- 1/16*t**4 - 1/20*t**5 + 1/40*t**6 - 1/224*t**8 + 12*t**2 + 0 + 1/140*t**7. Find p, given that h(p) = 0.
-1, 1
Let d = -199/6 + 731/22. Let a = d + 3/11. Let 1/3 - a*o**2 + 0*o = 0. What is o?
-1, 1
Let q(p) be the first derivative of 2*p**3/3 + 19*p**2 + 87. What is b in q(b) = 0?
-19, 0
Let k(c) be the second derivative of c**7/840 + c**6/60 + 3*c**5/40 - 5*c**4/6 + 25*c. Let m(d) be the third derivative of k(d). Factor m(q).
3*(q + 1)*(q + 3)
Factor 4/3*h**3 + 320/3*h - 76/3*h**2 + 400/3.
4*(h - 10)**2*(h + 1)/3
Let f(i) be the second derivative of i**7/189 - 2*i**6/135 - i**5/90 + i**4/27 + 28*i. Determine y so that f(y) = 0.
-1, 0, 1, 2
Let x = 22607 - 113032/5. Factor 1/5*c**2 + x*c + 0.
c*(c + 3)/5
Let q(z) = z**3 - 46*z**2 + 171*z - 123. Let f be q(42). Let o = 883/5 - 176. Find p such that -o*p**f + 0*p**2 + 0 + 0*p = 0.
0
Let 1/2*d**3 + 75/2*d**2 + 1944 + 756*d = 0. Calculate d.
-36, -3
Suppose -b + 3*p = 3*b + 36, 27 = -3*b - 3*p. Let r be 3/6 - b/6. Suppose -r*u**2 + u + 19 + u**3 - 19 = 0. Calculate u.
0, 1
Let t(l) be the second derivative of l**6/135 + l**5/15 - 11*l**4/54 - 20*l**3/9 + 100*l**2/9 + 23*l + 2. Factor t(r).
2*(r - 2)**2*(r + 5)**2/9
Let u = -160 - -156. Let r be (-6)/((-264)/74) + u/22. Factor 0*g**2 + 3/4*g**4 - 3/2*g - 3/4 + r*g**3.
3*(g - 1)*(g + 1)**3/4
Let q(d) be the second derivative of d**5/140 - 3*d**4/28 + 5*d**3/14 + 25*d**2/14 - 7*d - 2. Factor q(h).
(h - 5)**2*(h + 1)/7
Let k(z) be the first derivative of 2*z**3 - 4*z**2 - 1/3*z**4 + 8*z - 5. Let m(a) be the first derivative of k(a). Let m(i) = 0. What is i?
1, 2
Let y(p) be the third derivative of p**7/350 - p**6/60 + 3*p**5/100 - p**4/60 - 8*p**2. Let y(s) = 0. Calculate s.
0, 1/3, 1, 2
Suppose 2*w - 88 = -3*z - 0*w, 4*w - 8 = 0. Let i be 12/42*7 + z/(-15). Factor -i*k**2 - 2/15 + 4/15*k.
-2*(k - 1)**2/15
Let d = 116 + -3826/33. Let k = 37/66 - d. Find a, given that -k*a - 1/3 + 1/3*a**2 + 1/2*a**3 = 0.
-1, -2/3, 1
Suppose 4/5*g**2 - 18/5*g**4 + 14/5 - 6*g + 2/5*g**5 + 28/5*g**3 = 0. Calculate g.
-1, 1, 7
Solve -2*k - 8*k - 3541*k**2 + 5*k**3 + 3546*k**2 = 0 for k.
-2, 0, 1
Let w be ((-2508)/8)/((-3 + 2)*18). Let j = w - 43/4. Find t such that j*t + 10*t**3 + 3*t**4 + 4/3 + 37/3*t**2 = 0.
-1, -2/3
Let v be ((-7)/(-2) + -2)/(117/(-156)). Let l be (-15)/v*(-96)/(-108). Determine d so that -8/3*d + 0 - l*d**2 + 4*d**3 = 0.
-1/3, 0, 2
Let s(r) be the third derivative of -1/42*r**5 + 0*r + 4/21*r**3 - 2/21*r**4 + 26*r**2 + 0. Factor s(p).
-2*(p + 2)*(5*p - 2)/7
Let k be 3/(-2) + 15/10 - (-96)/18. Factor -4/3*i**3 + 0*i - 4*i**2 + k.
-4*(i - 1)*(i + 2)**2/3
Let d = 834/1045 - -2/1045. Solve 0 + 6/5*b**3 + 0*b - d*b**4 + 0*b**2 - 2/5*b**5 = 0.
-3, 0, 1
Let f(t) be the third derivative of t**6/280 - 81*t**5/70 + 1599*t**4/14 + 6724*t**3/7 + 339*t**2 - 2. Let f(k) = 0. What is k?
