, 2
Factor -21 - 3/2*s**2 + 27/2*s.
-3*(s - 7)*(s - 2)/2
Let b(z) be the first derivative of 0*z**2 - 1/3*z**3 + z + 32. Let b(f) = 0. What is f?
-1, 1
Let o(s) be the third derivative of -s**6/120 - 3*s**5/40 + 3*s**3/2 - 8*s**2. Let b(n) be the first derivative of o(n). Find x such that b(x) = 0.
-3, 0
Let n be (-232)/20 - -12 - (-16)/(-50). Let p(z) be the first derivative of -8/5*z - 3/5*z**4 - 1 - 12/5*z**2 - 26/15*z**3 - n*z**5. Factor p(t).
-2*(t + 1)**2*(t + 2)**2/5
Let m(l) be the second derivative of -2/3*l**4 - 2*l**2 + 5/3*l**3 - 36*l + 1/10*l**5 + 0. Find s, given that m(s) = 0.
1, 2
Let a(d) be the third derivative of -d**8/336 + 2*d**7/35 - 41*d**6/120 + d**5/30 + 15*d**4/2 - 100*d**3/3 - 826*d**2. Find r, given that a(r) = 0.
-2, 2, 5
Let j = 11172 + -11170. Factor 12/5 - 4/5*x**j + 8/5*x.
-4*(x - 3)*(x + 1)/5
Let g(f) be the third derivative of -f**7/420 - f**6/40 - f**5/24 + f**4/2 + 3*f**3 - 2*f**2 - 93*f. Factor g(j).
-(j - 2)*(j + 2)*(j + 3)**2/2
Let t(u) = u + 16. Let y be t(-13). Let w(q) be the first derivative of -2/15*q**y + 3 + 2/5*q**2 - 2/5*q. Factor w(g).
-2*(g - 1)**2/5
Let q(k) be the second derivative of 0*k**2 - 1/8*k**4 - 1/60*k**6 + 3/40*k**5 + 0 + 7*k + 1/12*k**3. Factor q(i).
-i*(i - 1)**3/2
Let i(s) be the third derivative of s**5/330 - s**4/132 + s**2 - 4*s. Determine n, given that i(n) = 0.
0, 1
Let z(r) be the first derivative of -3*r**4/8 - 7*r**3/8 + 194. Factor z(p).
-3*p**2*(4*p + 7)/8
Let z be -790*(-4 - 23/(-6)). Let m = 132 - z. Factor 16/3 + m*w**2 - 8/3*w.
(w - 4)**2/3
Let y = 193 + -191. Let f be 3/(y*-5*(-2)/20). Solve -2 + f*d**3 - 9/2*d**4 - 2*d + 11/2*d**2 = 0 for d.
-2/3, 1
Let k(d) be the third derivative of -d**6/120 + d**5/40 + d**4/4 + 5*d**3/6 + 17*d**2. Let v(u) be the first derivative of k(u). Solve v(l) = 0.
-1, 2
Let p(y) be the first derivative of y**4/14 - 8*y**3/21 - 16*y**2/7 + 128*y/7 + 226. Factor p(u).
2*(u - 4)**2*(u + 4)/7
Let i(f) = f**3 + 10*f**2 - 12*f - 8. Let p be i(-11). Let x = 3014 + -3014. Factor -1/2*n**4 - 3/2*n**p + x - 1/2*n - 3/2*n**2.
-n*(n + 1)**3/2
Let z(k) be the second derivative of k**7/2940 - k**6/140 + 9*k**5/140 - 9*k**4/28 - 9*k**3/2 - 24*k. Let n(p) be the second derivative of z(p). Factor n(u).
2*(u - 3)**3/7
Determine w, given that 2/11*w**4 + 1344/11*w + 16*w**2 + 1568/11 - 48/11*w**3 = 0.
-2, 14
Let r = 7 + -3. Let c be (4 - -12 - 17)*0. Find f, given that 16/5*f**r + 0*f**2 + c*f - 4/5*f**5 - 16/5*f**3 + 0 = 0.
0, 2
Let u = 644 - 641. Let w(m) be the first derivative of 1/12*m**4 + 0*m + 0*m**u - 1/6*m**2 - 4. Factor w(b).
b*(b - 1)*(b + 1)/3
Let a = -223 + 225. Let l(x) be the first derivative of 0*x - 2/21*x**3 + 0*x**a - 1. Suppose l(b) = 0. Calculate b.
0
Let q(t) = 51*t + 309. Let x be q(-6). Let n(s) be the second derivative of 0 - 3*s - 1/6*s**4 - 4/9*s**x + 4/3*s**2. Determine z, given that n(z) = 0.
