35/2*r - q*r**2 = 0?
1, 22
Let z(o) = 8*o**3 - 16*o**2. Let h(f) be the second derivative of -7/20*f**5 + 4/3*f**4 + 0*f**2 + 0 + 42*f + 0*f**3. Let p(k) = -4*h(k) - 3*z(k). Factor p(w).
4*w**2*(w - 4)
Let x(p) be the second derivative of -p**7/147 + 11*p**6/15 - 297*p**5/70 + 367*p**4/42 - 146*p**3/21 + 734*p. Find f such that x(f) = 0.
0, 1, 2, 73
Factor -6*u + 1/4*u**2 + 20.
(u - 20)*(u - 4)/4
Suppose 35*g - 57 - 71 = -128. Find b such that -2*b**5 + 0*b**2 + g*b + 0 - 12/5*b**3 + 34/5*b**4 = 0.
0, 2/5, 3
Let l(k) be the second derivative of -k**5/100 + 91*k**4/60 - 173*k**3/10 + 153*k**2/2 + 10*k + 5. Factor l(m).
-(m - 85)*(m - 3)**2/5
Let k(r) be the first derivative of -r**5/5 - 6*r**4 - 15*r**3 - 11*r**2 - 951. Factor k(y).
-y*(y + 1)**2*(y + 22)
Let i(r) = r**2 + 11*r - 5. Let s(z) = z**2 - 2*z - 8*z + 9*z**2 - 19*z**2 + 7*z**2 + 6. Let u(j) = -6*i(j) - 5*s(j). Find y such that u(y) = 0.
0, 4
Let o(l) = 2*l + 1. Let b(g) = -5*g**2 - 870*g - 39595. Let t(q) = -q**2 + 8*q - 10. Let v be t(8). Let m(c) = v*o(c) + b(c). Factor m(i).
-5*(i + 89)**2
Let l = 46559/2379711 + 2/46661. Let r(k) be the third derivative of l*k**4 + 0*k + 0 - 35*k**2 - 1/510*k**5 - 4/51*k**3. Solve r(c) = 0 for c.
2
Suppose -326 = -43*t + 32569. Let j be (20/(-8))/(t/(-68)). Suppose 2/9*g**2 + j*g - 4/9 = 0. Calculate g.
-2, 1
Factor -1688/9 + 1258/9*y + 2/9*y**3 + 428/9*y**2.
2*(y - 1)*(y + 4)*(y + 211)/9
Factor -1083/5*m**2 - 390963/5*m - 1/5*m**3 - 47045881/5.
-(m + 361)**3/5
Suppose 22 = 4*b + 6. Suppose 5*o = b*o + 2*q + 2, 3*q = -5*o + 10. Solve 613*c**3 + c**5 + 2*c**5 + 3*c**o + 9*c**4 - 604*c**3 = 0 for c.
-1, 0
Let k = 1180707 + -1180705. Let s = 860 - 6853/8. Solve -s*u**k - 9/4 + 87/8*u = 0 for u.
2/9, 3
Let o(c) be the first derivative of -2*c**7/105 + 17*c**5/15 + 6*c**4 + 40*c**3/3 - c**2/2 - 13*c - 43. Let w(p) be the second derivative of o(p). Factor w(m).
-4*(m - 5)*(m + 1)*(m + 2)**2
Let t(v) be the first derivative of -3*v**5/20 - 15*v**4/8 - 23*v**3/4 + 15*v**2/4 + 18*v - 1268. Let t(k) = 0. Calculate k.
-6, -4, -1, 1
Let m(f) be the second derivative of -f**4/12 + 13*f**3/2 - 85*f**2 - 765*f + 1. Determine q so that m(q) = 0.
5, 34
Let n(g) = 2*g**3 - g**2 + 4. Let h(l) = 9*l**3 - 332*l**2 - 675*l - 332. Let q(s) = -h(s) + 2*n(s). Factor q(x).
-5*(x - 68)*(x + 1)**2
Let 40/3*o**4 - 2048/3*o + 36*o**3 + 1024 - 4/3*o**5 - 1168/3*o**2 = 0. Calculate o.
-4, -3, 1, 8
Let r = 0 + 2. Let f(n) = 2*n**3 - n**2 + 3*n + 10. Let p be f(0). Factor -23*l**2 + p*l - 31*l**2 + 66*l**2 + r*l**3.
2*l*(l + 1)*(l + 5)
Solve -2/21*w**2 + 0 + 3190/21*w = 0 for w.
0, 1595
Let g(v) be the first derivative of 9 - 11*v - 5/8*v**3 - 75/16*v**2 - 1/32*v**4. Let b(o) be the first derivative of g(o). Factor b(q).
