2. Let j be v(1). What is u in 479*u + 38*u**4 - 1595*u**3 + 240 + j*u + 557*u - 2018*u**4 + 1740*u**2 + 175*u**5 = 0?
-1, -2/5, -2/7, 1, 12
Determine i so that 680/9 - 2/9*i**2 + 226/3*i = 0.
-1, 340
Suppose 4*c + 3 = 3*h - 69, h - 31 = -c. Let j = h + 42. Factor -3*u**2 - 126 - u**2 - j + 26*u + 30*u.
-4*(u - 7)**2
Let n(b) = -9*b**4 - 6*b**3 + 100*b**2 + 14*b - 83. Let h(g) = -35*g**4 - 25*g**3 + 395*g**2 + 55*g - 330. Let a(q) = 4*h(q) - 15*n(q). Solve a(l) = 0.
-5, -1, 1, 3
Let t(i) be the first derivative of -i**4/28 + 121*i**3/3 + 424*i**2/7 + 1638. Suppose t(q) = 0. What is q?
-1, 0, 848
Let d = -1866/11 - -57263/341. Let r = d + 389/155. Suppose r*o**4 + 8/5*o + 4/15*o**2 - 22/15*o**3 - 16/15 - 2/15*o**5 = 0. What is o?
-1, 1, 2
Let q(w) be the second derivative of w**4/48 + 161*w**3/24 + 237*w**2/4 - 245*w + 2. Let q(g) = 0. What is g?
-158, -3
Solve 456 - 242*i + i**3 + 334*i**2 + 112*i**2 - 441*i**2 = 0.
-19, 2, 12
What is j in -1/2*j**3 + 1/2*j - 10 + 10*j**2 = 0?
-1, 1, 20
Let r = 336631/14174 + 3/28348. Factor 161/8*h - 49/8 + 1/8*h**5 + 47/4*h**3 - 17/8*h**4 - r*h**2.
(h - 7)**2*(h - 1)**3/8
Let z = -41 - -45. Let c be 2 + (z + -3 - 1). What is r in -48*r + 97*r + r**c - 47*r = 0?
-2, 0
Let r(v) be the third derivative of v**7/98 + 26*v**6/35 + 2481*v**5/140 + 3097*v**4/28 - 1444*v**3/7 - 4*v**2 + 292. Find n such that r(n) = 0.
-19, -4, 2/5
Let x(d) be the second derivative of -13/10*d**5 + 1 + 0*d**3 + 30*d + 32/15*d**6 - 17/21*d**7 + 0*d**2 - 1/3*d**4. Factor x(g).
-2*g**2*(g - 1)**2*(17*g + 2)
Let n(t) be the first derivative of 209 + 0*t - 1/36*t**6 - 1/4*t**2 + 1/6*t**4 - 1/9*t**3 + 1/15*t**5. Let n(u) = 0. What is u?
-1, 0, 1, 3
Suppose -4*q = 6*r - 5*r - 142, 0 = q + 5*r - 45. Let b be (-12)/(-15) + 84/q. Solve -8/5*v + 2/5*v**3 + b - 4/5*v**2 = 0.
-2, 2
Factor -76*m - 49 + 183 - 4*m**3 - 62 - 59 - 43 - 34*m**2.
-2*(m + 3)*(m + 5)*(2*m + 1)
Let j be 38/(-57)*(66/(-12) - -1). Let x(c) be the third derivative of 1/4*c**5 + 0 + 0*c - 10/3*c**j - 55/24*c**4 - 10*c**2. Factor x(t).
5*(t - 4)*(3*t + 1)
Let t = -545 - -549. Factor 43*i**2 + 157*i - 195*i - 21*i**3 + t + 7*i**2 + 5*i**3.
-2*(i - 2)*(i - 1)*(8*i - 1)
Let a(b) be the first derivative of 7*b**4/38 - 682*b**3/57 - 98*b**2/19 - 659. Factor a(s).
2*s*(s - 49)*(7*s + 2)/19
Let l(h) be the first derivative of 19*h**6/30 - 12*h**5/5 - 2*h**4/3 + 21*h**2/2 - 85. Let f(c) be the second derivative of l(c). Solve f(v) = 0 for v.
-2/19, 0, 2
Factor -38/9*s**2 - 238/9*s - 490/9 - 2/9*s**3.
-2*(s + 5)*(s + 7)**2/9
Let l(p) = -p**3 + 7*p**2 - 12*p + 2. Let q be l(4). Factor -47*d + 4*d**2 + d**2 + 79*d - d**q.
4*d*(d + 8)
Let z(f) be the second derivative of -f**5/15 + 2*f**3/3 - 43*f**2/2 - 20*f. Let b(w) be the first derivative of z(w). Let b(s) = 0. What is s?
