7, 1, 4
Suppose 3*i - 42 + 33 = 0. Let v(z) be the second derivative of 0 - 1/32*z**4 - 6*z + 0*z**i + 3/160*z**5 + 0*z**2. Factor v(p).
3*p**2*(p - 1)/8
Let m(x) = 63*x + 63. Let y(k) = k**2 + 66*k + 65. Let s(d) = d**2 + d - 3. Let t be s(2). Let b(h) = t*y(h) - 2*m(h). Determine v so that b(v) = 0.
-23, -1
Let u(n) be the second derivative of -3*n**4/26 - 142*n**3/39 + 32*n**2/13 + 2780*n. Factor u(d).
-2*(d + 16)*(9*d - 2)/13
Let z(i) be the third derivative of -i**6/720 - i**5/24 - 185*i**3/6 + 35*i**2 + 2*i. Let o(k) be the first derivative of z(k). Suppose o(x) = 0. Calculate x.
-10, 0
Let y be ((-516)/(-4128))/((-9)/(-24)). Solve q + 0 + 4/3*q**2 + y*q**3 = 0.
-3, -1, 0
Let s be (-1)/2 + (-4)/(88/11737). Let l = s - -1603/3. Solve -2/3 - l*b**2 - b = 0.
-2, -1
Factor 1/5*b**3 + 7/5*b + 14/5*b**2 - 78/5.
(b - 2)*(b + 3)*(b + 13)/5
Let a(b) = -10*b - 12. Let n be a(-2). Suppose 0 = -n*t - 10*t. Factor 6*j**4 + t*j - 14/3*j**3 + 0 - 4/3*j**2.
2*j**2*(j - 1)*(9*j + 2)/3
Let q(m) be the third derivative of m**8/336 + 33*m**7/70 - 101*m**6/60 + m**5/30 + 67*m**4/8 - 101*m**3/6 - 3*m**2 - 117. Suppose q(p) = 0. Calculate p.
-101, -1, 1
Find h, given that 102 + 46*h**4 + 428*h**2 - 223*h**3 - 2*h**5 - 26*h - 158*h - 5*h**3 + 32*h - 194*h = 0.
1, 3, 17
Determine x, given that -160 - 486*x**2 - 2*x**4 - 7467*x - 253*x**3 + 87*x**3 + 6985*x = 0.
-80, -1
Suppose 0 = -4*i - 2*f + 198 + 484, 0 = 3*i - 3*f - 489. Solve 3*w**2 - 2*w**2 - i - 171 - 4*w - w**4 + 4*w**3 + 343 - 4*w**2 = 0 for w.
-1, 1, 2
Let u(d) = d**3 + 15*d**2 + 16*d + 28. Let x be u(-14). Suppose 5*t - 2*z - 4 = x, 4*t + t - 2 = z. Factor -2/3*g - 1/3*g**2 + t.
-g*(g + 2)/3
Let x(g) = g + 8. Suppose 4 = -f + 2*j, -3 = 3*f - j + 9. Let w be x(f). Factor 29*o**w + 4*o**3 + 1 - 28*o**4 - 1 + 4*o**2.
o**2*(o + 2)**2
Let c(n) be the third derivative of n**7/1470 + n**6/140 + n**5/35 + n**4/21 + 2*n**2 - 281*n. Let c(s) = 0. Calculate s.
-2, 0
Factor 960050*w - 251212*w - 16178811*w + 21*w**3 - 14436187*w - 26*w**3 + 14075832640 + 21180*w**2.
-5*(w - 1412)**3
Suppose 5*b + 5*j = 60, -4*b - 24*j = -23*j - 66. Suppose 0*u = -u + 9. Factor 9 - 55*q + 30 - u*q**2 - 41*q - b*q.
-3*(q + 13)*(3*q - 1)
Let j(n) be the second derivative of n**7/21 - 8*n**6/5 + 21*n**5/10 + 23*n**4/3 + 3830*n. Let j(w) = 0. What is w?
-1, 0, 2, 23
Factor -7*p**3 + 186*p - 176*p + 3 + 4*p**2 - 3*p**3 - 7*p**4.
-(p - 1)*(p + 1)**2*(7*p + 3)
Let p(k) be the first derivative of k**3 - 105*k**2/2 + 102*k + 322. Factor p(q).
3*(q - 34)*(q - 1)
Let p(y) = 4469*y + 62568. Let h be p(-14). Solve -3/4 + 1/2*u + 1/4*u**h = 0.
-3, 1
Factor -6*p**2 - 34*p**3 + 32*p**3 + 17*p + 6 + 18 - 9*p.