-3*(q + 5)**2/8
Suppose -5*m + 16 = -14. Let d be -5*(2/m)/((-9)/27). Determine k so that -8*k**3 - 8*k + 3 - 12*k**2 - 4*k**4 + 0*k**3 - d + 2*k**4 = 0.
-1
Let b be ((-24)/(-27))/(5/(-20)*(-16)/3). Find t, given that 0 + 0*t - b*t**2 - 2/3*t**5 - 2*t**3 - 2*t**4 = 0.
-1, 0
Let h(g) be the third derivative of g**7/735 + 3*g**6/70 + 39*g**5/70 + 27*g**4/7 + 108*g**3/7 + 29*g**2 + 8*g. Let h(c) = 0. Calculate c.
-6, -3
Let g(j) be the first derivative of -j**7/2940 + j**6/1260 + 8*j**3/3 - 10. Let y(w) be the third derivative of g(w). Factor y(l).
-2*l**2*(l - 1)/7
Let g = -1857119/60 + 30952. Let r(b) be the third derivative of 0*b**4 + 0 + 1/168*b**8 + 0*b - 1/10*b**5 + 5*b**2 + 0*b**3 + 1/35*b**7 - g*b**6. Factor r(h).
2*h**2*(h - 1)*(h + 1)*(h + 3)
Suppose 244*d + 4/5*d**2 + 0 = 0. Calculate d.
-305, 0
Let x(d) be the second derivative of 23/27*d**3 - 41*d + 1/90*d**5 - 10/9*d**2 + 1/135*d**6 + 0 - 5/18*d**4. Factor x(k).
2*(k - 2)*(k - 1)**2*(k + 5)/9
Let z(a) be the third derivative of -a**7/42 + 3*a**6/4 - 25*a**5/12 - 45*a**4/2 - 160*a**3/3 + 4027*a**2. Factor z(b).
-5*(b - 16)*(b - 4)*(b + 1)**2
Let p(y) = y + 22. Suppose -i - 4*i + 5 = -5*a, 0 = 4*i + 5*a - 40. Let r be p(i). Factor 5*n**3 - n**3 - 37*n**2 + r*n + 55*n**2 - n**3.
3*n*(n + 3)**2
Let s(a) = -a**3 + 5*a**2 - 9*a + 5. Let y be s(3). Let b be -2 - -2 - 16/y. What is d in 0*d**2 + b*d**2 - 2*d**2 = 0?
0
Let c(a) = 2*a**3 + a**2 - 10*a - 1. Let k(h) = -46*h**2 - 136*h - 74. Let g(u) = 2*c(u) - k(u). What is x in g(x) = 0?
-9, -2, -1
Let z(a) be the third derivative of a**5/210 - 17*a**4/21 - 71*a**3/7 + 1810*a**2. Factor z(i).
2*(i - 71)*(i + 3)/7
Let c(s) be the third derivative of -5*s**8/336 - 64*s**7/21 - 231*s**6 - 7056*s**5 - 30870*s**4 - 5*s**2 - 66*s. Suppose c(o) = 0. What is o?
-42, -2, 0
Let k(x) = 2*x**2 + 4*x - 2. Let m be k(-3). Find g such that -2 + 0 + g**3 + 6 + 5*g**2 + 4*g + m*g = 0.
-2, -1
What is i in 312/5 + 1794/5*i**2 + 14/5*i**4 - 1358/5*i - 762/5*i**3 = 0?
3/7, 1, 52
Let k = -196859/386 + 510. Let j = k - -769/1158. Let -8/9 + j*z + 2/9*z**2 = 0. Calculate z.
-4, 1
What is v in 1549610*v - 11*v**3 + 10*v**3 + 3966822287 + 4749*v**2 - 8039322*v - 1027955*v = 0?
1583
Let l be (-7980)/105 + 72 + (1 - -35)*(-2)/(-15). Solve l + 18/5*j**2 - 14/5*j + 2/5*j**4 - 2*j**3 = 0 for j.
1, 2
Let s(f) be the first derivative of 7*f**5/5 - 99*f**4/4 + 96*f**3 + 22*f**2 - 240*f - 10445. Find j such that s(j) = 0.
-6/7, 1, 4, 10
Let g(f) = -7*f**2 + 14*f + 6. Let d(o) = -3*o**2 + 6*o + 3. Suppose -35*x - 42 = -56*x. Let r(a) = x*g(a) - 5*d(a). Let r(j) = 0. Calculate j.
-1, 3
Let y(x) = 7*x - 20 - 5*x + 2*x. Let c be y(8). Factor 8*u**2 + c*u + 342 - 342 - 4*u**3.
