d) be the first derivative of i(d). Solve h(l) = 0.
-2, 1
Suppose 42*l + 117 = 81*l. What is o in -2/3*o + 2/3*o**4 - 2*o**2 + 2/3*o**l + 4/3 = 0?
-2, -1, 1
Let b(v) = 3*v - 30. Let x be b(14). Let w be 16/x + 4/6. Factor -31*z**2 + 3*z**3 + 7*z**w + 9*z + 6 + 6*z**3.
3*(z - 2)*(z - 1)*(3*z + 1)
Let i(n) be the first derivative of -1/6*n**4 - 11/18*n**2 + 14/27*n**3 + 1/54*n**6 - 1/45*n**5 + 1/3*n - 25. Factor i(u).
(u - 1)**4*(u + 3)/9
Let l be (((-224)/24)/7)/(20/(-234)). Let z(o) be the first derivative of -3*o**6 + 1 - 24*o**2 + 38*o**3 + l*o**5 - 67/2*o**4 + 8*o. Factor z(j).
-2*(j - 1)**3*(3*j - 2)**2
Let q(i) be the first derivative of 5*i**4/2 + 8*i**3/3 - i**2 + 63. Suppose q(f) = 0. What is f?
-1, 0, 1/5
Let s(i) be the second derivative of 0 + 0*i**5 + 14*i + 1/120*i**4 + 0*i**3 + 0*i**2 - 1/300*i**6. Let s(a) = 0. Calculate a.
-1, 0, 1
Let r(b) = 307*b - 1225. Let d be r(4). Factor 5/7*l**4 + 0*l + 1/7*l**2 + 0 + 6/7*l**d.
l**2*(l + 1)*(5*l + 1)/7
Let i(n) be the first derivative of 0*n**4 + 1/4*n**3 + 0*n + 1 - 1/40*n**5 + 4*n**2. Let c(a) be the second derivative of i(a). Factor c(f).
-3*(f - 1)*(f + 1)/2
Let z(m) = 5*m - 28. Let i be z(6). Suppose -3 = j - 2*u, u + 4*u = 2*j + 9. Suppose -3/2*s**4 + 0 + 0*s + 0*s**j + 3/2*s**i = 0. What is s?
-1, 0, 1
Let u(j) be the first derivative of -11 + 0*j + 5*j**2 + 5/3*j**3. Factor u(k).
5*k*(k + 2)
Suppose -29*s = -24*s - 15. Factor -n**s - 104*n + 196*n + 4 - 101*n + 6*n**2.
-(n - 4)*(n - 1)**2
Let h(s) = -2*s + 34. Let j be h(-4). Let p be -1 + 216/j - 4. Factor 2/7*c**2 - 1/7*c**4 + 0*c + 0 + p*c**3.
-c**2*(c - 2)*(c + 1)/7
Let d(f) = 20*f - 138. Let h be d(7). Find a, given that -4/3*a**4 - 16/3 + 28/3*a**3 + 52/3*a - 20*a**h = 0.
1, 4
Suppose -9*c + 2 - 18*c + 8*c + 9*c**2 + 8*c**2 = 0. What is c?
2/17, 1
Factor 2/9*f**2 + 8/3 - 14/9*f.
2*(f - 4)*(f - 3)/9
Let d(h) be the first derivative of h**6/360 - h**4/24 - 11*h**3/3 - 16. Let n(g) be the third derivative of d(g). Find w such that n(w) = 0.
-1, 1
Let -2*r**3 - 24*r**2 + 114*r**2 - 55*r**3 = 0. What is r?
0, 30/19
Factor 102*o**3 - 54*o**4 - 176/3*o**2 + 0 + 32/3*o.
-2*o*(o - 1)*(9*o - 4)**2/3
Suppose -4 = -0*h - h. Let f(u) be the third derivative of 0*u - 1/90*u**5 + 0 - u**3 + 1/6*u**h - 3*u**2. Factor f(z).
-2*(z - 3)**2/3
Let b(y) = 4*y**3 - 8*y**2 - 15*y + 14. Let k(w) = -3*w**3 + 9*w**2 + 14*w - 16. Let a(f) = 4*b(f) + 5*k(f). Factor a(h).
(h - 1)*(h + 2)*(h + 12)
Let j(i) be the first derivative of -3*i**4/2 + 8*i**3/3 - i**2 + 5*i - 9. Let p(f) = -f**3 + f**2 + 1. Let d(k) = j(k) - 5*p(k). Factor d(w).
-w*(w - 2)*(w - 1)
Suppose -23*g + 25*g = 4. Let q(p) be the second derivative of -1/2*p**3 + 0 + 3/20*p**5 + 1/10*p**6 - 7*p - 1/4*p**4 + 0*p**g. Factor q(x).
3*x*(x - 1)*(x + 1)**2
Let 33/2*p**2 + 7 + 37/2*p + 1/2*p**4 + 11/2*p**3 = 0. Calculate p.
