*c + 12 - 30 = 0. Let -o**3 + 15*o - 3*o**2 - 5*o**3 + 0*o**2 + 3*o**3 - c = 0. Calculate o.
-3, 1
Suppose -f = -3*m + 3*f + 378, -2*m + 4*f + 248 = 0. Let p be m/104*2/5. Factor 4*x - p*x**2 - 8.
-(x - 4)**2/2
Let t = -31 - -23. Let w be (9 + -1)/(10 + t). Factor 33*a - 360*a**4 + 23*a**2 + 3*a - 200*a**3 + 7*a**2 + 110*a**w.
-2*a*(5*a - 2)*(5*a + 3)**2
Let o(y) be the third derivative of -28*y**2 + 1/126*y**5 + 0*y**3 + 1/126*y**4 - 1/1260*y**6 - 2/735*y**7 + 0*y + 0. Let o(g) = 0. Calculate g.
-2/3, -1/2, 0, 1
Let d(t) be the second derivative of -t**6/120 + 7*t**5/40 - 19*t**4/16 + 3*t**3/2 + 27*t**2/2 - 10*t. Suppose d(f) = 0. What is f?
-1, 3, 6
Suppose 3*w + 2 = 71. Suppose -w*u = -21*u - 4. Find d, given that 2/5*d**3 + 2/5*d**u - 2/5*d**4 - 2/5*d + 0 = 0.
-1, 0, 1
Let 3/2*y**2 + 0 + 37/8*y**4 + 7/8*y**5 + 0*y + 13/2*y**3 = 0. Calculate y.
-3, -2, -2/7, 0
Let f = -62 + 3721/60. Let y(o) be the third derivative of 1/6*o**3 + 7*o**2 - 1/30*o**6 + 0*o + 0 - f*o**5 + 1/6*o**4. Factor y(t).
-(t - 1)*(t + 1)*(4*t + 1)
Let k(n) be the third derivative of 3/70*n**7 + 4*n**2 + 1/20*n**6 - 3/8*n**4 - 1/2*n**3 + 0*n + 0 + 1/112*n**8 - 1/10*n**5. Determine p, given that k(p) = 0.
-1, 1
Let k(t) be the first derivative of t**4/54 - 7*t**3/54 + t**2/6 + 10*t + 17. Let o(n) be the first derivative of k(n). Let o(q) = 0. What is q?
1/2, 3
Let r(b) = -b**4 - b**3 + b. Let v(q) = -4*q**4 - 26*q**3 + q**2 + 26*q. Let w(g) = 3*r(g) - v(g). Factor w(j).
j*(j - 1)*(j + 1)*(j + 23)
Let d(z) = -z**3 - 7*z**2 + 2*z + 16. Let l be d(-7). Let f = 1020 + -9164/9. Suppose -f*s**l + 4/9 - 2/9*s - 10/9*s**3 = 0. Calculate s.
-1, 2/5
Let r = -74 - -76. Let q(a) be the first derivative of 3/2*a**r - 3*a**4 - 3*a**3 - 3 + 0*a. What is v in q(v) = 0?
-1, 0, 1/4
Let b be 1/((-10)/25)*-6. Suppose b*f + 44*f**2 - 7*f - f + f = 0. What is f?
-2/11, 0
Let k(q) = -15*q**3 - 2*q**2 - 2*q - 1. Let n be k(-1). Let t(g) = -g**2 + 16*g - 24. Let x be t(n). Factor 1/2*p**2 - 1/4 - 1/4*p**x + 0*p + 0*p**3.
-(p - 1)**2*(p + 1)**2/4
Suppose 0 = 12*y - 3*y - 45. Factor -8*q**3 - 4*q**3 - 5*q**y + 4*q**2 - 6*q**4 + q**5 + 18*q**4.
-4*q**2*(q - 1)**3
Let d(s) = -s**2 - 16*s - 14. Let h be d(-14). Let z(r) = -r**2 + 8*r - 7. Let p be z(5). What is x in x - 17*x**2 + h*x**2 + p*x = 0?
0, 3
Let n(x) be the third derivative of -x**8/2688 - x**7/168 - x**6/40 - 11*x**5/240 - 7*x**4/192 - 2*x**2 + 49*x. Factor n(s).
-s*(s + 1)**3*(s + 7)/8
Let h(d) be the third derivative of d**7/8820 - d**6/3780 - d**5/252 - d**4/84 + 4*d**3/3 + 5*d**2. Let r(i) be the first derivative of h(i). Factor r(s).
2*(s - 3)*(s + 1)**2/21
Let r(s) be the first derivative of 5*s - 5/3*s**3 + 0*s**2 - 3. Determine f, given that r(f) = 0.
