ppose -134 = n + 71. Let u = n + 205. What is q in 3*q**2 - 3/2*q**3 + 0 + u*q = 0?
0, 2
Suppose 0 = 2*x - g - 0*g - 16, 0 = g. Factor 12*c**3 - 3*c**4 + 2*c**5 - 17*c**4 + x*c**4 + c**5.
3*c**3*(c - 2)**2
Let c be (-16)/240*18*(-4)/24. Find r, given that 0 - c*r**3 - 3/5*r**2 - 2/5*r = 0.
-2, -1, 0
Let b be 1 - (-6 + 0) - 5. Factor -135*a**2 + 25 + 30*a - 137*a**2 - 136*a**b + 413*a**2.
5*(a + 1)*(a + 5)
Let j(x) = -2*x + 3. Let d be j(-1). Suppose 4*o - 92 = 5*k - k, 0 = -d*k - 15. Find t such that 5*t**5 - 47*t**4 + 42*t**4 - 20*t**2 - o*t**5 + 40*t**3 = 0.
-2, 0, 2/3, 1
Factor 0*f + 115/7*f**3 + 0 - 1/7*f**4 - 114/7*f**2.
-f**2*(f - 114)*(f - 1)/7
Let t(r) be the third derivative of 0*r - 1 - 1/180*r**5 + 0*r**3 - 7/72*r**4 - 18*r**2. Factor t(j).
-j*(j + 7)/3
Let m(d) be the second derivative of -5*d**4/12 + 175*d**3/6 - 760*d**2 + 153*d. Find l, given that m(l) = 0.
16, 19
Let z(m) be the first derivative of 3*m**2 + 0*m + 85 - 3/5*m**5 + m**3 - 3/2*m**4. Find t, given that z(t) = 0.
-2, -1, 0, 1
Let s(b) be the third derivative of -b**9/120960 + b**7/10080 - 43*b**5/60 - 9*b**2. Let z(r) be the third derivative of s(r). Solve z(c) = 0.
-1, 0, 1
Let v(b) = -5*b**3 + 822*b**2 - 1139*b - 324. Let o be v(163). Factor 0 - 4/5*r**o - 16/5*r**3 + 2/5*r.
-2*r*(2*r + 1)*(4*r - 1)/5
Let r be (0/(0 + -2))/(70 - 68). Let y(p) be the first derivative of r*p**2 + 6 - 2/33*p**3 + 2/11*p. Suppose y(k) = 0. Calculate k.
-1, 1
What is k in 355*k**2 - 5*k**5 - 57*k - 335*k**4 + 727*k + 660*k**2 + 5*k**3 + 10*k**3 = 0?
-67, -1, 0, 2
Let l be 7*1 - (-1 + 2)/(-1). Factor -4 + 2*x - 5145*x**3 - 4 + 5143*x**3 + l*x**2.
-2*(x - 4)*(x - 1)*(x + 1)
Let p = 901560 + -1803117/2. Let 0 + 0*l + 1/4*l**5 - p*l**4 + 2*l**3 + 0*l**2 = 0. What is l?
0, 2, 4
Let m(y) be the first derivative of -y**4/12 - 7*y**3/6 - 67*y**2/12 - 10*y - 3769. Factor m(f).
-(f + 4)*(f + 5)*(2*f + 3)/6
Suppose 0 = -8*a + 405 - 357. Factor -50*h**2 + 26*h**2 - 10*h**3 + a*h**3.
-4*h**2*(h + 6)
Let k = -674081/4 - -168521. Factor -k*a**2 - 11*a - 7.
-(a + 14)*(3*a + 2)/4
Let y = -111075/4 + 27789. Let n be 45/6 - (-6)/(-8). Find w, given that -n*w**2 - 81/4*w - y - 3/4*w**3 = 0.
-3
Suppose 0 = -4*j + 2*q + 30, 19*q + 58 = 18*j + 17*q. Factor -3/4*b**j + 3 - 9/4*b.
-3*(b - 1)*(b + 4)/4
Let f = 105 + -113. Let j be (f/(-7))/(108/378). Suppose 3/7*o**j + 0*o**2 - 6/7*o - 3/7 + 6/7*o**3 = 0. What is o?
-1, 1
Let q(r) be the second derivative of -r**5/4 - 265*r**4/2 - 21330*r**3 - 124820*r**2 + 731*r - 4. Factor q(t).
-5*(t + 2)*(t + 158)**2
Let g = -10/13 + 162/143. Let d be 2/4*-70 - -35. Find a, given that 2/11*a + d - g*a**2 = 0.
0, 1/2
Let i = -13619 + 13621. Let f(q) be the first derivative of -16/21*q**3 + 1/21*q**6 - 4/7*q + 4/35*q**5 - 26 - q**i - 1/7*q**4. Factor f(m).