-1, 1
Let f = -120 - -127. Let m(u) = -2*u + 18. Let o be m(f). Find b such that -3*b**5 + 6*b**4 - 2*b**2 - o*b**2 + 566*b**3 - 563*b**3 = 0.
-1, 0, 1, 2
Suppose 13*q - 7929 - 11480 = 0. Let d = q - 1490. Factor -25/6*n**4 + 5/3*n + 15/2*n**d + 0 + 5/6*n**5 - 35/6*n**2.
5*n*(n - 2)*(n - 1)**3/6
Let b(l) be the second derivative of 4*l**2 - 9*l + 4 + 5/6*l**4 - 4*l**3. Factor b(z).
2*(z - 2)*(5*z - 2)
Factor 26 - 1/2*s**2 - 51/2*s.
-(s - 1)*(s + 52)/2
Let m be (0 - 1 - -7)*(-4)/(-6). Suppose -m*p + 3*q = -6 + 4, 16 = 5*p + 3*q. Determine b so that 1 - 2*b**3 + p + 2 - 3 + 2*b - 2*b**2 = 0.
-1, 1
Suppose -178/9*d + 46/3 - 14/9*d**3 - 110/3*d**2 = 0. Calculate d.
-23, -1, 3/7
Determine p, given that 443*p + 200 - 266*p - 39*p**2 + 2*p**4 + 206*p**3 + 425*p + 645*p**2 = 0.
-100, -1
Let z(n) be the third derivative of -137*n - 1/60*n**5 + 2*n**2 + 1/120*n**6 + 0 - 5/24*n**4 - 1/2*n**3. Determine h, given that z(h) = 0.
-1, 3
Let y = -6688 - -6692. Let h(w) be the second derivative of 3*w**2 + 27/20*w**5 + 5/2*w**3 + 26*w + 0 - 4*w**y. Factor h(f).
3*(f - 1)**2*(9*f + 2)
Determine c, given that -2*c**2 - 8*c - 39003 - 8*c**2 + 39003 - 4*c**4 - 10*c**2 - 16*c**3 = 0.
-2, -1, 0
Suppose -98/23*y**2 - 1827872/23 + 26768/23*y = 0. What is y?
956/7
Let s(m) be the first derivative of -151 + 0*m - 1/8*m**2 + 1/12*m**3. Find v such that s(v) = 0.
0, 1
Let s(c) be the second derivative of 3*c**5/20 + 12*c**4 - 50*c**3 - 121*c. Factor s(f).
3*f*(f - 2)*(f + 50)
Let b(k) be the third derivative of k**8/168 - 26*k**7/105 + 7*k**6/4 + 30*k**5 - 19*k**2 + 2*k. Factor b(t).
2*t**2*(t - 15)**2*(t + 4)
Solve -3/7*p**2 - 765/7 + 96/7*p = 0.
15, 17
Let p be 264/30 - (-7)/35. Determine l so that -p*l**3 + 6*l**3 - 9*l**2 - 6*l + 9*l**4 + 9*l = 0.
-1, 0, 1/3, 1
Let u(z) = -2*z**2 - 94*z - 5. Let b(v) = -4*v + 1. Let a(d) = 5*b(d) + u(d). Determine h, given that a(h) = 0.
-57, 0
Suppose 17*m - 29*m - 25*m = 41*m - 156. Suppose 3/2*w - 3*w**3 - 6*w**4 - 5/2*w**5 + 0 + 2*w**m = 0. Calculate w.
-1, 0, 3/5
Let q(h) = h**2 + 933*h + 1010. Let p(c) = -c**2 + 12*c. Let o(y) = -6*p(y) - q(y). Solve o(v) = 0 for v.
-1, 202
Let a(j) be the second derivative of -5*j**4/48 + 5*j**3/4 + 135*j**2 + 65*j + 12. Solve a(c) = 0 for c.
-12, 18
Suppose 108/7*w**3 + 0 + 1/7*w**4 - 214/7*w + 15*w**2 = 0. What is w?
-107, -2, 0, 1
Let q(c) be the third derivative of c**5/150 - 113*c**4/60 + 112*c**3/15 - 412*c**2 - 2. Factor q(g).
2*(g - 112)*(g - 1)/5
Let c(t) be the third derivative of t**5/270 + 7*t**4/36 - 130*t**3/27 - 2*t**2 - 211*t. Factor c(m).
2*(m - 5)*(m + 26)/9
Let 120/11*l - 56/11 - 2/11*l**4 - 86/11*l**2 + 24/11*l**3 = 0. What is l?
1, 2, 7
Let v = -116 + 169. Suppose v*c - 52*c = 3. Find y such that 0*y + y**2 + 0 + 7/2*y**4 + 9/2*y**c = 0.
