 = 16*j**3 + 32*j**2 - 36*j - 79. Let s(r) = -2*d(r) - 7*k(r). Let s(q) = 0. What is q?
-2, 2
Let p(w) be the second derivative of 1/100*w**5 + 1/20*w**4 - 2/5*w**2 + 0*w**3 + 21*w + 0. Suppose p(c) = 0. Calculate c.
-2, 1
Let p(r) = -155*r**3 + 195*r**2 - 295*r. Let x be (-595)/21*(0 - -1)*-3. Let w(h) = 11*h**3 - 14*h**2 + 21*h. Let i(f) = x*w(f) + 6*p(f). Factor i(c).
5*c*(c - 3)*(c - 1)
Let s(i) be the third derivative of i**5/195 + i**4/12 + 2*i**3/13 - 17*i**2. Factor s(c).
2*(c + 6)*(2*c + 1)/13
Let l = 3603/4048 + 7/368. Solve -l*g - 6/11 + 2/11*g**3 - 2/11*g**2 = 0.
-1, 3
Let k(w) be the second derivative of 0*w**3 - 3*w + 0 - 2/135*w**5 - 1/540*w**6 - 1/27*w**4 - 3/2*w**2. Let l(b) be the first derivative of k(b). Factor l(v).
-2*v*(v + 2)**2/9
Let m(r) be the third derivative of -1/10*r**5 + 0*r**3 + 0*r**4 + 0 + 0*r - 1/40*r**6 - 17*r**2. Suppose m(p) = 0. What is p?
-2, 0
Find c such that -1/3*c**2 - 95*c - 284/3 = 0.
-284, -1
Factor 1/11*u**3 + 0 - 1/11*u**5 + 1/11*u**4 + 0*u - 1/11*u**2.
-u**2*(u - 1)**2*(u + 1)/11
Let t(b) be the second derivative of b - 1/210*b**5 + 5/2*b**2 + 0 - 3/7*b**3 - 1/14*b**4. Let s(j) be the first derivative of t(j). Factor s(x).
-2*(x + 3)**2/7
Let u(s) be the third derivative of -s**9/151200 - 7*s**5/20 - 9*s**2. Let n(t) be the third derivative of u(t). What is f in n(f) = 0?
0
Suppose t - 3*v = -3*t + 289, -2*t + 2*v = -146. Let f be ((-60)/t)/(15/(-28)). Let 2/5*z**2 - 8/5*z + f = 0. What is z?
2
Let g = -179/6 - -31. Let p(d) be the third derivative of 7*d**2 - 2/3*d**3 + 0*d + g*d**4 + 0 + 4/15*d**6 - 14/15*d**5. Determine w so that p(w) = 0.
1/4, 1/2, 1
Let u = -128 + 141. Suppose u*p - 7*p - 12 = 0. Find g such that 0 + 3*g + 3/2*g**p = 0.
-2, 0
Let b(j) = -j. Let c(z) = z**2 + 14*z + 18. Let p(i) = -3*b(i) + c(i). Let g be p(-16). Factor 2/5*l**g + 0 + 2/5*l - 2/5*l**4 - 2/5*l**3.
-2*l*(l - 1)*(l + 1)**2/5
Let b(l) = l**3 - 41*l**2 - l + 57. Let g be b(41). Let t(u) be the first derivative of 2 - 4/3*u**3 - g*u + 8*u**2. Suppose t(x) = 0. What is x?
2
Let m(p) be the third derivative of p**7/280 - p**6/80 - p**5/80 + p**4/16 - 4*p**2 + 22*p. Factor m(k).
3*k*(k - 2)*(k - 1)*(k + 1)/4
Let u(f) = -f**4 + f + 1. Let k(x) = -3*x**4 + 18*x**3 - 48*x**2 + 6*x + 6. Let i(z) = k(z) - 6*u(z). Factor i(y).
3*y**2*(y - 2)*(y + 8)
Let t be 15/(-3) + (-301)/(-60). Let x(y) be the second derivative of 0*y**2 + t*y**5 + 0*y**3 + 0 + 1/72*y**4 + y. Solve x(g) = 0.
-1/2, 0
Factor -428*n**2 + 557*n**3 - 1055*n**3 + 558*n**3 - 408*n - 64.
4*(n - 8)*(3*n + 2)*(5*n + 1)
Let j be 5 + -9 + 2 + 5. Let f = 16 - 14. Let i(b) = -b**3 + 5*b**2 - 4*b. Let o(z) = -4*z**2 + 4*z. Let s(v) = f*i(v) + j*o(v). Solve s(k) = 0.
