+ r + 3*q + 1/4*q**3.
(q + 2)**3/4
Let c(f) be the first derivative of -7*f**4/2 + 4*f**3/3 + 28*f**2 - 16*f - 25. Solve c(z) = 0 for z.
-2, 2/7, 2
Let q(i) be the first derivative of -i**3/21 + i**2 - 24*i/7 + 50. Factor q(y).
-(y - 12)*(y - 2)/7
Let m(g) be the first derivative of -g**4/10 - 44*g**3/15 - 41*g**2/5 - 8*g + 677. What is k in m(k) = 0?
-20, -1
Let u(m) be the first derivative of 0*m**2 + 2/7*m**3 + 14 + 11/28*m**4 - 12/35*m**5 + 0*m - 5/42*m**6. Find i, given that u(i) = 0.
-3, -2/5, 0, 1
Let g(j) be the second derivative of 10*j**2 - 5/2*j**3 - 15*j + 0 - 5/12*j**4. Factor g(s).
-5*(s - 1)*(s + 4)
Factor 2/3*p + 2/15*p**2 - 4/5.
2*(p - 1)*(p + 6)/15
Let z(t) be the second derivative of -3*t - 4/15*t**3 - 3/25*t**5 - 1/10*t**2 - 19/60*t**4 + 0. Factor z(y).
-(y + 1)*(3*y + 1)*(4*y + 1)/5
Let q(l) be the third derivative of -l**8/336 - l**7/70 + l**6/120 + l**5/20 + 76*l**2. Factor q(h).
-h**2*(h - 1)*(h + 1)*(h + 3)
Suppose 0 = 6*o + 48*o - 162. Let q(p) = 2*p - 6. Let b be q(4). Suppose -9/4*n**4 - 3/4*n**5 - 3/4*n**b - 9/4*n**o + 0 + 0*n = 0. What is n?
-1, 0
Factor -51*j**3 - 7*j**4 + 24*j - 11*j**4 + 12*j**4 - 21*j**2 - 1 + 1.
-3*j*(j + 1)*(j + 8)*(2*j - 1)
Let y(s) = s**2 - s - 1. Suppose 9*v + 6 = 6*v. Let j(n) = -n**2 - 7*n + 2. Let w(m) = v*y(m) - j(m). Suppose w(d) = 0. What is d?
0, 9
Suppose -112 = 2*q - 6*q. Factor -5 + 7*j + 20*j**3 - q*j**2 + 5 + j.
4*j*(j - 1)*(5*j - 2)
Let p(x) be the third derivative of 0 - 10*x**2 + 5/108*x**4 - 2/135*x**5 - 2/27*x**3 + 1/540*x**6 + 0*x. Let p(v) = 0. What is v?
1, 2
Determine n, given that -422/9*n**2 - 28/9 - 56/9*n**3 - 214/9*n = 0.
-7, -2/7, -1/4
Suppose 4*m - 33 = -9. Suppose 0 = m*v + 2*v - 32. Solve -80*c**2 - 66*c**4 - 10*c + 23*c**3 - 34*c**v + 75*c**2 + 92*c**3 = 0 for c.
-1/4, 0, 2/5, 1
Let r = 3013/10619 - -3/1517. Factor 0 - 2/21*k**3 - 4/21*k + r*k**2.
-2*k*(k - 2)*(k - 1)/21
Let k(i) be the second derivative of -i**4/90 - 4*i**3/45 - i**2/5 - 44*i. Suppose k(p) = 0. What is p?
-3, -1
Let d(a) be the first derivative of -a**5/15 + 2*a**3/3 + 4*a**2/3 + a - 82. Solve d(n) = 0 for n.
-1, 3
Suppose -17*u - 37 = -88. Let l(j) be the second derivative of 0*j**2 + 0 - 2*j - 1/6*j**4 - 2/3*j**u. Find n, given that l(n) = 0.
-2, 0
Let r(f) be the first derivative of -3 - 5/3*f**3 + 5/4*f**4 - 5/2*f**2 + 5*f. Factor r(j).
5*(j - 1)**2*(j + 1)
Let i(f) be the second derivative of -5*f**4/48 - 275*f**3/24 + 35*f**2 - 64*f + 1. Determine b, given that i(b) = 0.
-56, 1
Let t be -40 + -17 - -1*(2 + -2). Let b = -113/2 - t. Let -5/2*g**2 + 7/2*g - 3/2 + b*g**3 = 0. What is g?
1, 3
Let a(v) = -4*v**2 + 184*v - 2110. Let c(x) = -4*x**2 + 184*x - 2112. Let o(r) = -2*a(r) + 3*c(r). Find k, given that o(k) = 0.
