 + 1/189*a**7 - 1/9*a**4. Determine g, given that d(g) = 0.
-3, -2, 0, 1
Let p(d) be the first derivative of -d**5/12 - 5*d**4/6 - 5*d**3/2 - 19*d**2/2 + 23. Let c(v) be the second derivative of p(v). Factor c(f).
-5*(f + 1)*(f + 3)
Find i such that -20 - 5*i**3 + 35*i - 47*i**2 - 17*i**2 + 54*i**2 = 0.
-4, 1
What is y in 2/11*y**3 + 30/11*y**2 + 152/11 - 144/11*y = 0?
-19, 2
Let j(y) = 6*y**4 - 18*y**3 - 18*y**2 + 2*y. Let l(s) = -7*s**4 + 19*s**3 + 17*s**2 - 3*s. Let u(k) = -3*j(k) - 2*l(k). Suppose u(i) = 0. What is i?
-1, 0, 5
Let w be 1/((-2)/659) + 1/2. Let n = w - -2635/8. Suppose n*t**2 - 3/8*t**5 + 0*t + 3/8*t**3 - 3/8*t**4 + 0 = 0. Calculate t.
-1, 0, 1
Suppose 49*r**4 + 72*r**3 + 84*r**3 + 56*r**4 - 3*r**5 - 231*r**4 + 54*r**4 = 0. Calculate r.
-26, 0, 2
Let x = 54 + -52. Suppose 0 = -x*c - 132 + 140. What is z in 8*z**3 - 2/3 + c*z - 26/3*z**2 - 8/3*z**4 = 0?
1/2, 1
Let b(a) = -a**4 + 12*a**3 - 11*a**2 + 10*a. Let r(x) = -x**4 + 11*x**3 - 11*x**2 + 9*x. Let m(h) = 4*b(h) - 5*r(h). Let m(z) = 0. What is z?
0, 1, 5
Suppose -2 + 2/7*m**2 - 12/7*m = 0. What is m?
-1, 7
Let s(v) be the first derivative of 2/15*v**4 - 2/75*v**5 + 0*v**2 + 6 + 0*v - 8/45*v**3. Solve s(h) = 0 for h.
0, 2
Suppose 3*s - 7*s + 16 = 0. Let r be s/3 - (17/3 - 5). Factor 0*l - 2/9*l**4 + 0 - r*l**3 + 0*l**2.
-2*l**3*(l + 3)/9
Let p(m) = 23*m + 11. Let u be p(3). Let b = 82 - u. Factor 1/3*d**b - 1 - 2/3*d.
(d - 3)*(d + 1)/3
Let x = 18 + -16. Let f(k) be the first derivative of 4*k**3 - 15*k**x + 7 + k**4 - 23*k**2 + 42*k**2. Solve f(z) = 0 for z.
-2, -1, 0
Let k(b) be the third derivative of b**7/630 + 7*b**6/180 + b**5/3 + 41*b**4/36 + 35*b**3/18 + 193*b**2. Let k(r) = 0. Calculate r.
-7, -5, -1
Let s(l) be the third derivative of -l**6/120 + 9*l**5/20 - 7*l**4 - 98*l**3/3 + l**2 - 62. Factor s(v).
-(v - 14)**2*(v + 1)
Let r(p) be the first derivative of -5*p**4 + 832*p**3/3 - 4242*p**2 - 3528*p - 243. Solve r(c) = 0.
-2/5, 21
Let a(l) = 3*l**3 + 7*l**2 + 12*l - 6. Let b(r) = -19*r**3 - 42*r**2 - 73*r + 39. Let m(g) = -39*a(g) - 6*b(g). Find x such that m(x) = 0.
-5, -2, 0
Let l be -1 + (-1 - (-6 - (0 - 0))). Let p be 18/l*42/18. Suppose -12*h - p*h**2 + 49/2*h**3 - 2 = 0. What is h?
-2/7, 1
Let j(k) be the third derivative of -k**6/24 - 3*k**5/4 - 5*k**4/3 + 50*k**3 + 18*k**2 + 9. Let j(v) = 0. Calculate v.
-6, -5, 2
Suppose -4*d = 5*d - 19*d. Let f(p) be the second derivative of d*p**3 - p - 1/8*p**2 + 0 + 1/48*p**4. Factor f(l).
(l - 1)*(l + 1)/4
Factor -1/3 + 1/6*g**2 + 1/6*g.
(g - 1)*(g + 2)/6
Let b(n) = n**3 + 21*n**2 + 7*n - 587. Let h be b(-19). Let -3/2 + 1/4*s + 1/4*s**h = 0. Calculate s.
