17*q + 18*q = -19, 2*p - 2*q - 14 = x. Let -1/3*r**4 + 1/3*r**2 - 1/3*r + 1/3*r**p + 0 = 0. What is r?
-1, 0, 1
Let z(l) be the second derivative of -l**5/4 + 1495*l**4/4 + 301*l. Factor z(w).
-5*w**2*(w - 897)
Let t(s) be the third derivative of -1/108*s**4 + 0*s**3 + 0*s - 18*s**2 + 5/189*s**7 - 1/36*s**6 - 1/30*s**5 + 3. Factor t(o).
2*o*(o - 1)*(5*o + 1)**2/9
Let z(p) be the second derivative of p**5/20 + 97*p**4/6 + 3952*p**3/3 - 75712*p**2 + 9*p - 690. Suppose z(h) = 0. What is h?
-104, 14
Let b be ((-22)/231)/(1080/(-18)). Let t(s) be the third derivative of b*s**7 + 13/180*s**5 + 1/60*s**6 + 2/9*s**3 + 1/6*s**4 + 11*s**2 + 0*s + 0. Factor t(a).
(a + 1)**2*(a + 2)**2/3
Factor 2/7*q**2 + 466/7*q - 940/7.
2*(q - 2)*(q + 235)/7
Let b be 2*(85820/(-17160) + 5/1). Let d = 1292/2145 + b. Factor -2/5*p**2 + 0 - d*p + 1/5*p**3.
p*(p - 3)*(p + 1)/5
Find z, given that 816/5*z + 2/5*z**2 + 0 = 0.
-408, 0
Let b(o) = -o - 3. Let c be b(-3). Let a = 2669291/7118088 + -1/889761. Factor 1/8*y**4 - 1/2*y**3 + 0 + a*y**2 + c*y.
y**2*(y - 3)*(y - 1)/8
Let l(k) = -k**3 - 30*k**2 + 805*k - 3172. Let p(w) = -3*w**3 - 49*w**2 + 1610*w - 6343. Let v(h) = 5*l(h) - 2*p(h). Let v(f) = 0. What is f?
6, 23
Suppose 151*n - 145*n - 960 = 0. Factor -26 + 8 + 55*g - n*g - 108*g**2.
-3*(4*g + 3)*(9*g + 2)
Let p(g) be the third derivative of -g**8/560 + 2*g**7/175 + 9*g**6/200 - 16*g**5/25 + 5*g**4/2 - 24*g**3/5 + 4*g**2 + g + 68. Solve p(n) = 0 for n.
-4, 1, 2, 3
Let b be 147/(-42)*(-4)/7. Factor -6 + 32*w - 22 + 38*w**2 - 42*w**b.
-4*(w - 7)*(w - 1)
Let r(g) = -25*g**5 - 3764*g**4 + 3034*g**3 - 613*g**2 + 18*g + 9. Let j(t) = t**4 - 2*t**3 + t**2 - 2*t - 1. Let i(u) = -18*j(u) - 2*r(u). Factor i(l).
2*l**2*(l + 151)*(5*l - 2)**2
Suppose 0 = 9*f + 2*i - 44, 17365*i + 8 = -2*f + 17361*i. Factor f + 2/7*p**4 + 132/7*p**2 + 128/7*p + 48/7*p**3.
2*(p + 1)**3*(p + 21)/7
Let b(j) = 25*j**3 + 11*j**2 + 116*j - 68. Let o(c) = 2*c**3 - c**2 + 8*c - 2. Let k(g) = -b(g) + 12*o(g). Factor k(q).
-(q - 1)*(q + 2)*(q + 22)
Suppose -248*m - i = -235*m - 35, -17 = -4*m - i. Suppose -4/9*g**m - 10000/9 + 400/9*g = 0. Calculate g.
50
Let r be -4*6/24 + 13 + 0. Let t = 6 + r. Find n such that -3 + 3*n**4 + t*n + 12*n**3 - 6*n**4 - 15*n**2 - 6*n - 3*n**2 = 0.
1
Suppose -5*p - 4*q = -112 - 80, 0 = 5*p - q - 177. Let u = p - 30. Factor -21 + 4*s**2 - 16*s - u + 7.
4*(s - 5)*(s + 1)
Suppose 845 = -3*b - 2*i, 4*i - 996 = 4*b + 124. Let x = -838/3 - b. Find a, given that 1/3*a**3 - 1/3*a**2 - x*a - 1 = 0.
-1, 3
Let w(l) = 110*l**2 - 1545*l - 1405. Let n(r) = 13*r**2 - 193*r - 176. Let q(v) = 25*n(v) - 3*w(v). Suppose q(z) = 0. What is z?