23
Let m(r) = -2*r**2 - 4*r - 2. Let s be m(-1). Suppose -3*b + 10 = -s*n + 4*n, 5*n + 3 = 4*b. Factor -3/2*d + 1/4*d**b + 9/4.
(d - 3)**2/4
Factor 12/5*t**3 + 236/5*t**2 - 88/5*t - 32.
4*(t - 1)*(t + 20)*(3*t + 2)/5
Let c(b) be the third derivative of -b**8/1008 + 2*b**7/315 - b**6/90 - b**5/90 + 5*b**4/72 - b**3/9 + 17*b**2. Factor c(k).
-(k - 2)*(k - 1)**3*(k + 1)/3
Let z(t) be the third derivative of -t**7/630 + t**6/60 - 7*t**5/180 - t**4/12 + 4*t**3/9 + t**2 - t. Determine a, given that z(a) = 0.
-1, 1, 2, 4
Suppose -120 = -3*q + 51. Let o(h) = 2*h + 26. Let k be o(8). Factor 139*v**3 + k*v**2 - 52*v**3 + 6 + 45*v + 27*v**4 + q*v**2.
3*(v + 1)**3*(9*v + 2)
Let g(v) be the first derivative of v**7/2100 - v**6/900 - v**5/75 + v**4/15 - v**3 - 3*v + 23. Let r(t) be the third derivative of g(t). Factor r(j).
2*(j - 2)*(j - 1)*(j + 2)/5
Let i(q) = -q**3 + 14*q**2 + q. Let r(s) = -2*s**2 - s. Let m(k) = 3*i(k) + 15*r(k). Determine p, given that m(p) = 0.
0, 2
Let p(m) be the first derivative of 1/30*m**5 + 2 - 1/4*m**4 + 2/3*m**3 + 0*m - 1/2*m**2. Let x(u) be the second derivative of p(u). Factor x(r).
2*(r - 2)*(r - 1)
Suppose 0 = 22*s - 25*s. Let v(w) be the second derivative of -7*w + 0 + s*w**2 + 2/5*w**6 - 2*w**3 - w**4 + 9/20*w**5 + 1/14*w**7. Solve v(t) = 0.
-2, -1, 0, 1
Let w(p) = -p**3 - 6*p**2 + 5*p - 11. Let i be -4 + 3 + (1 - 7). Let z be w(i). Suppose -2/7*v + 2/7*v**z - 4/7*v**2 + 4/7 = 0. What is v?
-1, 1, 2
Let q(c) be the first derivative of -c**3/21 - 22*c**2/7 - 484*c/7 - 52. Solve q(u) = 0 for u.
-22
Let k = -8 - -22. Suppose -2*t = 3*v - k, 21 - 5 = 3*t + 2*v. Factor -3*z**2 + 2*z**2 + z**2 - 6*z**2 + 2*z**4 - t*z.
2*z*(z - 2)*(z + 1)**2
Let p(c) = 110*c + 1320. Let d be p(-12). Factor -4/7*f + d + 2/7*f**2.
2*f*(f - 2)/7
Let x(v) be the first derivative of 7*v**6/6 + 9*v**5/4 + 5*v**4/6 + 5*v - 20. Let d(r) be the first derivative of x(r). Factor d(a).
5*a**2*(a + 1)*(7*a + 2)
Let g(h) = -h**2 - h - 1. Let i(w) = -4*w**2 - w. Let j(q) = -3*g(q) + i(q). Let d be j(0). Factor 15*n**2 + 24*n + 5 + 0 + 7 + 0 + d*n**3.
3*(n + 1)*(n + 2)**2
Let q(n) be the first derivative of 2*n - 44 + 2/3*n**3 - 3/20*n**4 + 23/10*n**2. Factor q(g).
-(g - 5)*(g + 1)*(3*g + 2)/5
Solve 1/9*x**2 + 1/3*x + 2/9 = 0.
-2, -1
Let c(h) be the third derivative of -h**7/120 + 9*h**6/80 + 121*h**5/240 - 29*h**4/8 - 9*h**3/2 - 8*h**2 - 19*h. Find w such that c(w) = 0.
-3, -2/7, 2, 9
Let n be (-7)/(-14) + 2 - (-5)/2. Let k(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 1/15*p**4 + 1/75*p**6 - 3/50*p**n + 3*p. Factor k(t).
2*t**2*(t - 2)*(t - 1)/5
Let z(c) be the third derivative of -c**6/60 + 14*c**5/15 - 53*c**4/12 + 26*c**3/3 + c**2 - 46. Factor z(x).
