4*q**3 = 0?
-6, -1, 1
Let w be 752/20 - (-47 - (-3 + -72)). Suppose -5*i = -0*i. Factor -48/5*c**3 - 72/5*c**2 + i*c - 9/5*c**4 + w.
-3*(c + 2)**3*(3*c - 2)/5
Let j(k) be the second derivative of k**6/15 + 3*k**5/2 + 43*k**4/6 - 5*k**3 - 44*k**2 + 13*k - 69. Find y such that j(y) = 0.
-11, -4, -1, 1
Let u(n) be the first derivative of -22*n**6/3 + 128*n**5/5 - 30*n**4 + 32*n**3/3 + 2*n**2 + 1534. Factor u(k).
-4*k*(k - 1)**3*(11*k + 1)
Let o(d) be the second derivative of -1/432*d**6 + 0*d**2 + 1/3*d**3 - 1/24*d**5 - 5/16*d**4 + 0 + 9*d. Let j(a) be the second derivative of o(a). Factor j(l).
-5*(l + 3)**2/6
Let y(f) = -3*f**2 - 237*f + 1278. Let v(i) = -i**2 - 117*i + 640. Let l(h) = -9*v(h) + 4*y(h). Factor l(t).
-3*(t - 27)*(t - 8)
Suppose 69*l + 378 = 132*l. Let t(p) be the first derivative of l + 2/9*p**3 - 1/2*p**2 + 1/4*p**4 - 2/3*p. Factor t(k).
(k - 1)*(k + 1)*(3*k + 2)/3
Solve -16/9 + 2/3*k**2 - 2/9*k**3 + 4/3*k = 0.
-2, 1, 4
Let v = 28558/8571 - -4/2857. Let k be 3*(-30)/(-15)*34/18. Let v*u**2 + 4 - k*u = 0. What is u?
2/5, 3
Suppose 0 = 4*f - 28, -12 = 13*o - 9*o - 4*f. Let q(l) be the second derivative of -3/50*l**5 - 2/5*l**3 + 0 + 0*l**2 - 28*l - 3/10*l**o. Factor q(b).
-6*b*(b + 1)*(b + 2)/5
Suppose -2986*n = -11324 + 2366. Factor 11/2*x**3 - x**2 + n*x**4 + 0*x + 0.
x**2*(x + 2)*(6*x - 1)/2
Let s(o) be the first derivative of -5*o**4/4 - 4130*o**3 - 3843990*o**2 - 15326440*o + 8921. Suppose s(a) = 0. Calculate a.
-1238, -2
Let s be (-1948)/(-36) - (-1)/(-9). Factor -1820 + 989 + s*n + 951 - 3*n**2.
-3*(n - 20)*(n + 2)
Let f(t) be the first derivative of -t**8/84 - 26*t**7/105 - 25*t**2/2 - 167. Let h(b) be the second derivative of f(b). Let h(x) = 0. What is x?
-13, 0
Find p, given that 1/8*p**4 + 7 - 5/4*p**3 - 57/8*p**2 + 5/4*p = 0.
-4, -1, 1, 14
Factor 10/9*j - 2/9*j**3 + 4/3 - 4/9*j**2.
-2*(j - 2)*(j + 1)*(j + 3)/9
Let w(g) = 6*g**3 - 745*g**2 - 1482*g - 705. Let a(i) = i**3 - 124*i**2 - 247*i - 118. Let b(h) = 39*a(h) - 6*w(h). Factor b(j).
3*(j - 124)*(j + 1)**2
Let c be (-2)/(7/21*(-15)/2). Let g = -4738 - -4740. Solve 4/5*l**2 - g*l + c = 0 for l.
1/2, 2
Let a be (9/2 + 1)*-128*(-36)/38016. Let a*x**2 + 1352/3 + 104/3*x = 0. What is x?
-26
Let i(u) be the first derivative of 392/3*u**3 + 11 + 3*u**4 + 2048*u + 1664*u**2. Determine n so that i(n) = 0.
-16, -2/3
Factor 23/3*y**3 + 103/3*y**2 - 1/3*y**4 + 18 + 133/3*y.
-(y - 27)*(y + 1)**2*(y + 2)/3
Let l(f) be the second derivative of -1/189*f**7 - 5/27*f**4 - 20*f + 0 - 7/9*f**3 + 1/15*f**5 + 1/45*f**6 - f**2. Factor l(y).
-2*(y - 3)**2*(y + 1)**3/9
Let k(d) = -5*d**4 - d**2 - 4. Let i(n) = -28*n**4 + 60*n**3 + 666*n**2 + 3332*n + 6150. Let u(z) = i(z) - 6*k(z). Factor u(y).