-2, 2/3
Let w(b) be the first derivative of -b**7/210 + b**6/90 + b**5/30 - b**4/6 - 2*b**3/3 - 16. Let s(j) be the third derivative of w(j). Factor s(h).
-4*(h - 1)**2*(h + 1)
Let a(o) be the second derivative of -o**6/15 + 4*o**5/5 - 53*o. Let a(z) = 0. Calculate z.
0, 8
What is o in -20*o + 34*o + 3*o**2 + 12*o + 60 + 37*o = 0?
-20, -1
Let q(u) = -2*u**4 + 10*u**3 - 18*u**2 - 30*u + 40. Let r(a) = -a**4 + 9*a**3 - 17*a**2 - 30*a + 39. Let i(w) = 3*q(w) - 4*r(w). Suppose i(m) = 0. Calculate m.
-3, 1, 2
Factor -4*x**2 + 4 + 155199*x**4 - 4*x**2 - 155195*x**4.
4*(x - 1)**2*(x + 1)**2
Let u(l) = -l**2 + 8*l. Let v be u(8). Solve -4*o - 10*o**2 + v*o**3 - 3*o**3 - 3*o**3 = 0 for o.
-1, -2/3, 0
Let g be 3 - 13/8 - (-32)/256. Factor 0*d + 3/4*d**4 + 0 + g*d**3 + 3/4*d**2.
3*d**2*(d + 1)**2/4
Suppose 0 = -2*z + 6, 2*z - 80 = -3*r + 283. Let b be 12/20 + (r/10 - 2). Find d, given that 9/2*d**5 + 6*d - 6*d**4 + 0 + 6*d**2 - b*d**3 = 0.
-1, -2/3, 0, 1, 2
Let t(p) be the third derivative of p**8/112 + 149*p**7/280 + 577*p**6/160 + 531*p**5/80 + 99*p**4/32 + 325*p**2. Solve t(q) = 0 for q.
-33, -3, -1, -1/4, 0
Let z(u) = u**5 + 3*u**4 + 19*u**3 + 29*u**2 + 16*u. Let x be (4/8)/(3/6). Let b(y) = -y**4 + y**2 - 1. Let p(o) = x*z(o) - 4*b(o). Factor p(s).
(s + 1)**3*(s + 2)**2
Let y(o) be the first derivative of 2*o**5/5 - 12*o**3 + 162*o - 40. Solve y(s) = 0 for s.
-3, 3
Let q(u) be the third derivative of 0*u**3 + 0*u + 0 + 1/336*u**8 + 19*u**2 + 1/20*u**6 + 1/24*u**4 - 2/105*u**7 - 1/15*u**5. Factor q(v).
v*(v - 1)**4
Let v(c) be the first derivative of -2*c**5/5 - c**4/2 + 4*c**3 + 4*c**2 - 16*c - 479. Factor v(r).
-2*(r - 2)*(r - 1)*(r + 2)**2
Factor 1/2*b**3 - 9/2*b + 1/2*b**2 - 9/2.
(b - 3)*(b + 1)*(b + 3)/2
Find b such that -63/2*b**2 - 39/4 - 30*b - 3/4*b**4 - 12*b**3 = 0.
-13, -1
Suppose 31 = 5*l + 2*i + 11, 2*l = 4*i + 32. Let m be (15/l + -2)*0. Determine h, given that m*h + 0*h**3 + 0 - 1/2*h**2 + 1/2*h**4 = 0.
-1, 0, 1
Factor -14/3*x**5 - 10*x**3 + 0 - 38/3*x**4 + 4/3*x - 2/3*x**2.
-2*x*(x + 1)**3*(7*x - 2)/3
Factor -34*o**2 - 38*o**3 + 29*o**2 + 41*o**3 + 363*o - 61*o**2.
3*o*(o - 11)**2
Determine l, given that 68/7*l + 24/7 - 137/7*l**3 - 86/7*l**4 - 15/7*l**5 - 22/7*l**2 = 0.
-3, -2, -1, -2/5, 2/3
Suppose -205 = w - 208. Find o, given that -7/2*o**2 + 9/2*o**5 + 2 + 3/2*o**4 - 17/2*o**w + 4*o = 0.
-1, -2/3, 1
Let t(k) be the first derivative of -1/2*k**4 - 36 - 2/3*k**3 + 0*k + 0*k**2. Determine q so that t(q) = 0.
-1, 0
What is u in -14*u**3 + 12 + 169*u - 56 + 144*u**2 - 55*u = 0?
