 0. Calculate b.
-1, 1
Let r = 340 - 314. What is n in r*n**3 - 22*n - 56*n**3 + 31*n**3 + 9*n**2 = 0?
-11, 0, 2
Let l = -456/181 - -7738/2353. Let 12/13 - l*h + 2/13*h**2 = 0. What is h?
2, 3
Let o(c) = -c**2 - 14*c - 19. Suppose 2*t - 2 = 0, -3*i - 38 = -4*t + 2. Let r be o(i). Let 8*d**2 + 42*d + 28*d**r - 8*d**4 - 42*d - 28*d**3 = 0. What is d?
-1, 0, 2/7, 1
Let w(a) be the second derivative of -a**3 + 10*a**2 + 0 - 1/6*a**4 - 12*a. Solve w(m) = 0.
-5, 2
Let p(j) be the second derivative of 5*j**7/42 + 17*j**6/6 - 63*j**5/2 + 665*j**4/6 - 1135*j**3/6 + 345*j**2/2 - 2464*j. Find d such that p(d) = 0.
-23, 1, 3
Let f be (8 + -2)/(-60)*-22*(-36)/(-198). Suppose -f*g**2 - 8/5 + 8/5*g = 0. What is g?
2
Let z(c) be the third derivative of 2 + 11*c**2 - 16/9*c**3 + 1/9*c**4 + 2/15*c**5 - 1/315*c**7 + 1/180*c**6 + 0*c. Let z(u) = 0. Calculate u.
-2, 1, 4
Let h(m) be the first derivative of -9/20*m**4 - 6/5*m + 3/25*m**5 + 1/5*m**3 + 26 + 9/10*m**2. Determine f, given that h(f) = 0.
-1, 1, 2
Let q(n) = 3*n**2 - 7*n + 4. Let f(s) = 3*s - 34. Let m be f(13). Let b(d) = -7*d**2 + 15*d - 7. Let v(r) = m*q(r) + 2*b(r). Find g such that v(g) = 0.
2, 3
Suppose -3/7*r**2 + 654/7*r + 1320/7 = 0. What is r?
-2, 220
Let n(c) = 3*c**2 + c + 3. Let j(k) = k**2. Let z(f) = 4*j(f) - n(f). Let g be z(3). Let 22*r**3 - 37*r**3 - g*r**2 + 16*r**3 = 0. Calculate r.
0, 3
What is h in -16*h + 284*h**2 - 68*h**4 - 184*h**3 - 4*h**3 - 12*h**3 = 0?
-4, 0, 1/17, 1
Let b(z) = -7*z - 84. Let g be b(-12). Suppose -4*r - 12 = 5*i, g = -8*r + 6*r - 2*i - 4. Factor 8/17*x**r - 2/17 + 6/17*x.
2*(x + 1)*(4*x - 1)/17
Suppose 272/15 + 2/15*g**2 + 10/3*g = 0. What is g?
-17, -8
Suppose 23 + 4 = p. Factor 40*m - 5*m**2 + 14*m**3 + p*m**3 + 101*m**2 - 81*m**3 + 4*m**4 - 100.
4*(m - 5)**2*(m - 1)*(m + 1)
Let l(s) be the first derivative of -3*s**4/20 - 31*s**3/5 - 177*s**2/10 - 87*s/5 + 826. Factor l(c).
-3*(c + 1)**2*(c + 29)/5
Let k be (4/(-18))/(-1)*104/((-5200)/(-450)). Factor 52/5*u + 338/5 + 2/5*u**k.
2*(u + 13)**2/5
Let g = 118500 + -118496. Factor 3/4*n**2 + 13/2*n - 2*n**3 + g - 1/4*n**4.
-(n - 2)*(n + 1)**2*(n + 8)/4
Let m(f) = f**3 + 23*f**2 + 31*f + 132. Let i be m(-21). Suppose r - 365 + i = 0. Factor 0*d**3 + 1/3*d**r + 1/6*d**5 + 0 - 1/3*d**4 - 1/6*d.
d*(d - 1)**3*(d + 1)/6
Let n be 152/4123*6 - (-8)/124. What is g in 2*g + n*g**5 - 16/7*g**3 - 4/7*g**4 - 4/7*g**2 + 8/7 = 0?
-1, 1, 4
Factor 2/5*s**3 + 0 + 2/5*s - s**2.
s*(s - 2)*(2*s - 1)/5
Suppose 95 = 920*b - 901*b. Let p(s) be the first derivative of -b*s**2 - 17 - 2/3*s**3 - 12*s. Factor p(u).
-2*(u + 2)*(u + 3)
Find s, given that 8*s**2 - 3*s**2 + 129384 + 61359 - 860*s + 195677 + 3640*s = 0.