2*(y + 7)**3*(y + 9)
Suppose -154*c + 21 = -151*c. Let q(j) be the second derivative of 5/6*j**6 + 0 + 5/42*j**c - 18*j + 0*j**3 + 0*j**2 + 2*j**5 + 5/3*j**4. Solve q(a) = 0.
-2, -1, 0
Let p(z) = -z + 33. Suppose 10*m = 12*m + 2, 115 = 4*c + m. Let j be p(c). Solve -2*a - 4/5 - 6/5*a**2 + 2/5*a**3 + 2/5*a**j = 0 for a.
-1, 2
Factor -101*g**2 - 117/2 + 22*g**3 + 138*g - 1/2*g**4.
-(g - 39)*(g - 3)*(g - 1)**2/2
Factor -901*b**2 - 4424*b + 4416*b + 257*b**2.
-4*b*(161*b + 2)
Let a(d) be the second derivative of 1/18*d**5 + 0 + 5/54*d**4 - 162*d + 1/6*d**2 + 1/126*d**7 - 13/270*d**6 - 13/54*d**3. Solve a(r) = 0 for r.
-1, 1/3, 1, 3
Let j(u) be the third derivative of 2*u**7/105 - 7*u**6/15 - 31*u**5/15 - 8*u**4/3 - 263*u**2 - 10. Factor j(p).
4*p*(p - 16)*(p + 1)**2
Let o = -61811 - -187774/3. Let j = 781 - o. Determine v so that -2/3 - j*v**2 + 4/3*v = 0.
1
Let w be ((5 - -7) + (-1 - -2))/1. Suppose -5 - w*r - 16 - 3*r + 6 - r**2 = 0. What is r?
-15, -1
Let v be (-35)/((-630)/(-288)) - 363/(-22). Solve -x**3 + 1/2*x + v*x**5 + x**4 + 1 - 2*x**2 = 0 for x.
-2, -1, 1
Determine y, given that -2*y**4 - 21*y**3 + 6*y**3 + 3*y**3 + 4*y**2 - 14*y**2 + 24*y = 0.
-4, -3, 0, 1
Let r(t) = -t**2 + 16*t - 36. Let s be r(13). Solve -155 + s*k - 3*k**2 + 327 - 154 = 0.
-2, 3
Let c = -73386 + 73388. Factor -3/4*y**3 - 9/4*y + 0 - 3*y**c.
-3*y*(y + 1)*(y + 3)/4
Suppose 85 - 5 = 10*l. Factor 46*j + 20*j**2 - 4*j**3 + l*j**3 - 34*j - 36.
4*(j - 1)*(j + 3)**2
Let m(b) = 5*b - 1. Let n(u) = -u**2 + 2*u + 1. Let h = -716 - -717. Let d(v) = h*m(v) + n(v). Factor d(x).
-x*(x - 7)
Let u(h) be the second derivative of h**5/10 - 5*h**4/6 - 17*h**3/3 + 21*h**2 + 642*h. Factor u(f).
2*(f - 7)*(f - 1)*(f + 3)
Let f be (-1)/(-12) - (-4280)/480. Find g such that -2*g + f*g + 77*g**2 - 45 - 74*g**2 + g - 2*g = 0.
-5, 3
Let p(t) = -4*t**3 + 20*t**2 + 12*t - 4. Let o(u) = -u**3 + u**2 - 1. Let r(i) = -14*i - 71. Let n be r(-5). Let x(g) = n*p(g) + 8*o(g). What is b in x(b) = 0?
-1
Let y be (-4)/(-3)*21 - 2. Let v be y/10 - (1 + (-4)/10). Let 3*p - 2*p - p**v + 2*p - 6*p = 0. Calculate p.
-3, 0
Let o(s) be the third derivative of -1/80*s**6 + 107*s**2 - 9/80*s**5 + 0*s + 0 - 7/32*s**4 + 3/4*s**3. Factor o(f).
-3*(f + 2)*(f + 3)*(2*f - 1)/4
Let d be ((-5)/70)/(5 - (-304)/(-56)). Let q(i) be the first derivative of -1/30*i**5 + 1/12*i**4 + 17 + 2/9*i**3 - d*i**2 - 1/2*i. Let q(j) = 0. Calculate j.
-1, 1, 3
Let g be (-10)/(-1) + ((560/21)/16 - (-435)/(-45)). Solve 441/4*o + 81*o**3 + 0 - 27/2*o**4 - 357/2*o**g + 3/4*o**5 = 0.
0, 1, 3, 7
Let i(n) be the second derivative of -4*n**7/7 + 134*n**6/15 - 37*n**5 + 35*n**4/3 + 502*n**3/3 - 84*n**2 + 2313*n. Solve i(u) = 0 for u.
