= 0.
-1, 0
Suppose -p - 7*k + 3*k = 2, 3*p - 18 = -4*k. Determine u, given that 16*u**2 + 11*u**3 - 17*u**3 + p*u**3 = 0.
-4, 0
Factor -16/7*y**2 - 16/7*y - 4/7.
-4*(2*y + 1)**2/7
Suppose 0 = u + 29 - 34. Let l(j) be the third derivative of j**2 + 1/4*j**u + 0*j + 0 + 1/40*j**6 + j**4 + 2*j**3. What is h in l(h) = 0?
-2, -1
Let a be (-8)/36*3 - 884/(-540). Let k = -10/27 + a. Factor 9/5*b - 6/5 - k*b**2.
-3*(b - 2)*(b - 1)/5
Let y(x) be the third derivative of 0*x - 7*x**2 + 85/6*x**4 + 289/12*x**5 + 0 + 10/3*x**3. Let y(r) = 0. Calculate r.
-2/17
Let b(r) be the second derivative of -r**9/3780 - r**8/840 - r**7/630 - r**4/2 - 24*r. Let d(t) be the third derivative of b(t). Factor d(f).
-4*f**2*(f + 1)**2
Let v(o) be the second derivative of -o**7/210 - 7*o**6/90 - o**5/2 - 3*o**4/2 - 8*o**3/3 - 27*o. Let q(t) be the second derivative of v(t). Solve q(x) = 0.
-3, -1
Let o(a) be the first derivative of a**9/8064 - a**8/1120 + a**7/448 - a**6/480 - 11*a**3 + 11. Let j(c) be the third derivative of o(c). Solve j(r) = 0.
0, 1, 2
Let f = 2 + 2. Suppose 0 = 3*s + 2*a - 0 + 4, -f*s - 2*a - 2 = 0. Let 2*r - 6*r**s + 4*r**2 + 1 + 0*r**2 + 3 = 0. What is r?
-1, 2
Suppose 5*i - h = -9, 0 = i - 2*h + 9 - 0. Let a be 0/(-1 + i) - -3. Factor -j**4 - j**4 - 3*j + a*j + 2*j**5.
2*j**4*(j - 1)
Let z(j) = -j**3 + 2*j**2 + 2*j. Let d(m) = -m**3 + 4*m**2 + 5*m. Let n = -23 - -25. Let g(q) = n*d(q) - 5*z(q). Let g(y) = 0. What is y?
0, 2/3
Let k(x) be the first derivative of -x**6/39 - 2*x**5/65 + x**4/26 + 2*x**3/39 - 49. Let k(l) = 0. Calculate l.
-1, 0, 1
Let n(d) = -96 + 183 - 3*d - 89 + d. Let q be n(-2). Let -41/4*o**q + 7*o**3 - 7*o - 1 = 0. Calculate o.
-2/7, -1/4, 2
Let d(j) be the second derivative of 1/2*j**3 + 3/20*j**5 - 1/40*j**6 - 3/8*j**4 - 3/8*j**2 - 17*j + 0. Determine r so that d(r) = 0.
1
Suppose -j + 3*s + 23 - 6 = 0, -5*s = -3*j + 31. Let l(y) be the first derivative of -2/3*y**3 + y**j - 1/2*y**4 + 2*y + 2. Find n such that l(n) = 0.
-1, 1
Let f(k) be the second derivative of k**6/160 - k**5/16 - 10*k**2 + 14*k. Let a(w) be the first derivative of f(w). Factor a(d).
3*d**2*(d - 5)/4
Let l(h) be the first derivative of -h**6/30 - 7*h**5/10 - 23*h**4/4 - 70*h**3/3 - 50*h**2 - h - 31. Let y(w) be the first derivative of l(w). Factor y(r).
-(r + 2)**2*(r + 5)**2
Let j(d) be the second derivative of 0*d**3 - 1/90*d**5 - 1/54*d**4 + 0 - 4*d + 0*d**2. Let j(o) = 0. What is o?
-1, 0
Let v(i) be the second derivative of i**8/36960 + i**7/4620 + i**6/1320 + i**5/660 + 11*i**4/12 - 6*i. Let k(x) be the third derivative of v(x). Solve k(j) = 0.
-1
Let a(i) be the third derivative of i**6/30 - 2*i**5/5 - 9*i**4/8 - 7*i**3/6 + 9*i**2 + i. Factor a(z).
(z - 7)*(2*z + 1)**2
Let c(j) be the first derivative of j**3/7 + 33*j**2/14 - 180*j/7 - 656. What is u in c(u) = 0?