-2, 82
Let t(u) = 14*u**3 - u**2 - 12*u + 1. Let v(o) = -1 - 2*o**2 - o**3 + o**2 + 2. Let r be 3/5 + 14/10. Let d(b) = r*v(b) + t(b). Determine z so that d(z) = 0.
-1, 1/4, 1
Let r(l) be the first derivative of 2*l**2 + 2*l + 2/3*l**3 + 29. Solve r(y) = 0.
-1
Let w(s) = 4*s**3 - 3*s**2 - 50*s + 27. Let p(c) = 27*c**3 - 21*c**2 - 348*c + 189. Let z(l) = -2*p(l) + 15*w(l). Find t such that z(t) = 0.
-3, 1/2, 3
Let r be 44/330*-3*(-1)/4. Let x(g) be the second derivative of -6*g + 0*g**2 + 0*g**3 + 0 - r*g**5 - 1/6*g**4 + 1/21*g**7 + 1/15*g**6. Factor x(b).
2*b**2*(b - 1)*(b + 1)**2
Let n = 240/791 - 2/113. Factor -4/7*c + 0 - n*c**3 + 6/7*c**2.
-2*c*(c - 2)*(c - 1)/7
Suppose 52*g = -g + 4*g. Let z(q) be the third derivative of -1/135*q**5 + 1/540*q**6 + 0*q**3 - 7*q**2 + g*q + 0*q**4 + 0. Suppose z(t) = 0. What is t?
0, 2
Let v(r) be the second derivative of 3*r**5/80 + 7*r**4/16 - r**3 - 46*r. Suppose v(t) = 0. What is t?
-8, 0, 1
Let c = -1/32 + 23/96. Let b(d) be the third derivative of 1/3*d**3 + 0 + 1/15*d**5 + c*d**4 + 1/120*d**6 + 0*d + d**2. Factor b(s).
(s + 1)**2*(s + 2)
Let z = 18689/134 + -279/2. Let i = 63/134 - z. Find l, given that i + 1/2*l**3 - 1/4*l + 1/2*l**4 - l**2 - 1/4*l**5 = 0.
-1, 1, 2
Let a(m) be the first derivative of 2*m**5/25 + 2*m**4/5 + 2*m**3/5 + 432. Factor a(j).
2*j**2*(j + 1)*(j + 3)/5
Let m(n) = -n**3 - 4*n**2 - n - 2. Let r be m(-4). Suppose -5 + 1 = -r*a. Factor 1/6*u**a + 1/3 + 1/2*u.
(u + 1)*(u + 2)/6
Let m be -1 + -2 - 20/((-8)/2). Factor -p**2 - 16*p + 32 - 7*p**m + 10*p**2.
2*(p - 4)**2
Let z(f) = -f. Let d(p) = 5*p + 3 - p**2 - 15*p + 5 - 2*p. Let v(k) = -d(k) + 5*z(k). Factor v(l).
(l - 1)*(l + 8)
Let o be (-38)/247 + (-80)/(-182). Find q, given that o*q**2 - 4/7*q - 6/7 = 0.
-1, 3
Let r(i) be the first derivative of 4*i**3/3 + 26*i**2 - 192*i - 145. What is x in r(x) = 0?
-16, 3
Let p = 12925 + -12923. Suppose -32/5*n**3 + 26/5*n**p + 8/5*n**4 + 0 - 6/5*n = 0. Calculate n.
0, 1/2, 3
Let g = 3/14 - 1/6. Let y(k) be the first derivative of -3 - 4/7*k - 9/7*k**2 - k**4 - g*k**6 - 32/21*k**3 - 12/35*k**5. Find n, given that y(n) = 0.
-2, -1
Suppose 40 = 209*j - 204*j. Let m be 3/(-12)*j/(-6). Factor 0 - 2/3*u - m*u**2.
-u*(u + 2)/3
Let 2*z + 8*z**3 + 20/3*z**2 + 0 + 2/3*z**5 + 4*z**4 = 0. Calculate z.
-3, -1, 0
Let n be ((-27)/72)/((-2)/16). Factor 14/3*l**n + 0 + 46/3*l**2 + 4*l.
2*l*(l + 3)*(7*l + 2)/3
What is z in -32/3 + 2/3*z**2 - 10*z = 0?
-1, 16
Let i(g) be the second derivative of -g**5/30 + 20*g**4/9 - 77*g**3/9 + 38*g**2/3 + 242*g. Factor i(y).
-2*(y - 38)*(y - 1)**2/3
Suppose 0*c = -22*c + 110. Let i(g) be the first derivative of -1/10*g**4 + 0*g + 1/15*g**3 + c - 1/25*g**5 + 1/5*g**2. Factor i(y).