-4*u*(u - 3)*(u + 1)
Let d = 12046 - 722759/60. Let p(s) be the third derivative of 0*s + d*s**5 + 0*s**4 + 1/210*s**7 - 1/60*s**6 + 0 + 0*s**3 - 27*s**2. Factor p(y).
y**2*(y - 1)**2
Let f(t) be the first derivative of 2*t**3/3 - 3150*t**2 + 10215. Factor f(l).
2*l*(l - 3150)
Factor 2/5*h**3 - 58/5*h - 108/5 + 52/5*h**2.
2*(h - 2)*(h + 1)*(h + 27)/5
Let n(c) = 4*c**2 + 2*c - 2. Suppose 5*j - 5*l = -35, -5*l = -3*j - 40 + 9. Let m(u) = -5*u**2 - 4*u + 3. Let p(x) = j*m(x) - 3*n(x). Solve p(s) = 0 for s.
0, 1
Let z(h) = -h**3 - h**2 + 1. Let u(a) = -12*a**3 - 96*a**2 + 400*a + 16. Suppose -11*x = -19 + 8. Let r(s) = x*u(s) - 16*z(s). Factor r(g).
4*g*(g - 10)**2
Suppose -u + 0*u - 195 = -5*r, -4*u - 780 = -4*r. Let z = u + 590/3. Solve 35/3*l**3 + z*l**2 - 35/3*l - 5/3 = 0 for l.
-1, -1/7, 1
Let k be (-1*1)/(16 + (-43 - -25)). Let v(x) be the second derivative of 1/12*x**4 - 3*x + x**2 - k*x**3 + 0. Find q such that v(q) = 0.
1, 2
Let c be ((2/(-30))/(1/3))/((-14)/280). Let z(p) be the first derivative of -1/8*p**c + 9 - 7/6*p**3 + 0*p**2 + 0*p. Suppose z(x) = 0. Calculate x.
-7, 0
Let o be (2366/(-12))/(2/(-6))*2. Let j = o - 1161. Find b, given that -j - 2/11*b**2 - 4*b = 0.
-11
Factor -2*n**4 - 1207*n**3 - 16*n**2 + 7*n**4 + 1263*n**3 - 42*n**2 + 10*n**2.
n**2*(n + 12)*(5*n - 4)
Let l(h) be the first derivative of 25/12*h**4 + 5/3*h**3 + 0*h**2 + 1/6*h**6 + h**5 - 21*h - 2. Let j(u) be the first derivative of l(u). Factor j(b).
5*b*(b + 1)**2*(b + 2)
Let p be (-755)/6040*(1 - 1). Let -6/7*l**3 + p + 2/7*l**5 - 6/7*l**4 + 12/7*l + 2*l**2 = 0. Calculate l.
-1, 0, 2, 3
Suppose 9 + 0 = -3*i, 2*q - 15 = i. Factor 93 - 48 + 4*k**3 - 24*k**2 + 22*k + q*k**3 - k**4 - 52.
-(k - 7)*(k - 1)**3
Let t(m) be the third derivative of m**6/360 + m**5/40 + 17*m**3/6 - 42*m**2. Let r(y) be the first derivative of t(y). Suppose r(w) = 0. What is w?
-3, 0
Factor -70*c**4 - 4360*c**3 - 59*c**2 - 3554*c**3 + 329*c**2 + 9159*c**3.
-5*c**2*(c - 18)*(14*c + 3)
Suppose 4787344 + 6145*i**2 + 1208154*i + 11360*i**2 - 4*i**3 + 1503079*i - 4278740*i - 17586245*i = 0. Calculate i.
1/4, 2188
Let d be ((-14)/6 - 2)/((-19490)/263115). Factor 3/2*z**2 - 15*z - d.
3*(z - 13)*(z + 3)/2
Let z(s) be the second derivative of -s**5/130 + s**4/39 + 64*s**3/39 - 128*s**2/13 - 350*s. Factor z(p).
-2*(p - 8)*(p - 2)*(p + 8)/13
Let q(j) = 6*j + j - 4*j + 23. Let g be q(-7). Solve 15*t**3 - 2*t**2 + 2*t**g + 3*t**5 - 1067*t**4 + 1049*t**4 = 0 for t.
0, 1, 5
Let w be 22/(-88)*(1 + 1)*-12. Let m(i) be the first derivative of -12*i**3 - 6*i**2 - 1/2*i**w - 39/4*i**4 + 0*i + 5 - 18/5*i**5. Suppose m(a) = 0. What is a?
-2, -1, 0
Let o = 62878/3 + -20957. Let x(i) be the first derivative of -18 - 1/2*i + 9/4*i**2 - o*i**3. Factor x(r).
-(2*r - 1)*(7*r - 1)/2
Let t(f) be the