-15, 4
Suppose 1554*n + 8 = 1556*n. Factor w - 1/4*w**n - 1/4 + w**3 - 3/2*w**2.
-(w - 1)**4/4
Let j(m) = 8*m**3 - m**2 - 99*m - 63. Let t(s) = 4*s**3 - 48*s - 32. Let z(y) = 4*j(y) - 9*t(y). Let z(x) = 0. What is x?
-3, -1, 3
Let f(v) = v**3 - v**2 - v - 1. Let c(t) = t**3 - 4*t**2 - 5*t - 5. Let s(b) = c(b) - 2*f(b). Let l be s(-2). Factor 4 - 4 + 4*w**3 - 5*w**l - 2*w**2.
-w**2*(w + 2)
Let b = -160649/5 - -32131. Find w, given that -3/5*w**2 + b*w + 0 - 3/5*w**3 = 0.
-2, 0, 1
Let n(o) be the second derivative of o**8/2520 + o**7/1890 + o**6/4320 + 3*o**4/2 + o. Let g(d) be the third derivative of n(d). Let g(s) = 0. What is s?
-1/4, 0
Let x(m) = -4*m**2 - m**2 - 3 + 5*m**2 + 5*m + m**2. Let b be x(-6). Factor -4*y + y**3 - 11*y**2 + 11*y**2 - b*y**2.
y*(y - 4)*(y + 1)
Suppose -22 = -2*b + 3*i, -5*b + 4*i + 22 = -19. Suppose b*o - 31 + 6 = -5*a, -5*a + 5 = 0. Factor 4*d**2 - d - 7*d**2 + o*d.
-3*d*(d - 1)
Let p(g) be the third derivative of g**9/1512 - g**8/210 + g**7/105 - 8*g**3/3 - 41*g**2. Let b(m) be the first derivative of p(m). Suppose b(r) = 0. What is r?
0, 2
Suppose 0 = t - 3*t + 10. Suppose 14 = t*i - 1. Solve s**2 - 7*s**4 - s**2 + s**i + 5*s**4 + s**5 = 0.
0, 1
Let h = -2/3169 - -3325/247182. Let l(t) be the second derivative of 1/13*t**2 - 2*t + 2/39*t**3 + h*t**4 + 0. Solve l(b) = 0 for b.
-1
Let z(n) be the second derivative of n**8/3360 - n**7/630 - n**6/120 + n**4/4 + 4*n. Let h(a) be the third derivative of z(a). Suppose h(t) = 0. What is t?
-1, 0, 3
Let y(x) = -12*x**2 - 20*x + 16. Let r(n) = n**2 - 1. Let l(t) = -3*t + 58. Let w be l(19). Let z(s) = w*y(s) + 16*r(s). Find p such that z(p) = 0.
0, 5
Let w(z) = -z**4 - z**3 - z**2 - 1. Let p(o) = -2*o**5 + 16*o**4 - 6*o**3 + 2*o**2 + 14*o. Let a(v) = p(v) + 6*w(v). Let a(q) = 0. Calculate q.
-1, 1, 3
What is g in -3*g**4 - 2*g**4 - 20*g**2 + 16*g**3 + 9*g**3 = 0?
0, 1, 4
Let f(u) = u**3 - 21*u**2 - 77*u + 716. Let q be f(23). Solve 1/2*c**2 - 1/2*c**q + 1/2*c - 1/2 = 0 for c.
-1, 1
Let s(v) = 2*v**2 + 213*v + 6498. Let c(r) = r**2 + 105*r + 3249. Let a(m) = 5*c(m) - 3*s(m). Factor a(i).
-(i + 57)**2
Let q(c) = -c**2 - 28*c + 176. Let k(f) = -3*f**2. Let r(b) = k(b) + q(b). Factor r(x).
-4*(x - 4)*(x + 11)
Suppose 98 + 1/3*n**4 + 125/3*n**2 + 19/3*n**3 + 329/3*n = 0. Calculate n.
-7, -3, -2
Let d(q) = 4*q**3 - q**2 + 5*q + 2. Suppose 13*r + 40 = 9*r. Let m(u) = -u**3 - 1. Let z(b) = r*m(b) - 2*d(b). Factor z(i).
2*(i - 1)**2*(i + 3)
Let l(f) be the first derivative of -f**6/216 + f**5/12 - 2*f**3 + 11. Let q(k) be the third derivative of l(k). What is a in q(a) = 0?
0, 6
Let s(d) = -d**3 + 3*d**2 + 16*d. Let u(l) = l**3 - 2*l**2 - 16*l + 2. Let p(r) = -5*s(r) - 6*u(r). Determine j so that p(j) = 0.