-2, 0, 1
Let w(r) be the first derivative of -4/45*r**5 + 8/27*r**3 + 7/27*r**6 - 4/9*r - 7/9*r**4 + 11 + 7/9*r**2. What is d in w(d) = 0?
-1, 2/7, 1
Let b(a) be the third derivative of -a**6/90 - a**5/45 + 5*a**4/18 - 2*a**3/3 + 2*a**2 + 137. Suppose b(d) = 0. What is d?
-3, 1
Let l(y) be the second derivative of y**7/21 + 2*y**6/15 - 3*y**5/40 - 7*y**4/24 - y**3/6 + 39*y - 1. Solve l(p) = 0 for p.
-2, -1/2, 0, 1
Let l = -8798 - -96780/11. Factor -l*q**3 - 4/11 - 1/11*q**4 + 3/11*q**2 + 4/11*q.
-(q - 1)**2*(q + 2)**2/11
Let i(y) be the second derivative of 4/105*y**6 + 5/21*y**3 + 0 - 1/147*y**7 - 1/21*y**4 - 2/7*y**2 - 2/35*y**5 + 10*y. Suppose i(o) = 0. Calculate o.
-1, 1, 2
Let u(q) be the third derivative of -q**7/2520 - q**6/360 - q**5/120 + q**4/24 + 4*q**2. Let f(d) be the second derivative of u(d). Factor f(n).
-(n + 1)**2
Suppose -19*d = -10*d + 18. Let v be d/(-9)*24 - 0. Factor v*z**2 + 8/3 + 4/3*z**3 + 20/3*z.
4*(z + 1)**2*(z + 2)/3
Let j(a) be the first derivative of 7 + 9/20*a**4 + 3/5*a + 7/5*a**3 + 3/2*a**2. What is p in j(p) = 0?
-1, -1/3
Let t(y) = -2*y**2 - y + 1. Let f(v) = 9*v**2 - 105*v - 24. Let z(i) = f(i) - 6*t(i). Find p such that z(p) = 0.
-2/7, 5
Let c = 533/37512 - 1/3126. Let r(m) be the second derivative of 0*m**2 + c*m**4 - 1/12*m**3 + 0 + 4*m. Let r(p) = 0. Calculate p.
0, 3
Let o = -20399/3 + 6800. Suppose -7/3*g + 2*g**3 - 8/3*g**2 + 0 + o*g**5 + 8/3*g**4 = 0. Calculate g.
-7, -1, 0, 1
Let r = -18950 + 18950. What is i in r + 3*i**2 - 3/4*i**3 - 3*i = 0?
0, 2
Let y(t) be the first derivative of 0*t**2 + 5/3*t**3 + 2 + 0*t. Factor y(z).
5*z**2
Suppose 4*a + a = 455. Let i = a + -89. Factor 3/5*r**i + 2/5 - r.
(r - 1)*(3*r - 2)/5
Let t be (6/(-27))/((-4)/6). Let c be 4/2 + (-8)/6. Find f, given that -c + t*f**3 - 4/3*f**2 + 5/3*f = 0.
1, 2
Let p(a) be the second derivative of 5/2*a**2 - 1/12*a**5 - 5/12*a**4 + 5/18*a**3 + 0 - 6*a. Determine n, given that p(n) = 0.
-3, -1, 1
Let t(v) = -5*v**3 + 14*v**2 - 72*v + 72. Let w(b) = -4*b**3 + 14*b**2 - 69*b + 72. Let p(i) = 3*t(i) - 4*w(i). Solve p(h) = 0 for h.
2, 6
Find d, given that 18*d**4 + 1/2*d + 0 + 24*d**3 + 13/2*d**2 = 0.
-1, -1/6, 0
Factor 72/11*r**3 + 2/11*r**4 + 972/11*r**2 + 13122/11 + 5832/11*r.
2*(r + 9)**4/11
Let n(y) = 5 - 3*y + 2*y - 5. Let m be n(-3). Find x such that -3*x**2 + x**m - x + 2*x**3 - 5*x = 0.
-1, 0, 2
Let a be (2 + (-2 - 0))/(-2 - 2). Let i be a*(-4 - (-4 - -1)). Determine q, given that -2/5*q - 2/5*q**2 + i = 0.
-1, 0
Let r(p) be the first derivative of p**3/6 + 41*p**2/4 + 20*p + 134. Solve r(t) = 0 for t.
-40, -1
Let 2 - 1/2*u**3 - 2*u**2 + 1/2*u = 0. Calculate u.
-4, -1, 1
Let t = -940 + 947. Let z(g) be the second derivative of -t*g + 0*g**2 + 2/9*g**3 + 0 - 1/18*g**4. Solve z(d) = 0 for d.