-37, -1
Let g(w) be the first derivative of -45*w + 15/2*w**4 - 88 - 305/3*w**3 + 160*w**2. Find t, given that g(t) = 0.
1/6, 1, 9
Let t(o) = -o**2 + 437*o - 4268. Let s be t(10). Let x(k) be the second derivative of k**3 - 40*k + 0 + 1/12*k**4 + 0*k**s. Suppose x(d) = 0. Calculate d.
-6, 0
Let y(b) be the first derivative of b**6/1260 + 8*b**5/35 + 192*b**4/7 + 19*b**3/3 + 125. Let t(z) be the third derivative of y(z). Find u such that t(u) = 0.
-48
Let r be (722/3591)/(4/6). Let k(a) be the second derivative of -26*a + 0 + 5/21*a**2 - r*a**3 - 2/63*a**4. Let k(o) = 0. Calculate o.
-5, 1/4
Let c be 11*((-30)/60)/(1/(-2)). Suppose c*d = 6*d - 4*r - 7, 6 = -3*d - 3*r. Factor 1/3*a**3 + 5/3*a**2 + d + 7/3*a.
(a + 1)**2*(a + 3)/3
Let f(s) be the first derivative of 10*s**2 - 8*s + 41 - 5*s**4 - 4/3*s**3 + 12/5*s**5. Factor f(z).
4*(z - 1)**2*(z + 1)*(3*z - 2)
Determine j so that -5/3*j**3 - 1220/3*j - 800 - 155/3*j**2 = 0.
-20, -8, -3
Suppose g + 15 - 28 = 0. Factor 48*i**3 + 8*i**2 - 4*i**5 + 16*i**4 - 28*i - g*i - 3*i - 24.
-4*(i - 6)*(i - 1)*(i + 1)**3
Let w(l) = -l**2 + 8*l. Let t(x) = -2*x**2 + 14*x - 11. Let i(y) = -2*t(y) + 6*w(y). Factor i(s).
-2*(s - 11)*(s + 1)
Factor 454*u**3 - 40*u + 56*u - 36*u**2 - 440*u**3.
2*u*(u - 2)*(7*u - 4)
Suppose 3*r + 10 = 22. Factor 0*z**r + 0*z + 77*z**3 - 82*z**3 + 26*z**2 - 8*z - 3*z**4.
-z*(z - 2)*(z + 4)*(3*z - 1)
Let y(t) be the third derivative of t**6/270 + 2*t**5/45 - 8*t**4/27 - 64*t**3/9 + 2802*t**2 - 2*t. Factor y(w).
4*(w - 4)*(w + 4)*(w + 6)/9
Let u(o) be the first derivative of 2*o**5/5 - 41*o**4 + 1174*o**3 - 3280*o**2 + 3200*o + 145. Find b such that u(b) = 0.
1, 40
Let y = -132920 + 664639/5. What is h in -48/5*h + 16/5 - 112/5*h**3 - y*h**4 - 136/5*h**2 - h**5 = 0?
-2, 1/5
Let b = -1098194 - -7687404/7. What is o in b*o**2 - 10/7*o - 6/7 + 8/7*o**4 - 38/7*o**3 = 0?
-1/4, 1, 3
Let n = 499839 + -3498841/7. Solve 8/7 - 22/7*h**2 + 18/7*h**3 - n*h = 0.
-1, 2/9, 2
Suppose 700746332*p + 88*p**4 - 93*p**4 + 7295*p**3 - 3550230*p**2 - 573956280 - 123247112*p = 0. What is p?
1, 486
Factor -11139/5*z**2 + 10345344/5*z + 3/5*z**3 - 10334208/5.
3*(z - 1856)**2*(z - 1)/5
Suppose -726 = -42*i - 11*i - 189*i. Factor -2/3*w**4 + 0 - 2/3*w**2 + 4/3*w**i + 0*w.
-2*w**2*(w - 1)**2/3
Let v be 125/30 - (0 + (-7)/(-42)). Find k, given that 0*k**3 + 9*k**3 - 13*k**3 + 8*k**3 + v*k**2 = 0.
-1, 0
Let g(l) = 6*l**5 + 2*l**4 - l**3 + l**2. Let o(w) = 34*w**5 + 160*w**4 - 3152*w**3 + 15102*w**2 - 20808*w. Let c(j) = -6*g(j) + o(j). Solve c(r) = 0 for r.
0, 3, 34
Let o(h) be the second derivative of -3*h**5/140 - 33*h**4/28 + 53*h**3/7 - 108*h**2/7 + 258*h - 4. Let o(q) = 0. Calculate q.
-36, 1, 2
Let p = -3531852/11 - -321354. Suppose 2/11*j**2 - 156/11*j + p = 0. Calculate j.
