) = -6*i(r) + 2*w(r). What is o in c(o) = 0?
-2, -1, 8
Let n be (2 - 2)/1*-1. Suppose 2*m + n*m = 6. Find c, given that -9*c**3 - 2*c - 6*c**4 + m*c**3 - 6*c**2 + 4*c**4 = 0.
-1, 0
Let l(m) be the first derivative of -2*m**3/33 + 98*m/11 - 375. Solve l(y) = 0.
-7, 7
Let c = 302 + -300. Let q(t) be the second derivative of -4*t + 0*t**c - 1/110*t**5 + 0 + 1/33*t**4 + 0*t**3. Determine i, given that q(i) = 0.
0, 2
Let u be (-2)/3 + 4147/33. Let q = u - 123. Determine l, given that -12/7*l + 18/7 + 2/7*l**q = 0.
3
Let z(a) be the second derivative of -a**5/12 - 10*a**4/9 - 40*a**3/9 - 62*a. What is o in z(o) = 0?
-4, 0
Let z(j) be the second derivative of j**5/4 + 5*j**4/4 - 5*j**3/6 - 15*j**2/2 - 98*j. Determine t, given that z(t) = 0.
-3, -1, 1
Let b = -20278 - -20282. Suppose -98/9*y**5 + 56/9*y**b + 10*y**3 + 8/9*y + 0 - 56/9*y**2 = 0. Calculate y.
-1, 0, 2/7, 1
Let v be -3*(-12)/(-54)*3/(-7). Let i(z) be the first derivative of 5 - 1/14*z**4 + 1/7*z**2 + v*z - 2/21*z**3. Factor i(n).
-2*(n - 1)*(n + 1)**2/7
Let x = 5953/4 + -1488. Let p = -89 + 359/4. Find f, given that x*f**3 + p*f**5 + 0*f + 0 - f**4 + 0*f**2 = 0.
0, 1/3, 1
Factor 14*m**3 + 207*m**2 - 2091 - 90*m + 2124 + 7*m**3 - 171*m.
3*(m - 1)*(m + 11)*(7*m - 1)
Let g = 1829/2 - 23761/26. Factor -g - 578/13*k**2 - 136/13*k.
-2*(17*k + 2)**2/13
Let a(d) = d**4 + 6*d**3 - d**2 - 9*d + 3. Let p(w) = -4*w**4 - 18*w**3 + 4*w**2 + 28*w - 10. Let c(t) = -10*a(t) - 3*p(t). What is i in c(i) = 0?
-1, 0, 1, 3
Let d(p) = p - 10. Let g be d(12). Determine v, given that -6*v**3 + 3*v**4 + 3*v**g - 6 + 6 = 0.
0, 1
Let z(i) be the second derivative of -5*i**2 + 0 - 48*i + 5/3*i**4 - 1/2*i**5 + 5/6*i**3 + 5/42*i**7 - 1/3*i**6. Solve z(k) = 0.
-1, 1, 2
Let h = -2846005/16148 - 20/4037. Let w = -6289/36 - h. Factor -4/9 + 4/9*a**2 - w*a + 14/9*a**3.
2*(a - 1)*(a + 1)*(7*a + 2)/9
Let t(k) = 3*k**3 - 7*k**2 - 2*k - 4. Let a be (-90)/24 - 3/12. Let l(s) = -4*s**3 + 8*s**2 + 2*s + 5. Let o(d) = a*l(d) - 5*t(d). Factor o(r).
r*(r + 1)*(r + 2)
Suppose -794/15*l**3 - 22/3*l + 2/5 + 158/5*l**2 + 176/5*l**4 - 104/15*l**5 = 0. What is l?
1/13, 1/2, 1, 3
Let v(r) = 7*r + 49. Let p be v(-7). Factor 2/3*n + 1/3*n**2 + p.
n*(n + 2)/3
Let k(l) = 6*l**2 - 20*l**2 - l - l**3 - 1 + 2*l + 13*l**2. Let j(p) = 2*p**4 + p**3 - 5*p**2 - 5*p + 1. Let b(i) = 2*j(i) + 2*k(i). Factor b(o).
4*o*(o - 2)*(o + 1)**2
Let t = -22 - -26. Factor 21*a**2 + 2*a**2 - a**4 + 4 + 14*a**3 + t*a**4 + 27*a - 11*a.
(a + 1)**2*(a + 2)*(3*a + 2)
Let s = -6461 - -12923/2. Factor 3 + 5/2*p - s*p**2.
-(p - 6)*(p + 1)/2
Suppose 0 - 6*v**3 + 11/2*v**2 - 1/4*v**5 + 5/2*v**4 - 7/4*v = 0. Calculate v.