-2*(p - 2)*(p + 2)*(p + 3)
Let h(y) be the first derivative of 9*y + 15/4*y**2 + 7 - 1/2*y**3. What is o in h(o) = 0?
-1, 6
Let s(y) be the third derivative of -5*y**8/1344 + 2*y**7/105 - y**6/160 + 919*y**2. Factor s(v).
-v**3*(v - 3)*(5*v - 1)/4
Let t(o) be the third derivative of -o**8/420 + 3*o**7/70 - 79*o**6/600 - 9*o**5/100 + 83*o**4/120 - 3*o**3/5 + 207*o**2. Determine h so that t(h) = 0.
-1, 1/4, 1, 2, 9
Suppose -273612/7 - 3/7*t**2 + 1812/7*t = 0. What is t?
302
Let x(b) be the second derivative of 2/3*b**3 + 13/20*b**5 + 1/42*b**7 + 0*b**2 + 1/5*b**6 + b**4 + 30*b + 0. Solve x(c) = 0.
-2, -1, 0
Let x(p) = -p**3 + 11*p**2 - 9*p + 2. Let j be x(4). Suppose 15*s + j + 3*s**2 - 157 + 79 = 0. What is s?
-5, 0
Let t(p) = -3*p - 12. Let g be t(-6). Let l be (g/(-6))/(2/(-11))*2. What is y in 9*y**4 - 27*y**2 - 26*y - 3*y**3 + 3*y**5 - 10*y - 17*y**2 - 12 + l*y**2 = 0?
-2, -1, 2
Let f = 1/13162 - -26319/65810. Solve 1/5 - 3/5*b**4 + 1/5*b**5 - 3/5*b + f*b**3 + 2/5*b**2 = 0.
-1, 1
Let y be 37/(3256/(-66))*(2 + (-24)/4). Factor 0*i + 0 - 4/11*i**2 - 14/11*i**4 - 18/11*i**y.
-2*i**2*(i + 1)*(7*i + 2)/11
Suppose -2*h**2 + 2198*h - 1207801/2 = 0. Calculate h.
1099/2
Let z be 2*(31/14 + 4/14). Let m be (-51)/(-15) + (15/z - 6). Factor 2*l + m*l**3 - 4/5 - 8/5*l**2.
2*(l - 2)*(l - 1)**2/5
Let g(z) be the first derivative of -z**3 + 237*z**2/2 + 486*z - 305. Solve g(y) = 0.
-2, 81
Let o = 61082/5 - 12216. Let s(y) be the first derivative of 7 + 5/2*y**4 - 14/3*y**3 + 3*y**2 - o*y**5 + 0*y. Factor s(q).
-2*q*(q - 3)*(q - 1)**2
Let r(s) be the second derivative of s**7/2100 + s**6/450 + s**5/300 - 5*s**3/6 + s**2 - 10*s. Let i(b) be the second derivative of r(b). Factor i(p).
2*p*(p + 1)**2/5
Let s(d) be the third derivative of -d**7/280 - d**6/120 + 3*d**5/20 - 5*d**3/6 + 2*d**2 - 3*d. Let g(n) be the first derivative of s(n). Factor g(y).
-3*y*(y - 2)*(y + 3)
Let r(b) be the first derivative of 6*b**2 + 2/3*b**3 + 118 + 0*b. Let r(t) = 0. Calculate t.
-6, 0
Let w(r) be the second derivative of 0 + 13*r + 1/5*r**5 + 4*r**2 + 1/60*r**6 + r**4 + 8/3*r**3. Factor w(k).
(k + 2)**4/2
Let y be (23/((-414)/(-4)))/(1/15). Factor -5*k**3 + 5*k + 5/3*k**2 - y + 5/3*k**4.
5*(k - 2)*(k - 1)**2*(k + 1)/3
Let a(x) be the third derivative of -x**6/420 + 3*x**5/70 + x**4/7 - 20*x**3/21 + x**2 - 233. Solve a(y) = 0 for y.
-2, 1, 10
Let j(a) be the second derivative of -a**5/10 + 1843*a**4/42 - 526*a**3/21 - 7954*a. Find y, given that j(y) = 0.
0, 2/7, 263
Let j(z) be the third derivative of 3*z**7/770 + 29*z**6/1320 + z**5/110 + 4212*z**2. Solve j(s) = 0 for s.
-3, -2/9, 0
Let b(c) = -4*c**2 - 327*c - 350. Let o(k) = -66*k**2 - 5558*k - 5942. Let j(m) = 100*b(m) - 6*o(m). Factor j(u).
