e first derivative of i(c). Solve p(v) = 0.
-2, 0, 1
Let h be (5*1)/(-12 - (-174)/12). Let g(w) be the first derivative of -4/3*w**3 + 8*w - 1 - h*w**2. Let g(i) = 0. Calculate i.
-2, 1
Factor -336/5*u**2 + 288/5*u + 338/5*u**4 + 0 - 286/5*u**3.
2*u*(u + 1)*(13*u - 12)**2/5
Let q(b) be the third derivative of -b**7/1260 - b**6/360 + 11*b**5/360 + b**4/12 - b**3 + 280*b**2. Suppose q(g) = 0. What is g?
-3, 2
Let p(w) = 36*w**4 - 84*w**3 + 64*w**2 - 28*w. Let b(g) be the second derivative of -g**3/6 - 10*g. Let x(s) = -12*b(s) + p(s). Factor x(t).
4*t*(t - 1)*(3*t - 2)**2
Let k(d) be the first derivative of 63/2*d**2 - 3/4*d**4 + 9*d**3 + 33*d + 20. Factor k(z).
-3*(z - 11)*(z + 1)**2
Suppose -4*v - 28 = -4*l, -29*l + 33*l + 12 = -4*v. Factor 4/3 + 50/3*p**l - 10*p.
2*(5*p - 2)*(5*p - 1)/3
Let h be 36/(-30)*7 - -4. Let b = h - -49/10. Determine a so that b*a + 1/4 + 1/4*a**2 = 0.
-1
Suppose 5*s = 25, -4*r - 2*s + 4 + 26 = 0. Let v(u) be the second derivative of 1/4*u**2 + r*u + 1/4*u**3 + 1/40*u**5 + 0 + 1/8*u**4. What is i in v(i) = 0?
-1
Let c(g) be the third derivative of -2*g**7/105 + g**6/6 + g**5/15 - 5*g**4/6 + 33*g**2. Suppose c(s) = 0. What is s?
-1, 0, 1, 5
Let f = 528/19 - 6317/228. Let y(v) be the second derivative of 0 + 0*v**3 - 1/42*v**7 + 1/20*v**5 + 5*v - f*v**4 + 1/30*v**6 + 0*v**2. Let y(a) = 0. What is a?
-1, 0, 1
Suppose 73*o**4 + 13*o**2 + o**5 + 2*o**5 + 15*o**3 + 4*o - 66*o**4 - 2*o**5 = 0. Calculate o.
-4, -1, 0
Factor -12 - 11*a - 15*a - 10 - 2 - 2*a**2.
-2*(a + 1)*(a + 12)
Suppose 24 = -x + 3*x - 4*k, -4*x + 33 = -5*k. Suppose i + x*i = 0. Factor i*v - v**2 + 0*v.
-v**2
Suppose -2*s - 4*q = -0*s + 6, -10 = 5*s + 5*q. Let d be (5 - s) + -6 + 2. Determine z, given that -1/3*z**d - 4/3 - 4/3*z = 0.
-2
Let f = 8881 + -26633/3. Let 0*o + f*o**3 + 2/3*o**5 + 0 - 8/3*o**4 - 4/3*o**2 = 0. Calculate o.
0, 1, 2
Let c(j) = -8*j**2 + 319*j - 4802. Let y(t) = -17*t**2 + 641*t - 9603. Let v(k) = -7*c(k) + 3*y(k). Find o, given that v(o) = 0.
31
Let j be (-2)/7 - (-6)/21. Let g = 304 + -1215/4. Solve -1/4*n**4 + g*n**2 + j*n**3 + 0 + 0*n = 0.
-1, 0, 1
Let o(l) be the second derivative of 2*l**7/105 - l**5/15 - 4*l**2 - 6*l. Let t(n) be the first derivative of o(n). Factor t(v).
4*v**2*(v - 1)*(v + 1)
Suppose -5*d + 4*r - 30 = 0, -d = 4*d + 5*r - 15. Let u be d/3*(-33)/44. Let -u - 3*g - 9/2*g**2 = 0. What is g?
-1/3
Let o(z) be the first derivative of -15/2*z**2 + 3*z**5 - 1/2*z**6 - 15/2*z**4 - 21 + 10*z**3 + 3*z. Suppose o(k) = 0. Calculate k.
1
Suppose 0 = -58*o + 49*o. Let c(k) be the second derivative of 2/3*k**3 - 4*k + o*k**2 + 0 + 2/3*k**4 + 1/5*k**5. Factor c(i).
4*i*(i + 1)**2
Suppose -5*k + 20 = -0*k - 4*f, 0 = 5*k - f - 5. Let q(t) be the first derivative of -1/5*t**5 + 1/2*t**4 + k*t + 0*t**2 - 1/3*t**3 - 4. Factor q(a).