39
Let q(y) be the first derivative of -188/9*y - 32/3*y**2 - 4/27*y**3 - 135. Suppose q(j) = 0. Calculate j.
-47, -1
Let b(c) = c**3 - 6*c**2 + 6*c. Let d be b(5). Let h be -1*(d - 1) + (31 - 24). Factor -5*l + 66*l**h - 136*l**3 + 75*l**3.
5*l*(l - 1)*(l + 1)
Suppose 2*z - 2*o = 130, -o = 1 + 4. Suppose -5*y + z = y. Determine f so that 45*f**3 - 22 - 7 - 45*f + 19 + y*f**2 = 0.
-1, -2/9, 1
Let v(f) = f**2 - 310*f - 289. Let u(c) = -2*c. Let r(g) = 11*u(g) - v(g). Solve r(m) = 0 for m.
-1, 289
Let o(i) be the third derivative of -i**5/60 - 3*i**4/8 - 13*i**3/6 - 15*i**2. Let n be o(-6). Factor 2*p**4 + 3*p**n - p**4 + 2*p**4.
3*p**4*(p + 1)
Suppose 0 = 7*t - 13*t + 12. Suppose -t*u - 10 = -2*p, -3*p + 2*u = -12 - 1. Factor r**4 + 3*r**4 + 6*r + p*r**2 - 8*r - 5*r**4.
-r*(r - 1)**2*(r + 2)
Let m(r) be the second derivative of r**6/345 - r**5/23 + 4*r**4/23 + 1001*r. Find u, given that m(u) = 0.
0, 4, 6
Let u(q) be the third derivative of q**6/420 + q**5/70 - 5*q**4/7 + 100*q**3/21 - 1420*q**2. Let u(l) = 0. What is l?
-10, 2, 5
Let g(s) be the first derivative of -3*s**5/25 + 51*s**4/10 + 83*s**3 + 330*s**2 - 6168. Determine a so that g(a) = 0.
-5, 0, 44
Factor -69/4*n**2 + 75/2 - 1/4*n**4 + 65/4*n + 15/4*n**3.
-(n - 6)*(n - 5)**2*(n + 1)/4
Suppose 2*q = -3 + 1. Let m be (((-294)/(-35))/7)/(q/(-10)). Factor m*k**2 - 3*k**3 + 4*k**3 + 0*k**2 + 3*k**3.
4*k**2*(k + 3)
Let t(k) be the first derivative of 91*k**3 - 141*k**2/2 + 18*k - 1066. Factor t(n).
3*(7*n - 2)*(13*n - 3)
Let g = -3409 + 3409. Let o(h) be the third derivative of -3/190*h**5 + 0 + g*h - 1/57*h**3 - 1/38*h**4 - 1/285*h**6 + 8*h**2. Factor o(y).
-2*(y + 1)**2*(4*y + 1)/19
Let z(f) be the second derivative of f**5/110 - 9*f**3/11 + 13*f**2 - 52*f. Let s(d) be the first derivative of z(d). Factor s(y).
6*(y - 3)*(y + 3)/11
Let l(y) be the second derivative of 32*y**6/35 - 1908*y**5/35 + 4313*y**4/28 - 2175*y**3/14 + 513*y**2/7 - 333*y. What is s in l(s) = 0?
3/8, 1, 38
Let o(q) be the second derivative of -q**5/110 - 5*q**4/66 + 28*q**3/33 + 32*q**2/11 + 70*q - 5. Factor o(b).
-2*(b - 4)*(b + 1)*(b + 8)/11
Let l(f) = -f**4 + 11*f**3 - 15*f**2 + 17*f. Let p(s) = 3*s**4 - 24*s**3 + 30*s**2 - 36*s. Let n(x) = 9*l(x) + 4*p(x). Find u, given that n(u) = 0.
-3, 0, 1
Let q be ((-15168)/(-480) - 23) + (-3 + 1)/(-2) + -9. Find j such that -q - 36/5*j**2 + 39/5*j = 0.
1/12, 1
Determine o, given that 2*o**2 + 149*o + 16 - 3*o - 70 - 27 - 67 = 0.
-74, 1
Factor -289*z - 349*z - 5*z**2 + 602*z + 8*z**2 - 12 + 45*z**3.
3*(z - 1)*(3*z + 2)*(5*z + 2)
Suppose 0*c + 8*c + 0*c - 2*c = 0. Let a(k) be the second derivative of 0*k**4 - 16*k + c*k**2 - 1/20*k**6 + 0 + 0*k**3 + 1/84*k**7 + 0*k**5. Factor a(y).
y**4*(y - 3)/2
Let r(k) be the first derivative of -k**4/22 - 464*k**3/33 - 13685*k**2/11 - 52900*k/11 - 760. 