-1, 1/6, 2, 3, 7
Let n be (-14)/49 + 3133/10010. Let g(z) be the third derivative of -n*z**5 + 0*z + 19*z**2 + 0 - 1/66*z**4 + 0*z**3. Factor g(b).
-2*b*(9*b + 2)/11
Let z(j) = -3*j**2 - 13*j**2 + 0 - 4*j**2 + 11*j**2 - 17*j - 3. Let d(o) = 2*o**2 - 3. Let p(f) = -5*d(f) - z(f). Factor p(t).
-(t - 18)*(t + 1)
Let q(b) = b**3 + 6*b**2 + 3*b. Let k be q(-6). Let o = -2 - k. Factor 12*d - 2*d**2 + 4*d + 2*d**4 - o*d.
2*d**2*(d - 1)*(d + 1)
Let t(u) = -2*u**3 + 123*u**2 - 543*u + 3. Let m(w) = -9*w**3 + 616*w**2 - 2716*w + 16. Let l(s) = 3*m(s) - 16*t(s). Let l(y) = 0. Calculate y.
0, 6, 18
Let l(o) be the second derivative of -o**7/1260 + o**6/80 - o**5/45 - 25*o**2/2 + 53*o. Let v(i) be the first derivative of l(i). Solve v(p) = 0 for p.
0, 1, 8
Let a(k) be the third derivative of k**7/735 + k**6/84 - 9*k**5/70 - 9*k**4/4 - 90*k**3/7 - 3*k**2 - 1448*k. Determine x so that a(x) = 0.
-5, -3, 6
Let f(p) = -7*p + 6. Let d be f(-10). Let y = 78 - d. Factor 2210*t**3 + 5 - 11*t + 0 - 2211*t**3 + 7*t**y.
-(t - 5)*(t - 1)**2
Let u be 64/14 - 2 - (-135)/(-54). Let y(q) be the third derivative of 1/490*q**7 + 0*q - 1/70*q**6 + 7*q**2 + 0 + 1/14*q**3 - u*q**4 + 3/70*q**5. Factor y(l).
3*(l - 1)**4/7
Suppose 12*k = 7 + 89. Factor 2*q**5 + 163*q**3 + 16*q**4 - k*q**2 - 159*q**3 - 14*q**5.
-4*q**2*(q - 1)**2*(3*q + 2)
Let z = -10183 + 10183. Let u(h) be the second derivative of -4*h - 1/4*h**2 + z + 1/12*h**3 + 1/24*h**4 - 1/40*h**5. Suppose u(w) = 0. What is w?
-1, 1
Suppose 0 = -79*n - 50181 + 50339. Factor -2/19*r + 0 + 2/19*r**5 + 4/19*r**n - 4/19*r**4 + 0*r**3.
2*r*(r - 1)**3*(r + 1)/19
Let n = -51557680/1397 + 36906. Let u = 12565/5588 + n. Solve -1 - 3*j - u*j**2 = 0.
-2/3
Let d(m) be the first derivative of -5*m**3/3 - 75*m**2 - 1120*m + 218. Factor d(u).
-5*(u + 14)*(u + 16)
Suppose 578 = 6*o + 11*o. Determine l so that 15 + 21*l + 9*l - 29 - 5*l**2 + 3 - o = 0.
3
Let s(d) be the second derivative of -2/9*d**3 + 8*d - 6 - 1/18*d**4 + d**2. Factor s(p).
-2*(p - 1)*(p + 3)/3
Let t(o) = 6 + 220*o**2 - 4*o**4 + 508*o**2 - 94*o + 88*o - 82*o**3. Let f(s) = s**4 + s**3 - s**2 + s - 1. Let m(p) = 6*f(p) + t(p). Factor m(y).
2*y**2*(y - 19)**2
Find f, given that -13/4*f**3 - 109*f - 48 - 1/4*f**5 - 69*f**2 + 9/2*f**4 = 0.
-2, -1, 6, 16
Let j be (((-13)/1)/(-22204))/(6/16). Let u = j + 4268/1281. Suppose 35/3*x**3 - 5/3*x**5 + 0 + u*x**4 + 20/3*x**2 + 0*x = 0. What is x?
-1, 0, 4
Let g(t) be the second derivative of 1/21*t**6 - t + 95 - 2/21*t**4 - 1/147*t**7 - 3/35*t**5 + 8/21*t**3 + 0*t**2. Let g(q) = 0. Calculate q.
-1, 0, 2
Let v be (((-90)/(-24))/(-3))/(4/(-16)). Suppose -2*n - 196*b + 197*b + v = 0, 0 = 2*b + 10. Find u, given that n*u + 0 - 1/3*u**2 = 0.
0
Let b(u) be the first derivative of u**6/10 - 9*u**5/5 - 27*u**4/4 - 7*u**3 + 18*u + 16. Let x(d) be the first derivative