ppose 17 = 15*s - c, 8*s = 10*s - 5*c + 61. Find h such that 1/10*h**s + 11/10*h - 6/5 = 0.
-12, 1
Let v be 22*((-53)/(-7) - (-8)/(-14)). Suppose -12*p = -23*p + v. Factor -r - 2*r**3 + 12*r**3 + p*r**2 + 7*r + 2*r**4.
2*r*(r + 1)**2*(r + 3)
Factor -4/7*q**2 - 90972 - 456*q.
-4*(q + 399)**2/7
Suppose 2*f + f + 4*l = -2112, 3*f + 2121 = -l. Let c = f - -711. Factor 4/9 - 8/9*s + 0*s**2 + 8/9*s**c - 4/9*s**4.
-4*(s - 1)**3*(s + 1)/9
Solve -75 + 3*w**2 - 1/3*w**3 + 25/3*w = 0.
-5, 5, 9
Let s(w) be the third derivative of 0*w**5 + 0*w**3 - 1/1260*w**7 + 1/2016*w**8 - 3 + 0*w**4 + 4*w**2 + 0*w**6 + 0*w. Factor s(h).
h**4*(h - 1)/6
Let a(u) = -257*u**2 + 509*u - 11. Let h(b) = 254*b**2 - 506*b + 10. Let x(t) = 2*a(t) + 3*h(t). Factor x(q).
4*(q - 2)*(62*q - 1)
Let z(u) = 95*u**2 - 147525*u - 120737050. Let m(d) = -11*d**2 + 16392*d + 13415228. Let n(b) = 35*m(b) + 4*z(b). Suppose n(h) = 0. What is h?
-1638
Let t(n) be the third derivative of -n**6/960 - n**5/80 + 3*n**4/64 + 7*n**3/24 + 79*n**2 + 9. What is k in t(k) = 0?
-7, -1, 2
Determine q so that 0 + 12/7*q - 2/7*q**2 - 2/7*q**3 = 0.
-3, 0, 2
Let m(n) = 5*n**3 + 10*n**2 + n - 17. Let h be m(-7). Let j = 3760/3 + h. Factor j*o + o**2 + 4/3.
(o + 4)*(3*o + 1)/3
Let i(p) = -703*p + 2816. Let k be i(4). Let f(y) be the third derivative of 19*y**2 + 1/100*y**k + 0*y + 0 + 2/75*y**3 + 1/750*y**5. Solve f(r) = 0 for r.
-2, -1
Suppose 9 = 8*h - 15. Factor 3*x**h - 2332 - 2*x + 2338 - 2*x - 5*x.
3*(x - 1)**2*(x + 2)
Let d be 6/(-3)*-3 + 19. Factor 26 - 2 + 5*a**2 + 65 - 2*a**2 + 63*a + d.
3*(a + 2)*(a + 19)
Let v(i) be the second derivative of -i**6/40 + 9*i**5/40 + 63*i**4/16 - 49*i**3 - 175*i + 3. Factor v(y).
-3*y*(y - 7)**2*(y + 8)/4
Let n(h) be the first derivative of -h**4/7 - 284*h**3/21 + 176*h**2 - 5056*h/7 + 5225. Factor n(o).
-4*(o - 4)**2*(o + 79)/7
Suppose -53*c - 40 + 187 - 28 = 13. Find h such that 192 + 44/9*h**3 + 40*h**c + 2/9*h**4 + 144*h = 0.
-6, -4
Let t(n) be the third derivative of 0 - 19/60*n**5 - 23/72*n**4 - 53/360*n**6 + 0*n - 17/630*n**7 - 1/9*n**3 + 8*n**2. Factor t(d).
-(d + 1)**3*(17*d + 2)/3
Let n(w) be the first derivative of 0*w - 9/40*w**6 + 11 - 13/8*w**4 + w**3 + w**5 - 7/2*w**2. Let j(c) be the second derivative of n(c). Factor j(d).
-3*(d - 1)**2*(9*d - 2)
Let y be 3/9 - 13/39. Suppose 12*d = 9 + 51. Factor 0*l**2 + 0*l**4 + 0*l + y - 2/9*l**d + 2/9*l**3.
-2*l**3*(l - 1)*(l + 1)/9
Let i(t) be the first derivative of 100 + 8/3*t - 44/9*t**2 + 14/27*t**3. Factor i(c).
2*(c - 6)*(7*c - 2)/9
Solve -2/11*j**4 - 52/11*j**2 + 54/11 - 24/11*j**3 + 24/11*j = 0.
-9, -3, -1, 1
Let g(s) = -6*s - 8. Let u be g(-6). Let l = 312 + -310. Suppose -15*z**3 + 2*z**3 + 20*z**5 + z**3 + 28*z**4 - u*z**l + z - 9*z = 0. Calculate z.
