*(b + 47)**2
Factor 2/3*h**4 - 1/3*h**2 + 0 + 5/3*h**3 - 2*h.
h*(h - 1)*(h + 2)*(2*h + 3)/3
Let r = 2960 - 2960. Factor 6/11*d**2 + 2/11*d - 8/11*d**3 + r.
-2*d*(d - 1)*(4*d + 1)/11
Find b, given that -2/9*b**4 + 0 + 16/9*b**3 - 10/9*b**2 - 100/9*b = 0.
-2, 0, 5
Let y(a) be the first derivative of 2/3*a**3 - 4*a**6 + 0*a**2 + 38/5*a**5 + 0*a - 4*a**4 + 10. What is o in y(o) = 0?
0, 1/4, 1/3, 1
Let u(z) be the second derivative of -3*z**5/10 - 37*z**4/8 - 41*z**3/4 - 6*z**2 + 969*z. Solve u(j) = 0 for j.
-8, -1, -1/4
Let n(l) be the second derivative of -l**6/15 + 119*l**5/90 - 233*l**4/54 + 145*l**3/27 - 22*l**2/9 + 282*l. Determine o, given that n(o) = 0.
2/9, 1, 11
Let l be (-8)/44 + (-46)/(-11). Factor 4*p + 627 - 627 - 8*p**2 + l*p**3.
4*p*(p - 1)**2
Let p be ((-453)/(-12) - 1)*4/6. Let k = 25 - p. Factor -k*o + 1/4*o**2 + 0.
o*(o - 2)/4
Let n be 6 + 192/(-30) - (-17)/5. Suppose 5*q - n*c = -9, c = -3*q - q + 3. What is m in q*m**2 + 0*m + 0 - 1/5*m**4 + 1/5*m**3 = 0?
0, 1
Let i be ((-134)/(-10) - 14)/(27/(-180)). Factor -3/5*n + 4/5*n**2 + 0 + 1/5*n**5 - 4/5*n**i + 2/5*n**3.
n*(n - 3)*(n - 1)**2*(n + 1)/5
Factor -11/6*s**4 + 0*s - 1/2*s**3 + 0*s**2 + 0 + 2/3*s**5.
s**3*(s - 3)*(4*s + 1)/6
Factor 1261*m - 2592 + 3*m**2 - 5*m**2 + 0*m**2 - 1117*m.
-2*(m - 36)**2
Let c(v) be the third derivative of -v**9/80640 + v**8/5376 - v**7/960 + v**6/320 - v**5/60 + 2*v**2. Let b(a) be the third derivative of c(a). Factor b(r).
-3*(r - 3)*(r - 1)**2/4
Let o(w) be the third derivative of -w**5/360 + w**4/18 + 5*w**3/9 - w**2 - 1. Factor o(f).
-(f - 10)*(f + 2)/6
Find r such that 186*r**2 + 30*r + 30 - 86*r**2 - 5 - 95*r**2 = 0.
-5, -1
Let i(a) = -2*a**3 + 18*a**2 + 68*a - 40. Let t(o) = o**3 - o**2 + 1. Let k(n) = -i(n) + 8*t(n). Let k(h) = 0. Calculate h.
-2, 3/5, 4
Let q(k) be the first derivative of -4*k - 9/4*k**2 + 1/10*k**5 + 7/6*k**3 + 60 + 9/8*k**4. Let q(d) = 0. Calculate d.
-8, -1, 1
Let y(w) be the third derivative of 0*w**5 + 0*w + 0 - 11*w**2 + 0*w**3 + 0*w**4 - 1/80*w**6. Determine u, given that y(u) = 0.
0
Let a be (-15)/(-6) - -1*4/8. Let i(m) be the first derivative of -5 + 1/4*m**4 - 1/2*m**2 - 1/3*m**a + m. Factor i(v).
(v - 1)**2*(v + 1)
Factor -16/3 - 14/3*d**2 + 20*d.
-2*(d - 4)*(7*d - 2)/3
Let o(d) = -2*d**3 - 22*d**2 - 29*d. Let y(v) = -v**3 + v**2 - v. Let h(q) = -o(q) - y(q). Find w, given that h(w) = 0.
-5, -2, 0
Let i(f) = 2*f**3 + 2*f**2 + 4*f + 10. Let z(o) = -4*o**3 - 3*o**2 - 9*o - 25. Let t(h) = 10*i(h) + 4*z(h). What is k in t(k) = 0?
-1, 0
Let z(t) = 3*t - 21. Let m be z(8). Suppose 8*q - m*q + 5*d = 10, -3*d = 5*q - 14. Find f, given that -2/3*f**2 + 0 + 2/3*f**q + 2/3*f**3 + 0*f - 2/3*f**5 = 0.
-1, 0, 1
Let f(l) = -3*l**3 + 61*l**2 + 1591*l + 12163. Let k(u) = 2*u**3 - 63*u**2 - 1590*u - 12164. Let j(p) = -3*f(p) - 4*k(p). Solve j(v) = 0 for v.
-23
Let f = -332 + 332. Let y(g) be the second derivative of -1/30*g**5 - 1/9*g**4 + 4/9*g**3 + 8/3*g**2 - 4*g + f. Factor y(d).
-2*(d - 2)*(d + 2)**2/3
Let n be (102/4)/17*6/(-81)*-12. Find o, given that -2/3*o - 8/3*o**2 + 4/3 + n*o**3 - 2/3*o**5 + 4/3*o**4 = 0.
-1, 1, 2
Let 