-1, -2/7, 0
Let i(p) = 2*p**3 + p**2 - 2*p + 2. Let u(j) = -3*j**3 - 3*j**2 + 89*j - 94. Let x(r) = 3*i(r) - u(r). Factor x(s).
(s + 4)*(3*s - 5)**2
Let m(i) be the third derivative of 0*i**3 + 0*i + 1/336*i**8 + 0*i**5 + 142*i**2 + 1/6*i**4 + 0 - 1/24*i**6 + 0*i**7. Solve m(v) = 0 for v.
-2, -1, 0, 1, 2
Factor -99/4*y**2 - 145/2*y - 1/4*y**3 - 48.
-(y + 1)*(y + 2)*(y + 96)/4
Suppose -k + 5*k - 3*x + 1 = 0, -8 = 5*k + 3*x. Let m be (k/(-3))/(110/462) + -1. Factor -2/5*z**3 + 0*z + m*z**4 - 2/15*z**5 + 2/15*z**2 + 0.
-2*z**2*(z - 1)**3/15
Let z be (-4 + 2)*24/(-6). Factor 21*w + 11*w + 4*w**3 + 24 + 20*w**2 - z.
4*(w + 1)*(w + 2)**2
Let k be (11 + 7/(-4) + -9)*(-1 - -1). Factor 0 + 1/3*o**5 + 4/3*o**4 + 5/3*o**3 + k*o + 2/3*o**2.
o**2*(o + 1)**2*(o + 2)/3
Let n be ((-2)/(-4))/(-4 + (-63)/(-12)). Let q be ((-100)/625)/(2 - (-24)/(-10)). Factor -q*o**3 + 2/5*o + 2/5*o**2 - n.
-2*(o - 1)**2*(o + 1)/5
Let z(f) be the second derivative of f**4/18 - 346*f**3/9 + 115*f**2 - 393*f. Factor z(n).
2*(n - 345)*(n - 1)/3
Let l = -575072591/380490 - -1/76098. Let r = 1521 + l. Factor -3/5 + 24*d**3 + 6*d - 99/5*d**2 - r*d**4.
-3*(d - 1)**2*(4*d - 1)**2/5
Let u be ((-267)/4)/((2430/12)/(-45)). Let m = u + -40/3. Factor m + 3/4*q - 3/4*q**2.
-3*(q - 2)*(q + 1)/4
Let k be 4*(-24 + 10)*(-1)/28. Factor -4/9 + 32/3*w**k + 10/3*w**5 + 116/9*w**4 + 14/9*w + 164/9*w**3.
2*(w + 1)**4*(15*w - 2)/9
Let d(t) be the second derivative of 2*t**6/45 - 29*t**5/4 - 109*t**4/36 - 495*t. Factor d(p).
p**2*(p - 109)*(4*p + 1)/3
Let s = -10 + -50. Let m be 4/((-8)/s - 78/(-90)). Solve 0 + 1/6*j - 1/6*j**m + 1/6*j**2 - 1/6*j**3 = 0.
-1, 0, 1
Let l = 35897 - 107341/3. Let 8*r + 98/3*r**4 + 176/3*r**2 + 0 + l*r**3 = 0. What is r?
-3, -2/7, 0
Suppose -27 = -f - 3*a, -6*a - 163 = -4*f - 7*a. Suppose 2334*o - f = 2313*o. Factor 676/9 + 104/9*i + 4/9*i**o.
4*(i + 13)**2/9
Let f(u) be the third derivative of u**7/945 - 32*u**6/135 - 1219*u**5/90 - 710*u**4/3 - 816*u**3 - 45*u**2 + 33. Find n, given that f(n) = 0.
-12, -1, 153
Let c(h) be the second derivative of h**5/10 + 41*h**4/2 + 160*h**3 + 476*h**2 + 2122*h. Find s, given that c(s) = 0.
-119, -2
Let g(z) = -54*z + 110. Let c be g(2). Factor 22*i**4 + 44*i**3 + 2*i**2 - 2*i**4 + 9*i**c - 3*i**2.
4*i**2*(i + 2)*(5*i + 1)
Let m = 136 - 124. Let g be ((63/(-30))/7)/(m/(-10)). What is h in -h - 1/4*h**4 + g*h**2 + 0 + h**3 = 0?
-1, 0, 1, 4
Let g(t) be the third derivative of -t**5/15 - 11*t**4/3 - 2*t**2 - 12*t. Let g(q) = 0. What is q?
-22, 0
Let u(d) = -d**2 - 12*d - 4. Let g(y) = -y**2 - 11*y - 5. Let i(f) = 5*g(f) - 4*u(f). Let r be i(-4). Solve 2*o**3 + 6*o**2 - 3*o + 3*o**3 - 8*o**r = 0 for o.
0, 1
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