2, -1, 1, 559
Let r(i) be the first derivative of 2*i**7/105 + i**6/5 + i**5/3 + 37*i**2 + 98. Let o(v) be the second derivative of r(v). Solve o(t) = 0.
-5, -1, 0
Let l(o) be the third derivative of 13*o**8/1008 - 4*o**7/21 + 44*o**6/45 - 71*o**5/30 + 211*o**4/72 - 5*o**3/3 + 1628*o**2. Find h, given that l(h) = 0.
3/13, 1, 2, 5
Let p = -255 - -259. Suppose -58*o - 4*o**5 + 18*o + 25*o**3 + 5*o**2 - 5*o**p + 20 - o**5 = 0. Calculate o.
-2, 1
Let n be ((-3)/15*2 + 0)*(-3)/36. Let v(i) be the third derivative of 0*i**3 + 0 + 1/6*i**4 + 0*i + 2/15*i**5 - 6*i**2 + n*i**6. Factor v(c).
4*c*(c + 1)**2
Factor -1 - 5/2*t**3 - 7/2*t - 1/2*t**4 - 9/2*t**2.
-(t + 1)**3*(t + 2)/2
Let n(i) be the third derivative of 3*i**2 + 0 + 0*i**3 - 1/1344*i**8 - 1/48*i**5 - 1/160*i**6 + 1/168*i**7 - i + 1/24*i**4. Solve n(w) = 0.
-1, 0, 1, 4
Let j = 66642/433511 - -4/33347. Solve 10/13*x**3 - 16/13*x - 4/13*x**2 + 0 - j*x**4 = 0.
-1, 0, 2, 4
Let i(v) be the first derivative of -2*v**3/3 - 330*v**2 + 2854. Factor i(r).
-2*r*(r + 330)
Let f(l) = 79*l**2 - 15 - 68*l**2 - 51*l - 15 + 14 - 31. Let k(p) = -36*p**2 + 154*p + 140. Let q(o) = 20*f(o) + 6*k(o). Find i, given that q(i) = 0.
-1, 25
Let s(c) be the first derivative of -c**5/80 + c**4 - 31*c**3/8 - 40*c**2 + 49. Let d(v) be the second derivative of s(v). Let d(o) = 0. What is o?
1, 31
Suppose 52 = -2*o - 4*a, -6*a + 37 - 127 = -3*o. Factor 192/5*g + 78/5*g**o - 18/5*g**3 - 72/5.
-6*(g - 6)*(g + 2)*(3*g - 1)/5
Let n be (-74)/(-4)*504/(-256410)*-55. Solve 0 - 2/5*c**5 + 8/5*c**n + 0*c + 14/5*c**3 + 4/5*c**4 = 0 for c.
-1, 0, 4
Let h(c) = c**3 - c**2 - 3*c + 4. Let b be h(2). Let m be (-9)/(-27) - -2*116/168. Solve -165/7*f**b + m + 36/7*f = 0.
-2/11, 2/5
Let t(r) be the first derivative of r**3/3 + 223*r**2 + 888*r - 5796. Factor t(x).
(x + 2)*(x + 444)
Let x be -13*(-52)/(-8788) + (-120)/(-39). What is q in 24/7*q**4 + 0*q - 152/7*q**2 + 4/7*q**x + 128/7 - 4/7*q**5 = 0?
-2, -1, 1, 4
Let m(f) be the second derivative of -16*f**6/3 - 79*f**5/5 + 122*f**4/3 - 2*f**3 - 2266*f. Suppose m(g) = 0. What is g?
-3, 0, 1/40, 1
Let f = -783768 + 783770. Suppose -3 - 3/2*s**f + 9/2*s = 0. What is s?
1, 2
Factor -2840368*x**3 - 4190814*x**3 + 389344 + 6319848*x**2 - 2716944*x + 2131010*x**3.
-4*(107*x - 46)**3
Let a = 2451 - 2441. Let t be a/(-40) - (-168)/160. Factor 0*i + 0 + 4/5*i**4 + 4*i**3 + 12/5*i**2 - t*i**5.
-4*i**2*(i - 3)*(i + 1)**2/5
Let b = 32927/220 - 449/3. Let u(y) be the third derivative of 72/11*y**3 + 0*y - 9/11*y**4 - 9*y**2 + 0 + 3/55*y**5 - b*y**6. Factor u(s).
-2*(s - 6)**3/11
Determine u, given that -214*u - 19 - 63*u**2 - 37*u**2 - 125*u**2 - 45 - 26*u = 0.
-8/15
Let m(s) be the second derivative of -s**5/20 - 5*s**4/6 + 11*s**3/6 + s**2 + 5*s. Let x be m(-11). Factor -q - 969 - q**3 + 969 + x*q**2.