-3, 2
Suppose 0 = -37*f + 40*f - 2*g + 6, 3*f - 9 = -3*g. Let u(q) be the second derivative of 8*q + 4/7*q**3 + 24/7*q**2 + 1/28*q**4 + f. Factor u(n).
3*(n + 4)**2/7
Let o(s) = -5 + 2 - 8*s + 5*s. Let w(k) = k**3 + k**2 + 4*k + 4. Let p(r) = 4*o(r) + 3*w(r). Find v such that p(v) = 0.
-1, 0
Let p(k) be the third derivative of k**7/630 - k**6/15 + 143*k**5/180 + k**4/3 - 8*k**3 - 105*k**2 + 2*k. Factor p(x).
(x - 12)**2*(x - 1)*(x + 1)/3
Let j be ((-44)/(-65) - 8/104)/3. Factor 2/5 - 3/5*p + j*p**2.
(p - 2)*(p - 1)/5
Factor 9/4*t - 1/4*t**3 + 1/4*t**2 - 9/4.
-(t - 3)*(t - 1)*(t + 3)/4
Let a(b) be the second derivative of b**5/20 + 61*b**4/108 + 47*b**3/27 - 4*b**2/3 + 2*b - 677. Find w, given that a(w) = 0.
-4, -3, 2/9
Let i be (-16)/(-20)*(-195)/(-78). Solve 0 + 2/7*c**i + 8/7*c = 0.
-4, 0
Let q be 110/12 + 10/6*87/(-58). Determine f so that 16/3*f**2 - q*f - 4/3*f**3 + 8/3 = 0.
1, 2
Let g(l) be the second derivative of 2*l**7/21 - 2*l**6/15 - 2*l**5/5 + 2*l**4/3 + 2*l**3/3 - 2*l**2 - 8*l + 7. Determine a so that g(a) = 0.
-1, 1
Let l(q) be the second derivative of -q**7/42 + q**6/10 + q**5/20 - 11*q**4/12 + 2*q**3 - 2*q**2 + 33*q. Determine a so that l(a) = 0.
-2, 1, 2
Let f(v) = -38*v**5 - 178*v**4 - 258*v**3 - 116*v**2 + 5*v + 9. Let y(w) = w**5 - 1. Let q(c) = -2*f(c) - 6*y(c). Suppose q(t) = 0. What is t?
-3, -1, -2/7, 1/5
Let t(j) be the first derivative of j**8/336 - 5*j**7/168 + j**6/8 - 7*j**5/24 + 5*j**4/12 + 8*j**3 - 18. Let u(g) be the third derivative of t(g). Factor u(f).
5*(f - 2)*(f - 1)**3
Let p(n) = 2*n**2 - 2*n + 3. Let w be p(0). Factor -10*t**3 + 11 + 33*t**2 - 11*t**w - 35 + 30*t.
-3*(t - 2)*(t + 1)*(7*t - 4)
Let h(i) be the third derivative of -19/200*i**6 + 0*i**3 - 1/20*i**4 + 0 - 3/560*i**8 - 11*i**2 - 11/100*i**5 + 0*i - 13/350*i**7. Suppose h(m) = 0. What is m?
-2, -1, -1/3, 0
Let x(d) be the second derivative of -1/6*d**4 + 1 + 6*d**2 + 5/3*d**3 - 2*d. What is g in x(g) = 0?
-1, 6
Solve -180 + 384*z - 11*z**5 + 125*z**2 - 386*z**2 + 6*z**4 + 3*z**4 + 8*z**5 + 16*z**3 + 35*z**3 = 0.
-5, 1, 2, 3
Let p(j) be the second derivative of -j**6/300 - j**5/75 + j**4/20 + 43*j**2/2 - 33*j. Let z(m) be the first derivative of p(m). Factor z(d).
-2*d*(d - 1)*(d + 3)/5
Let t(o) = o**3 + o**2. Let z(n) = -7*n**3 + 24*n**2. Let k(v) = 6*t(v) + z(v). Determine m, given that k(m) = 0.
0, 30
Let r(p) be the third derivative of -p**6/180 + p**5/20 + p**4/3 - 7*p**3/3 - 13*p**2. Let u(k) be the first derivative of r(k). Suppose u(a) = 0. Calculate a.
-1, 4
Determine t so that -4*t**3 + 2*t**3 + 5*t**4 + 3*t**2 + 7*t**2 - 13*t**3 = 0.
0, 1, 2
Let w(q) be the third derivative of -q**7/112 + 3*q**6/80 - 3*q**5/80 - q**4/16 + 4*q**3/3 - 10*q**2. Let g(j) be the first derivative of w(j). Factor g(v).
