Solve 0*r**3 + 7*r**3 + 21*r**4 - 16*r + j - 6 + 9*r**2 - 26*r**2 + 9*r**5 = 0 for r.
-1, -2/3, 1
Let a = 8 + -12. Let x be (a - -9)/(3 - 2). Factor -20*i**3 + 9*i**4 - 1 + 6 + 13*i**2 - x - 2*i.
i*(i - 1)**2*(9*i - 2)
Let y(t) be the first derivative of -21*t**4/20 + 37*t**3/5 + 132*t**2/5 - 84*t/5 - 125. Suppose y(p) = 0. What is p?
-2, 2/7, 7
Let o(d) be the third derivative of -7*d**5/60 + d**4/2 + 2*d**3/3 + 127*d**2. Factor o(p).
-(p - 2)*(7*p + 2)
Let s(t) be the third derivative of -t**8/2688 + 11*t**7/840 - 79*t**6/480 + 13*t**5/15 - 147*t**4/64 + 27*t**3/8 - 88*t**2 + t. Let s(p) = 0. Calculate p.
1, 2, 9
Let w = -24634/5 + 4927. Factor w*q**3 + 3/5*q**2 + 1/5 + 3/5*q.
(q + 1)**3/5
Let t(r) be the first derivative of r**4 + 16*r**3 - 26*r**2 - 50. Factor t(h).
4*h*(h - 1)*(h + 13)
Let u be 1218/54*78/(-21). Let f = u - -84. Determine p so that 0*p - 2/9 + f*p**2 = 0.
-1, 1
Let o(g) be the third derivative of -g**5/330 + 67*g**4/66 - 4489*g**3/33 + 379*g**2 + 2*g. Factor o(a).
-2*(a - 67)**2/11
Let s(t) = -3*t**2 - 30*t - 46. Let x(n) = -3*n**2 - 30*n - 45. Let o(c) = -3*s(c) + 2*x(c). Let o(f) = 0. Calculate f.
-8, -2
Let a(m) be the third derivative of -9/20*m**6 - 50*m**3 + 0 - 1/70*m**7 + 45/2*m**4 + 25*m**2 - 61/20*m**5 + 0*m. Factor a(k).
-3*(k - 1)**2*(k + 10)**2
Find n, given that 4 - 1/2*n**2 + 7/2*n = 0.
-1, 8
Factor -2*a**2 + 0*a**2 + 2342*a**3 - 2341*a**3 + 0*a**2.
a**2*(a - 2)
Let h(g) = -5*g**2 - 23*g + 6. Let j(z) = 11*z**2 + 47*z - 14. Let i(k) = -14*h(k) - 6*j(k). Let i(w) = 0. What is w?
-10, 0
Let y(w) be the second derivative of -w**5/12 - 5*w**4/24 + w**2 + 9*w. Let j(u) be the first derivative of y(u). Factor j(t).
-5*t*(t + 1)
Let g(b) be the third derivative of -121*b**5/390 - 11*b**4/26 - 3*b**3/13 + 463*b**2. Factor g(i).
-2*(11*i + 3)**2/13
Let m(u) be the third derivative of 0*u**4 + 1/36*u**3 + 0*u**6 + 4/315*u**7 + 0*u - 17/360*u**5 + 6*u**2 + 0. Find n such that m(n) = 0.
-1, -1/4, 1/4, 1
Let d be 3 - (-8 + 4)/(-4). Determine m, given that 946 + 22*m - 952 + 7*m**d + m**2 = 0.
-3, 1/4
Factor 685*m - 24 + 701*m - 1476*m - 21*m**2.
-3*(m + 4)*(7*m + 2)
Let z(b) be the first derivative of -1/5*b**4 - 4/5*b**3 + 4/25*b**5 + 8/5*b + 2/5*b**2 - 7. Factor z(p).
4*(p - 2)*(p - 1)*(p + 1)**2/5
Let x(l) be the first derivative of 3*l**5/5 - 39*l**4/4 + 274. Suppose x(m) = 0. What is m?
0, 13
Let k(f) be the first derivative of -9*f**4/16 + 65*f**3/4 - 1023*f**2/8 - 363*f/4 + 152. Factor k(i).
-3*(i - 11)**2*(3*i + 1)/4
Let q(s) = s**3 + 7*s**2 + 10*s + 25. Let x be q(-6). Let z be (17/(-7))/x + 3. Determine t, given that -2/7*t + z - 2/7*t**2 = 0.
-2, 1
Let y(h) be the first derivative of h**3 + 186*h**2 + 11532*h + 256. Factor y(k).
3*(k + 62)**2
Let a(v) be the first derivative of 4*v**3/3 + 52*v**2 - 281. Let a(m) = 0. Calculate m.
