10*y**5 - 8*y**2 + 0*y**3. Determine q so that z(q) = 0.
-2, -1, 0
Factor 0 - 14/3*a**2 + 0*a**3 + 4*a + 2/3*a**4.
2*a*(a - 2)*(a - 1)*(a + 3)/3
Let q(t) be the first derivative of -3*t**4/4 + 8*t**3 - 63*t**2/2 + 54*t + 75. Factor q(x).
-3*(x - 3)**2*(x - 2)
Let s(d) be the first derivative of -5*d**7/42 + d**5/4 + 26*d + 7. Let f(l) be the first derivative of s(l). Factor f(h).
-5*h**3*(h - 1)*(h + 1)
Let j(d) be the first derivative of -11 + 8/9*d + 4/9*d**2 + 2/27*d**3. Factor j(n).
2*(n + 2)**2/9
Factor -20*b**2 + 82 + 70*b**2 - 3 - 80*b - 24*b**2 - 25*b**2.
(b - 79)*(b - 1)
Let b be 1/(16/294) - 18. Factor b*p**2 + 3/8*p + 0.
3*p*(p + 1)/8
Let y(m) be the second derivative of 2/45*m**5 + 23*m + 2/27*m**6 + 0 + 4/189*m**7 - 2/9*m**2 - 8/27*m**3 - 4/27*m**4. Suppose y(t) = 0. Calculate t.
-1, -1/2, 1
Let t(m) be the second derivative of 3*m**5/100 + 11*m**4/20 + 3*m**3 + m - 89. What is a in t(a) = 0?
-6, -5, 0
Let l(q) be the third derivative of -q**7/490 + 9*q**6/280 - 23*q**5/140 + 15*q**4/56 - 3*q**2 - 118. Find h such that l(h) = 0.
0, 1, 3, 5
Let w(v) be the first derivative of 4*v**5/5 - 5*v**4 - 20*v**3 + 10*v**2 + 56*v + 241. What is f in w(f) = 0?
-2, -1, 1, 7
Factor -11*g + g**3 - 23*g + 23 + 28*g**2 - 19*g**2 + 1.
(g - 2)*(g - 1)*(g + 12)
Let z be (-5)/(63/(-28) - -1). Let f(p) be the second derivative of -1/30*p**3 + 3/10*p**2 - 2*p + 0 - 1/20*p**z + 1/100*p**5. What is y in f(y) = 0?
-1, 1, 3
Factor 17*v - 10*v + 11*v + 35*v**2 + 4*v**4 - 2*v**4 + 16*v**3 - 3*v**4.
-v*(v - 18)*(v + 1)**2
Let i(x) be the third derivative of -x**7/1050 + x**6/100 - x**5/30 + x**4/20 - 13*x**3/3 + 18*x**2. Let a(s) be the first derivative of i(s). Factor a(q).
-2*(q - 3)*(q - 1)*(2*q - 1)/5
Let m = -38 + 39. Let h be (1 + m)*((-140)/49 - -3). Suppose 0 + h*u**3 + 0*u + 0*u**2 = 0. What is u?
0
What is o in -2/7*o**2 + 52/7 + 22/7*o = 0?
-2, 13
Suppose f - 35 = -l + 25, -3*l = -3*f - 180. Suppose -62*y = -l*y. Factor -4*o**3 + y - 1/2*o**5 + 5/2*o**4 + 0*o + 2*o**2.
-o**2*(o - 2)**2*(o - 1)/2
Suppose 56*q**2 + 34*q + 34 + 41*q + 49*q**2 - 26*q - 108*q**2 = 0. Calculate q.
-2/3, 17
Let f be 38/10 + 2/10. Let x be (8 - 2)*((-30)/(-18) - 1). Factor -17/3*j + 8/3*j**x - 1 - f*j**3 - 10*j**2.
(j - 3)*(2*j + 1)**3/3
Let t(d) be the second derivative of 0 + 0*d**3 + 1/11*d**2 - 15*d - 1/66*d**4. Factor t(b).
-2*(b - 1)*(b + 1)/11
Suppose -2*t - 4*t = 0. Suppose t = -7*c + 6*c + 3. Suppose -b**4 - b**5 + 2*b**4 + 2*b**3 + c*b - 4*b - 2*b**4 - 1 + 2*b**2 = 0. Calculate b.
-1, 1
Let 72/7*i - 54/7 + 4/7*i**3 - 30/7*i**2 = 0. Calculate i.
3/2, 3
Let i(d) be the second derivative of d**7/140 - 3*d**5/40 + d**4/8 - 5*d**2 + 21*d. Let s(u) be the first derivative of i(u). Factor s(c).