0, 1, 7
Let o(i) be the third derivative of i**5/480 - 7*i**4/96 + i**3/2 - 234*i**2. Factor o(t).
(t - 12)*(t - 2)/8
Let m = -395/3 - -134. Let n = -13009/3 + 4338. Factor -1 - n*q**2 + m*q + 1/3*q**3.
(q - 3)*(q - 1)**2/3
Suppose 1170*u = 1166*u + 48. Let f(x) be the first derivative of -3/2*x**2 - 2*x + 1/4*x**4 + 0*x**3 + u. Factor f(q).
(q - 2)*(q + 1)**2
Let a(o) be the first derivative of 2*o**4/17 + 146*o**3/51 - 234*o**2/17 - 126*o/17 + 316. Let a(q) = 0. What is q?
-21, -1/4, 3
Let j(p) be the third derivative of p**7/350 + 3*p**6/100 - 3*p**5/100 - 2*p**4/5 + 6*p**3/5 - 12*p**2. Determine o so that j(o) = 0.
-6, -2, 1
Let t(v) be the first derivative of -2/5*v**5 - 7/10*v**4 + 2/15*v**3 + 8/5*v + 8/5*v**2 - 1/15*v**6 + 6. Determine n so that t(n) = 0.
-2, -1, 1
Let l(g) be the first derivative of -g**4/12 - 7*g**3/3 - 20*g**2 - 100*g/3 + 76. Factor l(z).
-(z + 1)*(z + 10)**2/3
Let v(p) be the first derivative of p**8/420 - p**6/90 - 11*p**3/3 - 6. Let k(s) be the third derivative of v(s). Let k(m) = 0. Calculate m.
-1, 0, 1
Let s = 4288201/840 - 5105. Let b(z) be the third derivative of -4*z**2 + 0*z + 0*z**7 - 1/300*z**6 + 0 + 0*z**4 + s*z**8 + 0*z**5 + 0*z**3. Solve b(g) = 0.
-1, 0, 1
Let k(j) be the first derivative of 7 - 1/6*j**3 - 1/24*j**6 + 0*j + 1/10*j**5 + 1/8*j**2 + 0*j**4. Factor k(i).
-i*(i - 1)**3*(i + 1)/4
Factor 28 + 100*v - v**2 - 52*v - 60*v.
-(v - 2)*(v + 14)
Let b(r) = 1. Let j(x) = 5316*x**2 + 2 - 10633*x**2 + 5314*x**2. Let s = 0 - 1. Let y(v) = s*j(v) - b(v). Find h, given that y(h) = 0.
-1, 1
Let m(y) be the first derivative of -23 + 20*y**2 - 5*y + 65/16*y**4 - 115/4*y**3 + 7*y**5. Solve m(o) = 0 for o.
-2, 1/4, 2/7, 1
Suppose -131 + 77 - 4*p**2 + 312*p - 254 = 0. What is p?
1, 77
Let u(k) be the third derivative of k**6/840 - 2*k**5/105 + 5*k**4/168 + k**3/3 - 51*k**2. Factor u(d).
(d - 7)*(d - 2)*(d + 1)/7
Let l(x) be the third derivative of -3*x**7/280 - x**6/24 - x**5/20 - 5*x**3/2 + 19*x**2. Let q(c) be the first derivative of l(c). Suppose q(w) = 0. What is w?
-1, -2/3, 0
Let s(w) = 10*w + 3 - 14*w**2 - 10*w**2 + 36*w**2 - 13*w**2. Let m(i) = 2*i**2 - 11*i - 3. Let x(d) = -4*m(d) - 5*s(d). Let x(n) = 0. Calculate n.
-1
Let w(p) be the second derivative of -p**8/4200 - 2*p**7/525 - 4*p**6/225 - 5*p**3 + 24*p. Let s(n) be the second derivative of w(n). Let s(m) = 0. Calculate m.
-4, 0
Let x(j) = -j**4 - j**3 - j**2 + 1. Let i(y) = 4*y**4 + 3*y**3 + 64*y**2 + 60*y - 905. Let t(f) = 4*i(f) + 20*x(f). Factor t(h).
-4*(h - 5)**2*(h + 6)**2
Let i be (4/90)/((-27)/(-135)). Suppose 1/9*b**4 + 0 - i*b**3 + 2/9*b - 1/9*b**2 = 0. Calculate b.
-1, 0, 1, 2
Let x = 93 + -63. Factor 20*r + r**4 + 15*r**3 - 5 - 6*r**4 + r**3 + 4*r**3 - x*r**2.
-5*(r - 1)**4
Let l(j) be the first derivative of j**3/4 - 15*j**2 + 300*j + 112. Factor l(y).
