Solve j(i) = 0.
-11
Suppose 11 - 2 = 3*h. Factor 3*p - 3*p**2 - 6*p**3 - 69 + 4*p**h + 72 - p**3.
-3*(p - 1)*(p + 1)**2
Factor -34*m**3 + 4*m**4 + 140*m**2 + 61*m - 14*m**3 - 13*m - 144.
4*(m - 6)**2*(m - 1)*(m + 1)
Let h = 15570 + -15568. Factor -2/7*m**h + 2/7*m + 4/7.
-2*(m - 2)*(m + 1)/7
Let c(i) be the second derivative of -1/20*i**4 + 1/10*i**3 + 0 + 9*i + 3/5*i**2. Factor c(f).
-3*(f - 2)*(f + 1)/5
Let c be (-3)/(-6)*(44/10 - 4). Factor c*x**2 + 2/5*x + 1/5.
(x + 1)**2/5
Let o(j) be the third derivative of -j**5/12 - 25*j**4/24 + j**2 + 5. Let o(r) = 0. What is r?
-5, 0
Let z = 463 + -463. Let g(k) be the third derivative of 4/3*k**3 + 1/2*k**4 + 0 + 3*k**2 + z*k + 1/15*k**5. Factor g(f).
4*(f + 1)*(f + 2)
Suppose l - 34 = -4*s, 662*l - 664*l - 3*s = -28. Let 1/6*p**l + 1/3*p + 0 = 0. Calculate p.
-2, 0
Let j(f) = 2*f**2 + 8*f + 3. Let r be j(-4). Let 0 - i**2 - 2*i**2 + i + 5*i - r = 0. What is i?
1
Let u be ((-660)/(-33))/(-4*(-1)/6). Let r = u - 30. Factor -t + 2*t**2 - 9/4*t**4 + 3/4*t**3 + r.
-t*(t + 1)*(3*t - 2)**2/4
Let z be (-70)/(-21)*100/1250. Factor -2/15*u + 2/15*u**3 - z*u**2 + 4/15.
2*(u - 2)*(u - 1)*(u + 1)/15
Let o(z) = 36*z**2 + 805*z + 7. Let v(s) = -21*s**2 - 403*s - 4. Let j(k) = -4*o(k) - 7*v(k). Let j(x) = 0. Calculate x.
0, 133
Let z(k) be the third derivative of -k**5/120 - 13*k**4/12 - 17*k**3/4 - k**2 + 201. Factor z(g).
-(g + 1)*(g + 51)/2
Factor -154 + 7*f - 17 - 12*f - 54 - 5*f**2 - 65*f.
-5*(f + 5)*(f + 9)
Let w(k) be the second derivative of 0*k**4 + 0*k**3 + 0 + 1/28*k**7 - 6*k - 1/10*k**6 + 0*k**2 + 3/40*k**5. Find y, given that w(y) = 0.
0, 1
Let n be (1/4)/((-105)/(-168)). Let a = -318/5 + 64. Factor -a*g + n*g**2 + 0.
2*g*(g - 1)/5
Let a be (-2 - -1) + (12/3 - 1). Suppose -4*b + 6*m - 2 = m, -4 = -4*b + a*m. Factor -6/7*t + 4/7 - 10/7*t**b.
-2*(t + 1)*(5*t - 2)/7
Let k(a) = a**3 - 5*a**2 + 2. Let x = -5 - -10. Let c be k(x). Let -2*b**3 + 3*b**4 + 4 + 3*b**3 - b - c*b**4 - 2 - 3*b**2 = 0. What is b?
-2, -1, 1
Let u(k) be the first derivative of 4*k**3/3 + 42*k**2 - 184*k + 209. Factor u(d).
4*(d - 2)*(d + 23)
Let j(q) = 2*q**3 - 48*q**2 + 162*q - 112. Let w(f) = f**3 - 49*f**2 + 164*f - 113. Let k(r) = -3*j(r) + 4*w(r). Find h such that k(h) = 0.
-29, 1, 2
Let q be ((-750)/(-126))/(35/42). Factor -18/7*s**2 + q + 2/7*s**3 + 30/7*s.
2*(s - 5)**2*(s + 1)/7
What is z in -210*z - 265*z + 63 + 15*z**4 - 108*z**3 + 312*z**2 + 39 - 13*z**4 + 167*z = 0?
1, 51
Solve 0 + 14/3*o + 2/3*o**2 = 0.
-7, 0
Let x = -28 + 32. Factor -m - 30*m**x + 2 - 6*m**2 + 2*m**3 + 33*m**4 - m**5 + 1.
-(m - 3)*(m - 1)**2*(m + 1)**2
Let a(i) = -635*i**2 + 225*i + 26. Let n(u) = 632*u**2 - 226*u - 28. Let b(l) = 6*a(l) + 5*n(l). Let b(v) = 0. Calculate v.
