, 1
Let l(i) be the second derivative of -34*i - 1/28*i**4 - i**3 + 0 + 45/14*i**2. Find m such that l(m) = 0.
-15, 1
Suppose -3*y = -11*y - 48. Let n be (-9)/3*((-1180)/195 - y). What is o in n*o**3 + 0*o**2 + 0 - 2/13*o = 0?
-1, 0, 1
Let h(l) be the first derivative of -2*l**3/3 - 44*l**2 - 246*l + 1556. Factor h(u).
-2*(u + 3)*(u + 41)
Find p, given that -4/5*p**3 + 0*p**2 + 12/5*p**4 + 0*p - p**5 + 0 = 0.
0, 2/5, 2
Suppose 0 = -5*u + 124 - 24. Suppose -15 = -25*i + u*i. Determine d, given that -9*d**3 + 2*d**4 + d**i + 4*d**3 = 0.
0, 2
Let f(k) be the first derivative of -2*k**3/3 + 382*k**2 - 72962*k - 1198. Factor f(u).
-2*(u - 191)**2
Let p = -1841 - -1837. Let t be -10 - ((-612)/99 + p). Factor t*s**2 + 6/11*s + 4/11.
2*(s + 1)*(s + 2)/11
Let j(c) be the third derivative of -c**6/30 - 28*c**5/15 - 6*c**4 + 1728*c**3 + 16*c**2 - 4*c. Find r such that j(r) = 0.
-18, 8
Let p(c) be the second derivative of -c**6/225 + c**5/10 - 13*c**4/18 + 7*c**3/3 - 18*c**2/5 + 8*c + 74. Solve p(k) = 0.
1, 2, 3, 9
Let w(k) be the third derivative of -k**7/105 - k**6/3 + 23*k**5/30 + 7*k**4/2 + 1654*k**2. Suppose w(t) = 0. What is t?
-21, -1, 0, 2
Let p(d) be the first derivative of 2*d**5/25 - 21*d**4/2 + 2546*d**3/5 - 58843*d**2/5 + 658464*d/5 - 8475. Solve p(k) = 0.
19, 48
Suppose 0 = -9*a + 22 - 4. Let j be a - (2 + 8 - 11). Determine f, given that 0*f**2 - 4/3*f**j - 2/3*f**5 + 0*f + 0 - 2*f**4 = 0.
-2, -1, 0
Let k(r) = -2*r**2 - 2*r + 2. Let p(t) = 12. Let i(j) = -1. Let g(f) = 22*i(f) + 2*p(f). Let s = 64 - 62. Let o(v) = s*k(v) - 2*g(v). Factor o(w).
-4*w*(w + 1)
Let p(q) be the third derivative of -1/4*q**4 + 141*q**2 + 7/150*q**5 + 0*q - 1/300*q**6 + 0 + 3/5*q**3. Factor p(n).
-2*(n - 3)**2*(n - 1)/5
Let d(u) = 35*u + 166. Let t be d(-4). Determine y so that 26*y**2 - y**4 - t*y**2 = 0.
0
Factor 65 + 1839*z**2 - 1844*z**2 + 555 + 1000 + 566*z + 234*z.
-5*(z - 162)*(z + 2)
Let f = -27757 + 27764. Let v(g) be the third derivative of 0*g - 1/60*g**6 + 22*g**2 + 1/210*g**f + 0*g**3 + 1/12*g**4 - 1/60*g**5 + 0. Solve v(b) = 0.
-1, 0, 1, 2
Let w be (-4*(-4)/(-24))/(2/(-6)). Factor -32*a**w + 10*a**2 + a**4 + 18*a**2.
a**2*(a - 2)*(a + 2)
Factor 218/5*a + 4/5*a**2 - 2/5*a**3 - 44.
-2*(a - 11)*(a - 1)*(a + 10)/5
Let d(p) = -p**3 + 23*p**2 - 61*p + 11. Let x be d(20). Let j be x*(-3)/18*40/30. Find q, given that -3/2*q**3 + 3/2*q**j + 0*q + 0 = 0.
0, 1
Let y be (11 - 4 - (-2 + 10))*16/256*-4. Factor -5/4 + c + y*c**2.
(c - 1)*(c + 5)/4
Suppose 259 = 4*v + 243. Factor -72*s**2 - 16*s**3 - 33*s + 6 + 110*s**2 + v + s**5.
(s - 2)*(s - 1)**3*(s + 5)
Let p(x) be the second derivative of x**5/100 - 67*x**4/30 + 1659*x**3/10 - 15876*x**2/5 + x - 12. Suppose p(l) = 0. What is l?
8, 63
Let b(g) = 7*g**2 - 12*g. Suppose -2*c + 14 = 5*c. Let y(f) = -20*f**2 + 18*f + 2*f**2 + 8*f**c. Let d(w) = 7*b(w) + 5*y(w). Factor d(r).