-26, 0
Let b(p) = 2*p**3 + 2*p**2 - 5. Let f(h) = -3*h**3 - 5*h**2 + h + 9. Let q(i) = -5*b(i) - 3*f(i). Let o be q(4). Factor 0 + 7/3*m**o - 2/3*m.
m*(7*m - 2)/3
Suppose 5*g + 6 = -3*f - 9, 5*g + 15 = 0. Let -1/5*z**3 - 1/5*z**4 + 0 + 0*z + f*z**2 = 0. What is z?
-1, 0
Let p(f) be the third derivative of f**6/480 + 13*f**5/240 + 35*f**4/96 - 49*f**3/24 + 2*f**2 + 7. Let p(i) = 0. Calculate i.
-7, 1
Let g(z) = z**3 + 20*z**2 + 102*z + 31. Let x be g(-9). Factor 1/3*o**3 - 1/3*o**5 + 0*o**2 + 0*o**x + 0 + 0*o.
-o**3*(o - 1)*(o + 1)/3
Suppose -52*x + 51 + 121 = -9*x. Factor -13/2*y**x - 15/2*y**3 + 0 - 2*y**5 - 1/2*y - 7/2*y**2.
-y*(y + 1)**3*(4*y + 1)/2
Let n(r) = r**3 - 5*r**2 + 6*r - 6. Let m(j) = -j + 7. Let q be m(3). Let s be n(q). Let -6*k + k - 2 + 3*k**s + 4*k - 2*k**2 = 0. What is k?
-1, 2
Let r(q) = -q**2 - 9*q + 8. Let s(c) = -3*c**2 - 18*c + 13. Let d(t) = 10*r(t) - 4*s(t). Factor d(l).
2*(l - 7)*(l - 2)
Let l(s) be the second derivative of s**6/45 + s**5/30 - s**4/6 - 3*s**3/2 - 11*s. Let m(w) be the second derivative of l(w). Find a, given that m(a) = 0.
-1, 1/2
Factor -486/17 + 270/17*w - 42/17*w**2 + 2/17*w**3.
2*(w - 9)**2*(w - 3)/17
Let q(i) = -i**3 - i**2 - i - 1. Let z(a) = -a**3 - 15*a**2 - 7 - 7*a - 3*a + 2*a**3 - 13*a. Suppose 4 = 8*y - 4. Let h(x) = y*z(x) + 5*q(x). Solve h(p) = 0.
-3, -1
Suppose 5*b - 72 = 4*t - 26, -5*t = -4*b + 44. Let i(s) be the first derivative of b - 2/15*s**2 - 2/15*s**3 + 0*s. Factor i(x).
-2*x*(3*x + 2)/15
Suppose -2*h + 14 = 2*j, 2*j = -3*h + 4*h + 2. Suppose 0*k = k - 3. Factor 6*c - c**2 + 4*c**2 + k*c**2 - 3*c**2 + j.
3*(c + 1)**2
Determine g so that -127*g**3 - 458*g**2 - 27 - 32*g - 94*g**2 - 195*g - 4*g - 113*g**3 = 0.
-9/5, -1/4
Suppose 0 = -5*x - 5*d - 25, -x + 5*d = -0*d + 5. Let b be (x - 16/(-5)) + 5. Factor 2*w**2 + 8/5 - b*w - 2/5*w**3.
-2*(w - 2)**2*(w - 1)/5
Let w(t) be the third derivative of t**5/60 + 13*t**4/60 + 4*t**3/5 + 49*t**2 + 6*t. Factor w(f).
(f + 4)*(5*f + 6)/5
Suppose f - 26 = -2*h, 0*h = 5*h - f - 58. Factor h + 11 - 12*a**2 + 8*a**3 + 48*a**2 - 7 + 48*a.
4*(a + 2)**2*(2*a + 1)
Let f(q) = 155*q**2 + 4270*q. Let s(k) = -7*k**2 - 194*k. Let p(v) = -2*f(v) - 45*s(v). Factor p(m).
5*m*(m + 38)
Let c(m) be the second derivative of -m**5/10 + 13*m**3/3 - 12*m**2 - 37*m. Factor c(i).
-2*(i - 3)*(i - 1)*(i + 4)
Let h(s) be the second derivative of s**4/12 + s**3/6 + s**2 + 35*s. Let d be h(0). Let b**3 + 0 - 1/2*b**4 - 4*b + d*b**2 = 0. What is b?
-2, 0, 2
Let l be 5/(980/(-144))*168/(-9). Factor 18/7*m**3 - 12/7 - l*m**2 - 10*m.
2*(m - 6)*(3*m + 1)**2/7
Let o(h) be the second derivative of -25*h + 11/8*h**2 - 1/48*h**4 + 0 + 5/12*h**3. Let o(j) = 0. What is j?