-1, 1
Let h(d) be the third derivative of -d**7/315 + 5*d**6/144 + 3*d**5/20 + 17*d**4/144 - 2*d**3/9 + 383*d**2. Suppose h(q) = 0. Calculate q.
-1, 1/4, 8
Suppose -10*r**2 + 57 + 56 + 647*r - 41 - 533*r = 0. What is r?
-3/5, 12
Let s(g) be the third derivative of g**7/280 - g**6/120 - g**5/20 - 19*g**3/6 + 26*g**2. Let i(f) be the first derivative of s(f). Factor i(z).
3*z*(z - 2)*(z + 1)
Let p(r) be the third derivative of r**6/1200 - 37*r**5/600 + 17*r**4/120 + 6*r**3/5 - 107*r**2 + 1. Factor p(q).
(q - 36)*(q - 2)*(q + 1)/10
Let v(f) be the second derivative of -f**6/216 - f**5/18 - 5*f**4/24 + 13*f**3/6 - f. Let s(b) be the second derivative of v(b). Determine j so that s(j) = 0.
-3, -1
Let 48/11*y + 0 - 2/11*y**5 - 36/11*y**3 - 8/11*y**2 + 18/11*y**4 = 0. Calculate y.
-1, 0, 2, 6
Let g = -29 + 20. Let h be g/(-27) + 28/6. Find z such that -6*z**4 + 3*z**5 - 2*z**2 - z**3 - z**h + 7*z**3 = 0.
0, 1
Let x be 36/4 - (-1 - -5). Suppose 5*p + z - 6 = 6, -2*z = x*p - 14. Factor 18*s**3 + p*s**2 + 2 + 0*s - 10*s + 4*s**2.
2*(s + 1)*(3*s - 1)**2
Let k(i) be the second derivative of 0*i**2 + 1/98*i**7 - 1/28*i**4 + 2*i - 3/140*i**5 + 0*i**3 + 0 + 1/70*i**6. Solve k(f) = 0 for f.
-1, 0, 1
Solve -3/2*b**4 + 1/2*b + 1/2*b**5 - b**3 + 3*b**2 - 3/2 = 0 for b.
-1, 1, 3
Suppose -5*f = 2*y - 3*y - 11, -1 = y. Solve -3*x**2 - x + x**5 - 2*x**5 + x**2 + f*x**3 + 2*x**4 - 2*x**2 + 2 = 0 for x.
-1, 1, 2
Let j(r) be the second derivative of -r**6/195 + r**4/78 - 21*r. Factor j(d).
-2*d**2*(d - 1)*(d + 1)/13
Determine h, given that 11/3*h - 5/3*h**3 + 4/3 + 7/6*h**2 = 0.
-4/5, -1/2, 2
Factor 3/2*a**2 + 0 - 15*a.
3*a*(a - 10)/2
Let i(j) = -2*j**2 + 30*j + 72. Let b(p) = 8*p**2 - 121*p - 289. Let a(q) = 4*b(q) + 15*i(q). Factor a(u).
2*(u - 19)*(u + 2)
Suppose 2*s - 23 - 11 = 0. Let c = s + -11. Factor c*u + 21*u**3 - 9*u**3 - 6*u**3 - 15*u**3 + 3*u**2.
-3*u*(u - 1)*(3*u + 2)
Let s(y) be the second derivative of -9/10*y**2 + y**3 - 9*y - 5/12*y**4 + 0. Factor s(f).
-(5*f - 3)**2/5
Suppose 30 + 3/2*z**2 - 24*z + 3/2*z**3 = 0. Calculate z.
-5, 2
Determine b so that -128/3*b + 64/3 - 44/3*b**2 + 106/3*b**3 + 4/3*b**5 - 38/3*b**4 = 0.
-1, 1/2, 2, 4
Suppose 0*u - u - 3 = 0. Let m be 5 - (3 + 9/u)*1. Suppose 4*r**3 - 8/5 - 18/5*r**4 - 8/5*r**m - 24/5*r + 38/5*r**2 = 0. What is r?
-2, -1/4, 1
Let m(p) be the second derivative of p**6/40 - p**5/6 + p**4/24 + p**3 - 13*p**2/2 - 12*p. Let k(q) be the first derivative of m(q). Factor k(u).
(u - 3)*(u - 1)*(3*u + 2)
Let k(p) be the third derivative of p**6/780 - 68*p**5/195 - p**2 - 272. Find v, given that k(v) = 0.
0, 136
Factor 5*i**2 + 3*i**2 - 47 + 11 - i**2 + 3*i - 4*i**2.