-7, -2, -1
Let 8/3 + 8/3*m**2 - 4/9*m**3 - 44/9*m = 0. What is m?
1, 2, 3
Let z(f) = f**3 + 12*f + 15. Let m be z(-1). Factor 0 - 1/5*a**m + 0*a.
-a**2/5
Factor -15*b + 6*b - 4*b**2 + 29 + 2*b**2 + 29*b - 7.
-2*(b - 11)*(b + 1)
Let h(p) be the second derivative of -p**5 - 5*p**3 - 28*p + 1/6*p**6 + 0*p**2 + 0 - 55/12*p**4. What is g in h(g) = 0?
-1, 0, 6
Let b = 198 + -115. Factor 3*l - 3*l**3 + 3*l**4 - b*l**2 + 80*l**2 + 0*l.
3*l*(l - 1)**2*(l + 1)
Let j(p) = -p**2 + 4*p + 1. Let s(w) = 4*w**3 - 8*w**2 - 20*w + 8. Let d(f) = -4*j(f) - s(f). Let d(x) = 0. Calculate x.
-1, 1, 3
Let y(m) = -m. Let a(q) = -2*q - 3. Let u(i) = -a(i) - 6*y(i). Let b be u(0). Factor 0*t - 2/5*t**b + 0*t**2 + 0*t**4 + 2/5*t**5 + 0.
2*t**3*(t - 1)*(t + 1)/5
Factor -12*q - 16*q - 10 + 3*q**2 - q.
(q - 10)*(3*q + 1)
Let p(r) be the second derivative of r**10/136080 - r**8/30240 + 11*r**4/12 + 41*r. Let f(x) be the third derivative of p(x). Factor f(k).
2*k**3*(k - 1)*(k + 1)/9
Let y(c) be the second derivative of 7*c**4/4 - 22*c**3 - 174*c**2 + 1004*c. Factor y(m).
3*(m + 2)*(7*m - 58)
Factor -20/9*n + 16/3 + 2/9*n**2.
2*(n - 6)*(n - 4)/9
Suppose -4 - 4 = -4*b. Suppose -5*s + 2 = -4*s. What is j in 13 + s*j**2 - 4 + 15*j + 3*j**2 - 2*j**b - 3*j**3 = 0?
-1, 3
Solve -4*q**2 + 8590 + 744*q + 778*q - 34*q - 146974 = 0.
186
Suppose -4/7*b**5 - 36/7*b + 0 + 48/7*b**2 - 16/7*b**4 + 8/7*b**3 = 0. Calculate b.
-3, 0, 1
Let b(f) be the third derivative of -f**6/540 - 7*f**5/135 + 31*f**4/108 - 16*f**3/27 - 25*f**2 - 2. Solve b(m) = 0.
-16, 1
Let y(w) be the first derivative of -w**5/30 + 7*w**4/24 + w**3/6 - 21*w**2/4 + 9*w - 48. What is g in y(g) = 0?
-3, 1, 3, 6
Let j = -41 + 45. Let k be (-2)/(-8) - 104/(-96). Factor 2*m**3 + 0 + 0*m - 2/3*m**j - k*m**2.
-2*m**2*(m - 2)*(m - 1)/3
Let 0 - 67/3*n**3 - 4/3*n**5 - 29/3*n**4 - 3*n - 17*n**2 = 0. Calculate n.
-3, -1, -1/4, 0
Suppose -g + 4 = 1. Let k be g/((-9)/3 - -4). Factor -9/4*t**4 + 0 + k*t**2 + 0*t + 0*t**3 + 3/4*t**5.
3*t**2*(t - 2)**2*(t + 1)/4
Let q(j) = j**2 - j + 1. Let c(m) = 13 - 18 - 13*m**2 - 5*m + 8 - 14*m - 4*m**3. Let l(d) = -c(d) + 3*q(d). Factor l(o).
4*o*(o + 2)**2
Suppose 3*a - i = -0*i + 21, a = 5*i + 21. Factor -8*f - 9*f**2 + 12*f**2 + f - a.
(f - 3)*(3*f + 2)
Let q(w) be the third derivative of -w**7/490 + 23*w**6/280 - 9*w**5/20 + 61*w**4/56 - 10*w**3/7 - w**2 + 59*w. Factor q(u).
-3*(u - 20)*(u - 1)**3/7
Let v(c) be the second derivative of c**5/170 - c**4/102 - 8*c**3/51 + 12*c**2/17 - 124*c - 3. Factor v(z).
2*(z - 2)**2*(z + 3)/17
Let y(r) be the third derivative of 14*r**2 + 0*r + 0 + 4*r**3 + 1/20*r**5 + 3/4*r**4. Let y(d) = 0. What is d?