2*(m - 2)*(m + 1)**4/7
Let a(r) = r**3 + 12*r**2 + 27*r + 4. Let o be a(-9). Let u be ((-48)/(-21) - o)/((-12)/8). Let -8/7*g - 2/7*g**2 - u = 0. What is g?
-2
Let g(z) be the second derivative of -3*z**4/2 - 23*z**3/3 + 12*z**2 - 580*z. Factor g(x).
-2*(x + 3)*(9*x - 4)
Let n = 222 - 209. Solve -14*y**3 + n*y**2 - 2*y**4 + 3*y**4 + 0*y**4 + 135 + 252*y + 189 = 0.
-2, 9
Let v(i) = -4*i - 10. Let g(w) = -5*w + 12. Let a be g(3). Let r be v(a). Factor 24 + 0*n - 4*n + 2*n**2 + r*n**2 - 16*n.
4*(n - 3)*(n - 2)
Suppose 1339*q - 1685 = 2332. Let -6*u**2 + 6 - 2/3*u**q + 2/3*u = 0. Calculate u.
-9, -1, 1
Factor 0*i + 0 + 22/5*i**3 + 0*i**2 + 2/5*i**4.
2*i**3*(i + 11)/5
Let w(h) be the third derivative of -3*h + 9/2*h**4 + 0 + 7*h**2 + 57/8*h**5 - 361/80*h**6 + h**3. Factor w(s).
-3*(s - 1)*(19*s + 2)**2/2
Suppose 22*t + 183 = 140*t - 289. Let -12*d**3 + 3/2*d**t - 3/2*d**2 + 12*d + 0 = 0. What is d?
-1, 0, 1, 8
Suppose 4*v - 2*t - 34 = 0, 2*v + 5*t + 13 = -0*t. Suppose 11*l - 20 = v*l. Factor -2 + 1246*w**5 + 2*w**3 - 2*w**l + 0 - w - 1247*w**5 + 4*w**2.
-(w - 1)**2*(w + 1)**2*(w + 2)
Let z be (-69)/(-9)*((-390)/(-154) + -3). Let x = 41/11 + z. Determine p, given that x*p**2 + 1/7*p + 0 = 0.
-1, 0
Let n = 190 + -196. Let l(p) = 7*p**3 + 50*p**2 + 5. Let a(k) = 9*k**3 + 48*k**2 + 6. Let h(d) = n*l(d) + 5*a(d). Let h(t) = 0. What is t?
0, 20
Factor -162*k**2 + 2*k**3 - 309 - 3 + 280*k + 64*k + 235*k - 107*k.
2*(k - 78)*(k - 2)*(k - 1)
Suppose 0 = -5*n - 6551*b + 6576*b + 420, -2*n - b - 8 = 0. Let 9/5*t**n + 3/5*t**5 - 21/5*t**2 + 0*t - 3/5*t**3 + 12/5 = 0. Calculate t.
-2, -1, 1
Let j = -290/13 - -6883/104. What is q in -243/2*q - 27/4*q**3 + j*q**2 + 243/2 + 3/8*q**4 = 0?
3, 6
Let s(q) be the first derivative of -9*q**4/16 - 40*q**3 - 7125*q**2/8 - 9375*q/2 + 3994. Factor s(y).
-3*(y + 25)**2*(3*y + 10)/4
Let q = 4934848/9 - 548316. What is g in -q - 14/3*g**4 + 2/9*g + 46/9*g**2 - 2/9*g**3 = 0?
-1, -1/3, 2/7, 1
Let v(f) be the first derivative of f**4/32 - 7*f**3/4 + 345*f**2/16 + 529*f/2 + 968. Factor v(d).
(d - 23)**2*(d + 4)/8
Factor 0 - 3/5*p**4 + 1044/5*p**3 + 0*p**2 + 0*p.
-3*p**3*(p - 348)/5
Suppose 0 = -80*u + 88*u - 176. Let a be -2*(-6 - u/(-45)*12). Suppose -a*j + 2/15*j**2 + 0 = 0. Calculate j.
0, 2
Determine q so that -2/3*q**2 - 865928/3 + 2632/3*q = 0.
658
Let h be (1 + 5/(-7))/((-18)/240). Let o = 6/7 - h. Determine z so that -8/9 + o*z**2 + 100/9*z**3 + 50/9*z**4 - 16/9*z = 0.
-1, -2/5, 2/5
Let t be ((-7)/(28/(-15)))/((-6)/(-16)). Suppose -p + t*p - 27 = 0. Factor -p - 12*r**3 + 3 - 15*r**2 - 6*r + 33*r**3.