-y*(y - 1)*(y + 1)*(y + 2)/5
Let b(w) be the second derivative of -1/210*w**7 + 0*w**3 + 1/100*w**5 + 0 + 0*w**4 + 9*w + 0*w**2 + 0*w**6. Factor b(l).
-l**3*(l - 1)*(l + 1)/5
Let f(b) = -56*b**4 + 39*b**3 + 26*b**2 - 9*b + 6. Let n(j) = j**4 + j**3 - j**2 - j - 1. Let i(u) = f(u) + 6*n(u). Determine s, given that i(s) = 0.
-3/5, 0, 1/2, 1
Let l be ((-48)/(-35) + 3/(-21))*-23. Let x = l + 152/5. Find i, given that -3/7 - 9/7*i**2 + x*i - 15/7*i**3 + 12/7*i**4 = 0.
-1, 1/4, 1
Suppose 116 - 6*n**3 - 116 - 3*n + 9*n**2 = 0. Calculate n.
0, 1/2, 1
Let l(b) be the third derivative of -b**7/5880 + b**6/560 - b**5/140 + 7*b**4/8 - b**2. Let n(h) be the second derivative of l(h). Factor n(c).
-3*(c - 2)*(c - 1)/7
Suppose -11*l + 192 = 159. Factor -4/7*u - 1/7*u**2 + 4/7*u**l + 1/7.
(u - 1)*(u + 1)*(4*u - 1)/7
Let n(w) = -w**3 + 6*w**2 - 5*w - 9. Let u be n(4). Suppose -u*g = 4*j - 2*j + 15, -3*j - 20 = 4*g. Factor -1/4*l**3 - 1/2*l**2 - 1/4*l + j.
-l*(l + 1)**2/4
Factor -3*p**3 + 6/7*p**4 + 9/7*p**2 + 0 + 0*p.
3*p**2*(p - 3)*(2*p - 1)/7
Let l = -227/140 - -51/28. Suppose 1/5*g - 1/5*g**3 - l + 1/5*g**2 = 0. What is g?
-1, 1
Suppose -172 = -2*b - 4*k, -2*b + 85 = -b + k. Let g be -30*16/b - -6. Determine u so that 0*u - g*u**2 + 0 = 0.
0
Let -28*i**3 - 27*i + 54*i**3 - 20*i**3 + 51*i**2 = 0. Calculate i.
-9, 0, 1/2
Suppose 0 = -2*s - 5*s + 35. Suppose 12*o**4 - 2*o**5 - 10*o**s + 4*o**3 - 7*o**3 = 0. Calculate o.
0, 1/2
Let d(x) be the first derivative of -1/8*x**3 - 5 + 3/2*x**2 - 21/8*x. Determine q so that d(q) = 0.
1, 7
Factor 3*d - 1/4*d**2 - 5.
-(d - 10)*(d - 2)/4
Let z(u) be the third derivative of 0*u - 1/10*u**4 + 2/75*u**5 + 1/150*u**6 + 0*u**3 + 0 + 12*u**2. Factor z(v).
4*v*(v - 1)*(v + 3)/5
Let w be 9/6*60/225. Let b(q) be the second derivative of -1/10*q**5 - w*q**4 - 2/5*q**2 - 7*q + 0 - 3/5*q**3. Factor b(p).
-2*(p + 1)**2*(5*p + 2)/5
Let c be (-1*(-3)/12)/((-125)/(-200)). Let g(z) be the first derivative of 2/15*z**3 + 2/5*z - c*z**2 - 3. Factor g(m).
2*(m - 1)**2/5
Let t(i) be the second derivative of i**5/10 + 13*i**4/3 + 169*i**3/3 + 89*i. Factor t(g).
2*g*(g + 13)**2
Suppose -6 = -3*q + 2*q + t, 0 = q + 2*t - 3. Determine z, given that 26*z**2 + q + 9*z + 15*z + 12*z**3 + 2*z**4 - 4 + 7 = 0.
-2, -1
Let d be (-86)/(-3) - (-18)/(-27). Factor d*y - 11*y**2 + 46 - 46 - 5*y**2.
-4*y*(4*y - 7)
Suppose 2*p - p = 5. Let d(q) = 2*q**2 + 3*q - 10. Let z be d(2). Factor -r**p - z*r**2 + 7*r**4 - 13*r**4 - r**3 + 2*r**4 - r - 5*r**3.
-r*(r + 1)**4
Let g be (8 - 5 - (-13)/(-4))/(84/(-576)). Factor -g - 2/7*k + 2/7*k**2.
2*(k - 3)*(k + 2)/7
Find f such that -4/9*f + 2/3*f**2 - 2/9*f**3 + 0 = 0.
0, 1, 2
Let u(r) be the first derivative