-278
Let s(l) be the first derivative of 2*l**6/15 - l**5/20 - l**4/3 + l**3/6 + 60*l + 34. Let p(f) be the first derivative of s(f). Factor p(i).
i*(i - 1)*(i + 1)*(4*i - 1)
Let n(x) = 12*x - 562. Suppose 5*f = 5*o + 230, 71 + 65 = 3*f - 5*o. Let p be n(f). Factor 3/5*y + 0 + 12/5*y**3 - 3*y**p.
3*y*(y - 1)*(4*y - 1)/5
Let k(a) be the third derivative of -a**5/180 + a**4/36 + 65*a**3/6 - 2319*a**2. Factor k(r).
-(r - 15)*(r + 13)/3
Let a(p) be the second derivative of -p**4/12 - 39*p**3 + 585*p. Suppose a(l) = 0. Calculate l.
-234, 0
Suppose 0 = z + 2 - 6. Let u(t) = -2*t**2 - 31*t - 117. Let l be u(-7). Determine c so that 32 + z*c**l + 34 + 32*c - 2 = 0.
-4
Let a(b) be the second derivative of -b**6/10 + 21*b**5/5 + 91*b**4/4 + 31*b**3 - 18*b - 3. Factor a(d).
-3*d*(d - 31)*(d + 1)*(d + 2)
Suppose 5*t - 27*k + 28*k + 3109 = 0, -2*k + 1246 = -2*t. Let g = t - -627. Factor 3/7*s**g + 39/7*s + 54/7*s**3 + 66/7*s**2 + 9/7 + 3*s**4.
3*(s + 1)**4*(s + 3)/7
Let c(a) = -6*a**2 + 198*a - 4804. Let j = -130 - -126. Let h(u) = -14*u**2 + 397*u - 9609. Let y(v) = j*h(v) + 10*c(v). Factor y(d).
-4*(d - 49)**2
Let a(o) = -o**2 - 9*o - 1589 - 2*o + 1579. Let f be a(-10). Determine s, given that -8/11*s + f + 8/11*s**2 - 2/11*s**3 = 0.
0, 2
Let p(m) be the second derivative of -m**4/28 - 37*m**3/7 - 216*m**2/7 + 2*m + 2406. Find h such that p(h) = 0.
-72, -2
Let i(z) be the first derivative of 29/14*z**2 - 76 + 1/21*z**3 + 0*z. Find s such that i(s) = 0.
-29, 0
Let w(o) be the first derivative of 4*o**5/5 + 456*o**4 + 71112*o**3 + 615600*o**2 + 1822500*o + 4058. Suppose w(c) = 0. What is c?
-225, -3
Let h(u) = 3*u - 31. Let r be h(13). Let l(f) = f**2 - 6*f - 12. Let i be l(r). Let 9*o**2 - 9*o**3 - 75*o + i*o**3 - 24*o**2 - 20*o**2 - 45 = 0. Calculate o.
-3, -1
Let z = 45 + -25. Factor -z*u**2 - 2*u**3 + 9*u + 15*u**2 + u - 3*u**3.
-5*u*(u - 1)*(u + 2)
Let j(l) be the third derivative of -l**6/840 + 51*l**5/140 - 2601*l**4/56 + 44217*l**3/14 - 59*l**2 - 1. Factor j(v).
-(v - 51)**3/7
Suppose 8*o = -84 + 140. Let p(i) be the second derivative of 0*i**3 + 1/18*i**6 + 0*i**4 + 0*i**2 + 0 + 1/24*i**5 - 16*i + 5/252*i**o. Let p(h) = 0. What is h?
-1, 0
Let f be -2 - (2 + 8/(-44) + (-194)/22). Let s(l) be the third derivative of 0*l + 0 - 1/90*l**f + 1/18*l**4 - 11*l**2 + 1/3*l**3. Find k, given that s(k) = 0.
-1, 3
Suppose 29 = 3*g - 0*g + 4*h, 3*g - 3*h = -6. Suppose 63 = -8*a + 103. Solve 80*t**2 + 16*t + 42*t**g - 46*t**4 + 42*t**3 - 28*t**a + 38*t**4 = 0.
-1, -2/7, 0, 2
Determine o so that 237*o - 25 + 330*o**3 + 21 - 12*o**4 + 9*o**5 - 59*o**4 - 38 - 432*o**2 - 31*o**4 = 0.
1/3, 1, 2, 7
Let u(k) = k**3 + 8*k**2 + 3*k + 3. Let m be u(-7). Let i = 96 + -62. Factor m*p**4 + 3*p**2 - 3*p**3 - i*p**4 + 4 + 3*p - 4.