-r*(r - 6)
Suppose -2/5*k**4 - 32/5*k**3 - 48/5*k**2 + 224/5 + 128/5*k = 0. Calculate k.
-14, -2, 2
Let o be (2/(-105) - (3180/140 - 23))*5. Determine c, given that -8/3*c + 0 - 4/3*c**2 + o*c**4 + 8/3*c**3 = 0.
-2, -1, 0, 1
Let i(d) be the third derivative of -d**7/70 + 81*d**6/40 + 179*d**5/20 - 1089*d**4/8 + 415*d**3 - 468*d**2 + 2. Suppose i(m) = 0. What is m?
-5, 1, 2, 83
Let s(m) = -17*m**3 - m - m**4 - 13*m**3 + 31*m**3 - m**2. Let j(x) = 2*x**5 - 19*x**4 + 35*x**3 - 23*x**2 - 5*x. Let o(t) = j(t) - 5*s(t). Factor o(r).
2*r**2*(r - 3)**2*(r - 1)
Let a(g) = -g**2 - g - 1. Let z be 21/6*-2*4. Let f(k) = -18*k**2 + 27*k + 3. Let v(n) = z*a(n) - 4*f(n). Suppose v(q) = 0. What is q?
2/5
Suppose 38 = 83*a - 76 - 218. Factor -2*z**3 + 8/3*z**2 - 2/3*z**a + 0*z + 0.
-2*z**2*(z - 1)*(z + 4)/3
Let g(d) be the third derivative of 0*d + 3/20*d**6 + 1/336*d**8 + 0*d**3 - 97*d**2 + 0 - 1/30*d**7 - 1/3*d**5 + 1/3*d**4. Factor g(u).
u*(u - 2)**3*(u - 1)
Let b(c) be the first derivative of -2*c**5/5 + 2*c**3 + 2*c**2 + 1061. Factor b(r).
-2*r*(r - 2)*(r + 1)**2
Let t(a) be the first derivative of 260*a + 140*a**2 + 10136*a**5 - 7195/3*a**3 - 4195/4*a**4 + 1960/3*a**6 + 140. Find j such that t(j) = 0.
-13, -1/4, 2/7
Suppose 4*y = -4, -4*y + 16 + 30 = 5*n. Suppose 10 + 32*b**3 + 0*b**5 - 52*b**3 - n*b**2 + 5*b**5 + 11*b + 4*b = 0. Calculate b.
-1, 1, 2
Let p(u) be the third derivative of 1/10*u**6 + 0*u + u**2 + 3/2*u**4 + 17/15*u**5 - 8 - 10/3*u**3. Factor p(r).
4*(r + 1)*(r + 5)*(3*r - 1)
Let b(y) be the first derivative of -y**6/12 + 7*y**5/10 + 35*y**4/8 - 47*y**3/6 - 17*y**2/2 + 20*y + 4600. Let b(h) = 0. What is h?
-4, -1, 1, 10
Let f be (4/26)/((162498/(-3445))/(-146)). Factor -2/21*i**3 + 0 - f*i + 4/7*i**2.
-2*i*(i - 5)*(i - 1)/21
Determine n so that -105*n - 33075/2 - 1/6*n**2 = 0.
-315
Let d be (-83)/(-14) + 3150/(-700). Solve d*j**3 + 0 + 2/7*j**4 - 18/7*j + 6/7*j**2 = 0.
-3, 0, 1
Suppose 11*f = 8*f + 75. Suppose 3 + f = 4*w. Let w - 7 - 8 + 6*c + 2*c**2 = 0. Calculate c.
-4, 1
Suppose -13*m - 8*m**3 + 40*m + 28 - 66*m**2 + 55*m - 40*m**2 + 4*m = 0. What is m?
-14, -1/4, 1
Suppose 4*q - t = 8, -2*t + 1 = 5*q - 22. Suppose -2*m = -q*m + 16. Solve 13*a**4 - 12*a - 6*a**4 + 8*a**3 - m*a**2 + 4*a**5 + 9*a**4 = 0 for a.
-3, -1, 0, 1
Factor -1/4*d**3 + 0*d - 89/2*d**2 + 0.
-d**2*(d + 178)/4
Let z be (-25)/195 + (-868)/91 + 10. Factor 1/6*r**3 + z*r + 0 - 1/2*r**2.
r*(r - 2)*(r - 1)/6
Let y be (-35)/(-7) - (-60)/28. Let x(o) be the second derivative of -14*o + 0 - 12/7*o**4 - y*o**2 + 40/7*o**3. Factor x(l).
