t derivative of -x**3/2 + 21*x**2/4 + 246. Let s(f) = 0. Calculate f.
0, 7
Let j(q) = -q**2 + 3*q + 12. Let n be j(5). Factor -3*t**2 + 248 + 3*t**n - 251 + 3*t**2.
3*(t - 1)*(t + 1)
Let z(t) = t**2 + 10*t + 28. Let c be z(-5). Let g(l) be the first derivative of -2/5*l**c - 1/20*l**4 - 6/5*l**2 - 8/5*l - 3. Solve g(r) = 0 for r.
-2
Determine p so that 6*p**5 + 22*p - 33*p**2 - 28*p**3 - 47*p**2 - 70*p - 4*p**4 + 12*p**4 - 2*p**5 = 0.
-2, -1, 0, 3
Let m(p) = 7*p**3 + 42*p**2 + 28*p - 12. Let b(c) = c**2. Let k(o) = -15*b(o) - 3*m(o). Factor k(q).
-3*(q + 1)*(q + 6)*(7*q - 2)
Suppose -4*t + 3*s + 45 = -10, 4*t + 4*s - 20 = 0. Suppose t = -4*z + 22. Let -6*q**4 - q**5 + 4*q**z + 4*q**5 + q**3 - 2*q**3 = 0. Calculate q.
0, 1
Let c(l) be the third derivative of -2/3*l**3 + 0 + 0*l**5 - 1/360*l**6 - 8*l**2 + 1/24*l**4 + 0*l. Let u(j) be the first derivative of c(j). Factor u(a).
-(a - 1)*(a + 1)
Let q(b) = 17 + 3*b - 4*b**2 + 0 + 7*b**2. Let r(n) = -n**2 - n - 6. Let z(h) = 6*q(h) + 17*r(h). Factor z(f).
f*(f + 1)
Factor -2*i**4 + 7339*i**3 - 3670*i**3 - 3679*i**3 - 8*i**2.
-2*i**2*(i + 1)*(i + 4)
Suppose 29 = -7*f + 2*f + 2*z, -5*f + 4*z = 33. Let v(i) = 9*i**2 - 3*i - 7. Let h(j) = -14*j**2 + 4*j + 10. Let u(p) = f*h(p) - 8*v(p). Factor u(o).
-2*(o - 3)*(o + 1)
Let x be (-26)/(-221) - (-226)/102. Factor 0 - 2/3*y**4 + 0*y - x*y**3 - y**2.
-y**2*(y + 3)*(2*y + 1)/3
Let q be 5 - (-2 + (4 - 1)). Suppose -96*d**5 - 1386*d**4 - 16*d**2 + 36*d**5 + 1214*d**q - 112*d**3 = 0. What is d?
-2, -2/3, -1/5, 0
Let 5/4*y**2 - 1/4*y**4 + 0*y**3 - 1 + 0*y = 0. What is y?
-2, -1, 1, 2
Suppose 3*k + 16*z = 17*z + 9, -z = 3. Solve 1/2*c**2 - k*c + 2 = 0.
2
Suppose 4*d = -0*d - 4*t + 28, -d = -3*t - 3. Let v(c) = c**3 - 6*c**2 + 5*c + 3. Let r be v(5). Determine j so that 3*j**2 - r*j + d - 9*j + 6 = 0.
2
Let q = -5/24 - -97/120. Let x be 8/(-28)*-28 + -8. Find g, given that 0*g + 0 + 3/5*g**3 - q*g**4 + x*g**2 = 0.
0, 1
What is s in 6/5*s**3 - 2/5 - 2/5*s**2 - 6/5*s + 4/5*s**4 = 0?
-1, -1/2, 1
Let v(y) be the third derivative of -1/1365*y**7 + 1/130*y**5 + 2/39*y**4 - 1/390*y**6 + 0 + 4/39*y**3 + 0*y + 22*y**2. What is d in v(d) = 0?
-2, -1, 2
Let h = -32 - -32. Suppose -4*j - f + 7 + 0 = 0, h = 4*j + 2*f - 2. Find n such that -32/5*n**4 - 132/5*n - 194/5*n**2 + 176/5*n**j - 18/5 = 0.
-1/4, 3
Factor 127*g**3 - 100*g**2 - 112*g - 12709*g**4 + 12713*g**4 - 111*g**3.
4*g*(g - 4)*(g + 1)*(g + 7)
Solve 67/3*g**3 + 1/3*g**5 - 13/3*g**4 - 57*g**2 + 72*g - 36 = 0 for g.
2, 3
Let h(m) be the first derivative of m**6/27 - 10*m**5/9 + 41*m**4/9 + 68*m**3 + 165*m**2 + 150*m + 424. Suppose h(c) = 0. What is c?