-2*(x - 26)*(x - 1)**2
Solve -482 - 9433*g**2 + 9429*g**2 - 728*g - 242 = 0 for g.
-181, -1
Let p = 9205 + -9203. Let -12/13 - 14/13*v - 2/13*v**p = 0. What is v?
-6, -1
Determine u, given that -3/2*u**5 + 0*u**2 + 15/2*u**3 + 0 - 6*u + 0*u**4 = 0.
-2, -1, 0, 1, 2
Let u(j) be the second derivative of -1/66*j**4 + 4*j + 2/11*j**2 + 0 + 1/33*j**3. Find p such that u(p) = 0.
-1, 2
Let c(i) be the first derivative of i**4/18 + 16*i**3/9 + 64*i**2/3 - 23*i - 6. Let q(f) be the first derivative of c(f). Let q(n) = 0. Calculate n.
-8
Let s(l) be the third derivative of 1/735*l**7 + 0*l**4 + 0*l + 0 - 44*l**2 + 1/210*l**6 + 0*l**3 + 1/210*l**5. Factor s(j).
2*j**2*(j + 1)**2/7
Let i(j) be the third derivative of j**6/420 - 25*j**2 + j. Let i(w) = 0. What is w?
0
Let f(k) = k + 14. Let m be f(-8). Let z be (-6)/(4 - m) + -1. Factor -2*a**3 + 1 + 5*a**z - 2 - 5 + a**2 + 2*a.
-2*(a - 3)*(a - 1)*(a + 1)
Let o = 31 - 61/2. Let m = -1311 + 1313. Factor l**m + 0 + 1/2*l + o*l**3.
l*(l + 1)**2/2
Factor -7/11*q**2 - 39/11*q + 0.
-q*(7*q + 39)/11
Let i = 117 + -108. Let g(b) be the first derivative of -1/4*b**3 + 0*b - i - 1/8*b**2 + 1/4*b**4. Suppose g(m) = 0. What is m?
-1/4, 0, 1
Let v(y) be the third derivative of 0 - 1/3*y**3 + 0*y**5 - y**2 + 0*y**6 + 0*y**4 - 1/840*y**7 + 0*y. Let b(a) be the first derivative of v(a). Factor b(x).
-x**3
Let v(h) be the third derivative of h**6/720 + h**5/120 + 2*h**3/3 - 9*h**2. Let d(g) be the first derivative of v(g). Factor d(z).
z*(z + 2)/2
Let l = 14015/7 - 2002. Factor 4/7*v + 3/7 + l*v**2.
(v + 1)*(v + 3)/7
Suppose -5*i - 50 = 3*c, -c + 9 - 31 = 3*i. Let p = c + 12. Determine a so that -2 + 5*a + a**3 - 3*a + p*a**2 - 3*a = 0.
-2, -1, 1
Let z(p) be the third derivative of p**5/100 + p**4/20 - 4*p**3/5 - 51*p**2 - 1. Factor z(k).
3*(k - 2)*(k + 4)/5
Factor -4*j**2 + 3*j**2 - 10776*j + 10791*j.
-j*(j - 15)
Let z(m) be the second derivative of -8/21*m**3 - 7 - 1/3*m**4 - 3*m + 0*m**2. Factor z(p).
-4*p*(7*p + 4)/7
Let f(c) = -4*c**2 + 2*c + 1. Let v(r) = 7*r**2 - 35*r + 20. Let q(l) = 2*f(l) - v(l). Solve q(p) = 0.
3/5, 2
Let f(s) be the second derivative of 0 - 16*s - s**3 - 1/12*s**4 - 5/2*s**2. What is w in f(w) = 0?
-5, -1
What is n in 26/5*n**2 + 2/5*n**3 + 126/5 + 102/5*n = 0?
-7, -3
Let b = -3780/13 + 26616/91. Let b*v**2 + 0 + 8/7*v + 0*v**3 - 4/7*v**4 = 0. Calculate v.
-1, 0, 2
Solve 15/2*u + 70 - 5/2*u**2 = 0 for u.
-4, 7
Let y(d) = 12*d. Let l be y(1). Factor -3*u**2 - 15*u**3 + 33 - 15*u**2 - 9 + l*u - 3*u**4.
-3*(u - 1)*(u + 2)**3
Let r be (0/3 - -1)*5. Suppose 2*s - 3*s - 4 = -f, r*f + 5*s = 0. Determine g, given that 3*g - 2 + 6 + g**f - g + 2*g = 0.
-2
Let m(a) = a**3 + a**2 - 19*a + 23. Let r be m(3). Factor 18/7*q + 6/7*q**r + 0.
6*q*(q + 3)/7
Let k(d) be the second derivative of -7/48