-6, 1, 2
Let c(f) be the first derivative of 4/3*f - 5/3*f**4 + 17/9*f**3 + 1 - 7/5*f**5 + 10/3*f**2. Determine h, given that c(h) = 0.
-1, -2/3, -2/7, 1
Let f be -51 - -48 - (-2 + 1 + -5 + 1). Factor 0 - 4/3*a - 2/3*a**f.
-2*a*(a + 2)/3
Suppose 85*w - 43*w = 45*w. Let p(i) be the second derivative of -2/15*i**6 + 0*i**3 - 1/3*i**4 + w*i**2 + 6*i + 0 - 2/5*i**5. Factor p(s).
-4*s**2*(s + 1)**2
Let b(k) be the first derivative of k**4/14 + 22*k**3/7 - 69*k**2/7 + 10*k - 10. Factor b(r).
2*(r - 1)**2*(r + 35)/7
Let a(i) = 4*i**2 - 4*i + 7. Let z(y) = 3*y**2 - 3*y + 6. Let r(c) = -4*a(c) + 5*z(c). Solve r(j) = 0 for j.
-1, 2
Let g(o) be the first derivative of -12 - 4*o**2 + 0*o - o**4 - 20/3*o**3 + 4*o**5 + 2*o**6. Let g(a) = 0. What is a?
-1, -2/3, 0, 1
Suppose m - 2*u - 8 = 0, 0*m - 2*u = 4*m - 2. Suppose -m*n = -6*n + 8. Factor -3*b + 88*b**n - 6 + 0*b - 85*b**2.
3*(b - 2)*(b + 1)
Let b(t) be the third derivative of -1/20*t**6 - 2/105*t**7 + 3/10*t**5 - t**3 + 27*t**2 - 1/12*t**4 + 0*t + 0. Determine a so that b(a) = 0.
-3, -1/2, 1
Let f(a) be the second derivative of -a**7/4620 + a**6/330 - a**5/55 + 2*a**4/33 - a**3/3 - 2*a. Let i(y) be the second derivative of f(y). Solve i(r) = 0.
2
Let r(j) = 2*j**3 + 5*j**2 - 24*j - 46. Let f be r(-4). Factor -8/5 + 8/5*w - 2/5*w**f.
-2*(w - 2)**2/5
Let w = 348/13 - 1701/65. Suppose -6/5*j**2 - w*j**3 + 0 - 3/5*j = 0. What is j?
-1, 0
Let d(y) be the second derivative of -13*y**4/48 + 11*y**3/24 + y**2/4 + 81*y. Let d(t) = 0. Calculate t.
-2/13, 1
Let s(a) be the third derivative of a**7/3780 + 2*a**6/405 + 4*a**5/135 - 3*a**3/2 + 30*a**2. Let c(t) be the first derivative of s(t). Factor c(m).
2*m*(m + 4)**2/9
Suppose -q - 21 = 5*d - 24, -2*q = 4*d - 6. Factor -2/11*t**3 - 2/11*t**2 + 0 + d*t + 2/11*t**4 + 2/11*t**5.
2*t**2*(t - 1)*(t + 1)**2/11
Let p(u) = u**3 + 26*u**2 + 24*u - 26. Let g be p(-25). Let b be (-14)/(-4) + (-10)/(-5)*g. Let b*f - 9/4 - 1/4*f**2 = 0. What is f?
3
Suppose -72 - 3/4*t**2 - 21*t = 0. Calculate t.
-24, -4
Factor -41/2*u**2 + 22*u - 3/2.
-(u - 1)*(41*u - 3)/2
Let l(j) be the first derivative of 5*j**6/36 + 137*j**5/30 - 77*j**4/8 + 31*j**3/18 + 29*j**2/6 + 264. Determine p, given that l(p) = 0.
-29, -2/5, 0, 1
Let a be 3 + ((-1056)/36)/11. Let q(n) be the first derivative of -12 - a*n**3 + 1/2*n + 1/4*n**2. Factor q(w).
-(w - 1)*(2*w + 1)/2
Suppose 0 - 18/11*h**3 + 10/11*h**2 + 8/11*h = 0. Calculate h.
-4/9, 0, 1
Suppose 2*z + 7 = 19. Let m(y) be the second derivative of 0 + 1/10*y**z + 1/42*y**7 - 1/6*y**4 - 10*y - 1/2*y**3 - 1/2*y**2 + 1/10*y**5. What is d in m(d) = 0?
-1, 1
Let c(y) be the second derivative of 0 + 0*y**2 + 1/6*y**4 - 5/3*y**3 - 23*y. Solv