-3, -1, 15
Let o(l) = -3*l**2 - 17*l - 28. Let m(i) = -i - 5. Let w(d) = -2*m(d) + o(d). Find k such that w(k) = 0.
-3, -2
Let c(s) = -s + 5. Let b be (-210)/(-63)*6/5. Let q be c(b). Find x such that -1/2*x + q - 1/2*x**2 = 0.
-2, 1
Let b(m) be the second derivative of m**5/20 + 5*m**4/4 + 25*m**3/2 + 125*m**2/2 - 347*m. Factor b(o).
(o + 5)**3
Solve -1/8*o**3 + 15/4*o + 0 - 29/8*o**2 = 0 for o.
-30, 0, 1
Solve 5/12*m + 0 - 11/12*m**3 + 1/3*m**2 + 1/6*m**4 = 0 for m.
-1/2, 0, 1, 5
Let l(t) be the third derivative of t**6/360 - 271*t**5/180 + 2278*t**4/9 + 9248*t**3/9 + 162*t**2 + t. Let l(k) = 0. Calculate k.
-1, 136
Let s(n) be the second derivative of 0 - 3/14*n**4 - 1/10*n**5 - 40*n - 2/21*n**3 + 0*n**2. Let s(c) = 0. Calculate c.
-1, -2/7, 0
Let c be (6 - 1) + 2/(-2). Factor c*q**2 - 4*q**4 + 4*q**3 - 4*q - 7*q**3 + 0*q**3 + 7*q**3.
-4*q*(q - 1)**2*(q + 1)
Let g(h) be the second derivative of 64*h**6/195 + 24*h**5/13 - 14*h**4/13 - 83*h**3/39 - 12*h**2/13 - 152*h + 1. Let g(v) = 0. Calculate v.
-4, -1/4, 3/4
Let d = -5530 + 27863/5. Let q = d + -42. Suppose -3/5*m**3 - 1/5*m + 0 + 1/5*m**4 + q*m**2 = 0. Calculate m.
0, 1
Let k(v) be the second derivative of -1/5*v**5 + 0 - 6*v - 2/3*v**4 + 2*v**3 + 0*v**2. Let k(g) = 0. Calculate g.
-3, 0, 1
Suppose 8*r - 8 = 40. Factor -r - 3*l**2 - 351*l + l**2 + 343*l.
-2*(l + 1)*(l + 3)
Let y(h) be the first derivative of h**3/5 + 117*h**2/5 + 4563*h/5 + 72. Factor y(s).
3*(s + 39)**2/5
Let v(o) be the second derivative of 0*o**3 + 0 - 2/21*o**4 + 1/35*o**5 - o + 0*o**2. Solve v(d) = 0 for d.
0, 2
Solve -3*k**2 + 12/5 - 3*k**3 + 12/5*k + 3/5*k**4 + 3/5*k**5 = 0.
-2, -1, 1, 2
Let k be -3*(-3 + 5 + 101/(-3)). Let r be 2/7 + k/35. Factor 0 + 0*j**2 - j**4 + 0*j - 1/4*j**5 - j**r.
-j**3*(j + 2)**2/4
Suppose -8*d - 6*d = -24 + 24. Find f such that -9/2*f**4 - f + d + 9/2*f**2 + f**3 = 0.
-1, 0, 2/9, 1
Let c(r) = r**2 + 13*r + 8. Let t(i) = 15*i + 9. Let p(o) = -3*c(o) + 2*t(o). What is q in p(q) = 0?
-2, -1
Factor 9*b**2 - 1/5*b**3 - 88/5 - 42/5*b.
-(b - 44)*(b - 2)*(b + 1)/5
Let v be ((-330)/(-385))/((-4)/28*-2). Solve 9/7*w + 1/7*w**v - 6/7*w**2 + 0 = 0 for w.
0, 3
Let t be (-3 - (-63)/15)*30/(-9). Let v be t/(24/(-33)) - 5. What is u in -1/4*u + 1/2 + 1/4*u**3 - v*u**2 = 0?
-1, 1, 2
Let v(i) be the third derivative of -i**8/168 + 4*i**7/105 - i**6/12 + i**5/15 - i**2 + 50*i. Factor v(r).
-2*r**2*(r - 2)*(r - 1)**2
Let n be 1 - -2 - (42/6)/(-7). What is p in p**2 + p**5 + 6*p**n - 4*p**4 + p**4 + 3*p**3 = 0?
-1, 0
Factor 3/5*b**4 + 27*b**2 + 51/5*b**3 + 129/5*b + 42/5.
3*(b + 1)**3*(b + 14)/5
Let z = 985 + -978. Let h(m) be the second derivative of -3/20*m**5 + 0*m**2 - 1/6*m**4 + 1/42*m**z - 9*m + 0*m**3 + 0 + 0*m**6. Factor h(o).
o**2*(o - 2)*(o + 1)**2
Let t = 63800/7 - 9087. Let u = t - 27. Suppose 0*l + u*l**2 - 2/7 = 0. What is l?