-a**2*(a - 1)**2
Let u(n) be the second derivative of -5*n**7/42 - 5*n**6/6 + 13*n**5/4 - 35*n**4/12 + 24*n. Factor u(c).
-5*c**2*(c - 1)**2*(c + 7)
Let c(p) be the second derivative of 0 + 15*p - 3/4*p**2 + 1/48*p**4 - 1/24*p**3. Factor c(y).
(y - 3)*(y + 2)/4
Let c = -837/4 + 87889/420. Let u(k) be the second derivative of -2/21*k**3 + 0*k**2 + 2*k - 1/42*k**4 + 0 + 1/35*k**5 + c*k**6. Factor u(q).
2*q*(q - 1)*(q + 1)*(q + 2)/7
Let b = -1 + 4. Find h, given that -9*h**3 + 4*h**3 + 3*h**3 + 7*h**b = 0.
0
Let z(n) be the third derivative of n**8/336 + n**7/84 - n**6/72 - n**5/12 - 2*n**3 - 11*n**2. Let i(f) be the first derivative of z(f). Factor i(w).
5*w*(w - 1)*(w + 1)*(w + 2)
Suppose -r - 4*i - 12 = -5*r, 0 = 2*i - 10. Suppose 2*h - 6*h = -r. Let 80*g**2 + 32*g**3 + h + 2 + 4*g + 30*g = 0. What is g?
-2, -1/4
Let t(s) be the second derivative of -s**6/90 + s**5/10 + 7*s**4/36 + 149*s. Determine x so that t(x) = 0.
-1, 0, 7
Solve -29*v**2 - 11 - 4*v + 14 + 30*v**2 = 0 for v.
1, 3
Suppose 69/4*m**2 - 39/4*m + 3/2 - 3/4*m**3 + 21/2*m**5 - 75/4*m**4 = 0. What is m?
-1, 2/7, 1/2, 1
Let x = 7/31 + 17/62. Let s(w) = w**2 - 10*w - 22. Let k be s(12). Solve -x*y**k + 3/2 - y = 0 for y.
-3, 1
Factor 2/3*n**3 + 0*n**2 + 2/3*n**4 + 0*n + 0.
2*n**3*(n + 1)/3
Let r be ((-1)/(77/(-7)))/(3 - -18). Let s(k) be the second derivative of -1/55*k**6 + 0*k**2 - 1/66*k**4 + 3/110*k**5 + r*k**7 - 9*k + 0*k**3 + 0. Factor s(b).
2*b**2*(b - 1)**3/11
Let -149*y**3 - 36*y**2 + 8*y**4 + 9*y**5 + y**4 + 175*y**3 + 8*y - 16*y**5 = 0. Calculate y.
-2, 0, 2/7, 1, 2
Factor -12*b + 138*b**2 - 40*b - 16 + 145*b**2 - 295*b**2.
-4*(b + 4)*(3*b + 1)
Let r be (-54)/(-24) + 1/(-4). Let i(z) = 2*z**2 + z - 2. Let f be i(-2). Find t, given that -f*t + 3*t - t**2 - r + 4*t = 0.
1, 2
Factor -4/3 + 29/3*n**2 + 7/3*n**5 - 4/3*n - 23/3*n**3 - 5/3*n**4.
(n - 1)**3*(n + 2)*(7*n + 2)/3
Let w(p) be the first derivative of 0*p + 3*p**4 - 8*p**2 - 2*p**5 + 8/3*p**3 + 1/3*p**6 - 2. Suppose w(z) = 0. What is z?
-1, 0, 2
Let m(u) be the first derivative of -u**5/60 + u**4/108 + 6*u + 3. Let c(j) be the first derivative of m(j). Solve c(y) = 0.
0, 1/3
Suppose 2*i = 6*i + 4, -3*i - 33 = -j. Suppose 29*o - j*o + 5 = 0. Factor 48*q + 24*q**3 + 96/5 + 48*q**2 + 3/5*q**o + 6*q**4.
3*(q + 2)**5/5
Find r such that 17*r**2 + 12*r**2 + 484 + 12*r**2 + 44*r - 40*r**2 = 0.
-22
Let t = 11944 - 11942. Factor 8/3 + 10/3*c**3 + 32/3*c + 34/3*c**t.
2*(c + 1)*(c + 2)*(5*c + 2)/3
Let f = -1639 - -11479/7. Factor f - 3/7*v**2 + 3/7*v.
-3*(v - 2)*(v + 1)/7
Let t = 37042/5 - 7408. Find g, given that t*g**2 + 8/5*g + 8/5 = 0.
-2
Let n(q) be the third derivative of 3/80*q**6 - 1/70*q**7 + 0*q - 1/40*q**5 - 7*q**2 + 0*q**3 + 0*q**4 + 0. Factor n(x).