-q*(q - 1)**2
Let v(y) be the third derivative of 5*y - 1/120*y**5 - 1/3*y**3 - 3*y**2 + 0 - 1/12*y**4. Determine l so that v(l) = 0.
-2
Factor 256/5 - 124/5*f**2 + 4/5*f**3 - 136/5*f.
4*(f - 32)*(f - 1)*(f + 2)/5
Let y(s) = 4*s**2 - 6*s + 3. Let l be y(3). Suppose 6 = 9*a - l. Solve -4*x**3 - 2*x**4 + 14 + 0*x**4 + 40*x + 12*x**3 + 36*x**2 + 0*x**a = 0.
-1, 7
Let g = -92210/3 - -30325. Let y = -410 - g. Let -y*b**3 + 0*b**2 + 0 + 5/3*b = 0. What is b?
-1, 0, 1
Let l(t) be the third derivative of 0 + 2/21*t**5 + 0*t**3 - 2/735*t**7 + 0*t**4 + 3/70*t**6 + 39*t**2 + 0*t. Let l(x) = 0. Calculate x.
-1, 0, 10
Let o(t) be the second derivative of t**8/15120 + t**7/1890 - t**6/180 + t**5/54 - 13*t**4/4 + 2*t - 35. Let p(r) be the third derivative of o(r). Factor p(z).
4*(z - 1)**2*(z + 5)/9
Let 476/5*h**2 - 2/5*h**5 - 228/5*h**3 - 122/5*h**4 - 354/5 + 46*h = 0. What is h?
-59, -3, -1, 1
Let q be 386/(-382) + 4 - 3. Let k = q + 412/2865. Factor 2/5*z + 0 + k*z**2.
2*z*(z + 3)/15
Let l(f) = -15*f**2 + 77*f + 50. Let v(m) = -30*m**2 + 150*m + 100. Let x(b) = -5*l(b) + 3*v(b). Solve x(k) = 0 for k.
-2/3, 5
Let q(p) = -p**2 + 674*p - 104343. Let s(t) = -t**2 + 670*t - 104341. Let z(j) = 6*q(j) - 7*s(j). Factor z(r).
(r - 323)**2
Let b(d) be the third derivative of -17*d**5/20 + 23*d**4/4 - 12*d**3 - 26*d**2 + 13*d. Factor b(v).
-3*(v - 2)*(17*v - 12)
Factor 3 + 168*k - 2234 - 1297 + 327*k**2 + 321*k**2 - 650*k**2.
-2*(k - 42)**2
Factor 103/10*y + 198/5 + 1/10*y**2.
(y + 4)*(y + 99)/10
Let r(i) be the second derivative of -i**5/120 - 347*i**4/24 - 346*i**3/3 - 1037*i**2/3 - 1229*i - 2. Find o such that r(o) = 0.
-1037, -2
Let n(r) = -7*r**3 + 2*r**2 - 4*r + 8. Let z(l) = -16*l**3 + 10*l**2 - 8*l + 16. Let g(q) = -5*n(q) + 2*z(q). Solve g(a) = 0 for a.
-2, 2/3
Let i(x) be the third derivative of x**6/120 - 3*x**5/40 + 61*x**3/6 + 5*x**2 - 5. Let y(h) be the first derivative of i(h). Factor y(s).
3*s*(s - 3)
Solve -1/3*q**3 - 1568/3 - 106/3*q**2 - 800/3*q = 0.
-98, -4
Let t(u) be the first derivative of 56 + 72/5*u**2 + 27/5*u**3 + 64/5*u. Let t(x) = 0. What is x?
-8/9
Let x(r) = -15*r**3 + 142*r**2 - 1439*r + 3266. Let q(t) = -2*t**3 + 18*t**2 - 180*t + 408. Let p(y) = -31*q(y) + 4*x(y). Solve p(n) = 0.
-13, 4
Suppose -5*n = -9 - 16. Let -9*r - 6*r + 8 + 1 + n*r**2 + 1 = 0. What is r?
1, 2
Suppose 94 = 3*z + 94. Let j(c) be the third derivative of 0*c - 1/390*c**5 - 1/156*c**4 - 16*c**2 + z + 2/39*c**3. Suppose j(x) = 0. Calculate x.
-2, 1
Suppose -31*n = -27*n - 4*b - 24, b = -2*n. Let k be 44/(-110)*(2 - 5/n). Suppose 0*r + 1/5*r**3 - 1/5*r**5 + 0 + 1/5*r**4 - k*r**2 = 0. What is r?