-1, 2/7, 11
Let t = 742/3 + -247. Let w(g) be the first derivative of t*g**3 + 0*g**4 - 1/2*g + 3 - 1/10*g**5 + 0*g**2. Let w(f) = 0. What is f?
-1, 1
Let y(l) be the first derivative of l**4/4 + 7*l**3 + 35*l**2/2 - 57*l + 427. Let y(j) = 0. Calculate j.
-19, -3, 1
Let i be (-588)/(-119) + (-1)/(-17). Find t such that -385/2*t**4 - 8 + 100*t + 430*t**3 - 380*t**2 + 121/4*t**i = 0.
2/11, 2
Suppose -66 = -9*o + 3*o. Factor 32*q**2 + 33*q**4 - 29*q**4 - o*q - 5*q - 20*q**3.
4*q*(q - 2)**2*(q - 1)
Let s = -11 + 23. Suppose 3*t = -4*z + s, 11 + 8 = 2*t - z. Factor -8 - 2*g**3 + t.
-2*g**3
Let f(h) be the first derivative of 1/22*h**4 - 4/11*h - 11 - 8/33*h**3 + 5/11*h**2. Factor f(p).
2*(p - 2)*(p - 1)**2/11
Let h(a) = 2*a - 3. Let v be h(2). Let r(w) = w**2 + 1. Let u(s) = 24*s**2 - 16*s + 36. Let p(x) = v*u(x) - 20*r(x). Let p(f) = 0. What is f?
2
Let o be 0/(-2) + (0 + 0)/(-4). Let n(r) be the first derivative of -1/6*r**3 - 1/12*r**6 + 2 + 0*r + o*r**2 - 3/8*r**4 - 3/10*r**5. Factor n(b).
-b**2*(b + 1)**3/2
Let t(a) be the third derivative of a**8/24192 + 23*a**7/30240 - a**6/432 + 2*a**5/15 + 44*a**2. Let j(x) be the third derivative of t(x). Factor j(u).
(u + 5)*(5*u - 2)/6
Let w(l) be the second derivative of -39*l - 1/13*l**2 + 1/78*l**4 + 0*l**3 + 0. Solve w(k) = 0.
-1, 1
Factor -16 - 580*f**2 - 940*f**3 - 226*f**5 - 52*f**5 - 160*f - 539*f**4 - 161*f**4 + 82*f**5.
-4*(f + 1)**3*(7*f + 2)**2
Let c(k) be the first derivative of 3/4*k**4 - 4*k**3 + 0*k**2 + 14 + 0*k. Find l such that c(l) = 0.
0, 4
Let m = -227 + 229. Let d(f) be the third derivative of m*f**2 + 1/3*f**3 - 1/24*f**4 - 1/60*f**5 + 0*f + 0. Factor d(r).
-(r - 1)*(r + 2)
Let s(k) = -k**2 + k - 1. Let i(o) = -6*o**3 + 12*o**2 + 10*o + 4. Let p(d) = -i(d) - 4*s(d). Find z such that p(z) = 0.
-1, 0, 7/3
Let k(a) = -a**2 - 31*a. Let c be k(-6). Let v = c - 150. Factor 2/11*u**2 - 2/11*u**3 + 0*u + v.
-2*u**2*(u - 1)/11
Let h(w) be the third derivative of w**7/840 - w**6/80 + w**5/240 + w**4/4 + 2*w**3/3 + 119*w**2. Determine k, given that h(k) = 0.
-1, 4
Let o(q) be the second derivative of q**6/195 - 14*q**5/65 + 122*q**4/39 - 224*q**3/13 + 576*q**2/13 - 108*q. Suppose o(p) = 0. What is p?
2, 12
Let n(r) = 9*r**5 - 5*r**4 + 53*r**3 + 7*r + 7. Let c(f) = 7*f**5 - 5*f**4 + 54*f**3 + 6*f + 6. Let v(p) = -7*c(p) + 6*n(p). What is s in v(s) = 0?
-4, 0, 3
Let k(n) be the third derivative of -n**5/60 - 19*n**4/24 - 44*n**3/3 - 21*n**2. Let p be k(-11). Solve p + 1/3*z + 1/9*z**2 = 0.
-3, 0
Let c(v) be the first derivative of -5/8*v**4 + 6 + 5/8*v**2 + 5/24*v**6 + 5/6*v**3 - 5/4*v - 1/4*v**5. Factor c(s).
5*(s - 1)**3*(s + 1)**2/4
Let b be 9/(65/(-40) + 0 + 2). Find h, given that -24*h**2 + b*h + 14 + 7 + 27*h**2 = 0.
-7, -1
Let r(g) be the third derivative of -g**7/1260 - g**6/144 + g**5/360 