-1, -2/5, 0, 1
Factor 26*s**3 + 14/9*s**4 + 0*s + 0 - 198*s**2 - 2/9*s**5.
-2*s**2*(s - 9)**2*(s + 11)/9
Let k be 2/(-9) - 6/(-27). Let n be (-21)/(135/75*-5). Determine d so that -1/3*d**2 - n*d + k = 0.
-7, 0
Solve -22886656/7 - 4/7*j**2 - 19136/7*j = 0.
-2392
Let w(j) be the first derivative of 5/4*j**4 + 6845*j + 125*j**3 - 92 + 7215/2*j**2. Factor w(u).
5*(u + 1)*(u + 37)**2
Let x(l) be the first derivative of -11*l**6/36 + 7*l**5/15 - l**4/8 + 207. Let x(t) = 0. What is t?
0, 3/11, 1
Let d = 14128 + -14105. Let a(m) be the third derivative of -2/15*m**5 + 0 + 0*m**3 + 1/60*m**6 + 0*m**4 + d*m**2 + 0*m. Factor a(w).
2*w**2*(w - 4)
Let t = 406349/237041 - -1/33863. Suppose 12/7*r - 3/7*r**2 - t = 0. What is r?
2
Let g be 178/11 + (-34)/187. Factor -11*x**5 - 17*x**3 - 7*x**3 + 51*x**4 + g*x**3 - 4*x**3 - x**5.
-3*x**3*(x - 4)*(4*x - 1)
Let k(d) be the third derivative of d**5/12 - 455*d**4/24 + 445*d**3/3 + 7*d**2 - 115*d. Let k(j) = 0. Calculate j.
2, 89
Suppose -3*j - 1315 = l - 1324, 4*l = 2*j - 6. Factor 0*t - 99/2*t**2 - 3/2*t**3 + l.
-3*t**2*(t + 33)/2
Let x(u) be the second derivative of -35/24*u**4 + 11/4*u**2 + 7/4*u**3 + 3/40*u**5 + 4 - 17*u. Factor x(a).
(a - 11)*(a - 1)*(3*a + 1)/2
Find h, given that 108 + 17787*h**4 + 76719*h**2 - 1894*h - 72534*h**3 - 1397*h - 2361*h = 0.
3/77, 2
Let r be (-531)/(-189) - (132/88 - 11/6). Factor 2/7*u**3 + 8 + 64/7*u + r*u**2.
2*(u + 2)**2*(u + 7)/7
Let c(v) be the first derivative of -v**5/5 + 43*v**4/4 - 122*v**3/3 + 40*v**2 - 8545. Determine g, given that c(g) = 0.
0, 1, 2, 40
Let z(j) be the second derivative of j**6/15 - 13*j**5/10 - 8*j**4/3 + 28*j**3/3 + 17*j - 17. Factor z(o).
2*o*(o - 14)*(o - 1)*(o + 2)
Solve -6/5*s**3 + 1/5*s**4 - 12/5*s**2 + 15 + 14*s = 0.
-3, -1, 5
Let o(p) be the third derivative of 0*p + 96*p**2 + 2*p**3 - 1/10*p**6 + 2 + 17/20*p**5 - 5/2*p**4. Suppose o(d) = 0. Calculate d.
1/4, 2
Suppose 19*a + 10 = 24*a. Suppose 0*y**3 - 10*y - y**2 - 541 - a*y**3 + 3*y**3 + 533 = 0. Calculate y.
-2, -1, 4
Let d(g) be the second derivative of -g**5/5 + 49*g**4 - 3650*g**3 + 10658*g**2 + 1314*g. Let d(p) = 0. What is p?
1, 73
Let m(v) be the first derivative of -4*v**3/9 + 28*v**2/3 + 128*v/3 - 1289. Find a, given that m(a) = 0.
-2, 16
Let x = 45340 - 181357/4. Suppose 7/4*s**2 + 1/4*s**4 + x*s + 5/4*s**3 + 0 = 0. What is s?
-3, -1, 0
Let j be ((-1)/(-14))/(9 - (-537726)/(-59748)). Let b = -711 + j. Suppose 3/7*q - 2/7 + 1/7*q**5 - 4/7*q**3 + 0*q**4 + b*q**2 = 0. What is q?
-2, -1, 1
Let k = 894 - 892. Suppose -56*q + k = -222. Solve 0*u**2 + 2/7*u**3 + 0 - 8/21*u + 2/21*u**q = 0.
-2, 0, 1
Let v(y) be the third derivative of -y**6/24 + 19*y**5/12 + 35*y**4/4 - 12*y**2 + 36*y. Factor v(k).