3*(y - 20)**2/4
Determine k so that -7680000/7 - 28800/7*k**2 - 3/7*k**4 + 480/7*k**3 + 768000/7*k = 0.
40
Let q(v) be the third derivative of -v**6/180 - 22*v**5/45 + 23*v**4/9 - 683*v**2. Factor q(r).
-2*r*(r - 2)*(r + 46)/3
Factor -4 - 18*l + 8*l + 63*l**2 - 65*l**2 + 4*l.
-2*(l + 1)*(l + 2)
Let c be (-46 + 47)/(1 - -1 - 0). Factor -1/2*l - c*l**2 + 0.
-l*(l + 1)/2
Let d(t) = t**2 - 12*t + 27. Let p = -74 + 83. Let c be d(p). Find m such that -3/2*m + 3/4*m**2 + c = 0.
0, 2
Let a be (-75)/100 - 46/(-8). Let p(s) be the third derivative of 0*s**3 - 4*s**2 + 0 - 1/3*s**a + 5/24*s**6 + 1/6*s**4 + 0*s. Find h such that p(h) = 0.
0, 2/5
Let h = -20905/63 + 2998/9. Solve 3/7*g**2 - 3/7*g**3 + h + 15/7*g = 0 for g.
-1, 3
Let l(g) be the first derivative of -g**7/160 + 3*g**6/160 - g**5/80 - 4*g**3/3 + 2. Let p(x) be the third derivative of l(x). Factor p(o).
-3*o*(o - 1)*(7*o - 2)/4
Determine x, given that -3/7*x**3 - 27/7*x**2 - 45/7*x + 75/7 = 0.
-5, 1
Let y(n) be the third derivative of 0*n - 1/15*n**4 + 8/15*n**3 - 1/100*n**6 - 13*n**2 + 0 - 1/15*n**5. Factor y(d).
-2*(d + 2)**2*(3*d - 2)/5
Let k(l) be the second derivative of 3*l**7/112 - 13*l**6/40 + 147*l**5/160 + l**4/16 - 13*l**3/4 + 9*l**2/2 + l + 115. Determine d so that k(d) = 0.
-1, 2/3, 1, 2, 6
Let c(k) be the second derivative of -k**4/28 - 13*k**3/14 - 18*k**2/7 - 144*k. Factor c(i).
-3*(i + 1)*(i + 12)/7
Let n = 58 + -27. Let q be (2 + 3)*(-16)/(-5). Factor n*x**4 - q*x**4 - 12*x**4 - 3*x**2.
3*x**2*(x - 1)*(x + 1)
Let a(v) be the third derivative of 2*v**7/525 + 17*v**6/150 + 44*v**5/75 + 14*v**4/15 - 693*v**2. Factor a(h).
4*h*(h + 1)*(h + 2)*(h + 14)/5
Let t(c) be the first derivative of -78*c**5/35 + 19*c**4/14 + 68*c**3/7 + 36*c**2/7 - 16*c/7 - 787. Find i such that t(i) = 0.
-1, -2/3, 2/13, 2
Let v = -8860/7 + 1266. Suppose 12/7*m**3 + 0 - v*m + 10/7*m**2 = 0. Calculate m.
-1, 0, 1/6
Let o = -2/22897 + -8838232/114485. Let y = -77 - o. Factor -y*n**2 + 0*n - 1/5*n**3 + 0.
-n**2*(n + 1)/5
Solve -647*q**3 + 1190*q**4 + 117*q**5 - 135*q + 810*q**2 - 973*q**3 - 362*q**5 = 0 for q.
0, 3/7, 1, 3
Determine f so that -112*f**2 + 36*f + 108*f + 146*f + 192*f + 302*f + 4*f**3 = 0.
0, 14
Let t(c) be the second derivative of -c**4/48 + c**3 + 14*c**2 + 60*c - 3. Factor t(s).
-(s - 28)*(s + 4)/4
Let m = 76 + -135. Let z = m - -296/5. Suppose -z + 6/5*x - x**2 = 0. Calculate x.
1/5, 1
Let h(n) = n**3 + 14*n**2 + 13*n + 2. Suppose -4*d - 8 = 44. Let y be h(d). Suppose -4*b**2 + 3 + 3*b - 3*b + b**y = 0. Calculate b.
-1, 1
Let t(z) be the third derivative of -z**5/420 + z**4/168 + z**3/7 - 35*z**2. What is g in t(g) = 0?
-2, 3
Let s(l) = 2*l + 35. Let f be s(-15). Factor -3*i**2 + 26*i**5 - 53*i**4 - f*i**2 + 5*i**4 - 6*i**5 + 36*i**3.
4*i**2*(