-3*p*(p - 1)*(p + 1)**2
Factor 124*h**3 - 122*h**3 - 2*h + 197 + 616*h**2 - 123 - 690.
2*(h - 1)*(h + 1)*(h + 308)
Let n(t) be the second derivative of 1/9*t**4 - 107*t + 0 - 8/15*t**3 + 0*t**2 + 1/150*t**5. Determine x, given that n(x) = 0.
-12, 0, 2
Factor 692*j**3 - 1539*j**3 + 9*j**5 - 132*j**4 - 3528*j**3 - 15625*j**2 - 143*j**4 - 14*j**5.
-5*j**2*(j + 5)*(j + 25)**2
Let r(d) be the third derivative of d**5/30 + 358*d**4/3 + 512656*d**3/3 - 3*d**2 - 104*d. Factor r(c).
2*(c + 716)**2
Factor 2*z**3 - 21*z + 17*z - 82*z**2 - 81*z**2 + 245*z**2 - 84*z**2.
2*z*(z - 2)*(z + 1)
Find u such that 5*u**3 + 60*u**2 + 70 - 239*u + 69*u + 24*u + 11*u = 0.
-14, 1
Let u(s) be the first derivative of 0*s + 1/2*s**3 + 0*s**2 + 2/5*s**5 - 1/24*s**6 + 17 - 13/16*s**4. Solve u(o) = 0 for o.
0, 1, 6
Let o be (3/21)/(((-162)/147)/((-39)/728)). Let g(j) be the third derivative of 0 - o*j**4 + 0*j**3 + 7*j**2 - 1/90*j**5 - 1/180*j**6 + 0*j. Factor g(b).
-b*(2*b + 1)**2/6
Let a(w) = -2*w**2 + 9*w + 6. Let v be a(6). Let y be 1/4 + (-2 - 45/v). Solve -1679 + 2*o**y + 1679 - 2*o = 0 for o.
0, 1
What is c in -336/13*c - 3528/13 + 90/13*c**4 + 2/13*c**5 + 2638/13*c**2 + 1134/13*c**3 = 0?
-21, -2, 1
Let s = 12 + -5. Suppose -y = -q - q + 1, -4*q = -5*y + s. Factor 4*w**5 + 22*w**3 - 9*w**4 - 28*w**y - 7*w**5.
-3*w**3*(w + 1)*(w + 2)
Let i be 147/2*(4 + 12992/(-312)). Let p = -2764 - i. Let 18/13 - p*m**2 + 42/13*m + 6/13*m**3 = 0. What is m?
-1/3, 3
Let v(w) be the first derivative of -w**6/10 + 21*w**5/20 - 5*w**4/4 - 7*w**3/2 + 9*w**2 + 93*w - 83. Let o(u) be the first derivative of v(u). Solve o(h) = 0.
-1, 1, 6
Let q(m) be the first derivative of 6*m**5/5 - 47*m**4 + 58*m**3/3 + 62*m**2 - 498. Find z such that q(z) = 0.
-2/3, 0, 1, 31
Let h = -7004 - -21016/3. Let n(j) be the first derivative of -3/2*j**4 - 21 + 0*j - 20/9*j**3 - 7/15*j**5 - 1/18*j**6 - h*j**2. Factor n(o).
-o*(o + 1)*(o + 2)**3/3
Let s(y) be the first derivative of -y**6/2 - 1377*y**5/5 - 82053*y**4/2 - 467802*y**3 - 4137075*y**2/2 - 4100625*y + 4829. Solve s(r) = 0 for r.
-225, -3
Let k(t) be the first derivative of -t**6/1260 - 13*t**5/210 + 9*t**4/28 - 2*t**3 + 2*t - 125. Let s(r) be the third derivative of k(r). Solve s(c) = 0.
-27, 1
Let k(u) be the first derivative of 6*u**5/55 + 31*u**4/11 + 698*u**3/33 + 674*u**2/11 + 624*u/11 - 1395. Let k(w) = 0. What is w?
-13, -4, -3, -2/3
Factor 331*z**3 - 1159*z**3 + 714*z**3 - 216*z - 338*z**2 + 8.
-2*(z + 1)*(z + 2)*(57*z - 2)
Let k(v) be the third derivative of -5*v**8/336 + 8*v**7/21 + 5*v**6/6 - 23*v**5/6 - 415*v**4/24 - 85*v**3/3 + 2*v**2 - 1893*v + 2. Factor k(d).
-5*(d - 17)*(d - 2)*(d + 1)**3
Suppose -30*y + 5 = -35*y. Let l be (-1*(1 + y))/(4 + -2). Factor 0*s**2 + 0*s + 4/5*s**3 - 2/5*s**5 + l + 2/5*s**4.
-2*s**3*(s - 2)*(s