-4/65, 2/5
Suppose 0 + 0*q**2 - 1/7*q**3 - 1/7*q**4 + 0*q = 0. Calculate q.
-1, 0
Let t(w) be the first derivative of -w**3/30 + 19*w**2/20 - 17*w/5 + 55. Determine x so that t(x) = 0.
2, 17
Suppose 8*x - 4*x = 2*w + 10, 0 = 2*w - 2*x + 4. Suppose -w = 11*r - 1. Let 1/3*d**2 - 1/3*d**4 + r + 1/3*d**5 - 1/3*d**3 + 0*d = 0. Calculate d.
-1, 0, 1
Let k(q) be the first derivative of 22 + 0*q**4 - 1/2*q**2 - 1/10*q**5 + 1/2*q**3 + 0*q. Factor k(s).
-s*(s - 1)**2*(s + 2)/2
Let j(f) = -f**3 - 31*f**2 + 66*f - 31. Let z(y) = y + 2. Let d(g) = -j(g) + z(g). Factor d(o).
(o - 1)**2*(o + 33)
Let x(s) = 10*s**4 + 15*s**3 - 45*s**2 - 45*s + 5. Let o(w) = -5*w**4 - 8*w**3 + 23*w**2 + 23*w - 3. Let a(l) = -5*o(l) - 3*x(l). Factor a(m).
-5*m*(m - 2)*(m + 1)*(m + 2)
Let f = 64 - 54. Suppose 3*g - 3*x = 0, f*g = 5*g + 3*x + 8. Factor 4*n**2 + 4/7*n**5 + 32/7*n**3 + 18/7*n**g + 2/7 + 12/7*n.
2*(n + 1)**4*(2*n + 1)/7
Let r(y) be the third derivative of -5*y**8/504 - y**7/105 + 37*y**6/180 - y**5/10 - 8*y**4/9 + 4*y**3/3 - 323*y**2. Determine x so that r(x) = 0.
-3, -1, 2/5, 1, 2
Let s(p) be the third derivative of -p**5/30 + 106*p**4/3 - 44944*p**3/3 + 50*p**2 + 1. Solve s(b) = 0.
212
Factor 88/3 - 29*h - 1/3*h**2.
-(h - 1)*(h + 88)/3
What is j in 11*j**4 - j**5 - 27*j + 77*j**2 - 37*j + 20 - 10262*j**3 + 10219*j**3 = 0?
1, 2, 5
Let j = 15 + 6. Let n be 16/6 - (-7)/j. What is v in n*v**3 + v**3 - 3*v**2 + 3*v**4 - 3*v**5 - 2*v**3 + v**3 = 0?
-1, 0, 1
Let z(v) be the second derivative of -v**5/90 - v**4/6 - 8*v**3/9 - v**2 + 4*v. Let w(o) be the first derivative of z(o). Factor w(t).
-2*(t + 2)*(t + 4)/3
Let i(r) be the second derivative of -2*r**6/15 - 54*r**5/35 + 79*r**4/21 - 12*r**3/7 + 161*r. Solve i(h) = 0.
-9, 0, 2/7, 1
Let w be ((-3)/4)/(2/(-72)). Suppose 15*r**3 - 3 + w*r**2 - 5 + 14 - r**4 + 21*r + 4*r**4 = 0. Calculate r.
-2, -1
Let l(p) = 2*p**3 - p**2 + 3. Let h be l(0). Let j = -74 + 78. Factor -24/7*i + 2/7*i**j - 12/7*i**h + 8/7 + 26/7*i**2.
2*(i - 2)**2*(i - 1)**2/7
Suppose 0 = -10*k + 4*k + 18. Factor -5*s**4 + 3*s**3 + 4*s + 6*s**4 - 6*s**k.
s*(s - 2)**2*(s + 1)
Let p = -29/12 - -8/3. Let l be (-84)/(-16) + -3 + (3 - 5). Let p*v**2 - l*v + 0 = 0. What is v?
0, 1
Let g = -24 + 30. Determine s so that -11*s**4 + 10*s**2 - 8*s**5 - 5*s**3 - 5*s**4 + g + 35*s**3 - 22*s = 0.
-3, -1, 1/2, 1
Find a, given that 9/2*a**2 + 46*a**3 + 0 - 1/2*a**4 - 5*a**5 - 9*a = 0.
-3, -1/2, 0, 2/5, 3
Let n(j) be the third derivative of j**9/4032 + 5*j**8/2016 + j**7/1008 - j**6/24 + j**5/4 + 12*j**2. Let b(x) be the third derivative of n(x). Factor b(h).