0, 2
Let k(y) = -y**4 + y**3 + 1. Let f(b) = -16*b**3 - 10*b**2 + 14*b + 10. Let o(q) = -f(q) - 2*k(q). Factor o(z).
2*(z - 1)*(z + 1)**2*(z + 6)
Let y(j) = -3*j**3 - 8*j**2 + 23*j + 28. Let v(i) = 14*i**3 + 39*i**2 - 114*i - 139. Let l(g) = -2*v(g) - 11*y(g). Let l(d) = 0. Calculate d.
-3, -1, 2
What is y in -1518*y - 69*y**4 - 300 + 489*y**3 - 2*y**5 + 2478*y - 1083*y**2 + 5*y**5 = 0?
1, 10
Let b(t) be the third derivative of -t**5/240 + 47*t**4/48 - 2209*t**3/24 + 101*t**2 - 1. Determine l so that b(l) = 0.
47
Let r = -2318 + 2323. Let k(p) be the first derivative of -25/4*p**2 - 10/3*p**3 - 5/2*p - r. Solve k(c) = 0 for c.
-1, -1/4
Suppose -6*p = -3*p - 15. Suppose 3 - 42*u**2 + p + 52*u**2 - 2*u**3 - 19*u + 3*u = 0. Calculate u.
1, 2
Let d(n) be the first derivative of 8/5*n**5 - 5/2*n**4 - 2*n - 1 + 5*n**2 - 2*n**3. What is f in d(f) = 0?
-1, 1/4, 1
Let x(l) = l**2 + 2*l - 10. Let f be x(-7). Let u be (-35)/f + 4/2. Suppose u*p + 0 - 3/5*p**2 = 0. What is p?
0, 1
Let h(r) be the third derivative of -r**5/100 + 2*r**3/5 - 11*r**2. Determine l so that h(l) = 0.
-2, 2
Let g(u) be the second derivative of -3/10*u**6 + 1/2*u**4 + 6*u + 0 + 3/2*u**2 - 1/14*u**7 + 3/2*u**3 - 3/10*u**5. Suppose g(a) = 0. What is a?
-1, 1
Suppose -2*w = -0*w - 238. Factor -w*k - 4*k**3 + 124*k - k**3.
-5*k*(k - 1)*(k + 1)
Let y be 28/8*(-1 - 1). Let a be y/(-3) - (2 + (-25)/15). Factor 0 + 1/3*r**a + 1/6*r**3 + 0*r.
r**2*(r + 2)/6
Let i(g) be the third derivative of -g**8/112 + 3*g**7/70 + g**6/40 - 11*g**5/20 + 3*g**4/2 - 2*g**3 + 60*g**2. Let i(k) = 0. What is k?
-2, 1, 2
Let t(y) be the second derivative of -y**7/840 - y**6/90 + y**5/40 + 3*y**4/4 - 4*y**3/3 - 9*y. Let r(x) be the second derivative of t(x). Factor r(v).
-(v - 2)*(v + 3)**2
Let a be (-134)/(-176) + 1 + (-7)/4. Let p = 181/440 - a. Suppose 6/5*v**3 - 2/5*v**5 + 2*v**2 - p*v**4 + 0 + 4/5*v = 0. Calculate v.
-1, 0, 2
Let u = -2984 - -8974/3. Solve 4 + 2/3*j**3 + u*j + 4*j**2 = 0 for j.
-3, -2, -1
Let h = 7542 + -7542. Factor -3/4*v**2 - 3/4*v**4 + h - 3/2*v**3 + 0*v.
-3*v**2*(v + 1)**2/4
Let w(o) be the first derivative of -o**3/5 - 99*o**2/5 + 201*o/5 - 846. Suppose w(x) = 0. What is x?
-67, 1
Let a = -43379/180 + 241. Let p(x) be the third derivative of -5/36*x**4 - a*x**6 + 0 - 4*x**2 - 2/9*x**3 + 0*x - 2/45*x**5. Factor p(u).
-2*(u + 1)**2*(u + 2)/3
Let q(d) be the first derivative of 11*d**3/3 + d**2 + d + 5. Let g be q(-1). Let -10*c**2 - g*c**2 + 6*c**4 - 4*c + 18*c**2 + 8*c**3 = 0. What is c?
-1, 0, 2/3
Solve -15 - 100*t**2 - 5*t**3 + 5*t**4 + 15 = 0 for t.
-4, 0, 5
Let w(r) be the second derivative of -r**6/10 + 9*r**5/5 - 3*r**4/4 - 104*r**3 - 288*r**2 - 2*r - 153. Suppose w(c) = 0. What is c?
-3, -1, 8
Let i(c) = 5*c**4 - 47*c**3 - 174*c**2