-3*x**2*(x - 1)*(2*x - 1)/2
Let n(u) be the first derivative of u**4/10 - 4*u**3/15 + u**2/5 + 132. Suppose n(d) = 0. Calculate d.
0, 1
Let a(d) = 13*d**2 - 2*d. Let w be a(-1). Suppose 24*v - 29*v = -2*h + w, 0 = -5*h - 5*v - 15. Factor 0*t**2 + 1/3*t**5 + h + 0*t**4 - 1/3*t**3 + 0*t.
t**3*(t - 1)*(t + 1)/3
Let l(t) = -4*t**2 - 46*t - 99. Let b(j) = -j**2 + j - 1. Let y(h) = -b(h) - l(h). Factor y(a).
5*(a + 4)*(a + 5)
Suppose 44 = 4*y + 4*k, 0 = -3*y + k + 8 + 5. Let j(n) be the second derivative of -3/20*n**5 + 0 + 0*n**3 + 0*n**2 - y*n - 1/4*n**4. Factor j(h).
-3*h**2*(h + 1)
Factor -3/5*r**3 - 18/5*r**2 - 24/5 - 36/5*r.
-3*(r + 2)**3/5
Suppose -11*i + 72 = -15*i. Let o(t) = -t**2 + 3*t + 9. Let n(c) = -c - 1. Let q(a) = i*n(a) - 2*o(a). Suppose q(b) = 0. Calculate b.
-6, 0
Factor -287*j**2 + 36*j + 0*j**3 + 23 + 13 + 283*j**2 - 4*j**3.
-4*(j - 3)*(j + 1)*(j + 3)
Let m be (5 - 4)*(-2 + 2). Suppose -4*l + m*l + 12 = 0. Factor 11*f**3 + 3*f - 14*f**l + 6*f**2 - 3*f.
-3*f**2*(f - 2)
Let c be ((-660)/50 + 16)/(3/6). Solve c*o**2 - 24*o - 2/5*o**3 + 144/5 = 0.
2, 6
Let z be 5/3*1/(-2)*-3. Let 5/2*i**2 - z*i**4 + 0*i + 0*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let y be -3 + 4/(12/21). Let -12*a**2 - 4*a + 0*a - 4*a**y - 12*a**3 + 0*a**2 = 0. What is a?
-1, 0
Let w be 312/66 - (-24)/88. Let o(q) be the first derivative of 0*q**w + 0*q - 5 - 4/21*q**6 + 6/7*q**3 + 2/7*q**2 + 11/14*q**4. Solve o(b) = 0.
-1, -1/2, 0, 2
Factor -750*s**2 + 755*s**2 - 435 - 105*s - 325*s.
5*(s - 87)*(s + 1)
Let s be -6*(12/9 - 2). Let d = s - 0. Let 56*p**3 + 8*p**5 + 122*p**2 + 28*p**d + 8 - 3*p**3 + 56*p + 22*p**4 + 63*p**3 = 0. What is p?
-2, -1, -1/4
Let o(x) be the third derivative of 1/30*x**5 + 0*x - 1/12*x**4 + 0 + 0*x**3 - 3*x**2. Let o(r) = 0. Calculate r.
0, 1
Let i(k) be the third derivative of 0 - 21*k**2 - 1/40*k**6 + 0*k**4 + 0*k + 1/30*k**5 + 0*k**3 + 1/210*k**7. Factor i(s).
s**2*(s - 2)*(s - 1)
Let i(l) be the second derivative of l**6/3960 + l**5/1320 - l**4/132 + 15*l**3/2 - 2*l - 2. Let j(a) be the second derivative of i(a). Solve j(s) = 0.
-2, 1
Let m(i) = 2*i**2 + 312*i + 12172. Let d(p) = 1. Let u(s) = 4*d(s) - m(s). Factor u(l).
-2*(l + 78)**2
Let o(p) be the first derivative of 4*p**4/9 - 70*p**3/27 + 44*p**2/9 - 8*p/3 + 3. Factor o(m).
2*(m - 2)**2*(8*m - 3)/9
Let r be (-8)/(-44) + 84/22. Let t be (-2)/(-4)*((-9)/3 + r). Solve 1/2*i**2 + t*i + 0 = 0.
-1, 0
Suppose 10*m - 34 = 6. Suppose 2 = -m*z - 2, -5*z = -o + 7. Factor -1/3*t**o + 0 + 0*t.
-t**2/3
Let c = -862 + 866. Let g(y) be the second derivative of 1/56*y**7 + 0*y**5 - 1/8*y**3 + 7*y - 1/20*y**6 + 1/8*y**c + 0 + 0*y**2. Factor g(t).
3*t*(t - 1)**3*(t + 1)/4
Let r(i) = 5*i**2 