-3*(v - 1)**2*(5*v + 1)/2
Let o(x) = -583*x**4 + 1792*x**3 + 2106*x**2 - 271*x + 18. Let h(w) = -292*w**4 + 895*w**3 + 1053*w**2 - 136*w + 10. Let z(i) = 5*h(i) - 3*o(i). Factor z(f).
(f - 4)*(f + 1)*(17*f - 1)**2
Let k = 11461 - 11459. Factor 2/11*b**k + 4/11*b - 6/11.
2*(b - 1)*(b + 3)/11
Let c be (15 + (-129)/9)/((-20)/(-6)) + 4. Factor c*p - 49/10*p**2 - 9/10.
-(7*p - 3)**2/10
Let c = 844 - 844. Let p(f) be the second derivative of 0*f**2 + 1/10*f**5 - 5*f + c*f**3 + 0 + 1/60*f**6 + 1/6*f**4. Factor p(j).
j**2*(j + 2)**2/2
Let n(o) be the first derivative of -o**4 - 172*o**3/3 - 880*o**2 + 1936*o - 11. Factor n(a).
-4*(a - 1)*(a + 22)**2
Let t be 4/(-14) + 1/11. Let z = 1/11 - t. Factor -4/7*s + 0 + z*s**2.
2*s*(s - 2)/7
Let x(h) be the second derivative of h**4/8 - 161*h**3/4 + 120*h**2 + 2*h + 331. Factor x(l).
3*(l - 160)*(l - 1)/2
Let c(w) be the first derivative of 3/2*w + w**2 + 37 + 1/6*w**3. Factor c(i).
(i + 1)*(i + 3)/2
Let o(x) be the third derivative of -x**7/21 + x**6/10 - x**5/30 + 5*x**2 - 84*x. Factor o(j).
-2*j**2*(j - 1)*(5*j - 1)
Determine b so that -58*b**2 - 349*b + 96*b**4 - 222*b**2 - 202 + 112*b**3 + 2 - 143*b - 4*b**5 = 0.
-1, 2, 25
Let s be 2/12 + (-459)/3240. Let a(v) be the third derivative of 0 + 0*v - 1/200*v**6 + 2*v**2 + s*v**4 + 0*v**5 + 0*v**3. Factor a(o).
-3*o*(o - 1)*(o + 1)/5
Factor 3/2*y**2 - 33/2*y - 39.
3*(y - 13)*(y + 2)/2
Let m(j) be the third derivative of 1/180*j**5 + 5/36*j**4 + 0 - 50*j**2 + 25/18*j**3 + 0*j. Suppose m(u) = 0. What is u?
-5
Let g = 2 + 0. Suppose -3*s = b + 9, -2*b - 5*s = -75 + 89. What is f in 0*f + 1/2*f**g + 3/4*f**b + 0 + 1/4*f**4 = 0?
-2, -1, 0
Let h = -4 - -9. What is t in -14*t**3 - t**2 + 10*t**4 + 2*t**3 - 2*t - 2*t**h + 9*t**2 - 2*t**4 = 0?
0, 1
Let l be ((-25)/400)/((-14)/8). Let s(a) be the second derivative of 2/105*a**6 - 1/28*a**4 - 1/14*a**2 - 5*a + 0 + l*a**5 - 5/42*a**3. Factor s(j).
(j - 1)*(j + 1)**2*(4*j + 1)/7
Let v(p) be the third derivative of -p**8/112 - 50*p**7/7 - 2500*p**6 - 500000*p**5 - 62500000*p**4 - 5000000000*p**3 - 239*p**2. Factor v(a).
-3*(a + 100)**5
Let x(c) = -6*c + 12. Let o be x(7). Let w be (-6)/15 - (2 + 232/o). Factor -2/3 + w*g - 32/3*g**2.
-2*(4*g - 1)**2/3
Let h(w) be the first derivative of 2/23*w**3 - 2/115*w**5 + 2/23*w**2 + 0*w + 5 + 0*w**4. Factor h(o).
-2*o*(o - 2)*(o + 1)**2/23
Let l(u) = 12*u**4 - 30*u**3 - 57*u**2 + 111*u - 36. Let g(z) = 6*z**4 - 15*z**3 - 28*z**2 + 55*z - 18. Let h(d) = 9*g(d) - 4*l(d). Find j such that h(j) = 0.
-2, 1/2, 1, 3
Let g(a) be the third derivative of -a**8/336 + 13*a**7/420 - a**6/20 - 17*a**5/120 + 5*a**4/24 + 105*a**2 - a. Let g(q) = 0. What is q?
-1, 0, 1/2, 2, 5
Let n(j) be the second derivative of -j**5/150 + j**4/10 - 14*j**3/45 - 11*j. Factor n(i).
-2*i*(i - 7)*(i - 2)/15
Determine v so that 1386/5*v*