-1, 11
Factor 84 + 84 - 42 - 3*z**2 + 57*z.
-3*(z - 21)*(z + 2)
Let t(b) be the third derivative of b**7/1680 + 7*b**6/960 - 17*b**5/480 + 3*b**4/64 + 59*b**2. What is g in t(g) = 0?
-9, 0, 1
Let m(o) be the second derivative of -o**7/840 + o**6/360 + o**5/30 - o**4/6 + 4*o**3 - o. Let b(r) be the second derivative of m(r). Factor b(g).
-(g - 2)*(g - 1)*(g + 2)
Suppose 5*a + 3*w = 8*w + 20, w - 16 = -4*a. Let s be 30/7 + 0 - a. Factor -2/7*g**5 + 4/7*g**3 - 4/7*g**2 - s*g + 2/7 + 2/7*g**4.
-2*(g - 1)**3*(g + 1)**2/7
Let m(i) = i**3 + 6*i**2 - i - 1. Let f be m(-6). Let a be (2 + 64/(-28))*7*-1. Find p, given that p**4 - 41*p - 7 - f*p**4 + 24*p**a + 19 + 9*p = 0.
-3, 1
Suppose 0*o - 8 = -2*o. Suppose -31 - 37 = -o*y. Factor -3*w**3 + 9*w - 9 + y - 2.
-3*(w - 2)*(w + 1)**2
Factor 256/5 + 1/5*q**3 + 24/5*q**2 + 144/5*q.
(q + 4)**2*(q + 16)/5
Let q be (-54)/15 + 3 + (-681)/15. Let z = q + 140/3. Factor -2/3*l**2 - z*l + 2/3*l**3 + 2/3*l**4 + 0.
2*l*(l - 1)*(l + 1)**2/3
Let i(a) be the first derivative of 4*a**5/25 + 3*a**4/5 - 4*a**3/15 - 6*a**2/5 + 18. Factor i(y).
4*y*(y - 1)*(y + 1)*(y + 3)/5
Let y(p) = 456*p - 3190. Let n be y(7). Solve -8/9*k**n + 1/9*k**4 - 1/9*k**3 + 0 + 4/3*k = 0 for k.
-3, 0, 2
Let m = 30115 + -30112. Solve 0 - 10/9*l**4 - 2/9*l**5 - 2*l**m - 14/9*l**2 - 4/9*l = 0 for l.
-2, -1, 0
Let s(v) be the first derivative of v**6/6 + 6*v**5/5 - 4*v**4 + 2*v**3/3 + 15*v**2/2 - 8*v + 44. What is n in s(n) = 0?
-8, -1, 1
Let g(k) be the first derivative of 5*k**4/4 - 5*k**3 - 10*k**2 + 338. Find v such that g(v) = 0.
-1, 0, 4
Let o(h) = 12*h**3 + 18*h**2 - 57*h. Let m(c) = -5*c**3 - 10*c**2 + 28*c. Let p(b) = -9*m(b) - 4*o(b). Suppose p(w) = 0. Calculate w.
0, 2, 4
Let f(n) be the third derivative of -n**8/151200 - n**7/37800 + n**5/6 - 17*n**2. Let j(m) be the third derivative of f(m). Factor j(r).
-2*r*(r + 1)/15
Let x = 78 - 76. What is n in n**2 + 3*n**x - 14*n + 4*n**3 - 1 + 10*n - 3 = 0?
-1, 1
Let g be 112 + ((0 + 4)/4 - 2). Suppose -116*d**2 + g*d**2 + 5*d**4 + 2*d**4 - 10*d**3 - 2*d**4 + 10*d = 0. What is d?
-1, 0, 1, 2
Let c = 6078 - 6076. Let 2*k**c + 8/5 - 16/5*k - 2/5*k**3 = 0. Calculate k.
1, 2
Let r be 8 + (-5 - 34/12). Let k(t) be the second derivative of -3/40*t**5 - 3*t + 0*t**2 + r*t**3 + 0 - 1/24*t**4. Factor k(o).
-o*(o + 1)*(3*o - 2)/2
Let d(m) be the third derivative of -m**6/1020 - m**5/85 + 5*m**4/68 - 8*m**3/51 - 107*m**2. Determine l, given that d(l) = 0.
-8, 1
Let c(l) be the third derivative of -l**5/20 - l**4 - 8*l**3 - 431*l**2. Solve c(d) = 0 for d.
-4
Let x(z) = z**2 - 15*z + 26. Suppose y - 43 = -3*y + 3*h, 12 = 4*h. Let f be x(y). Find j such that 4/5*j + 4/5*j**2 + 1/5*j**3 + f = 0.
-2, 0
Let a(d) be the 