-4, -2
Let k(g) be the third derivative of -1/480*g**6 + 3*g**2 - 5 + 243/8*g**3 + 9/80*g**5 + 0*g - 81/32*g**4. Solve k(q) = 0.
9
Let s(y) = -2*y**3 - y**2 - 1. Let w(l) = 25*l**3 + 5*l + 10. Let g(u) = -10*s(u) - w(u). Factor g(d).
-5*d*(d - 1)**2
Suppose 3*n - 10 - 14 = 4*k, n - 23 = 3*k. Let b be (-2 - -2) + (k - -9). Factor -2*r**2 - 2/3*r**3 - 4/3*r + b.
-2*r*(r + 1)*(r + 2)/3
Factor 11/4*u**3 - 11/4*u - 1/2 + 9/4*u**4 - 7/4*u**2.
(u - 1)*(u + 1)**2*(9*u + 2)/4
Let u = -3205 + 3205. Factor 1/4*z**3 + u + 1/2*z**4 + 0*z + 0*z**2 + 1/4*z**5.
z**3*(z + 1)**2/4
Let z = 19857/16 - 1241. Let d(q) be the second derivative of -7/24*q**3 - z*q**5 - 1/8*q**2 + 0 - 11/48*q**4 - 3*q. Factor d(c).
-(c + 1)**2*(5*c + 1)/4
Let m(a) be the third derivative of -a**5/60 + a**4/6 + 5*a**3/6 + 171*a**2. Factor m(y).
-(y - 5)*(y + 1)
Let w(h) be the second derivative of -h**6/45 + h**5/6 + 4*h**4/9 - 4*h**3/3 - 458*h. Find p such that w(p) = 0.
-2, 0, 1, 6
Let l = -10 + 15. Let w(r) = l*r + 2*r**2 + 3 - 2*r**2 - r**2 + 0. Let x(c) = -2*c**2 + 16*c + 10. Let m(h) = -8*w(h) + 3*x(h). Factor m(p).
2*(p + 1)*(p + 3)
Let z(r) = 11*r**5 + 49*r**4 + 72*r**3 + 17*r + 17. Let l(j) = -2*j**5 - 8*j**4 - 12*j**3 - 3*j - 3. Let f(o) = 34*l(o) + 6*z(o). Solve f(i) = 0 for i.
-1, 0, 12
Suppose s - 79 = -3*h - 0*h, 116 = 4*h - 4*s. Let a = -14 + h. Factor 3 + 5*l**2 - 3*l - 9*l**3 - 7*l**4 - 1 - l + a*l.
-(l - 1)*(l + 1)**2*(7*l + 2)
Let f = -36727/5 - -7349. Factor 2/5 + f*h - 10*h**3 + 6*h**2.
-2*(h - 1)*(5*h + 1)**2/5
Let u(v) = -v**3 + v**2 - 10*v - 6. Let s = -12 + 13. Let l(z) = z**3 - z**2. Let n(k) = s*u(k) + 3*l(k). Factor n(p).
2*(p - 3)*(p + 1)**2
What is y in -24 + 95*y - 2*y**2 + y**3 - 19 - 10 - 22 - 19*y**2 = 0?
1, 5, 15
Let p(r) be the third derivative of r**6/240 - 13*r**5/48 + 47*r**4/48 - 31*r**3/24 + 71*r**2 + 2. Find z, given that p(z) = 0.
1/2, 1, 31
Let p(i) = 18*i**2 + 637*i - 635. Let b(j) = 28*j**2 + 956*j - 952. Let v(f) = -5*b(f) + 8*p(f). Suppose v(s) = 0. What is s?
-80, 1
Determine q, given that 3/5*q**4 - 3 - 6/5*q**3 - 36/5*q**2 - 42/5*q = 0.
-1, 5
Factor -7/4*a**3 + 0 + 0*a - 1/4*a**2.
-a**2*(7*a + 1)/4
Determine b so that 0 + 1/4*b - 1/12*b**2 = 0.
0, 3
Let w be (7/(-35))/((-10)/150). Let p(f) be the first derivative of 8/3*f**w - 4 + 0*f + f**2. Solve p(j) = 0.
-1/4, 0
Let q = -1 + 11/5. Let a(m) be the second derivative of m**2 + 0*m**3 + 4*m + 0 - 13/6*m**4 - q*m**5. Find t such that a(t) = 0.
-1, -1/3, 1/4
Factor -33*j**3 + 3*j**3 + 1879*j**4 + 5*j**5 - 1874*j**4.
5*j**3*(j - 2)*(j + 3)
Let z be (80 - 84)*(1/4)/((-14)/8). Factor 0*m**3 + 2/7*m**4 - 6/7*m**2 - z*m + 0.
2*m*(m - 2)*(m + 1)**2/7
Let f be 2/10*(-9125)/300. Let v = f + 19/3. Factor 0 + 0*u + 3/8*u**3 + 1/8*u**4 + v*u**2