3*r*(r - 1)*(7*r + 2)
Let t be (-480)/(-100) + 12/(-15). Suppose 208*q**2 + 457 - t*q**3 - 457 - 2704*q = 0. What is q?
0, 26
Let w(j) be the first derivative of 4*j**5/5 + 27*j**4 - 1444*j**3/3 + 666*j**2 + 2513. Factor w(u).
4*u*(u - 9)*(u - 1)*(u + 37)
Let v(j) be the third derivative of j**6/60 - 10*j**5/3 + 97*j**4/3 - 128*j**3 + 17*j**2 + 5*j - 2. Suppose v(r) = 0. What is r?
2, 96
Let n(q) be the first derivative of q**6/360 - q**5/20 + q**4/3 - 68*q**3/3 - 71. Let l(c) be the third derivative of n(c). Let l(i) = 0. What is i?
2, 4
Let l be -3*(2 + -1) - 26/(-2). Suppose -261 = l*d - 2251. Let 199 - 2*m - 9*m**2 - 4*m**3 - d = 0. What is m?
-2, -1/4, 0
Let n(i) be the third derivative of -i**7/10080 + i**6/576 + i**5/80 - i**4/24 - 17*i**3/2 - 8*i**2 + i. Let d(u) be the second derivative of n(u). Factor d(o).
-(o - 6)*(o + 1)/4
Let o(b) be the second derivative of b**5/80 + 143*b**4/48 + 71*b**3/12 - b - 699. Find l, given that o(l) = 0.
-142, -1, 0
Suppose -261/4*a + 3/4*a**2 + 255/2 = 0. What is a?
2, 85
Let g(o) = 3*o**2 + 24666*o + 51245064. Let c(n) = -15*n**2 - 123374*n - 256225321. Let j(l) = 3*c(l) + 14*g(l). Factor j(s).
-3*(s + 4133)**2
Let v(k) be the third derivative of k**8/1680 - k**7/75 + 59*k**6/600 - 29*k**5/150 - k**4/2 + 12*k**3/5 - 399*k**2. Let v(s) = 0. What is s?
-1, 1, 2, 6
Let l(u) = 8*u - 168. Let j be l(30). Let q be 5*j/200 + (-5)/(-25). Determine z so that 2*z + 2/5*z**q + 12/5 = 0.
-3, -2
Let p = 655 - 2605/4. Let c be 45/10*11/6*(-34)/(-374). Determine l so that 3*l**2 + p*l + 3/2 + c*l**3 = 0.
-2, -1
Let x(w) be the second derivative of 7*w**5/90 + w**4/54 - w**2/2 + 11*w - 2. Let z(l) be the first derivative of x(l). Factor z(d).
2*d*(21*d + 2)/9
Let i(q) = -6*q**2 - 77*q - 51. Let c(n) = -n**2 - 2*n + 3. Let d(m) = -10*c(m) + 2*i(m). Factor d(o).
-2*(o + 1)*(o + 66)
Let c(r) be the second derivative of -r**5/50 + 16*r**4/15 + 2*r - 1367. Factor c(f).
-2*f**2*(f - 32)/5
Let u(b) be the second derivative of -2*b**7/147 + 76*b**6/105 - 73*b**5/35 + 12*b**4/7 - 3*b + 632. Factor u(g).
-4*g**2*(g - 36)*(g - 1)**2/7
Suppose -5*y - 2*d + 39 = 0, -4*y - 6*d + 34 = -3*d. Solve -3*r**2 - 3*r - y*r + 4*r - 65 + 74 = 0.
-3, 1
Suppose 4*v + 16 = h, 3*h - 242*v + 240*v - 18 = 0. Factor 6/11*o**h + 2/11*o**5 + 2/11*o**2 + 0 + 0*o + 6/11*o**3.
2*o**2*(o + 1)**3/11
Suppose 2*t + 4*m = 16, -19*m = t - 20*m + 1. Factor 28/5*d - 4 + 4*d**t - 28/5*d**3.
-4*(d - 1)*(d + 1)*(7*d - 5)/5
Factor 128/3 - 62/3*k - 1/3*k**3 - 65/3*k**2.
-(k - 1)*(k + 2)*(k + 64)/3
Factor -12*g + 15/4*g**2 - 16 - 1/4*g**3.
-(g - 8)**2*(g + 1)/4
Let i(o) be the first derivative of 83*o**3/3 - 44*o**2 + 5*o + 2116. Determine s so that i(s) = 0.
5/83, 1
Let i(a) be the second derivative of -a**4/12 - 112*a**3/3 - 223*a**2/2 + 1700*a. What is b in i(b) = 0?
-223, -1
Let s(t) = -54*t - 207. Let k be s(-3). Let y be