-5*k*(k - 21)*(k + 2)
Let i(j) be the third derivative of -j**6/40 - 2*j**5 - 493*j**4/8 - 867*j**3 + 3648*j**2. Let i(s) = 0. Calculate s.
-17, -6
Let x(y) be the second derivative of -y**5/5 + 80*y**4/3 - 4186*y**3/3 + 35972*y**2 + 4286*y. Determine z so that x(z) = 0.
23, 34
Let g be 0 - ((-6)/(-7))/(-2). Let v = 269137 - 1883958/7. Factor -v*i**2 + g*i + 4/7.
-(i - 4)*(i + 1)/7
Let p(x) be the third derivative of x**7/315 + 17*x**6/180 + 22*x**5/45 + 7*x**4/9 + 2861*x**2. Find t such that p(t) = 0.
-14, -2, -1, 0
Factor 40/7*m**4 - 2/7*m**5 + 84*m**2 - 38*m**3 + 0 + 0*m.
-2*m**2*(m - 7)**2*(m - 6)/7
Let s(k) be the first derivative of -k**5/70 - 3*k**4/14 - 5*k**3/7 + 25*k**2/7 + 266*k + 98. Let d(c) be the first derivative of s(c). What is m in d(m) = 0?
-5, 1
Let c(n) be the first derivative of -2*n**3/27 - 31*n**2/3 + 980*n/9 + 1902. Factor c(d).
-2*(d - 5)*(d + 98)/9
Let n(q) = -q**2 - 4698*q - 14083. Let b be n(-3). Factor 7/3*m - 20/9 - 1/9*m**b.
-(m - 20)*(m - 1)/9
Let f be -2 + 56/7 - (-260)/(-45). Let b(i) be the first derivative of -f*i**3 + 1/15*i**5 + 1/6*i**2 + 1/18*i**6 - 5 + 1/3*i - 1/6*i**4. Solve b(d) = 0.
-1, 1
Let d(t) be the second derivative of -t**5/60 + t**4 - 22*t**3/3 - 41*t**2/2 - 62*t. Let i(g) be the first derivative of d(g). Find s such that i(s) = 0.
2, 22
Let q be 128/22 + (-2)/(-11). Find g, given that 4*g**4 + 27*g**2 - 5*g**3 - 12*g**2 - q*g**5 + g**5 - 19*g**4 + 10*g = 0.
-2, -1, 0, 1
Let t = 214 + -212. Factor 40 + 3276*k + 196520*k**3 + 52020*k**t + 1314*k + 95.
5*(34*k + 3)**3
Let y(w) = -w + 16. Let f(n) = -7*n**3 - n**2 - 3*n - 1. Let g be f(-1). Let r be y(g). Factor 1725*l**2 - r - 5*l - 25*l - 1732*l**2.
-(l + 4)*(7*l + 2)
Let z = 2/2563 - -4916/269115. Let v(i) be the third derivative of 0 + 0*i + 0*i**3 + z*i**7 - 19*i**2 + 0*i**4 + 0*i**5 - 1/30*i**6. Factor v(s).
4*s**3*(s - 1)
Let b(i) be the first derivative of -i**3/3 - 34*i**2 - 517. Suppose b(y) = 0. What is y?
-68, 0
Let a(w) be the third derivative of -w**8/336 - 71*w**7/105 + 243*w**6/40 - 443*w**5/30 - 145*w**4/6 + 196*w**3 + 3*w**2 - 591. Solve a(n) = 0.
-147, -1, 2
Let u(r) be the third derivative of -49/180*r**6 + 225*r**2 + 11/8*r**4 - 1/1008*r**8 - 71/90*r**5 + 121/18*r**3 + 1/30*r**7 + 0 + 0*r. Solve u(z) = 0 for z.
-1, 1, 11
Let q = 206 - 205. Let k(i) = 12*i**2 - 4. Let p(n) = n**2 - n - 1. Let x(m) = q*k(m) - 8*p(m). Factor x(f).
4*(f + 1)**2
Suppose 84/5 - 34/5*z + 2/5*z**2 = 0. What is z?
3, 14
Let l be (3 - (-33)/(-9))/((-22)/7509). Let p = l + -227. Factor 6/11*i**2 - 12/11 + p*i.
6*(i - 1)*(i + 2)/11
Let d(q) = 2*q**3 + 65*q**2 - 30*q - 3801. Let y be d(-31). Let k = -69/2 + 36. Factor -k*z**2 - 9*z - y.
-3*(z + 2)*(z + 4)/2
Let b(s) be the third derivative of s**6/1080 + s**5/90 