3*c*(c - 1)**2*(c + 2)/2
Factor 1/5*p**3 + 0 + 0*p - 4/5*p**2.
p**2*(p - 4)/5
Let i(a) be the third derivative of 5*a**8/336 - 3*a**7/70 - 24*a**6/25 - 106*a**5/75 + 26*a**4/5 - 24*a**3/5 + 6*a**2 + 18*a. Let i(m) = 0. Calculate m.
-3, -2, 2/5, 6
Suppose -5*t = 2*b + 21, 2*b + 2*t = -3 - 3. Let -q**3 + 156*q**2 - q**3 - 8 - 150*q**b = 0. Calculate q.
-1, 2
Let s(h) be the first derivative of 0*h + 4 + h**2 + 2/15*h**5 + 5/12*h**4 + 1/3*h**3. Let a(b) be the second derivative of s(b). Factor a(k).
2*(k + 1)*(4*k + 1)
Let c be 6/20 + (63/(-35))/(-9). Suppose -1/2*n**4 + 0 + c*n**2 + 1/2*n**3 - 1/2*n = 0. Calculate n.
-1, 0, 1
Let i be 25/315 - (66/42)/(-11). Solve -2/3*t**4 + 0 + i*t - 10/9*t**2 + 14/9*t**3 = 0 for t.
0, 1/3, 1
Let n(f) be the second derivative of -f**6/135 - f**5/30 + 11*f**4/27 + 8*f**3/9 + 7*f - 60. Find c such that n(c) = 0.
-6, -1, 0, 4
Let t(d) be the third derivative of -d**6/960 - d**5/80 - d**4/16 + 7*d**3/6 - d**2. Let n(j) be the first derivative of t(j). Solve n(c) = 0 for c.
-2
Suppose -4*n + 50 = 5*q + 14, 0 = -5*q - n + 24. Factor 160*p**3 - 144*p**2 + 256/5*p - 50*p**q - 32/5.
-2*(p - 2)*(5*p - 2)**3/5
Solve 16/7*n**3 - 4/7*n**4 - 16/7*n**2 + 0*n + 0 = 0 for n.
0, 2
Let s(o) be the third derivative of -o**5/390 + 14*o**4/39 - 784*o**3/39 + 88*o**2. Factor s(f).
-2*(f - 28)**2/13
Let 17*a - 4 + 3*a + 24*a + 18 - 30249*a**2 + 30199*a**2 - 8*a**3 = 0. Calculate a.
-7, -1/4, 1
Suppose 0 = 13*z - 29*z. Let s(w) be the first derivative of -2/15*w**3 + z*w**2 - 2/25*w**5 - 1/5*w**4 + 8 + 0*w. What is j in s(j) = 0?
-1, 0
Let s(p) be the second derivative of p**8/5376 + p**7/504 + 5*p**6/576 + p**5/48 - 9*p**4/2 + 18*p. Let a(r) be the third derivative of s(r). Factor a(g).
5*(g + 1)**2*(g + 2)/4
Determine r, given that -1/2*r**2 + 7/2*r + 9 = 0.
-2, 9
Let d be ((-4)/8)/1*(-2 - 23). Let -15/4*k**3 + 5/2 + d*k**2 - 45/4*k = 0. Calculate k.
1/3, 1, 2
Let j be (-5)/(-12)*(-1953)/(-1085). Factor d + j + 1/4*d**2.
(d + 1)*(d + 3)/4
Let i be -1*(((-32)/(-14))/(-4) + (-238)/98). What is p in -i*p + 0 - 1/2*p**2 = 0?
-6, 0
Let o = 565 - 19773/35. Let p(m) be the first derivative of -12/7*m**2 - o*m**5 - 5 - 18/7*m + 4/21*m**3 + 2/7*m**4. Factor p(q).
-2*(q - 3)**2*(q + 1)**2/7
Let g(n) = -n**2 + 13*n - 12. Let c be g(11). Factor c*b - 1 + 3 + 5*b**2 + 12 - 9.
5*(b + 1)**2
Let r(y) be the third derivative of y**6/420 + y**5/70 - 3*y**4/28 - 9*y**3/7 + 8*y**2 - 4*y. Suppose r(j) = 0. Calculate j.
-3, 3
Let j(k) = 3*k**2 - 9*k + 2. Let n be j(3). Factor 109*r**n - 2352*r - 3*r**3 + 7*r**2 + 52*r**2 + 10976 - r**3.
-4*(r - 14)**3
Let j = -133/8 - -27/2. Let h = j - -29/8. Factor 1/2*s**2 + 1/4*s**3 - 1/4*s - h.
(s - 1)*(s + 1)*(s + 2)/4
Factor 8 + 54 - 100*o + 22 + 24*o**2.
4*(o - 3)*(6*o - 7)
Let m(z) be the third derivative of -z**5/30 + z**3/3 - 7*z**2. Let m(i) = 0. What is i?