3*(i - 3)*(i + 4)
Let b = 299 - 299. Let u(f) be the first derivative of -2/15*f**3 - 3 + b*f - 1/5*f**2. Let u(a) = 0. Calculate a.
-1, 0
Let j = 38 - 39. Let i = 3 + j. Factor -16/15*u + 2/5*u**i + 6/5*u**3 - 8/15.
2*(u - 1)*(3*u + 2)**2/15
Let k(u) = -u**2 - 4*u + 1. Let d(i) = -8*i**2 - 2*i + 7. Let a(c) = -2*d(c) + 14*k(c). Factor a(x).
2*x*(x - 26)
Let m(f) be the third derivative of -f**5/60 - 5*f**4/6 - 17*f**3/3 + 23*f**2. Let w be m(-18). Factor 0 + n + 1/3*n**w.
n*(n + 3)/3
Suppose -4*h = -0*c + 5*c - 195, 3*c = -h + 110. Let d be c/(-14) + (-6)/(-2). Let 1/2*r + 0 - r**2 + d*r**3 = 0. Calculate r.
0, 1
Let v be 61*(-4 + (-25)/(-5)). Let b = v + -365/6. Let 1/6*a**4 + b*a**2 + 0 + 0*a - 1/3*a**3 = 0. What is a?
0, 1
Let g be 6/8 - (6 - 2521/480). Let k(y) be the third derivative of g*y**6 + 1/240*y**5 + 0*y - 1/24*y**3 + 0 - 3*y**2 - 1/96*y**4. Factor k(l).
(l - 1)*(l + 1)**2/4
Let a(k) be the third derivative of k**5/60 + 23*k**4/24 + 11*k**3/3 - 121*k**2. Solve a(u) = 0 for u.
-22, -1
Factor -2 - 166*q + 123*q - 91*q**2 - 17*q**2 - 2.
-(4*q + 1)*(27*q + 4)
Let n(j) be the first derivative of -j**6/48 - 9*j**5/40 - j**4 - 7*j**3/3 - 3*j**2 - 2*j - 187. Find r such that n(r) = 0.
-2, -1
Let c(q) be the third derivative of 1/660*q**6 + 2/1155*q**7 - 1/132*q**4 + 23*q**2 + 0*q**3 + 0 + 0*q - 1/165*q**5. Let c(z) = 0. What is z?
-1, -1/2, 0, 1
Let w(v) be the third derivative of -v**5/80 + 7*v**4/16 + 30*v**2. Factor w(s).
-3*s*(s - 14)/4
Let c(r) be the first derivative of -r**4/12 + 27*r**3 - 6561*r**2/2 + 177147*r - 226. Factor c(b).
-(b - 81)**3/3
Let h(t) be the first derivative of 0*t - 3/2*t**4 + 2/5*t**5 + 21 + 2*t**3 - t**2. Factor h(s).
2*s*(s - 1)**3
Let k(g) = -g**2 + 5*g + 2. Let h(n) = -3*n**2 + 238*n - 12992. Let w(i) = -h(i) + 2*k(i). Factor w(r).
(r - 114)**2
Let x(h) be the first derivative of -48 + 0*h + 1/9*h**3 + 0*h**2 + 1/12*h**4. Let x(r) = 0. Calculate r.
-1, 0
Let g(h) be the second derivative of -3*h**4/2 - 53*h**3/3 + 6*h**2 + 12*h + 3. Let g(s) = 0. What is s?
-6, 1/9
Let g(u) be the third derivative of 5*u**2 + 1/120*u**4 + 1/600*u**5 + 0 + 0*u - 1/2100*u**7 + 0*u**3 - 1/600*u**6. Find x such that g(x) = 0.
-2, -1, 0, 1
Let l(v) be the second derivative of v**4/120 - v**2/5 - 490*v. Factor l(o).
(o - 2)*(o + 2)/10
Suppose -s + 4*j - j + 1 = 0, -25 = -3*s - 2*j. Factor -s*z**2 - 6 + 8*z**2 + z + 4*z.
(z - 1)*(z + 6)
Let v(i) be the first derivative of -49*i**3/15 + 21*i**2/5 - 9*i/5 + 5. Factor v(x).
-(7*x - 3)**2/5
Let g(q) be the third derivative of -12*q**2 - 1/96*q**4 + 0*q + 1/480*q**6 - 1 + 1/4*q**3 - 1/40*q**5. Factor g(i).
(i - 6)*(i - 1)*(i + 1)/4
Let q(j) be the first derivative of -18*j**6 - 276*j**5/5 + 104*j**4/3 - 16*j**3/3 + 74. Let q(g) = 0. Calculate g.
-3, 0, 2/9
Let r(w) be the third derivative of w**6/1800 - w**5/200 - w**4/30 - 5*w