5*(h + 1)*(h + 3)*(3*h - 2)
Let i(r) = 2*r**5 - 9*r**4 + 25*r**3 + 9*r**2 - 25*r - 1. Let q(w) = w**5 + w**4 + w**3 - w**2 - 1. Let u(f) = -i(f) + q(f). Suppose u(s) = 0. What is s?
-1, 0, 1, 5
Let x(i) be the first derivative of i**8/672 - i**7/105 + i**6/48 - i**5/60 + 11*i**2/2 + 2. Let c(w) be the second derivative of x(w). Let c(j) = 0. What is j?
0, 1, 2
What is a in 21*a - 8*a + 2*a - 2 - 7*a**2 = 0?
1/7, 2
Let d(p) be the second derivative of p**6/40 - 3*p**4/8 + p**3 + 6*p**2 + 16*p - 2. Let h(x) be the first derivative of d(x). Factor h(b).
3*(b - 1)**2*(b + 2)
Let c = 429 - 427. Let g = 10 + -1. Factor 2*r**3 - 9*r**3 - g*r**3 + 27*r**2 + 3*r**4 - c*r**3.
3*r**2*(r - 3)**2
Let a be -1 - 58/203*1*-14. Let k(w) be the first derivative of 0*w - 1/8*w**4 + 0*w**2 + 1/6*w**a - 2. Determine o, given that k(o) = 0.
0, 1
Let p(a) be the second derivative of 0 + 1/18*a**4 - 4*a - 1/30*a**5 - 1/27*a**3 + 0*a**2 + 1/135*a**6. Solve p(u) = 0.
0, 1
Suppose 804 = 4*g + 796. Let s(i) be the first derivative of 0*i**g + 2*i**4 + 1 + 4/3*i**3 - 4*i**6 - 4*i**5 + 0*i. Find w, given that s(w) = 0.
-1, -1/3, 0, 1/2
Let j(o) = o**3 + 23*o**2 + 42*o + 3. Let r be j(-21). Factor r*f**2 - 56*f - f**2 - f**2 + 196 + 3*f**2.
4*(f - 7)**2
Let j(o) = -o**2 - o. Let x(w) = -w**3 - 7*w**2 - 6*w. Let l(y) = -y - 1. Let v(m) = 2*l(m) - x(m). Let r(q) = -14*j(q) - 2*v(q). Solve r(k) = 0 for k.
-1, 2
Let t(w) = 50*w + 100. Let s be t(-2). Let m(j) be the first derivative of -2 - 1/21*j**6 + 0*j**3 + 0*j**5 + 0*j**2 + s*j + 1/14*j**4. Factor m(r).
-2*r**3*(r - 1)*(r + 1)/7
Let r(t) = -t**2. Let s(w) = 9*w**2 - 4*w - 2. Let y(j) = -j + 1. Let f be y(1). Suppose -i = -f*i - 2. Let z(k) = i*s(k) + 22*r(k). Let z(q) = 0. What is q?
-1
Let w(p) be the second derivative of 0*p**2 + 35*p - 1/2*p**3 + 0 + 3/4*p**4 + 1/10*p**6 - 9/20*p**5. Suppose w(a) = 0. What is a?
0, 1
Let d(t) be the first derivative of t**3/12 + 3*t**2/2 + 9*t + 71. Find m, given that d(m) = 0.
-6
Let t(b) be the second derivative of b**4/3 + 64*b**3/3 + 512*b**2 - 14*b + 2. Factor t(g).
4*(g + 16)**2
Let o(a) be the second derivative of 1/6*a**6 + 0 + 0*a**5 + 16*a - 5/6*a**4 + 0*a**3 + 5/2*a**2. Factor o(c).
5*(c - 1)**2*(c + 1)**2
Let t(a) be the first derivative of 4*a**3/3 - 204*a**2 + 231. Factor t(d).
4*d*(d - 102)
Let h(y) be the third derivative of -y**8/2856 - y**7/595 - y**6/510 + y**5/255 + y**4/68 + y**3/51 - y**2 - 3. Factor h(n).
-2*(n - 1)*(n + 1)**4/17
Let u(j) = 36*j**2 + 35*j + 1. Let y(k) = -109*k**2 - 104*k - 2. Let f(w) = -7*u(w) - 2*y(w). Determine d so that f(d) = 0.
-1, -3/34
Let a be ((-36)/(-32))/((-4)/(-96)). Let y(v) be the first derivative of -a*v**3 + 33*v**2 - 6/5*v**5 + 4 - 12*v + 75/8*v**4. Solve y(z) = 0 for z.
1/4, 2
Solve 1/2*v**2 + 7/6*v**3 - 7/6*v - 5/6*v**4 + 1/3 = 0.
-1, 2/5, 1
Let q(w) = 5*w**2. Let p(z) = -z**2 - 663 + 663. Let v(x) = 22*p(x) + 4*q(x). Factor v(m).
-2*m**2