-1, 1
Let q(i) be the second derivative of -i**6/1620 - i**5/180 - i**4/54 + i**3/2 + 12*i. Let v(c) be the second derivative of q(c). Factor v(w).
-2*(w + 1)*(w + 2)/9
Let l be 0/3 - (-4 - 0). Factor -8*a**2 + l*a + 2*a + 4*a + 6*a**2.
-2*a*(a - 5)
Let j(t) = -t**4 - t**2 + t + 1. Let m(a) be the first derivative of -15*a**4/4 - a**3 - 3*a**2/2 - 3*a - 9. Let c(p) = 6*j(p) + m(p). Factor c(w).
-3*(w + 1)**3*(2*w - 1)
Let c(h) be the first derivative of -h**4/2 - 4*h**3/3 + 9*h**2 + 36*h + 179. Factor c(t).
-2*(t - 3)*(t + 2)*(t + 3)
Let f(m) be the third derivative of -m**7/2016 + m**6/144 + 13*m**4/8 + 41*m**2. Let c(b) be the second derivative of f(b). Let c(y) = 0. Calculate y.
0, 4
Let -5/2*r**3 + 0*r**2 - 3/2*r**4 + 3/2 + 11/4*r - 1/4*r**5 = 0. Calculate r.
-3, -2, -1, 1
Let z(f) = 2*f + 2. Let y be z(-4). Let a(l) = l**3 + 6*l**2 - l - 3. Let i be a(y). Find u such that -u**3 + u + 0*u**2 + u**4 - i*u**2 - 2*u**2 + 4*u**2 = 0.
-1, 0, 1
Let i = -77 + 233/3. Let d be (79 - 80)*(-15)/3. Factor -i*g**4 + 2/3*g**2 + 0 - 2/3*g**d + 2/3*g**3 + 0*g.
-2*g**2*(g - 1)*(g + 1)**2/3
Let p be (-8)/(-588) + 0/(0 - 1). Let u(m) be the second derivative of 0*m**3 + 0 + 6*m + 0*m**2 + 2/35*m**6 + 1/21*m**4 + p*m**7 + 3/35*m**5. Factor u(t).
4*t**2*(t + 1)**3/7
Let a(m) be the second derivative of -5*m + 0 + 0*m**2 + 33/100*m**5 - 1/5*m**3 + 9/20*m**4. Factor a(q).
3*q*(q + 1)*(11*q - 2)/5
Let r = -9903/4 + 2496. What is m in -5 + r*m**3 - 369/4*m**2 - 44*m = 0?
-2/9, 5
Suppose 25 + 11 = -2*c. Let t be (-12)/c - (-8)/6. Suppose w**4 - 3*w**4 + 4*w**2 - w**3 - t + w**3 = 0. What is w?
-1, 1
Let n(y) be the third derivative of y**6/40 + 3*y**5/20 - 2*y**3 - 12*y**2 - y. Determine g, given that n(g) = 0.
-2, 1
Let m(b) be the first derivative of 0*b**4 + 1/30*b**5 - 1/18*b**3 + 12 + 0*b + 0*b**2. Solve m(y) = 0.
-1, 0, 1
Factor 4/9*w**4 + 176/9*w**3 + 2104/9*w**2 + 196 + 1232/3*w.
4*(w + 1)**2*(w + 21)**2/9
Let l be (-4)/((209/33)/(-19)*(-4)/(-1)). Find p such that 3/2*p**2 + 0 - p - 1/2*p**l = 0.
0, 1, 2
Let d(q) be the first derivative of -q + q**2 - 32 - 1/2*q**4 + 1/3*q**3. Suppose d(y) = 0. What is y?
-1, 1/2, 1
Suppose -8*n + 8/5 + 42/5*n**2 + 8*n**3 - 10*n**4 = 0. Calculate n.
-1, 2/5, 1
Let y(a) = -2*a**3 + 33*a**2 - 144*a + 250. Let u(b) = 8*b**3 - 133*b**2 + 574*b - 1000. Let p(f) = 6*u(f) + 26*y(f). Find x such that p(x) = 0.
5
Let i = -414 + 2079/5. Let h(r) be the first derivative of 3/2*r**2 + 0*r + 3*r**3 - 15/4*r**4 + 2*r**6 - i*r**5 + 4. Solve h(x) = 0.
-1, -1/4, 0, 1
Let g(q) be the third derivative of q**6/2520 - q**5/210 - 3*q**3 - 25*q**2. Let f(v) be the first derivative of g(v). Factor f(x).
x*(x - 4)/7
Let c(v) be the third derivative of v**7/945 + v**6/135 + v**5/54 + v**4/54 + 64*v**2.