-4*(6*l - 5)**2/7
Suppose -10*y + 34 + 46 = 0. Suppose 4 = -7*m + y*m. Factor 0*w**m + 0*w**4 - 8*w - 4*w**4 + 17*w**2 - 5*w**2.
-4*w*(w - 1)**2*(w + 2)
Solve 265/2*t + 33 + 2*t**2 = 0 for t.
-66, -1/4
Let j = -1764 - -1111. Let u = 4577/7 + j. Let 2/7 - 8/7*f + u*f**2 = 0. Calculate f.
1/3, 1
Let i(z) = 244*z**2 - 876*z + 4424. Let n(o) = -46*o**2 + 175*o - 885. Let f(b) = 3*i(b) + 16*n(b). Determine v, given that f(v) = 0.
6, 37
Let c(h) be the third derivative of -2/3*h**4 + 0*h - 3/5*h**5 + 23/168*h**7 + 2/3*h**3 - 2 + 11/448*h**8 + 11/120*h**6 - 98*h**2. Let c(l) = 0. What is l?
-2, -2/3, 2/11, 1
Let v(c) = 5*c - 25. Let x be v(7). Suppose -x*w = -17*w + 49. Factor 26*i**2 - w*i**2 - 30 + 0*i**3 - 5*i + i**2 - 5*i**3.
-5*(i - 3)*(i - 2)*(i + 1)
Let h = 836 - 198. Let t = h - 1273/2. Find v such that -1/6*v**2 - t - v = 0.
-3
Let m be (-3 - -18)/(48/128). Let s be ((-400)/m)/(20/(-6)). Factor -21/4*l - 21/8*l**2 - 3/8*l**s - 3.
-3*(l + 1)*(l + 2)*(l + 4)/8
Let t(u) be the third derivative of 0 + 0*u**3 + 2/15*u**5 + 0*u + 0*u**4 - 1/30*u**6 + 11*u**2. Factor t(n).
-4*n**2*(n - 2)
Factor 0 + 8/5*i + 208/15*i**2 + 34/15*i**3.
2*i*(i + 6)*(17*i + 2)/15
Let k(s) be the second derivative of s**4/6 + 28*s**3/3 + 192*s**2 - 2*s + 593. Suppose k(u) = 0. Calculate u.
-16, -12
Let x(p) be the first derivative of -3*p**4/4 - 138*p**3 - 819*p**2/2 - 408*p - 523. Suppose x(y) = 0. What is y?
-136, -1
Suppose 5*f + 22 = y + 42, -y = 5. Let n(p) be the second derivative of 0 + 11/78*p**4 - 3/13*p**f - 9*p - 2/13*p**2. Factor n(v).
2*(v - 1)*(11*v + 2)/13
Let x(w) be the third derivative of -3*w**8/952 - 2*w**7/21 - 218*w**6/255 - 21*w**5/17 + 27*w**4/68 - 254*w**2. What is k in x(k) = 0?
-9, -1, 0, 1/9
Suppose -5*p - 2*q + 11 = 0, -2*p = -0*p + 4*q + 2. Let z = 55 + p. Determine h, given that 30*h**4 + 25*h**4 - z*h**4 - 15*h**3 - 24*h**2 - 12*h = 0.
-2, -1, 0
Let t(k) be the third derivative of k**8/168 + 3*k**7/28 - k**6/60 - 3*k**5/8 - 160*k**2 - 2. Let t(x) = 0. Calculate x.
-45/4, -1, 0, 1
Let g(v) be the third derivative of -1/42*v**7 + 0*v + 100/3*v**4 - 96*v**2 - 13/24*v**6 - 2 - 3/2*v**5 - 320/3*v**3. Factor g(z).
-5*(z - 2)*(z - 1)*(z + 8)**2
Let n be ((-4 - -13)/(-396))/((-3)/6). Let p(j) be the second derivative of -9/11*j**2 + 2*j + 0 + n*j**4 - 2/11*j**3. Suppose p(a) = 0. What is a?
-1, 3
Let p(a) be the third derivative of a**8/336 + a**7/21 - 83*a**6/120 + 49*a**5/15 - 47*a**4/6 + 32*a**3/3 + 421*a**2 - a. Factor p(t).
(t - 2)**2*(t - 1)**2*(t + 16)
Let d be -13 + (-679)/49*(-2)/2. Let j be 2/56 + (-2)/(-8). Solve j*y**2 - d + 4/7*y = 0 for y.
-3, 1
Let n be (-1)/24*(4197 - 4229). Factor -36 - 28*s + n*s**3 + 28/3*s**2.
4*(s - 3)*(s + 1)*(s + 9)/3
Let z(g) = 24*g**4 + 4752*g**3 - 7610*g**2 + 4198*g - 772. Let j(b) = 26*b**3 + b**2 - 1. Le