-1, 1
Solve -2700 - 1/3*i**2 + 60*i = 0 for i.
90
Factor 59*u**2 - 3*u**3 + 5 + 49*u**2 - 123*u**2 - 7*u**3.
-5*(u + 1)**2*(2*u - 1)
Let w = -46 - -50. Suppose 0*r = -3*s - 4*r + 18, w*s + r - 11 = 0. Solve 3*k - 5/4*k**s - 1 = 0 for k.
2/5, 2
Let a be 1881/(-418)*(2 + (-64)/30). Let a*v**2 - 2/5 + 1/5*v - 1/5*v**4 - 1/5*v**3 = 0. What is v?
-2, -1, 1
Let p(q) be the third derivative of 0*q + 0 - 14/5*q**5 - 25/8*q**4 + 12*q**2 - 2/5*q**6 - 3/2*q**3. Factor p(l).
-3*(l + 3)*(4*l + 1)**2
Let q(r) = -90*r**2 - 102*r + 56. Let b(g) = 8*g**2 + 9*g - 5. Let o(c) = -68*b(c) - 6*q(c). Factor o(f).
-4*(f - 1)*(f + 1)
Suppose -h = 2*u - 50, 4*u - 24 = 2*h + 60. Let f = 38 - u. Let 9*j**3 - 15*j**3 + 15*j**5 - f*j**4 + 6*j**5 = 0. What is j?
-2/7, 0, 1
Let f be (-833)/(-98) + 10/(-4)*16/(-10). Factor -f*l**2 + 5/2*l**3 + 20*l - 10.
5*(l - 2)**2*(l - 1)/2
Let x be -6*2*((-165)/20 + 8). Factor 0 + 0*i**2 - 2/3*i**5 + 4/3*i**4 + 0*i - 2/3*i**x.
-2*i**3*(i - 1)**2/3
Solve -17*s - 100*s**5 - 114*s**3 + 26*s**4 - 105*s**3 + 269*s**4 + 125*s**2 - 86*s**3 + 2*s = 0.
0, 1/5, 3/4, 1
Let 2/7*d**4 - 4 + 26/7*d**2 - 30/7*d + 30/7*d**3 = 0. Calculate d.
-14, -1, 1
Let c(a) be the first derivative of a**7/4620 + a**6/990 - a**5/660 - a**4/66 + 4*a**3 - 10. Let d(k) be the third derivative of c(k). What is y in d(y) = 0?
-2, -1, 1
Suppose 88 + 448/5*n + 2/5*n**3 + 118/5*n**2 = 0. What is n?
-55, -2
Factor 0 + 7/6*m**2 + 0*m**3 - 1/6*m**4 + m.
-m*(m - 3)*(m + 1)*(m + 2)/6
Let v(m) be the first derivative of m**6/5 + m**5/10 - 5*m**4/18 + m**3/9 - 5*m + 3. Let s(j) be the first derivative of v(j). Factor s(u).
2*u*(u + 1)*(3*u - 1)**2/3
Let u be (8/24)/(5 + -4)*(1 + 5). Let -4 - 9/4*j**u + 6*j = 0. Calculate j.
4/3
Let t = 431/14 - 212/7. Factor 0 - t*j - 1/4*j**2.
-j*(j + 2)/4
Let i(v) = 21*v + 6. Let o be i(6). Let x be o/48 + 2/8. Factor x - y**2 - 1 + 0*y - 2*y - 3.
-(y + 1)**2
Let i(f) = -f**4 - f**2 + f. Let w = -58 + 61. Let a(l) = 6*l**4 + l**3 + 2*l**2 - 6*l + 2. Let q(o) = w*a(o) + 15*i(o). Determine g, given that q(g) = 0.
-2, -1, 1
Let l = 5985977/7359900 - -1/98132. Let x = l + -12/25. Suppose 0 + x*d + 1/3*d**4 - 1/3*d**3 - 1/3*d**2 = 0. Calculate d.
-1, 0, 1
Let h(z) be the second derivative of z**7/168 + z**6/12 + 13*z**5/80 - 5*z**4/4 + 3*z**3/2 + 610*z. Determine y so that h(y) = 0.
-6, 0, 1
Factor -5/2*q**3 + 6*q**2 + 40*q - 1/2*q**4 + 32.
-(q - 4)*(q + 1)*(q + 4)**2/2
Let d(z) be the second derivative of -3*z**5/20 - 11*z**4/4 - 13*z**3 - 24*z**2 + z - 18. Factor d(l).
-3*(l + 1)*(l + 2)*(l + 8)
Let q(c) be the first derivative of -1/180*c**6 + 0*c**2 + 5/3*c**3 + 0*c - 4 + 0*c**5 + 1/12*c**4. Le