-1, 0, 1
Suppose 0 = -2*k - 5*s + 16, 67*k + 4*s + 1 = 70*k. Let p(o) be the second derivative of -1/102*o**4 + 1/17*o**k - 20*o - 2/17*o**2 + 0. Factor p(i).
-2*(i - 2)*(i - 1)/17
Let b be (12/45)/2 + (-80)/600. Suppose 0*n**2 + 3/5*n**4 - 9*n**3 + b + 0*n = 0. Calculate n.
0, 15
Let x(m) = -2*m**3 - m**2 - m - 1. Let d(k) = 3*k**3 - 26*k**2 + 111*k + 1. Let r(h) = -4*d(h) - 4*x(h). Suppose r(t) = 0. What is t?
0, 5, 22
Let h(l) be the first derivative of 1/60*l**4 + 15*l - 2/5*l**2 + 4/15*l**3 - 30 - 1/50*l**5. Let c(u) be the first derivative of h(u). Factor c(j).
-(j - 2)*(j + 2)*(2*j - 1)/5
Let c(j) = -2*j + 54. Suppose a + g = -2*a + 81, 5*a - g = 127. Let h be c(a). Factor 91*k + 12 + 9*k**2 + 6*k**3 - 69*k - 49*k**h.
2*(k - 6)*(k - 1)*(3*k + 1)
Let r(o) be the second derivative of 3*o**5/140 - 157*o**4/28 + 520*o**3 - 17850*o**2 + 3206*o. Let r(d) = 0. What is d?
17, 70
Let j(c) be the second derivative of c**5/135 - 13*c**4/216 + c**3/18 + 13*c**2/2 - 23*c. Let a(k) be the first derivative of j(k). Factor a(s).
(s - 3)*(4*s - 1)/9
Let m(d) be the first derivative of 0*d**5 + 10 + 1/30*d**6 - 7*d**2 + 4/3*d**3 - 1/2*d**4 + 0*d. Let w(c) be the second derivative of m(c). Solve w(y) = 0.
-2, 1
Let m = 34 + -32. Factor -102*r**2 - 103*r**2 + 302*r**2 - 36*r - 93*r**m.
4*r*(r - 9)
Let d(q) be the third derivative of 128*q**7/105 + 56*q**6/15 + 11*q**5/5 - 7*q**4/3 + 2*q**3/3 - q**2 - 282. Solve d(n) = 0 for n.
-1, 1/8
Let s(y) = -13*y - 52 + 20 - 8*y + 5*y - 2*y**2. Let m(v) = v**2 + 8*v + 16. Let x = 83 + -77. Let b(p) = x*s(p) + 11*m(p). Suppose b(r) = 0. What is r?
-4
Factor -67*w**2 + 16*w**2 + 139*w**3 + 45*w + 75*w**3 + 3*w**4 - 211*w**3.
3*w*(w - 3)*(w - 1)*(w + 5)
Determine d so that 28*d**3 + 2/7*d**5 + 0 + 102/7*d**4 + 0*d + 0*d**2 = 0.
-49, -2, 0
Let c(p) = 15*p**3 + 1470*p**2 - 91*p - 1375. Let a(b) = 5*b**3 + 490*b**2 - 29*b - 460. Let q(u) = 19*a(u) - 6*c(u). Find g such that q(g) = 0.
-98, -1, 1
Factor 510 - 515*h - 58*h**2 + 208*h**2 - 55*h**2 - 90*h**2.
5*(h - 102)*(h - 1)
Let h(a) = a**3 + 75*a**2 + 6*a + 453. Let o be h(-75). Let t(j) be the first derivative of 1/2*j**4 - 1/3*j**o + 0*j**2 + 0*j - 8 - 1/5*j**5. Factor t(s).
-s**2*(s - 1)**2
Let c(g) = -2*g + 20. Let r(v) = v**3 - 20*v**2 + 20*v - 10. Let j be r(19). Let z be c(j). Suppose 6 - d**2 + 7*d**z - 3*d**2 - 9*d = 0. What is d?
1, 2
Suppose -8 = -6*s + 10. Suppose s*d = d + 502. Find m such that d*m - 496*m - 3*m**4 - 21*m**3 + 245*m = 0.
-7, 0
Suppose -19*m + 9*m = 139*m. Let 4/13*t**3 + 2/13*t**4 - 2/13*t**2 - 4/13*t + m = 0. Calculate t.
-2, -1, 0, 1
Let l = -3758 + 3762. Let p(h) be the second derivative of -1/3*h**l - 2*h**2 - 4/3*h**3 + 0 - 14*h. Factor p(x).
-4*(x + 1)**2
Let k(i) be the second derivative of i**4/18 + 1022*i**3/9 + 261121*i**2/3 -