-4*(u - 163)*(u + 1)
Let z(p) be the third derivative of -p**5/210 + 17*p**4/3 - 8092*p**3/3 - 22*p**2 + 3*p. Find i such that z(i) = 0.
238
Let p(r) = r**3 + 12*r**2 + 10*r - 16. Let k(m) be the first derivative of m**4/4 + 11*m**3/3 + 9*m**2/2 - 15*m - 70. Let g(h) = -7*k(h) + 6*p(h). Factor g(o).
-(o - 1)*(o + 3)**2
Let s(h) be the second derivative of -9*h**6/2 - 204*h**5/5 - 417*h**4/4 - 99*h**3 - 12*h**2 - 165*h. Determine m, given that s(m) = 0.
-4, -1, -2/45
Let g = -998 + 998. Let y be g + 15*(-9)/(-180). Solve -3/2 - 9/4*z + y*z**3 + 0*z**2 = 0 for z.
-1, 2
Suppose 16*y + 55*y = 2556. Let q be (-1)/(y/(-84)) - -1. Find c such that 0 + 2/3*c**5 + 8/3*c**4 + 0*c + q*c**3 + 4/3*c**2 = 0.
-2, -1, 0
Let f be ((-51)/(-170))/((-24)/(-160)). Let o(z) be the first derivative of -1/2*z**f + 2*z - 1/3*z**3 + 7. Factor o(k).
-(k - 1)*(k + 2)
Let x be 2 + ((-168)/(-48))/((-21)/(-6)). Let w(d) be the second derivative of -1/15*d**x + 0*d**2 + 23/60*d**4 + 40*d + 0. Suppose w(u) = 0. What is u?
0, 2/23
Let m(u) be the first derivative of u**5/15 - 2*u**4 + 59*u**3/9 + 14*u**2 - 1151. Factor m(w).
w*(w - 21)*(w - 4)*(w + 1)/3
Let l(c) = -c**2 + 5*c + 1. Let i(w) = 6*w**2 + 19*w + 155. Let j(r) = i(r) + 5*l(r). Factor j(d).
(d + 4)*(d + 40)
Factor 147/4*n + 141/4 + 3/2*n**2.
3*(n + 1)*(2*n + 47)/4
Let s(o) be the first derivative of 10*o**3/3 + 8*o**2/5 - 5367. Factor s(w).
2*w*(25*w + 8)/5
Let w = -1534 - -976. Let t = w + 1675/3. Find a such that 10/3*a + 0 - t*a**2 = 0.
0, 10
Let g(z) be the second derivative of 2*z**7/231 - 19*z**6/55 + 194*z**5/55 - 46*z**4/3 + 32*z**3 - 320*z**2/11 + 4162*z - 2. Suppose g(w) = 0. What is w?
1/2, 2, 4, 20
Let w = -7 - -6. Let j = 1 - w. Factor 3 + 5*a**j - 3 + 0 + 10*a.
5*a*(a + 2)
Factor -47*h**3 - 1694/3*h**2 - 1700*h - 24.
-(h + 6)**2*(141*h + 2)/3
Let a(n) be the first derivative of -5 - 3/4*n**3 - 17/8*n**2 + 1/2*n. Solve a(y) = 0.
-2, 1/9
Let h be 130/25 + (-6)/30 - (6 - 1). Let v(b) be the second derivative of -b + h*b**2 - 1/90*b**4 + 0 - 2/45*b**3. Solve v(p) = 0.
-2, 0
Let o(p) be the first derivative of -p**6 - 471*p**5/10 - 5661*p**4/8 - 2191*p**3 + 23961*p**2 + 12348*p - 2207. Determine c, given that o(c) = 0.
-14, -1/4, 3
Let k(t) = 144*t**2 - 4758*t + 3336. Let v(w) = -11*w**2 + 366*w - 256. Let o(s) = -2*k(s) - 27*v(s). Solve o(a) = 0 for a.
2/3, 40
Let l = -163 + 170. Let i be -20*(3 - 4)*1. Suppose i*x + 39*x**2 + 2*x**3 - 4*x**3 + 10*x - l*x**3 = 0. What is x?
-2/3, 0, 5
Factor -p**4 + 5 - 8*p + 1142*p**3 - 4*p**2 - 1136*p**3 - 3*p + 5*p.
-(p - 5)*(p - 1)**2*(p + 1)
Let y(d) be the second derivative of -d**8/2240 + d**7/420 + d**6/16 + 17*d**4/12 - d**3/2 - 77*d. Let b(i) be the third derivative of y(i). Factor b(u).
-3*u*(u - 5)*(u + 3)
Let n be -17 + -12 + (-85267)/(-2940). Let u(l) be the third derivative of 7/12*l**4 - 20*l**